Answers
Answer:
681 m^3
Step-by-step explanation:
Winder only found part of the volume. He also needs to find the volume of the hemisphere.
I would first find the volume of the cylinder like Winder, then proceed to calculate the volume of the hemisphere, which is V = 4/3π(4^3)=27.16 m^3. The total volume inside the storage tank is 681 m^3 when rounded to the nearest cubic meter.
Related Questions
Demarcus has to wrap a gift for his friend's birthday party. The gift is in a rectangular
box with the dimensions shown below. He's trying to figure out how much gift wrap
he needs to cover the entire box. Should he calculate the total surface area or the
lateral surface area? Pick the right measurement and then calculate it for him.
In your answer, specify whether he should use total surface area or lateral surface
area. Calculate the one you choose, give that measurement of the box, and then
explain how you calculated it.
13 in
20 in
8 in
Answers
Demarcus should calculate the total surface area of the rectangular prism and the measurement is 1,048 in²
How to calculate the total surface area of a rectangular prismLength = 20 inwidth = 8 inHeight = 13 inTotal surface area = 2(lw + hw + lh)
= 2(20×8 + 13×8 + 20×13)
= 2(160 + 104 + 260)
= 2(524)
= 1,048 in²
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Christopher opened a savings account with $1800 that pays no interest. He deposits an additional $90 each week thereafter. How much money would Christopher have in the account 42 weeks after opening the account?
Answers
Answer:
I think 5580
Step-by-step explanation:
You move the 1800 away for a bit so since it's 42 weeks you have to multiply 90 and 42 then add that to 1800.
It is given that AB CD Identify the postulate that proves the triangles are congruent
Answers
Answer:
i can't see the multiple choice
Step-by-step explanation:
angle c and b are equal
angle a and d are equal
and you have a common angle o
and ab = cd
The triangles ΔAOB and ΔDOC are congruent to each other by SSS and SAS postulates. Then the correct option is A.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
It is given that AB || CD. The side AB is congruent to the side CD.
The line AD and BC intersect at the mid-point. Then the line segment AO and OD will be congruent and the line segment CO and OB will be congruent.
And the angle ∠AOB and ∠COD will be congruent because they are vertically opposite angles.
The triangles ΔAOB and ΔDOC are congruent to each other by SSS and SAS postulates. Then the correct option is A.
More about the triangle link is given below.
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x + y = 5 2x - y = 1 substitution method
Answers
[tex]x+y = 5~~...(i)\\\\2x-y = 1~~...(ii)\\\\\text{From (i):}\\\\x+y = 5\\\\\implies x = 5-y~~~.....(iii)\\\\\text{Substitute equation (iii) in equation (ii):}\\ \\2(5-y)-y = 1\\\\\implies 10 - 2y -y = 1\\\\\implies 3y = 9\\\\\implies y = \dfrac 93 = 3\\\\\text{Substitute y= 3 in equation (iii):}\\\\x= 5-3 = 2\\\\\text{Hence,}~ (x,y) = (2,3)[/tex]
Answer:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(2,3)
Equation Form:
x = 2, y = 3
Step-by-step explanation:
Let x be a random variable with uniform distribution on (100,200). Find the probability that x assumes a value
Answers
The probability that x assumes a value less than three standard deviations from the mean is 1.
What is uniform distribution?The continuous uniform distribution, sometimes known as the rectangle distribution, is a family of symmetric probability distributions in probability theory and statistics.
We have:
x be a random variable with uniform distribution on (100,200).
It is required to find the probability that x assumes a value less than three standard deviations from the mean.
From the empirical rule, the data falls within three standard deviations of the mean in 99.7% of cases.
99.7% data from the (100, 200) is up to 199.7
Total number of favourable outcomes = 99.7
The probability that x assumes a value less than three standard deviations from the mean:
= 99.7/(200-100)
= 0.997 ≈ 1
Thus, the probability that x assumes a value less than three standard deviations from the mean is 1.
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Question 6
Luna mixes 2 cup of orange juice with a cup of cranberry juice. She gives
cup of the juice to Mags. How much is left in Luna's glass?
Answers
Answer:
nothing
Step-by-step explanation:
2cups= orange juice
1 cup= cranberry juice
nothing the orange and juice was used to make the mixture of juice
Answer:
its nothing??
