Answers
Answer:
Step-by-step explanation:
7) Volume of the shape = Volume of triangular prism - volume of cylinder
Triangular prism:
[tex]\boxed{ \text{Volume of triangular prism = base area * h }}[/tex]
b = 6 ft & height of the triangle = 5 ft
[tex]\sf Base \ area = \dfrac{1}{2}* 6* 5[/tex]
= 3*5
= 15 ft²
Volume of prism = 15 * 4
= 60 ft³
Cylinder:
r = 2÷2 = 1 ft & h = 4 ft
Volume of cylinder = 3.14 * 1 * 1 * 4
= 12.56 ft³
Volume of the shape = 60 - 12.56
= 47.44 ft³
8) Volume = Volume of Pyramid - Volume of cone
[tex]\boxed{\text{Volume of the Pyramid = base area * h} }[/tex]
[tex]\text {base area = length * width}\\\\\\[/tex]
= 9 * 9
= 81 m²
Volume of Pyramid = 81 * 8
= 648 m³
[tex]\boxed{ \text{Volume of cone = \dfrac{1}{3} \pi r^{2}h}}[/tex][tex]\boxed{ \text{Volume of cone = $\dfrac{1}{3} \pi r^{2}h$}}[/tex]
r = diameter ÷ 2 = 6÷2
r = 3 m & h = 8 m
[tex]\text{ Volume of cone =$\dfrac{1}{3}*3.14* 3*3*8$}[/tex]
= 3.14 * 3 * 8
= 75.36 m³
Volume of the shape = 648 - 75.36
= 572.64 m³
9) Volume of the shape = volume of cylinder + volume of cone
Cylinder:
h = 7 in ; r = 3
[tex]\boxed{\text{Volume of cylinder =$ \pi r^{2}h$}}[/tex]
[tex]=\dfrac{22}{7}*3*3*7[/tex]
= 22 *3 * 3
= 198 in³
Cone:
r = 3 in & h = 4 in
[tex]\text{Volume of cone = $ \dfrac{1}{3}*3.14*3*3*4$}[/tex]
= 3.14 * 3 * 4
= 37.68 in³
Volume of the shape = 198 + 37.68
= 235.68 in³
10) Volume of the shape = Volume of outer cyliner - volume of inner cylinder
Volume of outer cylinder:
R = 9 m & h = 3 m
Volume of outer cylinder = 3.14 * 9 * 9 * 3
= 763.02 m³
Volume of inner cylinder:
r = 5 m & h = 3 m
Volume of inner cylinder = 3.14 * 5 * 5 * 3
= 235.5 m³
Volume of the shape = 763.02 - 235.5
= 527.52 m³
Related Questions
If QR=x+29 and PS=x–16, what is the value of x?
Answers
Answer:
61
Step-by-step explanation:
PS is a midsegment of the triangle, so is half the length of the parallel base segment.
2PS = QR
2(x -16) = x +29 . . . . . substitute given expressions
2x -32 = x +29 . . . . . eliminate parentheses
x = 61 . . . . . . . . . . . . add 32-x
Given the equation 47=38+n, tell which value is a solution from the solution set n={7, 9, 11, 13}
Answers
First, let's solve this equation by subtract 38 from both sides:-
[tex]\bigstar[/tex] 47-38=n
hence, the answer is:-
9=n
or
[tex]\bigstar{\underline{\boxed{\pmb{n=9}}}[/tex]
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)
A scale says that it's readings are accurate to within 1%, meaning that when an object
is weighed using that scale, the reading will have an error of at most 1%.
Gillian puts a math textbook on a scale, and the scale reads 1,999.8 grams. What is
the difference between the maximum and minimum possible values for the textbook's
actual weight?
Answers
Answer:
Step-by-step explanation:
well, 1% of 1999.8=19.998, so it would be + - 1,999.99
Solve for e:2e-13+8=135
Answers
Answer:
e = 70
Step-by-step explanation:
2e - 13 + 8 = 135
2e - 5 = 135
2e = 135 + 5
2e = 140
divide both sides by 2
e = 70
Pls help!!
Question:
The polynomial f (x) = ax2 + bx + c has zeros 4 and 5, and f (−1) = 60. Evaluate a, b and c.
