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ANEK [815]
3 years ago
8

These prisms are similar. find the volume of the larger prism in decimal form. a=5 v=300 a=6 v=[?]

Mathematics
1 answer:
zepelin [54]3 years ago
4 0

Answer:

Step-by-step explanation:

When we divide congruent sides of similar solids or plane figures we get the linear scale factor.

The square of the linear scale factor gives the area scale factor while it's cube gives the volume scale factor.

In this question, the linear scale factor will be 6/5

since we are asked to find the volume we cube the linear scale factor.

 (6/5)³=216/125

to get the volume of the larger prism we multiply the volume of the smaller by the V.S.L as shown

(216/125)×300in³= 518.4in³

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Pls help me help me help me​
Ganezh [65]

Answer:

C. -3/2

Step-by-step explanation:

Perpendicular lines have negative reciprocal slopes.

We know that line <em>m </em>is perpendicular to line <em>l. </em>

Line <em>l </em>has a slope of 2/3. To find the slope of line <em>m, </em>find the negative reciprocal of 2/3.

Negative: switch the sign

2/3 --> -2/3

Reciprocal: switch the numerator (top number) and denominator (bottom number)

-2/3 --> -3/2

Line <em>m</em> has a slope of -3/2 and C is correct.

3 0
3 years ago
Read 2 more answers
8 is subtracted from one-fourth of n
snow_lady [41]
8-1/4n is the answer to this
7 0
3 years ago
WHAT TERM SHOULD BE ADDED TO CREATE A PERFECT SQUARE TRINOMIAL?
boyakko [2]
Answer: We should add the constant 81 to the expression to have a perfect square trinomial.

The perfect square trinomial that would be formed would result from (x + 9)^2.

We can use foil to prove it.

(x + 9)(x + 9)
x^2 + 9x + 9x + 81
x^2 + 18x + 81

81 is the value that must go with 18x in the middle to form the perfect square trinomial.
8 0
3 years ago
Approximate f by a Taylor polynomial with degree n at the number a. Step 1 The Taylor polynomial with degree n = 3 is T3(x) = f(
MAVERICK [17]

Answer:

If you center the series at x=1

T_3(x) = e^2 + 4e^2 (x-1)+10(x-1)^2 + \frac{56}{3} e^2(x-1)^3 + R(x)

Where R(x) is the error.

Step-by-step explanation:

From the information given we know that

f(x) = e^{2x^2}

f'(x) = 4x e^{2x^2}   (This comes from the chain rule )

f^{(2)}(x) = 4e^{2x^2} (4x^2+1)   (This comes from the chain rule and the product rule)

f^{(3)}(x) = 16xe^{2x^2}(4x^2 + 3)  (This comes from the chain rule and the product rule)

If you center the series at x=1  then

T_3(x) = e^2 + 4e^2 (x-1)+10(x-1)^2 + \frac{56}{3} e^2(x-1)^3 + R(x)

Where R(x) is the error.

3 0
3 years ago
Write the equation of a line in Slope Intercept Form that passes through (−2,3) and has a slope m=4.
Vladimir [108]

The slope is already given in the question so we can find the y-intercept.

Slope-intercept form: y = mx + b

3 = 4(-2) + b

3 = -8 + b

3 + 8 = -8 + b + 8

11 = b

Now, we can write the equation.

y = 4x + 11

Best of Luck!

4 0
3 years ago
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