Answer:
Table 3 and Table 5
Step-by-step explanation:
y = 3/5 x
The slope is 3/5
3/5 = .6
We want a slope that is lower
We want to find the slope for each table
Slope is found by
m = (y2-y1)/(x2-x1)
Table 1
= (12-4)/(9-3) = 8/6 = 4/3 =1.33
Table 2
= (12-4)/(15-5) = 8/10 = 4/5=.8
Table 3
= (54-18)/(93-31) = 36/62=18/31=.58
Table 4
= (33-11)/(54-18) = 22/36 = 11/12=.92
Table 5
= (21-7)/(36-12) =14/24 = 7/12 =.58
Find the perimeter of a triangle with side lengths of /80
20 and 45
Answer:
145
step by step explanation:
perimeter definition:
perimeter definition:the continuous line forming the boundary of a closed geometrical figure.
add up the length of the sides:
80+20+45=145
What is the equation of the line that passes through the points (-1, 7) and (2, 10) in Standard Form?
A) -3x + y = 4
B) -3x + y = 16
C) - x + y = 8
D) -x + y = 12
bearing in mind that standard form for a linear equation means
• all coefficients must be integers, no fractions
• only the constant on the right-hand-side
• all variables on the left-hand-side, sorted
• "x" must not have a negative coefficient
[tex]\bf (\stackrel{x_1}{-1}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{10}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{10-7}{2-(-1)}\implies \cfrac{3}{2+1}\implies \cfrac{3}{3}\implies 1[/tex]
[tex]\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-7=1[x-(-1)]\implies y-7=x+1 \\\\\\ y=x+8\implies \boxed{-x+y=8}\implies \stackrel{\textit{standard form}}{x-y=-8}[/tex]
just to point something out, is none of the options, however -x + y = 8, is one, though improper.
The population of a city was 572,000 in 2010. In the 2000 census the population was 607,000. What was the rate of decrease of the population from one census to the next? Round to the nearest percent.
Answer:
6%
Step-by-step explanation:
To solve this you need to subtract 607000 by 572000 to see how many people in the population decreased.
607,000- 572,000= 35,000
Then you put 35,000 over 607,000
also you need x over 100
35000/607,000 x/100
Then do cross product property
35,000*100=3,500,000
607,000* x= 607,000x
3,500,000= 607,000x
Then do 3,500,000 divided by 607,000
You get 5.76%
Round to the nearest percent and get 6%
Final answer:
The rate of decrease of the population from the 2000 census to the 2010 census is 6% when rounded to the nearest percent.
Explanation:
To calculate the rate of decrease of the city's population, we use the population values from the 2000 and 2010 censuses. The population in 2000 was 607,000, and in 2010 it was 572,000. To find the population decrease, subtract the 2010 population from the 2000 population:
Population decrease = Population in 2000 - Population in 2010
Population decrease = 607,000 - 572,000
Population decrease = 35,000
Next, to find the rate of decrease as a percent, we divide the population decrease by the original population (in 2000) and then multiply by 100:
Rate of decrease (%) = (Population decrease / Population in 2000) × 100
Rate of decrease (%) = (35,000 / 607,000) × 100
Rate of decrease (%) = 0.0577 × 100
Rate of decrease (%) = 5.77%
Round this to the nearest percent, and you get a 6% decrease.
Which graph represents 2x-5y< 15
Answer:
Step-by-step explanation:
Rewrite 2x-5y< 15 as follows: Add 5y to both sides. Then 2x < 15 + 5y.
Next, subtract 15 from both sides: 2x - 15 < 5y.
Finally, divide all terms by 5: (2/5)x - 3 < y
Now find the y-intercept of this line. Let x = 0. Then y = -3. Plot (0, -3) on graph paper. Now, starting at (0, -3), move your pencil point 5 spaces to the right and 2 spaces up. Plot this new point, (5, -1). Now draw a dashed line through both (0, -3) and (5, -1). Shade the area ABOVE this dashed line.
Answer:
is op 4 (-3,7)
Step-by-step explanation:
Which are the solutions to the inequality (x-3)(x+5)<_0
Answer:
[ - 5, 3 ]
Step-by-step explanation:
Solve (x - 3)(x + 5) = 0
The zeros are x = - 5 and x = 3
These divide the domain into 3 intervals
(- ∞, - 5 ], [- 5, 3 ], [ 3, + ∞ )
Choose a test point in each interval and consider the sign of the result.
x = - 10 : (- 10 - 3)(- 10 + 5) = (- 13)(- 5) = 65 > 0
x = 0 : (0 - 3)(0 + 5) = (- 3)(5) = - 15 < 0 ← required result
x = 5 : (5 - 3)(5 + 5) = (2)(10) = 20 > 0
The solution is [ - 5, 3 ] or - 5 ≤ x ≤ 3
Answer:
B
Step-by-step explanation:
Right on edge 2021
21. Mahina measured the diameter of a circle to be 6.5 inches. What is the circumference of that circle to the
nearest inch?
A. 39 in
B. 40 in
C. 20 in
D. 36 in
Answer:
20 inch
Step-by-step explanation:
Diameter, D = 6.5in
Circumference
= π x D
= 3.142 x 6.5
= 20.42
= 20 in (rounded to nearest in)
Given that lines b and c are parallel, select all that apply.
Answer:
C) angle 2 and angle 8
Step-by-step explanation:
If a wheel has 64 spokes, how many spaces are there between the spokes?
Answer:
One
Step-by-step explanation:
It is one because each spoke has one space in the middle. However some people think it's 64 because they read the question wrong.
Write as an algebraic expression and then simplify if possible The distance traveled by a train in three hours with a constant speed of r miles per hour.
Answer:
Distance = 3r
Step-by-step explanation:
We are to write an algebraic expression and then simplify it for the given situation:
The distance traveled by a train in three hours with a constant speed of r miles per hour.
We know the formula of distance linking the speed and the time.
Distance = speed × time
Substituting the given values to get:
Distance = r × 3
Distance = 3r
PLEASE HELP!!! I'll give you the brainliest! a random sample of 3000 people was chosen for a survey. 47% of them had children under 18 living at home. find the 95% confidence interval - see picture
Answer: 0.4521 - 0.4879
Step-by-step explanation:
1) Find the standard deviation with the given information:
n=3000
p=47% ⇒ 0.47
1-p= 1 - 0.47 = 0.53
[tex]\sigma =\sqrt{\dfrac{p(1-p)}{n}}\\\\\\.\ =\sqrt{\dfrac{0.47(0.53)}{3000}}\\\\\\.\ =\sqrt{\dfrac{0.2491}{3000}}\\\\\\.\ =\sqrt{0.00008303}\\\\\\.\ =0.009112[/tex]
2) Find the margin of error (ME) with the given information:
C=95% ⇒ Z = 1.960
σ=0.009112
ME = Z × σ
= 1.96 (0.009112)
= 0.01786
3) Find the confidence interval with the given information:
p = 0.47
ME = 0.01786
CI = p ± ME
= 0.47 ± 0.01786
= (0.4521, 0.4879)
What is true about the completely simplified sum of the polynomials 3x2y2 − 2xy5 and −3x2y2 + 3x4y?
The sum is a trinomial with a degree of 5.
The sum is a trinomial with a degree of 6.
The sum is a binomial with a degree of 5.
The sum is a binomial with a degree of 6.
Answer:
The sum is a binomial with a degree of 6
Step-by-step explanation:
we have
[tex](3x^{2}y^{2}-2xy^{5})+(-3x^{2}y^{2}+3x^{4}y)[/tex]
Group terms that contain the same variable
[tex](3x^{2}y^{2}-3x^{2}y^{2})-2xy^{5}+3x^{4}y[/tex]
[tex]0-2xy^{5}+3x^{4}y[/tex]
[tex]-2xy^{5}+3x^{4}y[/tex]
The sum is a binomial ( two terms) with a degree of 6
[tex]-2xy^{5}[/tex] has a degree of 6 (x has an exponent of 1, y has 5, and 1+5=6)
The sum of the polynomial is a binomial with a degree of 6. The correct option is D) and this can be determined by using arithmetic operations.
Given :
Polynomials -- [tex]3x^2y^2-2xy^5[/tex] and [tex]-3x^2y^2+3x^4y[/tex]
The following steps can be used to determine the sum of the given polynomials:
Step 1 - Write the sum of the given polynomials.
[tex]3x^2y^2-2xy^5-3x^2y^2+3x^4y[/tex]
Step 2 - Subtract [tex]3x^2y^2[/tex] from [tex]3x^2y^2[/tex] in the above expression.
[tex]-2xy^5+3x^4y[/tex]
The above expression cannot be further simplified. Therefore, this is the final expression of the sum of the given polynomials.
