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nadya68 [22]
3 years ago
15

By what factor is the volume of a right square pyramid multiplied if its height is multiplied by 8 but the dimensions of its bas

e are unchanged?
A. 1/16
B. 1/8
C. 4
D. 8
Mathematics
1 answer:
xeze [42]3 years ago
5 0
We have that 
the volume of a right square pyramid ---------- > (1/3)b²h

Let
V1------------ > initial volume
V1=(1/3)b²h

<span>if its height is multiplied by 8
</span>
V2=(1/3)b²(8h)-------------- > V2=V1*8

 therefore

the answer is the option D

the factor is is 8
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Find the measure of each of the angles. Don’t forget to label your answer
user100 [1]

Answer:

a=125^o

b=55^o

c=55^o

d=55^o

e=125^o

f=55^o

Step-by-step explanation:

step 1

Find the value of x

we know that

(2x+25)^o=(x+75)^o ----> by alternate interior angles

solve for x

Group terms

2x-x=75-25

x=50

step 2

Find the measure of angle a

we know that

a=(x+75)^o ----> by vertical angles

substitute the value of x

a=(50+75)=125^o

step 3

Find the measure of angle b

we know that

a+b=180^o ----> by supplementary angles (form a linear pair)

we have

a=125^o

substitute

125^o+b=180^o

b=180^o-125^o=55^o

step 4

Find the measure of angle c

we know that

c=b ----> by vertical angles

we have

b=55^o

therefore

c=55^o

step 5

Find the measure of angle d

we know that

d=b ----> by corresponding angles

we have

b=55^o

therefore

d=55^o

step 6

Find the measure of angle e

we know that

e=a ----> by alternate exterior angles

we have

a=125^o

therefore

e=125^o

step 7

Find the measure of angle f

we know that

f=d ----> by vertical angles

we have

d=55^o

therefore

f=55^o

4 0
3 years ago
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6 0
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Feliz [49]

Answer:

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Step-by-step explanation:

Number of sweet that Sekhar had = x

Sweets given to Renu = (1/4) of x = \frac{1}{4}x

Sweets given to Raji = 5

Remaining sweets = 7

x = \frac{1}{4}x +5 + 7\\\\x -\frac{1}{4}x = 12\\\\\frac{4*x}{1*4}x-\frac{1}{4}x = 12\\\\\frac{4x}{4}-\frac{1}{4}x= 12\\\\\frac{3x}{4}=12\\\\x = 12*\frac{4}{3}\\\\x=4*4\\\\x=16

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Answer:

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Step-by-step explanation:

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1 year ago
What is the MAD of the data set?<br><br> {10, 9, 16, 5, 10}
Oksanka [162]
First, you'd find the mean of all the numbers by doing 10+9+16+5+10 = 50/5 = 10. Second, you'd subtract all values from the mean by doing 
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<span>10 - 5 = 5
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5 0
3 years ago
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