A student five and a half feet tall stands opposite of a mirror from a flagpole. The distance between the student and the mirror is 6 feet and the distance from the mirror to the flagpole is 14 feet. What is the height of the flagpole?​

Answer:

3, 4

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

total number of outcomes is 6 (1,2,3,4,5, or 6) so sample space is 6

Answers:

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Explanations:

Part (a)

The area of a triangle formula is A = 0.5*b*h where b and h are the base and height. You could use 1/2 in place of the 0.5

We're focused on the blue shaded triangle, which is the "floor" so to speak of this pyramid. To find the floor area, we will use b = 6 and h = 5.2 and we get

A = 0.5*b*h = 0.5*6*5.2 = 15.6

For this problem, all areas are in square inches as denoted by the [tex]\text{in}^2[/tex]

If you're curious where the b = 6 came from, it's because all sides of the equilateral triangle are the same length.

Note: The base and height of a triangle are always perpendicular.

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Part (b)

Focus on any single non-shaded triangle. Let's say we focus on the upper triangle. We have b = 6 and h = 4. It then leads to the area A = 12 sq in. This is the area of one lateral face.

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Part (c)

The instructions state that the lateral faces are congruent triangles, aka they are identical triangles. So that means we have three copies of the same area we found back in part (b), which was 12. Therefore, the lateral surface area is 3*12 = 36 square inches. As your teacher mentions, we do not include the shaded triangle as part of this result (that will happen in part d below).

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Part (d)

We add the results of parts (a) and (c) together to get the full surface area. This is the total area of the flat net, and it corresponds directly to the full surface area because we fold up the 2D figure to get the 3D one.

The total surface area is 15.6+36 = 51.6 in^2

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Side note: Another name for "triangular pyramid" is "tetrahedron". The "tetra" means "four", and "hedron" means "face".

Answer:

51.6

Step-by-step explanation:

Answer:

5r - 2

(20r - 8) ÷ 4

= (20r : 4) - (8 : 4)

= 5r - 2

Answer:

144 and 36

Step-by-step explanation:

I found the same question on brainly the explanation is on there!

https://brainly.com/question/15640770#:~:text=Answer%3A,Step%2Dby%2Dstep%20explanation%3A&text=To%20find%20the%20other%20angle%2C%20simply%20subtract%20144%20from%20180.

Answer:

Thus, the ratio of the central angles is 4 : 9.

Step-by-step explanation:

Area, A = 12 π square units

radius, R = 6 units

radius, r = 4 units

Area of sector is given by

[tex]A=\frac{\theta }{360}\times \pi r^{2}[/tex]

For first sector

[tex]12\pi=\frac{\theta }{360}\times \pi \times 6^{2}\\\\\theta = 120^{o}[/tex]

For second sector

[tex]12\pi=\frac{\theta' }{360}\times \pi \times 4^{2}\\\\\theta' = 270^{o}[/tex]

So, the ratio is

[tex]\frac{\theta}{\theta'}=\frac{120}{270} =4 : 9[/tex]

Answer:

4 : 9

Step-by-step explanation:

Given:

Two sectors, each has an area of 12pi, but with radii r1=6 and r2=4 units.

Find ratio of central angles.

Solution:

Let A = central angle

Area of a sector = pi r^2 (A/360)

Since both sectors have the same area,

pi r1^2 (A1/360) = pi r2^2 (A2/360)

simplifying

A1 r1^2 = A2 r2^2

Therefore

A1 : A2  = r2^2 : r1^2 = 4^2 : 6^2 = 4 : 9

for question 1

Area of Base B =45×25 = 1125 cm²

perimeter of base P = 2(45+25) = 140 cm

Height = 15 cm

Using the formula

Surface area = 2B + Ph

A = 2×1125 + 140×15= 4350 cm²

Voume = Bh = 1125×15= 16875 cm³

For question 2,

Area of base = 7× 5/2= 17.5 cm²

Perimeter of base = (7+7+7) = 21 cm

Surface area = 2B + Ph

Surface area of prism = 2×17.5+ 21×10 = 245cm²

Volume = Bh = 17.5×10 = 175 cm³

Answer:

Step-by-step explanation:

for question 1

Area of Base B =45×25 = 1125 cm²

perimeter of base P = 2(45+25) = 140 cm

Height = 15 cm

Using the formula

Surface area = 2B + Ph

A = 2×1125 + 140×15= 4350 cm²

Voume = Bh = 1125×15= 16875 cm³

For question 2,

Area of base = 7× 5/2= 17.5 cm²

Perimeter of base = (7+7+7) = 21 cm

Surface area = 2B + Ph

Surface area of prism = 2×17.5+ 21×10 = 245cm²

Volume = Bh = 17.5×10 = 175 cm³

Answer:

choice A

Step-by-step explanation:

Answer: $550.00

Step-by-step explanation: Equation: I = Prt

Calculation:

First, converting R percent to r a decimal

r = R/100 = 2%/100 = 0.02 per year,

then, solving our equation

I = 5500 × 0.02 × 5 = 550

I = $ 550.00

The simple interest accumulated

on a principal of $ 5,500.00

at a rate of 2% per year

for 5 years is $ 550.00.

Hope this helped! ;)

Answer: Answer is in the attachment xoxo

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Answer:

18 Caramel Centers

Step-by-step explanation:

Solution

So first off, we can group 2 and 3 toghether to make one "packet" with 5 candies in it. Now, we can divide 5 by 30 and get 6. Now we know how many packets/candies there are. After that, we can multiply 6 with 3 to get 18 caramel centers.

Verification:

2 x 6 = 12

3 x 6 = 18

12 + 18 = 30 ✅

Answer:

N = 30

Step-by-step explanation:

3: 10 = 3/10 = 0.3

0.3 * 100 = 30 = N

Answer: 30/100

Step-by-step explanation: 3:10=3/10. N/100 Divided by 10 is N/10; multiply 3/10 by 10.

Answer:

Hello, Im Mack, | Hope your doing well :)

Here is the Answer Ive got for you:

Step-by-step explanation:

Here is the Table filled out with the correct Values:

Speed Equation: (Velocity=distance/time)

Distance: Distance traveled: Time traveled: Speed:

0-2 2 Meters 20 Secs 10secs/m

4-6 6 Meters 30 Secs 5secs/m

8-10 10 Meters 50 Secs 5secs/m

Comment if you need further help, and I will rely asap,

Hope I helped you out :)

Have a great day my friend and best of luck to your studies :)

Answer:

[-8,8]

Step-by-step explanation:

Answer:

The answer is three

Step-by-step explanation:

$11.50/10 = $1.15 per pound

$19.50/15 = $1.30 per pound

$1.15 * 20= $23

$1.30 * 20 =$26

$26- $23 = $3

answer: $3

Answer: You would spend $3 less at store A with 23 and Store B with 26

Step-by-step explanation: Store B: 15 pounds / 19.50 = $1.3*20 =$26

Store A: 10pounds =11.50*2=$23

Hope this helped!

Answer:

It is 65 in.

Step-by-step explanation:

62 is the median, and 66 is the mode. 65 is right between 62 and 66.

Answer:

a) Thomas is 36 years old ( 3x12= 36 )

b) Alexis is 31 years old ( 36-5=31 )

c) 19 years older ( 31-12=19 )

Answer:

Step-by-step explanation:

hope it's helpful

Answer:

∠Y is the smallest angle measure.

The correct answer is B

Answer: 19 1/2

Step-by-step explanation:

Answer:

Hope this helps you

The diameter is 1 unit

Step-by-step explanation:

The circumference is 3.14 units

C = pi * d

Using 3.14 for pi

3.14 = 3.14 d

Divide each side by 3.14

3.14/3.14 = 3.14 d/ 3.14

1 =d

Answer:

the answer would be-

Step-by-step explanation:

The probability that a person who walks by Tanisha has a pet- 0.8

The probability that a person who walks by Tanisha does not have a pet- 0.2

Probability is a mathematical term, which can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

Probability of Event = Favorable Outcomes/Total Outcomes = X/n

Part A. The probability that a person who walks by Tanisha has a pet can be calculated by dividing the number of people who have a pet by the total number of people who walk by her. In this case, 16 out of 20 people have a pet, so the probability is:

P(having a pet) = 16/20 = 4/5 = 0.8

So, the probability that a person who walks by Tanisha has a pet is 0.8 or 80%.

Part B. The probability that a person who walks by Tanisha does not have a pet can be calculated by subtracting the probability of having a pet from 1. That is:

P(not having a pet) = 1 - P(having a pet)

P(not having a pet) = 1 - 0.8

P(not having a pet) = 0.2

So, the probability that a person who walks by Tanisha does not have a pet is 0.2 or 20%.

To know more about Probability check:

https://brainly.com/question/30034780

#SPJ

Answer:

21

Step-by-step explanation:

9/10/21

Answer:

don't know

Step-by-step explanation:

ok please mark mr brainlist

Answer:

3%

Step-by-step explanation:

Interest rat is calculated by using the equation A = P(1 + r)^n

A is the amount after interest. Here, it is 1635.30

P is the principal, or base, amount. Here, it is 1422

r is the rate at which there is interest. It is what we need to find out.

n is the amount of years interest is calculated for. Here, it is 5

Now that we have everything, we calculate:

1635.30 = 1422(1 + r)^5

Now we have to get r on one side of the equation by itself:

Divide both sides by 1422:

1635.30/1422 = (1 + r)^5

5√(1655.30/1422) = 1 + r

5√(1.16406469) - 1 = r

Now r is on one side of the equation.

The 5th root of 1.16406469 is 1.03084987

1.03084987 - 1 = 0.0308, so it is 3%

The 5√ is the 5th root of the numbers

Or it's 2.835 percent I don't know

Answer:

g is 33.4 degrees because vertical angles are congruent.

Step-by-step explanation:

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

[tex]g = 33.4°[/tex]

➟ g = 33.4° because its vertically opposite angle is 33.4°. Vertically opposite angles (V.O.A.) are equal to each other.

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