The sum of the polynomial is a binomial with a degree of 6. Therefore, the correct option is D).
For more information, refer to the link given below:
https://brainly.com/question/1957976
2. Solve the equation by completing the square. Show your work.
x^2-30x=-125
Step 1: add (b)^2
—
2
To both sides of the equation.
Step2: factor the left side of the equation. Show your work.
Step 3: take the square root of both sides of the equation from step2.
Step 4: simplify the radical and solve for x. Show your work.
35 points!!! to whoever help me this. Thank you very much
Answer:
x = 5 or 25
Step-by-step explanation:
I think the method I am about to explain is slightly quicker and easier than the method in your question. This works for any 'complete the square' question.
We begin with x² - 30x = - 125.
First, we are going to factorise the left-hand side of the equation by dividing the 'b' value (-30) by 2 (you'll see why this works in a minute):
(x - 15)²
We want these brackets to multiply out to give x² - 30x, so that they equal the left-hand side of the equation. Unfortunately, if we multiply them out, we get:
(x - 15)(x - 15) =
x² - 30x + 225
There is an unwanted term (the + 225, from 15²)! We only want x² - 30x, so we have to remove this term by subtracting it from the left side of the equation. To do this, let's set up the original equation again:
(x² - 30x + 225) - 225 = - 125
Note: The reason why we don't have to subtract it from both sides is because the original equation is x² - 30x = - 125, and so we must make sure the left hand side is still equal to x² - 30x.
So now we know that (x - 15)² multiplies out to give x² - 30x +225, we can write this as (x - 15)² in our equation:
(x² - 30x + 225) - 225 = - 125
is the same as:
(x - 15)² - 225 = - 125
Now add 225 to both sides of the equation:
(x - 15)² = - 125 + 225 = 100
(x -15)² = 100
The next step is to square root both sides. Be careful here, and remember that √100 can either be 10 or -10, as (-10)² = 100. To indicate both results, write ±10 ("plus or minus 10").
√(x - 15)² = √100
x - 15 = ±10
Because, there are two possible values for the right-hand side of the equation, we need to separate our equation into two equations:
1. x - 15 = 10
and
2. x - 15 = -10
Now we solve these two simple linear equations for x:
1. x = 10 + 15 <- add 15 to both sides
x = 25 This is our first solution.
2. x = -10 + 15 <- add 15 to both sides again
x = 5 This is our other solution.
So our two solutions are x = 5 and x = 25!
I have attached the quick version of the working out for this question - that is what you would be expected to write down in a test.
x = 5 or 25
What is factorization in math?Set up the product of binomials. Write values for the 1st term in each binomial like that the product of the values is = to the 1st term of the expression being factored.Find a product of 2 values that is = to the 3rd term in the expression being factored
We begin with x² - 30x = - 125.
First, we are going to factorise the left-hand side (LHS) of the equation by dividing the 'b' value (-30) by 2 (you'll see why this works in a minute):
(x - 15)²
We need these brackets to multiply out the give x² - 30x, so that they = the left-hand side (LHS) of the equation. Unfortunately, if we multiply them out, we get:
(x - 15)(x - 15) =
x² - 30x + 225
There are an unwanted term (the + 225, from 15²)! We only need x² - 30x, so we have to remove this term by subtracting this from the left side of the equation. To do this, let's set up the original equation again:
(x² - 30x + 225) - 225 = - 125
Note: The reason why we do not have to subtract this from both sides is because original equation is x² - 30x = - 125, and so we must make sure the left hand side is = to x² - 30x.
So now we know that (x - 15)² multiplies out to give x² - 30x +225, we can write this as (x - 15)² in our equation:
(x² - 30x + 225) - 225 = - 125
as the same as:
(x - 15)² - 225 = - 125
Now add 225 to both sides by the equation:
(x - 15)² = - 125 + 225 = 100
(x -15)² = 100
The next step is to square root by both sides. Be careful here, or remember that √100 can either be 10 or -10, as (-10)² = 100. To indicate both results, write ±10 ("plus or minus 10").
√(x - 15)² = √100
x - 15 = ±10
Because, there are 2possible values for the right-hand side of the equation, we need to separate this equation into 2 equations:
1. x - 15 = 10
and
2. x - 15 = -10
Now we have solve these two simple linear equations for x:
1. x = 10 + 15 <- add 15 to both sides
x = 25 This is our first solution.
2. x = -10 + 15 <- add 15 to both sides again
x = 5 This is our other answer.
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Solve -37 + n = -56 for n. -93 -19 19 93
Answer:
n = -19Step-by-step explanation:
[tex]-37+n=-56\qquad\text{add 37 to both sides}\\\\-37+37+n=-56+37\\\\n=-19[/tex]
Answer:
n=-93
A. -93 *(first option)*
Step-by-step explanation:
First, you subtract by 37 from both sides of equation.
-37+n-37=-56-37
Then, simplify to find the answer.
-56-37=-93
n=-93 is the correct answer.
I hope this helps you, and have a wonderful day!
Maria spent 1/5 of her savings on a storybook. She spent 3/8 of the remaining amount on a comic book. What fraction of her savings was spent on a comic book?
math help please its just one question
Use the law of sines:
Sin(angle) = Opposite Leg / Hypotenuse
Sin(30) = 14 / x
x = 14/sin(30)
x = 28
If A = {(x, y)|x + 2y = 7}, is Set A a function?
===============================================
Here are some reasons why
We can solve x+2y = 7 for y to get y = -0.5x+3.5; this equation is in slope intercept form y = mx+b. All equations in the form y = mx+b are linear and also a function.For any input x, there is exactly only one y value that pairs with it.The vertical line test can be used to effectively verify item #2 above. The idea is that it is impossible to draw a vertical line through more than one point on the graph. So it is said to pass the vertical line test.write each improper fraction as a mixed number. 9/4. 8/3. 23/6. 11/2. 17/5. 15/8. 33/10. 29/12.
Aloha~! My name is Zalgo and I am here to provide a bit more knowledge to you today. The following Improper Fractions have been changed into Mixed Numbers (and also into decimals because I like Math :3):
9/4 - 2.25 - 2 4/18/3 - 2.67 - 2 2/323/6 - 3.83 - 3 5/611/2 - 5.5 - 5 1/217/5 - 3.4 - 3 2/515/8 - 1.875 - 1 7/833/10 - 3.3 - 3 3/1029/12 - 2.416 - 2 5/12I hope that this info helps! :D
"Stay Brainly and stay proud!" - Zalgo
(By the way, can you mark me as Brainliest? I'd greatly appreciate it! Mahalo~! XP)
Answer:
In order; 2 1/4, 2 2/3, 3 5/6, 5 1/2, 3 2/5, 1 7/8, 3 3/10, 2 5/12
Step-by-step explanation:
The way mixed numbers work is how many times (improper fraction) the denominator can go into the numerator.
For example, in the improper fraction 9/4, 4 can go into 9 twice making the whole number a 2, then you get whatever is left and leave it as the fraction; there is 1/4 left making making the mixed number 2 1/4. Use this rule to apply to all the improper fractions.
Without graphing, identify the quadrant in which the point (x, y) lies if x < 0 and y < 0.
Answer:
B.
Step-by-step explanation:
Answer:
II
Step-by-step explanation:
HELP!! what is the value of x in this figure?
5
[tex]5 \sqrt{2} [/tex]
[tex]5 \sqrt{3} [/tex]
[tex] \frac{10 \sqrt{3} }{3} [/tex]
Check the picture below.
Also check your Unit Circle for the cosine of 30°, if you don't have a Unit Circle yet, this is a good time to get one, you'll need it, you can find many online.
Pick a number from the following list 1,2,3,4 write it down if each student in a class of 50 we’re also to pick a number how many would you guess had selected the same number as you did
Answer:
13 students
Step-by-step explanation:
We have a list of four numbers: 1, 2, 3, 4. If 50 persons were to pick a number randomly, it means that the probability of picking any of the numbers is 0.25.
Therefore, from 50 students, 0.25*50 = 12.5 ≈ 13 students aproximately would choose the same number as I did.
Solve: 2 In 3 = In(x-4)
[tex]\bf \begin{array}{llll} \textit{Logarithm of rationals} \\\\ \log_a\left( \frac{x}{y}\right)\implies \log_a(x)-\log_a(y) \end{array}~\hfill \begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ log_a a^x = x\qquad \qquad \stackrel{\textit{we'll use this one}}{a^{log_a x}=x} \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\bf 2\ln(3)=\ln(x-4)\implies \ln(3^2)=\ln(x-4)\implies \ln(9)=\ln(x-4) \\\\\\ \log_e(9)=\log_e(x-4)\implies e^{\log_e(9)}=e^{\log_e(x-4)}\implies 9=x-4\implies \boxed{13=x}[/tex]
Which points represent an approximate solution to this system of equations? y=1/x-3 y=3-x³
A. (1.5, 1)
B. (1.5, -0.7)
C. (1.6, 1.6)
D. (2.9, -22.8)
Answer:
Options B and D
Step-by-step explanation:
we have
[tex]y=\frac{1}{x-3}[/tex] -----> equation A
[tex]y=3-x^{3}[/tex] -----> equation B
Solve the system of equations by graphing
The solution of the system of equations is the intersection point both graphs
The solutions are the points (1.545,-0.687) and (2.956,-22.835)
see the attached figure
The approximate solutions are
(1.5,-0.7) and (2.9,-22.8)
Answer:
Options B and D
Step-by-step explanation:
HELPS ME PASS THIS YEAR. will give brainliest happily
1.
What is the mean absolute deviation for 7, 5, 1, 6, 2, and 3? (5 points)
6
3
2
1
2.
The histogram shows the number of prizes won by different numbers of students at a quiz competition. Which of the following statements is correct regarding the number of students and the number of prizes won? (look at picture)
A total of 10 students won all the prizes.
Four students won 12, 13, 14, 15, 16, or 17 prizes.
A total of 10 prizes were won by all the students.
Four prizes were won by 12, 13, 14, 15, 16, or 17 students.
3.
The following box plot shows the number of books sold each day at a store for 80 days. How many days did the bookstore sell 2 to 12 books?
(second picture)
40
60
70
80
Have great summer yall
Answer:
Step-by-step explanation:
1.) mean is 4 1,2,3,5,6,7
2.) Four students won 12, 13, 14, 15, 16, or 17 prizes.
A total of 10 prizes were won by all the students.
3.)don't know number 3
the answer for 2 is B because 4 students won 12-17 prizes. They just word it 12,13,14,15,16 or 17.
Sharon wants to sit in the back seat of the bus on the trip to the zoo. The back seat is the full width of the bus and seats five students. If Sharon selects her place on the seat at random, what is the probability that she will sit at either end by a window?
The probability that she will sit at either end by a window is 2/5 or 0.4.
Explanation:To solve this problem, we first need to determine the total number of places Sharon could sit and then identify which of those places meet the condition of being at either end by a window.
Since the back seat is the full width of the bus and seats five students, there are a total of 5 different places Sharon could choose to sit.
Now we need to identify the places that are at either end by a window. Since it's the back seat of the bus, there would typically be a window at the far left and the far right of the seat.
So, there are two seats that meet our condition:
- One on the far left
- One on the far right
This means out of the 5 available places, there are 2 places that fulfill the condition of Sharon sitting by a window at either end of the back seat.
The probability P that Sharon will sit by a window at either end is therefore the number of favorable outcomes (sitting by a window at either end) divided by the total number of possible outcomes (any of the 5 seats).
P = (Number of favorable outcomes) / (Total number of possible outcomes)
P = 2 / 5
Therefore, the probability that Sharon will sit at either end by a window is 2/5 or 0.4 (if expressed as a decimal).
Help please!! What’s the volume of the triangular prism?
Answer:
[tex]\large\boxed{D.\ 168\ units^2}[/tex]
Step-by-step explanation:
[tex]\text{The formula of a volume of a prism:}\\\\V=BH\\\\B-base\ area\\H-height\\\\\text{In the base we have the right triangle.}\\\text{The formula of an area of a right triangle:}\ A=\dfrac{ab}{2}\\\\a,b-legs\\\\\text{We have}\ a=6\ \text{and}\ b=8.\ \text{Substitute:}\\\\B=\dfrac{(6)(8)}{2}=\dfrac{48}{2}=24\\\\\text{Calculate the volume:}\\H=7\\\\V=(24)(7)=168\ units^2[/tex]
To find the volume of a triangular prism, we have to multiply the area of the base by the heigh of the prism.
Let's first identify our values:
7 = height of the prism
6 = base of triangle
8 = height of triangle
First, we have to multiply the base of the triangle by the height of the triangle. The base of the triangle is 6 and the height of the triangle is 8. Then, we have to divide it by 2.
6 × 8 = 48
48 ÷ 2 = 24
Finally, we have to multiply 24 by the height of the prism. 24 × 7 = 168
Therefore, the volume of the prism is 168 [tex]units^{2}[/tex]
Raymond can paint 5/8 of a wall in 16minutes. How long would it take him to paint 1/3 of a wall?
Answer:
128/15 min or 8.5 min
Step-by-step explanation:
By using unitary method,
Time required to paint 5/8 of wall = 16 min.
Time required to paint 1/1 of wall = 16×8/5
Hence, Time required to paint 1/3 of wall = 16×8/5×1/3
Answer:
8 8/15
Step-by-step explanation:
simplify the two fractions you have to make them have the same denominater
enthen you can determine the answer.
Given a rectangular pyramid and a rectangular prism that have the same base and same height, how do their volumes compare? If the pyramid was full of water, how much of the prism would it fill up? Name another pair of three-dimensional objects that have a relationship similar to this.
Answer:
Part 1) The volume of the prism is 3 times greater than the volume of the pyramid
Part 2) The prism would fill only one-third
Part 3) The cylinder and the cone
Step-by-step explanation:
Part 1) How do their volumes compare?
we know that
The volume of a rectangular prism is equal to
[tex]Vprism=BH[/tex]
where
B is the area of the base of rectangular prism
H is the height of the prism
The volume of a rectangular pyramid is equal to
[tex]Vpyramid=\frac{1}{3}BH[/tex]
where
B is the area of the base of rectangular pyramid
H is the height of the pyramid
Compare the volumes
[tex]Vprism=BH[/tex] -----> equation A
[tex]Vpyramid=\frac{1}{3}BH[/tex] -----> equation B
substitute equation A in equation B
[tex]Vpyramid=\frac{1}{3}Vprism[/tex]
[tex]Vprism=(3)Vpyramid[/tex]
The volume of the prism is 3 times greater than the volume of the pyramid
Part 2) If the pyramid was full of water, how much of the prism would it fill up?
Remember that
[tex]Vpyramid=\frac{1}{3}Vprism[/tex]
therefore
The prism would fill only one-third
Part 3) Name another pair of three-dimensional objects that have a relationship similar to this
we have the cylinder and the cone
The volume of the cylinder is equal to
[tex]Vcylinder=\pi r^{2}h[/tex]
The volume of the cone is equal to
[tex]Vcone=\frac{1}{3}\pi r^{2}h[/tex]
Compare the volumes
[tex]Vcylinder=(3)Vcone[/tex]
The volume of the cylinder is 3 times greater than the volume of the cone
The volume of the pyramid is one-third of the volume of the rectangular prism with the same base and height. Therefore, if the pyramid was full of water, it would fill one-third of the prism. Cones and cylinders with the same base and height have a similar volume relationship.
Explanation:When comparing the volumes of a rectangular pyramid and a rectangular prism that have the same base and the same height, the volume of the pyramid is exactly one-third the volume of the prism. This is because the volume of the prism is calculated by length × width × height, while the volume of the pyramid is ⅓ x (base area) x height, which is ⅓ x (length × width) x height.
If the pyramid was full of water, it would fill up exactly one-third of the prism. This corresponds to the geometric rule that says the volume of a pyramid is one-third the volume of a prism with the same base and height.
Another pair of three-dimensional objects with a similar relationship is a cone and a cylinder. Like the pyramid and prism, if the cone and cylinder have the same base and height, the cone's volume is one-third of the cylinder's volume.
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Name the types of angles shown
Answer:
A
Step-by-step explanation:
Answer:
staight angle and supplementary angle
Step-by-step explanation:
Wong’s Garage buys quarts of motor oil by the gross (144 units) for $0.75 per quart. When Wong’s changes the oil in customers’ cars, it marks up the oil 175% of the cost. What is the selling price of a quart of oil used in a standard oil change?
Answer:
Each quart is 1.31 to the customer.
Step-by-step explanation:
Cost of 1 quart to Wong = 0.75
Cost to you or I = 0.75 * 175/100 = 1.31
He sells each quart for 1.31 dollars.
GEOMETRY Please help me with this
Answer:
The volume of the triangular prism is [tex]595\ units^{3}[/tex]
Step-by-step explanation:
we know that
The volume of the triangular prism is equal to
[tex]V=BH[/tex]
where
B is the area of the base
H is the height of the prism
Find the area of the triangular base B
[tex]B=(1/2)bh[/tex]
substitute the given values
[tex]B=(1/2)(14)(17)=119\ units^{2}[/tex]
Find the volume
[tex]V=(119)(5)=595\ units^{3}[/tex]