Ask question

Ask question

All categories

3 years ago

10

Michael wants to find the length of the shadow of a tree. He measures the height of a fencepost and the length of the shadow it

casts. The fencepost is 3.5 feet tall, and its shadow is 10.5 feet long. Next, Michael measures the height of the tree, and finds it is 6 feet tall. How long is the shadow of the tree?

1 answer:

zmey [24]3 years ago

4 0

The shadow of the tree is about 17.955 feet long.

You might be interested in

Solve for x I need help on this question

AlexFokin [52]

Answer:

$x\approx7.8$

Step-by-step explanation:

In relation to the given angle, we are given the triangle's opposite side and hypotenuse. Therefore, we use the sine function to set up a proportion and solve for the opposite side:

$sin(\theta)=\frac{opposite}{hypotenuse}$

$sin(23^\circ)=\frac{x}{20}$

$20sin(23^\circ)=x$

$x=20sin(23^\circ)$

$x\approx7.8$

Therefore, the length of the opposite side is about 7.8 units

3 0

2 years ago

What is the product of the 2 solutions of the equation x^2+3x-21=0

Advocard [28]

X²+3x-21=0

1) we solve this square equation:
x=[-3⁺₋√(9+84)] / 2=(-3⁺₋√93)/2
We have two solutions:
x₁=(-3-√93)/2
x₂=(-3+√93)/2

2) we compute the product of the 2 solutions found.
[(-3-√93)/2][(-3+√93)/2] =(-3-√93)(-3+√93) / 4=
=(9-93)/4=-84/4=-21

Answer: the product of the 2 solutions of this equation is -21

3 0

3 years ago

What is the answer to the problem 21+40(2x-3)

12345 [234]

Answer:

x = 1.2375 or 99/90

Step-by-step explanation:

<u>Step 1: Distribute</u>

21 + 40(2x - 3)

21 + 80x - 120

<u>Step 2: Combine like terms</u>

21 + 80x - 120

80x - 99

<u>Step 3: Solve for x</u>

80x - 99 + 99 = 0 + 99

80x / 80 = 99 / 80

x = 1.2375

Answer: x = 1.2375 or 99/80

3 0

3 years ago

Read 2 more answers

Nine teammates go to the local sandwich shop. All nine

andrezito [222]

Answer:

D)

Step-by-step explanation:

No, a reasonable estimate is around 9. $6 = $54

I got it right on my test

3 0

3 years ago

Find the value of x such that the area of a triangle whose vertices have coordinates (6, 5), (8, 2) and (x, 11) is 15 square uni

Serjik [45]

Answer:

$x =12\ or\ -8$

Step-by-step explanation:

Given

$(x_1,y_1) = (6,5)$

$(x_2,y_2) = (8,2)$

$(x_3,y_3) = (x,11)$

$Area = 15$

Required

Find x

The area is calculated as thus:

$Area = \frac{1}{2}|x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2)|$

Substitute values

$15 = \frac{1}{2}|6*(2 - 11) + 8*(11 - 5) + x(5 - 2)|$

$15 = \frac{1}{2}|6*(-9) + 8*(6) + x(3)|$

$15 = \frac{1}{2}|-54 + 48 + 3x|$

$15 = \frac{1}{2}|-6 + 3x|$

Multiply through by 2

$2 * 15 = \frac{1}{2}|-6 + 3x| * 2$

$30 = |-6 + 3x|$

Remove absolute sign

$30 = -6 + 3x\ or\ -30 = -6 + 3x$

Add 6 to both sides

$36 = 3x\ or\ -24 = 3x$

Divide by 3

$12 = x\ or\ -8 = x$

$x =12\ or\ -8$

<em>So, the coordinates are (-8, 11) or (12,11)</em>

3 0

3 years ago