Answer: A. 169.65 mi^3
Step-by-step explanation:
The volume of a cylinder is formula is v= π *r^2 *h where r is radius and h is the height being multiplied pie.
V= 3.14 * 3^2 * 6
v= 3.14 * 9 * 6
v =169.6460 to the nearest hundredth is 169.65
what is r if -4(r+3) = -42
Steps to solve:
-4(r + 3) = -42
~Distribute
(-4 * r) + (-4 * 3) = -42
~Simplify
-4r - 12 = -42
~Add 12 to both sides
-4r - 12 + 12 = -42 + 12
~Simplify
-4r = -30
~Divide -4 to both sides
-4r/-4 = -30/-4
~Simplify
r = 7.5
Best of Luck!
Answer:
7.5
Step-by-step explanation:
(-4) (7.5 + 3)= -42
Solve for x: x-19=2x+12 (Pls I really need this)
Answer:
x = -31
Step-by-step explanation:
x-19=2x+12
Subtract x from each side
x-x-19=2x-x+12
-19 = x+12
Subtract 12 from each side
-19-12=x+12-12
-31 =x
PLEASEEE HELPPPP MEE WITH LINE PLOTSSS I DONT UNDERSTAND THISSSS
LETTERS A B AND C QUESTIONS PLEASEE HELPP MEE
Answer:
3. Look at the least amount of time practicing. That is 1/4 hours. Then look at the most time practicing, an hour and a half. Subtract 1 1/2 by 1/4.
4. Look at the dots in the plot. The one in the middle is the highest because it appears the most. The most common time is 3/4 of an hour.
5. To see the total time, add all of the numbers up, including the repeated ones.
The square of the hypotenuse of a right triangle is 625. Which could be the side lengths explain
A. 4 and 27
B. 49 and 576
C 100 and 525
D. 7 and 24
Answer:
I think it's D, sorry if i'm wrong but let me know if I'm right!
Step-by-step explanation:
What is the range of the following data set?
13, 17, 18, 15, 12, 21, 10
Answer:
6
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
Put the numbers in order from smallest to largest
10, 12,13, 15, 17, 18, 21,
The range is the largest number minus the smallest number
21-10
11
The face that is shared with the rectangular prism is __.
The area of each base of the rectangular prism is __ square units.
The lateral area (excluding the shared face) for the rectangular prism is __ square units.
The total surface area of the composite figure will be __ square units.
The total surface area of the composite figure will be 134 square units.
How to calculate the surface area of a composite figure?Surface area are derived for some standard shapes like circle, triangle, parallelogram, rectangle, trapezoid, etc.
When some shape comes which isn't standard figure, then we find its area by slicing it (virtually, like by drawing lines) in standard shapes. Then we calculate those composing shapes' area and sum them all.
Thus, we have:
[tex]\text{Area of composite figure} = \sum (\text{Area of composing figures})[/tex]
That ∑ sign shows "sum"
We are given that;
The dimensions of figure
Now,
The area of the shared face is already calculated as 20 square units. So, to find the total surface area, we subtract this from the sum of the surface areas:
TSA=(60+94)−20
TSA=154−20
TSA=134
Therefore, the area of the figure will be 134 square units.
Learn more about area of a composite figure here:
https://brainly.com/question/10254615
#SPJ3
Answer: The face that is shared with the rectangular prism is
✔ 2(5)
.
The area of each base of the rectangular prism is
✔ 10
square units.
The lateral area (excluding the shared face) for the rectangular prism is
✔ 18
square units.
The total surface area of the composite figure will be
✔ 66
square units.
Step-by-step explanation:
Enter the next three terms in the geometric sequence. Round to the nearest tenth value.
36, 54, 81, 121.5, ...
Answer:
The next three terms of the sequence are 182.3, 273.5 and 410.3 respectively (all rounded to the nearest tenth value)
Step-by-step explanation:
A geometric sequence is one in which successive members are multiples of a constant common ratio.
From the sequence, we can identify that;
First term a = 36
common difference = 2nd term/first term = 3rd term/second term = 4th term/3rd term
Hence, common difference d = 54/36 = 81/54 = 1.5
The next three terms of the sequence are the 5th, 6th and 7th term respectively.
For the 5th term, we have 4th term × common ratio = 121.5 × 1.5 = 182.3
For the 6th term, we have 5th term × common ratio = 182.3 × 1.5 = 273.5
For the 7th term, we have 6th term × common ratio = 273.5 × 1.5 = 410.3
jeff rode his bike around the bike trail that was 1/2 of a mile long. he rode around the trail 9 times. how many miles did jeff ride?
Answer:
Jeff rode 4 1/2 miles
Step-by-step explanation:
a simple way to do this is divide 9 by 2 to get 4 1/2
Answer:
Step-by-step explanation:
If it is hard to multiply fractions, you can always convert it into decimal form.
1/2 is equivalent to 0.5
Since he went around the trail 9 times, you have to multiply 0.5 times 9 which equals 4.5.
That means Jeff rode 4 1/2 miles
Hope this helps!
What is the perimeter of the triangle
Answer:
I think its 46...
Step-by-step explanation:
Answer:
the answer is 40
Step-by-step explanation:
15+8+17=40
What is the value of (5.3x10 to the power of 4)(4.2x10 to the power of 3) in scientific notation
Answer:
[tex] 2.226 \times {10}^{8} [/tex]
Step-by-step explanation:
[tex](5.3 \times {10}^{4} )(4.2 \times {10}^{3} ) \\ = 5.3 \times 4.2 \times {10}^{4 + 3} \\ = 22.26 \times {10}^{7} \\ = 2.226 \times {10}^{8} [/tex]
Answer:C
Step-by-step explanation:
Darryl's working on another staircase. the volume of the staircase is 34 cubic feet. he poured 3 cubic feet of concrete into the lowest stair and 6 cubic feet into the middle stair. how much concrete does darryl need for the highest stair?
Answer:
25 cubic feet of concrete
Step-by-step explanation:
Given the information:
the volume of the staircase is 34 cubic3 cubic feet of concrete into the lowest stair6 cubic feet into the middle stair=>The volume of concrete darryl need for the highest stair is:
The volume of the staircase - the volume of the lowest stair - the volume of middle stair
= 34 - 3 - 6
= 25 cubic feet of concrete
Hope it will find you well.
Answer:
25Step-by-step explanation:
You already have 3 and 6 so we going to add that first ( 3+6)=9 So we have 9 and we are going to count on up until you hit 34 which will be 25 so your answer is 25What does y=x+2, y=2, x=4 mean
Step-by-step explanation:
Putting values of x and y
2 = 4 + 2
2 = 6
= 6-2
= 4
Please help what is the answer?
Answer:
The value of x is 42°.
Step-by-step explanation:
Given AB and BC are perpendicular lines which means that AB is 90° to BC. So in order to find the value of x, you have to substract 24° and 24° from 90° :
[tex]24° + x + 24° = 90°[/tex]
[tex]x = 90° - 24° - 24°[/tex]
[tex]x = 42°[/tex]
Find the solution to the system of equations: x + 3y = 7
and 2x + 4y = 8
Answer:
Point Form:
( − 2 , 3 )
Equation Form:
x = − 2 , y = 3
Step-by-step explanation:
Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.
Answer:
x = -2, y = 3
Step-by-step explanation:
x + 3y = 7
2x + 4y = 8
Make the x term the same for both equations by multiplying the first equation by 2.
Now you have two equations with the same x terms.
2x + 6y = 14
2x + 4y = 8
Take the larger equation from the smaller to remove the x terms from the equations.
2x + 6y = 14
-
2x + 4y = 8
2y = 6
y = 3
Put the known y term back into the equations to find the y term
3(3) + x = 7
9 + x = 7, x = -2
12 + 2x = 8
2x = -4, x = -2
Which function describes the arithmetic sequence shown?
3, 7, 11, 15,19 , 23....
Step-by-step explanation:
This sequence is by adding 4 you get the next number
Addition is the function
Simplify: 4x + 6(3x - 2)
Answer:
2 • (2x - 3) • (3x - 2)
Step-by-step explanation:
Answer:
4x + 6(3x -2)
First distribute
4x + 18x - 12
Combine like terms
22x - 12
Step-by-step explanation:
what is the area of square HIJK
Answer:
The area is 36
Step-by-step explanation:
hope it helps :3
multiple the length x width
6x6=36
A) 172
b) 192
C) 212
D) 232
Answer:
212
Step-by-step explanation:
volume of new figure = sum of the two individual figures
volume of one cuboid=l*b*h
volume of first cuboid=92
volume of second cuboid=120
sum of two figures=212
hope this helps
plzz mark me brainliest
Answer:
212 is the answer
Step-by-step explanation:
First to find the area of the first figure, you must use the formula for volume: length times width times height.
so: 23(2)(2) is equal to 92.
then for the second figure: 8(5)(3) is equal to 120.
now you add the two answers.
