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Ilia_Sergeevich [38]
2 years ago
15

Emilio found that a scarecrow that is 8 feet tall casts a shadow 15 feet long. Then Emilio noticed that a lemon tree nearby cast

s a shadow 30 feet long. How tall is the lemon tree?
Mathematics
1 answer:
Naya [18.7K]2 years ago
8 0

Answer:

16 feet long

Step-by-step explanation:

If the tree's shadow length is 15 and you want to find the tree which is 30, you multiply by two and you have to multiply the 8 as well by two and you get 16.

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Point C is on line segment \overline{BD} BD . Given CD=x,CD=x, BC=5x-5,BC=5x−5, and BD=2x+7,BD=2x+7, determine the numerical len
NARA [144]

Answer:

CD = 3

Step-by-step explanation:

Given

CD = x

BC = 5x - 5

BD = 2x + 7

Required

Determine CD

Since, C is a point on BD, the relationship between the given parameters is;

BD = BC + CD

Substitute the values of BD, BC and CD

2x + 7 = 5x - 5 + x

Collect Like Terms

2x - 5x - x = -5 - 7

-4x = -12

Divide both sides by -4

\frac{-4x}{-4} = \frac{-12}{-4}

x = 3

To determine the length of CD;

Substitute 3 for x in CD = x

Hence;

CD = 3

3 0
3 years ago
What is the answer to 8(6+4×)=-176
taurus [48]

Answer:

Step-by-step explanation:

48+32x=-176

32x=224

x=7

3 0
3 years ago
Which angles are vertical to DEA? Question is located in the attached file (image)​
ValentinkaMS [17]

Answer:

∠CEB

Step-by-step explanation:

The vertical angle is one that is directly <em>opposite</em> to the original angle. In this image of two intersecting lines, it looks like the angle ∠CEB is directly across from our angle ∠DEA. So, the angle ∠CEB is <em>vertical to</em> ∠DEA.

Hopefully that was helpful! :)

3 0
2 years ago
Hi can you help me Find h?<br> Find h
AlekseyPX

Answer:

6

Step-by-step explanation:

3 0
2 years ago
A 10-foot ladder leans against a wall so that it is 6 feet high at the top. The ladder is moved so that the base of the ladder t
konstantin123 [22]

Answer:

The top of the ladder is now at 10 ft.

Step-by-step explanation:

At the start, we have a height H=6, a length L=10 and a base B, that has to be calculated by the Pythagorean theorem:

B^2=L^2-H^2=10^2-6^2=100-36=64\\\\B=\sqrt{64}=8

The base is moved twice the distance the height moves up.

We called this distance x, so we have:

L^2=(H+x)^2+(B-2x)^2=H^2+2Hx+x^2+B^2-4Bx+4x^2\\\\L^2=(H^2+B^2)+5x^2+(2H-4B)x\\\\L^2=L^2+5x^2+(2H-4B)x\\\\0=5x^2+(2H-4B)x\\\\5x+(2H-4B)=0\\\\x=\dfrac{4B-2H}{5}=\dfrac{4*8-2*6}{5}=\dfrac{32-12}{5}=\dfrac{20}{5}=4

The new height (H+x) is

H'=H+x=6+4=10

The base travels 2x=8, so the new base B' is 0.

This means that the ladder is all against the wall (L=H').

6 0
3 years ago
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