Answer:
Step-by-step explanation:
2. The volume of a cylinder is 95 cubic centimeters. Which equation
can be used to find h, the height of the cylinderę Circle the correct
answer.
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.
Please help 10 points :)
Answer:
median: 6
range: 7
mean: 5.4
Step-by-step explanation:
median is the middle value
range is the highest value minus the smallest value
mean is the total of all values divided by the total data values (174÷32, in this problem)
Add 2 to both sides of the equation.
So, I have this half-done equation, and the next step is to add 2 to both sides, how do I do that? Please help with a legit answer, thankyou so much!
x^3=∛(x-2)
Answer:
See below.
Step-by-step explanation:
Adding 2 to both sides will not help solve the equation.
Adding 2 to both sides gives you this:
x^3 = ∛(x-2)
x^3 + 2 =∛(x-2) + 2
What was the original question?
A special type of bar graph in which data are grouped into intervals of equal width
first two letters hi
Answer:
histogram
Hope that helps.
When a tree 8m high casts a shadow 3m long, how long is a shadow cast by a person 2m tall?
Answer:
3/4 meters
Step-by-step explanation:
We can use ratios to solve
8m 2 m
------- = -----------
3m x m
Using cross products
8*x = 3*2
Divide each side by 8
8x/8 = 6/8
3/4 meters
Answer:
x = 3/4 m
Step-by-step explanation:
Construct two similar right triangles that share an angle of elevation. The two vertical sides represent the heights of the person and the tree and are 2 m ad 8 m respectively. The two horizontal sides represent the shadow cast by the person and that cast by the tree, respectively. Because the triangles are similar, we can write the following equation of ratios:
8 m 3 m
--------- = --------
2 m x
... where x is the length of the shadow cast by the person.
Cross multiplying, we get:
8x = 6m, or x = 6/8 m, or x = 3/4 m
Find x. Give your answer in
the simplest form.
Answer:
Step-by-step explanation:
We have the value of the hypotenuse and we are trying to find out the adjacent. This means we can use cos.
Cos (45) = x/10
10 * Cos (45) = 10 * (√2 / 2)
This should equal to 5√2
The Secant of angle A is -5/4. a) What quadrants could angle A be in? b) Determine the measure(s) of angle A
Answer:
a) 2nd and 3rd quadrant
b) 143.13° and 36.87°
Step-by-step explanation:
Secant A = 1/cosecant A
sec A = 1/cosA
If Sec A = -5/4
Cos A = 1/(-5/4)
CosA = -4/5
Since cos A is a negative values, hence the angle A will be in the 2nd and 3rd quadrant
b) If CosA = -4/5
A = arccos(-0.8)
A = 143.13
A = 180 - 143.13
A = 36.87
Hence the measures of angle A are 143.13° and 36.87°
What is the formula for the volume of a prism?
What is the formula for the volume of a prism?
Answer:
Step-by-step explanation:
Base area * height
Answer:
i think that the answer is BH or Base area × Hight
A regular octagon is an eight-sided polygon with side lengths that are all equal. All three octagons are scale drawings of each other. Use the chart and the side lengths to compute each scale factor as a percent. How can we check our answers
Answer:
1.) 1.12/10= 1 2/10= 1.2% 10*1.2%=12
2.) 8/10=0.80% 10*0.80=8
3.)10/12=0.83% 12*0.83=10
%*whole
The sum of the 1st nth term gp is 127.the sum of the reciprocal is 127/64,if the 1st term is 1.find n and the common ratio
Answer:
Ratio (r) = 2
n = 7
Step-by-step explanation:
The formula for the sum of the nth term of a G.P is given as:
Sn = a(1-r^n)/(1-r)
Where n = Number of terms
r = Common ratio
The sum of the 1st nth term gp is 127.
Hence:
127 = 1(1-r^n)/(1-r)
The sum of the reciprocal is 127/64
The formula is inverted , hence:
Sn = 1/a(1-r^n)/(1-r)
127/64 = r^(1-n)(1-r^n)/(1-r)
Hence:
1/64 = r^(1-n)
r^(n-1) = 64
r^(n-1) = 2⁶
Hence:
r = 2
Solving for n
n - 1 = 6
n = 6 + 1
n = 7
Therefore:
r = 2
n = 7
What is the slope of the line that
passes through these two points?
(-1, 4)
(2, 2)
slope
[?
Answer:
-2/3
Step-by-step explanation:
2-4 / 2-(-1)
2-4 / 2+1
-2/3
An airplane descends 1.6 miles to an elevation of 8.05 miles. Find the elevation of the plane before its descent.
Answer:
9.65 miles
Step-by-step explanation:
Given:
Final elevation = 8.05 miles
Change in elevation = 1.6 miles
Let Initial elevation which is the elevation before descent = x
Initial elevation - change in = final elevation
(-ve) sign because it was a descent
x - 1.6 = 8.05
x = 8.05 + 1.6
x = 9.65 miles
Hence, elevation before descent is 9.65 miles
very
ich
10. Which is an example of a unit rate?
A $25 for 5 hours
B 100 miles in 3 hours
src 1 book every 2 days
D 20 pages per minute
Answer quick plzzz
Answer:
d
Step-by-step explanation:
hope this helps!
have a good day :)
ergrgsgegfgewfeg
It is 2.3 from Debra's house to the nearest mailbox. How far is it in meters? Be sure to include the correct unit in your answer.
PLEASE HELP ASAP THANK YOUUUU
Answer: C. The answer i got was C
Answer: 904.32 cm^3
Step-by-step explanation:
The formula to finding the volume of a sphere is (V=4/3(3.14)r^3
So in this case it would be (V=4/3(3.14)(6)^3
The radius is half the diameter so that's how I got 6.
The answer after multiplying everything would be 904.32
HELP PLS ILL GIVE U 30 POINTS IF U ANSWER THIS PLEASE HELP
Answer:
your answer will be Option A.$3,207.40
Step-by-step explanation:
hope it helps...
have a great day!!
Answer:
A. $3,207.40
Step-by-step explanation:
Hope this helps
Can anyone help me with this math equationv
Answer:
47/9
Step-by-step explanation:
5*9 = 45 +2 = 47
The value of x is
and the value of y is
Answer:
Y = 50 degrees, X = 60 degrees
Step-by-step explanation:
Since we know that the sum of angles in a triangle is 180 degrees, we can find x easily. We already know that the other two angles are 50 and 70, which adds up to 120, and 180 - 120 is equal to 60 degrees, meaning that x is equal to 60 degrees. Next, to find the measure of y, we first know that the sum of angles on a line is equal to 180 degrees, and if we find the other angle on the line by subtracting 60 + 50 from 180, we can find y. 180 - (60 + 50) = 70 degrees, and since 70 + x + y = 180 and x = 60, we know that x = 180 - (70 + 60) = 50. Therefore, y is equal to 50 degrees.
Answer:
Step-by-step explanation:
Solve these equations. Show solutions on a number line.
| x + 8 | = x + 8
Answer:
Step-by-step explanation:
if |x|=x,if x is positive.
|x+8|=x+8
so , x+8≥0
x≥-8
What is the GCF of 6 and 30?*
Answer:
3
Step-by-step explanation:
3 is the largest number that relates to the two numbers.
Answer:
6
Step-by-step explanation:
6x1=6
6x5=30
a first number plus twice a second number is 8 twice the first number plus the second totals 25
Answer:
The first number is 14
The second number is -3
Step-by-step explanation:
x + 2y = 8
2x + y = 25
Solving simultaneously,
2x + 4y = 16
2x + y = 25
On subtracting, we have
3y = -9
y = -3
Going to substitute for y, we have
x + 2(-3) = 8
x - 6 = 8
x = 14
HELP NEEDED ASAP HELP ME PLZ
Answer:
3
Step-by-step explanation:
105/7hrs
15/1hr
15/60min
0.25/per minute
0.25*12
= 3
Let f(x) =
= -x + 1 and find f(-4).
Select the correct response:
f(-4) = -7
of(-4) = 5
o f(-4) = -5
o f(-4)=7
Answer:
o f(-4)=7
Step-by-step explanation:
Sana makatulong:,-)
if 4.5kg sugar cost R36 what will 2.5kg cost
Answer:
Step-by-step explanation:
Find the unit rate of Sugar. Then find the cost of 2.5 Kg sugar
1 kg sugar =36 ÷ 4.5
[tex]= \frac{36*10}{4.5*10}= \frac{360}{45}\\\\= 8[/tex]
2.5 kg of sugar= 2.5 * 8 = 20.0 = R 20
Answer:
Kg Rupee
4.5 = 36
2.5 = ?
Therefore, 2.5*36/4.5
Therefore, 25*36*10/45*10
Therefore, 25*36/45
Therefore, 5*5*36/9*5
Therefore, 5*36/9
Therefore, 5*3*2*3*2/3*3
Therefore, 5*2*2
Therefore, 10*2
Therefore, 20
2.5 kg =20 Rupees
Evaluate 2p-nm-4, if m=3, p=15, and
n=5.
Step-by-step explanation:
given m = 3, p = 15 and n = 5,
[tex]2p - nm - 4 \\ = 2(15) - (5)(3) - 4 \\ = 30 - 15 - 4 \\ = 15 - 4 \\ = 11[/tex]
Matthew walks Ask Your Teacher mile to Zack's house. Which fraction is equivalent to Ask Your Teacher?
Question:
Matthew walks 4/10 to mile to Zack's house. Which fraction is equivalent to 4/10?
Answer:
[tex]Fraction = \frac{2}{5}[/tex]
Step-by-step explanation:
Given
[tex]Fraction = \frac{4}{10}[/tex]
Required
Determine its equivalent
To do this, we simplify the fraction
Divide by 2/2
[tex]Fraction = \frac{4/2}{10/2}[/tex]
[tex]Fraction = \frac{2}{5}[/tex]
Hence, 2/5 is an equivalent fraction
what is the volume of the bench in cub feet?
Split it into two rectangles:
6 x 2 x 2 = 24
3 x 2 x 2 = 12
Now add:
24 + 23 = 36 cubic feet
Granny needs to paint a Loge made using two right triangles the dimensions Of the loge are shown below what is the difference between the area of the large triangle in the area of a small triangle
Answer:
The difference is
Step-by-step explanation:
Given
Large triangle
[tex]Base = 5cm; Height=9cm[/tex]
Small triangle
[tex]Base = 2cm; Height=6cm[/tex]
See attachment for logo
Required
The difference in their areas
Area is calculated as:
[tex]Area = 0.5 * base * height[/tex]
For the large triangle
[tex]Area = 0.5 * 5cm * 9cm[/tex]
[tex]Area = 22.5cm^2[/tex]
For the small triangle
[tex]Area = 0.5 * 2cm * 6cm[/tex]
[tex]Area = 6cm^2[/tex]
The difference (d) is calculated as:
[tex]d = 22.5cm^2 - 6cm^2[/tex]
[tex]d = 16.5cm^2[/tex]
1.) 3x = 2/3
x = ?
2.) 15x = 36 + 3x
x = ?
Answer:
1. x=0.222222222222 2. x=3
Step-by-step explanation:
1.
3x=2/3
x=2/3/3
x=0.222222222222
2.
15x=36+3x
15x-3x=36
12x=36
x=36/12
x=3
Answer:
1.) x=0.22
2.) x=3
Step-by-step explanation:
Write a SIMPLIFIED inequality for x that would give a rectangle with a length of 4 meters and a width of x+7 meters an area of more than 128 meters squared.
Answer:
128 > 4*(x + 7)
Step-by-step explanation:
Given the following data;
Length = 4 meters
Width = x + 7 meters
Area = 128 m²
Mathematically, the area of a rectangle is given by the formula;
Area of rectangle = length * width
Substituting into the formula, we have;
128 > 4*(x + 7)
128 > 4x + 28
128 - 28 > 4x
100 > 4x
Dividing both sides by 4, we have;
25 > x