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3 years ago

Find the volume of the prism.

Mathematics

1 answer:

Alex_Xolod [135]3 years ago

3 0

Answer:

102

Step-by-step explanation:

first you have to multiply 8 by 12 and then add the some with the leftover number

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What is the area of the enlarged trapezoid?

ludmilkaskok [199]

1.5 but I could be wrong I would double check

6 0

3 years ago

How do I solve for X?

elena-s [515]

The distance from the external point ^2 = The external segment of the secant * the full length of the secant.
tangent distance = 6
External portion of the secant = 3
Full length of the secant = x + 3

6^2 = 3*(x + 3) Remove the brackets.
36 = 3x + 9 Subtract 9 from both sides.
36 - 9 = 3x
27 = 3x Divide by 3
x = 9 <<<<<<<Answer.

7 0

3 years ago

Evaluate : \(\cos 12 \cos 24 \cos 36 \cos 48 \cos 72 \cos 84\)

NeTakaya

The answer in itself is 1/128 and here is the procedure to prove it:
cos(A)*cos(60+A)*cos(60-A) = cos(A)*(cos²60 - sin²A)

= cos(A)*{(1/4) - 1 + cos²A} = cos(A)*(cos²A - 3/4) 

= (1/4){4cos^3(A) - 3cos(A)} = (1/4)*cos(3A) 

Now we group applying what we see above

cos(12)*cos(48)*cos(72) = 
=cos(12)*cos(60-12)*cos(60+12) = (1/4)cos(36) 

Similarly, cos(24)*cos(36)*cos(84) = (1/4)cos(72) 

Now the given expression is: 

= (1/4)cos(36)*(1/4)*cos(72)*cos(60) = 

= (1/16)*(1/2)*{(√5 + 1)/4}*{(√5 - 1)/4} [cos(60) = 1/2; 
cos(36) = (√5 + 1)/4 and cos(72) = cos(90-18) = 
= sin(18) = (√5 - 1)/4] 
And we seimplify it and it goes: (1/512)*(5-1) = 1/128

4 0

3 years ago

a chef made two batches of soup. While making the first batch, he added 1/8 teaspoon of salt, tasted it, and then added another

barxatty [35]

Answer:

20 teaspoons

Per batch amounts:

Salt = 15/3 = 5 teaspoons

garlic powder = 6/3 = 2 teaspoons

8 teaspoons of garlic powder number of batches:

8/2 = 4 batches

4 batches of salt

4 * 5 = 20 teaspoons

Step-by-step explanation:

Hope this helps:) Also hi lofi girl nice to meet you lol

7 0

3 years ago

Find the interquartile range for a data set having the five-number summary: 3.4, 10.8, 16.7, 23.1, 31.5

natita [175]

.Answer:

D. 12.3

Step-by-step explanation:

Arrange the data in increasing order

3.4, 10.8, 16.7, 23.1, 31.5

⇒This is an odd set of numbers, to find the interquartile range you include the median in both quartiles.

Locate the median/center value

3.4, 10.8, 16.7, 23.1, 31.5

Find lower half and find the median

lower half values⇒3.4, 10.8, 16.7

Median=Q1=10.8

Find the upper half and find

upper half= 16.7,23.1, 31.5

median= 16.7,23.1,31.5

Q3=23.1

Interquartile range=Q3-Q1

23.1-10.8=12.3

5 0

3 years ago