The dimensions of a triangular prism are shown in the diagram. The prism is not drawn to scale.
What is the volume of the triangular prism in cubic centimeters?
Answer:
151200 cm³
Step-by-step explanation:
volume = (area of base) × (height of prism)
volume = bh/2 × H
volume = (32 cm)(63 cm)/2 × 150 cm
volume = 151200 cm³
What is the length of the subtended arc, if the radius is 12 units and the central angle measures 45 degrees? (give the answer in decimal form rounded to the nearest tenth.)
The length of the subtended arc, if the radius is 12 units and the central angle measures 45 degrees is 9.42.
What is the length of the arc?The arc length is defined as the interspace between the two points along a section of a curve.
An arc of a circle is any part of the circumference.
The length of the subtended arc, if the radius is 12 units and the central angle measures 45 degrees is given by;
[tex]\rm ARC =2\pi r \times \dfrac{\theta}{360}\\\\ARC =2\pi \times 12 \times \dfrac{45}{360}\\\\ ARC =3\times 3.14\\\\ARC =9.42[/tex]
Hence, the length of the subtended arc, if the radius is 12 units and the central angle measures 45 degrees is 9.42.
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Eva pays a company $53.95 every 8 months to host her website.
How much does Eva pay per month?
How much does Eva pay ever 3 years?
Answer:
$6.74
$242.78
Step-by-step explanation:
A
$53.95 ÷ 8 = $6.74
B
3 × 12 = 36
36 ÷ 8 = 4.5
4.5 × 53.95 = 242.775
$242.78
PLEASE ANSWER FAST I NEED HELP
Part D
? Question
Suppose Coach Bennet selects one senior and one junior as the first two players. The coach then randomly selects
the third player from either group.
Taylor and Jamie are both juniors on the team. If Taylor is selected as one of the first two players, what is the
probability that Jamie will be selected as the third player?
Type in the correct answer in the box. Use numerals instead of words. If necessary, round your answer to the
nearest tenth.
The probability that Jamie will be selected as the third player, given that Taylor is selected as one of the
The probability that Jamie will be selected as the third player, given that Taylor is selected as one of the is 22%.
ProbabilityLet J represent the event that junior is selected
Let S represent the event that senior is selected
Hence:
Probability when Jamie is selected as the last person
P(JSJ) or P(SJJ)
P(JSJ) =6/14×8/13×5/12
P(JSJ) =10/91
P(SJJ) =8/14×6/13×5/12
P(SJJ) =10/91
P(Jamie selected)=P(JSJ) + P(SJJ)
P(Jamie selected)=10/91+10/91
P(Jamie selected)=20/91
P(Jamie selected)=0.2198×100
P(Jamie selected)=21.98%
P(Jamie selected)=22% (Approximately)
Therefore the probability that Jamie will be selected as the third player, given that Taylor is selected as one of the is 22%.
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Answer:
Therefore, the probability of Jamie being selected as the third player, given that Taylor is already selected as one of the first two players, is 8.9%
Step-by-step explanation:
trust me
If you need $25,000 eight years from now, what is the minimum amount of money you need to deposit
into a bank account that pays an annual percentage rate (APR) of 5% that is compounded-
a. once a year?
Please Help me on this ! ( don’t send links)
A delivery company is considering adding another vehicle to its delivery fleet; each vehicle is rented for $350 per day. Assume that the additional vehicle would be capable of delivering 1,750 packages per day and that each package that is delivered brings in $0.35 in revenue. Also assume that adding the delivery vehicle would not affect any other costs.
Answer:
MRP: 612.5
MRC: 350
Step-by-step explanation:
MRP: 1750 x 0.35/1= 612.5
MRC: cost to rent each vehicle per day
what is an equation of the line that passes through the points (6,5) and (7,7)
Answer:
The slope of the line is m = 2.
The y-intercept is (0,7).
The equation of the line in the slope-intercept form is y = 2 x - 7.
Step-by-step explanation:
The slope of a line passing through two points [tex]P = \left(x_{1}, y_{1}\right)[/tex] and [tex]Q = \left(x_{2}, y_{2}\right)[/tex]
is given by [tex]m=\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]
We have that [tex]x_{1} = 6[/tex] , [tex]y_{1} = 5y[/tex] , and [tex]y_{2} =7.[/tex]
Plug the given values into the formula for a slope: [tex]m=\frac{7-5}{7-6} =2[/tex].
Now, the y-intercept is [tex]b=y_{1} -mx_{1}[/tex] (or [tex]b =y_{2} -mx_{2}[/tex], the result is the same).
