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2 years ago

5

Meghan reduced the size of a rectangle to a height of 2 inches. What is the new width if it was originally 24 inches wide and 12

inches tall?

1 answer:

Zigmanuir [339]2 years ago

3 0

Answer:

Step-by-step explanation:

2/12 = 1/6

24 * 1/6 = 4

or

12/24 = 2/x

12 x = 48

x = 4

or the original width was twice the length

twice 2 is 4

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If a = pi +3j - 7k, b = pi - pj +4k and the angle between a and is acute then the possible values for p are given by

PIT_PIT [208]

Answer:

The family of possible values for $p$ are:

$(-\infty, -4) \,\cup \,(7, +\infty)$

Step-by-step explanation:

By Linear Algebra, we can calculate the angle by definition of dot product:

$\cos \theta = \frac{\vec a\,\bullet\,\vec b}{\|\vec a\|\cdot \|\vec b\|}$ (1)

Where:

$\theta$ - Angle between vectors, in sexagesimal degrees.

$\|\vec a\|, \|\vec b \|$ - Norms of vectors $\vec {a}$ and $\vec{b}$

If $\theta$ is acute, then the cosine function is bounded between 0 a 1 and if we know that $\vec {a} = (p, 3, -7)$ and $\vec {b} = (p, -p, 4)$ , then the possible values for $p$ are:

Minimum ( $\cos \theta = 0$ )

$\frac{p^{2}-3\cdot p -28}{\sqrt{p^{2}+58}\cdot \sqrt{2\cdot p^{2}+16}} > 0$

Maximum ( $\cos \theta = 1$ )

$\frac{p^{2}-3\cdot p -28}{\sqrt{p^{2}+58}\cdot \sqrt{2\cdot p^{2}+16}} < 1$

With the help of a graphing tool we get the family of possible values for $p$ are:

$(-\infty, -4) \,\cup \,(7, +\infty)$

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2 years ago

the ratio of the number of adults to the number of students at the prom has to be 1:10. Last year there were 450 more students t

Lisa [10]

Answer:

about 48 adults , because you have to divide the 477 by 10

Step-by-step explanation:

I got this question on my test and i chose this and i got it right.

I hope this helps!! :)

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2 years ago

In the garden, the ratio of roses to daisies is 1:3. There are 8 roses. How many daisies are there.

ivann1987 [24]

24 daises is the answer because if there is 8 roses and the ratio is 1:3 then you would multiply 8 by 3 to solve.

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3 years ago

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mestny [16]

Answer:

Here is one :)

x - 12 = - 8

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2 years ago

Please help with this math question!

alisha [4.7K]

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2 years ago