All categories

3 years ago

What is the radius of a sphere if its surface area is 2,122.64 square inches? (Use 3.14 for .)

2 answers:

8 0

$\bf \textit{surface area of a sphere}\\\\
SA=4\pi r^2~~
\begin{cases}
r=radius\\
------\\
SA=2122.64
\end{cases}\implies 2122.64=4\pi r^2
\\\\\\
\cfrac{2122.64}{4\pi }=r^2\implies \cfrac{530.66}{\pi }=r^2\implies \sqrt{\cfrac{530.66}{\pi }}=r$

Svetach [21]3 years ago

7 0

Answer:

Step-by-step explanation:

You might be interested in

Use the given information to prove that RSU=TSV

RoseWind [281]

Answer:

Statement, Reason

Given segment RV = segment TU, Given

m∠R = m∠T, Given

Segment RS ≅ segment ST, Base angles theorem

ΔRSV ≅ ΔTSU, SAS rule of congruency

Segment SV ≅ segment SU, CPCTC

VU ≅ UV, Reflexive property

RU = RV + VU, TV = TU + UV, Addition of segments

RV + VU ≅ TU + UV, Addition property of equality

RU ≅ TV, Transitive property of addition

ΔRSU ≅ ΔTSV, SSS rule of congruency

Step-by-step explanation:

Where:

SAS- Side Angle Side

CPCTC -Congruent Parts of Congruent Triangles are Congruent

SSS -Side Side Side

3 0

3 years ago

What would be the slope of the line that passses through 4, 5 and 7, 6

Angelina_Jolie [31]

Use the formula:
y2-y1
———
x2-x1

So for this problem it would be:

6-5
——
7-4

= 1
—
3

Hope this helped, if it did I would appreciate it if you would consider giving me brainliest!

7 0

2 years ago

A group of friends chartered a deep-sea fishing boat out of destin, fl. the graph below represents the total cost, in dollars, o

Elenna [48]

The difference in price per passenger for a group of 16 versus a group of 10 is $26.25

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more number and variables.

From the graph:

The cost for a group of 16 friends is $2500, while for a group of 10 friends is $1300.

Cost per passenger for 16 friend = $2500 / 16 = $156.25

Cost per passenger for 10 friend = $1300 / 10 = $130

The difference in price = $156.25 - $130 = $26.25

The difference in price per passenger for a group of 16 versus a group of 10 is $26.25

Find out more on equation at: brainly.com/question/2972832

#SPJ4

3 0

2 years ago

The two angles are

Natalka [10]

Answer:

The two angles are alternate interior angles

Step-by-step explanation:

Here, we want to state the relationship between the two given angles

From the diagram, we can observe that these two angles are;

They are alternate interior angles

6 0

3 years ago

The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times

rusak2 [61]

Answer:

$x=30\\y=68\\z=82$

Step-by-step explanation:

x = measure of the first angle

y = measure of the second angle

z = measure of the third angle

The sum of the measures of the second and third (y+z) is five times the measure of the first angle (=5x)

$y+z=5x$

The third angle is 14 more than the second

$z=y+14$

And remember that the sum of these three angles must be equal to 180.

$x+y+z=180$

Let's take these equations

$y+z=5x\\z=y+14\\x+y+z=180$

If you take a look at the first equation, we have y+z = 5x and we have y+z in the third equation as well, we can replace that....

$x+y+z=180\\x+(y+z)=180\\x+(5x)=180$

Distribute the + sign

$x+5x=180$

Combine like terms;

$6x=180$

Divide by 6.

$x=\frac{180}{6}\\ x=30$

We have now defined that the measure of the first angle is 30º.

Let's take another equation... for example $z=y+14$

I'm going to take this one because if I replace x and z in the third equation, all I'll have left will be y.

$x+y+z=180\\30+y+(y+14)=180$

Distribute the + sign and Combine like terms;

$30+y+y+14=180\\44+2y=180\\$

Subtract 44 to isolate 2y.

$2y=180-44\\2y=136$

Now divide by 2.

$y=\frac{136}{2}\\ y=68$

We already have the value of x and y. Once again, replacing this in the third equation will leave us with z to solve for.

$x+y+z=180\\30+68+z=180\\98+z=180\\z=180-98\\z=82$

5 0

3 years ago