[tex]b=5-(2)*(6)=-7[/tex]
Finally, the equation of the line can be written in the form [tex]y=b+mx[/tex]:
[tex]y=2x-7[/tex]
Answer:
[tex]\Large\boxed{\sf{y=2x-7}}[/tex]Step-by-step explanation:
The slope formula is used to find the equation of the line that passes through the points in this problem.
SLOPE FORMULA:
[tex]\Longrightarrow: \sf{\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{RISE}{RUN} }[/tex]
y₂=7y₁=5x₂=7x₁=6[tex]\Longrightarrow: \sf{\dfrac{7-5}{7-6}=\dfrac{2}{1}=2 }[/tex]
Use the slope-intercept form.
SLOPE-INTERCEPT FORM:
[tex]\Longrightarrow: \sf{Y=MX+B}[/tex]
[tex]\Longrightarrow: \text{The M represents the "slope".}[/tex]
[tex]\Longrightarrow: \text{The B represents the "y-intercept".}[/tex]
y=2x-7Therefore, the slope is 2 and the y-intercept is 7.The correct answer is y=2x-7.I hope this helps. Let me know if you have any questions.
which product is greater than 1/2
5/2x1/2
3/3x1/2
2/3x1/2
4/5x1/2
Which expression is equivalent to (-3m-2n³)²(4mn²p-4)?
Answer:
Step-by-step explanation:
(-3m-2n³)²(4mn²p-4)
= (-3m-2n³)(-3m-2n³)(4mn²p-4)
= (9m^2 +6mn^3 + 6mn^3 + 4n^6)(4mn²p-4)
= (9m^2 + 12mn^3 + 4n^6)(4mn²p-4)
= 36m^3n^2 p + 48m^2n^5 p - 36m^2 + 16mn^8 p - 48mn^3 -16 n^6
Write an equation that represents each side of the figure. Please I need help ASAP!
Below there are graphs of some inverse proportions. What function each one represent?
Answer:
y = 15/x
Step-by-step explanation:
An inverse proportion has the equation ...
y = k(1/x) . . . . k is the constant of proportionality
__
Solving for k, we find ...
k = xy
The coordinates of the given point can be used to find k:
k = (3)(5) = 15
Then the equation of the graph is ...
y = 15/x
45 miles divided by 1 hour and 45 minutes
Answer:
(45 miles) / ((1 hour) + (45 minutes)) =
11.4953143 m / s
Step-by-step explanation:
Answer:
25.71 mph
Step-by-step explanation:
45 miles in 1.75 hours
45 miles /1.75 hours = 25.71 mph
PLEASE HELP ASAP!!
Find the slope and the y-Intercept of the line.
y = 5x - 4
slope: ___
y-intercept: ___
Thank you!!
Answer:
slope: 5
y-intercept: -4
9. You are installing a swimming pool. Write a polynomial that represents the area of the walkway
8 ft width of the pool
(6x-4) ft length (of the pool)
(2x + 6) ft length of the Walk way
10x ft width of the Walk way
Answer:
(10x² +12x +32) ft²
Step-by-step explanation:
The area of the walkway around the pool is the difference between the area of the entire rectangle, and the area of the pool. The area of each rectangle is found by multiplying its length and width.
__
Overall area:
((2x +6) ft) × (10x) ft = (10x² +60x) ft²
Pool area:
((6x -4) ft) × (8 ft) = (48x -32) ft²
Walkway area:
overall area - pool area = ((10x² +60x) ft²) -((48x -32) ft²)
= (10x² +12x +32) ft²
Write a multiplication equation for the following model.
Medical assistants are to receive a 9% increase in wages per hour. If they were making $16.75 an hour, what is the new wage per hour to the nearest cent?
A percentage is a way to describe a part of a whole. The new wage per hour to the nearest cent if it is increased by 9% will be $18.26.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Given that the Medical assistants are to receive a 9% increase in wages per hour. While the current wage of Medical assistance is $16.75 an hour.
Therefore, the new wage per hour to the nearest cent will be,
New wage = Old wage + 9% of old wage
= $16.75 + 0.09($16.75)
= $18.26
Hence, the new wage per hour to the nearest cent will be $18.26.
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What expression is equivalent to 5(4x+12)+3x+2
Pythagorean Theorem
solve for the missing side round to the nearest 10th I will mark you BRAINLIEST IF ANSWEREE CORRECTLY NO LINKS IF YOU DO NOT KNOW THE ANSWER DONT COMMENT ON THIS THREAD
Answer 10
Step-by-step explanation:
its 8 when you round it to the nearest 10 its will give you 10
A random survey found that 6 of the 27 people surveyed prefer blueberry candies. Based on those results, about how many people
prefer blueberry candies from a population of 108 people?
A. 24
B. 18
C. 30
D. 12
I AM A LIL BIT CONFUSED HERE CAN SOMEBODY HELP ME
Answer:
y = x^3 - 3x^2 - 22x +24
Step-by-step explanation:
I got my information from this video, it's very helpful and I'm sure you'll understand how to do these sorts of problems after watching it.
Hope this helps :)
Find a Polynomial Function Given the Zeros and Leading Coefficient (Degree 3)
I realized I can't post the link, but that's the name of it
Find the area of the figure.
129m^2
A= bxh/2
Since I have 2 triangle I'll x 2 to get rid of the ÷ by 2
A= 13x5
= 65
A= bxh
= 8x8
=64
64 + 65= 129
Hope this helps!
What is the length of AC?
Answer:
Length of AC = 12units.
Step-by-step explanation:
[tex]\sf\large{\star Given:-}[/tex]
Hypotenuse of the triangle = [tex]\sf\pink{10\:units.}[/tex]Height of the triangle = [tex]\sf\pink{8 \: units.}[/tex][tex]\sf\large{\star To\: Find:-}[/tex]
[tex]\rightarrow[/tex] Base of the triangle.
[tex]\sf\large{\star Solution:-}[/tex]
[tex]\rightarrow[/tex]As we know that,
Pythagoras Theorem:
[tex]\sf\blue{Hypotenuse^2\:=\: Height^2+Base^2}[/tex]
So, In triangle ABD by putting the value of hypotenuse and height in this formula we get,
[tex]\rightarrow[/tex][tex]\sf{10^2\:=\: 8^2 + Base^2}[/tex]
[tex]\rightarrow[/tex][tex]\sf{100\:=\: 64 + Base^2}[/tex]
[tex]\rightarrow[/tex][tex]\sf{100-64\:=\: Base^2}[/tex]
[tex]\rightarrow[/tex][tex]\sf{36\:=\: Base^2}[/tex]
[tex]\rightarrow[/tex][tex]\sf{\sqrt{36}\:=\: Base}[/tex]
[tex]\rightarrow[/tex][tex]\sf{6\:=\: Base}[/tex]
Since, it is given that BD is the perpendicular bisector of AC so length of AC will be doubled.
Therefore, length of AC of the given triangle = [tex]\sf\purple{12units.}[/tex]
Jack wants to measure the height of a tree. He sights the top of the tree, using a mirror that is lying flat on the ground. The mirror is 36 feet from the tree, and Tom is standing 9.1 feet from the mirror, as shown in the figure. His eyes are 6 feet above the ground. How tall is the tree? Round your answer to the nearest foot.
Answer:
11t.
hope this helps you
if z 2 square equal 49 what are the solutions
z = 7, z = -7
Calculations ↓z² = 49
Take the square root of both sides to find what z equals
z = 7
Is that the only solution? Is 7 the only number that can be multiplied by itself and have a result of 49? No, there's another number. This number is -7.
So the solutions are ↓7, -7
hope helpful ~
shift up 5 units
shift down 5 units
shift right 5 units
shift left 5 units
Answer:
The answer is shift up 5 units.
Help pls I’m literally so confused TvT
[tex]x^2 -3x -70\\\\=x^2 -10x +7x -70\\\\=x(x-10)+7(x-10)\\\\=(x+7)(x-10)[/tex]
Answer:
(x - 10)(x + 7).
Step-by-step explanation:
This is a quadratic expression and the factors are of the form (x + a)(x + b).
We have x^2 - 3x - 70.
- to find the values of a and b in this expression we need 2 numbers whose product is -70 and whose sum is -3.
They are -10 and +7 , so the factors are:
(x - 10)(x + 7).
Teddy says the triangle below cannot be classified because all the sides are different lengths instead correct explain why or why not
If the triangle has all sides of different lengths, then the triangle is considered scalene, which means it can be classified.
There isn't enough info to know if the triangle is acute, right, or obtuse.
Which graph corresponds to the
equation y = –2x + 3?
A.
B.
C.
D.
[tex]\frac{2}{1}[/tex]Answer: A.
Step-by-step explanation:
The first graph has a slope of -2/1 (down 2 and over 1). It also has a y-intercept of 3, meaning it crosses the y-axis or vertical axis at 3.
Tiffany was helping her mom cook if they started at 2:30 and it took 2 hours and 45 minutes what time will it be done?
Answer:5:15
Step-by-step explanation:
2:30+2 hour=4:30
4:30+45=5:15
4. A backyard pond has 12 sunfish and 30 rainbow shiners. Write the ratio of sunfish to rainbow shiners?
Answer:
the ratio for the 12 sunfish and the 30 rainbow shiners is 12:30
Step-by-step explanation:
umm i think