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alex41 [277]
3 years ago
7

A length of rope is stretch between the top edge of the building at stake in the ground the head of the state is at ground level

the rope also touches a tree that is growing halfway between the state and the building if the tree is 38 feet tall how tall is the building
Mathematics
2 answers:
Schach [20]3 years ago
7 0

Answer:

76 feet

Step-by-step explanation:

based on the looooooong txt, the building n tree form two similar right-angled triangles w the rope as the hypothesis.

tree is halfway between stake and bldg so stake-to-bldg = 2 x stake-to-tree

as the triangles are similar, their sides are in the same ratio

bldg height = 2 x tree height

= 2 x 38

= 76 feet tall


amid [387]3 years ago
3 0

Because the tree is the halfway point, the building would be twice as tall:

The building is 38 x 2 = 76 feet tall.

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Using the definitions of odd and even functions, explain why y= sin x+1 is neither odd nor even.
Artyom0805 [142]

Answer:

Step-by-step explanation:

The graph is symmetric with respect to the origin therefore it is on odd function. The graph is symmetric to the y- axis therefore it is an even function. The majority of functions are neither odd nor even, however, sine and tangent are odd functions and cosine is an even function.

7 0
4 years ago
Han has 10 cubes, each 5 inches on a side. A) Find the total volume of Han’s cubes. Express your answer as an expression using a
g100num [7]

Answer:

A) Vol_10_cubes  = 2*(5^4) inch^3

B) Area_10_cubes = (2^2)*3*(5^3)  inch^2

Step-by-step explanation:

A)The volume of a cube, as all sides are equal:

Vol_cube = (side)^3

side = 5 inches

Vol_cube  = 5^3 inch^3

Since we have 10 cubes

10 = 2*5

Vol_10_cubes  = 2*(5^4) inch^3

B) A cube has six faces, each with area equal to its squared side

Area_cube = 6*(side)^2

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Area_10_cubes = 2*5*6*(5)^2  inch^2

Area_10_cubes = (2^2)*3*(5)^3  inch^2

8 0
4 years ago
Evaluate each logarithm. Do not use a calculator. Log (125)(1/25)
svetlana [45]

Answer:

-2/3

Step-by-step explanation:

Log125(1/25)=x

Raise each side to the base of 125

125^Log125(1/25)=125^x

1/25 = 125^x

Rewrite 25 as a power of 5  and 125 as a power of 5

1 / 5^2 = 5^3^x

The if power is in the denominator, we can bring it to the numerator by making it negative

5^-2 = 5^3^x

We know that a^b^c = a^(b*c)

5^-2 = 5^(3*x)

Since the bases are the same, the exponents are the same

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Divide by 3

-2/3 = 3x/3

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6 0
3 years ago
victor has the map scale missing.he knows the distance from the lake to the youth center is 8 miles. on the map they are 2in. ap
kupik [55]
The <u>correct scale</u> is 1 in = 4 mi.

<u>Explanation</u>:

The scale tells us what a given measurement on the map equals in real-life distance.  

The measurement on the map that we have is 2 inches, and it equals 8 miles:

2 in = 8 mi

This can also be written as 2/8.  This fraction can be simplified, since both 2 and 8 are divisible by 2; it will simplify to 1/4.  This is the same as 
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