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Alenkinab [10]
3 years ago
7

Sam needs to find the circumference of a circle with a diameter of 24 inches. He uses a calculator to find the circumference. Wh

ich answer is reasonable?
A. 72.013678 in
B. 75.398223 in
C. 80.332161 in
D. 85.335372 in
Mathematics
1 answer:
Anni [7]3 years ago
7 0

Answer: B

Step-by-step explanation:

Using 6 decimals for pi = 3.141592

Formula: C= \pi d\\

C=(3.141592)(24in)\\C=75.398223in

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Alborosie

Answer:

0.291×0.34=0.09894

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Find the x-intercept of the parabola with vertex (1,-13) and y-intercept (0,-11).
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1. find equation

general solutions are:
y = a x^{2} +bx +c \\ \\ \frac{dy}{dx} = 2ax +b

for P(0,-11)

-11 = 0a + 0b +c ⇒c = -11

for p(1,-13)
-13 = 1a + 1b -11 \\ a+b = -2

and

0 = 2a + b \\ b = -2a

solve for a and b:
a - 2a = -2 \\ a = 2 \\ b = -4

the total equation is now:

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To find the x-intercept set y=0 and solve for x

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HELP PLEASE
Stella [2.4K]

Answer:

The right answer is: 14,256 cubic inches

Step-by-step explanation:

First of all, let's identify the dimensions of the tank and convert them to inches

Knowing that  1 Feet = 12 inches

So, the dimensions of the tank, expresed in inches will be:

Height (H): 2 ft. x 12 = 24 inches

Width (W): 1.50 ft. x 12 = 18 inches

Lenght (L): 3 ft. x 12 = 36 inches

Before calculating the volume of water inside the thank, We must consider that <em>there are two inches of empty space at the top.</em>

So , We must substract 2 inches to the height to calculate the volume.

Then, the height used for calculating the volume will be:

H'= 24 inches - 2 inches = 22 inches

Then,

Volume (V)= W x L x H'

V= (18 inches) x (36 inches) x (22 inches)

V= 14,256 cubic inches

8 0
3 years ago
Find the mass and center of mass of the lamina that occupies the region D and has the given density function rho. D is the trian
Pachacha [2.7K]

Answer:

m=1/300 du

Step-by-step explanation:

we have that m=∫∫rho(x,y)dA for this we must find the limits of integration (according to the graph1)

On the x axis: if y=2x and x+2y=1 then y=2x and y=(1-x)/2 ⇒ 2x=(1-x)/2 ⇒ 4x=1-x ⇒ 5x=1 ⇒ x=1/5; on the y axis y=0 and y=1/2

m=∫∫rho(x,y)dA (view the graph 2)

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