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3 years ago

A pole casts a shadow that is 15 feet long.A 6 foot tall man casts a showdown that is 5 feet long.find the height of the pole

Mathematics

1 answer:

lutik1710 [3]3 years ago

5 0

Answer:

Step-by-step explanation:

If the man casts a shadow that is one foot shorter than he is then the height of the pole will be one foot taller than its shadow. This means the height of the pole is one foot more than 15 feet.

The pole is 16 feet tall.

Hope this helps!

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What is 2 ( c + 1) - 6 = 8

Elodia [21]

Answer:

x = 6

Whole equation: 2 ( 6 + 1 ) - 6 = 8

Step-by-step explanation:

2 ( c + 1 ) - 6 = 8

2c + 2 - 6 = 8

2c - 4 = 8

+4 +4

2c = 12

2 2

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3 years ago

Flying with the wind, a plate went 251 km/h. Flying into the same wind, the plane only went 219 km/h. What is the speed of the w

Dennis_Churaev [7]

Answer: Option D, the actual speed of the wind is 16km/h.

Step-by-step explanation:

Let's define two quantities:

Sp = Speed of the plane, that we assume it is constant.

Sw = Speed of the wind, that we assume it is constant.

When the plane flies with the wind, the total speed will be

Sp + Sw = 251km/h.

When the plane flies against the wind, the total speed will be:

Sp - Sw = 219km/h.

Then we have two equations:

Sp + Sw = 251km/h

Sp - Sw = 219km/h.

We want to find the speed of the wind, so we should isolate the speed of the plane in one of the equations, let's isolate it in the second equation:

Sp = 219km/h + Sw.

Now we can replace this into the other equation:

Sp + Sw = 251km/h.

(219km/h + Sw) + Sw = 251km/h.

2*Sw + 219km/h = 251km/h

2*Sw = 251km/h - 219km/h = 32km/h

Sw = (32km/h)/2 = 16km/h.

This is really close to the option B, but is not equal, so the correct answer will be D, none of the above.

6 0

2 years ago

Suppose j varies jointly with g and v, and j=2 when g=4 and v=3. Find j when g=8 and v=9.

vladimir2022 [97]

Answer:

$j=12$

Step-by-step explanation:

we know that

In a join variation, If j varies jointly with respect to g and v, the equation will be of the form $j = kgv$

where k is a constant

step 1

Find the value of k

we have

j=2,g=4,v=3

substitute and solve for k

$2 = k(4)(3)$

$2 = 12k$

$k=\frac{1}{6}$

The equation is equal to

$j=\frac{1}{6}gv$

step 2

Find the value of j when g=8,v=9

substitute the values in the equation and solve for j

$j=\frac{1}{6}(8)(9)$

$j=12$

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Answer:

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Step-by-step explanation:

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