Answers
Answer:
Given:
perpendicular [p]=9cm
base[b]=15cm
length[l]=4cm
we have
the volume of this triangular prism=area of traingle. ×length=1/2 p×b×l
=½×9×15×4=270cm³
270cm³ is a required volume.
Answer:
[tex]\displaystyle V _{ \text{prism}} = 270 {cm}^{3} [/tex]
Step-by-step explanation:
we are given a triangular prism
we want to figure out the Volume of the given Prism
remember that,
[tex] \rm\displaystyle V _{ \text{prism}} = [\text{base area}] \times l[/tex]
since the base is triangle the formula of base area should be the formula of the area of a triangle
thus,
[tex] \rm\displaystyle V _{ \text{prism}} = [\frac{1}{2}\times b\times h] \times l[/tex]
substitute
[tex] \rm\displaystyle V _{ \text{prism}} = [\frac{1}{2}\times 9 \times 15]\times 4[/tex]
remove parentheses:
[tex] \displaystyle V _{ \text{prism}} = \frac{1}{2}\times 9\times 15\times 4[/tex]
reduce fraction:
[tex]\displaystyle V _{ \text{prism}} = 9\times 15\times 2[/tex]
simplify multiplication:
[tex]\displaystyle V _{ \text{prism}} = 270[/tex]
hence, the Volume of the given prism is 270cm³
Related Questions
What is the median of the following numbers: 9, 10, 4, 6, 3, 7, 8, 2, 5. 54 8 7 6
Answers
A car travelled at 50 km/hr for 3 hours How far did the car travel?
Answers
Answer:
25km
Step-by-step explanation:
50 km = x km
1 hr 3 hrs
From there, you cross-multiply and solve for x.
(50 km)*(3 hrs) = (x km)*(1 hr)
x km = (50)*(3)/(1) = 150km
Now, your other question can be answered the exact same way. 30 minutes is the same as 1/2 of an hour, so just put 0.5hrs in where the 3hrs was in the previous problem. So to show you how it works once more, here are your calculations:
50 km = x km
1 hr 0.5 hrs
(50 km)*(0.5 hrs) = (x km)*(1 hr)
x km = (50)*(0.5)/(1) = 25km
I hope that helps!
A game of chance has a spinner with five equal sized sections. The results of 625 spins are shown below.
For which color is the experimental probability closest to the theoretical probability? Use the drop down menus to explain your answer.
(Brown,Orange,Yellow,Green,Purple) The experimental probability is (22.72%, 18.88%, 21.92%, 19.52%) and the theoretical probability is (10%, 25%, 20%)
For which color is the difference between the theoretical probability and experimental probability greatest? Use the drop down menus to explain your answer.
Brown,Green,Yellow,Orange,Purple) The experimental probability is (16.96%, 22.72, 18.88%, 21.92%) and the theoretical probability is (25%, 10%, 20%).
Answers
Answer:
https://e-eduanswers.com/mathematics/question176807332
Step-by-step explanation:
What is the slope of the line that passes through (-2, 3) and (2, 11)
Answers
Answer:
2
Step-by-step explanation:
y2-y1/x2-x1
11-3/2-(-2)
8/4
2
Solve 5x Divide 6 = 20.
The solution is x =____?
Answers
Answer:
69
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
[tex]\frac{5x}{6} = 20\\5x = 120\\x = 24[/tex]
On a number line 8.29 would be located..... choose all answers that make the statement true
A)between 8 and 9
B) between 8.2 and 8.3
C) to the right of 8.39
D) between 8.28 and 8.30
Answers
Answer:
B and D
Step-by-step explanation:
D is being more detailed then A
Which situation is best represented by the equation y = 5x + 10?
Answers
Answer:
i will say its A
Step-by-step explanation:
please help!! i need 15 & 17!
Answers
Answer:
15. Answer: length = 15 ft; width = 3 ft
16. Answer: base = 14 cm; height = 5 cm
17. Answer: x² - 5x - 24 = 0
Step-by-step explanation:
15.
area of rectangle = length * width
length = x - 2
width = x - 14
area = (x - 2) (x - 14)
We are shown the area to be 45 ft².
We set the expression of the area equal to the given area and solve the quadratic equation for x.
(x - 2)(x - 14) = 45
x² - 14x - 2x + 28 - 45 = 0
x² - 16x - 17 = 0
(x - 17)(x + 1) = 0
x - 17 = 0 or x + 1 = 0
x = 17 or x = -1
We discard the negative answer, x = -1, since it would give negative length and width.
x = 17
length = x - 2 = 17 - 2 = 15
width = x - 14 = 17 - 14 = 3
Answer: length = 15 ft; width = 3 ft
16.
area = ½bh
area = ½(x - 5)(x - 14)
area = 35
½(x - 5)(x - 14) = 35
(x - 5)(x - 14) = 70
x² - 14x - 5x + 70 = 70
x² - 19x = 0
x(x - 19) = 0
x = 0 or x - 19 = 0
We discard x = 0 since it would give negative dimensions.
x = 19
base = x - 5 = 19 - 5 = 14
height = x - 14 = 19 - 14 = 5
base = 14
height = 5
Answer: base = 14 cm; height = 5 cm
17.
A polynomial with solutions x = a and x = b can be found by multiplying (x - a) by (x - b). Here, the solutions are x = -3 and x = 8.
[x - (-3)](x - 8) = (x + 3)(x - 8) = x² - 8x + 3x - 24 = x² - 5x - 24
Answer: x² - 5x - 24 = 0
How do you write 4.789x10^7 in standard form?
Answers
Answer: 47890000
Step-by-step explanation:
4.789*10^7=4789*10^4=4789000
Answer:
47,890,000
Step-by-step explanation:
AreA of a circle pls help
Answers
Answer:
28.26[tex]in^{2}[/tex]
Step-by-step explanation:
Given,
Radius of the circle = 3in.
Area = ?
They have told us to use 3.14 for [tex]\pi[/tex]
Area formula = [tex]\pi r^{2}[/tex]
=> 3.14 * 3 * 3
=> 3.14 * 9
=> 28.26[tex]in^{2}[/tex]
Therefore the area of the circle is 28.26[tex]in^{2}[/tex]
Hope it helps :)
Answer:
28.26
Step-by-step explanation:
You want to plug everything in to the equation that you can. It says that pi=3.14, and the radius (aka r) is equal to 3. Therefore when plugging everything in, the equation reads (3.14)(3)^. ^ means squared, its the tiny 2 above the r. when something is squared it means you multiply it by itself 2 times. therefore 3 squared = 3 x 3= 9. After finding out 3^=9, the equation reads (3.14)(9). Now all you have to do is multiply the 2 together which results in 28.26.
2x + 19 and x + 23 are alternate exterior angles. What is the value of x? *
Answers
A value of x of 4 guarantees that the angles 2 · x + 19 and x + 23 could be alternate exterior angles highlighted between two parallel lines.
How to solve a linear equation
If two angles are alternate exterior, then both angles have the same measure. Thus, we have the following expression:
2 · x + 19 = x + 23 (1)
Now we proceed to solve for x:
x = 4
A value of x of 4 guarantees that the angles 2 · x + 19 and x + 23 could be alternate exterior angles highlighted between two parallel lines.
To learn more on linear equations: https://brainly.com/question/14695009
#SPJ1
Find the volume of the cylinder in terms of pi. The diagrams are not drawn to scale.
Height is 11m and radius is 1.9m
A. 75.449pi m3
B. 49.02pi m3
C. 41.8pi m3
D. 39.71pi m3
Answers
Answer:
D
Step-by-step explanation:
givens
r = 1.9 m
h = 11 m
Equation
V = pi * r^2 * h
Solution
V = pi * 1.9^2 * 11
V = pi * 3.61 * 11
V = pi * 39.71
V = 39.71 pi
How do you divide fractions?
Answers
Answer:
I'm about to share an image with you that explains how to divide fractions!!
Answer:
KCF (Keep Change Flip) 3/4 divided by 2/3. Keep 3/4 change the division sign to mulitplication and flip the 2 and the 3 to an improper fraction of 3/2 and then solve. Just remember KCF and you'll be good. I used to be trash at fractions and now I'm very good thanks to KCF.
Step-by-step explanation:
whats the quadratic curve of best fit for the data. estimate what the value of will be when = −4.
(−3,2), (0,5), (1,7.3), (−1,3.3), (−6,5), (−7,7.3)
Answers
Answer:
64 is 4 times the difference between Sarah's age, a, and 44Assume Sarah is older than 44
Step-by-step explanation:
there is a lot of poins pleas help meee
Answers
Answer:
46mi
Step-by-step explanation:
Its right. Sorry need the points.
In a right triangle, angle θ has a cosine value of 0.755. The side adjacent to angle θ has a length of 51.5 mm. What is the length of the hypotenuse of the triangle?
68.2 mm
38.9 mm
92.5 mm
41.0 mm
Answers
Answer:
I got that it was 68.2mm.
Step-by-step explanation:
Option A is correct, the length of the hypotenuse of the triangle is 68.2 mm.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
In a right triangle, the cosine of an angle is defined as the ratio of the adjacent side to the hypotenuse. That is:
cos(θ) = adjacent/hypotenuse
We know that cos(θ) = 0.755 and the length of the adjacent side is 51.5 mm.
Let's denote the length of the hypotenuse by "h".
Then we can solve for "h" as follows:
cos(θ) = adjacent/hypotenuse
0.755 = 51.5/h
h = 51.5/0.755
h = 68.21 mm
Therefore, the length of the hypotenuse of the triangle is approximately 68.2 mm.
To learn more on trigonometry click:
https://brainly.com/question/25122835
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Please help im confused on the last question on my warm up!
Answers
Answer:
Choice B: Only (-1,-5)
Step-by-step explanation:
With this one, first the equation needs to be reduced into point-slope format.
y+5=2(x+1)
Distributive Prop.
y+5=2x+2
Carry over the 5 to the opposite side.
y=2x-3
Now, with the point slope form, it makes it easier to plug in the question choices to find which if any are correct.
Choice A: X is 5; Y is 10
y=2x-3
y=2(5)-3
y=10-3
y=7
This does not give a y value of 10, so it is false.
Choice B: X is -1; Y is -5
y=2(x)-3
y=2(-1)-3
y= -2-3
y= -5
This does give a y value of -5, so it is true. Choices C and D are therefore false as well, since only Choice B works.
The Cohens found 8 pairs of shorts with the following prices:
$10, $11, $11, $16, $16, $17, $18, $38
Which statements about the prices are true? Select all that apply.
A. The Median is $16
B. The range of the prices is $28.
C. The interquartile range is between $6 and $7
D. If the price that is the farthest from the mean is removed, The median will change.
E.If the price that is farthest from the mean is removed, the mean will become larger.
PLEASE EXPLAIN THIS ALSO, DO NOT PUT ANY LINKS EITHER, LINKS WILL BE REPORTED.
Answers
Answer:
A. B. and C.
(and hi again)
8. A car dealer buys a luxury car for $45,800, and sells it for $61,830. Find the percent of change.
A. 35%
B. 26%
C. -35%
D. -40%
Answers
Explanation cuz
I don’t understand what to do because this is worded very strangely. Could somebody help?
In a survey, 200 college students were asked whether they live on campus and if they own a car. Their responses are
summarized in the following table
Is there evidence that college students who don't own a car tend to not live on campus more than students who live on
campus?
A. Yes, because the percentage of students who don't own a car and don't live on campus is greater than the percentage of students who
don't own a car and live on campus.
B. Yes, because the percentage of students who don't own a car and don't live on campus is less than the percentage of students who
don't own a car and live on campus.
C. No, because the percentage of students who don't own a car and don't live on campus is less than the percentage of students who
don't own a car and live on campus.
D. No, because the percentage of students who don't own a car and don't live on campus is greater than the percentage of students who
don't own a car and live on campus.
Answers
If you look at the table, you’ll see that most people without a car live on campus, meaning the percentage of no-car-off-campus is less than the percentage of no-car-on-campus
The Slow Ball Challenge or The Fast Ball Challenge.
The Slow Ball Challenge: There will be 7 pitches, each at 60 mph. Diego estimates
that he will hit each individual pitch 80% of the time. If Diego can hit all 7 pitches, he
will win a total of $60; otherwise he will lose $10.
The Fast Ball Challenge: There will be 3 pitches, each at 90 mph. Diego estimates
that he will hit each individual pitch 70% of the time. If Diego can hit all 3 pitches, he
will win a total of $60; otherwise he will lose $10.
Which challenge should he choose?
Fast: 4.68
Slow: 4.68
Fast: 14.01
Slow: 14.01
G
Answers
Answer:
Fast ball challenge
Step-by-step explanation:
Given
Slow Ball Challenge
[tex]Pitches = 7[/tex]
[tex]P(Hit) = 80\%[/tex]
[tex]Win = \$60[/tex]
[tex]Lost = \$10[/tex]
Fast Ball Challenge
[tex]Pitches = 3[/tex]
[tex]P(Hit) = 70\%[/tex]
[tex]Win = \$60[/tex]
[tex]Lost = \$10[/tex]
Required
Which should he choose?
To do this, we simply calculate the expected earnings of both.
Considering the slow ball challenge
First, we calculate the binomial probability that he hits all 7 pitches
[tex]P(x) =^nC_x * p^x * (1 - p)^{n - x}[/tex]
Where
[tex]n = 7[/tex] --- pitches
[tex]x = 7[/tex] --- all hits
[tex]p = 80\% = 0.80[/tex] --- probability of hit
So, we have:
[tex]P(x) =^nC_x * p^x * (1 - p)^{n - x}[/tex]
[tex]P(7) =^7C_7 * 0.80^7 * (1 - 0.80)^{7 - 7}[/tex]
[tex]P(7) =1 * 0.80^7 * (1 - 0.80)^0[/tex]
[tex]P(7) =1 * 0.80^7 * 0.20^0[/tex]
Using a calculator:
[tex]P(7) =0.2097152[/tex] --- This is the probability that he wins
i.e.
[tex]P(Win) =0.2097152[/tex]
The probability that he lose is:
[tex]P(Lose) = 1 - P(Win)[/tex] ---- Complement rule
[tex]P(Lose) = 1 -0.2097152[/tex]
[tex]P(Lose) = 0.7902848[/tex]
The expected value is then calculated as:
[tex]Expected = P(Win) * Win + P(Lose) * Lose[/tex]
[tex]Expected = 0.2097152 * \$60 + 0.7902848 * \$10[/tex]
Using a calculator, we have:
[tex]Expected = \$20.48576[/tex]
Considering the fast ball challenge
First, we calculate the binomial probability that he hits all 3 pitches
[tex]P(x) =^nC_x * p^x * (1 - p)^{n - x}[/tex]
Where
[tex]n = 3[/tex] --- pitches
[tex]x = 3[/tex] --- all hits
[tex]p = 70\% = 0.70[/tex] --- probability of hit
So, we have:
[tex]P(3) =^3C_3 * 0.70^3 * (1 - 0.70)^{3 - 3}[/tex]
[tex]P(3) =1 * 0.70^3 * (1 - 0.70)^0[/tex]
[tex]P(3) =1 * 0.70^3 * 0.30^0[/tex]
Using a calculator:
[tex]P(3) =0.343[/tex] --- This is the probability that he wins
i.e.
[tex]P(Win) =0.343[/tex]
The probability that he lose is:
[tex]P(Lose) = 1 - P(Win)[/tex] ---- Complement rule
[tex]P(Lose) = 1 - 0.343[/tex]
[tex]P(Lose) = 0.657[/tex]
The expected value is then calculated as:
[tex]Expected = P(Win) * Win + P(Lose) * Lose[/tex]
[tex]Expected = 0.343 * \$60 + 0.657 * \$10[/tex]
Using a calculator, we have:
[tex]Expected = \$27.15[/tex]
So, we have:
[tex]Expected = \$20.48576[/tex] -- Slow ball
[tex]Expected = \$27.15[/tex] --- Fast ball
The expected earnings of the fast ball challenge is greater than that of the slow ball. Hence, he should choose the fast ball challenge.
Describe the event as impossible, unlikely, equally likely, likely, or certain.
Chesley McNeil, local meteorologist, said there is a 75% chance of rain today. The probability of rain is
first to answer gets brainlyest
Answers
Answer:
likely
Step-by-step explanation:
100% is certain, likely is around 75%, equally is around 50%, and unlikely is around 25%
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{gold}{Answer \red{:)}}}}}}}}[/tex]
Chesley McNeil, local meteorologist, said there is a 75% chance of rain today. The probability of rain is
[tex]\sf{\dfrac{75}{100} }[/tex] [tex]\sf{\dfrac{3}{4} }[/tex]The probability of rain is 3/4
5. Determine whether the sequence is arithmetic. If so, find the common difference.
1/9, 5/9, 25/9, 125/9, 625/9,...
A. 25/9
B. 625/9
C. 5/9
D. 4/9
E. The sequence is not arithmetic.
Answers
Answer:
d mgdyhdsyii3uhf4t3h.
A circular sheet was cut to make cone without a base of slant height equal to 7 m. If the net of the cone has a perimeter of 47 m, what percentage of the circular sheet of paper was used to make the cone?
a. 80%
b. 25%
c. 75%
d. 60%
Answers
Answer:
75%
Step-by-step explanation:
PLSSS HELP MEEE I WILL GIVE BRAINLIEST
Answers
Answer: A
Step-by-step explanation:
What is 7.936 rounded to the hundredths place
Answers
Answer:
7.94 is your answer
Step-by-step explanation:
......
1/). Help ASAP Find the area of each circle to the nearest tenth
Answers
Answer:
153.9
Step-by-step explanation:
If the diameter of a circle is 20 cm, what is the area? 10π cm2 20π cm2 50π cm2 100π cm2
Answers
Answer:
Half of 20 is 10(new radius)
10^2(radius being squared) = 100
Next step is to multiply by pi
100π cm2
Step-by-step explanation:
Formula of area of a circle:
πr^2
pi x radius squared
Triangle ABC has coordinates A(0, 1), B(0, 2), and C(3, 2). If ΔABC ≅ ΔEDF, what is the measure of DF?
Answers
Answer:
I think the answer is option 2
3 is the correct choice
-Cuántos números 2 veras si cuentas de del 10 al 22?
Answers
Answer:
12
Step-by-step explanation: