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Butoxors [25]
3 years ago
13

One triangle shown is formed by the tree, its shadow, and a line of sight from the ground to the top of the tree. The other is f

ormed by Manny, his shadow, and a line of sight from the ground to the top of his head.Manny is 512 feet tall, and his shadow is 414 feet long. The shadow of the tree is 17 feet long. How can you determine the height of the tree?
Mathematics
1 answer:
irga5000 [103]3 years ago
4 0

Answer:

21 feet

Step-by-step explanation:

To solve this question, we would be using the proportion

Shadow /Height

From the question:.

Manny's shadow = 414 feet

Manny's Height = 512 feet

Height of the tree = ? = x

Shadow of the tree = 17 feet

Hence:

414/512 = 17/ x

Cross Multiply

414 × x = 512 × 17

x = 512 × 17/414

x = 21.024154589 feet

x ≈ Approximately = 21 feet

The height of the tree = 21 feet

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The exclamation point (!) on a billboard consists of a circle sector and circle. The radius of the sector is 9 ft, and the radiu
harina [27]

Answer:

  24.0 square feet

Step-by-step explanation:

The area of the sector is given by ...

  A = (1/2)r²θ . . . . . where θ is the angle in radians

The area of the circle is the same, with θ=2π, so is ...

  A = πr²

__

In this problem, the area of the sector is ...

  A = (1/2)(9 ft)²(24π/180) = 27π/5 ft² ≈ 16.9646 ft²

The area of the circle is ...

  A = π(1.5 ft)² = 9π/4 ft² ≈ 7.0686 ft²

Then the total area of the exclamation point is ...

  16.9646 +7.0686 ≈ 24.0 . . . ft²

The area is about 24.0 square feet.

8 0
3 years ago
When ms Thelma turned one her oven ,the temperateure inside was 70 degress. The temputure began to rised at a rate of 40 per min
Ronch [10]

Answer:

7 minutes

Step-by-step explanation:

First, subtract 70 from 350.

350-70=280

Now, divide 280 by 40

280/40=7

It took Ms. Thelmas oven to heat up from 70 degrees to 350 degrees in 7 minutes.

3 0
2 years ago
Apples are on sale for $3.12 per kilogram is the total cost of apples proportional to the total mass?​
zloy xaker [14]

Answer:

yes

Step-by-step explanation:

(there really isn't much else to say, it's quite simple)

5 0
3 years ago
Which integral gives the area of the region in the first quadrant bounded by the graphs of y^2 = x − 1, x = 0, y = 0, and y = 2?
r-ruslan [8.4K]
Weird that the only choices are given as integrals with respect to x. (Integration along the y axis would be way easier, but whatever)

The fourth option should do it.
5 0
2 years ago
Lydia recorded the grade-level and instrument of everyone in the middle school School of Rock below.
neonofarm [45]

Answer:

31/42

Step-by-step explanation:

there are 42 students in 8th grade

31 dont play keyboard so 31/42 = 73.8% chance

6 0
2 years ago
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