Answer:
Step-by-step explanation:
Volume = πr²h = π·8²·17 = 1088π ≅ 3,418.1 ft³
Since this cylinder has a radius of 8 feet, its volume is equal to 3,418.5 cubic feet.
Given the following data:
Radius of cylinder = 8 feet.
Height of cylinder = 17 feet.
How to calculate the volume?Mathematically, the volume of a cylinder is given by this formula:
V = πr²h
Where:
h is the height.r is the radius.Substituting the given parameters into the formula, we have;
V = 3.142 × 8² × 17
V = 3.142 × 64 × 17
V = 3,418.5 cubic ft.
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PLS HELP ME!! :((
Find the volume, given that the apothem is 11.3 in. (hint: remember for regular polygons, A = 2 (apothem) (Perimeter) Round your answer to the nearest - tenth.
Answer:
V = 3085 in³
Step-by-step explanation:
The volume is given by:
[tex] V = A*h [/tex]
Where:
A: is the area
h: is the height = 7 in
The area of the polygon can be found by using the given equation:
[tex] A = \frac{1}{2}a*p [/tex]
Where:
a: is the apothem = 11.3 in
p: is the perimeter
The perimeter is:
[tex] p = 13*6 = 78 in [/tex]
Hence, the volume is:
[tex] V = A*h = \frac{1}{2}a*p*h = \frac{1}{2}11.3 in*78 in*7 in = 3085 in^{3} [/tex]
I hope it helps you!
A total of 12 runners complete in a race. The first three runners to cross the finish line will win medals. and how many different arrangements can the three medals be awarded?
A. 1,320
B. 79,833,600
C. 1,728
D. 220
What is the Total number of Outcomes for a family of 3 with having boys and girls?
There are 8 possible outcomes, all equally likely (if we assume each gender is equally likely). Hence the choice is 3/8. We can also think about it in at least one more way: You identified all the possible ways to get 2 boys and one girl.
5 times 4 times 2 times 2 divided by 2 minus 4
Answer:
36
Step-by-step explanation:
5 x 4 = 20
20 x 2 = 40
40 x 2 = 80
80 ÷ 2 = 40
40 - 4 = 36
2 ( x - 3 ) = 2x + 5 find the value of x
Answer: THERE IS NO VALUES OF X THAT MAKE THE EQUATION TRUE.
Step-by-step explanation:
NO SOLUTION
Answer:
2x-6=2x+5
2x-2x=5+6
=11
x/3 = -2 what does x equal
Answer:
x = -6
Step-by-step explanation:
Round the fraction to 0, 1/2, or 1.
4/7
Answer:
It is closer to 1/2 than anything
Step-by-step explanation:
so 1/2
Thomas lives more than 0.55 km and less than 0.75 km from his school.
Thomas lives from his school?
A. 0.06 km
B 0.50 km
c. 0.60 km
D. 1.30 km
Which choice could be the distance Thomas lives from his school?
hurry please i will give yo a thanks and a full star rating if you get it right please thanks
Answer:
12+21x
Step-by-step explanation:
The Boston Red Sox had 949 runs in their 2004 season. In their 2015 season, they had 748 runs. Find the rate of change in runs.
Answer: -18.27 per year
Step-by-step explanation:
The difference in years is:
= 2015 - 2004
= 11 years
In those 11 years, the runs decreased from 949 to 748.
The total decrease is:
= 949 - 748
= 201 runs
The rate of change is:
= 201 / 11
= 18.27 per year
Since it is reducing, the rate is:
= -18.27 per year
Find the surface area of
the net below
a. 25 square inches
b. 100 square inches
c. 75 square inches
d. 150 square inches
I will mark you branlist!!
Answer:
25
Step-by-step explanation:
1/5 x 125 = 25
Answer:
25 :)
Step-by-step explanation:
8.6 mi
18 mi
A) 53.2 mi?
C) 106.4 mi?
E) 212.8 mi?
B) 221 mi?
D) 110.5 mi?
Answer:
C
Step-by-step explanation:
Write the reciprocal of each mixed number.
1 1/6
Answer:
The reciprocal of mixed number is 6/11
pls answer ill give brainliest!
Step-by-step explanation:
i bileve false numver 1 false
Determine the mean of given data
-7, 6, -6,5, -5, -11
Answer:
-3
Step-by-step explanation:
-7+6-6+5-5-11/6 = -3
what is the slope of the line passing through the points (4,7) and (-2,10)?
Answer:
-1/2
Step-by-step explanation:
Answer:
the answer is the slope is -1/2
Heeeeeeeelp meeeeeee
Answer:
(-8+1)
Step-by-step explanation:
round 23.0975 to the nearest tenth
Answer:
23.1
Step-by-step explanation:
Answer:
23.0980. lol tell me.if it's wrong
Factorize the following:
49x² - 25
Answer:
(7x+5)(7x-5)
Step-by-step explanation:
We can use the difference of squares equation which states that when a number is multiplied like: (ax+b)(ax-b) then it equals (ax-b). In this equation, since there is no "b" in the typical ax^2+bx+c, we can recognize that the answer is not a square, but a difference of squares.
How does Hectors rate compare to the fitness challenge rate?
Answer:
> and greater than
Step-by-step explanation:
I just did the Iready
Answer:
> and greater
Step-by-step explanation:
The distance an object falls when dropped from a tower varies directly as the square of the time it falls. If the object falls 144 feet in 3 seconds, how far will it fall in 17 seconds? a 4046 ft b 272 ft c 4624 ft d 5202 ft answer is C
Answer:
the object will fall 792 feet in 17 seconds
Step-by-step explanation:
first you can do 144 multiplied by 5 because that would be 15 of those seconds next you would do 144 divided by 2 because you only need 2 seconds to reach 17 your answer would be 72 then you would do 720+72=792 so it would fall 792ft in 17 seconds
Step-by-step explanation:
Assuming the Height is denoted by "h" and the time by "t" , h=kt² since h varies as t².
When h=144ft , t=3
k=h/t²
k=144/3²
k= 16
This implies that h=16t² is the relation to be used.
Therefore when t= 17s, h=16*17²
h=4624ft
In a game involving a standard deck of 52 playing cards, an individual randomly draws 6 cards without
replacement. Let Y be the number of aces drawn.
What type of variable is Y?
Answer: Neither
Step-by-step explanation:
hi I hope you are all okay could someone help me with this math question thankyou !!!
y
∝
1
√
x
If
y
=
7
when
x
=
64
find,
x
when
y
=
8
Answer:
x = 49
Step-by-step explanation:
Given the mathematical expression and data;
y = 1/√x
y = 7 and x = 64
First of all, we would find the constant of proportionality, k;
y = k/√x
7 = k/√64
7 = k/8
k = 7 * 8
k = 56
Next, to find the value of x, when y = 8
y = k/√x
Substituting the values, we have;
8 = 56/√x
Cross-multiplying, we have;
8 * √x = 56
√x = 56/8
√x = 7
Taking the square of both sides, we have;
(√x)² = 7²
x = 49
If you were to randomly pick a ball from the pile below what is probably that the ball picked is a yellow ball
Answer:
1/4
Step-by-step explanation:
Sydney brings $200 to the mall. She buys a $ 70 watch and some shirts for $40 each.
Which inequality represents the situation?
Also determine how much money Sydney has left after she buys 2 shirts?
Question 2 options:
40x+70≤200, 50
40x+70<200, 120
110x>200, 128
40x+70≥200, 130
Answer:
A
Step-by-step explanation:
Which of the following best classifies a quadrilateral with coordinates A(7,0), B(3, 1), C(4,7), and D(8, 6)?
A.Rectangle
B.Parallelogram
C.Trapezoid
D.Square
Answer:
B. Parallelogram
Step-by-step explanation:
The opposite sides of the quadrilateral are equal and so the quadrilateral is a rectangle, the correct option is A.
What is a Quadrilateral?A quadrilateral is a polygon with four sides.
The coordinates of a quadrilateral are:
A(7,0), B(3, 1), C(4,7), and D(8, 6)
The distance between the coordinates has to be determined to identify the type of quadrilateral
The distance formula is
[tex]\rm D = \sqrt { ( x- x_1)^2 + (y-y_1)^2}[/tex]
[tex]\rm AB = \sqrt { (3-7)^2 + (1-0)^2}\\AB = \sqrt { 17}[/tex]
[tex]\rm BC = \sqrt { ( 1)^2 + (6)^2}\\BC = \sqrt {37}[/tex]
Similarly,
[tex]\rm CD= \sqrt { 17}\\\\AD = \sqrt{37}[/tex]
The opposite sides of the quadrilateral are equal and so it is a rectangle.
To know more about Quadrilateral
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Find the value of x.
Please help and can somebody tell me how to find x?
Answer:
x = 75°
Step-by-step explanation:
Sum of the interior angles of a triangle = 180°
Therefore,
78° + 27° + x° = 180°
Add like terms
105 + x = 180
105 + x - 105 = 180 - 105 (substraction property of equality)
x = 75°
There were approximately 3.3 x 108 people in the United States of America in 2018. The average person consumed about 3.4 x 10 milligrams of sodium cach day. Approximately
how much sodium was consumed in the USA in one day in 2018? Write answer in scientific notation.
Answer:(3.3 x 10^8) x (3.4 x 10^2) = 1.22 x 10^11
Step-by-step explanation:
The students at a High School earned money for an international animal rescue foundation. 82 seniors earned an average $26.75 per student, 74 juniors earned an average $12.25 per student, 96 sophomores earned an average $15.50 per student, and 99 freshmen earned an average $10.85 per student. What was the average collection for a student in this school?
A. $16.63
B. $16.13
C. $5.37
D. $16.34
Answer:
B. $16.13
Step-by-step explanation:
The Total Students= 82+74+96+99=351
Sum of earnings of 82 seniors = $26.75 x 82 = $ 2193.5
Sum of earnings of 74 juniors = $ 12.25 x 74 = $ 906.5
Sum of earnings of 96 sophomores = $15.50 x 96 = $ 1488
Sum of earnings of 99 freshmen= $ 10.85 x 99 = $ 1074.15
Total earnings = $2193.5 + $ 906.5 + $1488 + $ 1074.15 = $ 5662.15
( Total Earnings) ÷ (Total Students)
= $5662.15 ÷ 351
= $16.13