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4 years ago

Which equation shows how to determine the volume of the dollhouse?

Mathematics

1 answer:

777dan777 [17]4 years ago

7 0

Answer:

first choice

Step-by-step explanation:

The volume of a rectangular prism is L*H*B.

So the volume of the rectangular prism pictured here is 24*10*8

The volume of a triangle prism is 1/2 *H*L*B.

So the volume of the triangle prism pictured here is 1/2 *6*24*8

The volume of the whole figure is the sum of the volume of the rectangular prism and volume of the triangular prism which is in this case:

24*10*8 + 1/2 *6*24*8.

Answer is the first choice.

(It wouldn't be third because 10 has nothing to with the triangular prism part)

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The vertices of triangle PQR are given in the standard (x,y) coordinate plane below. What is the area, in the square coordinate

alekssr [168]

Answer:

Area = 12

Step-by-step explanation:

Given

See attachment

Required

Area of $\triangle PQR$

From the attached image, we have:

$P = (6,10)$

$Q = (10,8)$

$R = (6,4)$

The area is then calculated as:

$A = \frac{1}{2}|(x1y2 - x2y1) + (x2y3 - x3y2) + (x3y1 - x1y3)|$

So, we have:

$A = \frac{1}{2}|(6*8 - 10*10) + (10*4 - 6*8) + (6*10 - 6*4)|$

Using a calculator:

$A = \frac{1}{2}|-24|$

Remove absolute bracket

$A = \frac{1}{2} * 24$

$A = 12$

8 0

3 years ago

Extremely confused please help asap

arlik [135]

I hope this helps you

7.log2 (x)=15.log2 (2)

log2 (x)^7=log2 (2)^15

x^7=2^15

(x^7)^1/7=(2^15)^1/7

x=2^15/7

5 0

4 years ago

Solve this equation for x. Round your answer to the nearest hundredth. 0.58=log x

FromTheMoon [43]

The logarithm and the exponential are inverse function:

$\log(e^x)=e^{\log(x)}=x$

So, we have

$0.58=\log(x)\iff e^{0.58}=e^{\log(x)}=x$

And so in particular we have

$x=e^{0.58}\approx 1.79$

5 0

3 years ago

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Answer:

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3 years ago

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3 years ago

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