For a project in her Geometry class, Naomi uses a mirror on the ground to measure
the height of her school building. She walks a distance of 12.25 meters from the
school, then places a mirror on flat on the ground, marked with an X at the center.
She then steps 1.7 meters to the other side of the mirror, until she can see the top of
the school clearly marked in the X. Her partner measures the distance from her eyes
to the ground to be 1.15 meters. How tall is the school? Round your answer to the
nearest hundredth of a meter.

Answers

Answer 1

Answer:

8.28

Step-by-step explanation:

we can express this question as

12.25/1.7=x/1.15

this can be simplified to

x=8.28

Answer 2

The height of Naomi's school building is 8.29 meters

Concept of similar triangles:

Two triangles are similar if their corresponding angles are equal and their corresponding sides are within the same ratio (or proportion). Similar triangles will have the same shape, but not necessarily the same size.

In the given question and attached figure we have,

BC = 12.25 metersCD = 1.7 metersDE = 1.15 meters

Now we have to find the height(AB) of the building,

By the properties of similar triangles, we can write,

AB / BC = DE / CD

Putting all the values we get,

AB / 12.25 = 1.15 / 1.7

Simplifying we get,

AB = (1.15 / 1.7) × 12.25

By further simplifying,

AB = 8.29 meters

Therefore, the height of Naomi's school building is 8.29 meters.

know more about similar triangles click here - brainly.com/question/27243378

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For A Project In Her Geometry Class, Naomi Uses A Mirror On The Ground To Measurethe Height Of Her School

Related Questions

please help me? it is school related i promise

Answers

Answer:

$96.25

Step-by-step explanation:

In the morning, this worker was in for a total of 4 hours. Since the wage is $11/hr, we have to multiply 4 by 11.

11 * 4 = 44

In the afternoon, they worked for 4 hours and 45 minutes. Now, we have to multiply 4 3/4 (which is the fraction form of 4 hours and 45 mins) by 11.

11 * 4 3/4 = 52.25

Now, to find the total pay, we add together both the morning and afternoon pays.

44 + 52.25 = 96.25

Therefore, the total pay is $96.25

I hope this helps!! Have a lovely day!! :)

Answer:

$96.25

Step-by-step explanation:

Hours worked in the morning = 12:00 - 8:00

                                                  = 4 hours

Hours worked in the afternoon = 17:30 - 12:45

                                                    = 4 hours 45 minutes

Total hours worked = 4:00 + 4:45

                                = 8 hours 45 minutes

                                 [tex]=8\dfrac{45}{60} \ hours\\\\= 8\dfrac{3}{4}\\\\\\= \dfrac{35}{4} hours[/tex]

Wage = [tex]\dfrac{35}{4}*11[/tex]

         = $96.25

When you do this please show the work

Answers

Answer:

2) [tex]\displaystyle -9a^3b^5[/tex]

1) [tex]\displaystyle \frac{x^8}{3}[/tex]

Step-by-step explanation:

2) [tex]\displaystyle \frac{(27a^3b^3)(-2ab^4)}{6ab^2} \Rightarrow \frac{(3ab)^3(-2ab^4)}{6ab^2} \\ \\ \boxed{-9a^3b^5} \rightarrow \frac{-54a^4b^7}{6ab^2}[/tex]

1) [tex]\displaystyle \frac{16x^{10}y^2}{48x^2y^2} \Rightarrow \frac{(-4x^5y)^2}{48x^2y^2} \\ \\ \boxed{\frac{x^8}{3}}[/tex]

The Quotient-to-Power Rule states that whenever you are dividng like-terms, you keep the coefficients and deduct the exponents.

I am joyous to assist you at any time.

Help me please. Don't mind that I answered it, I put whatever so that I can move on to the next page. Show how you did the work!

Answers

Answer:

true false false

Step-by-step explanation:

3,4,5 is a common triangle (proof sqrt(3^2+4^2) = 5)

5,6,7 cant exist sqrt(5^2+6^2) doesnt equal 7

5,5,10 cant exist sqrt(5^2+5^2) doesnt equal 10

The height of a triangle is six times the base. Write an expression for the area of the triangle and let x be the base.

Answers

Answer:

If

Hight = 6×base

And

Base = X

Then

Hight = 6 × X

Which is equivalent to

Hight = 6X

If
Hight=6×base
And
Base = X
Then
Hight = 6 × X
Which is equivalent to
Hight = 6X

find the sum of first 40 terms of 11+14+17+...​

Answers

Answer:

S₄₀ = 2780

Step-by-step explanation:

there is a common difference between consecutive terms in the sequence, that is

14 - 11 = 17 - 14 = 3

this indicates the sequence is arithmetic with sum to n terms

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

here a₁ = 11 and d = 3 , then

S₄₀ = [tex]\frac{40}{2}[/tex] [ (2 × 11) + (39 × 3) ]

      = 20( 22 + 117)

      = 20 × 139

      = 2780

What is the measure of x? Please help asap!

Answers

[tex]4x + x = 180[/tex]

[tex]5x = 180[/tex]

[tex]x = \frac{180}{5} = 36[/tex]

Answer:

36

Step-by-step explanation:

This is a Linear Pair. Adjacent (next to) angles that form a straight line. A good rule of thumb for 90% of Geometry, angle relationships are usually either supplementary or congruent. In this case, since they together form a straight line, they are supplementary.

x + 4x = 180

5x = 180

180/5 = 36

If you plug these numbers in, you have a 36 degree angle and a 144 degree angle (sum of 180). Easy way to check your work if ever unsure.

There are 63 female performers in a dance recital. the ratio of men to women is 5:9. how many men are in the dance recital?

Answers

In d ratio 5:9 which equals 5+9=14
the total female performers is 63
For men = 5/14*63=5/2*9
=45/2 =22.5
The men would be about 22.5 in the dance recital

In the 2004 Summer Olympics, the U.S. won 11 more medals than Russia. Together they won 195 medals. How many medals did the U.S. win?

Answers

Answer:

The U.S. won 101 medals.

Step-by-step explanation:

101

Hope it helped and have a great day!

A card is drawn from the cards numbered from 8 to 27, find the probability that drawn card is divisible by 6 or 7 without remainder.​

Answers

Answer:

1/4

Step-by-step explanation:

from 8 to 27, there are 5 number that are divisible by 6 or 7.

=>       12,14,18,21,24

=>       number of favourable outcomes = 5

=>       numer of possible outcomes = 20

probability = no. of favourable outcomes/ no. of possible outcomes

=>       probability = 5/20

=>       5/20 = 1/4

Find the surface area and volume of the figure.


(Round to the nearest teeth as needed)


Answers

Answer:

Volume;

Let's find the volume of the hemisphere above,

Formula for hemisphere volume:

V = 2/3πr

Where pi(π) is 22/7 or 3.14, and 'r' is the radius.

(extra info:) D/2 = radius

So, diameter in this case is 6,

6/2 = 3 is the radius.

Replace values:-

V = 2/3πr

V = 2/3 x 3.14(3)

V = 2/3 x 9.42

V = 18.84/3

V = 6.28 feet is the volume for the hemisphere.

Now the cylinder's volume,

Cylinder volume formula:

V = π[tex]r^{2}[/tex]h

Where pi(π) is 22/7 or 3.14, 'r' is the radius which is being squared, and 'h' is the height.

Replace values (we figured out radius is 3);

V = π[tex]r^{2}[/tex]h

V = 3.14(3^2) x 10

V = 3.14(9) x 10

V = 28.26 x 10

V = 282.6 feet is the volume of the cylinder.

Add our volumes:-

6.28 + 282.6

= 288.88 feet is our volume.

Surface area;

Now the surface area formula of the cylinder is:

SA = 2πrh(lateral area) + 2π[tex]r^{2}[/tex](area of circle)

Replace values:

SA = 2πrh + 2π[tex]r^{2}[/tex]

SA = 2(3.14) x 10 + 2(3.14) x 3^2

SA = 6.28 x 10 + 6.28 x 9

SA = 62.8 + 56.52
SA = 119.32 is the surface area of the cylinder.

Now the surface area formula of the hemisphere;

SA = 3πr²

Replace values;

SA = 3πr²

SA = 3(3.14) x 3^2

SA = 9.42 x 9

SA = 84.78 is the surface area of the hemisphere.

Add the areas;

119.32 + 84.78

= 204.1 feet is the surface area.

1. Three friends are at a restaurant for dinner. They decide to split the $90. 00 check equally among the three of them. A. If they decide to leave a 20% tip, what will the total bill be?

b. What will each person pay if the total bill including tip is divided by three?

Answers

Answer:

1A.)The tip would be $18, thus meaning the total will shoot up to 108$.

1B.) Divide 3 by 18, and you get $6 per person.

Step-by-step explanation:

Hope this helps!~

The total bill with the tip will be $108.00. Considering this value each person will pay $36.00

Percentage

The percentage is the given definition for a fraction whose denominator is equal to 100. It is represented by %. See the example: [tex]\frac{20}{100}=\frac{1}{5}=0.2*100=20\%[/tex]

The question gives:

3 friendstotal bill without the tip - $90.0020% tip

Letter A

For solving this item you should sum the value of the total bill without the tip with the value equivalent to a 20% tip.

