Answer:
V = 96 pi m^3
Step-by-step explanation:
V = (1/3) pi(r^2)h
Radius = 1/2(Diameter)
R = 1/2(12)
R = 6
Input.
V = (1/3) pi(6^2)8
Solve.
V = (1/3) pi(36)8
V = (1/3) 904.32
V = 301.44
V = 301.44/pi
V = 96 pi m^3
Answer:
The correct answer is option (C) 96π m³.
Step-by-step explanation:
As per given question we have provided that :
⟶ Diameter = 12 m⟶ Radius = 12/2 = 6 m⟶ Height = 8 mHere's the required formula to find the volume of cone :
[tex]{\longrightarrow{\pmb{\sf{V_{(Cone)} = \dfrac{1}{3}\pi{r}^{2}h}}}}[/tex]
➝ V = Volume➝ π = 22/7➝ r = radius➝ h = heightSubstituting all the given values in the formula to find the volume of cone :
[tex]{\implies{\sf{V_{(Cone)} = \dfrac{1}{3}\pi{r}^{2}h}}}[/tex]
[tex]{\implies{\sf{V_{(Cone)} = \dfrac{1}{3}\pi{(6)}^{2}8}}}[/tex]
[tex]{\implies{\sf{V_{(Cone)} = \dfrac{1}{3}\pi{(6 \times 6)}8}}}[/tex]
[tex]{\implies{\sf{V_{(Cone)} = \dfrac{1}{3}\pi \times {(36)} \times 8}}}[/tex]
[tex]{\implies{\sf{V_{(Cone)} = \dfrac{1}{3} \times \pi \times 36 \times 8}}}[/tex]
[tex]{\implies{\sf{V_{(Cone)} = \dfrac{1}{\cancel{3}} \times \pi \times \cancel{36} \times 8}}}[/tex]
[tex]{\implies{\sf{V_{(Cone)} = \pi \times 12 \times 8}}}[/tex]
[tex]{\implies{\sf{V_{(Cone)} = \pi \times 96}}}[/tex]
[tex]{\implies{\sf{V_{(Cone)} =96\pi}}}[/tex]
[tex]\star{\underline{\boxed{\sf{\red{V_{(Cone)} =96\pi \: {m}^{3}}}}}}[/tex]
Hence, the volume of cone is 96π m³.
[tex]\rule{300}{2.5}[/tex]
Solve the inequality 2m+10 < 40
Answer:
m < 15
Step-by-step explanation:
2m+10 < 40
Subtract 10 from each side
2m+10-10 < 40-10
2m < 30
Divide by 2
2m/2 = < 30/2
m < 15
what is 9×4−(2×1/2)
(1/2 Is a fraction btw)
Answer:
35
Step-by-step explanation:
I used Symbolab here's the screenshot
Use the given scale factor in the side length of the scale drawing to determine the side links of the real object
Answer:
A. side a is 7 inches long, side b is 6 inches long,and side c is 3 inches long
Step-by-step explanation:
Here is the complete question. Please find attached a diagram showing the scaled and real drawing
Use the given scale factor and the side lengths of the scale drawing to determine the side lengths of the real object
A. side a is 7 inches long, side b is 6 inches long,and side c is 3 inches long
B. side a is 30 inches long, side b is 25 inches long, and side c is 20 inches long
C. side a is 40 inches long, side b is 35 inches long,and side c is 20 inches long
D. side a is 175 inches long,side b is 150 inches long, and side c is inches long
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
The scaled drawing is an enlarged image of the original triangle.
It is enlarged at a ratio of 5:1
original dimensions
a = 35/5 = 7
b = 30 / 5 = 6
c = 15/5 = 3
What is the domain of the function
y=x?
Answer:
the domain of y = x is all real numbers.
John receives a $20000 salary for working as an agent. If John has to spend $11000 of his salary on expenses each year, then what percent of John's money does he have to spend?
Answer:
55%
Step-by-step explanation:
Percent spent = (amount spent / total income) x 100
( $11000 / $20000) x 100 = 55%
Jason poured 1 gallon 1 quart of water into an empty 2-gallon bucket. How much more water can be added to reach the bucket's 2-gallon capacity?
Answer: 3 quart
Step-by-step explanation:
Given
Jason poured 1 gallon 1 quart of water into an empty 2 gallon bucket
1 gallon can be written as 4 quart
So, 2 gallon can be written as 8 quart
Subtract 1 gallon 1 quart(5 quart) from 2 gallon(8 quart) to get the volume added
[tex]\Rightarrow 8-5\\\Rightarrow 3\ \text{quart}[/tex]
So, 3 quart of water must be added to reach 2 gallon capacity.
help me plzz nowwwwww plzz
Answer:
18
Step-by-step explanation:
colored: white
3 :8
We have 48 white papers so multiply each side by 6
colored: white
3*6 : 8*6
18 48
There are 18 colored papers
Answer:
C) 18
Step-by-step explanation:
3/8 = c/48
cross-multiply to get:
8c = 144
c = 18
Santiago buys a new television for $989.76. If
the sales tax rate is 8.75%, what is the total cost
of the television?
Answer:
$1076.36
Step-by-step explanation:
The full price before tax can be represented by 1.00($989.76), and the 8.75% tax by 0.0875($989.76)
which can be combined to obtain the total cost: (1.0875)($989.76) = $1076.36
11. A skateboard ramp has a slope of 1/2. What is the angle the ramp makes with
the ground to the nearest degree?
1. **Which of the foll byowing is equivalent to y4 x y^8?
A. y32
B. y4
C. 2y 12
d. y12
Answer:
SOLUTION[tex] {y}^{4} \times {y}^{8} = y8 + 4 = {y}^{12} [/tex]
Beacause of the property of exponent = [tex]a ^{b} \times {a}^{c} = a ^{b + c} [/tex]I need help is it A B C or D
Answer fast please
Hi can some one please help me :)!
Answer:
Step-by-step explanation:
rational integer and real
it is rational because it is a perfect root of 2
it is a integer because every positive and negative numbers are integers.
Feeling cool today, here’s a math riddle!
My twin lives at the reverse of my house number. The difference between our house numbers ends in two. What are the lowest possible numbers of our house?
Answer:
19 and 91
Step-by-step explanation:
The eight pair (81,18) and 63 is result. The ninth pair(91,19) and finally answer is "72". Here, we get the pair (91,19) in which we get 2 at unit place digit and 19 and 91 are the lowest possible numbers of hous
Find the midpoint and distance of the line segment AB connecting the two points: A(- 4, 5) and B(0, 8)
select all the expressions that are equal to
8(x-24)
Answer:
Your answer will be the 1st, 3rd and 4th/[tex]8(x-3), 9(x-3)-(x-3), and (5+3)x-24[/tex]
Step-by-step explanation:
No explanation since I've had this in the past, but I am 100% sure that it is A, C, and D. Therefore, your answer will be [tex]8(x-3), 9(x-3)-(x-3), and (5+3)x-24[/tex].
Erica had $20 she spent on three gifts she spent 9 3/4 dollars on gift a and 4 1/2 dollars and gift b how much money did she have left for gift c
Answer:
$5.75
Step-by-step explanation:
20=9.75 + 4.5 + c
20-9.75-4.5=c
5.75=c
IMPORTANT! SOMEONE PLEASE LOOK AT MY UNANSWERED QUESTIONS FROM THE PAST HOUR!!! I REALLY NEED HELP!!!
Answer:
Step-by-step explanation:
kk
HELP PLEASE I HAVE TO TURN THIS IN IN 20 minutes!!!!!!!!
Answer:
well time has to be on the X-axis because it is an independent variable
as a distance will be dependent variable Y-axis
NEED ASAP
The arithmetic mean of the monthly salaries of two people is $4444. One person earns $3191 per month. What is the monthly salary of the other person?
Step-by-step explanation:
Write what you know
mean is: Sum of all data points / Number of data points
any unknown number we'll call x
so youd write
(x + $3191) / 2 = $4444
Solve for x
let me know if you need further help
What is the simplified form of 4 X ? 3 + 7?
Answer:
4x(10)
Step-by-step explanation:
add 3+7=10
4x is multiplying 3+7=10
4x(10)
please anyone help asap
Answer:
Hi there! The correct answer should be: x is 60 degrees
Step-by-step explanation:
okay, so the equation is:
2x + 60 = 180
which we will solve:
2x + 60 - 60 = 180 - 60
2x = 120
x = 60
Which is the range of the relation y = 2x2 + 3x if the domain is the set {-2, -1, 0}?
A {10,1,0)
B.{-1,-5,0)
c. {2,-1,0)
D. (2. 1.0)
Given:
The function is:
[tex]y=2x^2+3x[/tex]
Domain is the set {-2, -1, 0).
To find:
The range of the given relation.
Solution:
We have,
[tex]y=2x^2+3x[/tex]
Substituting [tex]x=-2[/tex], we get
[tex]y=2(-2)^2+3(-2)[/tex]
[tex]y=2(4)+(-6)[/tex]
[tex]y=8-6[/tex]
[tex]y=2[/tex]
Substituting [tex]x=-1[/tex], we get
[tex]y=2(-1)^2+3(-1)[/tex]
[tex]y=2(1)+(-3)[/tex]
[tex]y=2-3[/tex]
[tex]y=-1[/tex]
Substituting [tex]x=0[/tex], we get
[tex]y=2(0)^2+3(0)[/tex]
[tex]y=0+0[/tex]
[tex]y=0[/tex]
The range for the given relation is {2, -1,0}. Therefore, the correct option is (c).
picture, will give brainliest if its correct!!
