The volume of the cylinder depends on its radius and height. The volume of the cylinder is 141.3 m3.
What is the volume of the cylinder?The volume of the cylinder is defined as the density of the cylinder which measures the amount of material contained by the cylinder.
Given that the height h of the cylinder is 5m and the diameter d of the base of the cylinder is 6m.
The radius of the cylinder is given below.
[tex]r = \dfrac {d}{2}[/tex]
[tex]r= \dfrac {6}{2}[/tex]
[tex]r = 3\;\rm m[/tex]
The volume of the cylinder is calculated as given below.
[tex]V = \pi r^2 h[/tex]
[tex]V = 3.14 \times 3^2 \times 5[/tex]
[tex]V = 141.3 \;\rm m^3[/tex]
Hence we can conclude that the volume of the cylinder is 141.3 m3.
To know more about the volume of the cylinder, follow the link given below.
brainly.com/question/12748872.
Ramon read twice on Saturday. In the morning, he read for
1
2
hour. That afternoon, he read for
5
12
of an hour. How much time did Ramon spend reading on Saturday?
Answer:
if the numbers are separated by a fraction bar the response should be 11/12th of an hour on Saturday.
Step-by-step explanation:
1/2=6/12
5/12+6/12=11/12
HELP! Problem- Tim has a rectangular garden with an area of 36.63 square meters. The length of the garden is 4.5 meters. What is the width, in meters, of the garden?
A. 8.14
B. 11.42
C. 12.16
D. 30.62
please help meeeeee
Grace takes out a loan of $9,573.00 at a 4% simple rate for 4 years. a) How much interest will be paid after 2 years? b) How much total interest will be paid for this loan?
#1
Time=T=2yrsInterest be I
[tex]\\ \rm\hookrightarrow I=PRT/100[/tex]
[tex]\\ \rm\hookrightarrow I=9573(4)(2)/100=76584/100=765.84\$[/tex]
#2
T=4yrs[tex]\\ \rm\hookrightarrow I=9573(4)(4)/100=153168/100=1531.68\$[/tex]
Answer:
a) $765.84
b) $1,531.68
Step-by-step explanation:
Simple interest formula: SI = PRT
where P = principal amount of loan, R = annual rate of Interest in decimal format, and T = Time.
Given:
P = 9573R = 4% = 4/100 = 0.04a) when T = 2:
SI = 9573 x 0.04 x 2 = 765.84
b) when T = 4:
SI = 9573 x 0.04 x 4 = 1531.68
Rasheed is buying wings and quesadillas for a party. A package of wings costs $8. A package of quesadillas costs $10. He must spend no more than $160. Rasheed’s freezer will hold a maximum of 20 packages of wings and quesadillas.
Write a system of linear inequalities to represent the situation
Answer:
8x+10y=160
Step-by-step explanation:
x could equal 20 and y can be 0 or x can be 0 and y is 16.
Square ABCD is divided into 5 rectangles that all have the same area. FH = 20 and CK = KD. Find the length of BE.
Answer:
8cm
Step-by-step explanation:
The area of a shape is the amount of space it can occupy.
The length of BE is 8 units
The question is incomplete.
So, I will give a general solution
Assume that the length BE is 2/5 of length FH.
Then the length BE would be:
BE = 2/5 * FH
Substitute 20 for FH
BE = 2/5 * 20
Evaluate the product
BE = 8
Using the assumed value, the length of BE is 8 units
Read more about areas at:
https://brainly.com/question/24487155
Simplify and state the domain for x^2-x-12/x-4
The domain of a function is the set of input values the function can take
The domain is all set of real numbers
How to determine the domain
The expression is given as:
[tex]\frac{x^2 - x - 12}{x - 4}[/tex]
Factorize the numerator of the expression
[tex]\frac{(x - 4)(x + 3)}{x - 4}[/tex]
Simplify: Cancel out the common terms
[tex]x + 3[/tex]
The above expression can take any value of x.
Hence, the domain is all set of real numbers
Read more about domain at:
https://brainly.com/question/2264373
You are in need of a $7,500 loan, which you plan to repay over 5 years. Your credit score is currently 690. Using the rates and the online calculator below, determine how much your savings would be if your credit score were 700 instead of 690.
Answer:
$232.57
Step-by-step explanation:
1 year = 12 months
⇒ 5 years = 5 x 12 = 60 months
APR credit score of 700 or higher = 13.25%
(using the APR calculator) total payment over term of loan = $10,296.56
APR credit score of 699 or lower = 14.25%
(using the APR calculator) total payment over term of loan = $10,529.13
Savings = $10,529.13 - $10,296.56 = 232.57
There are 50 lifeguards working at a beach on a certain day there were 20 lifeguards working what percent of the lifeguards were working that day
Answer: 40 percent
Step-by-step explanation:
To get percentage you divide the part by the whole, so you do 20 divided by 50, which is 40 percent.
A store pays $5 for a computer mouse and marks the price up by 45% what is the amount of the mark-up
Answer:
Mark-up = $2.25
Total price after mark-up = $7.25
Step-by-step explanation:
Well, 45% of $5 is $2.25, so now you just add that back to the total, which would be $7.25.
6 × 1 + 5 × 1/10 please answer
Answer: 13/2 or 6 1/2
Step-by-step explanation:
6 × 1 + 5 × 1/10
6 + 5 x 1/10 <-- Reduce 5 and 10 in 1/10 by the GCF, 5
6 + 1/2
Use 2 as a common denominator so multiply 6 by 2
12/2 + 1/2
13/2 or 6 1/2
please help me lol a lil confused
[tex] \leadsto f( \rm x) = - (x - 3)(x - 5)[/tex]
[tex] \\ \\ [/tex]
[tex] \leadsto f( \rm x) = - ( {x}^{2} - 5x - 3x + 15) \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \leadsto f( \rm x) = - ( {x}^{2} - 8x + 15) \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \leadsto f( \rm x) = - {x}^{2} + 8x - 15 \\ [/tex]
Answer:
3rd option is correct
Step-by-step explanation:
hope this helps you :)
10 points for answer
Tim's family is visiting Emeryville. They plan to see a movie and then explore the town. The
movie will cost the family $48, and parking costs $8 per hour.
How long will the family be able to spend in Emeryville if they want to spend less than $80 and
they don't have any other expenses?
Answer:
4 hours
Step-by-step explanation:
the cost of movie is $48
means they have $32 left with them
parking charge is $8 (32/8= 4)
means they can spend 4 hours in Emeryville
Question is in the picture
What's the ratio for tan B
Answer:
C. [tex]tan(B) =2[/tex]
Step-by-step explanation:
Here we can see tan(B) has a opposite side of 2 and adjacent of 1.
[tex]tan(B) = \frac{opposite}{adjacent}[/tex]
[tex]tan(B) = \frac{2}{1}[/tex]
[tex]tan(B) =2[/tex]
Answer:
[tex]\textsf{tan(B)}=2[/tex]
Step-by-step explanation:
The trig ratio for tan is tan(x) = O/A
where x is the angle,
O = side OPPOSITE to the angle, and
A = side ADJACENT to the angle
For angle B:
O = 2
A = 1
Therefore, [tex]\textsf{tan(B)}=\frac{2}{1}=2[/tex]
how does 4(x + 2) = - 4 equals to x = -3
you have to get X alone
Answer:
Explained below
Step-by-step explanation:
4(x + 2) = - 4
Let's solve:
4(x + 2) = - 4
4(x) + 4(2) = - 4
4x + 8 = - 4
- 8 - 8
4x = -12
/4 /4
x = -3
Hope this helps!
-4
-3
-2
-1
0
1
1
2
3
4
b.
12
5
0
-3
-4.
у
-30
5 12
Answer:
Linear Regression: y = 0x + 2.67
Quadratic Regression: y = 1x^2 + 0x - 4
Step-by-step explanation:
USE STATS CALCULATOR
Circle the smallest fraction:
1/4
1/5
5/16
1/3
Answer:
B
Step-by-step explanation:
1/4=25%
1/5=20%
5/16=31.25%
and 1/3=33%
If x - 5y = 6, what is the value of y when
X= -4?
A:-2
B-2/5
C:2/5
D:2
Answer:
I think the answer is D. 2
Answer:
The answer is A
Step-by-step explanation:
x is equal to - 4
so the the x is replaced by the- 4 and then you will group like- items
Divide both sides by - 5 to get - 2
0.9(x−20)=830
x=
0.9x+20=830
x=
Answer:
Step-by-step explanation:
1) x-20 = 830/0.9 = 8300/9
So x-20 = 8300/9 -> x=8300 /9 + 20 = 8480/9
2)try on your own
Guys, I need help with my last 2 weeks of my math word problem homework from The Hung Vuong Learning Centre Incorporated as soon as possible!! I'll give you 100 points in order for you to answer to my last 2 weeks of my math word problem homework package from The Hung Vuong Learning Centre Incorporated and I’ll give you a Brainliest award if your answers with the best efforts and explanations, so here it is, please listen up and pay attention to me without ignoring my last year’s math homework package from The Hung Vuong Learning Centre Incorporated for no reason! :D
The question #11 from 4.5 Modelling With Algebra Section is Sally, Letitia, and Jessica play together on a basketball team. Now at the end of the season, Sally has been scored 8 more points than Letitia, while Letitia has been scored just twice as many points as Jessica. The 3 girls scored a total of 108 points. How many points did an each girl score?
Please answer to my math word problem question as soon as possible with the best efforts and the best step-by-step explanations in order to get the Brainliest award of all the time! :D
Well anyways, guys, good luck on answering my math word problem question of my last 2 weeks of my math word problem homework from The Hung Vuong Learning Centre Incorporated in order to get the best Brainliest award of all of the time, and I will check the answers to see if it’s appropriate for me. :)
Answer:
Jessica scored 20 points, Letitia scored 40 points, and Sally scored 48 points.
Step-by-step explanation:
Let x represent the points Jessica score then...
Letitia scored 2x points (twice as many as Jessica) and Sally scored 2x+8 (8 more than Letitia) points.
We can use this information to set up an equation:
x+2x+2x+8=108
Combine like terms
5x+8=108
Subtract 8 from both sides
5x=100
Divide both sides by 5
x=20 (Jessica)
2x=2(20)=40 (Letitia)
2x+8=2(20)+8=48 (Sally)
Jessica scored 20 points, Letitia scored 40 points, and Sally scored 48 points.
What sum is represented by the following number line?
A.) 2 3/4 +(-4 3/4) =-1 2/4
B.) 2 3/4 + (-4 1/4) = -1 2/4
C.) -1 1/2 + 2 3/4 = 4 1/4
D.) 2 3/4 + (-3 1/4) = -1 2/4
Answer:
B.) 2 3/4 + (-4 1/4) = -1 2/4
Step-by-step explanation:
blue line: forward with positive +[tex]2\frac{3}{4}[/tex]
red line: backward with negative -[tex]4\frac{1}{4}[/tex]
so the number line follows: [tex]2\frac{3}{4}[/tex] + -[tex]4\frac{1}{4}[/tex] = -1 2/4
Step-by-step explanation:
Mark the end of arrows
2-3/4-4-1/4So add them
[tex]\\ \tt\hookrightarrow 2\dfrac{3}{4}+(-4\dfrac{1}{4})=-1\dfrac{2}{4}[/tex]
andres is 1.65 meters tall. At 2 p.m., he measures the length of a tree's shadow to be 40.15 meters. He stands 35 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter.
Answer:
Step-by-step explanation:
For the given data the height of the tree will be 12.86.
What is the triangle?A triangle is a three-sided polygon having three edges and three vertices in terms of geometry. The sum of the inner angles of the triangle is 180°.
Given that, Andrés is 1.65 meters tall, this is obvious. He determines the length of a tree's shadow at 2 p.m. to be 40.15 meters. The tip of his shadow touches the tip of the tree's shadow while he stands 35 meters away from the tree.
Since the triangle ABC and ADF are similar, their ratio will be the same.
Suppose the height of the tree to the nearest hundredth of a meter will be x.
5.15/40.15=1.65/x
5.15x=1.65× 40.15
5.15x=66.2475
x=66.24/5.15
x=12.86
Thus, the height of the tree will be 12.86.
Learn more about the triangle here:
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I need help!!!! Evaluate 4/7 + 8/3 in fraction form
Answer:
3 5/21.68/21Step-by-step explanation:
Given equation:
4/7 + 8/3Solve:
4/7 + 8/3= 12/21 + 56/21= [tex]\frac{12 + 56}{21 + 0}[/tex]= 3 5/21.= 68/21.Keisha is buying a pair of jeans that are regularly
$54.99. If they are on the clearance rack for 35%
off and sales tax is 7.2%, what is the total amount
she will pay?
