Answer:
The answer is H
The volume of this right circular cylinder is 64π cubic yards. If h, the height of the cylinder, is 4 yards, what is r, the radius of the base?
Answer:
h = 4 cm
Step-by-step explanation:
The formula for volume of a cylinder is
V = πr²h where V is the volume, r is the radius, and h is the height.
We are given V = 64π, and r = 4, plug those in and solve for h
64π = π(4²)h
64π = 16πh
(64π)/(16π) = (16πh)/(16π) (divide both sides by 16π)
4 = (16π)/(16π)h
4 = h
Here, we are provided a right circular cylinder with :
Volume = 64 π cubic yards Height = 4 yards Radius = ?We know that :
[tex] \quad\hookrightarrow\quad{\pmb{ \mathfrak { Volume = \pi r^2 h }}}[/tex]
Therefore,
[tex] \implies\quad \sf{V = \pi r^2 h }[/tex]
[tex] \implies\quad \sf{64\pi = \pi r^2 \times 4 }[/tex]
[tex] \implies\quad \sf{ \pi r^2 \times 4 = 64\pi}[/tex]
[tex] \implies\quad \sf{r^2 =\dfrac{64\pi}{\pi \times 4} }[/tex]
[tex] \implies\quad \sf{ r^2 =\dfrac{\cancel{64}}{\cancel{4}}\times \cancel{\dfrac{\pi}{\pi}}}[/tex]
[tex] \implies\quad \sf{ r^2 = 16}[/tex]
[tex] \implies\quad \sf{r=\sqrt{16} }[/tex]
[tex] \implies\quad \underline{\underline{\pmb{\sf{r= 4}}} }[/tex]
Uncle Ron had 10 boxes of red pens and 15 boxes of blue pens. There were 47 red pens in each box. He sold 326 red pens and 471 blue pens. If he had 453 pens left, (a) how many blue pens did Uncle Ron have left? (b) how many blue pens were in each box?
please explain! and show your work! thanks
10 × 47 = 470
(a) 470 – 326 = 144
453 – 144 = 309
309 The number of blue pens Uncle Ron had left was
309 + 471 = 780
(b)
780 ÷ 15 = 52
Thus , 52 blue pens were in each box.
Step-by-step explanation:
How come by the 56 pound bag of black beans and 3/4 pound bag of pinto beans how many pounds of beans is Malcolm By in all?
Answer:
it is 42 pounds of beans that Malcolm has
Which are solutions of the linear equation?
Select all that apply. 3x + y = -10
(-1, -6)
(-2 -4)
(-3,1)
(-4. 3)
(-5. 5)
Answer:
The answer is (-5,5).
Step-by-step explanation:
y = 10 - 3x
Substitute the options you get 5 for y which makes (-5,5) the answer.
Hurry please
Write the equation of a line PERPENDICULAR to the line y = 3x + 2 that passes through
the point (9,-2)
A. y=-1/3x +1
B. y=-1/3x-5
C. y=1/3x-5
D. y = 3x-29
Answer:
y=3x-7
Step-by-step explanation:
To find the equation of a perpendicular line, you first need to find the negative reciprocal of the slope given. The slope is -1/3, so the slope of the perpendicular line will be 3
Now we just need to find the y intercept using the point (3, 2) and you can plug the coordinates in and then solve for b. Let's see what that looks like.
y=3x+b
2=3*(3)+b
2=9+b
-7=b So now we know the y-intercept and slope. We just put them together now
y=3x-7
Hope this helps!
Question 22 (1 point)
Find the pair of acute angles that corresponds to the solution of the equation sin(3x + 3)° = cos(x + 71).
15°, 85°
a
Oь
15°; 75°
Ос
75°; 105°
O
d
11°, 790
Answer:
75,15
Step-by-step explanation:
[tex] \sin(90 - x) = \cos(x) [/tex]
[tex] \sin(90 - (3x + 3) = \cos(x + 71) [/tex]
[tex]90 - 3x - 3 = x + 71[/tex]
[tex]87 =4 x + 71[/tex]
[tex]16 = 4x[/tex]
[tex]x = 4[/tex]
Plug in 4 for x and one of the angles we get are 75 and the other would be 15.
What is the value of x?
to
x = [?]°
o
Answer:
The value of x from the figure is 58 degrees
To get the value of x, we will use the formula:
The angle at the vertex = 1/2(difference of angles at the arc)
Angle at the vertex = 1/2(160 - x)
51 = 1/2(160 - x)
102 = 160 - x
x = 160 - 102
x = 58 degrees
Hence the value of x from the figure is 58 degrees
4 /5 fraction can be rewritten as _____
Answer:
8/10, 12/15, 16/20 and so on
Step-by-step explanation:
4x2/5x2 = 8/10
4x3/5x3 = 12/15
4x4/5x4 = 16/20 and so on
Which system of equations has no solution? HELP ASAP!!!!!!
Answer:
its the 4th one is the answer
Is a triangle with the sides of 32, 60, and 68 a right triangle?
In order for a triangle to be considered a right triangle, one of the sides must be 90°. In this case, the triangle is not because none of the three sides equals 90°
A bus company is replacing all the old seats in its buses with new ones. The company owns 12 buses and each bus has 21 seats. It costs $93.50 to
purchase each new seat, as well as an additional $31.20 to install each new seat. What is the total cost the company will pay?
Answer:
54,992.70$
Step-by-step explanation:
93.50 x 21 = 1963.5
31.20 x 21 = 655.2
1963.5 + 655.2 = 2618.7
2618.7 x 12 = 54,992.70$
a can of pepsi has a radius of 1.3 inches and a height of 4.8 inches find the volume of the cans
Answer:
Approximately 25.48
Step-by-step explanation:
V = πr²h
V=πr2h=π·1.32·4.8≈25.4846
V ≈ 25.48
Find the area of this parallelogram
Answer:
101.46
Step-by-step explanation:
Area= Lenght x With
Soo you would do 11.4 x 8.9 and get 101.46cm!
The area of the parallelogram with a height of 7.1 cm will be 80.94 square cm.
What is the area of the parallelogram?Let H be the height and W be the width of the parallelogram. Then the area of the parallelogram will be given as,
Area of the parallelogram = H × W square units
From the graph, the width of the base of the parallelogram is 11.4 cm. And the height of the parallelogram is 7.1 cm.
The area of the parallelogram is given as,
A = 11.4 x 7.1
A = 80.94 square cm
The area of the parallelogram with a height of 7.1 cm will be 80.94 square cm.
More about the area of the parallelogram link is given below.
https://brainly.com/question/16052466
#SPJ2
solve for a: a^2/3 = 25
Answer:
125
Step-by-step explanation:
a⅔=25
2/3root each you get root 2/3of 25
PLEASE HELP ME!!!
Solve in substitution form step by step please
Answer:
3. (3,-4)
Step-by-step explanation:
.....................
Answer:
88 cm
Step-by-step explanation:
to find the circumference of a circle you can use the equation
d(pi)
d being diameter and pi in this case being 22/7
so you can directly multiply 28 and 22/7
28/1 * 22/7
you can cross cancel 28 and 7 making them 4 and 1 respectively
then you have 4/1 * 22/1
that is also 4 * 22
that is 88
John earns an 8% commission for each television he sells. If John sells a television for $700, how much commission will he earn?
Answer:$56
Step-by-step explanation:
x/700 = 8/100
(8)700 = 5,600
5,600/100 = 56
Solve for x
thank you
Answer:
x = 28
Step-by-step explanation:
(x + 9)° + (2x + 5)° + (3x - 2)°= 180°
(6x + 12)° = 180°
[tex]6x=180-12[/tex]
[tex]x =\frac{168}{6} =28[/tex]
Hope this helps
QUICK whoever gives correct answer will get brainliest please and thank you.
Answer:
D
Step-by-step explanation:
A genre is something like historical fiction, fantasy, science fiction, etc. Answer D establishes the story as being a fantasy. The other 3 answers show elements that could be included in any story but don't narrow down the story's genre.
Express cos I as a fraction in simplest terms
What is the surface area of the box, in square feet, that Zoey decorates?
Answer:
should be 1006
Step-by-step explanation:
Jane has 4 more jelly beans than Dan. If Jane has 13 jelly beans, how many jelly beans does Dan have
Answer:
Dan would have 9 jellybeans.
Step-by-step explanation:
Since Jane has 4 more, all we have to do is subtract 4 from 13 to get the answer, 9.
which is bigger 0.2,1/2 or 2%
Answer:
See below.
Step-by-step explanation:
0.2, 1/2, 2%
Convert the other two to decimals to make our lives temporarily easier.
1/2 = 0.5
2% = 0.02
0.2, 0.5, 0.02
The greater term is 0.5, or 1/2.
-hope it helps
Answer:
1/2
Step-by-step explanation:
0.2 = 0.2
1/2 = 0.5
2% = 2/100 = 0.02
From smallest to biggest:
2%, 0.2, 1/2
Answer: The biggest one is 1/2
Indicate if the following would result in a random sample or a biased sample
Use a pattern, such as selecting every fourth person who enters the cafeteria
A. biased
B. random
Answer:
biased
Step-by-step explanation:
i took the test and I got it right
A right triangle has one leg that is 7 centimeters. The hypotenuse is 25 centimeters. Find the length of the other leg.
Since this is a right triangle, we can use the Pythagorean Theorem to help us.
[tex](length-of-leg1)^2+(length-of-leg2)^2 = (length-of-hypotenuse)^2\\[/tex]
Known information:
one leg's length: 7 cmhypotenuse's length: 25cmNow let's plug the known information into the equation:
[tex]7^2 + (length-of-leg2)^2=25^2\\(length-of-leg2)^2 = 25^2-7^2\\\\(length-of-leg2)^2 = 576\\\\length-of-leg2=24[/tex]
Thus the length of the other leg is 24cm.
Hope it helps!
Factor completely 8x2 − 4x − 84. 4(2x − 3)(x 7) 4(2x 3)(x − 7) 4(x − 3)(2x 7) 4(x 3)(2x − 7).
The factor of the given equation [tex]8x^{2} -4x-84[/tex] will be [tex]4(x+3)(2x-7)[/tex]
What will be the factor of the given equation?Given equation is [tex]8x^{2} -4x-84[/tex]
Now taking 2 commons from the equation
[tex]4(2x^{2} -x-21)[/tex]
now splitting the equation we get
[tex]4(2x^{2} +6x-7x-21)[/tex]
[tex]4(2x(x+3)-7(x+3))[/tex]
[tex]4(x+3)(2x-7)[/tex]
Thus the factor of the given equation [tex]8x^{2} -4x-84[/tex] will be
[tex]4(x+3)(2x-7)[/tex]
To know more about Factors of quadratic equation follow
https://brainly.com/question/1214333
Find x plissssssssssssss
Jaq ueline has 15 cookies to share with her study group. If there are 4 kids in the group and they want to split the cookies evenly they are even willing to cut a cookie if they need to. how many cookies will each person get?
Answer:
Each person can get 3 3/4 cookies.
The area of a square-shaped rug is 144 ft^2. What is the perimeter, in feet, of the rug?
Answer:
48 feet
Step-by-step explanation:
The rug is a square so that means that the sides are going to be the same length. 12*12 = 144 so the lengths of the sides are 12 feet. 12+12+12+12 = 48
hope this helped! :)
Answer:
I might be wrong but I believe the answer is 48 ft.
Step-by-step explanation:
Factor the expression below.
15x3+10x2
Answer:
5 x 2 ( 3 x + 2 )
Step-by-step explanation: