ABC is an equilateral triangle, solve y

Answers

Answer 1

Answer:

y is 60⁰

because all sides are equal

Answer 2

Answer:

60 degrees

Step-by-step explanation:

In an equilateral triangle, the angles are equiangluar and the sides are equal.

180 degrees in a triangle/3 sides =

= 60 degrees per side


Related Questions

Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. The height (in feet) of a rocket launched from the ground is given by the function f(t) = -16t2 + 160t. Match each value of time elapsed (in seconds) after the rocket’s launch to the rocket's corresponding instantaneous velocity (in feet/second).

Answers

Answer:

The pairs are;

t,         v

2,       96

4,       32

5,       0

6,      -32

7,      -64

9,     -128

Step-by-step explanation:

The given equation is f(t) = -16·t² + 160·t

We have, the velocity, v = d(f(t))/dt = d(-16·t² + 160·t)/dt = -32·t + 160

Which gives;

t,                                 v  

0,    -32×(0) + 160 =   160

1,     -32×(1) + 160 =    128

2,    -32×(2) + 160 =    96

3,    -32×(3) + 160 =    64

4,    -32×(4) + 160 =     32

5,    -32×(5) + 160 =     0

6,    -32×(6) + 160 =   -32

7,    -32×(7) + 160 =    -64

8,    -32×(8) + 160 =    -96

9,    -32×(9) + 160 =   -128

The given velocity values are;

96, -64, 32, 0, -128, -32  which correspond to 2, 7, 4, 5, 9, 6

The pairs are;

t,         v

2,       96

4,       32

5,       0

6,      -32

7,      -64

9,     -128

Score for Question 3: of 5 points)
. What is the area of triangle BCD to the nearest tenth of a square centimeter? Use special right triangles to
help find the height. Show your work.

Answers

Answer:

[tex] \frac{25 \sqrt{3} }{2} [/tex]

Step-by-step explanation:

Height = 5 * tan 60°

[tex]height \: = 5 \sqrt{3} [/tex]

[tex]area = \frac{1}{2} \times 5 \times 5 \sqrt{3 } = \frac{25 \sqrt{3} }{2} [/tex]

My computer can download a movie in 5 hours. If I install an extra processor it can download the movie in 4 hours. How long, working alone, would it have taken the new extra processor to download the movie?

Answers

Answer:

20 hours

Step-by-step explanation:

Computer download=5 hours

Computer + Extra processor=4 hours

Computer's rate =1/5 per hour

Computer + extra processor rate=1/4 per hour

Extras processor rate=1/x

Where,

x=how long it takes extra processor to get the job done on its own.

To find x, we have to solve the equation

1/5 + 1/x = 1/4

Subtract 1/5 from both sides

1/5 + 1/x -1/5 = 1/4-1/5

1/x=1/4-1/5

1/x = 5-4/20

1/x = 1/20

Cross product

1(20)=x(1)

20=x

x=20 hours

It would have taken the new extra processor alone 20 hours to download the movie

Please help!! What is the volume of four cubes with a side length of fraction 1 over 4 foot? V = s3, where s is the side length. fraction 1 over 4 ft3 fraction 1 over 3 ft3 fraction 1 over 12 ft3 fraction 1 over 16 ft3

Answers

Answer:

1/16 is the answer!!Hope this helps. sorry for no explanation but i already did this flvs quiz and i don't remember how to f=do it

Step-by-step explanation:

help!! im stuck on this and i can't remeber how to sove this.... 6/3c = 2/3

Answers

Hello!

Answer:

[tex]\huge\boxed{c = 3}[/tex]

Given:

[tex]\frac{6}{3c} = \frac{2}{3}[/tex]

Cross multiply:

[tex]6 * 3 = 3c * 2[/tex]

Simplify:

[tex]18 = 6c[/tex]

Divide both sides by 6:

[tex]c = 18/6 = 3[/tex]

Answer:

c=3

Step-by-step explanation:

6          2

----- = -----

3c        3

Using cross products

6*3 = 2*3c

18 = 6c

Divide each side by 6

18/6 = 6c/6

3 =c

Given that ΔABC is a right triangle with a right angle at C, if tan A = [tex]\frac{5}{4}[/tex], find the value for tan B.

A. tanB = [tex]\frac{3}{4}[/tex]
B. tanB = [tex]-\frac{4}{5}[/tex]
C. tanB = [tex]\frac{4}{5}[/tex]
D. tanB = [tex]-\frac{5}{4}[/tex]

Answers

Answer:

C

Step-by-step explanation:

tan A = [tex]\frac{5}{4}[/tex] = [tex]\frac{opposite}{adjacent}[/tex] , thus

The opposite side is the adjacent side for B and the adjacent side is the opposite side for B, thus

tan B = [tex]\frac{4}{5}[/tex]

Let n be the number of five-digit positive integers which are divisible by 36 and have their tens digit and unit digit equal. Find n/100

Answers

Answer:

1.) 10044

2.) 100.44

Step-by-step explanation:

Since n is a number of five-digit positive integers which are divisible by 36, start multiplying 36 by number. Starting from 278.

Five digits numbers start from multiplying 36 by 278. Any multiplication below 278 by 36 will give four digits numbers.

36 × 278 = 10,008

36 × 279 = 10,044

10,044 tens digit and unit digit equal. Therefore n = 10044

To find n/100, divide 10044 by 100

10044 / 100 = 100.44

Christine's gross monthly salary at her job
is $5,250. She has the following
deductions from her paycheck.
What is Christine's net take-home pay per
month?

Answers

Answer:

  $2587.87 per month

Step-by-step explanation:

The listed deductions are ...

25% withheld for federal income tax9.3% withheld for California state income tax6.2% withheld for Social Security tax1.45% withheld for Medicare Tax0.9% withheld for SDI- Disability Insurance5% goes into her retirement 401K account$150 goes to health insurance/ dental for her family

The percentages have a total of ...

  25 +9.3 +6.2 +1.45 +0.9 +5 = 47.85 . . . percent

So, Christine's take-home pay is ...

  $5250(1 -0.4785) -150 = $2587.87 . . . per month

Can you please help me on add and subtract fractions level 1 9/8-11/8

Answers

Answer:

7/8

Step-by-step explanation:

1. Make 1 9/8 into an improper fraction

1 = 8/8

8/8 + 9/8 = 17/8

2. Subtract

17/8 - 11/8 = 7/8

7/8 is the correct answer

is 11-2x the same as 2x-11

Answers

No, they aren’t the same.

For example, if x equaled 3
11-2(3) = 5
2(3)-11 = -5

No they are not the same.

We can plug in x = 0 to get

11-2x = 11-2(0) = 11-0 = 11

2x-11 = 2(0)-11 = 0-11 = -11

We get the results 11 and -11 for the expressions 11-2x and 2x-11 respectively. Since we got different outputs, this is enough to show that the expressions are not the same. They would need to produce the same outputs for any given x value.

On a graph, y = 11-2x and y = 2x-11 are two different lines to show they are not the same expression.

note: if you plug in x = 11/2 = 5.5, then both outputs are the same; otherwise, you'll get different outputs.

Find the rate of change for the situation. A chef cooks 9 lbs of chicken for 36 people and 17 lbs of chicken for 68 people.

Answers

To find the rate of change, we need to divide the number of people by the number of pounds of chicken used. This is 36/9 = 4. Additionally, you could have done 68/17 = 4.

When solving (x + 35) = −7, what is the correct sequence of operations?

Answers

Answer:

x= -42

Step-by-step explanation:

put the liketerms together

x+35= -7

x=-35-7

note*the operation sign changes after crossing the equal sign

x= -42

Juan works as a tutor for $12 an hour and as a waiter for $7 an hour. This month, he worked a combined total of 110 hours at his two jobs.
Let t be the number of hours Juan worked as a tutor this month. Write an expression for the combined total dollar amount he earned this month.

Answers

Answer:

12t+7w=D

t+w=110

Step-by-step explanation:

12t= $12 made every tutor hour

7w= $7 made every waiter hour

D= total dollars made

t+w=110 is the tutor hour and the waiter hour adding together

Answer:

12t + 7y = x

      or

5t + 770 = x

Step-by-step explanation:

12t + 7y = x

t = number of hours he worked as a tutor

y = number of hours he worked as a waiter

x = the total amount of money he earned

t + y = 110

=> y = 110 - t

=> 12t + 7(110 - t) = x

=> 12t + 770 - 7t = x

=> 5t + 770 = x

The length of the shadow of a pole on level ground increases by 90m when the angle of elevation of the sun changes from 58° to 36°.Calcule the height of the pole

Answers

Answer: Approximately 119.76 meters

===================================================

Work Shown:

x = starting length of the shadow

y = height of the pole

tan(angle) = opposite/adjacent

tan(58) = y/x

1.6003345 = y/x

1.6003345x = y

x = y/1.6003345

x = (1/1.6003345)y

x = 0.62486936y

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

When the angle changes, the adjacent side gets 90 meters longer

tan(angle) = opposite/adjacent

tan(36) = y/(x+90)

0.72654253 = y/(0.62486936y+90)

0.72654253(0.62486936y+90) = y

0.453994166y + 65.3888277 = y

65.3888277 = y-0.453994166y

65.3888277 = 0.546005834y

0.546005834y = 65.3888277

y = 65.3888277/0.546005834

y = 119.758478075162

y = 119.76

The height of the pole is about 119.76 meters.

1)A cylindrical container has a diameter has diameter of 14cm and height of 20cm and is full of water. A student pours the water into another cylinder of diameter 20cm. How deep is the water in the second cylinder?

2)A cylindrical water tank is70cm in diameter. To begin with, it is full of water. A leak starts at the bottom so that it loses 10l of water every hour. How long will it take for the water level to fall by 20cm?

3) A cylindrical storage vessel is 4m in diameter and 31/2m deep. How many kilolitres will it hold?​

Answers

Answer:

Hey there!

1) To solve this, we want to know the volume of the first cylinder, which using the cylinder volume formula, we find is roughly 3079 cm^3. If the water is poured into the second cylinder, we find that the height is about 9.8 cm.

2) First, we should know that 1000 cm^3=1 liter. Volume of 1 cm tank height: 3848 cm^3, or 3.848 l. Volume for 20  cm tank height= 76.96 l. It takes about 7.7 hrs for the water level to fall 20 cm.

3) Cylinder volume formula gives us the answer to be 176 m^3 as the volume.

Hope this helps :)

Given that T{X: 2<x ≤ 9} where x is an integer. what is n(T)

Answers

Answer:

n(T) = 7

Step-by-step explanation:

Given the set T{X: 2<x ≤ 9} where x is an integer, the element of the set T will be {3, 4, 5, 6, 7, 8, 9}.  note that from the inequality set 2<x ≤ 9, x is not equal to 2 but greater than 2. The inequality can be divided into two as shown;

If 2<x ≤ 9 then 2<x and x≤9

If 2<x, this means x>2 but not equal to 2. This is the reason why 2 is not contained in the set T.

Similarly if x≤9, this shows that x can not be greater than 9 but less than or equal to 9.

Since the set T =  {3, 4, 5, 6, 7, 8, 9}, we are to find n(T). n(T) means cardinality of the set T and cardinality of a set is defined as the total number of element in a set.

Hence n()n(T) = 7 (since there are 7 elements in the set T)

The focus of a parabola is (3,-7) and the directrix is y = -4.
What is an equation of the parabola?

Answers

Answer:

  (a)  (x -3)^2 = -6(y +5.5)

Step-by-step explanation:

The equation of a parabola can be written as ...

  (x -h)^2 = 4p(y -k)

where (h, k) is the vertex, and p is the distance from the focus to the vertex.

The vertex is half-way between the focus and directrix, so is ...

  (h, k) = (1/2)((3, -7) +(3, -4)) = (3, -5.5)

The focus is at y=-7, and the vertex is at y=-5.5, so the distance between them is ...

  -7 -(-5.5) = -1.5

Then the equation for the parabola is ...

  (x -3)^2 = 4(-1.5)(y -(-5.5))

  (x -3)^2 = -6(y +5.5) . . . . matches the first choice

All the edges of a cube have the same length. Tony claims that the formula SA = 6s, where s is the length of
each side of the cube, can be used to calculate the surface area of a cube.
a. Draw the net of a cube to determine if Tony's formula is correct.
b. Why does this formula work for cubes?
Frances believes this formula can be applied to calculate the surface area of any rectangular prism. Is
she correct? Why or why not?
d. Using the dimensions of Length, Width and Height, create a formula that could be used to calculate the
surface area of any rectangular prism, and prove your formula by calculating the surface area of a
rectangular prism with dimensions L = 5m, W = 6m and H=8m.

Answers

Answer:

Here's what I get  

Step-by-step explanation:

a. Net of a cube

Fig. 1 is the net of a cube  

b. Does the formula work?

Tony's formula works if you ignore dimensions.

There are six squares in the net of a cube.

If each side has a unit length s, the total area of the cube is 6s.

c. Will the formula work for any rectangular prism?

No, because a rectangular prism has sides of three different lengths — l, w, and h — as in Fig. 2.

d. Area of a rectangular prism

A rectangular prism has six faces.

A top (T) and a bottom (b) — A = 2×l×w

A left (L) and a right (R)    —   A = 2×l×h

A front (F) and a back (B) —   A = 2×w×h

                                  Total area = 2lw + 2lh + 2wh

If l = 5 m, w = 6 m and h = 8 m,

[tex]\begin{array}{rl}A &=& \text{2$\times$ 5 m $\times$ 6 m + 2$\times$ 5 m $\times$ 8 m + 2 $\times$ 6 m $\times$ 8 m}\\&=& \text{60 m}^{2} + \text{80 m}^{2} + \text{96 m}^{2}\\&=& \textbf{236 m}^{2}\\\end{array}[/tex]

A restaurant wanted to track how much of a quart of soda customers drank at a meal. The line plot displays the data collected by the restaurant. How much more soda did the customers who drank 3/4 of a quart drink than the customers who drank 1/4 of a quart?

Answers

Answer:

C

Step-by-step explanation:

13/4 simplified---->3and 1/4

expand (x-4)^4 with binomial theorem or pascal's triangle

Answers

Answer:

(x-4)^4=x⁴+4x³(-4)¹+6x²(-4)²+4x¹(-4)³+(-4)⁴

=x⁴-16x³+96x²-256x+256

Demerol 45mg and atropine 400mcg/ml give how much per ml to total volume to inject demerol contains 50mg/ml, atropine contains 400mcg/ml how much volume to inject

Answers

Answer:

Volume injected  = 1.65 ml

Step-by-step explanation:

mass of Demerol =45 mg.

density of pre-filled in syringe = 50 mg/ml

Volume = 45/50 = 0.9 ml

For atropine mass = 0.3 mg

density= 400 mcg/ml     [ Note : 1 mcg = 0.001 mg]

volume filled  = 0.3/400(0.001) = 0.75 ml

So, the total volume filled = 0.75+0.9 = 1.65 ml

need help...!! plzzz

Answers

This is true sometimes and false sometimes, depending on the numbers.

Special right triangles

Answers

Answer: please find the attached files

Step-by-step explanation:

A unit circle formula and special triangle of 45, 30 and 60 degrees can be used to solve the problem.

Please find the attached files for the solution

A cube whose edge is 20 cm 1 point
long, has circles on each of its
faces painted black. What is the
total area of the unpainted
surface of the cube if the
circles are of the largest
possible areas?(a) 90.72 cm2 (b)
256.72 cm² (c) 330.3 cm² (d)
514.28 cm?

Answers

Answer:

Unpainted  surface area = 514.28 cm²

Step-by-step explanation:

Given:

Side of cube = 20 Cm

Radius of circle = 20 / 2 = 10 Cm

Find:

Unpainted  surface area

Computation:

Unpainted  surface area = Surface area of cube - 6(Area of circle)

Unpainted  surface area = 6a² - 6[πr²]

Unpainted  surface area = 6[a² - πr²]

Unpainted  surface area = 6[20² - π10²]

Unpainted  surface area = 6[400 - 314.285714]

Unpainted  surface area = 514.28 cm²

A dwarf planet is discovered with a radius that is 1/100 the radius of planet c. Write the diameter of the dwarf planet as power. The diameter of the dwarf planet is meter

Answers

Answer:

1^-100

Step-by-step explanation:

in the negative powers the negative sign stands for the fraction line symbol and the power stands for the bottom number.

