If dimensions of the globe that is 16 inches in diameter were reduced by half, then its volume would be [tex]$V= 267.9 \text{ in}^{3}$[/tex]
What is volume ?The volume of an object is a measure of the amount of space occupied by that object.
Here given that originally diameter was 16 inches but then dimensions of the globe was reduced by half
The new diameter is equal to
[tex]$$D=16 / 2=8 \mathrm{in}$$[/tex]
Hence radius is equal to
[tex]$$r=8 / 2=4 \mathrm{in}$$[/tex]
The volume of the reduced globe is
[tex]$V=\frac{4}{3}(\pi)(r)^{3}$[/tex]
[tex]$V=\frac{4}{3}(3.14)(4)^{3}$\\[/tex]
[tex]$V= 267.9 \text{ in}^{3}$[/tex]
If dimensions of the globe that is 16 inches in diameter were reduced by half, then its volume would be [tex]$V= 267.9 \text{ in}^{3}$[/tex]
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Answer:
267.9 in3
Step-by-step explanation:
I took the test and got it right!
The volume of a triangular pyramid is 13.5 cubic meters. What is the volume of a triangular prism with a congruent base and the same height?
Answer:
The prism is 3 by 3 by 1.5.
Step-by-step explanation:
The prism has a length x and a width x. Since it is a square at the base both length and width are the same amount x. The height is "half the length of one edge of the base". Since the base is x, this makes it 1/2x.
The volume's prism is found using V = l*w*h. Substitute and simplify.
13.5 = x*x*1/2x
13.5 = 1/2 x^3
27 = x^3
3 = x
The prism is 3 by 3 by 1.5.
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Under her cell phone plan, Lily pays a flat cost of $40 per month and $4 per gigabyte.
She wants to keep her bill under $60 per month. Write and solve an inequality which
can be used to determine x, the number of gigabytes Lily can use while staying within
her budget.
Answer:
16
Step-by-step explanation:
60-44
The inequality is $40 + 4x < $60 and she has to spend 5 gigabytes to stay within her budget
Note that:
> means greater than
< means less than
≥ means greater than or equal to
≤ less than or equal to
The total amount Lily has to spend has to be less than $60
The total amount she can spend can be represented with this equation
Flat cost + variable cost < $60
Flat cost = $40
Variable cost = cost per gigabyte x gigabyte
$4 × x = $4x
$40 + 4x < $60
To solve for x, combine similar terms
$4x < $60 - $40
$4x < $20
x < 5
A similar question was solved here: https://brainly.com/question/24492243?referrer=searchResults
The county recreation department cleared 3/4 of a mile for a trail in Washington Park. There will be a small sign every 1/12 mile along the trail. How many signs are needed?
Answer:
its 9 signs
Step-by-step explanation:
in order to find number of signs you gonna divide total distance by distance of a small sign
3/4 ÷ 1/12
= 3/4 × 12/1 = 3 × 3
therefore, the answer is 9 sign
The length of a rectangle is twice as long as the width. The area is 400 feet. Find the length and with of the rectangle.
Answer:
A=400, L=2W, L*W=A so, L*W=400, so, 400=2W*W or 200=W*W or 200=[tex]W^{2}[/tex], [tex]\sqrt{200\\[/tex] = W, L=2([tex]\sqrt{200\\[/tex]) and W=[tex]\sqrt{200\\[/tex], W=14.14 and L=28.28
Step-by-step explanation:
help pleaseee!! i’ll give u most brianliest
How could you calculate the value of log11(9100) using a calculator? What does it equal (round to the nearest tenths place)?
can you guys help me asap
the circumference of a circle is about 33.912 inches. the circle's radius is ___ inches.
use 3.14 for pi.
The circle's radius is:
(33.912 : 3.14) : 2 = 5.4 (inches)
Express 5: 8 in the ratio n : 1
Answer:
0.625 : 1
Step-by-step explanation:
5 : 8
→ Divide both sides by 8 to get it to 1
(5 ÷ 8) : (8 ÷ 8)
→ Simplify
0.625 : 1
I NEED HELP REALLY FAST AND EXPLAIN HOW YOU SOLVED IT PLEASE
Answer:
C
Step-by-step explanation:
All you do is take the number choices and plug it into the equation. For example if you take A and plug it in the equation would look like -5(-5) < 25 and -5 times -5 is 25 so you know 25 is equal to 25 not less than.
If you plug in C you get -5(-4) < 25 and -5 times -4 is 20 and 20 is indeed less than 25
Please help soon!!!!!
The equation below has infinitely many solutions.
-53 + 2 + 2x + 4 = ax + b
True
False
Answer:
definatly not infinitely it should be only one correct answer so false
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
-53 + 2+ 2x + 4 = ax + b
-47 + 2x = ax + b
Since there is 3 variables you need 3 equations which you don't have. After simplifying there is nothing else you can do.
The diameter of a circle is 6 kilometers. What is the area?
d=6 km
Give the exact answer in simplest form.
_____ square kilometers
Answer:
28.26
Step-by-step explanation:
6 divided by 2 = 3^2 = 9 x 3.14 = 28.26
put this is y-intercept form 5x + 4y = -4
Answer:
slope-intercept form: y= -5/4x-1
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
3. You are helping build a community playground. Your group is building the frame
for a rectangular sandbox. The sides are already cut for you but you do not have
any tools to make sure the corners are 90 degrees. Explain how you can use 2 ropes
to make sure the frame is a rectangle.
don't use rope, us duck tape it always works
this is a haha funny joke by the way
I'M GIVING BRAINLIEST TO WHOEVER ANSWERS FIRST! GOOD LUCK!
In the following problem, define the variable and then write an expression to represent the number of students at the elementary school. Finally, find the number of students at the middle school if the elementary school has 380 students: The middle school has 24 students less than 3 times the number of students at one of the elementary schools.
Answer:
3x - 24
Step-by-step explanation:
this is probably wrong
Answer:
1116
Step-by-step explanation:
Hey!
We can use the algebraic expression, 3x - 24, to solve.
Just substitute 380 in for x.
⇒3(380) - 24
⇒1140 - 24
⇒ 1116
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Hope I Helped, Feel free to ask any questions to clarify :)
Have a great day!
More Love, More Peace, Less Hate.
-Aadi x
Write an equation for the linear function graphed above;
Answer:
y = -1/4x + 16
Step-by-step explanation:
the slope is -1/4 and the y-intercept is 16
Evaluate the expression for the given value of x.
3/4 x − 12 for x = 16
Answer:
if x is 16 then 3/4(16) - 12
when you simplify 4 by 16
3(4)-12
12-12=0
the compound inequality
a hot dog stand sells two type of hot dogs: plain hot dogs and chili-cheese dogs. plain hot dogs code $3 and chili-cheese dogs cost $5. every hot dog (both kinds) comes with a wrapper. The hot dog salesman notices at the end of the dat he has made $145 and used 38 wrappers
Answer:
i love hotdogs
Step-by-step explanation:
Aiden works at a lab with a huge circular particle accelerator. It has a diameter of 8 kilometers. What is the accelerator's radius?
Step-by-step explanation:
Diameter = 2x Radius
Radius = 1/2 Diameter
[tex] = \frac{1}{2} \times 8 \\ = 4km[/tex]
Answer:
Hey mate!
The radius is 4kmHere's how:-
Diameter is 2 times the radius.
That means, the radius is half of the diameter.
So, radius equals 8 divided by 2.
Radius is 4cm.
Hope it helps!
If you have any more queries or didn't understand my answer, let me know in the comments so I can help you!
PLEASE HELPP!!!!
The wingspan of a hawk is the distance from the end of one spread-out wing to the end of the other spread-out wing. A scientist measured the wingspans of a random sample of hawks at a national park. Based on the median wingspan of the sample, the scientist estimates that the median wingspan of all hawks in the national park is 40 inches. Which graph most likely represents the data from the scientist's sample?
Answer:
D)
Step-by-step explanation:
It looks like the most sense
If I drive at `70` miles per hour, my journey will take `2.5` hours. How long will my journey take if I drive at `60` miles per hour? Explain your answer
Answer:
It'll take 25 more minutes
Step-by-step explanation:
Make up any linear equation with two variables the solution to which will be these pairs of numbers. x=2, y=4.5 PLS HELP
Answer:
[tex]y = 0.25x + 4[/tex]
[tex](x,y) = (2,4.5)[/tex]
Step-by-step explanation:
Given
[tex]x = 2[/tex]
[tex]y = 4.5[/tex]
Required
Make up a linear function
A linear function is represented as:
[tex]y = mx + b[/tex]
Assume [tex]b = 4[/tex]
The equation becomes
[tex]y = mx + 4[/tex]
Substitute [tex]x = 2[/tex] and [tex]y = 4.5[/tex] to solve for m
[tex]4.5 = m*2 + 4[/tex]
[tex]4.5 = 2m + 4\\[/tex]
Solve for m
[tex]2m = 4.5 - 4[/tex]
[tex]2m = 0.5[/tex]
[tex]m = 0.5/2[/tex]
[tex]m = 0.25[/tex]
So, we have:
[tex]m = 0.25[/tex], [tex]b = 4[/tex], [tex]x = 2[/tex] and [tex]y = 4.5[/tex]
[tex]y = mx + b[/tex] becomes
[tex]y = 0.25x + 4[/tex]
[tex](x,y) = (2,4.5)[/tex]
Stop and Shop sells 6 cases of Pepsi for $21.60. What is the constant of proportionality?
Answer: $3.60 per case
Step-by-step explanation: $21.60 divided by 6 = 3.60
Which of the following numbers is the SMALLEST?
(45 points)
Answer:
pretty sure its yellow sorry if its wrong
Step-by-step explanation:
Answer:
Hi! The answer to your question is C. 9 x [tex]10^{2}[/tex]
Step-by-step explanation:
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Sam has 3 water bottles. Together,Sam and Dave have at most 12 bottles of water
Answer:
Dave has 9 water bottles
Step-by-step explanation:
All 12 water bottles minus Sam's 3 water bottles equals Dave's 9 water bottles.
12 - 3 = 9
How can she might choose a random sample of five students from her class of 35 students?
Answer:
who?
Step-by-step explanation:
What is the surface area of a right circular cylindrical oil can, if the radius of its base is 4 inches and its height is 11 inches?
a. 85 pi in.2
b. 100 pi in.2
c. 120 pi in.2
d. 225 pi in.2
Answer:
c
Step-by-step explanation:
*
1. Find the value of the discriminant.
3x2 - 6x + 3 = 0
O 29
0 -18
OO
O 23
0 -18 is the answer to your question