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.

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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

Jean wants to put furniture in her clubhouse. She drew a floor plan of the clubhouse, as shown. Each grid unit represents one foot.
PLEASE HELP ME

Answers

Answer:

hexagon24 ft of baseboard

Step-by-step explanation:

1.

You have correctly counted the 6 sides of the figure. A 6-sided polygon is a hexagon.

__

2.

The length of baseboard needed is the length of the perimeter of the figure. That length is the sum of the side lengths. Starting from the lower left corner and working clockwise, the side lengths are ...

  1 ft + 5 ft + 2 ft + 1 ft + 5 ft + 10 ft = 24 ft

24 feet of baseboard are needed.

__

Additional comment

The area of the figure can be found several ways. One of them is to subtract the corner cutout area from the overall rectangle area. The overall rectangle is 10 ft wide and 4 ft high, for an area of (10 ft)(4 ft) = 40 ft². The upper left triangle cutout is 4 ft wide and 3 ft high, for an area of (1/2)(4 ft)(3 ft) = 6 ft². The upper right trapezoid cutout has bases of 1 ft and 4 ft, and a height of 4 ft, so its area is 1/2(1 ft +4 ft)(4 ft) = 10 ft².

Then the clubhouse area is 40 ft² -6 ft² -10 ft² = 24 ft².

what do you call the statements that are assumed to be true and do not need proof?​

Answers

Answer:

A postulate :)

Step-by-step explanation:

This is because a postulate is a statement that is assumed true without proof, while a theorem is a true statement that can be proven.

Hope this helps!

A circular rug has a circular table in the middle. The diameter of the rug is 12 meters and the diameter of the table is 4 meters. What area of rug is left after placing the table over the midddle of the rug? Use 3.14

Answers

Answer:

100.53m² area of carpet is left after putting the table in place.

use the intersect method to solve the equation
-2x+1=-x^2+4

Answers

The intersect method involves spliting an equation to a system of equations

The solutions to the equation are (-1, 3) and (3,-5)

How to solve the equation?

The equation is given as:

-2x + 1 = -x^2 + 4

Using the intersect method, we have the following equations

y = -2x + 1

y = -x^2 + 4

Next, we plot the graph of both equations

From the graph (see attachment), we have the following points of intersection

(x,y) = (-1, 3) and (3,-5)

Hence, the solutions to the equation are (-1, 3) and (3,-5)

Read more about system of equations at:

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Hey, need to solve for x

2(x-3)=9x+8

Answers

Answer:

x = -2

Step-by-step explanation:

2x-6 = 9x+8

-7x = 14

x = -2

PLEASE RATE!! I hope this helps!!

Describe the transformation to the parent to the parent function

y = -2|x+3|-1

Transformation:

Answers

Using translation concepts, it is found that the parent function was reflected over the x-axis, vertically stretched by a factor of 2, shifted left 3 units and down 1 unit.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The parent function is:

y = |x|

The translations are as follows:

It was multiplied by -2, hence it was vertically stretched by a factor of 2, and since it was multiplied by a negative number, reflected over the x-axis.x -> x + 3, hence it was shifted 3 units right.One was subtracted from the function, hence it was shifted one unit down.

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What is the formula of the curved surface of a cylinder?

Answers

Answer:

2πr × h = 2πrh

Step-by-step explanation:

that is the formula for a curved surface of a cylinder 2πr × h = 2πrh.

Please help me ASAP

Answers

Answer:

12 -9

Step-by-step explanation:

Look to the ends of each arrow and you will see each number the arrow is on. Hope this helps.

Answer:

[tex]y=-x+3[/tex]

Step-by-step explanation:

Let's start by defining what slope-intercept form is. Slope-intercept form is:

y=mx+b

Where...

"y" = y-coordinate of any point on the line

"m" = slope of the line

"x" = x-coordinate of any point on the line

"b" = y-intercept (where the line intercepts the y-axis)

Let's start by finding the y-intercept. As stated above, the y-intercept is where the line intercepts the y-axis. Looking at the graph, we can tell that in this case, it is (0, 3).

Note that the y-intercept (b) is represented by ONLY the y-value, which in this case is 3.

Now, let's find the slope. Start by taking ANY two points on the line. Let's use (0, 3) and (1, 2).

The formula for slope is:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]y_1, y_2:$ Values for the two y-coordinates\\x_1, x_2:$ Values for the two x-coordinates[/tex]

Substitute the given points into the equation:

[tex]m=\frac{2-3}{1-0}=\frac{-1}{1}=-1[/tex]

The slope is -1.

Finally, we substitute our slope and y-intercept back into the equation and get:

[tex]y=-x+3[/tex]

Please help me!! I will mark you brainliest!

Answers

Answer:

Step-by-step explanation:

Right off the bat, you will know the lowest number is 52 and the highest number is 65, therefore there will act as the guides for your box and whisker plot. This eliminates answers B and C because they are not accurate to that.

Next, we find the median of the set of numbers by crossing out (writing it down, or imagining doing so) the numbers on either end consecutively to until you reach the center number, ours being 58. This eliminates answer A.

This leads us to belive answer D is the correct box and whisker plot.

In Art Museum has 1042 pictures to split equally into 35 different exhibits. How many more pictures does the museum need to make sure each Exhibit
Has the same amount

Answers

Answer:

8 more pieces

Step-by-step explanation:

First, divide 1042 by 35 to get 29 and 27/35. Since each exhibit needs 35 pieces, and since 35- 27 is 8, the museum needs 8 more pieces.

Hopefully this helps- let me know if you have any questions!

Unit 4: Congruent Triangles Homework 2: Angles of Triangles

Answers

The value of the third angle that can be found in the information given about the congruent triangles will be 45°.

How to solve the triangle?

From the complete information, the angles that are given in the triangle are 76° and 59°.

It should be noted that the value of the total angles that are in a triangle is 180°. Therefore, the value of the last angle will be:

= 180° - (76° + 59°)

= 180° - 135°

= 45°

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What classification is the following expression?

Answers

Answer:

Types of algebraic expressions may further be distinguished in the following five categories. They are: monomial, polynomial, binomial, trinomial, multinomial. 1. Monomial: An algebraic expression which consists of one non-zero term only is called a monomial.

Step-by-step explanation:

1+1=2

How long is 10% of a 24-hour day?

Answers

Answer:

2.4 hour is  10%

Step-by-step explanation:

Because 10% is equal to 0.1 24÷ 10% =2.4

Directions: Find each missing measure. 1.​

Answers

Answer:

1. 19 Degrees

2. 63 Degrees

3. 37 Degrees

4. 119 Degrees

5. 69 Degrees

6. 71 Degrees

7.1 65 Degrees

7.2 48 Degrees

7.3 42 Degrees

Step-by-step explanation:

Angles in a triangle always add up to 180 degrees. (180-79-82=19 for the first one)

The little box in a triangle represent 90 degrees.

7.2 Vertical Angles are equal to each other

A function f is defined by f(x, y) = 3x2 – 4y. What is the value of
f(3, 2)?

Answers

Assuming the function is [tex]f(x,y)=3x^2-4y[/tex]

     --> then f(3,2) is: [tex]f(3,2) = 3(3^2)-4(2)=3*9-8=27-8=19[/tex]

Hope that helps!

What is the poh of a solution of hno3 that has [oh– ] = 9.50 × 10–9 m? round to the nearest hundredth.

Answers

The hydroxide-ion concentration or pOH of HNO₃ solution comes to be 8.02.

What is the pOH of the solution?

The pOH of a solution is the negative logarithm of the hydroxide-ion concentration.

or pOH = -log[OH⁻]

The hydroxide-ion concentration OH⁻ of HNO₃ solution = 9.5 * 10⁻⁹ million.

So, the pOH of the HNO₃ solution =-log[9.5* 10⁻⁹] = 8.02

Therefore, the hydroxide-ion concentration or pOH of HNO₃ solution comes to be 8.02.

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Answer:

8.02

Step-by-step explanation:

trust

The number of people at last Saturday's Norchester City game was 12 400. Season ticket holders made up 3/8 of the crowd. How many season ticket holders were there?​

Answers

Answer:

4,650.

Step-by-step explanation: If the total number of people at the game is 12,400 and 3/8 of those people were Season ticket holders. You simply multiply 12,400 x (3/8).

PLSS help this is important
(will give brainliest)

Answers

Answer:

A (first one)

Step-by-step explanation:

From T to T' you add 2 to the x and subtract 3 from the y

Then you do that to the x and y on O and Y

So for O, -4+2 is -2 and 1-3=-2

then you just do that for Y and you get (0,0) when applied

Which expression is equivalent to (q^6)^2
○ q^3
○ q^8
○ q^12
○ q^36
btw, its not q^36​

Answers

I would take the exponents and multiple them. 6x2=12>>>q^12

Anthony takes out a student loan to pay for his college tuition this year. Find the interest on the load if he borrowed $6,000 at an annual interest rate of 6% for 15 years​

Answers

Answer:

the interest would be $5,400 after 15 years

If you were to buy a $1,000 computer in Tennessee, how much would it cost in

Williamson County? How much would you save if you bought it in Davidson County?

Answers

It will cost $1,097.5 in Williamson County.It will cost $1,092.5 in Davidson County.$5 is the amount which will be saved.

What is Sales tax?

This refers to the tax paid to a governing body for the sales of certain goods and services.

In  Williamson County, the sales tax rate is 9.75% = 9.75% × $1,000 = $1,097.5

In Davidson County , the sales tax rate is 9.25% =  9.25%  × $1,000 = $1,092.5

The amount saved will therefore be $1,097.5 - $1,092.5 = $5.

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Which strategy would most help minimize the risk of being underinsured

Answers

The strategy that would most help minimize the risk of being underinsured is to take a higher deductible.

What is a deductible?

It should be noted that a deductible simply means the amount that paid by an individual before the insurance holder will give the expenses.

In this case, the strategy that would most help minimize the risk of being underinsured is to take a higher deductible.

Learn more about deductible on:

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Answer:

choosing max coverage

Step-by-step explanation:

For each set of three lengths, determine if they can be the side lengths of a triangle.

Answers

Answer:

Yes, No, Yes, No

Step-by-step explanation:

Use the triangle inequality theorem, which states that the sum of any two side lengths must be greater than the third side length.

Apply this to each combination.

Use one inequality, compare the sum of smallest two sides with the largest side.

1) 4, 9, 8

4 + 8 = 12 > 9, so Yes

2) 7, 25, 7

7 + 7 = 14 < 25, so No

3) 8.8, 24, 15.8

8.8 + 15.8 = 24.6 > 24, so Yes

4) 5, 9, 3

3 + 5 = 8 < 9, so No

Ben has agreed to play fewer video games and spend more time studying. He has agreed to play less than 10 hours of video games each week. On Monday through Thursday, he plays video games for a total of 5 1/2 hours. For the remaining 3 days, he plays video games for the same amount of time each day. Find t, the amount of time he plays video games, for each of the 3 days.

Answers

Answer:

t < 1.5

Step-by-step explanation:

Mon-Thu: 5.5 hours

each of the remaining 3 days: t hours each day

total time: 3t + 5.5

The total time must be less than 10 hours.

3t + 5.5 < 10

3t < 4.5

t < 1.5


ABC and AED are straight lines.
BE and CD are parallel.
A
B
AD = 10.5 cm
AE = 4.2 cm
BE = 2.9 cm
a) Work out length CD.
AC = 8.75 cm
b) Work out length BC.

Answers

Answer:

  a) CD = 7.25

  b) BC = 5.25

Step-by-step explanation:

a)

The parallel lines mean the triangles are similar. ΔADC ~ ΔAEB. Corresponding sides are proportional, so ...

  AD/AE = DC/EB

  10.5/4.2 = CD/2.9

  CD = 2.9(5/2) = 7.25

__

b)

Corresponding sides are proportional, so ...

  BC/AC = ED/AD

  BC = AC(ED/AD) = 8.75(10.5 -4.2)/10.5 = 8.75(3/5) = 5.25

If two triangles are congruent, which of the following statements must be
true? Check all that apply.

A. The triangles have the same size, but not the same shape.
B. The corresponding sides of the triangles are congruent.
I c. The corresponding angles of the triangles are congruent.
D. The triangles have the same size and shape.

Answers

congruent means that the triangles are the same making B, C, D the correct answers. A will not work since both need to be the same shape

B. The corresponding sides of the triangles are congruent.

I c. The corresponding angles of the triangles are congruent.

D. The triangles have the same size and shape.

Step-by-step explanation:

.

Is (3, 1) a solution to this system of equations?

3x + 3y = 12
12x + y = 13

Yes or no

Answers

Answer: No

Step-by-step explanation:

(3,1) is not a solution because when plugging in x=3 and y=1 to the second equation, you get: 12(3) + 1 = 13 → 36 + 1 = 13 → 37 = 13, which is false.

Choose the student who wrote and solved the equation correctly.

The cost of 4 bananas is $2.36. What is the cost of each banana?

Answers

Using proportions, it is found that the cost of each banana is of $0.59, and Juan is the student who wrote and solved the equation correctly.

What is a proportion?

A proportion is a fraction of a total amount.

In this problem, the cost of 4 bananas is $2.36, hence the cost of each banana is given by:

C = $2.36/4 = $0.59.

Which means that Juan is correct.

More can be learned about proportions at https://brainly.com/question/24372153

Please help I will give brainliest.

Answers

Answer:

3 Rd one

Step-by-step explanation:

donee....!!✓give me the branliest

Consider 4(2x + 3) = 2(4x + 6) after each
side of the equation is simplified.
Why does the equation have infinitely many
solutions?

Answers

Hope this helps you

Good luck

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