At 5 feet tall, Emily casts a shadow that is 8 feet long. She is standing near a tree that casts a shadow that is 28 feet long. How tall is the tree?

Answers

Answer 1

Answer:

The tree is 17.5 ft tall

Step-by-step explanation:

We can use proportions to solve this.

Notice that Emily (5 feet tall) and her shadow (8 feet long) constitute the two legs of a right angle triangle (see attached image).

The nearby tree  (unknown height H), will also cast a shadow (28 ft long) with the same inclination as Emily does due to the unique position of the sun relative to them.

Then we can use the proportion associated with the sides of similar triangles:

[tex]\frac{5\,ft}{8\,ft} =\frac{H}{28\,ft}[/tex]

Then, we can solve for H in the equation:

[tex]\frac{5\,ft}{8\,ft} =\frac{H}{28\,ft} \\H=\frac{28*5}{8} \,ft\\H=17.5 \.ft[/tex]

At 5 Feet Tall, Emily Casts A Shadow That Is 8 Feet Long. She Is Standing Near A Tree That Casts A Shadow

Related Questions

Mary bought 3 cartons of milk for $1.06 each. If she paid for the milk with a five-dollar bill, how much money should she get back​

Answers

Answer:

shed get $1.82 back

Step-by-step explanation:

Answer:

She would get $1.82 back

Step-by-step explanation:

If she bought 3 cartons costing $1.06 each, you would have to multiply $1.06 by 3

$1.06 x 3 = $3.18

Then if she paid with a five dollar bill you have to subtract $3.18 from 5

5 - 3.18 = 1.82

$1.82 is the answer

9=8n what does n=
Please help

Answers

9 over 8 so 9/8 so just write it out with a 9 on top a line under the 9 and the number 8!

Given the following diagram, find the length of CB.

Answers

CB would be the same length as AD bc they are not only parallel but also the same size

What is the value of x in the equation 8 + 4 = 2 (x minus 1)?
A.5
B.StartFraction 11 Over 2 EndFraction
C.StartFraction 13 Over 2 EndFraction
D.7

Answers

The answer t your question is option c because you have to expand the brackets
12=2x-1
Move negative one to the other side as a positive number
13=2x
Divide both sides by two
13/2 is option c

Answer:

It is actually 7

Step-by-step explanation:

yup :)

As the amount of time on homework increased, their grade in class ____________.

Answers

Answer:

Increases

Step by Step Explanation:

More time on your homework means more time to cheat/figure the answer out.

Answer:

Improved

Step-by-step explanation:

The more you study or do homework, the more you learn, and the better your grade

The number of laughs (denoted by L) can be defined as a function of the number of jokes (denoted by J), the amount of knowledge about the joke material (denoted by K), and the familiarity with the jokes (denoted by F) using this formula: L=J⋅K2F L, equals, start fraction, J, dot, K, squared, divided by, F, end fraction Select an appropriate measurement unit for number of laughs.

Answers

Answer:

(A) [tex](Jokes * Knowledge^2) / Familiarity[/tex]

Step-by-step explanation:

The number of laughs (denoted by L) is a function of

The number of jokes (denoted by J), The amount of knowledge about the joke material (denoted by K).

Given [tex]L=\frac{J\cdot K^2}{F}[/tex]

The appropriate measurement unit for number of laughs will be:

[tex](Jokes * Knowledge^2) / Familiarity[/tex]

Average rooms cleaned per maid day is determined by a) number of rooms occupied divided by number of 8-hour maid shifts. b) number of rooms occupied divided by total number of housekeepers. c) number of shifts multiplied by the number of rooms. d) number of housekeepers multiplied by average number of rooms occupied.

Answers

Answer:

B

Step-by-step explanation:

    Average rooms cleaned per housekeeper day: The average number of rooms cleaned per housekeeper day is  performance ratio that gives an idea of how many rooms each housekeeper cleaned.

