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3 years ago

10

Which is the approximate circumference of a circle with a diameter of 60 cm?

1 answer:

Dima020 [189]3 years ago

8 0

The circumference is the diameter times pi.

$d=60 \ [cm] \\ \\
C=60\pi \approx 60 \times 3.14=188.4 \approx 188 \ [cm]$

The answer is D.

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What is the product of all constants $k$ such that the quadratic $x^2 + kx +15$ can be factored in the form $(x+a)(x+b)$, where

Setler79 [48]

Answer:

$k=-16,k=-8,k=8,k=16$

Step-by-step explanation:

We are given quadratic equations as

$x^2+kx+15$

and it can be factored as

$=(x+a)(x+b)$

now, we can multiply factor term

$(x+a)(x+b)=x^2+(a+b)x+ab$

now, we can compare

$x^2+(a+b)x+ab=x^2+kx+15$

so, we get

$k=a+b$

$ab=15$

we are given that

'a' and 'b' are integers

so, we can find all possible factors

$15=(-1\times -15),(1\times 15)$

$15=(-3\times -5),(3\times 5)$

so, we can find k

At $(-1\times -15)$ :

$k=a+b$

we can plug values

$k=-1-15$

$k=-16$

At $(1\times 15)$ :

$k=a+b$

we can plug values

$k=1+15$

$k=16$

At $(-3\times -5)$ :

$k=a+b$

we can plug values

$k=-3-5$

$k=-8$

At $(3\times 5)$ :

$k=a+b$

we can plug values

$k=3+5$

$k=8$

So, values of k are

$k=-16,k=-8,k=8,k=16$

6 0

3 years ago

31,680 ft = mi<br> A. 6 <br> B. 18 <br> C. 60 <br> D. 2,640

Vlad1618 [11]

5280 feet = 1 mile
31,680 feet = x miles

31,680/5,280 = 6

31,680 feet = 6 miles.

Your answer is A. 6.

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2 years ago

I NEED IT<<< I WILL MAKE YOU THE BRAINLIEST IF YOU CAN HELP ME

erma4kov [3.2K]

Answer:$728

Step-by-step explanation:

$156,000 less 20% is $124,800.

That is the amount that is being financed. If the rate is7% per year the first months interest is:

124,800*.07/12 = $728

You didn't ask but if the mortgage is like most conventional mortgages the 30 * 12 = 360 payments are all approximately equal, with less money expended on paying down the principal at first. Their equal payment would be: $830.30

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3 years ago

Choose the best definition for the following term: exponent. (1 point) Shorthand that tells how many times the base is used as a

babunello [35]

An exponent is the number or value being raised to a power.

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2 years ago

Which geometric figures are drawn on the diagram?<br> Check all that apply.

Allisa [31]

Try adding a picture next time maybe...?

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