Answers
a = 2, b = -18, c = 40
Step-by-step explanation:[tex]Given:\ Polynomial\ f(x)=ax^2+bx+c\ has\ zoroes\ 4\ aud\ 5[/tex]
[tex]and\ f(-1)=60[/tex]
[tex]Tofind:\ a,\ b,\ c[/tex]
[tex]Solution:\ As\ 4\ and\ 5\ are\ zeroes\ so\ f(4)=f(5)=0[/tex]
[tex]f(4)=a(4)^2+b(4)+c=0\Rightarrow16a+4b+c=0-(1)[/tex]
[tex]f(5)=a(5)^2+b(5)+c=0\Rightarrow25a+5b+c=0[/tex]
[tex]f(-1)=a(-1)^2+b(-1)+c=60\Rightarrowa-b+c=60-(3)[/tex]
[tex]subtracting\ (1)\ from\ (2)[/tex]
[tex]25a+5b+c-(16a+4b+c)=0\Rightarrow9a+b=0\Rightarrowb=-9a[/tex]
[tex]subtracting\ (3)\ from(2):[/tex]
[tex]25a+5b+c-(a-b+c)=0-60\Rightarrow24a+6b=-60[/tex]
[tex]putting\ b=-9a[/tex]
[tex]24a+6(-9a)=-60\Rightarrow24a-54a=-60\Rightarrow-30a=-60[/tex]
[tex]a=\frac{-60}{-30}=2[/tex] [tex]\Rightarrow[/tex] [tex]a=2[/tex]
[tex]b=-9a=-9\times2=-18[/tex]
[tex]c=-a+b\neq60=-2-18+60=-20+60=40[/tex]
I hope this helps you
:)
Which is the pattern for factoring the sum of cubes
Answers
Answer:
a³ +b³ = (a +b)(a² -ab +b²)
Step-by-step explanation:
The patterns for factoring the sum and difference of cubes are similar. The sign of the second term in each factor is reversed from one pattern to the other.
a³ -b³ = (a -b)(a² +ab +b²)
a³ +b³ = (a +b)(a² -ab +b²) . . . . . pattern for factoring sum of cubes
You woke up at 9:00 am 5 hours later still doing school work then you took a nap for 2 hours what time was it is when you woke up
Answers
Given f(x)=x^3+9x+k, and x-1 is a factor of f(x), then what is the value of k?
Answers
Answer:
r:
The function is
The remainder when f(x) is divided by x−2 is 23.
To find:The value of k.
Solution:
According to the remainder theorem, if a polynomial P(x) is divided by (x-c), then the remainder is P(c).
It is given that, the remainder when f(x) is divided by x−2 is 23. By using remainder theorem, we get
Put x=2, to find the value of f(2).Therefore, the value of k is 8.
Step-by-step explanation:
heheheheheheehehehehehehhee
Answers
Answer:
4 blocks
Step-by-step explanation:
15x + 50y = _____ (3x + 10y)
Answers
Answer:
15x + 50y = 5 (3x + 10y)
5 is a common factor
15/3x = 3x
50/5y = 10y
the answer is 5
[tex] \huge \mathbb \orange{HEY \: THERE}[/tex]
[tex] \mathfrak \red{AnSwEr~}[/tex]
5 is the common factor.[tex] \mathfrak \red{Explaination}[/tex]
[tex] \mathsf \pink{15x + 50y = 5(3x + 10y)}[/tex]
[tex] \mathsf \pink{5 \: is \: multiplied \: with \: both \: 3x \: and \: 10y}[/tex]
[tex] \huge \mathbb \orange{HOPE \: IT \: HELPS}[/tex]
What is the displacement current between the plates if the separation of the plates is r and they have an area of a?
Answers
A displacement current simply means the limited shift of electric components which occur when the voltage is applied to the capacitor.
What is displacement current?Your information is incomplete. Therefore, an overview of the displacement current will be given.
A displacement current simply defines the terms of the rate of change of the electric displacement field.
It's the current due to the changing of the electric field that is inside the plate of the capacitor.
Learn more about displacement on:
https://brainly.com/question/321442
7. (a) A line has the equation y = 6x – 3 and goes through the point (4, a).
Calculate the value of a.
Answers
[tex]a = 6(4) - 3 = 24 - 3 = 21[/tex]
Samir recorded the number of different types of pets his friends have in the table shown below:
Cats 2
Dogs 4
Rabbits 1
Guinea Pigs 4
Which of the following plots represents the data in the table?
Answers
Find the area of the trapezoid
Answers
Check the picture below.
[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h=height\\ a,b=\stackrel{parallel~sides}{bases}\\[-0.5em] \hrulefill\\ h=2\\ a=3\\ b=9 \end{cases}\implies A=\cfrac{2(3+9)}{2}\implies A=12[/tex]
bro no one is helping??
Answers
Answer:
A-6 , B-19 , C-55 , D-119 , E-70
Step-by-step explanation:
Subtract 68 from 138 to find out how many 8th graders in total, and that will get you blank E.
Subtract 64 from 70 (E) to find out blank A.
Add 6 and 13 get the total for TV, blank B.
To get blank C, you need to subtract 13 from 68.
For the last blank, blank D, you need to add 55 (blank C) and 64, which will give you 119.
2. Write a recursive formula for the sequence 5, 18, 31, 44, 57, ... Then find the next term.
Answers
Answer: a6=70
Step-by-step explanation:
we know that
In the Arithmetic Sequence the formula is:
an= a1 + d(n−1)
where
a1 is the first term
d is the common difference
n is the number of terms
in this problem
a1=5
a2=18
a3=31
a4=44
a5=57
so
d=a2-a1 or a3-a2 or a4-a3 or a5-a4
d=57-44----> 13
find a6
a6= a1 + d(n−1)
n=6
d=13
a1=5
a6=5+13*(6-1)----> a6=5+13*5----> a6=70
Answer:
A1=5;an=an-1+13. The next term is 704x + y = 10
7x + 2y = 17
Answers
Answer:
x = 3, y = - 2
Step-by-step explanation:
By substitution method,
4x + y = 10 -------> equation 1.
7x + 2y = 17 -------> equation 2.
From equation 1,
y = 10 - 4x ------> equation 3.
Substitute equation 3 in 2,
7x + 2 ( 10 - 4x ) = 17
7x + 20 - 8x = 17
7x - 8x = 17 - 20
- x = - 3
x = 3
Substitute x = 3 in equation 1,
4 ( 3 ) + y = 10
12 + y = 10
y = 10 - 12
y = - 2
Hence,
x = 3
y = - 2
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:
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* .
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* / − +.
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✿————✦————✿————✦————✿
pa brainliest kung ayaw, edi wag** char
how do i use a model to tell whether the fractions are equivalent? numbers: 1/2 and 5/10 grade 4
Answers
Answer:
ok so 5/10ths is also 3/6ths or 2/4ths or 1/2
Step-by-step explanation:
What is the value of the y-intercept of the graph f(x)=138⋅1.9x?
Answers
Answer:
Step-by-step explanation:
The y-intercept is the point where the graph cuts the y axis - that is when x = 0.
f(x)=138⋅1.9x
ehen x = 0 f(x) = 0 so the y-intercept is at (0, 0).
Nine wolves, eight female and one male, are to be released into the wild three at a time. If the male wolf is to be in the first released group and order does not matter, in how many ways can the first group of three wolves be formed? 28 ways 36 ways 56 ways 84 ways.
Answers
The first group of three wolves can be formed in 28 ways.
We have been given that Nine wolves, eight female and one male, are to be released into the wild three at a time.
What is the meaning of combination?
A combination is a combination of n things taken k at a time without repetition.
We need to choose 1 male wolf out of 1 wolf male. So we can choose one wolf as
[tex]c(1,1)=\frac{1!}{1!(1-1)!} =\frac{1!}{1!}=1!=1[/tex]
We can choose 1 male wolf in only 1 way.
Since the female wolfs are identical that means order doesn't matter, so we will use combinations.
We can choose 2 female wolves out of 8 as
[tex]C(8,2)=\frac{8!}{2!(8-2)!} =\frac{8\times 7 \times 6!}{2\times 1\times 6!} =\frac{8\times 7}{2} =28[/tex]
Therefore, we can choose 2 female wolves out of 8 female wolves in 28 ways.
We have to find number of ways in which the first group of three wolves can be formed we will multiply the ways of choosing 1 male wolf and 2 female wolves.
Number of ways farming first group of three wolves
1(28)=28
Therefore, the first group of three wolves can be formed in 28 ways
To learn more about the combination visit:
https://brainly.com/question/25821700
Please help me with this math problem!! Will give brainliest!! NO links please!! Thanks! :) (Please draw a picture)
Answers
Answer:
0.64
Step-by-step explanation:
Given the sides of a triangle, we can solve for any angle using the Law of Cosines: [tex]a^2=b^2+c^2-2bc(cosA)[/tex]
Our variables:
a = 27
b = 36
c = 45
B = 90°
[tex]a^2=b^2+c^2-2bc(cosA)[/tex]
[tex](27)^2=(36)^2+(45)^2-2(36)(45)(cosA)[/tex]
[tex]720=1296+2025-3240(cosA)[/tex]
[tex]720-3321=-3240(cosA)[/tex]
[tex]-2601=-3240(cosA)[/tex]
[tex]\frac{2601}{3240} =cosA[/tex] ≈ [tex]0.80278[/tex]
[tex]cos^-(A)=cos^-(\frac{2601}{3240})[/tex]
[tex]< A = 0.63885708[/tex]
This might be wrong, but you get the method. I would repost for a better answer from someone else because I'm practically half asleep. Very sorry but I hope you get some help soon! Best of luck
9 markers cost $7. 50. How much would 7 markers cost
Answers
Answer:
5.83
Step-by-step explanation:
9 / 7.50 = 0.833(repeating)
8.33(repeating) * 7 = 5.833(repeating)
Simplify 5.833(repeating)
Answer:
5.83
Step-by-step explanation:
What is the measure of < L
Answers
Answer:
C.
Step-by-step explanation:
Because of the K And j = K and L.Those are equal of the length.
And also, I believed the angel of K is 130 degrees ...
I hope it can help you a lots...Thanks.
Answer:
C
Step-by-step explanation:
typical property of isoceles triangle
properties:
1.- Base angles are equal
2. has two sides equal
☆the two above are key to identifying an isoceles triangle
the one above satisfies no.2
brainliest please
The picture shows 3/8 of Puja's penny collection.
*nine pennies*
A. What fraction of her collection is 6 pennies?
B. What fraction of her collection is 21 pennies?
Answers
The fraction of her collection that is 21pennies is 56
Ratio and proportionsGiven the fraction for Puja's collection expressed as 3/8
Leet x be the fraction of her collection which is 6 pennies, to have;
x of 3/8 = 6
3x/8 = 6
3x = 48
x = 16
Hence the fraction of her collection that is 6pennies is 16
Let y be the fraction of her collection which is 21 pennies, to have;
x of 3/8 = 21
3x/8 = 21
x = 56
Hence the fraction of her collection that is 21pennies is 56
Learn more on ratio and proportions here: https://brainly.com/question/19994681
is 56/72 and 7/9 proportional
Answers
Answer:
Yes. They are proportional.
Step-by-step explanation:
[tex]\frac{56}{72} =\frac{7}{9}[/tex]
[tex]0.777=0.777[/tex]
The left side 0.777 is equal to the right side 0.777, which means that the given statement is always true.
True
Hi! Please help. (Geometry Btw)
Answers
Answer:
It is C
Step-by-step explanation:
Reflection in X axis
Reflecting over the x axis, the x values remain the same and the y values become opposite.
answer: c. (X,y) becomes (x,-y)
10. Jacinto Corado rented a minivan for 4 days in Tampa, Florida, for
$88.00 a day plus $0.20 a mile for all miles over 200. He drove 75, 120,
85, and 140 miles on the days rented. He paid a CDW fee of $18.50 per
day and $61.83 for gasoline.
Answers
Answer:
$531.83
Step-by-step explanation:
88*4=352
75+120+85+140=420. Take away the 200 he was allowed. Leaves 220
220*.20 =44
18.50*4=74
gas is set at 61.83
Sum each of those.
352+44+74+61.83= $531.83
Please help me with complement or supplement of an angles.
Answers
Answer: 101 degrees
Step-by-step explanation:
What is the following product?
30. 10
2.110
3.10
4./10
10/5
Answers
Step-by-step explanation:
300220302/5=0.42Hope it helps you
32 The area of a parallelogram is (32 + sqrt(2)) square feetIf the length of the base is (4 + sqrt(2)) feet, find the height of the parallelogram in simplest radical form
Answers
The height of the parallelogram that has an area of (32 + √2) ft² and base of (4+√2) ft is 9(7 + 2√2) / 7 ft
How to calculate area of a parallelogram?area of parallelogram = bh
where
b = baseh = heightTherefore,
area = (32 + √2) ft²
base = (4+√2) ft
Therefore,
area of a parallelogram = bh
(32 + √2) = (4+√2)h
divide both sides by (4+√2)
h = (32 + √2) / (4+√2)
h = (32 + √2) / (4+√2) × (4-√2) / (4-√2)
h = (32 + √2) (4-√2) / 16 - 4√2 + 4√2 - 2
h = 128 + 32√2 + 4√2 - 2 / 14
h = 126 + 36√2 / 14 ft
h = 18(7 + 2√2) / 14 ft
h = 9(7 + 2√2) / 7 ft
learn more on parallelogram here: https://brainly.com/question/8377736