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3 years ago

What is the surface area of the sphere

Mathematics

1 answer:

belka [17]3 years ago

5 0

To solve for surface area of a sphere, the formula is 4*pi*r^2 where "r" is the radius. Since we know the diameter and that it is the length across the sphere, and that the radius is the distance from the center to the edge, we can divide the diameter by 2 to get the radius. This shows the radius is 5. Now all we have to do is substitute in the 5 for the "r" and solve.

SA=4*pi*r^2
SA=4*pi*5^2
SA=314.159

We are rounding to the hundredth here, so we can say the surface area of the sphere is (A) approximately 314.16 square miles.

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What's the exponential form of log 10=1

sergiy2304 [10]

Answer:

10=10

Step-by-step explanation:

8 0

2 years ago

What is the perimeter of the triangle in units of the triangle formed by the points (-3,1), (-3,5), and (4,1)?

ira [324]

let's say

A(-3,1) B(-3,5) C(4,1)

we need to find the perimeter of ABC for that we find each of the sides

AB BC and AC

there is a formula to find the distance between 2 poins

let's say that a point has the structure A(x1,y1) where x=-3 and y=1 and B(x2,y2) where x2=-3 and y2=5

AB= $\sqrt{(x2-x1)^2+(y2-y1)^2}$

AB= $\sqrt{(-3+3)^2+(5-1)^2}$

AB= $\sqrt{0^2+4^2}$

AB=4

we do the same thing for AC and BC

AC= $\sqrt{(4+3)^2+(1-1)^2}$

AC= $\sqrt{7^2+0^2}$

AC=7

BC= $\sqrt{(4+3)^2+(1-5)^2}$

BC= $\sqrt{7^2+(-4)^2}$

BC= $\sqrt{49+16}$

BC= $\sqrt{65}$

The perimeter is equal to the sum of the sides

P=AB+AC+BC=4+7+ $\sqrt{65}$ =11+ $\sqrt{65}$

8 0

2 years ago

A plane is descending into the airport. After 5 minutes it is at a height of 6500 feet. After 7 minutes it is at a height of 590

Jet001 [13]

Let's assume

height of plane in feet =h

time in minutes =t

we are given

A plane is descending into the airport. After 5 minutes it is at a height of 6500 feet

so, we get one point as (5,6500)

After 7 minutes it is at a height of 5900 feet

so, we get another point as (7,5900)

we can use point slope form of line

$y-y_1=m(x-x_1)$

points as

(5,6500)

x1=5, y1=6500

(7,5900)

x2=7 , y2=5900

Calculation of slope(m):

$m=\frac{y_2-y_1}{x_2-x_1}$

now, we can plug values

$m=\frac{5900-6500}{7-5}$

$m=-300$

Equation of line:

we can use formula

$y-y_1=m(x-x_1)$

we can plug values

$h-6500=-300(t-5)$

$h=-300t+8000$

Time of landing:

we can set h=0

and then we can solve for t

$h=-300t+8000=0$

$t=\frac{80}{3}min$ ..............Answer

5 0

3 years ago

A pyramid has a square base with sides 100 feet long. The original height was 75 feet.

viva [34]

Step-by-step explanation:

Step 1: Find the volume of the original pyramid

$V = a^2*\frac{h}{3}$

$V=(100)^2*\frac{75}{3}$

$V=10000*25$

$V=250000$

Step 2: Find the volume of the cut off

$V=(20)^2*\frac{15}{3}$

$V = 400*5$

$V=2000$

Step 3: Find the percent that still remains

$250000-2000$

$248000$

$248000 / 250000$

$0.992*100$

$99.2$

Answer: 99.2%

8 0

3 years ago

Read 2 more answers

You have two exponential functions. One function has the formula g(x) = 5 x . The other function has the formula h(x) = 5-x . Wh

AVprozaik [17]

Given the exponential functions $g(x)= 5^{x}$ and $h(x)= 5^{-x}$

$k(x)=(g-h)(x)$
$k(x)=g(x)-h(x)
$
$k(x)= 5^{x} - 5^{-x}$
$k(x)= 5^{x} - \frac{1}{ 5^{x} }$
$k(x)= \frac{ 5^{x} 5^{x} }{ 5^{x} } - \frac{1}{ 5^{x} }$
$k(x)= \frac{ 5^{2x} }{ 5^{x} } - \frac{1}{ 5^{x} }$
$k(x)= \frac{ 5^{2x}-1 }{ 5^{x} }$

4 0

2 years ago

Read 2 more answers