Answers
Answer:
716in³
Step-by-step explanation:
The first step is to split the full prism into two, separate prisms. That means, we now have to find the volume of the half-a-cylinder, and the other base prism.
For the volume of the half-cylinder, we use the formula πr²h. That means, we do π·5·5·6, which is equal to around 471.24 cubic inches. However, we need to find the volume of half that cylinder, so we divide that answer by two. That should be about 235.62 cubic inches.
For the volume of the other prism, we simply have to do length times height times width, or 6·8·10. That is equal to 480 cubic inches, which is the volume of that prism.
To find the volume of the whole composite figure, you simple have to add the two underlined volumes above.
235.62+480= 715.62in³, or about 716in³.
Hope this helps.
Related Questions
1) A 30-ft. ladder leans against a wall so that the base of the ladder
is 10 ft. from the base of the wall. What angle does the ladder
make with the ground?
A) 70.5
B) 19.5
C) 18.4
D) 33.3
Answers
Answer:
A) 70.5
Step-by-step explanation:
cos x = adjacent side/ hypotenuse
cos x = 10/ 30
cos x = 0.3
cos 70 = 0.3420
cos 71 = 0.3256
x = 70.5
Find the LCM of 2, 10, and 6
Answers
Answer:
30
Step-by-step explanation:
Answer:
LCM(2,6,10)
Least Common Multiple is :
30
Calculate Least Common Multiple for :
2, 6 and 10
Factorize of the above numbers :
2 = 2
6 = 2 • 3
10 = 2 • 5
Build a prime factors table
Number of times each prime factor
appears in the factorization of :
Prime
Factor Number
2 Number
6 Number
10 L.C.M
(max)
2 1 1 1 1
3 0 1 0 1
5 0 0 1 1
LCM = 2 • 3 • 5
Least Common Multiple is :
30
Estimate 874,238 – 228,759 using front-end estimation
Answers
Answer:
645, 500
Step-by-step explanation:
The graph of the function f(x) is shown
Which graph represents the function 4(2x)?
Answers
Answer:
[tex]8x[/tex]
Step-by-step explanation:
[tex]4 \: time \: 2x = 8x[/tex]
Point L was plotted at (-4, 1), then L was transformed creating point L’ at (-1, -4).Which transformation rule could have been used to plot L’?
Reflection across the x-axis
a 180 degree rotation about the origin
A 270 degree rotation counterclockwise rotations about the origin
A translation using the rule (x,y) -->(x+3, y -5)
Answers
Answer:
you would go down 2 from the point
Step-by-step explanation:
Simplify (write without the absolute value sign):
|x÷3|, if x=0
Answers
Answer:
0
Step-by-step explanation:
zero divided by anything that is integral is zero and 3 in a integer
0
A 10-foot ladder is to be placed Against the side of the building. The base of the latter must be placed in an angle of 72° With the level ground for a secure footing. Find, to the nearest inch, how far the base of the latter should be from the side of the building and how far up the side of the building the latter will reach.
Answers
Answer:
Distance of foot of ladder from building: 37.2 inches
Distance of top of ladder from building's base: 114 inches
Step-by-step explanation:
Please refer to the figure attached in the answer area.
A right angled triangle [tex]\triangle ABC[/tex] is formed by the ladder with the building where hypotenuse is the length of ladder.
Hypotenuse, AC = 10 foot
Also, we are given that angle made by the base of ladder with the ground is [tex]72^\circ[/tex].
We have to find AB and BC.
[tex]\angle BAC = 72^\circ[/tex]
Using trigonometric functions:
[tex]cos \theta= \dfrac{Base}{Hypotenuse}\\cos 72^\circ= \dfrac{AB}{AC}\\\Rightarrow 0.309 = \dfrac{AB}{AC}\\\Rightarrow AB = 10 \times 0.309\\$\approx$ 3.1 foot\\$\approx$ 37.2 inches[/tex]
[tex]sin \theta = \dfrac{Perpendicular}{Hypotenuse}\\\Rightarrow sin72^\circ = \dfrac{BC}{AC}\\\Rightarrow 0.95 = \dfrac{BC}{AC}\\\Rightarrow AB = 10 \times 0.95\\$\approx$ 9.5 foot\\$\approx$ 114 inches[/tex]
Distance of foot of ladder from building: 37.2 inches
Distance of top of ladder from building's base: 114 inches
WILL MARK BRAINLIEST! If you buy 3 pounds of hamburg for $8.97, how much will it cost for 5 pounds of hamburg?
Answers
Answer:
14.95
Step-by-step explanation:
every 1 pound is 2.99 so you would do 2.99 * 5
Answer:
$14.95
Step-by-step explanation:
To find the slope or the cost per pound of hamburger you divide 8.97 by 5 in order to find out it costs 2.99 per hamburger. You then, multiply 2.99 by 5 to gather that to buy 5 pounds of hamburger it would cost $14.95.
Uma camiseta nº 42 custa R$ 1.200,00 e uma camiseta do mesmo tipo nº46 custa R$ 1.800,00. Comprando-se 4 camisetas nº 42 e 6 camisetas nº 46, qual o preço médio de cada camiseta
Answers
Step-by-step explanation:
fffggy nu fjxjxjxjcjcjdj
please Answer:
lol
Step-by-step explanation:
acute scalene Triangle
right scalene triangle
acute isoceles triangle
right equilateral triangle
Answers
Answer: I hope this helps
Right scalene triangle
Step-by-step explanation:
The triangle that I made with 4cm, 7cm, and 8 cm. had a right angle and also has all unequal sides which is basically the exact definition of a right scalene triangle.
Please mark brainliest if you are satisfied with this answer :)
Find the distance between the points (3,−5) and , (−7,−5).
Answers
Answer:
the awnser is 10
What is the sum of these expressions: (-3.5t - 4s + 4.5) + (-7.1 - 0.3s + 4.1t)
Answers
Answer:
0.6t - 4.3s - 2.6.
Step-by-step explanation:
PEMDAS
Answer:
-4.3s+0.6t-2.6
Step-by-step explanation:
Add like terms:
-3.5t+4.1t-4s-0.3s+4.5-7.1
= 0.6t-4.3s-2.6
= -4.3s+0.6t-2.6
Use the ratio test to determine whether the series is convergent or divergent.2 +4/2^2 + 8/3^2 + 16/4^2 +
Answers
Answer:
The result is 2 > 1. Hence, the series diverges
Step-by-step explanation:
You have the following series:
[tex]2+\frac{4}{2^2}+\frac{8}{3^2}+\frac{16}{4^2}+...+\frac{2^n}{n^2}=\sum_{i=1}^{i=n}a_n[/tex] (1)
You use the ratio test to determine if the series is convergent or divergent. The ratios test is given by:
[tex]\lim_{n \to \infty} \frac{a_{n+1}}{a_n}[/tex] (2)
Then, you replace the series (1) in (2):
[tex]\lim_{n \to \infty} \frac{\frac{2^{n+1}}{(n+1)^2}}{\frac{2^n}{n^2}}= \lim_{n \to \infty} \frac{(2^n2)(n^2)}{2^n(n+1)^2}\\\\\lim_{n \to \infty} \frac{2n^2}{n^2+2n+1}= \lim_{n \to \infty} \frac{2n^2}{n^2[1+\frac{2}{n}+\frac{1}{n^2}]} \\\\\lim_{n \to \infty} \frac{2}{1+\frac{2}{n}+\frac{1}{n^2}}=\frac{2}{1+0+0}=2[/tex]
In the ratio test you have that if the limit is greater than 1, the series diverges.
The result is 2 > 1. Hence, the series diverges.
What is the solution of the inequality shown
below?
y-1 > 0
Answers
Answer:
y>1
Step-by-step explanation:
y-1 > 0
Add 1 to each side
y-1 +1> 0+1
y>1
Find u · v.
u = 6i − 5j
v = i − j
Answers
Answer:
i am not intelligent boy I am slow in math
Step-by-step explanation:
ok please let me know
A survey will ask people if they want
more stop signs near a school. Which
group would be probably be biased
against this idea?
A students
B teachers
C driver
Answers
Answer:
I believe the answer is C. Driver.
Step-by-step explanation:
The driver is the person who has to pass by the school everyday. This means they would have to take out extra time because of the stop signs, so they would be against this.
Data was collected for the number of births per 10,000 people in the United States of America for 20 consecutive years. Below is the data for those 20 consecutive years. Construct a p chart and answer the question below.
157 160 164 167 167 162 158 154 150 146 144 142 143 142 144 141 139 141 140 140
Select the correct lower control limit.
Answers
Answer:
Option A is correct.
Step-by-step explanation:
Unit 6: Statistical Process Control POSTTEST Answers (STANDARD NOT HONORS STATISTICS)
1. p bar = 0.0061
2. x bar = 6.992
3. UCL = 0.019
4. Process mean is not within statistical control. There are points above and below the control limits. There is an upward trend.
5. UCL = 58.90; LCL = 40.24
6. Process appears to be out of statistical control. There is a point that lies above the upper control limit.
7. Process mean is not within statistical control. One of the points lies above the upper control limit.
8. UCL = 0.133
9. Process is out of statistical control. There is a downward trend.
10. Process mean is not within statistical control. There are points above and below the control limits. There is a cyclical pattern.
PEARSON CONNEXUS STUDENTS: 100% correct if you put these answers.
PLEASE HELP ME, I WILL GIVE U BRAINLIEST,
Answers
Answer:
around 9.8
Step-by-step explanation:
This is a right triangle, so to find x, you can use pythagorem theorem:
So...
23^2+x^2=25^2
529+x^2=625
x^2=96
x is around 9.8
Answer:
9.79 or 9.9
Step-by-step explanation:
Its around 9, estimation...
What is the domain of the following parabola? (5 points)
3
-2
-1/
x
1
xs1
All real numbers
ys2
Answers
Answer:
Step-by-step explanation:
The domain of this quadratic is "all real numbers." The function is defined for all x.
Please help me will give brainliest
Answers
Answer:
Mean = [26 + 31 + 39 + 32]/4 = 32
MAD = (1/4) x [|26 - 32| + |31 - 32| + |32 - 32| + |39 - 32|] = (1/4) x 14 = 3.5
Hope this helps!
:)
Answer:
3.5 putts
Step-by-step explanation:
Mean: 26 + 31 + 32 + 39 = 128/4 = 32
32 - 26 = 6
32 - 31 = 1
32 - 32 = 0
32 - 39 = 7
Mean Absolute Deviation (MAD): 6 + 1 + 0 + 7 = 14/4 = 3.5
~ hope this helps you, have a good day ~
An account pays 6% coumpound interest in a year 1, the amount in tha account is $70 . How much is in the account in year 5?
Answers
Answer:
The amount in account in year 5th should be:
A = 70 x (1 + 6/100)^5 = 93.68$
Hope this helps!
:)
Find the area of a face of a rectangular prism.
What is the area of the front of the prism?
Area =
cm2
Answers
Answer:
It is L*W*H.
Width times Height
Step-by-step explanation:
I don't know what you are exactly talking about, there are no attached worksheet. But if you are talking about the formula for the rectangular prism.
Formula for rectangle prism: L*W*H
Area of the front of the prism: Width times height
Answer:
12cm2
Step-by-step explanation:
edge 2020 correct on assignment
Write the phrase as a unit rate.
$13.50 for 3.6 lb
Alb
Please help FAST
Answers
Answer:
$3.75/lb
Step-by-step explanation:
First, let's set up a proportion. The top number represents the cost, while the bottom number represents how many pounds. In order to get a unit rate, we need to figure out how much it costs for 1 pound.
[tex]\frac{13.5}{3.6} =\frac{x}{1}[/tex]
Now, cross multiply. To cross multiply, you would multiply 13.5 by 1 and 3.6 by x.
[tex]13.5 * 1 =13.5\\3.6*x=3.6x[/tex]
Set these two equal to each other.
[tex]13.5=3.6x[/tex]
Divide both sides by 3.6 to get x.
[tex]\frac{13.5}{3.6} =\frac{3.6x}{3.6}\\x=3.75[/tex]
For unit rates, you have to write your answer as per unit. To do that, put a slash next to your answer, and then your unit.
$3.75 / lb (unit)
Complete the equation of the line whose slope is -2 and y-intercept is (0,-8)
y=
Answers
Answer:
y = -2x - 8
Step-by-step explanation:
We want to find the slope-intercept form of this equation. Slope-intercept form is denoted by: y = mx + b, where m is the slope and b is the y-intercept.
We already know that the slope is -2, so that means m = -2.
We also know the y-intercept (or the point where the line crosses the y-axis) is (0, -8), which means b = -8.
Thus, our equation is: y = -2x - 8.
~ an aesthetics lover
y=-2x-8 this should be right i had this same problem before :)
hello!? what's 3 + 3
Answers
Answer:
6
Step-by-step explanation
Answer:
6
Step-by-step explanation:
if you have 3 apples and 3 banannas in all you have 6 fruits in total :)
3 bugs+ 3 ladybugs= 6 bugs
Hope this helps lol :)
Mindi planted beans in 4/10 of her garden and peas in 5/10 of her garden. What fraction of the garden has beans or peas?
Answers
How many 9’s are there between 1 and a 100?
Answers
Answer:
11
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
You've got 9
19
29
39
49
59
69
79
89
And then all of the numbers in the 90s
90, 91, 92, 93, 94, 95, 96, 97, 98, 99
99 counts as two
What is the area C in terms of
Answers
Hope this help
PLEASE HELP!!!! attached photo
Answers
Answer:
(-1, -2.5)
Step-by-step explanation:
The midpoint formula is just basicallyadding both of the x values and then dividing the sum of them by 2, after that you will be adding both y values and then dividing them by 2, then you will get the midpoint x and y coordinate values. You can look up midpoint formula on google to see how it's actually written. You have to make sure to add correctly when you are using the negative numbers, because they can actually turn the equations into subtraction. Keep in mind, it can beconfusing sometimes when you are working with positive and negative numbers together. So make sure to just double check your work and also to make sure you added correctly.
Brainliest please, I need a few more :D
5(7 + 3x) - 12 how to simplify
Answers
To solve this we need to use this formula:
a(b+c)=ab+ac
5(7+3x)-12=35+15x-12=15x+23
Answer:
Step-by-step explanation:
Multiply the 5 to the 7 and 3x--> 35 + 15x -12. Then add 12 to the -12, making it 0 (inverse operations), and add 12 to the 35 making it 47 + 15x. :) Then you would simply divide the 15 by 15x (making the variable by itself). your answer for x should be 47/15. :> If I helped, please mark brainliest!!
