Approximate the number 32 to the nearest hundreth
1 answer:
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Answer:
hypotenuse = 13.0 cm
Step-by-step explanation:
Given the dimensions of a right triangle whose legs have measures of 13 cm and 1 cm, we can use the Pythagorean Theorem to find the measure of the triangle's hypotenuse.
The <u>Pythagorean Theorem</u> states that the squared measure of a right triangle's hypotenuse is equal to the sum of the squared lengths of its legs. In other words:
Pythagorean Theorem: c² = a² + b²
Let c = hypotenuse
a = Leg₁ = 1 cm
b = Leg₂ = 13 cm
Substitute these values into the given formula to find the measure of the hypotenuse, c:
c² = a² + b²
c² = ( 1 )² + (13)²
c² = 1 + 169
c² = 170
Next, take the square root of c² and 170 to isolate c:
c = 13.04 or 13.0 cm
Therefore, the length of the hypotenuse is 13.0 cm.
We want to cut pieces of length:
from 35 metal rods each 40in long, and we want to know how many we can cut.
In order to answer the question, we must compute the number of pieces that we can cut from each metal rod, and then multiply the result by the number of metal rods. Let's do that!
1) From each metal rod we can cut:
2) We have 35 metal rods, so the total number of pieces of 6 1/4 in that we can cut is:
Answer
We can cut 210 pieces from the 35 metal rods.
Remark: we see that by cutting the pieces we will have a waste of metal from each rod.
Answer:
See the calculation below
Step-by-step explanation: