Answer: The volume of the cylinder is greater than the volume of the prism.
Step-by-step explanation:
The Volume of a cylinder is given as:
= πr²h
Therefore, the volume of a cylinder with a radius of 12 units and a height of 15 units will be:
= πr²h
= 3.14 × 12² × 15
= 6782.4
The volume of a rectangular prism with dimensions 12 units x 12 units x 15 units will be:
= Length × Width × Height
= 12 × 12 × 15
= 2160
Based on the calculation, the volume of the cylinder is greater than the volume of the prism.
The range of a projectile that is launched with an initial velocity v at an angle of a with the horizontal is given by R
sin
where g is the acceleration due to gravity or 9.8 meters per second squared. If a projectile is launched with an initial velocity of 1
meters per second, what angle is required to achieve a range of 20 meters? Round answers to the nearest whole number.
Answer:
[tex]\theta=30.285^{\circ}[/tex]
Step-by-step explanation:
The range of a projectile is given by :
[tex]R=\dfrac{u^2\sin2\theta}{g}[/tex]
Put R = 20 m, u = 15 m/s and finding the value of angle of projection
So,
[tex]R=\dfrac{u^2\sin2\theta}{g}\\\\\sin2\theta=\dfrac{Rg}{u^2}\\\\\sin2\theta=\dfrac{20\times 9.8}{15^2}\\\\\sin2\theta=0.871\\\\2\theta=\sin^{-1}(0.871)\\\\2\theta=60.57\\\\\theta=30.285^{\circ}[/tex]
So, the required angle of projection is equal to [tex]30.285^{\circ}[/tex].
how do u turn 3 into a fraction?
Answer:
[tex]\frac{3}{1}[/tex]
Step-by-step explanation:
Put a 1 under it.
Which of the following relations is a function?
O A. {(2,- ), (-1, -1), (0,0), (1, 1)}
OB.{(2,0), (0, 3), (0, 1), (,1)
OC... {1-2, 1), (-1,0), (0, 1), (-2,2)}
OD. {(-2, 4), (-1, 1), (0,0), (1, 1)}
Reset
Next
Answer: D
Step-by-step explanation:
Find the absolute value of the number for point E.
Answer:
1
Step-by-step explanation:
Answer:
The answer is 1
Step-by-step explanation:
E is -1 and the absolute value is the posotive of any number. The positive of -1 is 1.
Select the correct answer.
Which value in this data set is an outlier?
4,5, 1, 7, 4, 5, 8, 9, 6, 5, 4, 9,7
O A. 1
OB.
N
O C.
3
D. 9
Answer:
answer is 1
Step-by-step explanation:
Find the Volume. Use pi=3.14. Round to the nearest hundredth.
4.19in^3
419in
4.2cm^3
0.52in^3
Step-by-step explanation:
radius = 1 inches
π = 3.14
volume of SPHERE = 4/3 × π × radius³
= 4/3 × 3.14 × 1³
= 4.19 inches³
How many inches is 9 Yards Have
Answer:
324
Step-by-step explanation:
1 yards = 36 inches
36 x 9 = 324
Ben conducted an experiment to determine the association between the number of hours spent studying per day with GPA. The line of best fit for his data has a slope of 1, with time, in hours, as the independent variable x and GPA as the dependent variable, y. What does a slope of 1 mean in this context?
A) GPA is 1 point every hour.
B) GPA of 1 point is at zero hours.
C) GPA increases by 1 additional point per hour.
D) Time decreases by 1 hour for every GPA point increase.
Answer:
C.
Step-by-step explanation:
Since the slope is 1 meaning it goes up and over by 1 the GPA would increase by 1 every hour
Answer:
c
Step-by-step explanation:
What is the area of this triangle in the coordinate plane? 5 units 6 units 7 units 12 units?
Answer:
6 units
Step-by-step explanation:
Using readings taken from the coordinate upon which the triangle is drawn :
The area of triangle is given as :
Area of triangle = 0.5 * base * height
The base of the triangle = 4 units
The height of the triangle = 3 units
The Area of the triangle is thus :
0.5 * 4 * 3
0.5 * 12
= 6 units
Answer:
The area of the given triangle is 6 units²
I really need help!!!!!!
Answer:
y = 1.50x + 4 ;
Step-by-step explanation:
Given that bike rental cost $4 plus $1.50 per hour
From the information given, the change in y per unit change in x is the value of the slope ;
Therefore, Given that total cost = y and x) number of hours
Change in cost per change in number of hours) 1.50 = slope ; intercept = constant = $4
The equation, in slope intercept form :
y = mx + c
y = 1.50x + 4
HELP ASAP! first one to answer gets brainliest and 15 points
No links or fake answers
5 questions attached
Answer:
1st: x-120
2nd: 0
3rd: x+12
4th: 120 + x
5th: x+12
im pretty sure that's right...?
I won't get brainliest lol
HELP ME PLZZ
A cone has a volume of 686 cubic centimeters. If the cone is 14cm high, what is its diameter?
Answer:
3.9mm
Step-by-step explanation:
If p(x)= 2^x, what is the value of p(3) - p(2)?
Answer:
4
Step-by-step explanation:
p(3) = 2³ = 8
p(2) = 2² = 4
8-4 = 4
Consider this right triangle.
Enter the ratio equivalent to sin (B)
Answer:
[tex]\boxed {\boxed {\sf sin(B)= \frac {21}{29}}}[/tex]
Step-by-step explanation:
Sine is the ratio of the opposite side to the hypotenuse.
[tex]sin \theta= \frac {opposite}{hypotenuse}[/tex]
We want to find the sine of angle B. The side AC, which measures 21, is opposite angle B.
The side AB, which measures 29, is the hypotenuse because it is the longest side and opposite the right angle.
[tex]opposite= 21\\hypotenuse=29[/tex]
Substitute the values into the formula.
[tex]sinB= \frac {21}{29}[/tex]
This ratio cannot be reduced further, so it is the final answer.
The sine of B is 21/29
Who can describe and correct the error in finding volume of the cone
Can someone please give me this answer and hurry
Answer:
113.04cm
............
у
80
The graph of quadratic function
is shown on the grid.
What is a solution to r(x) = 0?
60
40
A -50
20
B 4
х
-4
4
8
12
- 16 -12 -8
16
C 14
-20
D-60
vo
-60
-80
Answer:
C 14
Step-by-step explanation:
QUESTION 45
What is the value of x?
3x
Answer:
1/67
Step-by-step explanation:
Complete question
If X+2/3x is equal to 45. find the value of x
Given the equation
x+2/3x = 45
Cross multiply
x+2 = 3x(45)
x+2 = 135x
x - 135x = -2
-134x = -2
x = 2/134
x = 1/67
Hence the value of x is 1/67
pls help i'll give u a brainlyy
Answer: -633
Explanation:
formula is a0= a1 + (n-1)d
a0 is what ur tryig to find
a1 = -14
n= 60
d = -11
Answer:
-674Step-by-step explanation:
As,
There is always a gap of -11 in all the proceedings
Hence,
- 14 -11 = -25
-14 -(11 ×2) = -36
So,
60th term
-14 -(11 × 60) = -674 (Ans)
On a coordinate plane, what is the distance between the point at (8, 7) and the point at (-9, 7)?
Answer:
They are 17 units away from each other!
Step-by-step explanation:
Because they have the same y coordinate, this make us not have to do the formula. To find how far they are away, add the absolute value of each x coordinate. The answer is 17 units.
give me brainliest
PLZZZ HELP MEE BIG BRAIN PLP PLZZ
Represent each linear situation with an equation in slope-intercept form.
A family bucket meal at Chicken Deluxe costs twenty-six dollars plus $1.50 for every extra piece of chicken added to the bucket.
Answer:
y = 1.5x + 26Step-by-step explanation:
Total cost is $26 add x-pieces each $1.50:
y = 1.5x + 26multiple 2y(6y2+4y-3)
Answer:
Step-by-step explanation:
Y- intercepts (-3 = 2 3, 0) , (-3 - 2 3, 0)
() = 0.50, () = 0.70, ( ∪ ) = 0.85 Are the events, and , independent in this situation? You must provide reasoning for your answer.