Tip=[tex]\frac{20*90}{100} =\frac{1800}{100}=18[/tex]

Total bill= 18+90=108

Letter B

For solving this item you should divide the value of the total bill with the tip by 3 (friends).

Individual Payment= 108/3 = 36

Read more about the percentage here:

brainly.com/question/24304697

Please help I will give brainliest.

Answers

Answer:

See below

Step-by-step explanation:

1. Two numbers that multiply to 17 and add to 18.

17 x 1 = 1717 + 1 = 181 and 17

2. Two numbers that multiply to 36 and add to -20.

-18 x -2 = 36-18 + -2 = -20-18 and -2

Which counterexample shows that the conjecture "Every parallelogram is also a rectangle" is false?

A. A square is both a rhombus and a parallelogram.
B. A pentagon has five sides but is not a parallelogram.
C. A rectangle is a parallelogram.
D. A rhombus is a parallelogram but is not a rectangle.

Answers

Answer:

D

Step-by-step explanation:

A doesn't work because a square is not a rhombus

B is out of context

C is true

D makes the most sense to the original question

Please help I was able to do the hard part but I don’t know how to crack the code

Answers

Step-by-step explanation:

what do you mean by "the hard part" ?

anyway,

we need to sum the numbers in every column creating 5 sums.

then we need to multiply these 5 numbers (product) and divide the result by 16 (we need 1/16 of that product).

so, we have

5 + 1 = 6

1 + 6 + 4 + 8 = 19

2 + 1 + 3 = 6

2 + 5 = 7

1 + 0 + 7 = 8

6×19×6×7×8 = 38,304

38,304 / 16 = 2394

that is your code : 2394

Suppose $500 is divided into two bank accounts. One account pays 15% simple interest per year and the other pays 10%. After three years there is a total of $200 in interest between the two accounts. How much was invested into the bank account that pays 15% simple interest (rounded to the nearest cent)? ​

Answers

Answer:

x = amount invested in the 15% account

x*.15*3 + (500-x)*.1*3 = 200

x = 333.33

so, 500-333.33 = 166.67 at 10%

Step-by-step explanation:

Answer:

x = amount invested in the 15% account

x*.15*3 + (500-x)*.1*3 = 200

x = 333.33

so, 500-333.33 = 166.67 at 10%

Step-by-step explanation:

sorry if i did it wrong

PLEASE HELPP QUICK!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

See below.

Step-by-step explanation:

Vertical angles can be found by adding the two degrees, and if they equal 180, they are vertical.

94 and 86

119 and 61

-hope it helps

Bonjour !
Please solve My maths problem.
If X = 2y +6, then find the value of x³ - 8y³ - 36xy -216.
Hint - answer is 0
Kindly Show steps
I desperately need help with this question.
Correct person will be appreciated and brainlist will be awarded
Irellevant answer won't be tolerated and will be reported immediately.
Thank you in. advance !

Answers

y = 1

Step-by-step explanation:

X = 2y + 6

X³ - 8y³ - 36xy - 216 = 0

(subsitute)

(2y + 6)³ - 8y³ - 36(2y + 6)y -216 = 0

(concentrate on first part)

(2y + 6)(2y + 6)(2y + 6)

(4y² + 12y + 12y + 36)(2y + 6)

(4y² + 24y + 36)(2y + 6)

8y³ + 24y² + 48y² + 144y + 72y + 216

(back to full equation)

8y³ + 72y² + 216y + 216 - 8y³ - 36(2y + 6)y - 216 = 0

(factor the last part)

-36(2y + 6)y

y(-72y - 216)

-72y² - 216y

(back to main equation)

8y³ + 72y² + 216y + 216 - 8y³ - 72y² - 216y - 216 = 0

(start to cancel out)

8y³ and -8y³ cancel

72y² + 216y + 216 - 72y² - 216y - 216 = 0

72y² and -72y² cancel

216y + 216 - 216y - 216 = 0

216y and -216y cancel

216 - 216 = 0

those cancel

0y = 0

add 1 to both sides

y = 1.

(I hope this helped)

Marcelle and Amia each buy two “Treat Dispenser” shirts from Ava’s website for $22 each. They live in South Dakota, where the sales tax is 6.4%. Marcelle calculates his total bill by finding the sales tax for each individual shirt, multiplying by 2, and then adding it to the retail price of both shirts. Amia calculates her bill by adding up the total cost of both shirts, finding the sales tax of the sum, and then adding it to the retail price of both shirts. Whose method is correct, and what was the total bill for each of their orders?

Answers

Answer: Amia is correct

Step-by-step explanation:

the total bill would be $46.82

Find the area of the figure below. Use 3.14 to approximate .
Round your answer to the nearest tenth.

Answers

Answer:

145.1 m^2

Step-by-step explanation:

(8x15)+(3.14x8)

120+25.12

145.12

round

145.1

simplify 1/2+3/4-2/7×(1/3+2)​

Answers

Answer:

the answer is 7/12..

thank u

Hello people ~
Factorise: x^2 + 7x + 12​

Answers

Step-by-step explanation:

x^2 + (4+3)X + 12

x^2 + 4x + 3X + 12

X (X + 4) + 3 ( X + 4)

( X + 3) (X +4)

Solving steps:

[tex]\sf \rightarrow x^2\:+\:7x\:+\:12[/tex]

breakdown the following

[tex]\sf \rightarrow x^2\:+\:3x + 4x\:+\:12[/tex]

break the expressions into groups

[tex]\sf \rightarrow \left(x^2+3x\right)+\left(4x+12\right)[/tex]

factor the following

[tex]\rightarrow \sf x\left(x+3\right)+4\left(x+3\right)[/tex]

factor the common term: (x+3)

[tex]\rightarrow \sf \left(x+3\right)\left(x+4\right)[/tex]

HELP ME PLEASE! 20 POINTS!!!


In terms of π, what is the volume of the sphere? Refer to your STAAR 8th Grade Math Reference Sheet for the appropriate formula.
Question 6 options:

360π cubic feet


1800π cubic feet


27000π cubic feet


36000π cubic feet

Answers

Answer:

is in the shape of a sphere

diameter = 60 feet

radius = r = 60/2 = 30 feet

Step-by-step explanation:

volume of sphere = 4/3 × π × r³

= 4/3 × π × 30³

=4/3π × 27,000

= 36000π cubic feet

Answer:

36000π cubic feet

Step-by-step explanation:

Given :

Diameter of sphere = 60 feet

Solving :

Volume = 4/3πr³But 2r = d or r = d/2Therefore, volume is :⇒ 4/3π(d/2)³⇒ 4/24πd³⇒ 1/6πd³⇒ 1/6 x 60 x 60 x 60 x π⇒ 10 x 3600π⇒ 36000π cubic feet

if a new baseball is labeled $36 what would the new price be if the sign above said 41% off

Answers

Answer:

$24.24

Step-by-step explanation:

0.41 x 36 = 14.76
36 - 14.76 =21.24
Hope this helps :)

Find the area of each figure.

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Area of a Parallelogram is ~

[tex]\qquad \sf  \dashrightarrow \:base \times height[/tex]

[tex]\qquad \sf  \dashrightarrow \:7 \times 5[/tex]

[tex]\qquad \sf  \dashrightarrow \:35 \: {cm}^{2} [/tex]

solve this system of equations using substitution, show your work (ANSWER QUICK PLEASE)

Answers

Answer:

[tex]\boxed{\sf{y=-5 \quad x=-18}}[/tex]

Step-by-step explanation:

The terms x and y must be substituted to isolate one side of the equation.

y=5/6x+10 and -x+6y=-12

First, you have to substitute by the y=5/6x+10.

[tex]\sf{-x+6\left(\dfrac{5}{6}x+10\right)=-12}[/tex]

Solve.

[tex]\sf{4x+60=-12}[/tex]

Subtract by 60 from both sides.

4x+60-60=-12-60

Solve.

4x=-72

Divide by 4 from both sides.

4x/4=-72/4

Solve.

Divide the numbers from left to right.

-72/4=-18

x=-18

Substitute: x=-18

[tex]\sf{y=\dfrac{5}{6}\left(-18\right)+10}[/tex]

Solve.

y=5/6(-18)+10=-5

y=-5

Therefore, the solution is y=-5 and x=-18, which is our answer.

I hope this helps you! Let me know if my answer is wrong or not.

simplify the expressions by applying the properties of potentiation...​

Answers

Answer:

[tex] \dfrac{x^5}{y^{10}} [/tex]

Step-by-step explanation:

[tex] \dfrac{x^2y^{-6}}{x^{-3}y^4} = [/tex]

[tex] = x^{2 - (-3)}y^{-6 - 4} [/tex]

[tex] = x^5y^{-10} [/tex]

[tex] = \dfrac{x^5}{y^{10}} [/tex]

A triangle, ABC, has coordinates A (-2, 0), B (-2, 5) and C (-4, 0). What is the length of the shortest side?

Answers

Answer: 2 units.

Step-by-step explanation: When you graph the points given, it gives you this shape in the image below.  The hypotenuse (longest side of triangle) is found by doing the following:

a^2 + b^2 = c^2, where a and b are the legs (the other sides of the triangle) and c is the hypotenuse.

5^2 + 2^2 = 29.

√ 29 ≈ 5.38, and that is the length of the hypotenuse.

The shortest side is the bottom side, which is 2 units.  Therefore, that is your answer.

Let me know if this is right! :)

help help i need it can you?

Answers

The answer is C. $27.00

Find the missing dimension. Use the scale 1 : 15.

Actual Figure skater Height: 67. 5 in. ​

Answers

Answer:

4.5 inches

Step-by-step explanation:

1/15 of 67.5

This is if you are looking for the proportional height. That's all I can solve with given this info.

help me please i so need help

Answers

Answer:

9

It is 9 because 9 is the only number that multiplied by itself is 81.

9, these are all referring to the square root of a number that is a perfect square. 2 x 2 = 4, 3 x 3 = 9, 4 x 4 = 16, 9 x 9 = 81.
Other Questions
Lita must find the area of the sector enclosed by central angle QCR in circle C.Points Q and R lie on circle C. The measure of angle Q C R is 74 degrees and the radius of circle C is 1 foot.What steps should Lita take to correctly solve this problem?A: Lita knows that mQCR=74 and that the whole circle has a measure of 360, so the portion of the area she wants to find is 74360. Therefore, she must multiply 74360 times the area, which is r2.Lita knows that mQCR=74 and that the whole circle has a measure of 360 degrees textsf comma so the portion of the area she wants to find is 74360. Therefore, she must multiply 74360 times the area, which is r2.B: Lita knows that mQCR=74 and that the whole circle has a measure of 360, so the portion of the area she wants to find is 74360, so she must multiply 74360 times the area, which is 2r.Lita knows that mQCR=74 and that the whole circle has a measure of 360 degrees textsf comma so the portion of the area she wants to find is 74360, so she must multiply 74360 times the area, which is 2r.C: Lita knows that mQCR=74 and that the whole circle has a measure of 360, so she should subtract 74 from 360. The portion of the area she wants to find is 286360, so she must multiply 286360 times the area, which is 2r.Lita knows that mQCR=74 and that the whole circle has a measure of 360 degrees textsf comma so she should subtract 74 degrees from The portion of the area she wants to find is 286360, so she must multiply 286360 times the area, which is 2r.D: Lita knows that mQCR=74 and that the whole circle has a measure of 360, so she should subtract 74 from 360. The portion of the area she wants to find is 286360, so she must multiply 286360 times the area, which is r2. In two or more complete sentences, compare the number of x-intercepts in the graph of f(x)=x2 to the number of x-intercepts in the graph of g(x)= (x+2)2 -7 N the knowledge economy, if a large portion of company value is in intellectual and human assets, the difference between the market value and book value of the company should ________ a company with mostly physical and financial assets. pls help ill give brainliest and 5 stars Which graph matches? I'll give brainliest. and 100pts HELP, define genetic engineering and Describe how DNA is modified for use in genetic engineering. How has the global warming affected the ecosystem A client's primary care provider has prescribed an oral glucose tolerance test (GTT) as a screening measure for diabetes. Which instruction should the client be given UHHH HELP I STUCK IN THIS ONE Explain why development is difficult in desert regions In the following acid-base reaction,HPO42- is theH2PO4- (aq) + NH3(aq) HPO42- (aq) + NH4+(aq)Bacidconjugateacidconjugatebase Fun Question: Does pineapple belong on pizza? What is the area in polynomial form Which part of a supreme court decision presents the argument A square pyramid has a base with a side length of 7.5 feet and lateral faces with heights of 16 feet. Write an expression that can be used to find the surface area, in square feet, of the square pyramid.Please provide an expression, not just the surface area please :) What is not a part of the digestive systemA. Large intestineB. Small intestineC.TracheaD. Esophagus Sammys dad drove their car 150 miles in three hours. At this rate, how far would he drive in nine hours? What is the solution of this? How do you multiplying or dividing a fractions to obtain equivalent On Saturday, the temperature was75.5F. The temperature rose by6F on Sunday, then dropped by3.5F on Monday. Write an expressionto represent how the temperaturechanged. What was the temperatureon Monday?