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quester [9]
3 years ago
10

A prism with a base area of 8 cm² and a height of 6 cm is dilated by a factor of 5/4 .

Mathematics
2 answers:
Andrei [34K]3 years ago
8 0
The volume of the original prism is calculated by multiplying the area of the base by the height,
                               volume = (8 cm²)(6 cm) = 48 cm³
By the word dilated we mean to say that the dimensions of the new prism is 5/4 times that of the original solid. If we let x be the volume of the new solid,
                           x / 48 cm³ = (5/4)³
The value of x from the equation above is equal to 93.75 cm³. 
hjlf3 years ago
5 0

Answer:

93.75 cm cubed

Step-by-step explanation:

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A distribution has a mean of 16 and a standard deviation of 6. What is the Z score that corresponds with 34?
Brrunno [24]

Answer:

Z = 3

Step-by-step explanation:

In a normal distribution, the Z score that corresponds with a data point x is calculated using the formula;

Z=\frac{x-mean}{standard deviation}

For the case given, the z score will be;

Z=\frac{34-16}{6}=3

7 0
3 years ago
Find the lateral area of the prism.<br> 4cm<br> 3cm <br> 6cm<br> 5cm<br> Lateral Area = [?]cm2
kolbaska11 [484]

Answer:

The lateral surface area of a prism is the sum of the surface areas of the sides of the prism.

Since the bases of the prism are triangles, there are three sides. The area of each lateral is the product of a side of the triangle times the height of the prism.

We can express this as Lateral Surface Area LSA = (s1xh) + (s2xh) + (s3+h), where "s1, s2, s3" are the lengths of the sides of the triangle and "h" is the height of the prism.

We can factor out "h" to get LSA = hx(s1+s2+s3) where the factor "s1+s2+s3" is the perimeter of the triangle.

Solving for "h", we get h = LSA / (s1+s2+s3)

For your specific problem, h = 300 / (4 + 5 + 6) = 300 / 15 = 20

4 0
2 years ago
What is <br> -3x+2c=-3,for x
patriot [66]
X = 2/3c -1 ...........
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3 years ago
Pleas e help me quickly !!
Dominik [7]

Answer:

100

Step-by-step explanation:

Just so you know, there is a thing called calculator

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photoshop1234 [79]

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.

The correct option is A.

<h3>What is a line?</h3>

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.

The slope of the parallel line is always equal. Given the slope of the green line is -3/7, also, it is parallel to the red line. Therefore, the slope of the red line is -3/7.

Hence, the correct option is A.

Learn more about Line:

brainly.com/question/21511618

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8 0
2 years ago
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