Answer:
Independent events
Step-by-step explanation:
Given
[tex]P(A) = 0.50[/tex]
[tex]P(B)= 0.70[/tex]
[tex]P(A\ u\ B) = 0.85[/tex]
Required
Determine the relationship between the events
To do this, we simply calculate P(A n B) using:
[tex]P(A\ n\ B) = P(A) * P(B)[/tex]
and
[tex]P(A\ n\ B) = P(A) + P(B) - P(A\ u\ B)[/tex]
So, we have:
[tex]P(A\ n\ B) = P(A) * P(B)[/tex]
[tex]P(A\ n\ B) = 0.50 * 0.70[/tex]
[tex]P(A\ n\ B) = 0.35[/tex]
and
[tex]P(A\ n\ B) = P(A) + P(B) - P(A\ u\ B)[/tex]
[tex]P(A\ n\ B) = 0.50 + 0.70 - 0.85[/tex]
[tex]P(A\ n\ B) = 0.35[/tex]
Since: [tex]P(A\ n\ B) = P(A) * P(B)[/tex] [tex]= 0.35[/tex]
Then: the events are independent
Identify the like terms in the expression 4x+5-x^3-3x
PLEASE HELP ME :(
The questions and answer choices are in the picture.
It would also reallyyyyy help me if you explain how you solved it. At least just show the steps.
Thank you!
Hi army! I found the answer!
Answer:
F. An 18-month loan with an annual simple interest rate of 4.75%
Step-by-step explanation:
I just used a credit card payoff calculator to solve this problem. You can use that calculator to solve other problems like this too!
Also, stream BTS Film Out for clear skin and good grades ;)
Have a great day!
I need this done today please help!
Answer:
1.
2. 4:7
3.
4.10:4
5.
id k the rest sorry :/
Is j+j+j+j and j with the power of four equivalent?
Answer:
No, they are not equivalent.
Step-by-step explanation:
j + j + j + j = 4j
j^4
Let's say j = 2
4j = 8
j^4 = 16
Answer:
NO
Step-by-step explanation:
j+j+j+j
remember multiplication is repeated addition!
j+j+j+j = 4j
THIS IS DIFFERENT! powers are repeated MULTIPLICATION.
j^4 = j to the power of 4 = j * j * j * j, NOT j+j+j+j !!!!!
can someone please help me with this problem?
Answer:
14
Step-by-step explanation:
First you figure out what the value of x is, and then you must add the numbers in the Participates in Sports column to get 14
The density of mercury is 13.5 times greater than the density of water. If you were to build a barometer that used water instead of mercury to record the standard pressure at sea level, what would be the height of that barometer? Assume that the mercury barometer is 76 centimeters, or 29.92 inches, long (this is the standard atmospheric pressure at sea level). View Available Hint(s) The density of mercury is 13.5 times greater than the density of water. If you were to build a barometer that used water instead of mercury to record the standard pressure at sea level, what would be the height of that barometer? Assume that the mercury barometer is 76 centimeters, or 29.92 inches, long (this is the standard atmospheric pressure at sea level). 110.29 centimeters (43.42 inches) 5.63 centimeters (2.21 inches) 89.5 centimeters (35.24 inches) 1026 centimeters (403.92 inches)
Answer:
h = 403.92in or 1026cm
Step-by-step explanation:
Given
Let x represent the density of mercury, and y the density of water.
[tex]y = 13.5x[/tex]
[tex]Mercury\ barometer =76cm[/tex] or [tex]Mercury\ barometer =29.92in[/tex]
Required
Determine the height of the barometer
At standard atmospheric pressure, the relationship between the mercury barometer and the height (h) of the barometer is:
[tex]h = 13.5 * Mercury\ barometer[/tex]
In centimeters, we have:
[tex]h = 13.5 * 76cm[/tex]
[tex]h = 1026cm[/tex]
In inches, we have:
[tex]h = 13.5 * 29.92in[/tex]
[tex]h = 403.92in[/tex]
What is the value of x