To the nearest cubic inch, what is the volume of the
right triangular prism?
Answers
Answer:
The Volume of right triangular prism is 240 cubic inches
Step-by-step explanation:
Volume of right triangular prism =[tex]\text{Area of base} \times height[/tex]
In triangle ABC
AC = Hypotenuse = 13 in.
AB = Height
BC = Base = 12 in.
Using Pythagoras theorem
[tex]Hypotenuse^2=Perpendicular^2+base^2\\13^2=Perpendicular^2+12^2\\\sqrt{13^2-12^2}=Perpendicular[/tex]
5=Perpendicular
Area of base = [tex]\frac{1}{2} \times Base \times Height = \frac{1}{2} \times 12 \times 5 = 30 in^2[/tex]
Height of prism = 8 in
Volume of right triangular prism =[tex]\text{Area of base} \times height[/tex]
Volume of right triangular prism =[tex]30 \times 8 = 240 in^3[/tex]
Hence The Volume of right triangular prism is 240 cubic inches
Related Questions
Evaluate 3a + b to the second power if a=2 and b=3
PS : can you help me with 1, 2 and 3 ?!
Answers
Answer:
1. 3
2. 3
3. 15
Step-by-step explanation:
what is the center?
the circle passes through the point (-7,-7). what is the radius?
Answers
We have been given image of circle that passes through point [tex](-7,-7)[/tex]. We are asked to find the radius of the circle.
First of all, we will find the center of the circle.
We can see that center of circle is at point [tex](-2,-1)[/tex].
Now we will use equation of circle to find radius.
[tex](x-h)^2+(y-k)^2=r^2[/tex], where, point (h,k) represents center of circle and r represents radius of circle.
Now we will substitute the coordinates of point [tex](-7,-7)[/tex] and coordinates of center [tex](-2,-1)[/tex] and solve for r as:
[tex](-7+2)^2+(-7+1)^2=r^2[/tex]
[tex](-5)^2+(-6)^2=r^2[/tex]
[tex]25+36=r^2[/tex]
[tex]61=r^2[/tex]
Switch sides:
[tex]r^2=61[/tex]
Now we will take positive square root on both sides:
[tex]\sqrt{r^2}=\sqrt{61}[/tex]
[tex]r=\sqrt{61}[/tex]
Therefore, radius of circle will be [tex]\sqrt{61}[/tex] and center is at point [tex](-2,-1)[/tex].
Chad's bedroom floor is 19 feet long and 19 feet wide. He has an area rug on his floor that is 5 feet long and 8 feet wide.
Which statement tells how to find the amount of the floor that is not covered by the rug? Select all that apply.
A Add 19 + 19 + 5 + 8.
B Subtract 40 from 19 × 19.
C Subtract 19 × 8 from 19 × 5.
D Add 19 × 19 and 5 × 8.
E Subtract 5 × 8 from 19 × 19.
F Subtract 19 × 19 from 5 × 8.
Answers
Answer:
B and E
Step-by-step explanation:
Subtract the area of the rug from the bedroom floor.
Answer:
E
Step-by-step explanation:
Area of the floor that is not covered = Area of floor - area of rug
= 19 *19 - 5*8
= 361 - 40
= 321 Sq.ft
please help!!!! thank you
Answers
Answer:
9 c^7
Step-by-step explanation:
Answer:
27c^2-4
Step-by-step explanation:
27c to the 2nd power minus 4
At Memorial Hospital, 9 of the 12 babies born on Tuesday were boys.
In simplest form, what fractions of the babies born on Tuesday were boys?
Answers
Answer:
3/4
Step-by-step explanation:
Answer:
I believe it is 3/4
Step-by-step explanation:
Simplest form right?
9/3=3
12/3=4
Which of the following could be the equation of the line passing through (8, 3) parallel to y = -2.
y = 8
x = 8
y = 3
x = 3
Answers
Which expression is equivalent to 10√5
Answers
Answer:
A. √500
Step-by-step explanation:
Since 500 = 5·100 = 5·10² you can move the 10² out of the √ as 10.
Hence 10√5 = √500
So we're using these rules:
√a·b = √a·√b
and of course
√a² = a (a>0)
Amanda and Mary each have a box of popcorn.
Whose box holds more popcorn?
How much more popcorn does the bigger box hold than the smaller box?
Answers
Answer:
Amanda's box volume is 70 cm^3 greater than Mary's
Step-by-step explanation:
Find and then compare the volumes of the two boxes:
Amanda's: 10*10*13.5 cm^3 = 1350 cm^3
Mary's: 8*8*20 = 1280 cm^3
Amanda's box volume is 70 cm^3 greater than Mary's.
What is the area of the rhombus? Please help!
Answers
Answer:
Step-by-step explanation:
1200
Which of the following equation have exactly one solution?
A) 58x + 52 = -78x - 78
B) 58x + 52 = 78x - 78
C) -78x + 52 = -52x - 78
D) 52x + 52 = 52x -78
Answers
Answer:
A, B, C all have one solution.
Step-by-step explanation:
1) Each equation in this question has one variable (x). This means that only one solution will be there.
2) Solve for x, you can cross out option D. When you subtract 52x from both sides, you're left with 52 = -78
Which is not true
3) Option A, if solved x = -65/68
4) Option B, x = 13/2
5) Option C, x = 5
All except D, have one solution, I don't know if it's a multiple choice answer but this is how I can help.
Answer:
The answer is A, B, and C.
Step-by-step explanation:
I got this answer on Khan Academy.
Hope this helps! :)
write an equation to represent the following:
five less than 1/3 a number, n. is 3
Four more than twice a number, x, is greater than the sum of three and negative seven.
Answers
Answer:
Five less than 1/3 a number n is 3.
[tex]\frac{1}{3}n-5=3[/tex]
Four more than twice a number x (2x+4) is greater than (>) the sum of three and a negative seven (3-7)
2x+4>3+(-7)
2x+4>3-7
Whats the distance between the points (-9,2) and (-4,2)?
A. 5
B. 13
C. 7
D. 2
Answers
Answer:
Distance between the points (-9,2) and (-4,2):
D = sqrt[(-9 - -4)^2 + (2 - 2)^2] = 5
=> Option A is correct
Answer:
B.13
Step-by-step explanation:
In order to solve the distance between two points you need the distance formula which is -> Distance = √ (x1 - x2)^2 + (y1 - y2)^2
-9 would be x1 and -4 would be x2(so the first numbers of both sets)
Then 2 would be y1 the other 2 would be y2(in this question they both have the same Ys)
You plug in the numbers to the formula.
Which would be:
Distance = √ (-9-4)^2 + (2-2 )^2
Start solving the first part and you will get this:-9-4=-13.Now that the inside is solved,you do the rest,you multiply what you got with the exponent.√(-13)^2=√169.
Then do the second part which is more simple.2-2=0 and when you multiply anything with a 0 is still 0 so when multiplied with the exponent,it stays the same.
You get left with the same answer of √169 and you just have to square root that which is 13.To check your answer,multiple 13*13 which you should get 169.:) Hopefully this was helpful and you understood everything I meant.
What is the slope of y=5x-1y=5x−1y, equals, 5, x, minus, 1?
Answers
Answer:
5
Step-by-step explanation:
In this question the slope would be 5.
y= mx + b is the equation being used.
y = 5x -1
m = slope
Answer:
5
Step-by-step explanation:
At a particular restaurant, each onion ring has 70 calories and each slider has 200 calories. A combination meal with onion rings and sliders is shown to have 1020 total calories and twice as many onion rings as there are sliders. Write a system of equations that could be used to determine the number of onion rings in the combination meal and the number of sliders in the combination meal. Define the variables that you use to write the system.
Answers
Step-by-step explanation:
r = onion rings amount
s = sliders amount
system of equations
2s = r
r(70) + s(200) = 1020
(for deltamath)
This question is based on the system of equations. Therefore, the system of equations 2s = r and r(70) + s(200) = 1020 are that could be used to determine the number of onion rings in the combination meal and the number of sliders in the combination meal.
Given:
At a particular restaurant, each onion ring has 70 calories and each slider has 200 calories. A combination meal with onion rings and sliders is shown to have 1020 total calories and twice as many onion rings as there are sliders.
According to the question,
Let the amount of onion rings be r and the amount of sliders be s.
Now, it is provided in question that, amount of sliders is twice as the onion rings. In mathematically expressed as,
⇒ 2s = r is the first system of equation.
Then, it is also give that, each onion ring has 70 calories and each slider has 200 calories. A combination meal with onion rings and sliders is shown to have 1020 total calories. This representing as,
⇒ r(70) + s(200) = 1020 is the second system of equation.
Therefore, the system of equations 2s = r and r(70) + s(200) = 1020 are that could be used to determine the number of onion rings in the combination meal and the number of sliders in the combination meal.
For further details, prefer this link:
https://brainly.com/question/24065247
The data below shows the scores of some students on a test: 21, 27, 29, 20, 22, 33, 23 Which box plot represents the data?
Answers
Answer:
23
Step-by-step explanation:
you take the greatest and least greatest number until only one is left.
