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Oksana_A [137]
3 years ago
8

At noon a tree cast a shadow that is 40' long the distance from the top of the tree to the 1st tip of the shadow is 60' what is

the height of the tree round to the nearest 100th
Mathematics
1 answer:
Alla [95]3 years ago
5 0
The Pythagorean theorem can be used for this.
.. (tip distance)² = (shadow length)² + (tree height)²
.. tree height = √((tip distance)² -(shadow length)²)
.. tree height = √((60 ft)² -(40 ft)²) = √(2000 ft²)
.. tree height ≈ 44.72 ft
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1. What is AD/AB in simplest form
Step2247 [10]
This is the concept of algebra: The answers to the questions will be as follows:
1. What is AD/AM in the simplest form:
AD/AB is the ratio of AD to AB. This will calculated as follows:
AD=9 units
AB=3 units
thus:
9/3=3
Hence, we conclude that the answer is D. 3

2] What is slope of BE/ slope of AE in simplest form:
slope=(Δy-axis)/(Δx-axis)
slope of AE
=(5-0)/(4-0)
=5/4
slope BE
slope=(5-0)/(4-3)=5/1=5
therefore the ratio of the two slope will be:
BE/AE
=5/(5/4)
=4
The answer is A.4

3. What is the value of x in the proportion (x-1)/5=(4x+2)/35?
To get the value of x we solve the above proportion:
(x-1)/5=(4x+2)/35
35(x-1)=5(4x+2)
35x-35=20x+10
putting like terms together we get:
35x-20x=10+35
15x=45
dividing both sides by 15
x=45/15
x=3
Hence the answer is B.3

4. What is the value of x in the proportion:
(x+1)/(x+3)=15/21
to get the value of x we solve the above:
first we begin by cross multiplying the proportion, this will give us:
21(x+1)=15(x+3)
21x+21=15x+45
putting like terms together we get:
21x-15x=45-21
6x=24
dividing both sides by 6 we get
x=4
∴ x=4

5. The lengths of the sides of a triangle are in extended ratio 3:10:12. The perimeter is 400 cm. What is the length of the longest side in cm.
solution:
Here we introduce the variable x such that the perimeter is:
3x+10x+12x=400
25x=400
x=400/25
x=16
The longest side will be:
12×16=192 cm


6 0
3 years ago
Read 2 more answers
Help me asap please help me help thank you
tatuchka [14]

Answer:

H

Step-by-step explanation:

Area of a square is given as 16 unit²

Since formula of square is

A=l²

16=l²

l=√16

=4

8 0
3 years ago
Tch, hi ok help. thanks bye
Vikki [24]
Answer is C hope this helps
5 0
3 years ago
Aaron's car used 3- gallons of gas when
monitta
We want to find miles per gallon. Another way of saying miles per gallon is miles/gallon. So we will plug the numbers into this equation:

60 miles/3 gallons = 20 miles/gallon

This is because 60/3=20.

I hope this makes sense.
4 0
3 years ago
Read 2 more answers
Please Answer the 27the question I will mark you as the brainlest
kondor19780726 [428]

Answer:

Step-by-step explanation:

1) we have to find the area of the cut out portion

Since both circles in one side makes up the side 28cm

The diameter of each circle is 14cm

radius = diameter / 2

r = 7cm

Area of a circle = πr²

A = 22/7 × 7²

= 22/7 × 7 × 7

= 22 × 7 = 154cm²

So the four circles will make

= 154 + 154 + 154 + 154

= 616 cm²

The Area of the square will be

= L × L

= 28 × 28

= 784 cm²

Therefore the area of the remaining portion will be

Area of the square - total area of the circles

= 784 cm² - 616 cm²

= 168 cm²

The area of the remaining part is 168 cm²

5 0
3 years ago
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