Lucy reads 450 words in 3 minutes.
This is an equation that can be used to
find w, the number of words Lucy can
read in 20 minutes if she continues to
read at the same rate?

Answers

Answer 1

Answer:

3000 words

Step-by-step explanation:

450 words in 3 minutes is 150 words in 1 minute. 20 minutes = 1 times 20.          

1 minute = 150 words so 150 words times 20 minutes = 3000 words.


Related Questions

Una profesora compra 28 manzanas para compartir con sus estudiantes; al día siguiente revisa la cesta con las frutas y ve que se le han dañado 2/7 del total de manzanas que había comprado. Para reponer las frutas dañadas ella debe comprar

Answers

Answer:

La profesora debe comprar 8 manzanas para reponer la cesta de frutas.

Step-by-step explanation:

La profesora debe reponer la cesta de frutas por la cantidad de manzanas que se encuentran dañadas. La cantidad de manzanas dañadas es igual a las dos séptimas partes del total de manzanas. Es decir:

[tex]x = \frac{2}{7} \times (28\,manzanas)[/tex]

[tex]x = \frac{56\,manzanas}{7}[/tex]

[tex]x = 8\,manzanas[/tex]

La profesora debe comprar 8 manzanas para reponer la cesta de frutas.

5 - (4 - 3x) = 10
how would u distubute in this problem

Answers

Answer:

x = 3

Step-by-step explanation:

Given

5 - (4 - 3x) = 10 ← distribute the terms in the parenthesis by - 1

5 - 4 + 3x = 10, that is

1 + 3x = 10 ( subtract 1 from both sides )

3x = 9 ( divide both sides by 3 )

x = 3

To bake 12 cookies, I use 2 quarts of milk. There are 2 pints in a quart. How many pints of milk do I need to bake 3 cookies?

Answers

Answer:

1 pint

Step-by-step explanation:

You need 2 * 2 = 4 pints to make 12 cookies. Since 3 cookies is 1/4 of 12 cookies, you would need 1/4 * 4 = 1 pint of milk to make 3 cookies.

Answer:

1 pint

Step-by-step explanation:

12c=4p

divide both sides by 4

3 cookies needs 1 pint!!!!

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

       ✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                                      PEACE!

The size of a television screen is given as 95 cm, correct to the nearest 5 cm.
Write down the upper bound of the size of the television screen.

Answers

Answer:

U B = 100.5

Step-by-step explanation:

the upper bound of the size of the television screen= 95.5 since it is corrected to the nearest 5 then the U B =100.5 cm

The upper bound of the size of the television screen is 100.5 cm

The conversion of the size of the television screen to the nearest 5cm from the initial size of 95 cm is = 100 cm.

Now, the upper bound of the size of the television screen which is 100 is can be determined by the addition of a half value to 100 cm:

i.e.

= (1/2) + 100 cm

= 0.5 + 100 cm

= 100.5 cm

Therefore, we can conclude that the upper bound of the size of the television screen is 100.5 cm

Learn more about nearest value here:

https://brainly.com/question/16382026?referrer=searchResults

Convert 1.2 radians to an
angle in degrees​

Answers

Answer:

Below

Step-by-step explanation:

Let x be the measure in degrees

● x/180 = 1.2/Pi

Cross multiply the values

● x*Pi = 180×1.2

● x = 216/Pi

Take Pi = 3.14

● x = 68.78 wich is approximatively 69°

Answer it answer it answer it.

Answers

Answer:

Option C. P = 3/q

Step-by-step explanation:

To know the the correct answer to the question, do the following:

Let us assume a certain number for P say 2 and 3, and then, find the corresponding value for q in each case to see which will give a decreased value for q.

Option A

When P = 2, q =.?

P = 3q

2 = 3q

Divide both side by 3

q = 2/3

When P = 3, q =.?

P = 3q

3 = 3q

Divide both side 3

q = 3/3

q = 1

From the above illustration, we can see that as P increase, q also increase.

Option B

When P = 2, q =.?

P – 3 = q

2 – 3 = q

q = – 1

When P = 3, q =.?

P – 3 = q

3 – 3 = q

q = 0

From the above illustration, we can see that as P increase, q also increase.

Option C

When P = 2, q =.?

