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Yanka [14]
2 years ago
13

1. Henri cut a rope into two pieces with lengths having a ratio of 5 to 2. The shorter piece is

Mathematics
1 answer:
ruslelena [56]2 years ago
8 0

The length of the shorter rope is 20 cm.

<h3>How to find the original length of the rope using ratio?</h3>

He cut a rope into two pieces with lengths having a ratio of 5 to 2.

The shorter piece is 70 cm long.

The length of the original rope can be calculated as follows:

The ratio of the length of the rope is as follows;

5 : 2

let

x = length of the original rope

Therefore,

length of shorter piece = 2 / 7 × 70

length of shorter piece = 2 / 7 × 70

length of shorter piece =  140 / 7

length of shorter piece = 20 cm

Therefore, the length of the shorter rope is 20 cm.

learn more on ratio here: brainly.com/question/15418103

#SPJ1

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Dmitrij [34]

Answer:

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Step-by-step explanation:

In order to solve this problem we must start by graphing the given function and finding the differential area we will use to set our integral up. (See attached picture).

The formula we will use for this problem is the following:

V=\int\limits^b_a {\pi r^{2}} \, dy

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so the volume becomes:

V=\int\limits^\frac{\pi}{3}_0 {\pi (3 sec(y))^{2}} \, dy

This can be simplified to:

V=\int\limits^\frac{\pi}{3}_0 {9\pi sec^{2}(y)} \, dy

and the integral can be rewritten like this:

V=9\pi\int\limits^\frac{\pi}{3}_0 {sec^{2}(y)} \, dy

which is a standard integral so we solve it to:

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so we get:

V=9\pi[tan \frac{\pi}{3} - tan 0]

which yields:

V=9\pi\sqrt{3}]

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3 years ago
Can y’all help me on question 23?!
Wittaler [7]

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schepotkina [342]

Answer:

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Step-by-step explanation:

Remember that you have to complete the equations in order of PEMDAS.

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For this equation, you would do 3×4 first (which equals 12) then divide that by -6 (Which equals - 2) and finally you would subtract that from 19. 19 - (-2)= 21

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3 years ago
Camila sets up a passcode on her tablet, which allows only nine-digit codes. A spy sneaks a look at Camila's tablet and sees her
laila [671]

Answer:

\frac{1}{10^9} probability the spy is able to unlock the tablet on his first try.

Step-by-step explanation:

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3 years ago
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Answer:

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A = 50W - W^2

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A = 1250 - 625

A = 625

3 0
3 years ago
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