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Elan Coil [88]
4 years ago
5

There is a light post that is 9 feet tall that casts a shadow that is 6 feet long. At the same time, there is a tree that casts

a shadow that is 14 feet long.
#4: What is the height of the tree? (in feet)

Mathematics
1 answer:
tia_tia [17]4 years ago
6 0

Answer:

The answer to your question is: the three is 21 ft tall

Step-by-step explanation:

Use the Thales's theorem to solve this exercise

Data

light post height = 9 ft

shadow of the light post = 6 ft

tree shadow = 14 ft

height of the three = x

        Proportions                

                                    x /  9 = 14 / 6

Solve for x                  x = 14(9) / 6

                                   x = 21 ft                                    

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A highway is going to be built around a city. The highway will be in the shape of a perfect circle, and its total length will be
Molodets [167]

Answer:

The area that is surrounded by the highway on the billboard is approximately 89.34 square meters

Step-by-step explanation:

The given parameters are;

The length of the circle shaped highway = 251.2 km

The scale of the map of the bus routes along the highway = 1:7,500

The circumference of a circle, C = 2·π·r = The length of the perimeter of the circle

Therefore, we have;

The circumference of the highway = The length of the circle shaped highway = 251.2 km

The circumference of the highway, C = 251.2 km = 2·π·r

The radius of the circular highway path, r = 251.2 km/(2·π) ≈ 39.994217 km

The area of a circle, A = π·r².

The area of the highway = π·r² = π × (39.994217 km)² ≈ 5,025.09492434 km.²

Given that the scale of the map = 1:7,500. we have;

The scale of the area = (1:7,500)² = (1:56,250,000)

The size of the drawing, 5,025.09492434 km.²/(56,250,000) = 0.00008933502 km² = 89.33502 m.²

Therefore, the area that is surrounded by the highway on the billboard, rounded to the nearest hundredth of a square meter ≈ 89.34 m.²

5 0
3 years ago
A rectangular garden is 25 feet long by 10 feet wide. You have enough mulch to cover 1000 square feet. You would like to extend
m_a_m_a [10]
<span> Add x to both lenght and width and you get 25+x and 10+x. Set up equation with new area </span>
<span>(25+X)(10+X)=1000 </span>
<span>solve using quadratic formula 

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.

</span>
5 0
3 years ago
Read 2 more answers
What is the slope of the line that passes through (2, 12) and (4, 20)? (1 point)
serg [7]
M=20-12/4-2
m=8/2
m=4, is the answer
7 0
3 years ago
A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 350 cubic
const2013 [10]

Answer:

x = r = 3,12 cm

h = 11,45 cm

C(min) = 10,09 $

Step-by-step explanation:

Let x be radius of base  and  h height of cylinder

Let A₁ be   Cylinder area of base  +  lateral area

A₁  =  π*x²  +  2*π*x*h        Now V = 350 cm³     350  = π*x²*h

h = 350/ π*x²

Then

A₁  =  π*x²  +  700/x

A₂  area of the top

A₂  = π*x²

Now we write the expression of cost as fuction of x

C(x)  = 0,03 * ( π*x²  +  700/x)   +  0,08*π*x²

C(x)  = 0,03* π*x²  +   21/x   +  0,08*π*x²

C(x)  = 0,11* π*x² +   21/x  

Taking derivatives on both sides of the equation

C´(x)  =  2*0,11*π*x  - 21 / x²

C´(x)  = 0         0,22*π*x  - 21 / x²   =  0

0,22*π*x³  -  21  =  0         0.6908* x³  -  21   = 0

X³ =  21/0,6908               X³ =  30,40

x  =  3,12 cm

And

h  =  350/π*x²        h  =  350 / 30,57        

h = 11,45 cm

C(min)  =  0,11* π*(3,12)² +   21/3,12  

C(min)  =  3,36  + 6,73

7 0
4 years ago
Please help me now plz <br> I will mark you brainliest
cricket20 [7]

Answer:

B.) x=5

Step-by-step explanation:

Use the Pythagorean theorem. Since it isosceles, both values of x are the same. Split 6 in half (because perpendicular bisector).Insert values:

a^2+b^2=c^2\\3^2+4^2=x^2\\9+16=x^2\\25=x^2\\5=x

X is equal to 5.

Done.

8 0
4 years ago
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