P = 3/q

2 = 3/q

Cross multiply

2 × q = 3

Divide both side by 2

q = 3/2

q = 1.5

When P = 3, q =.?

P = 3/q

3 = 3/q

Cross multiply

3 × q = 3

Divide both side by 3

q = 3/3

q = 1

From the above illustration, we can see that as P increase, q decreases.

Option D.

When P = 2, q =.?

1/p = 3/q

1/2 = 3/q

Cross multiply

1 × q = 2 × 3

q = 6

When P = 3, q =.?

1/p = 3/q

1/3 = 3/q

Cross multiply

1 × q = 3 × 3

q = 9

From the above illustration, we can see that as P increase, q also increase.

Now, haven done the above, only option C gives a decreased value for q as the value of P increases.

c  

this before

Step-by-step explanation:

28.Neethi had 8
1
4
cups of flour and 3 liters of juice with her. She decided to make cupcakes and

distribute juice for her birthday.
a) A cupcake requires 3
4
cup of flour. How many cupcakes can she make?



Answers

Answer:

2 1/3 cupcakes

Step-by-step explanation:

A cupcake can make 3 four cups of flour

In 8 fourteen cups of flour, require (14 X 4)/(3 X 8) of cupcakes

  = 56/24 = 2 1/3 cupcakes


A.) 170
B.) 300
C.)280
D.)155
Please help me

Answers

Answer:

Step-by-step explanation:

The formula for this is

∠G = 1/2(arcEH - arcHF)

We have angle G (5x - 10) and we have arcEH (195) so we have to solve for x to find the measure of arcEHF so we can add arcEH + arcHF = arcEHF

Filling in the formula with what we have:

[tex]5x-10=\frac{1}{2}(195-(8x+17))[/tex]

which simplifies down a bit to

[tex]5x-10=\frac{1}{2}(195-8x-17)[/tex] which simplifies down a bit more to

[tex]5x-10=\frac{1}{2}(178-8x)[/tex] Multiply both sides by 2 to get rid of the fraction and get:

2(5x - 10) = 178 - 8x which of course simplifies to

10x - 20 = 178 - 8x. Now add 8x to both sides and at the same time add 20 to both sides to get:

18x = 198 so

x = 11. Now we can find the measure of arcHF:

arcHF is 8x + 17, so arcHF is 8(11) + 17 which is 105°.

arcEH + arcHF = arcEHF so

195 + 105 = arcEHF so

arcEHF = 300°

Find an equation of the line: Through the point (2, −4) with a y-intercept of −2 Through the points (4,2) and (3,1) Through the point (3,2) with a slope of −2

Answers

Answer and Step-by-step explanation: Equations of line through points and slope can be determined by:

[tex]y-y_{0}=m(x-x_{0})[/tex]

m is slope

Point (2,-4) and y-intercept = -2

Y-intercept is point (0,-2)

m = [tex]\frac{y_{a}-y_{b}}{x_{a}-x_{b}}[/tex]

m = [tex]\frac{-4-(-2)}{2-0}[/tex]

m = - 1

Equation:

[tex]y+2=-1(x-0)[/tex]

[tex]y=-x-2[/tex]

Points (4,2) and (3,1)

m = [tex]\frac{2-1}{4-3}[/tex]

m = 1

Equation:

[tex]y-2=(x-4)[/tex]

[tex]y=x-2[/tex]

Point (3,2) and slope = -2

m = -2

Equation:

[tex]y-2=-2(x-3)[/tex]

[tex]y=-2x+6+2[/tex]

[tex]y=-2x+8[/tex]

complete the square to solve
f(x)=x^2+6x-7​

Answers


Answer: x = 1 and x = -7

Explanation:
x^2 + 6x - 7 = 0
x^2 + 6x + 3^2 = 7 + 3^2
(x + 3)^2 = 16
x + 3 = +-4 (square both sides)

x + 3 = 4
x = 1

x + 3 = -4
x = -7

-3 = 7 - BLANK pls tell me what blank is

Answers

Answer:

10

Step-by-step explanation:

-3 = 7 - x

Add x to both sides

x -3 = 7 - x +x

x - 3 = 7

Now, add 3 to both sides

x - 3 + 3 = 7 + 3

x = 10

Answer:

[tex]\boxed{10}[/tex]

Step-by-step explanation:

