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3 years ago

Help me someone please my teacher needs this soon or I’m going to fail school

Mathematics

2 answers:

Naddik [55]3 years ago

4 0

Answer:

A. 9π/3 · 2

Step-by-step explanation:

<u>Use the equation of circumference and substitute the value of radius:</u>

C = 2πr

C = 2π*3 = 6π inches

<u>Compare the answer choices to find the correct one, which is:</u>

9π/3 · 2 = 3π · 2 = 6π

Gnesinka [82]3 years ago

4 0

Radius=3in

$\\ \sf\longmapsto Circumference=2\pi r$

$\\ \sf\longmapsto Circumference=2(3)(π)=6\pi$

Now

Check 1st option

$\\ \sf\longmapsto \dfrac{9\pi}{3}.2=6\pi$

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Take the root of both sides and solve.

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3 years ago

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2 years ago

Can someone help me please.

wolverine [178]

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Answer:

$a=\sqrt{33}$

Step-by-step explanation:

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5 0

3 years ago

What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (−3, 1)?

UkoKoshka [18]

The equation of the line parallel to given line and passing through (-3, 1) will be y – 1 = (3/2)(x + 3). Then the correct option is D.

<h3>What is the equation of line?</h3>

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

The slope of the parallel lines are equal.

m = (2 + 4) / (2 + 2)

m = 6/4

m = 3/2

Then the equation of the line will be

y = (3/2)x + c

The line is passing through (-3, 1). Then the value of c will be

1 = (3/2)(-3) + c

c = 9/2 + 1

Then the equation will be

y = (3/2)x + 9/2 + 1

y – 1 = (3/2)(x + 3)

Then the correct option is D.

More about the equation of line link is given below.

brainly.com/question/21511618

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2 years ago

A person borrows $10,000 and repays the loan at the rate of $2,400 per year. The lender charges interest of 10% per year. Assumi

omeli [17]

Answer:

a) $M(t)=24000-14000e^{t/10}$

b) It takes 5.390 years to pay off the loan.

Step-by-step explanation:

(a) The differential equation for the variation in the amount of the loan M is

$\frac{dM}{dt}=0.1M-2400$

We can express this equation as:

$\frac{dM}{dt}=0.1M-2400\\\\10\int \frac{dM}{M-24000} =\int dt\\\\10ln(M-24000)=t\\\\M-24000=Ce^{t/10}\\\\M=Ce^{t/10}+24000\\\\M(0)=Ce^{0/10}+24000=10000\\\\C+24000=10000\\\\C=-14000\\\\M(t)=24000-14000e^{t/10}$

(b) We can calculate this as M(t)=0

$M(t)=24000-14000e^{t/10}=0\\\\e^{t/10}=24000/14000=1.714\\\\t=10ln(1.714)=10* 0.5390=5.390$

It takes 5.390 years to pay off the loan.

8 0

3 years ago