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Juli2301 [7.4K]
3 years ago
7

Use the volume formula to find the volume of the prism. 31 / 를 13 4

Mathematics
2 answers:
mihalych1998 [28]3 years ago
6 0

Answer:

3 \div 2 \times 7 \div 2 \times 4 \div 1

21 \div 4 \times 4 \div 1

So the correct ans. Is 21

zhenek [66]3 years ago
3 0

i know its 21

i took quiz

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a circle has a center (3,5) and a diameter AB. The coordinates of A are (-4,6). what are the coordinates of B?
Kruka [31]
Find the length of the radius.

r= \sqrt{(3-(-4))^2+(5-6)^2}
\\r =  \sqrt{7^2+(-1)^2}
\\r= \sqrt{50} 
\\  r=5 \sqrt{2}

Find the length of the diameter.

d = 2r = 2 × 5√2 = 10√2

Point B must lie on a line AC, where C is a center of a circle.
Find equation of line AC.
A(–4, 6), C(3, 5)

y-y_1= \frac{y_2-y_1}{x_2-x_1}(x-x_1)
\\y-6= \frac{5-6}{3-(-4)}  (x-(-4))
\\y-6=- \frac{1}{7} (x+4)
\\7y-42=-x-4
\\x+7y-38=0 

The distance from B(x, y) to C(3, 5) is 5√2.
\sqrt{(x-3)^2+(y-5)^2}=5 \sqrt{2} 
 \\(x-3)^2+(y-5)^2=(5 \sqrt{2})^2 
\\(x-3)^2+(y-5)^2=50

Solve system of equations.
x+7y-38=0
\\(x-3)^2+(y-5)^2=50
\\
\\x=38-7y
\\(38-7y-3)^2+(y-5)^2=50
\\(35-7y)^2+(y-5)^2=50
\\1225-490y+49y^2+y^2-10y+25-50=0
\\50y^2-500y+1200=0
\\y^2-10y+24=0
\\y^2-6y-4y+24=0
\\y(y-6)-4(y-6)=0 \\(y-6)(y-4)=0 \\y_1=6,y_2=4


x_1=38-7y_1=38-7 \times 6 = 38-42=-4
\\x_2=38-7y_2=38-7 \times 4 = 38-28=10


Point B could have coordinates
\\
\\(x_1,y_1)=(-4,6),(x_2,y_2)=(10,4)


But (–4, 6) are the coordinates of point A.
Therefore, point B has coordinates (10,4).
8 0
3 years ago
Ann works at a store in the mall and earns a wage of 8 dollars an hour. She earns 10 dollars an hour is she works on the weekend
soldier1979 [14.2K]

Answer:

The Answer is $352

Step-by-step explanation:

8 times 24 = 192

10 times 16 = 160

192 + 160 = 352

6 0
3 years ago
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For every meter there are 3.281 feet. The perimeter of the yard is 188ft. Divide 188 by 3.281 and you get 57.3 (rounded to 1dp). Round that<em> up</em> to the nearest meter and you get 58. So, Mr Smith needs 58 meters of fencing for his yard.

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1 year ago
__ : 14 = 54 : 63<br> What is the relationship
mina [271]
12

63÷14=4.5
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What is the y-intercept and Slope?
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The Y intercept is 0, and the Slope is 1
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