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3 years ago

A 27-foot pole casts a 25-foot shadow. At the same time, a nearby tower casts a 45-foot shadow. How tall is the tower?

Mathematics

1 answer:

abruzzese [7]3 years ago

8 0

Answer:

The answer to your question is: 48.6 ft

Step-by-step explanation:

See the picture below

Use the Thales's theorem to solve this exercise

x / 27 = 45 / 25

x = 45(27) / 25

x = 1215 / 25

x = 48.6 ft

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Marti is filling a 10– inch diameter ball with sand to make a medicine ball that can be used for exercising. To determine if the

Mice21 [21]

Answer:

Option A. $30\ pounds$

Step-by-step explanation:

step 1

Find the volume of the sphere ( medicine ball)

The volume is equal to

$V=\frac{4}{3}\pi r^{3}$

we have

$r=10/2=5\ in$ ----> the radius is half the diameter

Convert inches to feet

Remember that

1 ft=12 in

$r=5\ in=5/12\ ft$

assume

$\pi=3.14$

substitute

$V=\frac{4}{3}(3.14)(5/12)^{3}$

$V=0.3029\ ft^{3}$

step 2

Find the weight of the ball

Multiply the volume in cubic foot by 100

$0.3029*100=30.29\ pounds$

Round to the nearest pound

$30.29=30\ pounds$

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3 years ago

Find the value of k such that lim-->4 (x^2+x-k)/(x-4) exists

7nadin3 [17]

Answer:

k=20

Step-by-step explanation:

when x approaches 4, the denominator x-4 approaches 0

if the denominator is 0, it means that this is invalid

if the function is a number over 0 when x=4, it represents a vertical asymptote, which means no limit

so the only way possible to let there be a limit is to let the function be 0/0 when we plug in x=4

so x^2 + x - k = 0 when x = 4

4^2 + 4 - k = 0 ==> 20 - k = 0 ==> k = 20

6 0

2 years ago

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IrinaK [193]

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2 years ago

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ExtremeBDS [4]

Answer:

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Step-by-step explanation:

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2 years ago

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What is the 25% discount of $120 dollars?

Varvara68 [4.7K]

25% discount of $120
=100*0.25
=$25

3 0

3 years ago