4. Eddie invests £4000 into a savings account, the bank pays him 4% compound
interest per annum. At the end of n years he has £4679.43 to the nearest
penny. What is the value of n?
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\pounds 4679.43\\ P=\textit{original amount deposited}\dotfill &\pounds 4000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{per annum, thus once} \end{array}\dotfill &1\\ t=years \end{cases}[/tex]
[tex]4679.43=4000\left(1+\frac{0.04}{1}\right)^{1\cdot t}\implies \cfrac{4679.43}{4000}=(1.04)^t \\\\\\ \log\left( \cfrac{4679.43}{4000} \right)=\log(1.04^t)\implies \log\left( \cfrac{4679.43}{4000} \right)=t\log(1.04) \\\\\\ \cfrac{\log\left( \frac{4679.43}{4000} \right)}{\log(1.04)}=t\implies 4\approx t[/tex]
Find the next two terms in this sequence, 4,8 ,16
Answer:
32, 64
Step-by-step explanation:
There is a common ratio between consecutive terms , that is
[tex]\frac{8}{4}[/tex] = [tex]\frac{16}{8}[/tex] = 2
to obtain a term in the sequence multiply the previous term by 2
16 × 2 = 32
32 × 2 = 64
find the nth term in the sequence:
-5, -2, 3, 10, 19
Answer:
75
Step-by-step explanation:
Start by adding 3 then each time add an odd number to the sequence
First time add 3 then add 5 then add 7 then add 9 etc.
so we have:
-5, -2, 3, 10, 19, 30, 43, 58, 75
so its 75
Please mark Brainliest :)
Answer:
The pattern in +3, +5, +7, +9, +11, +13, +15, +17, +19. . .
6th = 30
7th = 43
8th = 58
9th = 75
10th = 94
Find the area of the shape.
Either enter an exact answer in terms of π or use 3.14and enter your answer as a decimal.
some one plssssss
Answer:
50.24 units^2
Step-by-step explanation:
A=(3.14)(4)^2
Sandy bought a pair of shoes on sale for 40% off the original price and an additional 25% off the discounted price. If the shoes originally cost $60, what was the final cost, without tax, that Sandy paid for the shoes? (I ALREADY KNOW THE ANSWER. BUT I NEED THE WORK FOR THE ANSWER TO SHOW MY TEACHER) (the answer is $27)
The price is $27.00
Step-by-step explanation:
First you find 40% of 60 which is 24.
Next you subtract 24 from 60 (60-24) which equals 36.
Then you find 25% of the discounted price (36) which is 9.
Finally you subtract 9 from 36 (36-9) which is 27.
Conclusion:
So therefore the answer is $27.00.
I don't care if I get brainlyist just glad I could help :)
If cosθ = [tex]\frac{2}{\sqrt{19} }[/tex] and angleθ is in Quadrant I, what is the exact value of tan2θ in simplest radical form???
we know that θ is in the I Quadrant, namely that cosine as well as sine are both positive, well, we know that
[tex]cos(\theta )=\cfrac{\stackrel{adjacent}{2}}{\underset{hypotenuse}{\sqrt{19}}}\qquad\qquad \textit{let's get the \underline{opposite side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{(\sqrt{19})^2-2^2}=b\implies \pm\sqrt{19-4}=b\implies \pm\sqrt{15}=b\implies \stackrel{I~Quadrant}{+\sqrt{15}=b} \\\\[-0.35em] ~\dotfill[/tex]
[tex]tan(\theta)=\cfrac{\stackrel{opposite}{\sqrt{15}}}{\underset{adjacent}{2}}~\hspace{10em} tan(2\theta)=\cfrac{2tan(\theta)}{1-tan^2(\theta)} \\\\[-0.35em] ~\dotfill\\\\ tan(2\theta)=\cfrac{2\cdot \frac{\sqrt{15}}{2}}{1-\left( \frac{\sqrt{15}}{2} \right)^2}\implies tan(2\theta)=\cfrac{\sqrt{15}}{1-\frac{15}{4}}\implies tan(2\theta)=\cfrac{\sqrt{15}}{~~\frac{4-15}{4}~~} \\\\\\ tan(2\theta)=\cfrac{\sqrt{15}}{~~ \frac{-11}{4}~~}\implies tan(2\theta)=-\cfrac{4\sqrt{15}}{11}[/tex]