Answer:
18 cm
Step-by-step explanation:
The formula for the lateral surface area of a cylinder is
=>2πrh
In the question:
The lateral surface area of a cylinder is 288π square centimeters.
The height of the cylinder is 16 centimeters.
Hence:
288π => 2πrh
288π => 2 × π × r × 16
288π => 32πr
r => 288π/32π
r => 9 cm
The formula of Diameter is 2 × radius
= 2 × 9 cm
Diameter =>18 cm
The diameter of the cylinder in centimeters is 18 cm
The function h(0) = -16t2 + vt + 10 gives the height of a platform diver above the water, in feet, t seconds after
Complete Question:
The height of a diver jumping from a diving platform is about [tex]h(t)= 16t^2 +11t+10[/tex], where h is the height of the diver in feet above the water and t is the time measured in seconds, when diving from a platform about 34.3 feet above the water with an upward initial velocity of 11 ft/sec.. After how many seconds is the diver's height above the water 15 feet?
Answer:
0.3125 seconds
Step-by-step explanation:
Given
[tex]h(t)= 16t^2 +11t+10[/tex]
Required
Time when the diver is above 15ft
This implies that h(t) = 15
So, we have:
[tex]15= 16t^2 +11t+10[/tex]
Collect Like Terms
[tex]0= 16t^2 +11t+10 - 15[/tex]
[tex]0= 16t^2 +11t-5[/tex]
[tex]16t^2 +11t-5=0[/tex]
Expand:
[tex]16t^2 + 16t - 5t - 5 = 0[/tex]
Factorize:
[tex]16t(t + 1) - 5(t + 1) = 0[/tex]
[tex](16t - 5)(t + 1)=0[/tex]
Split
[tex]16t - 5 = 0[/tex] or [tex]t + 1 = 0[/tex]
[tex]16t = 5[/tex] or [tex]t + 1 = 0[/tex]
Solve for t
[tex]t = 5/16[/tex] or [tex]t = -1[/tex]
[tex]t = 0.3125[/tex] or [tex]t = -1[/tex]
But time can't be negative. So:
[tex]t = 0.3125[/tex]
Hence, it will take the diver 0.3125 seconds to be at a height above 15 feet
It will take t = 0.3125 seconds is the diver's height above the water 15 feet.
Given ,
The height of a diver jumping from a diving platform is h
h(t) = [tex]-16t^{2} + vt + 10[/tex]
The diver's height above the water 15 feet
Velocity = v = 11 ft per second
We have to find, t seconds is the diver's height above the water 15 feet.
According to the question,
[tex]h(t) = -16t^{2} +vt+10[/tex]
Where v = 11, h(t) = 15
15 = -16[tex]t^{2}[/tex] + 11t + 10
15 - 10 = [tex]-16t^{2} + 11t[/tex]
5 = [tex]-16t^{2} +11t[/tex]
[tex]16t^{2} -11t +5= 0[/tex]
[tex]16t^{2} -16t - 5t + 5 = 0[/tex]
16t ( t - 1 ) - 5 ( t + 1 ) = 0
(16t - 5 ) ( t + 1 ) = 0
16t - 5 = 0
16t = 5
t = [tex]\frac{5}{16}[/tex]
t = 0.3125
And t + 1 = 0
t = -1
Time can not be negative so we can't take t = -1 .
So, The required value of time is t = 0.3125
Hence, it will take t= 0.3125 seconds is the diver's height above the water 15 feet.
For the more information about Equation of motion click the link given below.
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32. The length of a rectangle measures six more than the width. The perimeter of the rectangle is 38.
What are the dimensions of the rectangle?
Answer: 12.5
You start with the equations "2x +2y=38" and "6+x=y". By adding and subtracting in the second equation, you get "2x +2y=38" and "x-y=-6". When you multiply the second equation by 2, you get "2x-2y=-12."
subtracting the equations "2x +2y=38" and "2x-2y=-12" gets you to "4y=50", where you have to divide two sides by 4 and get "y=12.5"
What is the square root of 75 using imaginary numbers
Answer:
8.660254038
Step-by-step explanation:
or 5✓3
hope this helps
Gordon types 2,184 words in 28 minutes. Find the unit rate. Gordon types ________ words per minute.
Answer:
78
Step-by-step explanation:
[tex]\frac{2184 words}{28 minutes} = \frac{78 words}{1 minute}[/tex]Answer:
It’s 78 words per minute
Step-by-step explanation:
To solve this problem do 2,184 divided by 28 this will equal 78
Please help and answer
Answer:
B) 4(6x) and 24x are equivalent.
I hope this was helpful to you! If it was, please consider rating, pressing thanks, and marking as Brainliest. Have a great day!
Can someone help me with this question? I am willing to give brainliest + 20 points. Please explain WHY you think this answer is correct so I can have a better understanding.
Answer:
The third
I think its the third because everyone added to the left is -2 from the right
Answer:
The answer is A becuase the initial value is what y is when x = 0 and if you see the pattern between 10 and 8 and also 8 and 6 you see the rate of change is -2. Just add 2 to y when x = 1 so 10 + 2 is 12 which gives the answer A.
Step-by-step explanation:
45 divided by 6x45(9-7)=?
Answer:
337.5
Step-by-step explanation:
Two groups of students order hamburgers and hot dogs at a local restaurant. The first group orders 3 hamburgers and 4 hot dogs for a total cost of $30.33. The second group orders 3 times as many hamburgers as the first group and 5 hot dogs. The second group’s total is $63.06. What is the cost of a hamburger at this restaurant?
Answer:
3.63666666667 or about $3.64
Step-by-step explanation:
63.06 - 30.33 = 32.73(this is the price for 9 hamburgers)
32.73/9 = 3.63666666667(The price for hamburgers.)
one day less than three weeks is how many days?
Answer:
21
Step-by-step explanation:
multiply 7 by 3=
7x3=21
jadas turtle walked 10 feet then half that length
Answer:
he walked 15 feet in total
Step-by-step explanation:
I'm not sure if u asked a question or not
Square PINT has vertices N(4, 2) and T(3, 8). What is the area of square PINT?
Answer: the answer is 37
Step-by-step explanation: someone said it was incorrect but it’s correct trust me my teacher gave us the answer
The area of the square PINT will be 37 square units.
What is an area of a square?The space occupied by any two-dimensional figure in a plane is called the area. Here we have three shapes a triangle, a rectangle, and a parallelogram.
Given that Square PINT has vertices N(4, 2) and T(3, 8). The area of the square will be calculated by finding the distance between two points N(4, 2) and T(3, 8), and squaring it.
The length of the line segment bridging two points on a plane is known as the distance between the points.
Area = Distance² = ( x₂ - x₁ )² + ( y₂ - y₁ )²
Area = Distance² = ( 4 - 3 )² + ( 8 - 2 )²
Area = Distance² = (1 )² + ( 6 )²
Area = Distance² = (1 )² + ( 6 )² = 37 square units
Therefore, the area of the square PINT will be 37 square units.
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Consider the line y=- 2x+7.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Answer:
the slope is rhe same -2
Step-by-step explanation:
the slope is the opposite +1/2
Label the parts of the graph listen item bank or some important labels for sections of the image below to find out more information about labels some have more details available when you click on them drag and drop each label to the corresponding area it identifies in the image
Answer:
The point in the middle at (0,0) is the origin. The line that goes up and down is the y-axis. The lign that goes left to right is the x axis. The y intercept is at (0,-5). The x intercept is at (6,0).
Step-by-step explanation:
The answer is attached.
What are intercepts?The point where the line or curve crosses the axis of the graph is called intercept.
xy-axes:- The x and y-axis are two important lines of the coordinate plane. The x-axis is a horizontal number line and the y-axis is a vertical number line.
xy-intercepts:-
If a point crosses the x-axis, then it is called the x-intercept. If a point crosses the y-axis, then it is called the y-intercept.
For more references on intercepts, click;
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Need help for this problem
Answer:
161 degrees
Step-by-step explanation:
corresponding angles theorem
Answer:
161
Step-by-step explanation:
if g and h are parallel, angle 4 and 161 are the same
Let a = 8i + 2j, b = –3i + j, and c = 2i – 5j, where i and j are unit vectors.
What is 4a + 2b – 9c in terms of i and j?
8i – 35j
8i – 2j
8i + 53j
8i + 55j
Answer:
D
Step-by-step explanation:
The value of the vector (4a + 2b – 9c) as per scaler multiplication of vector method is 8i + 55j.
What is vector?A vector is a physical quantity that has both magnitude and direction.
What is unit vector?A vector that has magnitude of 1 is called unit vector.
Given, a = 8i + 2j, b = –3i + j, and c = 2i – 5j.
In order to find the value of the vector (4a + 2b – 9c) in terms of i and j, we need to perform scaler multiplication of vector.
Here, i and j are unit vectors.
Therefore: (4a + 2b – 9c)
= 4(8i + 2j) + 2(–3i + j) - 9(2i – 5j)
= (32i + 8j - 6i + 2j - 18i + 45j)
= (8i + 55j)
Therefore, Option(D) is correct answer.
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she uses 2/3 cup of sugar to make 1/4 sheet cake.how much sugar would she need to make a full sheet cake?
Answer:
Answer: B 2 2/3 mark em brainliest plz
Step-by-step explanation:
2/3 + 2/3+2/3+2/3= 2.66 also 2 2/3 2/3 times 4= 2 2/3
Evaluate x/y if f x = 14 and y=-2
Answer:
-7
Step-by-step explanation:
First, we need to substitute x in as 14 since that is what x is equal to.
1. x / y => 14 / y
Next, we need to substitute y in as -2 since that is what y is equal to.
2. 14 / y => 14 / -2
Now to solve it;
3. 14 / -2 => -7
So now we now that x / y equals -7 when x = 14 and y = -2.
Feel free to give brainliest.
Have an awesome day! Happy Thanksgiving!
is the relation a function? explain
Answer:
Yes the input x is only used once all the first numbers are different
Step-by-step explanation:
11,7
22,7
15,8
what is the slope of (7,-8) and (9,9).....
Answer:
(7,8) = 0,0) (−6,6)
(5,4) (−9,7)
(0,1) (1,0)
(9,9) = (0,9) (8,6)
(−5,9) (3,0)
(1,−2) (3,6)
Write the square root for each number
Step-by-step explanation:
7=2 8=12 10=10 11=9
Answer:
√(4) is 2
√(100) is 10
√(144) is 12
√(81) is 9
write the slope intercept form of the equation of the line that goes through the point (5,-6) and has a slope of 2
Answer:
y = 2x - 16
Step-by-step explanation:
Slope-intercept form: y = mx + b
Given:
Slope(m): 2
Point: (5, -6)
To write the equation in slope-intercept form we need to find the slope(m) and the y-intercept(b).
Since we were given the value of the slope, the only thing we have to do is find the y-intercept. To do this, input the values of the slope and the given point into the equation and solve for b:
y = mx + b
-6 = 2(5) + b
-6 = 10 + b
-16 = b
The y-intercept is -16.
Now that we know the slope and the y-intercept, we can write the equation:
y = 2x - 16
pleaseee help
will mark BRAINLIEST
Answer:
(2,-1) is the answer
Step-by-step explanation:
my aunt told me ::(())
Answer:
(2,-1)
Step-by-step explanation:
79 questions dang
What’s the slope,y-intercept, transformations of (-) and (2)
List the set or sets to which each number belongs
what is the value of f(x)=2/3x + 4 when x = 9
Answer:
10
Step-by-step explanation:
Given
f(x) = [tex]\frac{2}{3}[/tex] x + 4 ← substitute x = 9
f(9) = [tex]\frac{2}{3}[/tex] × 9 + 4
= 2 × 3 + 4
= 6 + 4
= 10
Pls help .............
Answer:
Top one
Step-by-step explanation:
HELP ME FAST PLZZ!!!! I REALLY NEED HELP!!! 20 POINTS PLZ HELP
Answer:
you didnt add the options of what the drop downs were for
Step-by-step explanation:
What is X? 3x - 24 = 81
Answer:
35 would be your answer
Step-by-step explanation:
3x-24=81
So first off, add 24 to 24 and 81
You would get 3=105
Now divide 3/3 and 105/3 which will get you 35!
Hopefully this helps!
Answer: 35
Step-by-step explanation:
you add 24 to the other side of the equal sign and you get 105. then you’re left with 3x=105 and you divide 105 by 3 and get 35=x
The question I have is 17x5x8+15
Answer:
695
Step-by-step explanation:
[tex]17*5*8+15\\=17*40+15\\=680+15\\=695[/tex]
2,996 ÷ 11
What is the quotient and remainder
Answer:
2,996 ÷ 11 = 272.36
Step-by-step explanation:
