We know:-
[tex] \bigstar \boxed{ \rm Volume \: of \: Cone = \frac{1}{3} \pi {r}^{2} h}[/tex]
[tex] \\ \\ [/tex]
So:-
[tex] \leadsto\sf Volume \: of \: Cone = \dfrac{1}{3} \pi {r}^{2} h[/tex]
[tex] \\ \\ [/tex]
[tex] \leadsto\sf Volume \: of \: Cone = \dfrac{1}{3} \times \pi \times {3}^{2} \times 7 \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \leadsto\sf Volume \: of \: Cone = \dfrac{1}{3} \times \pi \times 3 \times 3 \times 7 \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \leadsto\sf Volume \: of \: Cone = \dfrac{1}{\cancel3} \times \pi \times \cancel3 \times 3 \times 7 \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \leadsto\sf Volume \: of \: Cone =\pi \times 3 \times 7 \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \leadsto\sf Volume \: of \: Cone =\pi \times 21\\ [/tex]
[tex] \\ \\ [/tex]
[tex] \leadsto\bf Volume \: of \: Cone = 21\pi[/tex]
[tex] \\ \\ [/tex]
Therefore option C is correct.
The Volume of the cone is 21π cubic units
The volume of a coneThe formula for calculating the volume of a cone is expressed as:
V = 1/3πr²h
where:
r is the radius = 3 units
h is the height = 7units
The volume of the cone = 1/3π(3)²*7
Volume of the cone = 3π * 7
Volume of the cone = 21π cubic units
Hence the Volume of the cone is 21π cubic units
Learn more on volume of a cone here: https://brainly.com/question/1082469
Find the product. Simplify your answer.
(q–4)(3q–1)
Multiplying Binomials
Answer:
3q^2-13q+4
Step-by-step explanation:
Answer:
3q^2-13q+4
Step-by-step explanation:
q (3q-1)-4 (3q-1)
3q^2-q-12q+4
3q^2-13q+4
7. Which of the following is the algebraic
representation for a translation 7 units left and
6 units up?
A. (x + 7, y - 6)
B. (x - 7, y + 6)
C. (x + 6, 7 - 7)
D. (x – 6, Y + 7)
Answer: The answer is B !
Step-by-step explanation:
The x axis is left so negative units will go left!
The y axis is up and down so positive units go up!
I’ve did the question my self and it worked and told me why the answer was correct!
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Line AC and line DB intersect at point P. Solve for angle BPQ.
To earn full credit for presenting and defending your mathematical solution, you must share the equation, show the steps to solving for the variable x, show the steps to solving for angle BPQ.
Answer:
Angle BPQ = 64°
Step-by-step explanation:
4x + 12 +2x = 90
6x + 12 = 90
- 12 -12
6x = 78
x = 13°
BPQ = ((4(13) + 12)°
(52 + 12)°
64°
Please just state if they are agasent, supplementary, or neither!!! I need nothing else!!!
Step-by-step explanation:
1) supplementary
2) complementary
3) neither
4) neither
5) supplementary
6) complementary
7) supplementary
8) neither
9) complementary
please answer with explanation
Answer:
Step-by-step explanation:
area formula
Using diagonals: A = (d1 × d2) : 2
we use the inverse formula
A * 2 : d1
225 * 2 : 15 =
30cm
--------------------
check
15 * 30 : 2 = 225
the answer is good
Triangles ABC and YZX are similar. Use the measurements given in the image below to find the side length of ZX. In your answer, give the side length of ZX and explain how you calculated it. X А 25 Y 40 50 20 Z UD 60 C (100 points if it's correct)
Answer:
ZX = 30 unitsStep-by-step explanation:
Since the triangles are similar, the ratio of corresponding sides are same.
ZX is the largest side and corresponding side is BC = 60, the shortest sides are BC = 40 and YZ = 20:
ZX / 60 = 20/40ZX / 60 = 1/2ZX = 60/2ZX = 30A high school championship football game was attended by 1,580 fans. There were 640 were out-of-state fans at the game. The other fans who attended were local.
Which statement is TRUE when interpreting the ratio of out-of-state fans attending the game to the total number of fans attending? A) 32 out of every 79 fans attending were out-of-state fans B) 47 out of every 79 fans attending were out-of-state fans C) more than 47 out of every 79 fans attending were out-of-state fans D) at least 32 out of every 79 fans attending were out-of-state fans
Answer:
A)
Step-by-step explanation:
total number of fans = 1580out of state fans = 640local fans = total number of fans - out of state fans = 1580 - 640 = 940ratio of out of state fans to total number of fans:
640 : 1580 = 640/1580 = 32/79
So 32 out of every 79 fans were out of state fans
Answer:
A) 32 out of every 79 fans attending were out-of-state fans
Step-by-step explanation:
640 were out-of-state fans : 1,580 fans in the game
32 were out-of-state fans : 79 fans in the game
✔A) 32 out of every 79 fans attending were out-of-state fans
B) 47 out of every 79 fans attending were out-of-state fans
C) more than 47 out of every 79 fans attending were out-of-state fans
D) at least 32 out of every 79 fans attending were out-of-state fans
Find the difference quotient of f
answer:
[tex]3\\[/tex]
explanation:
[tex]\frac{f(x+h)+f(x)}{h}[/tex]
[tex]\hookedrightarrow given.that .f(x) = 3x +h[/tex]
solve:
[tex]\frac{3\left(x+h\right)+5-\left(3x+5\right)}{h}[/tex]
[tex]\frac{3x+3h+5-3x-5}{h}[/tex]
[tex]\frac{3h}{h}[/tex]
[tex]3\\[/tex]
You pick a card at random. Without putting the first card back, you pick a second card at random.
4
5
6
7
What is the probability of picking a 6 and then picking a 7?
A pail of water that holds 4 gallons (gal) needs to be filled with water from a swimming pool. How many times you will get a water from the pool using the a dipper that can hold 1 pint (pt) of water? (Use the conversion of 1 gal = 8 pt
Answer:
32 pints
Step-by-step explanation:
4 gallons * 8 pints/1 gallon = 32 pints
please answer this as well
Answer:
85 km
Step-by-step explanation:
to find this answer you must use the pythagorean theorem
this formula is basically a^2 + b^2 = c^2
so square the two sides that you have and thats the answer of the hypotenuse squared
68^2 + 51^2 = c^2
4624 + 2601 = 7225
then you must take 7225 to the square root
that is 85
Problem 1: Consider the (nonlinear) differential equation
[tex]y' = \frac{ - y(y + 1)}{x} [/tex]
Without solving the equation, check which of the following are solutions:
[tex]y(x) = {x}^{2} - 1[/tex]
[tex]y(x) = \frac{2}{x - 2} [/tex]
That is: do not use the method of integrating factors to solve. Just check by plugging in.
If y = x² - 1, then y + 1 = x² and y' = 2x. Then in the DE, we would have
2x = - (x² - 1) x² / x ⇒ 2 = - x² + 1
but this only true for some values of x. So the first choice is not correct.
If y = 2/(x - 2), then y + 1 = x/(x - 2) and y' = -2/(x - 2)². In the DE,
-2/(x - 2)² = - (2/(x - 2)) (x/(x - 2)) / x ⇒ -2/(x - 2)² = -2/(x - 2)²
so the second choice is the correct answer.
A football player runs 80 yards in 25 seconds. If he maintains the same rate of speed, how far could he run in 60 seconds?
Answer:
192 would be your answer.
Which of the following number line graphs shows the solution set of 3|x| + 1 > 7?
Answer:
D
Step-by-step explanation:
When doing this problem remember that absolute value is a number's distance from zero, and distance is always positive. So, absolute value makes any number positive. This means that |±x| = x. To find the correct number graph, first solve the inequality.
3|x| + 1 > 7Subtract 1 from both sides
3|x| > 6Divide both sides by 3
|x| > 2Then, we need to use absolute value. Any number with a distance from 0 greater than 2 fulfills this inequality. So, the number graph should represent -2 > x and x > 2. Additionally, because the inequality is looking for greater than but not equal to, the circles should be open.
6. - - What is the sum of the measures of the interior angles of a convex polygon with n sides? A (n-2)90 C. (n-2)180 B. (n-2)120 D. (n-2)360 It is the sum of the measures of the interior angles of a heptagon. A 720° C. 1,080° B. 900° D. 1,260° 7
Answer:
a 720
Step-by-step explanation:
because u use pemdas
What is the common ratio for the geometric sequence?
24,−6,32,−38,...
Enter your answer in the box.
rotation transformation of rotates the shape 125 clockwise.?
Answer:
90 degree rotation counterclockwise.
I think its right, BE SAFE! Hope it helps :3
I am a solid.
I have 6 vertices.
I have 5 faces.
3 of my faces are rectangles, the other 2 are triangles.
What am I?
Answer:
a triangular prism
Step-by-step explanation:
The 6 vertices are the vertices of the two triangular faces. The 3 rectangles join those to make a triangular prism.
$10,574.40 rounded 2 decimal places
Answer:
$10,574.40
Step-by-step explanation:
$10,574.40 is already rounded to two decimal places. Rounding to two decimal places means rounding to the hundredths place.
how to solve for x in an equation like 12sin(30)=x
or am i doing that wrong too
Answer:
what type of triangle is this ?
Step-by-step explanation:
What function is x=2 mapped to 32?
When going to a field trip, how can you apply your understanding on percent?
Answer:
if you go to a gift shop,percents off prices of items? if you buy lunch there, and your school gives you how much of percent of your payment will go towards lunch? if your school gives you percent of what will go to each such as 5 percent will go to the bus 50 percent will go to your ticket?
A. 10 miles
B. 14 miles
C. 24 miles
D. 28 miles
Please help, find the area of only the shaded area.
Answer:
Area shaded ≈ 30.92
Area shaded in terms of π = 144 - 36π
Step-by-step explanation:
Square:
The length of this square is 4 * 3m, which is 12mThe area of the square : 12² = 144Circle:
The area of one circle is 3²π = 9πThe area of 4 circles is 9π * 4 ≈113.08Subtract:
144 - 113.0830.92-Chetan K
Mattie Evans drove 200 miles in the same amount of time that it took a turbopropeller plane to travel 950 miles. The speed of the plane was 150 mph faster than th
speed of the car. Find the speed of the plane.
The speed of the plane was mph.
(Simplify your answer.)
Answer:
speed of the plane = 190 mph
Step-by-step explanation:
Let x = speed of the plane, then speed of the car = x - 150
time = 200/(x - 150) = 950/x
Divide by 50 on both sides, get
4/(x - 150) = 19/x
Cross multiply:
4x = 19(x - 150)
4x = 19x - 19*150
15x = 19*150
x = 19*150/15 = 190
Evaluate the given expression when x = 16 and y = 11.
x² - 3y + x
The answer is
Answer:
(16)2-3(11)+16
32-33+16
-1+16
=15
How do you solve this? I know the formula is y=mx+b
Answer:
put it in the formula
Step-by-step explanation:
Anuja looked up how many goals her favorite soccer team has scored in each match over the past few
seasons.
The table below is a probability distribution Anuja created where X represents the number of goals the
team scored in a given match.
х
0
1
2
3
4
P(X) 0.191
0.319 0.287
0.128
0.074
Which graph correctly displays this probability distribution?
Probability distributions can be represented using tables and graphs
How to determine the graphThe probability table is given as:
x 0 1 2 3 4
P(x) -> 0.191 0.319 0.287 0.128 0.074
The above table means that:
P(0) = 0.191
P(1) = 0.319
P(2) = 0.287
P(3) = 0.128
P(4) = 0.074
Next, we check if the table represents a probability distribution using:
[tex]\sum P(x) = 1[/tex]
So, we have:
[tex]\sum P(x) = 0.191 + 0.319 + 0.287 + 0.128 + 0.074[/tex]
[tex]\sum P(x) = 1[/tex]
The graph is not given. So, I will plot the graph
See attachment for the figure that represents the probability distribution
Read more about probability distribution at:
https://brainly.com/question/15246027
what is the volume of the figure below
18x12x13x5 divided by 1/2
Answer: is 28080
Step-by-step explanation:
which statement correctly explains the association of the scatterplot
Answer:
B. Since the y - values decrease as the x - values increase the scatter plots show a negative association.
Step-by-step explanation:
A positive association would be the y - values and the x - values both increases.
I hope this helps!