To determine the relative effectiveness of different study strategies for the SAT, suppose three groups of students are randomly selected: One group took the SAT without any prior studying; the second group took the SAT after studying on their own from a common study booklet available in the bookstore; and the third group took the SAT after completing a paid summer study session from a private test-prep company. The means and standard deviations of the resulting SAT scores from this hypothetical study are summarized below:
Using the following output:
we can conclude that:
(a) the data provide strong evidence that SAT scores are related to learning strategy.
(b) the data provide strong evidence that SAT scores are related to learning strategy in the following way: The mean SAT score for students who pay for coaching is higher than the mean SAT score for students who study themselves, which in turn is higher than that of students who do not study for the test.
(c) the data provide strong evidence that the three mean SAT scores (representing the three learning strategies) are not all equal.
(d) the data do not provide sufficient evidence that SAT scores are related to learning strategy.
(e) Both (a) and (c) are correct.

Answers

Answer:

(b) the data provide strong evidence that SAT scores are related to learning strategy in the following way: The mean SAT score for students who pay for coaching is higher than mean SAT score for students who study themselves, which in turn is higher than those students who do not study for test.

(c) The data provide strong evidence that the three mean SAT scores (representing the three learning strategies) are not all equal.

Step-by-step explanation:

Relative effectiveness is to study the extent to which an intervention of a thing does more good than harming it when two or more alternative interventions are observed. In the given question the SAT mean score for students who are paying higher for coaching than those student who believe in self study.

meagan worked 24 hours and earned $84 what is her rate pay

Answers

Answer: 3.50 Per hour

Step-by-step explanation:

Divide 84 by 24

Answer:
$3.50 per hour

The probability that it rains is about 20%.
The probability that the bus is late is about 8%.
The probability that it rains and the bus is late is about 3%.
The probability that the train is late is about 5%.
The probability that it rains and the train is late is about 1%.

6. To decide whether the rain and the train running late are dependent or independent events, first define the two events and then write their probabilities as decimals. (3 points) Let event A = ________________________. P(A) = ______. Let event B = ________________________. P(B) = ______. A and B = ________________________. P(A and B) = ______. 7. Use the probabilities from question 6 to decide whether the rain and the train running late are independent or dependent events. (2 points: 1 point for the correct math, 1 point for the conclusion)

Answers

Answer:

Step-by-step explanation:

Let A= probability it rains

P(A)=0.2

Let B be the probability that the train is late = 0.05

P(B)=0.05

A and B  is A∩B= the probability it rains and the bus is late =0.01

probability pf (A and B)=0.01

7) independent events are related by expression:

A∩B=P(A)*P(B)

       =0.2*0.05=0.01  

check :

p(A|B)=P(A∩B)÷P(B)=0.01/0.05= 0.2

the two event are independent

Answer:

The two are independent.

Step-by-step explanation:

What is the probability of rolling a number greater than 6 on a number cube

Answers

Answer:

0

Step-by-step explanation:

It is not possible to roll a number greater than 6 on a number cube

Answer: 0

A probability of 0 means "impossible". This is because a standard number cube (aka a die) has sides labeled 1 through 6. There is no way to roll something larger than 6 on a single die.

A ladder (line segment AC in the diagram) is leaning against a wall. The distance between the foot of the ladder and the wall (BC) is 7 meters less than the distance between the top of the ladder and the ground (AB). A-Create an equation that models the length of the ladder (l) in terms of x, which is the length in meters of AB. B-If the length of the ladder is 13 meters, use the equation you wrote to find the distance between the ground and the top of the ladder (AB).

Answers

Greetings from Brasil...

a)

Let's just use Pythagoras

L² = X² + (X - 7)²

L = √(2X² - 14X + 49)

b)

If L = 13, then what is the value of X ???

L² = 2X² - 14X + 49

2X² - 14X - 120 = 0

X = 12  or  X = - 5

(The distance cannot be negative, so X = 12)

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