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2 years ago

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A rectangular prism has a base with a length of 25, a width of 9, and a height of 12. A secod prism has a square base with a sid

e of 15. If the volumd of the two prisms are equal, what is the height of the second prism?

1 answer:

Alenkinab [10]2 years ago

7 0

Answer:

6cm

Step-by-step explanation:

correct for 100 points i swear

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Ln a+3 + ln a-3 = ln 16

Lilit [14]

$\bf log_{{ a}}(xy)\implies log_{{ a}}(x)+log_{{ a}}(y)\\\\
and\qquad \textit{difference of squares}
\\ \quad \\
(a-b)(a+b) = a^2-b^2\qquad \qquad 
a^2-b^2 = (a-b)(a+b)\\\\
-----------------------------\\\\
ln(a+3)+ln(a-3)=ln(16)\implies ln[(a+3)(a-3)]=ln(16)
\\\\\\
ln[a^2-3^2]=ln(16)\impliedby \textit{removing ln() from both sides}
\\\\\\
a^2-9=16\implies a^2=16+9\implies a^2=25
\\\\\\
a=\pm\sqrt{25}\implies a=\pm 5$

7 0

3 years ago

Solve for W: P=2L + 2W<br><br>A. W=P-L<br>B. W= 1/2P - L<br>C. W= 1/2 P + L<br>D. W= 2P - L

svetlana [45]

Answer:

B

Step-by-step explanation:

$P=2L+2W$

$P-2L=2W$ (Subtract 2L from both sides of the equation)

$2W=P-2L$ (Symmetric Property of Equality)

$W=\frac{P-2L}{2}$ (Divide both sides of the equation by 2)

$W=\frac{P}{2} -\frac{2L}{2}$ ("Split" the fractions)

$W=\frac{1}{2}P-L$ (Simplify)

Hope this helps!

4 0

2 years ago

What is the percent of the discount for a $60 item that sells for $45?

goblinko [34]

Answer:

75%

Step-by-step explanation:

45/60 x X/100

45x100

4500/60

75%

4 0

3 years ago

Help pls its too hard

damaskus [11]

Answer:

3/4 cups of coconut oil.

Step-by-step explanation:

1/3 * 3 = 3/3 = 1

1/4 * 3 = 3/4

So it would be

3/4

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2 years ago

Arianna gathered data about the distance of 20 cities from the equator and the average hours of sunlight per day in December for

stich3 [128]

<u>Answer-</u>

<em>A. strong negative correlation.</em>

<u>Solution-</u>

<u>Direction of a relationship</u>

Positive- If one variable increases, the other tends to also increase. If one decreases, the other tends to also. It is represented by positive numbers(i.e 0 to 1).
Negative- If one variable increases, the other tends to decrease, and vice-versa. It is represented by negative numbers(i.e 0 to -1)

<u>Strength of a relationship</u>

Perfect Relationship- When two variables are linearly related, the correlation coefficient is either 1 or -1. They are said to be perfectly linearly related, either positively or negatively.
No relationship- When two variables have no relationship at all, their correlation is 0.

As in this case, correlation coefficient was found to be -0.91, which is negative and close to -1, so it is a strong negative correlation.

5 0

3 years ago