Answers
Answer:
r = 15
The radius of the sphere is 15 feet.
Step-by-step explanation:
see image.
Use the formula for the volume of a sphere:
V = 4/3 • pi • r^3
Fill in the 4500pi that is given for the V.
4500pi = 4/3 • pi•r^3
Then solve for r.
see image.
Multiply by 3/4 to get rid of the 4/3.
Divide both sides by pi.
Then cube root to get rid of the third power on the r.
see image.
Don't forget units.
r = 15 feet
Hope this helps! Pls mark Brainliest! tysm!
Related Questions
When 3 + 3x − 5 − 8x is simplified, the result is:
-5x − 2.
-5x − 8.
-11x − 15.
6x − 13x.
Answers
Answer: -5x - 2
Step-by-step explanation:
Combine like terms: (3x - 8x) + (3 - 5) → -5x - 2 :)
NEED ASAP:
A photographer needs a frame for an 8 x 10 inch picture, such that the total area is 168 in2. Calculate the width of the frame. Which of the following quadratic equations would be used when solving this?
Answers
Answer:
Step-by-step explanation:
the area of this rectangle is
(10 + 2x)(8 + 2x) = 168
80 + 20x + 16x + 4x² = 168
4x² + 36x = 88
Step-by-step explanation:
A quadratic equation is an equation whose leading coefficient is of the second degree. The correct option is A.
What is a quadratic equation?A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.
Let the width of the frame be represented by x. Therefore, the length and the breadth of the photographer be represented by (10+2x) inches and (8+2x) inches. Therefore, the total area of the photograph can be written as,
Area = Length × Breadth
168 inches² = (10+2x) inches × (8+2x)inches
168 = (10+2x)(8+2x)
168 = 80 + 20x + 16x + 4x²
0 = 80 + 20x + 16x + 4x² - 168
0 = 4x² + 36x - 88
4x² + 36x - 88 = 0
4x² + 36x = 88
Hence, the following quadratic equations that would be used when solving the width of the frame is 4x² + 36x = 88.
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The ratio of acrobats to dancers was 13 to 15. If there were 247 acrobats, how many dancers were there?
Answers
Answer:
im terreb.le at math
Step-by-step explanation:
Answer:
285 dancers
Step-by-step explanation:
[tex]\frac{acrobats}{dancers}[/tex] = [tex]\frac{13}{15}[/tex] = [tex]\frac{247}{x}[/tex]
After cross-multiplication:
13x = ( 15 )( 247 )
13x = 3705
x = 285 dancers
How many apples could you buy if you went to the store with five dollars?
Answers
Answer:5 apples
Step-by-step explanation:5x1=5
Sofia has been saving money to buy a new computer. For her birthday, Sofia’s mother gave her twice what she had already saved. Now she has $135.
How much money did Sofia have before her birthday ?
Answers
Answer:
67.5
Step-by-step explanation:
135/2=67.5
answer is $67.50
please help with the word problem
Answers
Answer:
10 mins
Step-by-step explanation:
i hope this helps
Answer:
10 minutes.
Step-by-step explanation:
10 x 3 is 30.
100 points!!! please help with this math!!!
Answers
Answer:
Height = 9 cm
Volume = 243 cm³
Surface area = 270 cm²
Step-by-step explanation:
A prism is a 3D shape which has the same 2D shape repeated along its length (this 2D shape is sometimes called the cross section).
The 2D shape at the ends of the prism is the base of the prism, so for this shape, the bases are the L-shapes.
The height of the prism is also called the length, and is the measure of the length that connects the two bases.
So for this prism the height is 9 cm.
Area of the base = (6 × 3) + (3 × 3)
= 18 + 9
= 27 cm²
Volume of a prism = area of the base × height
= 27 × 9
= 243 cm³
Total surface area = (2 × base area) + side areas
= (2 × 27) + 2(6 × 9) + 4(3 × 9)
= 54 + 108 + 108
= 270 cm²
Find x 20 and 15 geometric mean
Answers
Answer: 17.320508075689
Step-by-step explanation:
Bryce has $28. He spends $15. Then, his mom gives him $5 more. Which equation shows how Bryce can correctly find his total amount of money?
Answers
Answer:
28 - 15 + 5 = 18. Add and subtract will get you ,your answer. Bryce has $18
Step-by-step explanation:
Simple math hope this helped
The monthly rent for an 800 square foot office is $975. For an 1100 square foot office the rent is $1125 Write and solve a linear equation to find out the rent for a 1500 square foot office
Answers
Need some help with this. It says to find x.
Answers
Answer:
x= 5
Step-by-step explanation:
Since RQ= PQ,
3x= 15
Divide both sides by 3:
x= 15 ÷3
[tex]\textcolor{red}{x = 5}[/tex]
[tex]\textcolor{steelblue}{\text{Prove for RQ}= \text{PQ}}[/tex]
Let SP= x
RS= SP= x (given)
Let SQ= y
Applying Pythagoras' Theorem,
In triangle QRS
(RQ)²= (RS)² +(SQ)²
(RQ)²= x² +y²
[tex]RQ = \sqrt{ {x}^{2} + {y}^{2} } [/tex]
In triangle QPS
(PQ)²= (SP)² +(SQ)²
(PQ)²= x² +y²
[tex]PQ = \sqrt{ {x}^{2} + {y}^{2} } [/tex]
Thus, RQ= PQ.
Answer:
Step-by-step explanation:
3x = 15
3x/3 = 15/3
x = 5
3(5) = 15
The perimeter of the big wheel of a bicycle is 9 cm longer than the perimeter of the front wheel. On the road of 120 cm, the big wheel does 12 less rotations than the front one. Find the perimeters of each wheel.
PLEASE HELP I'VE BEEN STUCK ON THIS FOR WEEKS!!!
Answers
Answer:
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A boy is cycling such that the wheels of the cycle are making 140 revolutions per minute. If the diameter of the wheel is 60cm, calculate the speed per hour with which the boy is cycling.
Easy
Solution
verified
Verified by Toppr
Radius of the wheel =r=
2
60
=30 cm
Circumference of the wheel =2πr=2×
7
22
×30=
7
1320
cm
Distance covered in 1 revolution =
7
1320
cm
Distance covered in 140 revolutions =
7
1320
×140=26400 cm=264 m=
1000
264
km
Distance covered in one minute = Distance covered in 140 revolutions =
1000
264
km
Distance covered in 1 hour =
1000
264
×60=15.84 km
Hence, the speed with which the boy is cycling is 15.84km/hr.
How do you multiplying or dividing a fractions to obtain equivalent
Answers
To obtain an equivalent fraction by dividing, look at the top number and the bottom number. If they both can be divided by a number without it being a decimal, it’s an equivalent fraction. Example: 8/10, both of those numbers can be divided by 2 that isn’t a decimal, 4/5. 4/5 and 8/10 are equivalent
4. You wake up in the morning and go to the cupboard to look for breakfast. You have a choice of
Pop-Tarts, muffins, granola bars, or cereal. To drink, you have a choice of whole mild, 2% milk,
skim milk, orange juice, apple juice and water. You mother insists that you take a multi-vitamin
with your breakfast. You can choose from Flintstones vitamins, One-a-Day vitamins, Chock's
Vitamins. How many different breakfasts made up of an entrée, drink, and vitamin could you
make?
Answers
Answer:
72 breakfasts
Step-by-step explanation:
number of entrees: 4
number of drinks: 6
number of vitamins: 3
four times six times three =
72
Based on her results, what is the probability that two students were randomly picked and the first one chose romance and the second one chose action?
1/27
4/7
18/28
1/14
Answers
Probability of romance and action = 18 (add the two probabilities together)
Add all probabilities together which equals 28
18/28 is your answer
the question is in the attachment
Answers
Answer:
1 and 7
Step-by-step explanation:
let me know if this is helpful!
In a right triangle , the side opposite angle a has a length of 11.1 feet, the side adjacent to angle a has a length of 13.4feet , and the hypotenuse has a length of 17.4 feet. what is the value of cos(a)?
Answers
The adjacent side is 13.4 feet
The hypotenuse is 17.4 feet
13.4/17.4
I have a recipe to make 48 cupcakes. The recipe says that I need 8 eggs . I only need to make 12 cupcakes . how many eggs will I need
Answers
Answer:
2 eggs
Step-by-step explanation:
Use a proportion.
48 cupcakes is to 8 eggs as 12 cupcakes is to x eggs.
48/8 = 12/x
Reduce the left fraction.
6 = 12/x
Multiply both sides by x.
6x = 12
Divide both sides by 6.
x = 2
Answer: 2 eggs
Assessment started: undefined. Item 1 What is the median of this data set? {11, 13, 13, 14, 14, 16, 18, 23, 24} Enter your answer in the box.
Answers
{11, 13, 13, 14, 14, 16, 18, 23, 24}
mode: 13, 14median : 14minimum : 11maximum : 24interquartile range : 7.5total numbers : 9As it's odd
Median:-
n+1/29+1/210/25Median is 5th term 14
A pharmaceutical company has developed a new drug for people with psoriasis, a skin condition. Researchers would like to estimate the proportion of users who saw improvement in their skin after using the drug. Let p represent the true proportion of users whose skin improved. Which of the following is the smallest number of users the researchers can survey to guarantee a margin of error of 0.05 or less at
the 99% confidence level? (Use p^ = 0.5)
a. 600
b. 650
c. 700
d. 750
Answers
======================================================
Explanation:
At 99% confidence, the z critical value is roughly z = 2.576 which is found using a Z table.
We're given that [tex]\hat{p} = 0.5[/tex] as the sample proportion and E = 0.05 is the desired error.
The min sample size n is:
[tex]n = \hat{p}*(1-\hat{p})\left(\frac{z}{E}\right)^2\\\\n \approx 0.5*(1-0.5)\left(\frac{2.576}{0.05}\right)^2\\\\n \approx 663.5776\\\\n \approx 664\\\\[/tex]
Always round up to the nearest integer.
Unfortunately n = 664 isn't one of the answer choices. The next closest value is 700. It appears that your teacher wants to know a valid sample size that is the smallest of the answer choices, not necessarily the smallest ever possible.
will give brainliest, pls help ASAP!
Answers
Step-by-step explanation:
2 × 10⁸ - 7 × 10⁷
= 200,000,000 - 70,000,000
=130,000,000
= 1.3 × 10⁸
Answer:
130 million
Step-by-step explanation:
200 million in N
70 million in F
200-70 = 130 million
Hope this helps have a great day
The perimeter of a quarter circle is 3.57
yards. What is the quarter circle's radius?
P = 3.57 yd
Answers
Given -
The perimeter of a quarter circle is 3.57yards. ie, P = 3.57 ydTo find -
the quarter circle's radiusSolution -
We know to find the perimeter of the quarter of a circle we use the formula,
1/4 × circumference of the circle
= 1/4 × 2πr
= 1/4 × 2×3.14×3.57
= 2.8 yards
hurry please im running out of time
ill give brainliest
Answers
Answer:
Step-by-step explanation:
16 ticks, the pointer is on 12. there fore it is the second answer.
2 3/4 lb
A package of chocolates contains 3 caramel-
filled pieces, 3 raspberry-filled pieces and 4
fudge-filled pieces. What is the probability that
someone will reach in and select a caramel-filled
piece, keep it, and then select a raspberry-filled
piece?
Answers
Answer: 3 out of 19
Step-by-step explanation:
Answer:
P(caramel) = 3/10
P(raspberry) = 1/3
Step-by-step explanation:
Given:
Caramel chocolates = 3Raspberry chocolates = 3Fudge chocolates = 4⇒ Total chocolates = 3 + 3 + 4 = 10
[tex]\sf Probability \ of \ an \ event \ occurring = \dfrac{Number \ of \ ways \ it \ can \ occur}{Total \ number \ of \ possible \ outcomes}[/tex]
[tex]\sf \implies P(picking \ caramel \ chocolate) = \dfrac{3}{10}[/tex]
If the picked caramel chocolate is NOT replaced then:
Caramel chocolates = 3 - 1 = 2Raspberry chocolates = 3Fudge chocolates = 4Total chocolates = 10 - 1 = 9[tex]\sf \implies P(picking \ raspberry \ chocolate) = \dfrac39=\dfrac13[/tex]
What is the perimeter of the given quadrilateral?
Answers
Answer: 20
Step-by-step explanation: a to d, just count how many squares. and you get 5, and there are 4 sides and it's a perfect square so 5 x 4 = 20, so it is 20, you didn't show what the unit will be so don't forget to write that down!
Please help!!! a ramp is 3 feet high. the angle of elevation is 5 degrees. how long is the ramp to the nearest foot?
Answers
Answer:
J
Step-by-step explanation:
Start by labelling the sides of the triangle. The length of the ramp is the hypotenuse side, while the height of the ramp is the opposite side.
[tex]\textcolor{steelblue}{ \sinθ = \frac{opp}{hyp} }[/tex]
Let the length of the ramp be x.
[tex] \sin5° = \frac{3}{x} [/tex]
Multiply x on both sides:
x(sin5°)= 3
[tex]x = \frac{3}{ \sin5°} [/tex]
x= 34.4 (3 s.f.)
Thus, the length of the ramp is 34 ft. (nearest foot)
Maggie wants 20 cookies equally in boxes. Each box holds 5 cookies how many does she need?
Answers
Answer:
4 boxes
Step-by-step explanation:
If she has 4 boxes that hold 5 cookies each, that will total 20 cookies.
4×5=20
20÷5=4
How many square feet of outdoor carpet will we need for this hole?
Answers
Answer:
50 [ft²].
Step-by-step explanation:
1) if the hole is shaded with green colour, then its area
2) can be calculated as sum of three small parts:
2*11+2*7+2*7=2*25=50 [ft²].
1. give each solid a geometric name. be as precise as you can
а
b
с
Answers
The examples of geometric names include triangle, circle, square, rectangle, pentagon, etc.
What is a geometric name?Your information is incomplete as the shapes aren't given. Therefore, an overview will be given.
A geometric name is the name that is given to a shape. In this case, examples include triangle, circle, square, rectangle, pentagon, etc.
Triangle has three sides. A square has four equal sides. A rectangle has opposite sides equal, etc
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If you have a graph of two lines, explain how to find the solution to the system of equations.
Answers
Each shows two lines that make up a system of equations. If the graphs of the equations intersect, then there is one solution that is true for both equations. If the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations.