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AlekseyPX
3 years ago
5

What dimensions would you need to measure the volume of the following prism?

Mathematics
1 answer:
Marizza181 [45]3 years ago
7 0

Answer:

Area of the right triangular base = ½*base*height of the triangle. Therefore, the dimensions needed to find the volume of the prism are: "base of the triangle, height of the triangle, and height of the prism.

Step-by-step explanation:

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Solve the equation for a.
Pavel [41]

Answer:

\large\boxed{a=\dfrac{K}{4+9b}}

Step-by-step explanation:

K=4a+9ab\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\K=a(4+9b)\qquad\text{divide both sides by}\ (4+9b)\neq0\\\\\dfrac{K}{(4+9b)}=\dfrac{a(4+9b)}{(4+9b)}\\\\\dfrac{K}{4+9b}=a

6 0
3 years ago
Read 2 more answers
Es of two children are 11 and 8 years.
nikdorinn [45]

Answer:

<em>In 5 years the product of their ages will be 208</em>

Step-by-step explanation:

The age of two children is 11 and 8 years.

Let's call x the number of years ahead.

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(11+x)(8+x)=208

Operating:

88+11x+8x+x^2=208

Simplifying:

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Factoring:

(x-5)(x+24)=0

Solving:

x=5, x=-24

The negative solution is not valid, thus x=5

In 5 years the product of their ages will be 208

3 0
2 years ago
Find the slope and the y-intercept for y=-5x
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3 years ago
I need some help with this calculus 1 implicit diffrention problem?
katen-ka-za [31]

Answer:

y" = -24 / y³

Step-by-step explanation:

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Take the derivative of both sides with respect to x.

12x + 2y y' = 0

Again, take the derivative of both sides with respect to x.

12 + 2y y" + y' (2y') = 0

12 + 2y y" + 2(y')² = 0

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2y y' = -12x

y' = -6x/y

Substitute and solve for y":

12 + 2y y" + 2(-6x/y)² = 0

12 + 2y y" + 2(36x²/y²) = 0

12 + 2y y" + 72x²/y² = 0

6y² + y³ y" + 36x² = 0

y³ y" = -36x² − 6y²

y" = (-36x² − 6y²) / y³

Solve for y² in the original equation and substitute:

y² = 4 − 6x²

y" = (-36x² − 6(4 − 6x²)) / y³

y" = (-36x² − 24 + 36x²) / y³

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7 0
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Mama L [17]
The answer would be 25%
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2 years ago
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