[tex]-3=7- \sf BLANK[/tex]

[tex]\sf Subtract \ 7 \ from \ sides.[/tex]

[tex]-3-7=-7+7- \sf BLANK[/tex]

[tex]-10=- \sf BLANK[/tex]

[tex]\sf Multiply \ both \ sides \ by \ -1.[/tex]

[tex]-10(-1)=(-1)- \sf BLANK[/tex]

[tex]10= \sf BLANK[/tex]

Angles L and M are supplementary. What is the sum of
their measures?
The sum of the measures of angles L and M is

Answers

180 degree

Step-by-step explanation:

supplementary means anhke havinv sum of 180 degree

so sum to two supplemrntary angles is 180 drgree

Answer: 180

Supplementary angles always add to 180.

One way I think of it is "supplementary angles form a straight angle", and both the words "supplementary" and "straight" start with the letter "S".

In contrast, complementary angles form a corner. Both "complementary" and "corner" start with "co". By "corner", I mean a 90 degree corner.

The drama club is selling tickets to its play. An adult ticket costs $15 and a student ticket costs $11. The auditorium will seat 300 ticket-holders. The drama club wants to collect at least $3630 from ticket sales.

Answers

Answer:

83 adult tickets and 217 student tickets.

Step-by-step explanation:

Let number of adult tickets sold = [tex]x[/tex]

Given that total number of tickets = 300

So, number of student tickets = 300 - [tex]x[/tex]

Cost of adult ticket = $15

Cost of student ticket = $11

Total collection from adult tickets = $[tex]15x[/tex]

Total collection from student tickets =  [tex](300-x)\times 11 = 3300-11x[/tex]

Given that overall collection = $3630

[tex]15x+(3300-11x) = 3630\\\Rightarrow 15x-11x=3630-3300\\\Rightarrow 4x = 330\\\Rightarrow x = 82.5[/tex]

So, for atleast $3630 collection, there should be 83 adult tickets and (300-83 = 217 student tickets.

Now , collection = $3632

Manuel made at least one error as he found the value of this expression. Identify the step in which Manuel made his first error. After identifying the step with the first error, explain the corrected steps and find the final answer.

Answers

Answer:

Manuel made his first mistake in step 2 leading to the continuous mistakes

Final answer=185

Step-by-step explanation:

Manuel made at least one error as she found the value of this expression. 2(-20) + 3[5/4(-20)] + 5[2/5(50)] + 4(50) Step 1: 2(-20) + 3(-25) + 5(20) + 4(50) Step 2: (3 + 2)(-20 + -25) + (5 + 4)(20 + 50) Step 3: 5(-45) + 9(70) Step 4: -225 + 630 Step 5: 405 Identify the step in which Chris made her first error. After identifying the step with the first error, write the corrected steps and find the final answer.

2(-20) + 3[5/4(-20)] + 5[2/5(50)] + 4(50)

Step 1: 2(-20) + 3(-25) + 5(20) + 4(50)

Step 2: -40 - 75 + 100 +

200

Step 3: -115 + 300

Step 4: 185

Manuel made his first error in step 2 by combining two different terms into one as he has done

(3 + 2)(-20 + -25) and also (5 + 4)(20 + 50)

Step 2: (3 + 2)(-20 + -25) + (5 + 4)(20 + 50)

Step 3: 5(-45) + 9(70) Step 4: -225 + 630 Step 5: 405

He should have evaluated the terms separately as I have done above, giving us 185 as the final answer in contrast to his 405 final answer.

What is 25x + 67y if x = 23 and y = 36. Give explanation please! ​

Answers

Answer:

2987.

Step-by-step explanation:

25(23) + 67(36) = 575 + 2412 = 2987.

Hi there! Hopefully this helps!

------------------------------------------------------------------------------------------------------------

Answer: 2987

First we need to rewrite the equation. Since x = 23 and y = 36 the equation should look like this for easier steps:

25(23) + 67(36) = ?

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Now since there numbers by other numbers in parentheses, we need to multiply them.

25 x 23 = 575.

67 x 36 = 2412.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Now that the equation is in its final form, we write it like this for the answer:

575 + 2412 =

2987.

G(x)= -\dfrac{x^2}{4} + 7g(x)=− 4 x 2 ​ +7g, left parenthesis, x, right parenthesis, equals, minus, start fraction, x, squared, divided by, 4, end fraction, plus, 7 What is the average rate of change of ggg over the interval [-2,4][−2,4]open bracket, minus, 2, comma, 4, close bracket?

Answers

Answer:

-1/2

Step-by-step explanation:

Given the function [tex]G(x)= -\dfrac{x^2}{4} + 7[/tex], the average rate of change of g(x) over the interval [-2,4], is expressed as shown below;

Rate of change of the function is expressed as g(b)-g(a)/b-a

where a - -2 and b = 4

[tex]G(4)= -\dfrac{4^2}{4} + 7\\G(4)= -\dfrac{16}{4} + 7\\G(4)= -4 + 7\\G(4) = 3\\[/tex]

[tex]G(-2) = -\dfrac{(-2)^2}{4} + 7\\G(-2)= -\dfrac{4}{4} + 7\\G(-2)= -1 + 7\\G(-2)= 6[/tex]

average rate of change of g(x) over the interval [-2,4] will be;

[tex]g'(x) = \frac{g(4)-g(-2)}{4-(-2)}\\ g'(x) = \frac{3-6}{6}\\\\g'(x) = -3/6\\g'(x) = -1/2[/tex]

jim buys a calculator that is marked 30% off. If he paid $35, what was the original price?

Answers

Answer:

x = 50

Step-by-step explanation:

Let x be the original price.

He got 30% off

The discount is .30x

Subtract this from the original price to get the price he paid

x - .30x = price he paid

.70x = price he paid

.70x = 35

Divide each side  by .7

.70x/.7 = 35/.7

x=50

The answer is- $45.05

Simplify 18 - 2[x + (x - 5)].
A) 13 - x
B) 13 - 4x
C) 8 - 4x
D) 28 - 4x

Answers

Answer:

Well the correct answer is −4x+28... But I don't

see that as one of your options. :/

Simplify:

18−2(x+x−5)

Distribute:

=18+(−2)(x)+(−2)(x)+(−2)(−5)

=18+−2x+−2x+10

Combine Like Terms:

=18+−2x+−2x+10

=(−2x+−2x)+(18+10)

=−4x+28

Answer:

−4x+28

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{28 - 4x}}}}}[/tex]

Option D is the correct option.

Step-by-step explanation:

18 - 2 [ x + ( x - 5 ) ]

Remove the unnecessary Parentheses

⇒18 - 2 [ x + x - 5 ]

Collect like terms

⇒18 - 2 [ 2x - 5 ]

Distribute 2 through the parentheses

⇒18 - 4x + 10

Add the numbers

28 - 4x

Hope I helped!

Best regards!!

Find the area of the shape shown below.
9.0
3.5
2
5
2.
units

Answers

Answer: 42.5 unit^2

Explanation:

Answer:

[tex] \boxed{42.5 \: {units}^{2} }[/tex]

Step-by-step explanation:

The shape could be divided into a rectangle and a trapezoid ( bottom part )

Let's find the area of the given shape:

Area of the given shape = [tex] \mathsf{ (l \times b) + \frac{1}{2} (b1 + b2)h}[/tex]

plug the values

[tex] \mathsf{ = (3.5 \times 9) + \frac{1}{2} (9 +9 - (5 + 2) \times 2}[/tex]

[tex] \mathsf{ = (3.5 \times 9) + \frac{1}{2} (9 + 2)(2)}[/tex]

[tex] \mathsf{ = 31.5 + \frac{1}{2} \times 11 \times 2}[/tex]

[tex] \mathsf{ = 31.5 + 11}[/tex]

[tex] \mathsf{ = 42.5 \: {units}^{2} }[/tex]

Hope I helped!

Best regards!

April typed a 5 page report in 50 mintues. Each page had 500 words at what rate is April typing

Answers

Answer:

Amy types at a rate of 50 words per minute

Step-by-step explanation:

In this question, we are interested in calculating the rate at which April is typing.

From the question, we can deduce that she typed a 5 page report, with each page having a total of 500 words.

Now, if each page has 500 words, the total number of words in all of the pages will be 5 * 500 = 2,500 words

Now, from here, we can see that 2,500 words were typed in 50 minutes.

The number of words per minute will be ;

Total number of words/Time taken = 2500 words/50 minutes

That will give a value of 50 words per minute

Combine like terms to simplify the expression: -5.55-8.55c+4.35c

Answers

Answer:

-5.55 - 4.2c

Step-by-step explanation:

-5.55 - 8.55c + 4.35c

'-8.55c' and '4.35c' are like terms because of them containing the same variable of 'c'.

Combine:

-5.55 - 8.55c + 4.35c

-8.55 + 4.35 = -4.2

-5.55 - 4.2c

Hope this helps.

Given that v = u + 10t, find y when
u= 6 and t = 9.

Answers

Answer:

hey here is the answer

Step-by-step explanation:

Subject of the formula:

It is a variable which is expressed in terms of other variables involved in the formula.

Formulas are written so that a single variable, the subject of the formula is on the L.H.S. of the equation. Everything else goes on the right side of the equation. We evaluate the formula by substituting for the literal numbers on the right hand side.

For example:

In the formula v = u + at, v is the subject.

To find v in the example, we substitute the values u, a and t in the R.H.S. of the equation.

Changing the subject of the formula:

To change the subject of a formula, begin with the variable to become the new subject, and apply inverse operation as for solving equations in the opposite order to the order conventions.  

1. To make ‘u’ the subject of the formula in v = u + at,  

  [subtract at from both sides]

v - at = u

or, u = v - at

2. To make ‘t’ the subject of the formula, v = u + at,

 [subtract u from both sides]

v - u = at

or, (v - u )/a = t

or, t = (v - u)/a

Change the Subject of a Formula

The value of the equation is v = 96 when u = 6 and t = 9

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

v = u + 10t   be equation (1)

when u = 6 and t = 9

Substitute the value of u and t in the equation , we get

v = 6 + 10 ( 9 )

On simplifying the equation , we get

v = 6 + 90

v = 96

Therefore , the value of v is 96

Hence , the equation is v = 96

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

PLEASE HELP!!!
Which expression shows a way to find the area of the following rectangle?

Answers

Answer:

B

Step-by-step explanation:

This rectangle appears to have 7 boxes on the bottom, and 3 box for the side.

Since area is base×height

It would be 7×3

B- 7x3 to find the area you do l•w the pic shows 6x2 but u can see there’s room for another square

How do I solve 3(x+1)=5(x−2)+7?

Answers

Answer:

x = 3

Step-by-step explanation:

[tex]3\left(x+1\right)=5\left(x-2\right)+7\\Expand\\3x+3 =5x -10+7\\Collect \:like\: terms\\3x-5x = -10+7-3\\-2x = -6\\Divide \:both\:sides\:of\:the\:equation\:by\:-2\\\frac{-2x}{-2} = \frac{-6}{-2}\\ \\x = 3[/tex]

Answer:

 x = 3

Step-by-step explanation:

3(x+1)=5(x−2)+7

Use the distributive property to multiply 3 by x+1.

3x+3=5(x−2)+7

Use the distributive property to multiply 5 by x−2.

3x+3=5x−10+7

Add −10 and 7 to get −3.

3x+3=5x−3

Subtract 5x from both sides.

3x+3−5x=−3

Combine 3x and −5x to get −2x

−2x+3=−3

Subtract 3 from both sides.

−2x=−3−3

Subtract 3 from −3 to get −6.

−2x=−6

Divide both sides by −2.

x = -6/2

Divide −6 by −2

x = 3

Both Fred and Ed have a bag of candy containing a lemon drop, a cherry drop, and a lollipop. Each takes out a piece and eats it. What are the possible pairs of candies eaten? A. Lemon-lemon, cherry-lemon, lollipop-lollipop, lemon-cherry, cherry-cherry, lemon-lollipop, lollipop-cherry, cherry-lollipop, lollipop-lemon B. Cherry-lemon, lemon-lollipop, lollipop-cherry, lollipop-lollipop, lemon-lemon C. Lemon-cherry, lemon-cherry, lemon-cherry, lemon-lollipop, lemon-lollipop, lemon-lollipop, cherry-lollipop, cherry-lollipop, cherry-lollipop D. Lemon-lemon, cherry-lemon, lollipop-lollipop, lemon-lollipop, cherry-cherry, lemon-lollipop, lollipop-cherry, cherry-lemon, lollipop-lemon

Answers

Answer:

A. Lemon-lemon, cherry-lemon, lollipop-lollipop, lemon-cherry, cherry-cherry, lemon-lollipop, lollipop-cherry, cherry-lollipop, lollipop-lemon

Step-by-step explanation:

From the above question, we are told that both Fred and Ed have a bag of candy containing a lemon drop, a cherry drop, and a lollipop

There are two events here's

2 people = Fred and Ed

3 bags of different sweets = Lemon Cherry and Lollipop

The number of ways that both of them can eat this singly is calculated using combination formula

C(n, r) = nCr = n!/r! (n - r)!

n = 3, r = 2 = 3C2 = 3!/2! (3 - 2)!

= 3 × 2 × 1/2 × 1

= 3

We were asked to find the possible pairs

Hence = 3² = 9

There are 9 possible pairs through which Fred and Ed can eat their sweets and they are:

1) Lemon - Lemon

2) Cherry - Cherry

3) Lollipop - Lollipop

4) Lemon - Cherry

5) Cherry - Lemon

6) Lollipop - Cherry

7) Cherry - Lollipop

8) Lollipop - Lemon

9) Lemon - Lollipop.

Therefore, Option A is the correct option

Answer:

LEMONS BURN YOUR HOUSE DOWN JK its this A. Lemon-lemon, cherry-lemon, lollipop-lollipop, lemon-cherry, cherry-cherry, lemon-lollipop, lollipop-cherry, cherry-lollipop, lollipop-lemon

Step-by-step explanation:

From the above question, we are told that both Fred and Ed have a bag of candy containing a lemon drop, a cherry drop, and a lollipop

There are two events here's

2 people = Fred and Ed

3 bags of different sweets = Lemon Cherry and Lollipop

The number of ways that both of them can eat this singly is calculated using combination formula

C(n, r) = nCr = n!/r! (n - r)!

n = 3, r = 2 = 3C2 = 3!/2! (3 - 2)!

= 3 × 2 × 1/2 × 1

= 3

We were asked to find the possible pairs

Hence = 3² = 9

There are 9 possible pairs through which Fred and Ed can eat their sweets and they are:

1) Lemon - Lemon

2) Cherry - Cherry

3) Lollipop - Lollipop

4) Lemon - Cherry

5) Cherry - Lemon

6) Lollipop - Cherry

7) Cherry - Lollipop

8) Lollipop - Lemon

9) Lemon - Lollipop.

Therefore, Option A is the correct option

Find the length of the base and the height and calculate the area

Answers

Answer:

44

Step-by-step explanation:

base = 3- -5 = 8

height = 8 - -3 = 11

1/2 bh

1/2(8)(11) = 44


WILL GIVE BRAINLIEST!!!

Answers

Answer:

2 x^2 sqrt(13)

Step-by-step explanation:

sqrt( 52x^4)

sqrt( 4*13 * x^2 * x^2)

We know that sqrt(ab) = sqrt(a) sqrt(b)

sqrt( 4)*sqrt(13) *sqrt( x^2) *sqrt( x^2)

2 sqrt(13) x*x

2 x^2 sqrt(13)

52|2

26|2

13|13

1

[tex]\sqrt{52x^4}=\sqrt{2^2\cdot13\cdot(x^2)^2}=2x^2\sqrt{13}[/tex]

In right triangle ΔABC (m∠C = 90°), point P is the intersection of the angle bisectors of the acute angles. The distance from P to the hypotenuse is equal to 4 in. Find the perimeter of △ABC if AB = 12 in.

Answers

Answer:

the perimeter of ΔABC is 32in

Step-by-step explanation:

We know that intersection point of the angle bisectors refers to the incenter of the triangle,.

Given tmthe radius of 4inch for the centre of the incircle.

One of the properties of the incircle is that the distances (d) from vertex C to the nearest touchpoints are equal and have the value

In an incircle , the distances (d) along vertex C and touchpoints have equal value and can be expressed as

d = 1/2(a +b -c)

And a, b, c represent lengths of the sides

We were given the hypotenuse (c) as 12 in, with the radius of 4inch for the

distance from the right-angle vertex C to the incircle touchpoints .

We can determine the sum a+b as

4 = (1/2)(a+b -12) .

4/(1/2)= (a+b -12)

8= (a+b -12)

20=a+b

Which is the addition of length of the two legs of the triangle.

We can determine the perimeter which is the addition of the leg lengths as well as the hypotenuse length.

perimeter = 20 in + 12 in = 32 in

Therefore, the perimeter of ΔABC is 32in

multiply 2x^2-4x 6c^2-5x

Answers

Answer:

a

Step-by-step explanation:

2x^2-4x 6x^2-5x

2x^2 times 6x^2= 12x^4

2x^2 times -5x= -10x^3

-4x times 6x^2= -24x^3

-4x times -5x= 20x^2

12x^4-10x^3-24x^3+20x^2

12x^4-34x^3+20x^2

(Also Brainliest if this helps pls)

A timeline. 27 B C E to 180 C E PAX ROMANA. 44 B C E The Roman Empire was founded. 80 C E The Colosseum was built. 121 C E Hadrian's Wall was built in England to keep out enemies. 306 C E Constantine became emperor.
How many years passed between the building of the Colosseum and the building of Hadrian’s Wall?

201
121
41
36

Answers

Answer:

the answer is 41

Step-by-step explanation:

C. 41

Step-by-step explanation:

Other Questions
C'est ____ livre (mon, ma, mes) HELP idk what the slope is A researcher reports a 98% confidence interval for the proportion of Drosophila in a population with mutation Adh-F to be [0.34, 0.38]. Therefore, there is a probability of 0.98 that the proportion of Drosophola with this mutation is between 0.34 and 0.38. True or False Find the intersection point for the following liner function f(x)= 2x+3 g(x)=-4x-27 Is 100 a good estimate for the difference of 712 and 589? If it is, explain why it is a good estimate. If it is not, explain why it is a bad estimate. How many of the positive integer factors of 15552 are perfect squares? (WILL MARK BRAINLIEST IF CORRECT) calculate the power of an engine which can supply 60kg of energy per minute 3,3-dibromo-4-methylhex-1-yne Refer to the following scenario to answer the following questions. Five fishermen live in a village and have no other employment or income-earning possibilities besides fishing. They each own a boat that is suitable for fishing but does not have any resale value. Fish are worth $5 per pound, and the marginal cost of operating the boat is $500 per month. They all fish a river next to the village. According to the following schedule, they have determined that when there are more of them out on the river fishing, they each catch fewer fish per month.Boats Fish Caught per Boat (pounds) 1 200 2 190 3 175 4 155 5 130 How many fishermen will choose to operate their boats? Using the insurance company's assumptions, calculate the probability that there are fewer than 3 tornadoes in a 14-year period. Round your answer to four decimal places. Margarita, age 30, used to work 80 hours a week as a corporate lawyer. this year she quit her job to take care of her five-month-old daughter. she is currently not looking for a job. the survey conducted by the bureau of labor statistics will count margarita today as choose one:a. not in the labor force.b. not in the working-age population.c. a discouraged worker.d. employed.e. unemployed. Maya can't find her red sandals. Tamiko is wearing red sandals. Therefore, Tamiko stole Maya's shoes. This is an example of Heterocyclic aromatic compounds undergo electrophilic aromatic substitution in a similar fashion to that undergone by benzene with the formation of a resonance-stabilized intermediate. Draw all of the resonance contributors expected when the above compound undergoes bromination What is the function of the nucleus? A. Builds proteins B. Stores the cell's glucose C. Stores the cell's DNA D. Produces energy for the cell by respiration In a concentrated network configuration:a. firms perform a supply chain activity in one location and serve foreign locations from itb. firms allow each site on the network to operate with full autonomyc. firms tightly link operations and supply chain activities to one anotherd. firms perform a supply chain activity in various countries A brick weighs 50.0 N, and measures 30.0 cm 10.0 cm 4.00 cm. What is the maximum pressure it can exert on a horizontal surface due to its weight? Llevaste un paraguas contigo? No. No ___ llev. *(A) La (B) Lo (C) Las (D) Los (E) El This table shows a linear relationship.The slope of the line is ? Water flows through a pipe at a rate of 4 quarts per day. Express this rate of flow in liters per week. Round your answer to the nearest tenth. What is the volume of this rectangular prism?2 cm7/3 cm2 cm