Step-by-step explanation:
you gave it to mags so its nothing
Which of the following statements about check-cashing companies is FALSE?
Answers
Answer:
there are no statements...
On a map with a scale of 1 : 50000 , he shortest distance from the railway line to the river is 2.1km. What distance on the map would represent this?
Answers
Answer:
105,000
Step-by-step explanation:
I'd the scale is 1 : 50,000, you would first take the 2.1km and multiply it by your 50,000. This will put your answer to scale coming in at 105,000 km on the map
Triangle ABC has an area of 25 square feet and a perimeter of 65.5 feet. △ABC is dilated by a factor of 5/2 to create △DEF. \
Calculate the area of ABC using the scale factor.
Calculate the perimeter of DEF using the scale factor.
Answers
Answer:
Solution. To find the perimeter of \triangle ABC we use the Pythagorean Theorem which tells us that |AB|^2 = |AC|^2 + |BC|^2. Since |AC| = 5 and |BC| = 12 we find that |AB| = \sqrt{169} = 13. The perimeter of \triangle ABC is then 5 + 12 + 13 = 30 units.
Hi built the bookshelf shown below the bookshelf is 4 feet tall with a solid board on the back and each shelf measures 18 inches deep by 24 inches across if Chi wants to paint all the surfaces including the underside of each shelf and the base as well as both sides of the bookshelves back and sides how many square feet will paint
Answers
it should be 137
if not am sorry. am not the best at math
Rewrite each equation without using absolute value for the given conditions.
y=|x-3|+|x+2|-|x-5| if x>5
Answers
Answer:
x>5, so
let x=6
6-3=3
+
6+2=8
-
6-5=1
3+8-1=10
answer=10
The cpi is currently 153. if a coffee maker costs $31.90 today, how much did one cost in 1983, to the nearest cent? a. $20.85 b. $21.20 c. $26.60 d. $48.81
Answers
its C
One coffee maker's cost in 1983 was $20.85 if the current CPI is 153 option (a) is correct.
It is given that the CPI is currently 153 if a coffee maker costs $31.90 today. It is required to find how much did one cost in 1983.
What is CPI?It is defined as the tool to measure inflation that indicates between two periods how much cost is increased. It can be represented by [tex]\rm CPI_t[/tex] for the given time 't'
The formula for finding the CPI:
[tex]\rm CPI_t = \frac{C_t}{C_0}\times 100[/tex]
Where [tex]\rm c_t[/tex] is the cost in the current market
[tex]c_0[/tex] is the cost at the given period.
We have in the question:
[tex]\rm c_t = \$31.90\\\\\rm CPI_t = 153[/tex]
Putting these values in the CPI formula, we get:
[tex]\rm 153= \frac{31.90}{C_0}\times 100\\\\\rm c_0 = \frac{3190}{153} \\\\\rm c_0 = \$20.84 \approx \$20.85[/tex]
Thus, one coffee maker's cost in 1983 was $20.85 if the current CPI is 153.
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The Furnace Creek Airport in Death Valley, California, has an elevation of 64 meters below sea level. The lowest point in New Orleans, Louisiana, has an elevation of -2 meters. What is the difference between the elevation in New Orleans and the elevation at the Furnace Creek Airport?
Answers
Answer:66 meters
Step-by-step explanation:
just change the negative to a positive and add them together. It would be 66.
What is the following sum? 4 (RootIndex 5 StartRoot x squared y EndRoot) 3 (RootIndex 5 StartRoot x squared y EndRoot).
Answers
The sum of the given data will be 7 ⁵√x²y. The result or answer we obtain when we count two or more digits or terms is known as a sum.
What is the sum?The result or response we obtain when we add two or more numbers or terms is known as a sum.
The given terms will be
[tex]\rm x= 4\sqrt[5]{x^2y} \\\\ \rm y= 3\sqrt[5]{x^2y}[/tex]
The sum is found as;
S= x+y
[tex]\rm S=\rm 4\sqrt[5]{x^2y} + 3\sqrt[5]{x^2y} \\\\ \rm S=\sqrt[5]{x^2y} (4+3) \\\\ \rm S=7\sqrt[5]{x^2y}[/tex]
Hence the sum of the given data will be 7 ⁵√x²y.
To learn more about the sum refer to the link;
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Answer:
Its C
Step-by-step explanation:
TRUST>>>
You have a job as a teacher. Your salary for the first year is $37,185.
You will receive a 6% increase every year.
Part A Would an arithmetic or geometric sequence best model this situation?
- Arithmetic
- Both
- Neither
- Geometric
Part B: What explicit formula models this situation?
- an=37185*(.06)^n-1
- an=37185*(1.06)^n-1
- an=6*(37185)^n-1
- an=6*(1.06)^n-1
Part C: How much will your salary be at the start of your 5th year?
- $37,192.57
- $42,564.25
- $46,945.21
- $223,110.00
Answers
Answer:
a). Geometric sequence
b).
c). $46945.21 will be the salary at the start of 5th year.
Step-by-step explanation:
My salary for the first year is $37185.
If I get an increase of 6% every year then the next year salary will be,
= $39416.1
Similarly in the second year my salary will be
= $41781.07
So the sequence becomes $37185, $39416.1 $41781.07.....
And there is a common ratio in each successive term 'r' = 1.06
a). Therefore, it's a geometric sequence.
b). Explicit formula for this sequence will be in the form of
Where t = duration in years
c). Salary at the start of 5th year,
= $46945.21
Step-by-step explanation:
(25 pts!!! help needed asap) x2y3z Write the expression in exponential form. A) x2yz4 B) x6y7z4 C) x 1 2 y 3 4 z D) x 1 2 y 3 4 z 1 4
Answers
Answer:
D
Step-by-step explanation:
Given expression :
[tex]\sqrt[4]{x^{2}y^{3}z }[/tex]Solving :
A number with the 4th root is the same as a number raised to the power 1/4[tex](x^{2})^{1/4}(y^{3})^{1/4}(z)^{1/4}[/tex][tex]x^{\frac{1}{2}} y^{\frac{3}{4}}z^{\frac{1}{4} }[/tex] [Option D]Answer:
D [tex]\sf x^{\frac12} y^{\frac34} z^{\frac14}[/tex]
Step-by-step explanation:
[tex]\sqrt[4]{\sf x^2y^3z}=\sqrt[4]{\sf x^2y^3z^1}[/tex]
Apply the Radical Product Rule [tex]\sqrt{\sf ab} =\sqrt{\sf a}\sqrt{\sf b}[/tex] :
[tex]\implies \sqrt[4]{\sf x^2}\sqrt[4]{\sf y^3}\sqrt[4]{\sf z}[/tex]
Apply fractional exponent rule [tex]\sqrt[n]{\sf a^m} = \sf a^{\frac{m}{n}}[/tex] :
[tex]\sf \implies x^{\frac24} y^{\frac34} z^{\frac14}[/tex]
Simplify:
[tex]\sf \implies x^{\frac12} y^{\frac34} z^{\frac14}[/tex]
Find the area of the shaded region.
Answers
Answer:
40.5 square meters
Step-by-step explanation:
the first thing you should do is find the area of the entire square
that is 9 * 9 which is 81
then you have to find the area of the triangle 9 * 9 * 1/2 which is 40.5
81 - 40.5 is 40.5 so the shaded region is 40.5
what are three expressions that are equivalent to 15+45
Answers
Answer:
40+20, 50+10, 46+14
Step-by-step explanation:
15+45=60 = 50+10=60 46+14=60
The runner completed 26.2 miles in 4 hours. How far did he run in 1 hour?
Answers
Answer:
6.55 miles
Step-by-step explanation:
26.2 miles in 4 hours means 6.55 each hour adds up to the total.
Do ---> 26.2 divided by 4 to get hourly miles = 6.55
OMG I'M HAVING A BRAIN FART AND CAN"T SOLVE THIS FOR THE LIFE OF ME. HELPPPP!
Answers
Answer:
Step-by-step explanation:
Because a square has 4 equal sides:
P = 4x
A = [tex]x^{2}[/tex]
Step 1. Substitute 4x into perimeter equation
[tex]P=\frac{4x^2+4}{x^2-2x+1}[/tex] (original P equation)
[tex]4x=\frac{4x^2+4}{x^2-2x+1}[/tex] (substitute P = 4x)
Step 2. Solve for x[tex]4x(x^2-2x+1)={4x^2+4}[/tex] (multiply denominator on both sides)
[tex]4x^3-8x^2+4x={4x^2+4}[/tex] (distribute 4x)
[tex]4x^3-12x^2+4x-4=0[/tex] (combine like terms, set = to 0)
[tex]4(x^3-3x^2+x-1)=0[/tex] (factor)
Continue using quadratic formula to find x
Step 3. Plug x into area equation, [tex]x^{2}[/tex]Hope this helps! Cannot finish answer right now, so sorry
side=Perimeter/4
side:-
[tex]\\ \rm\Rrightarrow \dfrac{4(x^2+1)}{4(x^2-2x+19}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{x^2+1}{x^2-2x+19)}✓/tex]
Area=side ²
[tex]\\ \rm\Rrightarrow \left(\dfrac{x^2+1}{x^2-2x+19}\right)^2[/tex]
Ms. Sanchez's students were asked how many hours they spend participating in organized sports each week. Each row of the table represents one sample from the class. 5 Number of Hours Playing Sports 5 3 0 2 5 2. 6 2 3 4 3. 0 1 0 3 6. What is the mean of the sample in the third row? 0 2.2 2.8 O 3.0 0 3.4
Answers
Answer:
1.62857142857
Step-by-step explanation:
Im sure you can round to 1.6 or 1.62.
Suppose that 16 inches of wire costs 48 cents.
At the same rate, how much (in cents) will 47 inches of wire cost?
Answers
the rectangle shown has a perimeter of 56 cm and the given area. it's length is 8 more than three times it's width. write and solve a system of equations to find the dimensions of the rectangle.
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
Assume width of rectangle be " x ", length = 3×width + 8 = 3x + 8 ~
Now, Perimeter of rectangle is :
[tex]\qquad \sf \dashrightarrow \:2(l + w) = 56[/tex]
[tex]\qquad \sf \dashrightarrow \:2(3x + 8 + x) = 56[/tex]
[tex]\qquad \sf \dashrightarrow \:2(4x + 8) = 56[/tex]
[tex]\qquad \sf \dashrightarrow \:4x + 8 = 56 \div 2[/tex]
[tex]\qquad \sf \dashrightarrow \:4x + 8 = 28[/tex]
[tex]\qquad \sf \dashrightarrow \:4x = 28 - 8[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 20\div 4[/tex]
[tex]\qquad \sf \dashrightarrow \:x =5 \: cm[/tex]
Hence, width = x = 5 cm
[tex]\qquad \sf \dashrightarrow \:l = 3w + 8[/tex]
[tex]\qquad \sf \dashrightarrow \:l = 3(5)+ 8[/tex]
[tex]\qquad \sf \dashrightarrow \:l = 15+ 8[/tex]
[tex]\qquad \sf \dashrightarrow \:l =23 \:cm[/tex]
And, length = 26 cm
2 1/8 - 1 1/4 can someon e help????
Answers
Answer:7/8
Mixed number just do it
The surface of a rectangular table has a perimeter of 12 feet and an area of 8 square feet.
What are the dimensions of the table?
feet by
feet
no
Submit
1-2
17.4.3
291
Answers
Answer:
17.4.3
Step-by-step explanation:
17.4.3
The triangles shown below must be congruent
True or false
Answers
Answer:
true is the correct answer
Step-by-step explanation:
hope it's help you
please mark me as brainlist answer
The 40 and 50 degree angles are?
Answers
Answer:
40 degrees is acute, 50 is also acute and they both make up a right angle (90 degrees)
Step-by-step explanation:
HELP PLEASE IM STRUGGLING
Answers
Step-by-step explanation:
Both are very correct,
[tex]5 { }^{ - 2} = \frac{1}{25} \: or \: \frac{1}{5 {}^{2} } [/tex]
because any number raised to the power of a negative
is given as
[tex]a {}^{ - x} = \frac{1}{a {}^{x} } [/tex]
if this helped pls give brainliest
Is the following number rational or irrational?
200
Choose 1 answer:
A
Rational
В B
Irrational
Answers
Answer:
A Rational
Step-by-step explanation:
Because 200 can be represented as 200/1, it shows that it can be made into a fraction unlike irrational numbers.
the surface area?
A - 216
B - 336
C - 438
Answers
Answer:
B
Step-by-step explanation: