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Studentka2010 [4]
3 years ago
12

Simplify the expression. (rt)^12

Mathematics
1 answer:
ch4aika [34]3 years ago
8 0

Answer: Your answer is r^12t^12

Step-by-step explanation: You use the distribution property.


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Tommy has a screw whose length is 4 cm and its thread length is 16 cm. What is the mechanical advantage of the screw?
Rus_ich [418]

Answer:

a screw is a simple machine that works as a modified inclined plane. You can think of the thread of the screw as an inclined plane wrapped around the shaft of the screw. The slope of the screw is the distance for one complete rotation while the height of the inclined plane is the distance between the threads, known as pitch. The relationship between the pitch and circumference of the screw gives the mechanical advantage.

7 0
2 years ago
The hypotenuse of a right triangle is 7 feet long. One leg is 4 feet longer than the other. Find the lengths of the legs, Round
Andrews [41]

Answer:

Shorter leg = 2.5 ft.

Longer leg = 6.5 ft.

Step-by-step explanation:

a^2 + b^2 = c^2

Because the hypotenuse = 7 ft, a^2 + b^2 = 49

To represent the two legs, we can use x and x+4.

x^2 + (x+4)^2 = 49

Simplifying this equation using FOIL gives us 2x^2 + 8x - 33 = 0.

Then, using the quadratic formula, we find that x = 2.5.

Thus, the shorter leg is 2.5 ft. and, when 4 is added, the longer leg is 6.5 ft.

5 0
3 years ago
A carpenter bought 750 nails. Each nail has a mass of 5.2×10−3 kilogram. What is the total mass, in kilograms, of the nails the
lawyer [7]

The total mass, in kilograms, of the nails the carpenter bought is 3.9 kilogram

<h3><u>Solution:</u></h3>

Given that carpenter bought 750 nails

Each nail has a mass of 5.2 \times 10^{-3} kilogram

To find: total mass, in kilograms of the nails bought

The total mass of the nails bought can be found out by multiplying number of nails bought by mass of each nail

Number of nails bought = 750

Mass of each nail = 5.2 \times 10^{-3} kilogram

total mass of the nails bought = number of nails bought x mass of each nail

\text {total mass of the nails bought }=750 \times 5.2 \times 10^{-3}

\text {total mass of the nails bought }=3900 \times 10^{-3}=\frac{3900}{1000}=3.9

Thus the total mass of nails bought is 3.9 kilogram

4 0
3 years ago
Metric mania <br> How many shoes would it take to make 1 kilometer
Lady_Fox [76]

Answer:

Well since my shoe is 8.5 inches, you will take 4 whole shoes to make a meter. Therefore, you will have to take 4,000 shoes to make a kilometer because 1 kilometer=1000. (:

Step-by-step explanation:

4 0
3 years ago
you can type 250 characters in 60 seconds your friend can type 375 characters in 90 seconds do these ratios form a proportion
kykrilka [37]

Answer:

see the explanation below

Step-by-step explanation:

you can type 250 characters in 60 seconds your friend can type 375 characters in 90 seconds do these ratios form a proportion

Given data

you can type 250 characters in 60 seconds

your typing speed = 250/60

= 4.16 characters per seconds

your friend can type 375 characters in 90 seconds

your friends typing speed is

= 375/90

= 4.16 characters per seconds

Since both typing speeds corresponds, hence the ratios are proportional

5 0
3 years ago
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