92+120=212
why 51.2 divided 6.4 has the same value as 5.12 divided 0.64?
Answer:
The reason why both have the same value is because you are only moving the decimal place. The difference between 51.2 and 5.12 is that you divided 10 from 51.2 to get 5.12. Same goes for 6.4 and 0.64.
51.2 / 6.4 = 8
5.12 / 0.64 = 8
Final answer:
The quotient of 51.2 divided by 6.4 is the same as 5.12 divided by 0.64 because both numerators and denominators are related by a factor of 10. This maintains the value of the quotient unchanged when both are multiplied or divided by the same power of 10.
Explanation:
When dividing two numbers, you can often simplify the expression by dividing both numbers by a common factor. In this case, both 51.2 and 6.4 have a common factor of 0.64. Dividing both numbers by 0.64, we get:
51.2 ÷ 0.64 = 80
6.4 ÷ 0.64 = 10
So, as you can see, the result is the same: 80 divided by 10 is equal to 8. This is why dividing 51.2 by 6.4 has the same value as dividing 5.12 by 0.64.
Please help heads up it’s not 480 I’ve tried that
Answer:
612
Step-by-step explanation:
The lateral surface area does not include the bases.
The bases are the triangles
We will add up the areas of the three rectangles
We have the two rectangles on the sides which are 17 by 13 and the rectangle on the bottom which is 17 by 10
17* 13 + 17*13 + 17*10 =612
The scale for the drawing of a rectangular playing field is 2 inches equals 7 feet. Find an equation you can use to find the dimensions of the actual field. What are the actual dimensions? length width 12 in. 6 in. Find an equation you can use to find the dimensions of the actual field. Use the equation yequals nothingx, where x is a dimension of the scale drawing (in inches) and y is the corresponding dimension of the actual field (in feet).
Answer:
Actual dimension of the field = 42 ft × 21 ft
Equation : [tex]y=\frac{7}{2}x[/tex]
Step-by-step explanation:
Scale for the drawing of a rectangular playing field is,
2 inches = 7 feet
Or 1 inch = 3.5 feet
If length of the playing field on drawing = 12 in
Then actual length of the field = 12×3.5 = 42 feet
And width on the drawing = 6 inches
Therefore, actual width of the field = 6×3.5 = 21 feet
If 'x' is the dimension of a scale drawing and 'y' be the corresponding dimension of the actual field,
[tex]\frac{x}{y}=\frac{2}{7}[/tex]
[tex]y=\frac{7}{2}x[/tex]
Simplify the expression 3(x + 4)
What is the equation of f(x)?
F(x)=8(4)
f(x)=–8(4)
F(x)=8 )
F(x)=-8 | 23
Answer:
Im not sure but I thinks its the first one
f(x)=8(4)
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Three water storage containers have the same volume in the shape of a cylinder, a cone, and a sphere. The base radius of the cylinder, the base radius of the cone, and the radius of the sphere are equal.
The ratio of the height of the cone to the height of the cylinder is
Select one
3 to 1
2 to 1
1 to 1
3 to 1
2 to 1
1 to 1
The ratio of the height of the cone to radius of the sphere is
the base radius of the cone, and the radius of the sphere are equal.
the base radius of the cone, and the radius of the sphere are equal.
1 to 1
4 to 1
9 to 1
1 to 1
4 to 1
9 to 1
Answer:
The ratio of the height of the cone to the height of the cylinder is 3 to 1
The ratio of the height of the cone to the radius of the sphere is 4 to 1
Step-by-step explanation:
First we need to know the volume of a cylinder, a cone and a sphere:
V_cylinder = pi*r^2*h
V_cone = (1/3)*pi*r^2*h
V_sphere = (4/3)*pi*r^3
If they have the same volume:
The ratio of the height of the cone to the height of the cylinder is:
V_cone / V_cylinder = 1
(1/3)*pi*r^2*h1 / pi*r^2*h2 = 1
(1/3) * h1 = h2
h1 / h2 = 3
So the ratio is 3 to 1
The ratio of the height of the cone to the radius of the sphere is:
V_cone / V_sphere = 1
(1/3)*pi*r^2*h / (4/3)*pi*r^3 = 1
h / 4r = 1
h / r = 4
So the ratio is 4 to 1
Enter the decimal 1.54 as an improper fraction in simplest form.
Answer: 77/50
Step-by-step explanation:
Decimal: 1.54
Fraction: 77/50
Percentage: 154%
What is the solution to 3x²+x+10=0
Answer:
x = - 1/6 + √-119/6, and, - 1/6 - √-119/6
Step-by-step explanation:
Using the quadratic formula which is: - b ± √b² - 4ac / 2a
a = 3, b = 1, c = 10
- 1 ± √1² -4 * 3 * 10 / 2 * 3
- 1 ± √1 - 120 / 6
-1 ± √-119 / 6
= -1/6 + √119/6, or - 1/6 - √-119/6
what is the highest common factor of 12 and 16?
Answer:
4
Step-by-step explanation:
1) to find hcf, first look at what both 12 and 16 are divisible by
12 and 16 are divisible by 2
so
12/2=6
16/2=8
now we have 6,8
6 and 8 are divisible by 2 as well
6/2=3
8/2=4
3,4 is what we are left with
since we had to divide these numbers by 2 both times, multiply them.
2*2=4
4 is the hcf
Harry and Larry are having a barbecue dinner. The probability of Harry staining his shirt during the dinner is
1
5
5
1
start fraction, 1, divided by, 5, end fraction. The probability of Larry staining his shirt during the dinner is
1
5
%
15%15, percent.
Which of these events is more likely?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Harry stains his shirt during the dinner.
(Choice B)
B
Larry stains his shirt during the dinner.
(Choice C)
C
Neither. Both events are equally likely.
Answer:
A
Step-by-step explanation:
Answer:
Harry stains his shirt during the dinner.
Step-by-step explanation:
P (Harry stains his shirt during the dinner) [tex]=[/tex] [tex]\frac{1}{5}[/tex] [tex]= 0.2[/tex]
P (Larry stains his shirt during the dinner) [tex]= 15%[/tex]% [tex]= 0.15[/tex]
[tex]0.2 > 0.15[/tex]
It is more likely that Harry stains his shirt during the dinner.
The equation y - 7/2 = 1/2(x-4) is written in point-slope form. What is the y-intercept of the equation?
Ο -11/2
Ο -1/2
Ο 1/2
Ο 3/2
Answer:
[tex] y - \frac{7}{2}= \frac{1}{2} (x-4)[/tex]
[tex] y-\frac{7}{2}= \frac{1}{2}x - 2[/tex]
[tex] y = \frac{1}{2}x -2 + \frac{7}{2}[/tex]
[tex] y = \frac{1}{2}x + \frac{3}{2}[/tex]
[tex] y = mx +b[/tex]
Is given by:
Ο 3/2
Step-by-step explanation:
For this case we have the following function given:
[tex] y - \frac{7}{2}= \frac{1}{2} (x-4)[/tex]
If we distribute the 1/2 in the right we got:
[tex] y-\frac{7}{2}= \frac{1}{2}x - 2[/tex]
Now we can add on both sides 7/2 and we got:
[tex] y = \frac{1}{2}x -2 + \frac{7}{2}[/tex]
And simplifying we got:
[tex] y = \frac{1}{2}x + \frac{3}{2}[/tex]
And the answer for this case using the general formula:
[tex] y = mx +b[/tex]
Is given by:
Ο 3/2
Two students are playing a game with a quarter and a spinner that is
divided into equal sixths, with the sections numbered 1 to 6. Each player
tosses the coin and spins the spinner. How many outcomes are possible
for the toss and spin? *
Answer:12
Step-by-step explanation:
Given
A quarter and a spinner is played simultaneously so
A quarter can show two outcomes i.e. head and tail
While spinner can show 6 outcomes from 1 to 6
So there can be [tex]2\times 6=12[/tex] possible outcomes
(H,1),(H,2) ,(H,3) ,(H,4) ,(H,5) ,(H,6) ,(T,1) ,(T,2) ,(T,3) ,(T,4) ,(T,5) ,(T,6)