21, 27, 29, 20, 22, 33, 23
21, 27, 29, 20, 22, 23
21, 27, 29, 22, 23
27, 29, 22, 23
27, 23
23
please help, I dont know how to do this
Answers
Answer:
[tex]\frac{y-2}{4}[/tex]
Step-by-step explanation:
Let's start by factoring everything:
[tex]\dfrac{\frac{y^2+y}{y^2-2y}}{\frac{4y+4}{y^2-4y+4}}=[/tex]
[tex]\dfrac{\frac{y(y+1)}{y(y-2)}}{\frac{4(y+1)}{(y-2)^2}}=[/tex]
Now, you can cancel out some terms:
[tex]\dfrac{\frac{y+1}{y-2}}{\frac{4(y+1)}{(y-2)^2}}=[/tex]
Now, when you divide a fraction by another fraction, that is the same as multiplying the first fraction by the reciprocal of the second one:
[tex]\frac{y+1}{y-2}\cdot \frac{(y-2)^2)}{4(y+1)}=[/tex]
[tex]\frac{y-2}{4}[/tex]
Hope this helps!
Two more than three times a number is six less than the product of two
and a number.
Answers
Answer:
x = -8
Step-by-step explanation:
3x + 2 = 2x - 6
Answer:x = -8
Step-by-step explanation:
Joe has 10 marbles. Ken has fewer marbles than Joe. Which inequality represents the
number of marbles m that Ken has?
m
= 10
m
<10
m
> 10
m
< 10
Answers
Answer:
The 2nd and 4th (m<10)
Step-by-step explanation:
The symbol used is a less than sign, so the inequality is saying m is less than 10, and since Ken=m Ken has fewer marbles.
Answer:
Step-by-step explanation:
Macy has a circular garden that has a radius of 4.5 meters. What is the circumference of her garden? Use 3.14 for pi
A. 28.26
B. 56.52
C. 63.58
D. 14.13
Answers
Answer:
A
Step-by-step explanation:
The formula for circumference is C = 2[tex]\pi[/tex]r. When plugging in these values, 2 x 3.14 x 4.5 is equal to 28.26.
Circumference of her garden is 28.26 m. So, Option 'A' is the correct answer to the following question.
Circumference based problem:What information do we have?
Radius of circular garden = 4.5 m
Circumference of her garden = circumference of circle
So,
Circumference of her garden = 2πr
Circumference of her garden = 2(3.14)(4.5)
Circumference of her garden = 28.26 m
Find out more information about 'Circumference'.
https://brainly.com/question/12512221?referrer=searchResults
What is the probability of spinning a 2 both times?
Answers
Answer:
the posbilities is an hour
Step-by-step explanation:
30 + 30 mins = 1 hour
A Bowling ball is rolled down the alley with the constant velocity of 1.6 m/sec at an angle of 85° to the starting line, the position of the person throwing a bowling ball can be represented by the point (0,0). where is the ball after six seconds?
Answers
We have been given that a Bowling ball is rolled down the alley with the constant velocity of 1.6 m/sec at an angle of 85° to the starting line, the position of the person throwing a bowling ball can be represented by the point (0,0).
We are asked to find the position of ball after 6 seconds.
We will use horizontal position and vertical position formula to solve our given problem.
Horizontal position is given by formula: [tex]x=v\cdot \text{cos}(\theta)\cdot t[/tex] and vertical position is given by formula: [tex]y=v\cdot \text{sin}(\theta)\cdot t[/tex],where,
v = Velocity,
t = Time,
[tex]\theta[/tex] = Angle to the starting line.
For our given problem [tex]v=1.6[/tex], [tex]t=6[/tex] and [tex]\theta=85^{\circ}[/tex].
[tex]x=1.8\cdot \text{cos}(85^{\circ})\cdot 6[/tex]
[tex]x=10.8 \cdot 0.087155742748[/tex]
[tex]x=0.9412820216784\approx 0.94[/tex]
[tex]y=1.8\cdot \text{sin}(85^{\circ})\cdot 6[/tex]
[tex]y=10.8\cdot 0.996194698092[/tex]
[tex]y=10.7589027\approx 10.76[/tex]
Therefore, the position of ball after 6 seconds would be [tex](0.94,10.76)[/tex].
Answer:
(0.8,9.6)
Step-by-step explanation:
x=1.6*cos85* 6=0.8
y=1.6*sin85 *6=9.6
HELLPPPPPP
S S DS ADS
A
Answers
Answer:
90%
Step-by-step explanation:
9/10 = 90/100
the answer to the equation is 90
CraftWorks employed three different salespeople last year. Person 1 earned
$5500 in the first quarter, person 2 earned $7500 in the first quarter, and
person 3 earned $8000 in the first quarter. What are the maximum FUTA
deductions for the first quarter?
O A. $1229.00
O B. $806.00
O
C. $1302.00
O
D. $1209.00
Answers
Answer:
D) $1,209.00
The maximum FUTA deductions for the first quarter = $1,209.00
Step-by-step explanation:
The Federal Unemployment Tax Act (FUTA) is a tax which employers who pay their employees must pay in order to fund the state unemployment agencies. This tax is only payable on the first $1,500 to $7,000 on each emoloyees wage in a single quarter.
The FUTA current rate is 6.2%
Given that,
Employee 1 earned $5,500 in quarter 1.
Employee 2 earned $7,500 in quarter 1.
Employee 3 earned $8,000 in quarter 1.
Employee 2 and employee 3 would only be charged for their first $7,000 since they earned more than $7,000.
Therefore, the maximum FUTA deductions for the first quarter would be calculated as:
(0.062 * 5,500)+(0.062 * 7,000) + (0.062 * 7,000)
= $341 + $434 + $434
= $1,209
The maximum FUTA deductions for the first quarter = $1,209.00
Which expression is equivalent to (90?
Of(5) g(5)
f(5) + g(5)
5f(5)
59(5)
Answers
the answer is 5f(5)
Trust me just work it out and you will get the same
HELP ME WITH MY 7th-GRADE MATH HW (will mark brainless)
Answers
Answer:
124 sq cm
Step-by-step explanation:
Surface Area of the recatangles on both sides is 50 cm each so
50+50=100
and the area of the two triangles is 12 each so
12+12=24
and 100+24=124
Answer:
184cm^2
Step-by-step explanation:
SA=hp+2B
h=10
p=16
hp=160
B= 1/2bh
B=12
12x2=24
hp+2B= 24+160= 184
URGENT WILL MAKE BRAINLEST
Each month, Daniel budgets $1230 for fixed expenses, $780 for living expenses, and $160 for
annual expenses. His annual net income is $30,300.
Which statement best describes his monthly budget?
It shows a deficit of $355
It shows a surplus of $355.
It shows a surplus of $515.
It is balanced.
Answers
Answer:
B
Step-by-step explanation:
Monthly net income = 30300/12 = $2525
Total monthly expenses = 1230+780+160 = $2170
Surplus = 2525 - 2170 = $355
The value of the cash flow will be $355 which is surplus. Then the correct option is B.
What is cash flow?The cash balance of liquid assets coming into and going out of a business is referred to as cash flow. Money spent and money received reflect inflows and outflows, respectively.
The cash flow is the difference between outflow and inflow.
Cash flow = outflow - inflow
If the value of the cash flow is negative that means the expense is more.
If the value of the cash flow is positive that means the income is more.
Every month, Daniel spending plans $1230 for fixed costs, $780 for everyday costs, and $160 for yearly costs. His yearly overall gain is $30,300.
Then the Cash flow is calculated as,
Cash flow = ($30,300 / 12) - ($1,230 + $780 + $160)
Cash flow = $2,525 - $2,170
Cash flow = $355
The value of the cash flow will be $355 which is surplus. Then the correct option is B.
More about the cash flow link is given below.
https://brainly.com/question/10714011
#SPJ2
Evaluate tan²0 for 0 = 60°.
1/3
3/4
1
3
Answers
Answer:
3
Step-by-step explanation:
i Substituted the value ofthe variable into the equation and simplified it.
-10-9-8-7-6-5-4-3-2
-1 0
1
2
3
4 5 6 7 8 9 10
Determine the distance between -1 and -7.
-1
A)
-8 units
B)
-6 units
C)
6 units
D)
8 units
Answers
Answer:
B)6 units
Step-by-step explanation:
-10-9-8-7-6-5-4-3-2-1 01234 5 6 7 8 9 10
or
-7-(-1)=-6
Distance can't be a negative so the answer is 6.
Classify the following triangle. Check all that apply.
51
12.1
/59
70"
10
A. Scalene
I B. Equilateral
O C. Right
D. Acute
O E. Obtuse
O F. Isosceles
none of the answers I saw had the same triangle
Answers
Answer:
acute
Step-by-step explanation:
the largest number for the angles is 70 wich is an acute number and since the angles are all not equal its not equilateral
Answer:
it D . acute and A .scalene
can i get your help please
Which answer choice shows the decimals in order from greatest to least?
A. 1.234, 1.237, 1.2, 1.48, 2.01
B. 1.2, 1.234, 1.237, 1.48, 2.01
C. 2.01, 1.48, 1.237, 1.234, 1.2
D. 1.2, 1.48, 2.01, 1.234, 1.237
Answers
Answer:
B. 1.2, 1.234, 1.237, 1.48, 2.01
Step-by-step explanation:
C. 2.01, 1.48, 1.237, 1.234, 1.2
