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NeTakaya
3 years ago
15

Sphere A has a radius of 24 centimeters, and sphere B has a diameter of 42 centimeters. The radius of sphere A is multiplied by

what factor to produce the radius of sphere B?
Mathematics
2 answers:
Naily [24]3 years ago
6 0
1.75 you just divide 42 with 24
WINSTONCH [101]3 years ago
3 0

Answer:

\frac{7}{8}

Step-by-step explanation:

We have been given that

Radius of A = 24 cm

And Diameter of sphere B = 42 cm.

We know that radius is half of the diameter.

Hence, radius of sphere B = 42/2 =21 cm

Let the radius of sphere A is multiplied by 'k' to produce the radius of sphere B.

Thus, we have

24k=21

Solve for k

k=\frac{21}{24}\\\\k=\frac{7}{8}

Therefore, radius of sphere A is multiplied by \frac{7}{8} to produce the radius of sphere B.

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The right triangle shown has angles X, Y, and Z and side lengths a, b, and
laiz [17]
So attached is a picture of the triangle you are talking about and listed under are the choices:

A.) Cos Z=b/c 
B.) Sin X=c/b 
C.) Tan X=b/a 
<span>D.) Tan Z=a/b
</span>
The answer would then be B. SinX = c/b.

Just remember SOH CAH TOA:

Sinθ=  Opposite         Cosθ =    Adjacent             Tanθ=   Opposite
         Hypotenuse                   Hypotenuse                        Adjacent

Using the triangle in the scenario, you just need to identify which side is which. 

Given m∠Z
Adjacent = b
Opposite = a
Hypotenuse = c

SinZ=  a         CosZ = b             TanZ= a 
            c                      c                        b

Given m∠X:

Adjacent = b
Opposite = a
Hypotenuse = c

SinX= <u> b </u>        CosX =<span><u> a </u></span>            TanX=<span><u> b </u></span>
            c                      c                        a

So the answer is B. 

Attached is a picture of how I assigned the sides depending on the angle used.

4 0
3 years ago
In a random sample of 205 people, 149 said that they watched educational television. Find the 95% confidence interval of the tru
tensa zangetsu [6.8K]

Answer: Given a sample of 200, we are 90% confident that the true proportion of people who watched educational TV is between 72.1% and 81.9%.

Step-by-step explanation:

\frac{154}{200} =0.77

1-0.77=0.23

\sqrt{\frac{(0.77)(0.23)}{200} }=0.049

0.77±0.049< 0.819, 0.721

6 0
3 years ago
What is 12 times the square root of 16?
Vesna [10]
The answer to this is 48
5 0
3 years ago
5 to the power of two
Maksim231197 [3]

Answer:

25

Step-by-step explanation:

5^2 = 25

5 * 5 = 25

6 0
3 years ago
Read 2 more answers
What is the greatest common factor of 3x^4, 15x^3", and 21x^2??
Umnica [9.8K]
Answer:3x^2 each coefficient is divisible by 3 and and you can take x^2 from both of them
5 0
3 years ago
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