Answer:
Diameter of the pipe ≈ 6.77 ft
Step-by-step explanation:
Volume of a cylinder = πr²h
Here, r = Radius of the cylindrical pipe
h = Length of the pipe
Volume of the pipe = 900 ft³
Length of the pipe = 25 ft
By substituting the given values in the formula,
900 = π(r)²(25)
r² = [tex]\frac{900}{25\pi}[/tex]
r = √11.459
r = 3.385
Diameter = 2(radius)
= 2(3.385)
= 6.77 ft
The diameter of the cylinderi is 6.77ft
Volume of a cylinderthe formula for calculating thevolume of a cylinder is given as
V = pi d²/4 × h
Given the following
V = 900ft³
h = 25ft
Substitute the given parameters
900 = 3.14 × d²/4 × 25
900 = 19.625d²
d² = 45.859
d = 6.77ft
Hence the diameter of the cylinderi is 6.77ft
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what is the value of 11²
Answer: 121
11^2 = 11 x 11 = 121
Answer:
121
Step-by-step explanation:
To square a number, we have to multiply the number by itself. This means we'll multiply 11 by 11.
11 · 11 = 121
So, 11² = 121.
I hope this helps :)
(5y+4)+(−2y+6)= find the sum
Answer:
-32
Step-by-step explanation:
17.39 divided by 4.7
Answer:
3.7 is the right answer
Step-by-step explanation:
Answer:
3.7
Step-by-step explanation:
Aretha's teacher will choose two students from a class of 10 to prepare a display. Assuming the teacher chooses these students at random,
what is the probability that Aretha will not be chosen?
Answer:
80% chance she will not be chosen
Step-by-step explanation:
the ratio of students picked would be 2:10 so there would be 8:10 students not chosen that is 80%. 20% chance she would be chosen.
I hope this is correct!
The probability that Aretha will not be chosen is 0.8.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
Given that, Aretha's teacher will choose two students from a class of 10 to prepare a display.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes
Probability of choosing 2students =2/10
Probability of not choosing students = 1-2/10
= 8/10
= 0.8
Therefore, the probability that Aretha will not be chosen is 0.8.
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A man invests $16800 in a savings plan that pays simple interest at a rate of 5% per annum. Find the time taken for his investment to grow to $19800.
Answer: 3.57 years
Step-by-step explanation:
Based on the question given, the interest is the difference between the amount and the principal which will be:
= $19800 - $16800
= $3000
The formula for Simple interest is given as:
Interest = Principal × Rate × Time
3000 = 16800 × 5% × Time
3000 = 16800 × 0.05 × Time
3000 = 840 × Time
Time = 3000 / 840
Time = 3.57
The time taken to grow the investment is 3.57 years
A rectangle with a length of 22 feet and an unkown width,W, has a perimeter of 74 feet. Set up and slove an equation to find the vaulur of W
Answer: W=15
Step-by-step explanation: The equation you set up is 2(L) + 2(W)=74
2(22) + 2W=74
44+2W=74
Subtract 44 from both sides
2W=30
Divide both sides by 2
W=15
Find a formula for the nth term
of the arithmetic sequence.
First term 2.5
Common difference -0.2
An = [? ]n +
Triangle ABC is isosceles with AB=CB. Circle M is inscribed in Triangle ABC such that it is tangent at points D, E, and F. If the length of BF is twice the length of CF and the perimeter of Triangle ABC is 32 inches, then determine the length of side BC in inches.
Answer:
The answer is "12 inches".
Step-by-step explanation:
Please find the image file of the graph.
We know [tex]AE = CF \ and \ EB = FB[/tex] so because the triangle is isosceles.
[tex]EB = 2x, FB = 2x,\ and \ CF = x[/tex] when [tex]AE[/tex] is called by [tex]x[/tex].
We know that [tex]AE = AD = x[/tex] since E and D are tangent points to a circle.
They have [tex]CD = CF = x[/tex] since D and F are tangent points only to circle.
Thus, if the perimeter is 32, the following is the result:
[tex]\to AE + EB + BF + FC + CD + DA = 32\\\\\to x + 2x + 2x + x + x + x = 32\\\\\to 8x = 32\\\\\to x = 4[/tex]
Therefore the length of [tex]BC = BF + FC = 2x + x = 3x = 12\ inches[/tex]
Given g(x)=3x+5g(x)=3x+5, find g(-6)g(−6).
Answer:
Step-by-step explanation:
hello :
g(x)=3x+5
g(−6).=3(-6) +5 = -18+5 = -13
URGENT - PLEASE HELP 25 POINTS AND BRAINIEST
A right triangle has legs that measure 5 and x - 1
Its hypotenuse measures x.
Solve for x
ABC is a right triangle. calculate the length of side BC (the hypotenuse)
Answer:
we have
C=(2,-1)
B=(-2,3)
since
BC is hypotenuse
length of BC=√[(-2-2)²+(3+1)²]=√32=4√2 units is your answer
PLEASE HELP ILL GIVE BRAINLIEST
You walked 30 miles in 6hours. What was your average speed? a. 5mph b.80 mph c. 24mph d. 18 mph
Answer:
5 mph.
Step-by-step explanation:
5x6 equals 30. 30 divided by 6 equals five. Hope it helps
Answer:
A. 5mph
Step-by-step explanation:
30m = 6h
/6 /6
5m = 1h
5mph
What's the equation for a circle of (2,-5) and a radius of 2
Answer:
(x+5)2+(y+5)2=22, or (x+5)2+(y+5)2=4.
Step-by-step explanation:
Answer:
(x - 2)^2 + (y + 5)^2 = 2^2
Step-by-step explanation:
Adapt the standard equation of a circle with center at (h, k) and radius r:
(x - 2)^2 + (y + 5)^2 = 2^2, where h = 2 and k = -5 and r = 2
Question 3
The population of a sample of bacteria triples every minute. If the initial population of the sample is 2 bacteria, Nicholas believes
the equation p-2(3)' can be used to find the total population after t minutes,
=
Is Nicholas correct? If not, why not?
a.No, Nicholas switched the initial population and the rate. The equation should be P - 3(2)'
b.No, Nicholas should have wrrtten a linear equation. The equation should be P - 2+ 31
c.Yes, Nicholas is correct.
Answer:
C. Yes nicholas is right.
Find the area of the trapezoid
A. 168 in^2
B. 94.5 ft^2
C. 72 ft^2
D. 84 ft^2
Answer:
D. 84 ft^2
Step-by-step explanation:
Formula for area of a trapezoid:
[tex]A=\frac{a+b}{2} h[/tex]
where a and b = bases and h = height
The trapezoid shown has the following dimensions
base 1 = 9ft
base 2 = 12ft
height = 8ft
Using the following information we plug in the values into the formula
[tex]A=\frac{9+12}{2} \\9+12=21\\\frac{21}{2} =10.5\\10.5*8=84[/tex]
Hence, the area of the trapezoid is 84ft² and your answer is D
Awnser question and show your work if you can (i will give brainliest
Answer:
answer is -1.75
Step-by-step explanation:
[tex]y = 12 \\ y = - 4x + 5 \\ \\ \: \: \: \: 12 = - 4x + 5 \\ - 5 \: \: \: \: \: \: \: \: \: \: \: - 5 \\ \\ 7 = - 4x \\ \div - 4 \: \: \: \: on \: both \: sides \\ \\ - 1.75 = x[/tex]
Solve for x.
10
8
6
Answer:
18
Step-by-step explanation:
Intersecting Secants Theorem:
6(x + 6) = 8(8 + 10)
6x + 36 = 8(18)
6x + 36 = 144
6x = 144 - 36
6x = 108
x = 18
Last week the team ran 21 1/2 miles total. this week the track coach had the team run 5 1/2 miles on monday and 4 3/4 miles on tuesday. the next three days the team averaged 6 miles a day
At 6 a.m. the temperatures was at 4.05 degrees Fahrenheit by noon the temperature had risen 16.3 degrees Fahrenheit what was the temperature at noon?
Answer:
15°F at 3:00 a.m.
Step-by-step explanation:
Pythagorean Theorem Level 2
Answer:
10
Step-by-step explanation:
Pyth. Theorem:
a = leg, b = leg, c = hypotenuse
[tex]c = \sqrt{ {a}^{2} + {b}^{2} }[/tex]
The length of the third side
=
[tex]\sqrt{ {5 \sqrt{3} }^{2} + {5}^{2} }[/tex]
=
[tex]\sqrt{75 + 25}[/tex]
=
[tex]\sqrt{100}[/tex]
= 10
In the triangle below, with right angle
Find the degree measure of each angle in the triangle.
Answer:
90°, 62.8° and 27.2°
Step-by-step explanation:
180 = 5x + 133
47 = 5x
9.4= x
2 * 9.4 + 44 = 62.8°
3 * 9.4 - 1 = 27.2°
What is the perimeter?
Answer:
41.13m
Step-by-step explanation:
the circumference of the circle is 25.13 and the 8 on both sides equals to 16
A six sided die is rolled and a spinner with 5 equal spaces labeled A-E is spun. Find the P(rolling
a 1 and spinning A). Answer as simplified fraction.
Answer:
1 / 30
Step-by-step explanation:
For a six - sided die :
Sample space = (1, 2, 3, 4, 5, 6)
P(rolling a 1) = required outcome / sample space = 1/6
Sample space for spinner = (A, B, C, D, E)
P(spinning A ) = required outcome / sample space = 1/5
P(spinning A) = 1 / 5
P(rolling a 1 and spinning A) = P(rolling a 1) * P(spinning A) = 1/6 * 1/5 = 1 / 30
What is the value of b?
Help please
Answer:
4/3 is ur answer which is equal to 6.92820323028
which i B's side length
Step-by-step explanation:
At a point on the ground 50 feet from the foot of
a tree, the angle of elevation to the top of the tree is 53º. Find
the height of the tree.
Answer:
[tex] \tan(53) = \frac{x}{50} \\ x = \tan(53) \times 50 \\ x = 66.35 \: feet[/tex]
Step-by-step explanation:
I hope that is useful for you :)
The height of the tree with angle of elevation of 53⁰ is 66 ft.
What is Angle of Elevation?The angle of elevation is the angle between the horizontal line of sight and the object.
Here, Let the height of the tree be x ft.
The angle of elevation = 53⁰
Distance from ground = 50 ft.
According to question,
tan 53⁰ = x/50
x = 50 × tan 53⁰
x = 50 X 1.32
x = 66 ft.
Thus, the height of the tree with angle of elevation of 53⁰ is 66 ft.
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Which is not a characteristic of an exponential parent function?
O A. It passes through (0,1).
O B. The domain is all real numbers.
O C. It goes through the origin.
O D. The range is positive real numbers (y > 0).
Given:
The characteristic of an exponential parent function in the options.
To find:
Which is not a characteristic of an exponential parent function?
Solution:
The exponential parent function is:
[tex]y=b^x[/tex]
Where, [tex]b>0[/tex].
At [tex]x=0[/tex],
[tex]y=b^0[/tex]
[tex]y=1[/tex]
It means the function passes through the point (0,1) but it does not passes through the origin. So, the statement in option A is true but the statement in option C is false.
The domain of the exponential parent function is all real numbers and the range is positive real numbers (y > 0). So, the statements in the options B and D are true.
Therefore, the correct option is C.
Molly keeps a record of her money on a calendar. She had $112.64 saved prior to the week shown in the partial calendar. How much money did Molly have left at the end of this week?
bIt was like any other day. I woke up to the sound of Fletchling in the trees. Wait is that the sound of Fletchling!? Am I still dreaming or have all my dreams just come true?............
I did everything in my power to see if I was dreaming and I wasn’t. This was the start of a new beginning. I knew what had to happen next. Just then, Professor Oak walked in and my mom came into the room and said,”Charles I think you should stay here.”
But like any kid would do I didn’t listen.
Then it all came back like a flood.
I peeked out of a crack in my door and saw my mom and the Professor talking. I couldn’t tell what they were saying but there was a box on the table and it had my name on it. The addresser: Anonymous.
Angle Sum Theorem
33°
87°
х
у
X = [? ]
please help! I will mark brainlest!!
Answer:
x=60
Step-by-step explanation:
everytime you have a right triangle it equals 180 degrees so you just have to add the two angles then subtract 180 from it and it you need Y just do 60-180=120 because it is an obtuse equals 180 as well.
Solve for h. 28 = h 9 + 23
Answer:
28 = h 9 + 23
28 = h 32
h = 32 - 23
h = 9
Which set of ordered pairs (x, y) could represent a linear function of x?? A ((-2,8), (0,4) , (2, 3) , (4,2)) B ((1,2), (1,3),(1,4), (1,5)) C ((-2,7) , (0,12),(2,17),(4,22)) D ((3,5), 4,7) , (3, 9) , (5,11))
Answer:
A linear function is when it goes up the same amount each time. The first one does because it increases by 2 each time, so A
Step-by-step explanation:
