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Aleonysh [2.5K]
4 years ago
9

What is the length of s? Show your work.

Mathematics
1 answer:
Pavlova-9 [17]4 years ago
6 0

A side of right triangle lying against an angle of 30 degrees is equal to half of the hypotenuse, so

s=4×2=8

Answer: s=8

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Find the angular speed of a turning gear if 12.5 revolutions are completed in 8 seconds.
evablogger [386]
(12.5*2*Pi) / 8 = 3.125*Pi [1/s]
6 0
3 years ago
QUESTION 3 Toyota provides an option of a sunroof and side airbag package for its Corolla model. This package costs $1400. Assum
Orlov [11]

Answer:

n=601

Step-by-step explanation:

Formula used:

n=z(\frac{\alpha }{2})^2\frac{p(1-p) }{E^2}

Solution:

n=z(\frac{\alpha }{2})^2\frac{p(1-p) }{E^2}

Where,

\frac{\alpha }{2}=0.025

As there is no previous estimate for p

Then, p=0.5

Here on using the table

z(\frac{\alpha }{2}) =1.959963985

Also,

E=0.04

p=0.5

Thus,

n=600.2279407

On approximating the value,

n=601

6 0
3 years ago
you have a piece of wood that is 72 inches long u cut the wood into three pieces the second piece is 6 inches longer than the fi
tangare [24]

Let

x---------> the length of the first piece

y---------> the length of the second piece

z---------> the length of the third piece

we know that

x+y+z=72 -------> equation 1

y=x+6 -----> solve for x

x=y-6 -------> equation 2

z=6+y -------> equation 3

substitute equation 2 and equation 3 in equation 1

[y-6]+y+[6+y]=72

3y=72

y=(72/3)=24 in

<u>Find the value of x</u>

x=y-6 -------> equation 2

x=24-6=18 in

<u>Find the value of z</u>

z=6+y -------> equation 3

z=6+24=30 in

therefore

<u>the answer is</u>

the length of the first piece is 18 in

the length of the second piece 24 in

the length of the third piece is 30 in

7 0
3 years ago
I just need help with this
Alexxx [7]

Answer:

z = 4.5

Step-by-step explanation:

∠B = ∠B      ∠BAD = 90° - ∠B = ∠C

ΔBAD ~ ΔBCA

AB / z = BD / AB

z = AB * AB / BD = 3*3 / 2 = 4.5

3 0
3 years ago
Find the sum and express it in simplest form (6u-7c-6)+(-2u+4c)
Daniel [21]
4u+3c-6 is thats what its asking for? just puting the same variables together
4 0
3 years ago
Read 2 more answers
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