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Rus_ich [418]
3 years ago
14

Can someone please help

Mathematics
1 answer:
leonid [27]3 years ago
8 0

Answers:

  • Lateral Area = No lateral area (choice D)
  • Surface Area = 25.97 square inches (choice E)
  • Volume = 12.44 cubic inches (choice A)

============================================

Explanation:

Lateral area only applies to prisms and cylinders. Spheres do not have lateral sides, so there is no lateral area.

-----------------------

The radius is 1 & 7/16

Let's convert this to decimal form

1 & 7/16 = 1 + (7/16)

1 & 7/16 = 1 + 0.4375

1 & 7/16 = 1.4375

The radius is r = 1.4375 inches.

-----------------------

SA = Surface area the sphere

SA = 4*pi*r^2

SA = 4*pi*(1.4375)^2

SA = 25.9672267773281

SA = 25.97 square inches (choice E)

-----------------------

V = Volume of the sphere

V = (4/3)*pi*r^3

V = (4/3)*pi*(1.4375)^3

V = 12.4426294974698

V = 12.44 cubic inches (choice A)

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Answer:

8x-4=x+10

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7x = 14

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x= 2

<h2>HOPE IT HELPED U ...</h2>
8 0
3 years ago
Read 2 more answers
12. Dominic drives a taxi. He charges a $2 flat fee plus $1.50 per mile.
r-ruslan [8.4K]

Answer:

The y-intercept represents the flat fee.

Step-by-step explanation:

The y-intercept on the graph would be the point at which the line cuts across or intercepts the y-axis. At this point, the value of x (miles travelled) would be 0. The y-intercept in this case, would be the flat fee which is given as $2.

At x = 0, f(0) = 2.

The y-intercept represents the flat fee on the graph of f(x).

5 0
4 years ago
Doug has $12 to spend on popcorn and peanuts. The peanuts are $4 each and popcorn is $2 each Write a linear equation that descri
Fynjy0 [20]
Popcorn=x
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4 0
3 years ago
a football is fired upward with an initial speed of 800 feet per second. It is given that h=-12t^2+360t (h is the height of the
tangare [24]

Answer:

30 s

Step-by-step explanation:

When the ball hits the ground h=0. To find the time t when this happens we must solve the equation h=0.

●h= 0

● -12t^2+360t =0

● t(-12t +360) = 0

● t = 0 or -12t +360 =0

● t=0 or -12t = -360

● t=0 or 12t =360

● t=0 or t=360/12

● t=0 or t= 30

The equation has two solutions.

The ball was fired with an initial speed of 800 feet per second so it cannot hit the ground at t=0.

So the ball hits the ground after 30 s.

6 0
3 years ago
I have no idea!! Please help!!!
Ber [7]
The area of a traingle is \frac{1}{2}bh
So we need to know the base and the height
To work out the sides of a right angle triangle we can use a²+b²=c
c is the hypotenuse and a and b are the other sides
Because this triangle is isoceles we know that a and b are the same

a²+b²=c²
a²+a²=c²
2a²=c²
2a²=(x√6)²
2a²=(x√6)(x√6)
2a²=x²+x√6+x√6+6
2a²=x²+x√6+x√6+6
a²=\frac{x^{2}+x \sqrt{6}+x \sqrt{6}+6 }{2}
a=\sqrt{\frac{x^{2}+x\sqrt{6}+x\sqrt{6}+6}{2}}

A=\frac{1}{2}bh
A=\frac{1}{2}a*a
A=\frac{1}{2}×\sqrt{\frac{x^{2}+x\sqrt{6}+x\sqrt{6}+6}{2}}×\sqrt{\frac{x^{2}+x\sqrt{6}+x\sqrt{6}+6}{2}}
A=\frac{1}{2}×\frac{x^{2}+x \sqrt{6}+x \sqrt{6}+6 }{2}
A=\frac{x^{2}+x \sqrt{6}+x \sqrt{6}+6 }{4}
8 0
3 years ago
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