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3 years ago

Help meeee 15 points

Mathematics

1 answer:

love history [14]3 years ago

6 0

Answer:

2700

Step-by-step explanation:

the formula is pi r squared, so if r is 30(diameter/2),

and 2700 is the closest to the answer

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Which line has a constant of proportionality between y and x of 1/2?

Gnesinka [82]

Answer:

It's line C.

Step-by-step explanation:

the slope of line C is 1/2 so that's the constant of proportionality

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3 years ago

Hello please help i’ll give brainliest

ira [324]

Answer:

landslide

Step-by-step explanation:

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3 years ago

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Ginger spent $24 at the fair, which was three times the amount she spent last year at the fair. How much money did Ginger spend

zubka84 [21]

Answer:

She spent 8 dollars.

Step-by-step explanation:

24 divided by 3 is 8

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3 years ago

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:

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

7 0

2 years ago

How much will you have in 36 months if you invest $75 a month at 10% annual interest?

marta [7]

Answer:

2970

Step-by-step explanation:

2700+ 270

270 because that is 10% of 2700

2700 because that is 75 x 36

8 0

3 years ago