Average rooms cleaned per housekeeper day = [tex]\frac{ Number of rooms occupied}{Number of full-time housekeepers}[/tex]

given that y varies directly with x in the table find the value of y if the value of x is 5

Answers

Answer:

15

Step-by-step explanation:

Vanessa draws one side of equilateral
△ABC on the coordinate plane at
points A(-2, 1) and B(4,1). What are
the two possible coordinates of vertex
C? Round to the nearest tenth.

Answers

Answer:

According to my calculation, the two possible coordinates of vertex C, is [tex](1,\sqrt{27}) and (1,-\sqrt{27})[/tex].

Answer:

According to my calculation, the two possible coordinates of vertex C, is .

Step-by-step explanation:

Solve the inequality.
8+8(x + 4) >32
The solution is

Answers

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:   x > - 1

Step-by-step explanation:

Answer:

x  > -1

Step-by-step explanation:

To solve, we must isolate the variable, x

8+8(x + 4) >32

Distribute the 8

8+ 8*x +8*4

8+8x+ 32 >32

Combine like terms

8+32 +8x  >32

40 + 8x >32

Subtract 40 from both sides

8x  > -8

Divide both sides by 8

x  > -1

Jeremy caught 8 fish in a contest.
The mean weight of the fish was 4.3125 kg.
He forgot to make his own record of the weight of the last fish,
but the first 7 were: 4.3 kg, 5.3 kg, 6.8 kg, 2.6 kg, 3.2 kg, 4.4 kg and 4.8 kg
What was the weight of the last fish?
kg [2]

Answers

The weight of the last fish was 3.1 kg. It's found by subtracting the sum of the weights of the first 7 fish from the sum of all weights.

To find the weight of the last fish, we can use the mean weight formula:

[tex]\[\text{Mean weight} = \frac{\text{Sum of all weights}}{\text{Number of fish}}\][/tex]

Given:

- Jeremy caught 8 fish.

- The mean weight of the fish was 4.3125 kg.

- The sum of the weights of the first 7 fish is [tex]\(4.3 + 5.3 + 6.8 + 2.6 + 3.2 + 4.4 + 4.8\).[/tex]

First, let's calculate the sum of the weights of the first 7 fish:

[tex]\[4.3 + 5.3 + 6.8 + 2.6 + 3.2 + 4.4 + 4.8 = 31.4\text{ kg}\][/tex]

Now, let's find the sum of all weights of the 8 fish:

[tex]\[4.3125 \times 8 = 34.5\text{ kg}\][/tex]

To find the weight of the last fish, we subtract the sum of the weights of the first 7 fish from the sum of all weights:

[tex]\[34.5 - 31.4 = 3.1\text{ kg}\][/tex]

So, the weight of the last fish was 3.1 kg.

The results for a survey of 120 students who were selected randomly are as follows 60 students have a cell phone plan with company x. 36 students have a cell phone plan with company y. 24 students do not have a cell phone the total population of students was 380.Based on the data what is the best approximation for the total number of students who have a cell phone plan with company y?

Answers

Answer:

114

Step-by-step explanation:

find the solution below

What is the factored form of the polynomial 27x²y - 43xy??
xy(27x – 43y)
x?y?(27 – 43)
3xy(9x – 17y)
3x?y(9 – 14y)

Answers

This is the questions Xy(27x-43y) :)

Answer: xy (27x - 43y)

Step-by-step explanation:

Luisa Díaz drove her vehicle about 7,200 miles last year. Her fixed costs totaled $1,058.40 and her variable costs were $1965.60 how much did it cost per mile

Answers

Answer:

$0.42

Step-by-step explanation:

Given:

Luisa Díaz drove her vehicle about 7,200 miles last year.

Total fixed cost = $1,058.40

Total variable cost = $1965.60

Question asked:

How much did it cost per mile ?

Solution:

Total cost of driving 7200 miles = Total fixed cost + Total variable cost

                                                     = $1,058.40 + $1965.60

                                                     = $3024

By unitary method:

Cost of driving 7200 miles = $3024

Cost of driving 1 mile = $3024 [tex]\div[/tex] 7200

                                   = $0.42

Thus, cost of driving per mile is $0.42

What type of angles are< 1 and <5?





vertical

supplementary

corresponding

complementary

Answers

Answer:

The type of angles of <1 and <5 are corresponding angles

Step-by-step explanation:

I need help asap i am confused

Answers

Answer:

the top one (-40)8 is the correct answer

An animal pen is in the shape of a triangle. One of the interior angles of the triangle is 40 degrees. The measure of the other interior angles are in the ratio 3 : 5. What are the measures of the other interior angles?

Answers

Final answer:

In a triangle, the sum of all interior angles is always 180 degrees. Given the ratio of the other interior angles, we can find their measures.

Explanation:

In a triangle, the sum of all interior angles is always 180 degrees. Given that one of the interior angles is 40 degrees, let's denote the measures of the other two angles as 3x and 5x. The sum of all three angles is 40 + 3x + 5x = 180. Simplifying this equation, we get 8x + 40 = 180. Subtracting 40 from both sides gives us 8x = 140. Dividing both sides by 8, we find x = 17.5.

Now, we can substitute the value of x back into the expressions for the other two angles. So, the first angle is 3x = 3(17.5) = 52.5 degrees, and the second angle is 5x = 5(17.5) = 87.5 degrees.

What is 7 more than five times the number 9 divided by 15?

Answers

Answer:

10

Step-by-step explanation:

Brandon works at a nearby electronics store. He makes a commission of 14% on everything he sells. If he sells a camera for $588.00, how much money does Brandon make in commission?

Answers

Answer: cc

Step-by-step explanation:

Answer:

670.32

Step-by-step explanation

PLEASE SOMEONE HELP ME WITH THIS! NO ONE CAN FIGURE IT OUT AND ILL GIVE YOU 60 POINTS PLUS BRAINLIEST IF YOU CAN HELP ME! please do not copy and paste or even comment just for the points, i really need help.

Answers

A) Variables:

X = number of weeks she puts money into the account.

Y = total amount in account after x weeks.

B) m would be the amount she puts in per week, b is the starting amount she has in the account

Y = 5x + 40

C) replace x with the x values in the cart and solve for y:

O : y = 40. Coordinates (0,40)

1: Y = 45. (1,45)

2: 50, (2,50)

3: 55, (3,55)

4: 60, (4,60)

D) make the graph using the above points

E) y intercept is when x is 0, which is 40. This was the starting value of how much money was saved.

Answer:

DO you still need help? Considering this was posted a long time ago.

Step-by-step explanation:

Which pair shows equivalent expressions?
2 (two-fifths x + 2) = 2 and two-fifths x + 1
2 (two-fifths x + 2) = four-fifths x + 4
2 (two-fifths x + 4) = Four-fifths x + 2
2 (two-fifths x + 4) = 2 and two-fifths x + 8

Answers

Answer:c

Step-by-step explanation:

I think

The daily high temperatures in Philadelphia for the first 15 days in February is normally distributed with a standard deviation of 2.5°. If it was 37° on Valentine's Day with a z-score of 2.4, the mean temperature is _________°.Immersive Reader

Answers

Answer:

The mean temperature is 31.

Step-by-step explanation:

The formula for the z-sore is

          x - mean

z = ----------------------

        (std dev)

In this case let's multiply both sides by (std dev), obtaining:

x - mean = z*(std dev).

Solving for (mean), we get

mean = x - z*(std dev)

Substituing 37 for x, 2.4 for z and 2.5 for (std dev), we get:

mean = 37 - (2.4)(2.5) = 31

The mean temperature is 31.

Final answer:

To find the mean temperature with the given z-score and standard deviation, the z-score formula is used. After calculation, the mean temperature in Philadelphia for the first 15 days of February is determined to be 31°.

Explanation:

The question is asking us to find the mean temperature in Philadelphia for the first 15 days in February, given that the daily high temperatures are normally distributed with a standard deviation of 2.5° and that on Valentine's Day (February 14th), the temperature was 37° with a z-score of 2.4. To solve for the mean temperature, we can use the z-score formula:

Z = (X - μ) / σ

Where:
Z is the z-score,
X is the value in the dataset,
μ is the mean, and
σ is the standard deviation.

We know Z = 2.4, X = 37°, and σ = 2.5°. Plugging these values into the z-score formula, we can solve for the mean (μ).

2.4 = (37 - μ) / 2.5

Multiplying both sides by 2.5, we get:

2.4 x  2.5 = 37 - μ
6 = 37 - μ
μ = 37 - 6
μ = 31°

Therefore, the mean temperature in Philadelphia for the first 15 days in February is 31°.

plz can any1 help me out on this plz
15 points

Answers

Answer:

7/22

Step-by-step explanation:

Drama or Sports:

85 + 200 - 60

225

330 - 225 = 105

Probability: 105/330

7/22

Solve the equation for all real values of x. 3tan^2x=3tanx

Answers

The equation 3tan²x = 3tanx solved for all real values of x is [tex]x = n\pi[/tex] or [tex]x = \dfrac{\pi + 4n\pi}{4}[/tex], where n is an integer

Solving the equation for all real values of x.

From the question, we have the following parameters that can be used in our computation:

3tan²x = 3tanx

This can be expressed as

3tan²x - 3tanx = 0

Factor out 3tanx

3tanx(tanx - 1) = 0

Expand

3tanx = 0 or tanx - 1 = 0

So, we have

tanx = 0 or tanx = 1

Take the arctan of both sides

x = tan⁻¹(0) or x = tan⁻¹(1)

Evaluate the arctan for all real values of x.

[tex]x = n\pi[/tex] or [tex]x = \dfrac{\pi + 4n\pi}{4}[/tex], where n is an integer

What is the length of a rectangle with width 18 in, and area 135 in 2?

Answers

Answer: The length of a rectangle would be 7.5

Step-by-step explanation:

To find the length is [tex]l = \frac{A}{w}[/tex]

-Solve:

[tex]l=\frac{135}{18}[/tex]

-Divide 135 by 18 and you get 7.5

[tex]\frac{135}{18} = 7.5[/tex]

-Result:

[tex]l= 7.5[/tex]

Find the area of the shaded segment. Round your answer to the nearest hundredth. ​

Answers

Answer:

2.57

Step-by-step explanation:

1/4×22/7×3×3=7.07

1/2×9=4.5

7.07-4.5=2.57

Graph f(x) and its inverse, f^-1(x) , in the same coordinate grid.

Answers

Answer:

Included in screenshot

whats the area of a circle if the diameter is 24.26 mm

Answers

Answer:

approximately 462.24

Step-by-step explanation:

The answer will be 462 I think ,
Please mark me as the brainiest

Emilce pide 5 platos por semana para almorzar en la oficina. El menú ofrece 5 opciones diferentes. De cuantas maneras puede realizar el pedido de la semana si quiere repartir los platos?

Answers

Answer:

120 different ways

Step-by-step explanation:

For the first lunch, Emilce has 5 options to choose,

In the second lunch, now she has only 4 options, as one was already chosen.

Then, in the third lunch, she has 3 options.

In the fourth lunch, she has 2 options.

In the last lunch, she has just 1 option.

So, the number of different ways she can order her lunches in the week is:

5 * 4 * 3 * 2 * 1 = 120

She can order in 120 different ways.

The points ​(2​,10​) and ​(minus2​,minus10​) are plotted on the coordinate plane using the equation yequalsatimesx. How can you use the coordinates to find the value of​ a? Select the correct answer​ below, and fill in the answer box to complete your choice. ​(Type a whole​ number.) A. The value of a is the number that the​ y-values are multiplied by to get to the corresponding​ x-values. So, aequals nothing. B. The value of a is the absolute value of the difference of the​ y-values. So, aequals nothing. C. The value of a is the number that the​ x-values are multiplied by to get to the corresponding​ y-values. So, aequals nothing. D. The value of a is the absolute value of the difference of the​ x-values. So, aequals nothing.

Answers

Answer: The value of a is the number that the​ x-values are multiplied by to get to the corresponding​ y-values. So, a equals 5

We have

y=ax  

so a is clearly the number we multiply by the x values.

Substituting either  points (2,10) and (-2,-10),

10 = a(2)

a = 10/2 = 5

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