A cylinder has a height of 6 cm and a circumference of 10 cm. What is the volume of the cylinder?
Answer:
≈ 471 cm^3
Step-by-step explanation:
V = πr^2h
V = 3.14·5^2·6
V = 3.14·25·6
V ≈ 471 cm^3
Write an equation for the line that is perpendicular to Y=-3/7x+4 and passes through (-4,-5)
9514 1404 393
Answer:
y = 7/3x +13/3
Step-by-step explanation:
The equation of the given line is in slope-intercept form (y=mx+b), so we can see the slope (m) is -3/7. The slope of the perpendicular line is the opposite reciprocal of this, so is ...
m = -1/(-3/7) = 7/3
The y-intercept of the perpendicular line can be found from ...
b = y -mx
b = -5 -(7/3)(-4) = -15/3 +28/3 = 13/3
Then the slope-intercept equation of the perpendicular line is ...
y = mx +b
y = 7/3x +13/3
_____
Additional comment
You can get there a little faster using the point-slope form of the equation of a line. For slope m and point (h, k) that form is ...
y -k = m(x -h)
For our perpendicular line, the equation is ...
y +5 = 7/3(x +4)
No need for explanation
Answer:
32
Step-by-step explanation:
I'll assume they're vertical angles
5x - 13 = 2x + 14
3x = 27
x = 9
<ABC:
5x - 13
5(9) - 13
32
Answer:
L.49
NO EXPLANATION
The speed of a space station in orbit is about 1300 meters per second.How many kilometers per hour does the space station travel? (20 points)
Answer:
92 minutes
Step-by-step explanation:
"Roughly" 17,150 miles per hour
(which is about 5 minutes per second)
this means that the space station orbits Earth once every 92 minutes.
hoped that helps you and God bless
Your school raised 125% of its fundraising goal.The School raised $4500.What was the goal?
Answer:
3600
Step-by-step explanation:
125%=4500
5*25%=4500
25%=900
125%-25%=100%
4500-900=3600
Somebody please help and explain it.
Explanation is in the file
tinyurl.com/wpazsebu
(section 6.1) Find the length of the small arc formed by the intersection of the unit circle a circle centered at the origin with a radius of 1: x2 + y2 = 1 and the line 2 y=1/2
Answer:
The length of the arc is approximately 2.0944
Step-by-step explanation:
The given parameters are;
The equation of the circle = x² + y² = 1
The radius of the circle, r = 1
The equation of the line, y = 1/2
Therefore, we point where the line intersects with the circle are given as the points 'y = 1/2' as follows;
When y = 1/2, the equation of the circle becomes;
x² + (1/2)² = 1
x² = 1 - (1/2)² = 3/4
x = ±√3/2
The angle subtended by the arc, θ = 2 × arctan((√3/2)/(1/2)) = 120°
The circumference of the circle, C = 2·π·r
∴ C = 2 × π × 1 = 2·π
The length of the arc, l = (θ/360) × C
∴ l = (120/360) × 2·π = (2/3)·π
The length of the arc, l = (2/3)·π ≈ 2.0944
The length of the arc is approximately 2.09
The intersection of the unit circle a circleFrom the question, we have the following parameters
The equation of the circle = x² + y² = 1
The radius of the circle, r = 1
The equation of the line, y = 1/2
The line intersects with the circle are given as the points 'y = 1/2' as follows;
When y = 1/2, the equation of the circle becomes;
x² + (1/2)² = 1
x² = 1 - (1/2)² = 3/4
x = ±√3/2
Determine the subtended angle
The angle subtended by the arc is expressed as:
θ = 2 × arctan((√3/2)/(1/2))
θ = 120°
The circumference of the circle, C = 2·π·r
C = 2 × π × 1 = 2·π
The length of the arc, l = (θ/360) × C
l = (120/360) × 2·π = (2/3)·π
The length of the arc, l = (2/3)·π ≈ 2.09
The length of the arc is approximately 2.09
Learn more on length of an arc here:https://brainly.com/question/2005046
Please help what does x=?
a
2.1 cm
2.9 cm
Find the value of a.
Step-by-step explanation:
[tex]a = \sqrt{ {2.9}^{2} - {2.1}^{2} } = \\ = \sqrt{8.41 -4.41 } = \\ \sqrt{4 } = 2[/tex]
The diameter of a sphere with a volume of 12,348 cubic ft is ___ ft.
Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
108.62ft
Step-by-step explanation:
12348=⁴/3×3.14×r²
r²=12348×¾÷3.14
r²=2,949.36
r=squareroot of 2,949.36
r=54.308
d=2r
d=54.308×2
d=108.616
What is the expression and value of "six less than nine times the sum of a number and eight" when n = 5? 9 (n + 8) minus 6; when n = 5, the value is 111. 6 minus 9 (n + 8); when n = 5, the value is 111. 9 (n) + 8 minus 6; when n = 5, the value is 47. 6 minus 9 (n) + 8; when n = 5, the value is 47.
Answer:
Answer:
The expression is 9(n + 8) - 6, the value is 111 ⇒ answer A plz mark me brainlest
Step-by-step explanation:
* Lets explain how to solve the problem
- We have a statement:
" six less than nine times the sum of a number and eight"
- When we solve we will start by the last part
- The last part is the sum of a number and 8
- Assume that the number is n
∵ The sum is the answer of adding
∴ The sum of a number and eight is ⇒ n + 8
- Nine times the sum
∵ The sum is n + 8
∵ Nine times means multiply the sum by 9
∴ Nine times the sum is ⇒ 9(n + 8)
- Six less than nine times the sum
∵ Nine times the sum is 9(n + 8)
∵ Six less than means subtract 6 from nine times the sum
∴ Six less than nine times the sum is ⇒ 9(n + 9) - 6
* The expression is 9(n + 8) - 6
- Lets evaluate the expression when n = 5
∵ 9(n + 8) - 6
∵ n = 5
∴ The value = 9(5 + 8) - 6
∴ The value = 9(13) - 6
∴ The value = 117 - 6
∴ The value = 111
* When n = 5 the value of the expression is 111
Step-by-step explanation:
Answer:
The expression is 9(n + 8) - 6, the value is 111 ⇒ answer A
Step-by-step explanation:
* Lets explain how to solve the problem
- We have a statement:
" six less than nine times the sum of a number and eight"
- When we solve we will start by the last part
- The last part is the sum of a number and 8
- Assume that the number is n
∵ The sum is the answer of adding
∴ The sum of a number and eight is ⇒ n + 8
- Nine times the sum
∵ The sum is n + 8
∵ Nine times means multiply the sum by 9
∴ Nine times the sum is ⇒ 9(n + 8)
- Six less than nine times the sum
∵ Nine times the sum is 9(n + 8)
∵ Six less than means subtract 6 from nine times the sum
∴ Six less than nine times the sum is ⇒ 9(n + 9) - 6
* The expression is 9(n + 8) - 6
- Lets evaluate the expression when n = 5
∵ 9(n + 8) - 6
∵ n = 5
∴ The value = 9(5 + 8) - 6
∴ The value = 9(13) - 6
∴ The value = 117 - 6
∴ The value = 111
* When n = 5 the value of the expression is 111
Answer:
it A
Step-by-step explanation:
How many 3/4s are in 2
Answer:
2
Step-by-step explanation:
If you do three you get more than two
of sales tax is 6%, what is the final price of a Microwave oven whose list price is $110.00?
Guided Practice
Carlos believes that the grade he receives on his math test is directly related to the amount of hours he spends studying. The equation y=12x+50 equals 12 x plus 50 represents the percentage grade he thinks he will earn, where y is the percentage grade and x is the number of hours that he spends studying. What does the y-intercept in his equation represent?
A.
If Carlos doesn’t study at all, his grade will be 50%.
B.
Carlos will spend 50 hours studying for his math test.
C.
For each hour Carlos spends studying, his grade will improve by 12%.
Answer:
look on my brainly, i'm still trying to find this answer.. the weather is messing with wifi/internet
Step-by-step explanation:
Use the slope-intercept form y = m x + b to find the slope m and y-intercept b .
Slope:
− 12 /49
y-intercept:
( 0 , 0 )
In the figure, all lines intersect at point W.
What is the value of n?
Please help quick
Answer:
n = 15
Step-by-step explanation:
A straight line equals 180 degrees
Angle SWT is congruent to angle XWV meaning:
SWT (55 degrees) = XWV (55 degrees)
Set up an equation:
3n + 80 + 55 = 180
Combine like terms
3n + 135 = 180
Subtract both sides by 135 to isolate variable n
3n = 45
Divide both sides by 3 to isolate variable n
n = 15
Which statement below describes the mode of the data represented in the relative frequency table? A) The mode of the data represented in the table is blue. B) The mode of the data cannot be determined. C) The mode of the data represented
Answer:
A
Step-by-step explanation:
Mode refers to a value that appears most frequently in a data set.
For example the mode in the data set below is 3 :
1, 2,3 4,3,3,9,10
3 is the mode because it appears 3 times in the data set while the other values appear only once.
Mode is a measure of central tendency
Other measures of central tendency includes : mean and median
Relative frequency measures how often a value appears relative to the sum of the total values. The relative frequency with the highest relative frequency value occurs the most
Blue has the highest relative frequency value
Work out the reciprocal of 0.125
Answer:
The right answer is 8 hope I helped
Mary Beth has a ribbon that is 15 cm long. Alicia has a ribbon that is 9 cm long. How many centimeters of ribbon do they have?
Answer:
24cm
Step-by-step explanation:
The ribbons they both have can be found by adding 15 to 9
15 + 9 = 24cm
Please help TIA!!!!!!!!
plzzzzz help me with this math plzzzz
Answer:
c i know just took it
Step-by-step explanation:
Answer:
C) -1(x+8)(x+7)
Step-by-step explanation:
[tex]-x^{2} -15x-56\\-1(x^{2} +15x+56)\\-1(x+8)(x+7)[/tex]
-1 factors through the entire equation.
8+ 7 = 15 and 8 x 7 = 56 (so 8 and 7 are our factors.)
Please help me find the volume :3
9514 1404 393
Answer:
(d) 539 mm³
Step-by-step explanation:
The total volume is the sum of the volumes of the parts. The volume of each part is the product of its dimensions.
volume of bottom part
V = LWH
V = (13 mm)(7 mm)(4 mm) = 364 mm³
volume of the top part
V = (5 mm)(7 mm)(5 mm) = 175 mm³
Then the total volume is ...
364 mm³ +175 mm³ = 539 mm³ . . . volume of the figure
The results of a survey are shown. In the survey, 28 students said their favorite dessert is ice cream. How many students were surveyed? Ice Cream: 35% Pie: 15% Candy: 23% Cake: 27%
Answer:
80 students
Step-by-step explanation:
35% = 28 students (Ice cream)
1% = 28 ÷ 35
= 0.8
Therefore,
100% = 0.8 × 100
= 80 students
Answer:
80 student
Step-by-step explanation:
28÷35×100 = 80
How can you use transformations to solve problems?
Choose all that are correct
А
You can use translations to describe a change in the shape of a figure.
B
You can use reflections to describe a change in the size of a figure.
C.
You can use rotations to describe a change in the position of a figure.
Answer:
C, you can use rotations to describe a change in the position of a figure.
What number is 80% of 80?
Answer:
64 IS THE ANSWER........
QUESTION IN THE PHOTO! NO WRONG ANSWERS PLS
Answer:
your answer should be 2
Step-by-step explanation:
hope it helps, have a wonderful day :)
Can someone answer this for me quickly!
Answer:
0.5
Step-by-step explanation:
If the 30 is in degrees, then the answer is 1/2 or 0.5. If the 30 is in radians, then your answer is -1.0.
Answer:
x = [tex] \boxed{\dfrac{1}{2}} [/tex] units
[As a fraction]
x = [tex] \boxed{0.5} [/tex] units
[As a decimal]
16=1/4x
Can someone help
Answer:
x=64
Step-by-step explanation:
Step 1: Flip the equation.
1 /4 x=16
Step 2: Multiply both sides by 4.
4*(1/4 x)=(4)*(16)
x=64
Perform the operation.
(x^2 + 8x + 8) + (-10x2 + 5x)
Answer:
-9x^2+13x+8
Step-by-step explanation:
Combine like terms-
(x^2 + 8x + 8) + (-10x^2 + 5x)
8x+5x = 13x
(x^2 + 8x + 8) + (-10x^2 + 5x)
-10x^2+x^2 = -9x^2
(x^2 + 8x + 8) + (-10x2 + 5x)
and 8 is just left over, so we put that all together and get...
-9x^2+13x+8
Good luck, have a great day!
What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid?
Answer:
17 units
Step-by-step explanation:
Moving from (-8, 0) to (7, 8), we see x changing by 15 units from -8 to 7 and y changing by 8 units from 0 to 8.
Regard 15 units as the horizontal leg of a right triangle and 8 units as the vertical leg. We use the Pythagorean Theorem to determine the length of the hypotenuse of this right triangle and interpret the result as the distance between the points:
d = √(15² + 8²) = √289 = 17
The distance between the given points is 17 units.
you rode a bicyde for 2 hours and travelled 43 km, calculate your average
speed.
Answer:
22.5km per hour
Step-by-step explanation:
