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3 years ago

The perimeter of the triangle shown is 32 ft what is the value of x

Mathematics

1 answer:

dolphi86 [110]3 years ago

3 0

Where's X located at on the triangle
side a
side b
side c

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An ice cream cone has a diameter of 3 inches.The distance from the top of the cone to the point at the bottom (height) is 5 inch

solong [7]

Answer:

11.781 cubic inches (round accordingly)

Step-by-step explanation:

The formula for the volume of a cone is:

$V=\frac{1}{3}\pi r^{2} h$

where r is the radius and h is the height.

For our ice cream cone:

d = 3 inches

r = 1.5 inches (the radius is half of the diameter)

h= 5 inches

So all we have to do is plug in our values and solve for the volume:

$\frac{1}{3}\pi (1.5)^{2}(5) = 11.781$

So our final answer is around 11.8 cubic inches.

3 0

3 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

Complete the equation of the line through (−10,3) and (-8,-8)

yawa3891 [41]

Answer: y = (-11/2)x -52

Aka y=mx*b

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

The ordered pair of (3,-2) would be located in which quadrant

agasfer [191]

It would be located in quadrant 4 because it has to be positive and negative.

8 0

3 years ago

I need help with this

NeX [460]

Step-by-step explanation:

x+30°=4x(inscribed angle is equal to its arc)

4x-x=30°

3x=30°

x=30/3

x=10°

hope it helps.

4 0

3 years ago