Answer: the answer is 100
Step-by-step explanation:
In circle S with \text{m} \angle RUT= 30m∠RUT=30, find the \text{m} \angle RSTm∠RST.
Answer:
m∠RST= m RT= 60°
⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒⭒
m RT=2 m∠ROT= 2 (30)=60°✎--------------
hope it helps...
have a great day!!
Mr kacanich was baking a chocolate cake. The recipe called for 3/4 cup of unsweetened cocoa powder, but after he started mixing ingredients, he relized he didn't have enough. If mr kacanich borrowed 1/4 cup from the neighbor, how much of his own cocoa powder did he have?
Answer:
2/4 cup
Step-by-step explanation:
Unsweetened cocoa powder needed = 3/4 cup
Unsweetened cocoa powder borrowed = 1/4 cup
how much of his own cocoa powder did he have?
Let
x = Unsweetened cocoa powder Mr kacanich has
Unsweetened cocoa powder needed = Unsweetened cocoa powder Mr kacanich has + Unsweetened cocoa powder borrowed
3/4 = x + 1/4
Subtract 1/4 from both sides
3/4 - 1/4 = x + 1/4 - 1/4
3/4 - 1/4 = x
x = (3-1)/4
x = 2/4 cup
On a blueprint, a rectangular room 15 ft by 14 ft has a semicircular sitting area attached with a diameter of 14 ft.
What is the total area of the room and the sitting area?
Use 3.14 for a
15 ft
14 ft
square feet
Pls help asap
The total area of the room and the sitting room is 286.93 feet squared
How to find area of a composite figure?The figure above is a composite figure as it has both rectangle and a semi circle.
The area of the figure(sitting room) is as follows:
total area = area of rectangle + area of semi circle
area of rectangle = lw
where
l = lengthw = widthTherefore,
l = 15 ft
w = 14 ft
area of rectangle = 15 × 14 = 210 ft²
Area of semi circle = πr² / 2
Area of semi circle = 3.14 × 7² / 2
Area of semi circle = 3.14 × 49 / 2
Area of semi circle = 153.86 / 2
Area of semi circle = 76.93 ft²
Area of the sitting room and room= 210 + 76.93 = 286.93 ft²
learn more on area here: https://brainly.com/question/8140198
5.6 cm
8.2 cm
Area =_______
Answer:
Hello! answer: 22.96
Step-by-step explanation:
Area is base × height × 1/2 or base × height ÷ 2
Im going to use the second method.
8.2 × 5.6 = 45.92 45.92 ÷ 2 = 22.96 therefore the answer is 22.96
Help please I don't understand.
===========================================================
Explanation:
If XY is tangent to the circle, then the radius ZX would be perpendicular to the tangent XY. In other words, the angle YXZ would be 90 degrees.
Furthermore, it means triangle WXY would be a right triangle.
Effectively, we need to find out if triangle WXY is a right triangle.
Recall that we can use the converse of the pythagorean theorem to find out if a triangle is a right triangle or not.
We have these side lengths of the triangle:
XY = 9.6WX = WZ+ZW = 6.4+6.4 = 12.8YW = 16Let's say a = 9.6, b = 12.8 and c = 16
The order of 'a' and b doesn't matter. All that matters is that c is the longest side.
Plug those values into the pythagorean theorem and simplify each side.
a^2+b^2 = c^2
(9.6)^2 + (12.8)^2 = (16)^2
92.16 + 163.84 = 256
256 = 256
We end up with a true equation, so the first equation is true for those a,b,c values. Hence, we have shown that the triangle is a right triangle, and this concludes that XY is indeed tangent to the circle.
The three point line on a basketball court forms a semi circle. For middle school, it has a diameter of 34 feet. What is the area of the semi circle?
Answer:[tex]454.019\ ft^2[/tex]
Step-by-step explanation:
Given
Diameter of semi-circle is [tex]d=34\ ft[/tex]
So, its radius is [tex]r=\dfrac{34}{2}=17\ ft[/tex]
Area of semi-circle is [tex]\dfrac{\pi r^2}{2}[/tex]
[tex]\therefore \text{Area of semi-circle is }=\dfrac{\pi r^2}{2}\\\\\Rightarrow A=\dfrac{\pi \cdot 17^2}{2}\\\\\Rightarrow A=454.019\ ft^2[/tex]
Thus, the area of semi-circle is [tex]454.019\ ft^2[/tex]
I NEED THIS QUICK no links !!!!! (math)
answer: the answer is c