A regulation-size women's basketball has a diameter of 9.07 inches. What is the surface area of the basketball? Use 3.14 for π and round to the nearest tenth.

Answers

Answer 1

Answer:

258.3 sq inches

Step-by-step explanation:

Use the sphere surface area formula, SA = 4[tex]\pi[/tex]

The diameter is 9.07 inches, so the radius is 4.535 inches.

Plug in 3.14 as pi and 4.535 as r, and solve:

SA = 4[tex]\pi[/tex]r²

SA = 4(3.14)(4.535)²

SA = 258.3

So, the surface area is approximately 258.3 sq inches


Related Questions

Lisa, Taryn, and Catherine go to a store to buy party supplies. The store has a sale on the supplies they want for 3_4 the original price. The girls agree to each pay 1_3 of the cost.

Answers

Answer:

1/4 of the cost

Step-by-step explanation:

Lisa, Taryn, and Catherine go to a store to buy party supplies. The store has a sale on the supplies they want for 3/4 the original price. The girls agree to each pay 1/3 of the cost. What fraction of the original price did each girl pay?

Discounted price = 3/4 the original price

Each girl agreed = 1/3 of the cost

Amount each girl paid = 3/4 * 1/3

= (3 * 1) / (4 * 3)

= 3 / 12

= 1/4 of the cost

Amount each girl paid = 1/4 of the cost

what is the length of the missing leg?

Answers

Answer:

[tex]a=\sqrt{609}\\\\a\approx 24.67793[/tex]

Step-by-step explanation:

To solve for the leg of the missing right triangle, one must use the Pythagorean theorem. The Pythagorean theorem states the following,

[tex]a^2+b^2=c^2[/tex]

Where (a) and (b) are the sides adjacent to or next to the right angle. (c) is the side opposite the right angle. Substitute in the given values and solve for the unknown,

[tex]a^2+b^2=c^2\\[/tex]

Substitute,

[tex]a^2+40^2=47^2\\[/tex]

Simplify,

[tex]a^2+1600=2209\\[/tex]

Inverse operations,

[tex]a^2=609[/tex]

[tex]a=\sqrt{609}\\\\a\approx 24.67793[/tex]

Answer:

b = 9 mm

Step-by-step explanation:

Using Pythagoras; identity in the right triangle

b² + 40² = 41²

b² + 1600 = 1681 ( subtract 1600 from both sides )

b² = 81 ( take the square root of both sides )

b = [tex]\sqrt{81}[/tex] = 9 mm

Container A holds 5 bottles of water each with a capacity of 250ml. Container B
holds 7 bottles of water each with a capacity of 175ml. Which container holds
more water? Explain your answer.​

Answers

Answer:

Container A has more capacity, as it holds 1,250 milliliters of water against 1,225 milliliters that Container B contains.

Step-by-step explanation:

Since Container A holds 5 bottles of water each with a capacity of 250ml, while Container B holds 7 bottles of water each with a capacity of 175ml, to determine which container holds more water, the following calculation must be performed:

Container A:

250 ml x 5 bottles: Capacity

250 x 5 = X

1,250 = X

Container B:

175 ml x 7 bottles: Capacity

175 x 7 = X

1,225 = X

Therefore, Container A has more capacity, as it holds 1,250 milliliters of water against 1,225 milliliters that Container B contains.

Simplify the following by collecting like terms.
c + c +c+c​

Answers

Answer:

4c

Step-by-step explanation:

c + c +c+c​

Factor out c

c(1+1+1+1)

c(4)

4c

4c is c + c + c + c. You add all the like terms and make it a variable.

Total cost for cookie and lemonade is 1.80. If lemonade costs 1.00 more than the cookie, how much was the lemonade?

Answers

Answer:

The lemonade costs 1.4.

Step-by-step explanation:

This question is solved using a system of equations.

I am going to say that:

x is the cost of a cookie.

y is the cost of a lemonade.

Total cost for cookie and lemonade is 1.80.

This means that [tex]x + y = 1.8[/tex].

As we want y, we have that [tex]x = 1.8 - y[/tex]

Lemonade costs 1.00 more than the cookie?

This means that:

[tex]y = x + 1[/tex]

So

[tex]y = 1.8 - y + 1[/tex]

[tex]2y = 2.8[/tex]

[tex]y = \frac{2.8}{2}[/tex]

[tex]y = 1.4[/tex]

The lemonade costs 1.4.

Learning Task 2
Solve the following problems. (Show your complete solutions.)
1.) What is the sum of the interior angles of a polygon having 8 sides?
2.) Find the measure of the exterior angle of a regular decagon.
3.) Find the number of diagonals of a nonagon.
4.) What is the measure of each angle of a regular nonagon?
5.) if the sum of the measures of the angles of a regular polygon is 900, then
what is the number of sides?

Answers

Answer:

1. 1080°

2. 36°

3. 27 diagonals

4. 140°

5. 7 sides

Step-by-step explanation:

1. The sum S of the interior angles of a polygon is given by;

S = (n-2) x 180°

Where;

n = number of sides of the polygon.

Therefore, to get the sum of the interior angles of a polygon having 8 sides, we substitute n = 8 into equation (i) as follows;

S = (8 - 2) x 180°

S = 6 x 180°

S = 1080°

Therefore, the sum of the interior angles of a polygon having 8 sides is 1080°

2. The sum of interior angles of a polygon is given by;

S = (n - 2) x 180°

For a polygon which is a regular decagon where the number of sides n = 10, the sum is;

S = (10 - 2) x 180°

S = 8 x 180°

S = 1440°

Since the decagon is regular, then each of its interior angles is given by;

1440° / 10

=> 144°

Now, since we know that the sum of the interior angle and exterior angle will give 180°, then;

The exterior angle of a regular decagon is;

180° - 144° = 36°

Therefore, the exterior angle of a regular decagon is 36°

3. The number of diagonals N of a polygon with n sides is given by;

N = [tex]\frac{1}{2} n(n-3)[/tex]

So, for a nonagon which has 9 sides (i.e n = 9), the number of diagonals is;

N = [tex]\frac{1}{2}*9(9-3)[/tex]

N = [tex]\frac{1}{2}*9(6)[/tex]

N = 9(3)

N = 27

Therefore, a nonagon has 27 diagonals.

4. The sum of interior angles of a polygon is given by;

S = (n - 2) x 180°

For a polygon which is a nonagon where the number of sides n = 9, the sum is;

S = (9 - 2) x 180°

S = 7 x 180°

S = 1260°

Since the nonagon is regular, then each of its interior angles is given by;

1260° / 9

=> 140°

Therefore, the measure of each angle (interior angle) of a regular nonagon is 140°

5. The sum of the interior angles of a polygon is given by;

S = (n - 2) x 180°

So if the sum is 900, then to get the number of sides of the polygon, we substitute S = 900 into the equation;

900° = (n - 2) x 180°

Divide through by 180°

5 = (n - 2)

Solve for n;

n = 5 + 2

n = 7

Therefore, the regular polygon has 7 sides.

The angle of elevation to a nearby tree from a point on the ground is measured to be
44º. How tall is the tree if the point on the ground is 51 feet from the tree? Round
your answer to the nearest hundredth of a foot if necessary.

Answers

Answer: the tree is 49.25

Step-by-step explanation:

The height of the considered tree if the point on the ground is 91 feet from the tree is 49.2507 feet approximately.

What is angle of elevation?

You look straight parallel to ground. But when you have to watch something high, then you take your sight up by moving your head up. The angle from horizontal to the point where you stopped your head is called angle of elevation.

For this case, referring to the attached figure below, we get:

Angle of elevation =∠ACB=44°

Distance of the base of the tree from the point of the ground = 51 feet

Height of the considered tree = h feet (assume).

Angle ACB denotes internal angle made by AC and CB line segments). It is the angle of elevation here, taking BC as horizontal line, and AC as elevated line.

Then, using the tangent ratio from the perspective of angle ACB, we get:

tan44°= h/51

h= 0.9657×51

h= 49.2507 feet

Therefore, the height of the considered tree if the point on the ground is 91 feet from the tree is 49.2507 feet approximately.

Learn more about tangent ratio here:

brainly.com/question/14169279

#SPJ6

Kaylee and her children went into a movie theater and will buy drinks and candies.
She must buy no less than 15 drinks and candies altogether. Write an inequality that
would represent the possible values for the number of drinks purchased, d, and the
number of candies purchased, c.

Answers

Answer:

c+d>15

Step-by-step explanation:

Usually there's more to the question.. the inequality doesn't look too right, but it could be.

Answer:

c+d>15

Step-by-step explanation:

Please Help me. I get so confused doing these questions.

Answers

Answer:

It should be -24

Step-by-step explanation:

I found it online, since I wasn't entirely sure, but remember that studying can be fun, and everyone have an amazing day :)

Solve: 36(x + 4)= 36

Answers

Answer:

x = -3

Step-by-step explanation:

36(x + 4) = 36

Divide both sides by 36

x + 4 = 1

Subtraact 4 from both sides

x = -3

Answer:

-3

Step-by-step explanation:


Gerald wants to buy a sweater that is $41.60 because it is on sale for 20% off

Answers

Answer: $33.28

Step-by-step explanation: 41.60x .20 = 8.32

41.60 - 8.32 = 33.28

Each day, Deanne starts working at 10:00 a.m. and Stephanie starts working at noon. At which time each day are the earnings for Deanne equal to the earnings for Stephanie?​

Answers

Answer:

Time when both earnings are equal = 5:00 Pm

Step-by-step explanation:

Given:

Total earning of Deanne = 6.50x

Total earning of Stephanie = 9.10(x -2)

Work started at 10:00 am

Find:

Time when both earnings are equal

Computation:

Total earning of Deanne = Total earning of Stephanie

6.50x = 9.10(x - 2)

6.5x = 9.1(x-2)

6.5x = 9.1x - 18.2

9.1x - 6.5x = 18.2

2.6x = 18.2

x = 18.2 / 2.6

x = 7 hour

So,

Time when both earnings are equal = Work started at 10:00 am + 7 hour

Time when both earnings are equal = 5:00 Pm

Mr. Norris buys a boat for $125,000. He has to pay a 5% tax on his purchase of the boat. How much money is the tax?

Answers

6250 is 5% of 125000

can someone pls finish this for me, ill give brainliest

What was the activity? Drawing Circles

How long did you spend doing your activity? 1 minute

How much of the activity did you complete in the time period? (Example: I did 24 sit-ups in one minute). Drew 29 circles

Which of these variables is your dependent variable?

Which one is the independent variable?

Write a sentence that describes the relationship between the dependent variable and the independent variable. (Hint: Ratio language can help.)


part 2

Assuming that you could complete the activity at the same rate over different time periods, how much of the activity could you complete in two minutes, three minutes, four minutes, and five minutes? (Note: If you spent two minutes doing your activity, then you should edit the table below and use multiples of 2 up to 10).

You may use the table below for your variables.

Time
(minutes)
0 0
1
2
3
4

Answers

Answer:

dependent variable: circles drawn

independent: time

the independent variable is what you control, which was the time spent. the amount of circles you were able to draw depended on the amount of time you had, so it was the dependent variable.

part 2:

if you drew circles at the same rate

0-0

1-29

2-58

3-87

4-116

hope that helped! lemme know if you need more

The choices are
A. 2/13
B. 3/13
C. 5/13
D. 8/13

Answers

Step-by-step explanation:

The answer is A

10) what is the area ratio
11) what is the area of RST
HELP ASAP EMERGENCY

Answers

9514 1404 393

Answer:

  10)  C 4/9

  11)  B 24

Step-by-step explanation:

10) The area ratio is the square of the ratio of side lengths. The ratio of side lengths is ...

  RS/LM = 6/9 = 2/3

Then the area ratio is ...

  (2/3)² = 4/9

__

11) Using the result of question 10, the area of ∆RST is ...

  (4/9)(54 in²) = 24 in²

(6 - i)(6 + i) multiplying complex numbers​

Answers

Answer:

[tex](6 - i)(6 + i) \\ = (36 + 6i - 6i - {i}^{2} ) \\ = 36 - {i}^{2} \\ = 36 - ( - 1) \\ = 36 + 1 \\ = 37[/tex]

Anyone know how to skip a video on edge nuity???

Answers

Answer:

I dont think there is a way

Step-by-step explanation:

Chỗ hình chóp S.ABCD có đáy ABCD là hình vuông .SA=AB=2 SA vuông góc với đáy.Gọi T là điểm thoả mãn vector ST=1/2 vectơ AB tính thể tích khối đa diện ABCDST

Answers

Answer:

Step-by-step explanation:

an estate valued at $75 000 is divided among three daughters Natasha, Natalie and Nadia in the ratio 5:8:2 respectively. Calculate the amount each receives ​

Answers

Answer:

Natasha: $25000

Natalie: $40000

Nadia: $10000

Step-by-step explanation:

5 : 8 : 2

5 + 8 + 2 = 15

$75000 ÷ 15

$5000

$5000 × 5 = $25000

$5000 × 8 = $40000

$5000 × 2 = $10000

For the image below, state the line of reflection:

Answer choices:
y = -2

x-axis

y-axis

x = -1

Answers

Answer:20

Billions

Step-by-step explanation:

Answer:

Kjxiycdafgousdgkuafveligfasa

Find the value of x and y. NEED HELP ASAP

Answers

Answer:

11) 2√3

12) 4√3

Step-by-step explanation:

11)

tg60 = 6/x

x= 6/tg60

x= 6/ √3

x= 2√3

12)

a2= (b)2 + (c)2

a2= (6)2 + (√3)2

a2= 36 + 12 = 48

a= √48

a= 4√3

I hope this helps you :)

Sam, a researcher, and his team conduct a study to examine the effect of WakeMe, an energy drink, on intelligence levels of people in a small town. The people from this town are randomly divided into two equal, representative groups. Members of one group, Group MW, are made to drink WakeMe and then take an intelligence test. Members of the other group, Group NoMW, are made to drink plain water packaged in WakeMe bottles and then take an intelligence test. In this scenario, ______ is the control group and the ______ is the experimental group.

Answers

Answer:

Hence, In this scenario, __Group NoMW____ is the control group and the ___Group MW___ is the experimental group.

Step-by-step explanation:

The control group is the one which is not subjected to any testing situation or condition.

While the experimental group is the one which is subjected to testing condition.

Hence, In this scenario, __Group NoMW____ is the control group and the ___Group MW___ is the experimental group.

A 2m tall man observes the angle of elevation of a tower 45m to be 30 degree.find the distance between man and the tower​

Answers

Answer:

CARRY ON LEARNING BEGGINER PALANG PO KASI AKO EH

Step-by-step explanation:

sorry po

Amy is going on a 4 1 4 4 4 1 ​ mile hike. She has already hiked 2 3 4 2 4 3 ​ miles. How many more miles does she have left

Answers

Answer:

1 1/2 miles

Step-by-step explanation:

Amy is going on a 4 1 /4 miles hike. She has already hiked 2 3 /4 ​ miles. How many more miles does she have left?

We solve the above question using the operation of Subtraction

The number of miles she has left is calculated by:

Total number of miles she must hike - Number of miles she has hiked

Total number of miles she must hike

= 4 1/4 miles

Number of miles she has hiked = 2 3/4 miles

Therefore:

The number of miles she has left to hike is = 4 1/4 miles - 2 3/4 miles

Lowest Common Denominator = 4

4 - 2 + ( 1/4 - 3/4)

2 + (1 - 3/4)

2 + -2/4

1 2/4

= 1 1/2 miles

10. A trapezold has a base of x and a helght of 3 units. If there is also a square with sides measuring x,
what formula would be used to calculate the total area of both figures (the ^sign represents the
exponent or power of the number): *
09x
Ox2
4x + x3
1x 2 + 3

Answers

Answer:

I Think 0x2 Or 4x + x3 I'm not 100% Sure

Step-by-step explanation:

I Tried..

Will rank the correct answer brainliest!

Answers

Answer:

Step-by-step explanation:

diameter=2*radius

=2*9

=18 in

given central angle=72 degree

arc length=central angle /360° *πd

=72/360 *3.14*18

=1/5 *56.52

=56.52/5

=11.304

Answer:

arc length=2πr×0.2

=2×3.14×9×0.2

=11.304 inch²

Please help I put 100 points

Answers

Answers:

26 math problems

16 science problems

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

Work Shown:

m = number of math problems

s = number of science problems

Since "you have 10 more math problems than science problems", we can say m = s+10

Also, we can say m+s = 42 because there are 42 problems total.

Replace m with s+10, which is the substitution rule, and solve for s like so

m+s = 42

s+10+s = 42

2s+10 = 42

2s = 42-10

2s = 32

s = 32/2

s = 16

You have 16 science problems

m = s+10

m = 16+10

m = 26

and you have 26 math problems

To check this, we would say m+s = 26+16 = 42 which confirms the answer.

I cant see ur image.........

A=755y/t^2
Solve for y.

Answers

Answer:

y = At²/755

Step-by-step explanation:

A = 755y/t²

multiply both sides by t²

At² = 755y

Divide both sides by 755

At²/755 = y

Flip

y = At²/755

Find f(2) if f(x) = (x + 1)^2

answer options:
a. 6
b. 9
c. 5
HURRY PLZZZ

Answers

Answer:

c

Step-by-step explanation:

Replacing x with 2, you get 5 as your answer

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