Given:
The volume of a cylinder is 95 cubic centimetres.
To find:
The equation that can be used to find h, the height of the cylinder.
Solution:
We know that, the volume of a cylinder is:
[tex]V=\pi r^2h[/tex]
We know that the base of the cylinder is a circle and the area of the circle is [tex]\pi r^2[/tex]. So, the base area of the cylinder is [tex]B=\pi r^2[/tex].
Now, volume of the cylinder is
[tex]V=Bh[/tex]
The volume of a cylinder is 95 cubic centimetres.
[tex]95=Bh[/tex]
[tex]\dfrac{95}{B}=h[/tex]
[tex]h=\dfrac{95}{B}[/tex]
Where B is the base area of the cylinder.
Therefore, the correct option is G.
Simplify fully125y2/10xy
Answer:
12.5y/x
Step-by-step explanation:
125y²/10xy = 12.5y/x
A new apartment complex is opening in College Station. The rent for each apartment is determined by its size: $1,500 for a 3-bedroom apartment, $900 for a 2-bedroom, and $500 for 1-bedroom. If all the apartments are occupied for one month, the rent revenue will be $750,000. There are 200 more 1-bedroom apartments than the number of 2-bedroom and 3-bedroom apartments combined. There are a total of 1,550 bedrooms for all 1,000 apartments. Which system of equations can be used to determine the number of 1-bedroom apartments (x), the number of 2-bedroom apartments (y), and the number of 3-bedroom apartments (z)?
Answer:
500x + 900y + 1500z = 750,000 - - - (1)
x + y + z = 1000 - - - - (11)
x = 200 + y + z - - - - (111)
x + 2y + 3z = 1550 - - - (1V)
Step-by-step explanation:
I bedroom = x
2 bedroom = y
3 bedroom = z
All the condition s gjvbbs'
500x + 900y + 1500z = 750,000 - - - (1)
x + y + z = 1000 - - - - (11)
x = 200 + y + z - - - - (111)
x + 2y + 3z = 1550 - - - (1V)
Which equation shows a quadratic function where the vertex is at the origin?
a. y = –4x
2 + 4
b. y = 4x
2
c. y = 4x
2 + 4
d. y = −4x
2 + 4x – 1
Answer:
B. y = 4x
2 + 4
Step-by-step explanation:
sana nakatulong
What is the area of the triangle?
24
7
25
units 2. Help me please
Answer:
area of triangle=1/2×base×height
area of triangle=1/2×24×7
area of triangle=84unit²
Judah rides his bike 15 miles in 1/2 an hour.How many miles does he ride in one hour?
i need help please this is quite hard for me
Use matrices to determine the coordinates of the vertices of the rotated figure. Then graph the pre-image and the image of the same coordinate grid. Rot90 for UVW with vertices U(-4, 7), V(5, 4), and W(5, -5).
Answer:
The answer is A
Step-by-step explanation:
just got it right on edge :)
The images of the points are U' (-7, -4), V' (-4, 5), W' (5, 5)
What is Rotation?A rotation is a type of transformation that rotates each point in a figure a specific number of degrees around a particular point.
90° clockwise rotation: (x,y) becomes (y,-x) 90° counterclockwise rotation: (x,y) becomes (-y,x) 180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y) 270° clockwise rotation: (x,y) becomes (-y,x)When we rotate a point around the origin by 90° clockwise or anti-clockwise, (x,y) becomes (y,-x) .
- Then matrix of the rotation 90° is
[tex]\left[\begin{array}{ccc}0&-1\\1&0\end{array}\right][/tex]
We have the point U (-4, 7) and its image is
U' =[tex]\left[\begin{array}{ccc}0&-1\\1&0\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}-4\\7\end{array}\right][/tex]
U' = [tex]\left[\begin{array}{ccc}-7\\-4\end{array}\right][/tex]
and, point V is (5, 4) and its image is
V' = [tex]\left[\begin{array}{ccc}0&-1\\1&0\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}5\\4\end{array}\right][/tex]
V' = [tex]\left[\begin{array}{ccc}-4\\5\end{array}\right][/tex]
and, point W is (5, -5) and its image is
W' = [tex]\left[\begin{array}{ccc}0&-1\\1&0\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}5\\-5\end{array}\right][/tex]
W' = [tex]\left[\begin{array}{ccc}5\\5\end{array}\right][/tex]
So, The images of the points are U' (-7, -4), V' (-4, 5), W' (5, 5)
Learn more about Rotation here:
https://brainly.com/question/12518192
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Can someone help me on this plzzz
Andrea uses 9.2 pints of white paint and blue paint to paint her bedroom walls. 3/5 of this
amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to
paint her bedroom walls? 1)
Answer:
You'd need 2/5 of 9.2 pints of blue paint
2/5 * 9.2 = .4 * 9.2 = 3.68 pints of blue paint
Step-by-step explanation:
Which equation has a axis of symmetry of x=4 ?
I think you forgot to add the picture. However, any x = 4 equation will result in a graph with a vertical line on the x-axis. For example x = 20 will be a vertical line on x-axis 20.
Or, in a more difficult equation like this...
10x - 60 = 10
10x = 10 +60
10x = 70
x = 7,
where the graph looks like a vertical line with a point on the x axis on 7.
Toby found a $52 wallet on the clearance
rack for 60% off. If sales tax is 6.25%, how
much will he pay in total?
A.$22.10
B.$23.75
C.$28.50
D.$33.15
Answer:
A. $22.10
Step-by-step explanation:
52 x 0.4 = 20.8
20.8 x 1.0625 = 22.1
Write a function rule for the values in the table
10
10
12
20
18
50
20
60
y=
Answer:
y = 5x - 40
Step-by-step explanation:
The function rule can be written in slope-intercept form, y = mx + b.
Let's find slope (m) and y-intercept (b) of the function, using the values given in the table.
✔️Slope (m) = change in y / change in x
Using two pair of values from the table, (10, 10) and (12, 20),
Slope (m) = (20 - 10) / (12 - 10) = 10/2 = 5
Slope (m) = 5
✔️ y-intercept (b):
Substitute (x, y) = (10, 10) and m = 5 into y = mx + b.
Thus:
10 = 5(10) + b
10 = 50 + b
10 - 50 = b
b = -40
✔️Write the function by substituting m = 5 and b = -40 into y = mx + b
Thus:
y = 5x + (-40)
y = 5x - 40
hello please help i’ll give brainliest
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 1/2
Explanation:
1/4 - (-1/4) = 1/4 + 1/4 = 1/2
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
please show your work.
Answer:
1. 8.19, 2. 25.96, 3. 3.95
Step-by-step explanation:
use soh cah toa
1. cos is adjacent/hypotenuse
cos73=x/28
multiply both sides by 28
28cos73=x=8.186
2. sin is opposite over hypotenuse
sin68=x/28
multiply both sides by 28
28sin68=x=25.961
3. sin is opposite over hypotenuse
sin26=x/9
myltiply both sides by 9
9sin26=x=3.945
The radius of a circle is 3.8 feet find the diameter
Answer:
7.6
Step-by-step explanation:
radius is half the diameter so multiply 3.8 times 2.
If 10% of a number is 12 and 45% of the same number is 54, find 35% of that number.
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 42
Explanation:
120 x .35 = 42
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
42 is your answer
Answer:
let no be x
10% of x=12
x=1200/10=120
again
45% of x=54
x=5400/45=120
here
35% of 120=35/100×120=42
❗❗❗❗After the February phase of the revolution, what major mistake did the new provisional government make that would make it more susceptible to being overthrown?
ASAP Giving you 100 points ❗❗❗❗
Answer: c
Step-by-step explanation:
Answer:
again, did some reading, they make note of continuing battle to support Serbia. I saw nothing of Japan. so my calculated guess would be the 2nd one. to continue in battle even with heavy casualties
Step-by-step explanation:
doesn't mean I'm right though.
I'LL GIVE BRAINLIEST PLEASE ANSWER ALL FOUR PLEASE
Answer:
Step-by-step explanation:
1.) 700*0.42 = 294. Out of the 700 people at the concert, 294 are tennagers.
2.) 1.07*$450 = $481.50, including sales tax (final price)
3.) 120/(100%-85%) = 120/0.15 = 800. Original amount of water is 800 ml (Check by 800mL*0.15, which equals 120 mL)
4.) 100-35-45 = 20%
250*20% = 50; Out of the 250 sandwiches, Josh made 50 ham sandwiches.
joey took a total of 12 pages of notes during 3 hours of class. after attending 4hours of class, how many pages of notes will joey have in his notebook
HELPPP
Answer:
If he kept taking notes at the same pace, he would have 16 pages of notes in his notebook.
Step-by-step explanation:
By dividing the number of pages of notes taken by the time spent taking them, you can find his rate of note-taking, which is 4 pages an hour. By adding another hour of notes, he should have 16 pages of notes. But if this question is asking for 4 more hours, the answer would be 28 pages.
One of the measures of a triangle is 30º. If the sum of the other 2 angles is 150º and the differnce their measures is 18º what are the of the unkown angles
Answer: 84° & 66°
Step-by-step explanation:
find our variables...
difference in two unknown angles is 18 so...
Let's use a, b, & c to set up
a=30 b=b c=b-18
150=b+c
150=b+(b-18)
150=2b-18
168=2b
84=b
Use our known b to find c...
c=b-18
c=84-18
c=66
Adding all three up to make sure they give us 180 degrees is a good way to check our work.
a+b+c=
30+84+66=180
In the accompanying diagram of circle O, mAB = 64 and
m
What is the measure of CD?
A 104°
B 80°
C 52°
D 40°
Answer:
D 40°
Step-by-step explanation:
52= X + 64 /2
*2. *2
104 = X + 64
-64 -64
40 =X
A survey is conducted at two junior high
schools asking students about the number of
sodas they consume each day.
Sodas Consumed Per Day
HE
Junior High
Junior High B
1
Based on the data shown in the graphs,
which statement is true?
Answer:
A
Step-by-step explanation:
You people my pl
A six-sided die is rolled 150 times.
Which of the following BEST describes how many times it is likely to land on an odd number
А
exactly 50 times
exactly 75 times
С
approximately 50 times
D
approximately 75 times
C
Kk
Answer:
approximately 75 times
Answer:
approximately 75 times
Step-by-step explanation:
Which of these correctly rearranges the terms in this polynomial so like terms are next to each other
Question is not complete, so i have attached it.
Answer:
B: -2x² - 6x² - 6x + 3x + 3 + 2
Step-by-step explanation:
From the image attached, the given polynomial is;
3 - 6x - 2x² + 3x - 6x² + 2
For like terms to be next to each other, we have to rearrange it as follows;
-2x² - 6x² - 6x + 3x + 3 + 2
Like terms are x² and x, thus they are now arranged next to each other.
The only option that corresponds to our answer is option B
Help me with Math
( graphs )
PLEASEEE
What is the spread of the data?
A. 15 to 30 years
B. 18 to 25 years
C. 21 to 25 years
D. 18 to 21 years
There were 5 girls and 22 boys in Mrs. Pantoja's math class.
Write the number of girls as a fraction of the number of boys. Then write the
fraction as a decimal.
Answer:
5/22 and for the decimal it will be, 0.22727272727273.
Step-by-step explanation:
Mark is increasing his exercise routine by running and walking at least 4 miles each day. His goal is to burn a minimum of 1,500 calories from this exercise. Walking burns 270 calories/mile and running burns 650 calories. Could he meet his goal by walking 3 miles and running 1 mile?
Answer:
No
Step-by-step explanation:
1. (270 * 3) + (650 * 1)
2. 810 + 650
3. 1,460 miles. Therefore, by doing this, Mark would have trekked 1,460 miles.
4. 1500 > 1460, so Mark would not meet his goal by doing this.
What would it be? thank you
Answer:
C = 43.98 inches; A = 153.94 square inches
Step-by-step explanation:
2*pi*(7)=43.98
pi*(7)^2=153.94
I f m<4=30 degrees, find m<3
m<3=60°
Answer:
m<4+m<3=90° each angle of rectangle is 90°
m<3=90-30=60°