I would appreciate the help on all of these :)

I Would Appreciate The Help On All Of These :)

Answers

Answer 1

Answer:

Pythagoras theorem states that c²=a²+b²

14²=12²+x²

14²-12²=x²

196-144=x²

52=x²

√52=√x²

7.2111025509279785=x

rounded up to the nearest hundredth=7.21


Related Questions

Self Practice 5.3
1. Find the sum of the following arithmetic progression.

(a) -20, -15, -10, ..., 100

Answers

Answer:

5

Step-by-step explanation:

Have a phd in mathematics! Congrats on your first question!!!! Send me a brainlist :)

What is the value of tan in the unit circle below?

Answers

Question:-

What is the value of tan in the unit circle below?

Answer:-

The value of tan in the unit circle below is

[tex] \frac{ \sqrt{3} }{2} [/tex]

Note:- Please attach the full question next time.


Problem: Construct a triangle with interior angle measures of 60° and 60°. Let one of the side lengths be 10. What are the lengths of the other sides?

Answers

Answer:

Step-by-step explanation:

Given a triangle with angles 60° and 60°. Let the third angle be represented by x, so that;

x + 60° + 60° = [tex]180^{o}[/tex] (sum of angle in a triangle)

x + 120 = [tex]180^{o}[/tex]

x = [tex]180^{o}[/tex] - 120

x = 60°

Thus, since the third angle of the triangle is 60°, then the triangle is an equilateral triangle. For an equilateral triangle, all sides are equal and all its angles are equal. So that the other sides of the triangle is 10 each.

<ABC ≅ <BAC ≅ < ACB ≅ 60°

AB = BC = AC = 10 cm

The required construction for the question is attached to this answer for more clarifications.

Answer:

It's an obtuse angle

Step-by-step explanation:

What is the square root of 538?

Answers

Answer:

23.1948270095

Step-by-step explanation:

23.1948270095 usually it’s the first 4 digits lol

A water tower casts a 100-foot shadow. At the same time, an 8-foot stri
sign casts a shadow of 6 feet. What is the height of the towers?

Answers

Set up ratios of height / shadow length:

8/6 = x/100

Cross multiply

6x = 800

Divide both sides by 6

X = 133.33 feet

The tower is 133.3 feet

For 12-15, find the missing measures

Answers

Answer:

12. d= 14, C=14π, A=49π

13. r= 13, d=26, A=169π

14. r=9, C=18π, A=81π

15. r=10, d=20, C=20π

Step-by-step explanation:

please help so I can watch Coop and Cami ask the world

Answers

Step-by-step explanation:

Simple interest=principal x rate x time÷100

amount borrowed=$500

I=$500x7x6÷100

I=$210

therefore you will pay

amount borrowed+interest

$500+$210

$710

hope this is helpful

What is the measure of angle ABC?

Answers

Answer:

the answer is already in the question

D. 130°

D. 130

Find the value of the following​

Answers

Answer:

110.01 (aprox)

Step-by-step explanation:

x + (1/x) = 5

x(x + (1/x)) = x(5)

x*x + x*1/x = 5x

x² + 1 = 5x

x² - 5x + 1 = 0

x = {-(-5)±√((-5²) -(4*1*1))} / (2*1)

x = {5±√(25-4)} / 2

x = {5±√21} / 2

x = {5±4.5826} / 2

x₁ = {5-4.5826} / 2 = 0.4174/2 = 0.2087

x₂ = {5+4.5826) / 2 = 9.5826/2 = 4.7913

Comprobación:

x₁

0.2087 + 1/0.2087 = 5

0.2087 +  4.7913 = 5

x₂

4.7913 + 1/4.7913 = 5

4.7913 + 0.2087 = 5

Respuesta:

x₁

(0.2087)³ + 1/(0.2087)³ = 0.0091 + 1/0.0091 = 0.0091 + 110.0101 = 110.019

x₂

(4.7913)³ + 1(4.7913)³ = 110 + 1/110 = 110 + 0.01 = 110.01

does the point (-4, 2) lie inside or outside or on the circle x^2 + y^2 = 25?​

Answers

Given equation of the Circle is ,

[tex]\sf\implies x^2 + y^2 = 25 [/tex]

And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,

[tex]\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2[/tex]

Here we can say that ,

• Radius = 5 units

• Centre = (0,0)

Finding distance between the two points :-

[tex]\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }[/tex]

Here we can see that the distance of point from centre is less than the radius.

Hence the point lies within the circle .

Answer:

these points lie INSIDE THE CIRCLE

Hope it helps

have a nice day

A car is sold for $7560 at a loss of 10%. What is the original cost of the car?

Answers

Answer:

car(c.p)=$8400

Step-by-step explanation:

L%=(c.p-s.p)100%

c.p

10%=(c.p-7560)100%

c.p

10c.p=100c.p-756,000

(10-100)c.p= -756,000

-90c.p= -756,000

-90 -90

c.p=8400

Does the data below describe a linear,
quadratic, or exponential function?

Answers

Answer:

Quadratic.

Step-by-step explanation:

Both linear and exponential equations are monotone increasing or monotone decreasing functions.

This means that, as the input increases, the output will only increase or only decrease, but never both.

Here for our data, we can see that first we have:

x = -8

y = 13

Then x increases to x = -6, and y decreases to y = 9

Then x increases to x = -4 and y increases to y = 13

Then this function is not monotone increasing nor monotone decreasing, so the data can not describe a linear nor an exponential function.

Then the correct option is quadratic.

cone is inscribed in a cylinder. A square pyramid is inscribed in a rectangular prism. The cone and the pyramid have the same volume. Part of the volume of the cylinder, 1 V 1 , is not taken up by the cone. Part of the volume of the rectangular prism, 2 V 2 , is not taken up by the square pyramid. What is the relationship of these two volumes, 1 V 1 and 2 V 2 ?

Answers

Answer:

The answer is "[tex]v_1 \ and\ v_2[/tex] are equal".

Step-by-step explanation:

Its volume could be defined both by cone as well as the cylinders

[tex]\to \text{(base area)} \times \text{(solid height)} \times (\frac{1}{3})\\\\[/tex]

We are planning to write this as [tex]V = \frac{Bh}{3}[/tex]

When we relate this formula to the cylindrical and prism volume formula, we can see that when we multiply the cone volume by 3, the cylinder size where it is registered comes in. The very same goes for the pyramid as well as the inscription of the rectangular prism. That both pyramid and the cone have the same volume V, hence it would have the same volume of a cell and rectangle prism. [tex]v_1 \ and\ v_2[/tex] are so similar.

find the area of the trapezoid. helppppopop thank you

Answers

Answer:

[tex]\frac{4}{3}\:\mathrm{cm^2}[/tex]

Step-by-step explanation:

The area of a trapezoid can be found by multiplying the average of its bases and its height.

We're given:

One base of 4 cmOne base of 12 cmHeight of 1/6 cm

To find the average of a set of [tex]n[/tex] values, add all the values in the set and divide by [tex]n[/tex]. Therefore, to find the average of the two bases, we add 4 to 12 and divide by 2.

The average of the bases is therefore [tex]\frac{4+12}{2}=\frac{16}{2}=8[/tex]

Thus, the area of the trapezoid is [tex]8\cdot \frac{1}{6}=\frac{8}{6}=\boxed{\frac{4}{3}\:\mathrm{cm^2}}[/tex]

A statistics professor asked students in a class their ages. On the basis of this information, the professor states that the average age of all the students in the university is 24 years. This is an example of

Answers

Answer:

propbability ???

Step-bp explanation:

Answer:

Step-by-step explanation:

This is an example of a statistical mean.

A bag contains 6 black tiles, 5 white tiles, and 4 blue tiles. Event A is defined as drawing a white tile from the bag on the first draw, and event B is defined as drawing a black tile on the second draw. If two tiles are drawn from the bag, one after the other without replacement, what is P(A and B) expressed in simplest form? A. 4/45 B. 1/7 C. 4/15 D. 5/14

Answers

Answer:

5/14

Step-by-step explanation:

There are 15 tiles in total

5 white| 6 black | 4 blue

event A results in the subject pulling a white tile and not replacing it

5-1= 4

so the first answer should be 4/15

event B results in the subject pulling another tile, a black one and not replacing it.

6-1= 5

given this answer, there is one less tile in the total, since we removed another tile.

So our answer would be-

5/14 or D

In ΔCDE, the measure of ∠E=90°, ED = 28, CE = 45, and DC = 53. What ratio represents the tangent of ∠C?

Answers

Answer:

3/5

Step-by-step explanation:

prependicular / hypotenuse

sin C=ED/CD

=3/5

Jayce travels 30 miles per hour in her car. How many miles does she travel in 4 hours?

Answers

Answer:

Step-by-step explanation:

Answer:

hello there

here is your answer:

120 miles

Step-by-step explanation:

because every 30 mile jayce drives is by 1 hour.

jayce  travels for 4 hours so that 120 miles

also because you can mutiply 30*4=120

hope this helps have a good day bye

Help please I don’t understand

Answers

Answer:

you need to solve for 'X'

mean 49 = 55 + 42 + 32 +48 + 55 + X

49 = (232+X) / 6

49 * 6 = 232 + X

294 = 232 + X

294 - 232 = X

62 = X

so therefore X is 62

Step-by-step explanation:

please give me a brainliest

all of the following equations are equivalent except? -5 (x - 1 ), -5x + 5, 5 - 5x, (5-5) x

Answers

Except the last one (5-5)x

-6x=48-6y
-4x=50-6y
HELP PLZZZ

Answers

Answer:

[tex]x=1,\\y=9[/tex]

Step-by-step explanation:

When solving a system of equations, one of the faster methods to solve this system is the process of elimination. This process involves manipulating one of the equations (by multiplying it by a certain value), such that when one adds the two equations in the system, one of the variables cancels. One can then solve for the other variable in the system. Then backsolve for the other variable; by substituting the value of the found variable into the system, simplifying and using inverse operations to solve for the other variable.

[tex]-6x=48-6y\\\\-4x=50-6y[/tex]

Manipulate, multiply one of the equations by a certain value such that the coefficient of the like term in the other equation is the additive inverse of it.

[tex](-6x=48-6y)*(-1)\\\\-4x=50-6y[/tex]

Simplify,

[tex]6x=-48+6y\\\\-4x=50-6y[/tex]

Add the equations in the system,

[tex]6x=-48+6y\\\\-4x=50-6y[/tex]

[tex](6x)+(-4x)=(-48)+(50)+(6y)+(-6y)[/tex]

Simplify,

[tex](6x)+(-4x)=(-48)+(50)+(6y)+(-6y)[/tex]

[tex]2x=2[/tex]

Inverse operations,

[tex]2x=2[/tex]

[tex]x=1[/tex]

Backsolve to find the value of (y).

[tex]-4x=50-6y[/tex]

[tex]x=1[/tex]

Substitute,

[tex]-4(1)=50-6y[/tex]

Simplify,

[tex]-4=50-6y[/tex]

Inverse operations,

[tex]-4=50-6y[/tex]

[tex]-54=-6y[/tex]

[tex]9=y[/tex]

Five students and two teachers pose for a picture.in how many ways can they line up side by side for a picture. 2. In how many ways can they line up if they must have the teachers on both sides of the picture? 3.what is the probability that the two teachers occupy two of the three middle slots?

Answers

First, 5 students and 2 teachers is 7 different people. That means there are 7! Ways they can stand in a line. (7! Means 7x6x5x4x3x2x1)
That is 5040 ways.

Having the teachers on either side with the five students in the middle splits the question. There are 2 ways the teachers could stand (TA on left, TB on right or vice versa). There are 5! Ways to arrange the students in the middle. That is, 120. So combined, there are 2x120 ways to have them lined up with the teachers on either side. 240 ways.

Out of the 5040 ways for all of them to line up, one teacher will be in the middle 3 spaces 3/7 of the time. The second teacher will be on one of the remaining 2 central spaces 2/6 (1/3) of the time. 3/7x1/3 = 1/7. That means 1/7 or 14.29% of the time, the two teachers will occupy two of the three middle slots.

Helppppp and explain pls and thankyouuu

Answers

Answer:

x=1

y= -1

z=2

Step-by-step explanation:

x+y+z=2 and x-y-2z=6

if z=2 then

x+y+2=2 and x-y+4=6

and these become

x+y=0 and x-y=2

usign linear cancellation method we get

2x=2

dividing both sides by 2 we get

x=1

then going back to one of the original equations and plugging x=1 and z=2 we get

1+y+2=2

solving for y we get

y= -1

Someone please help, this is the last question on my assignment, and I really need to get it right! I'll mark brainliest for the best answer ^-^

Answers

Answer:

x + 2

Step-by-step explanation:

im sure its the right answe

The diagram shows a rectangle. If the perimeter of the rectangle is 66 cm, what is the area of the rectangle?​

Answers

Answer:

Step-by-step explanation:

Perimeter of the rectangle = P

Base = b

Height = h

Area = A

P = 2b + 2h

P = 66

STEP 1:

2(2x + 1) + 2(x + 5) = 66

Distribute

4x + 2 + 2x + 10 = 66

STEP 2:

Combine like terms and isolate the variable

6x + 12 = 66

6x = 54

x = 9

STEP 3:

Plug in x

A = (2(9) + 1) * (9 + 5)

STEP 4:

Simplify

A = (18 + 1) * (14)

A = (19)(14)

A = 266

[tex]\displaystyle\bf P=2(2x+1+x+5)=66\\\\6x+12=66\\\\6x=54\\\\\boxed{x=9}\\\\2x+1=19\\\\x+5=14 \\\\S=ab=14\cdot19=266 cm^2[/tex]

Traveling from City 1 to City 2, a pilot planned a southeast course along the path labeled d. Instead, a storm forced the pilot to travel 32 miles south, then 24 miles east to reach City 2. How many extra miles was the pilot forced to fly?



A. 13 mi.
B. 14 mi.
C. 16 mi.
D. 17 mi.

Answers

Answer:

C. 16 mi.

Step-by-step explanation:

This situation forms a right triangle: the distances 32 miles south and 24 miles east are the legs, and the original southeast course is the hypotenuse.

Use the pythagorean theorem, a² + b² = c² to solve for c, the length of the southeast course.

a² + b² = c²

32² + 24² = c²

1600 = c²

40 = c

So, the southeast course is 40 miles long.

Find how many miles the pilot traveled on the alternate route:

32 + 24

= 56

Find the difference in extra miles:

56 - 40

= 16

So, the pilot was forced to fly 16 extra miles.

The correct answer is C. 16 mi.

Answer:

16

Step-by-step explanation:

On Edge 2022

plz tell the answers in the correct order​

Answers

Answer:

a) 120°

Step-by-step explanation:

i think this is the right answer

the lowest common multiple of two numbers is 91 and the sum of the rwo numbers is 20, what are the two numbers

Answers

Answer:

7 and 13

Step-by-step explanation:

The multiples of 91 are

1, 7, 13, and 91

Only 7 and 13 make 20

Answer:

Explanation

7x13

7x13=91

7+13=20

The transformation from the function ƒ(x) = 3x to the function ƒ(x) = 3x + 4 indicates:

Answers

Answer:

Moving 4 to the right on the x axis

Given the original statement "If a number is negative, the additive inverse is positive," which are true? Select
three options
Olf p = a number is negative and q = the additive inverse is positive, the original statement is p - 9.
Olf p = a number is negative and q = the additive inverse is positive, the inverse of the original statement is
---
Olf p = a number is negative and q = the additive inverse is positive, the converse of the original statement is
-9 - p.
Olf q = a number is negative and p = the additive inverse is positive, the contrapositive of the original
statement is pr9
If q = a number is negative and p = the additive inverse is positive, the converse of the original statement
is 9 - P.
no

Answers

Answer:

1,2.

Step-by-step explanation:

.

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