A scale model of a ramp is a right triangular prism as given in this figure. in the actual ramp, the triangular base has a height of 0.5 yards. what is the surface area of the actual ramp, including the underside? enter your answer as a decimal in the box.
Answers
The surface area of the actual ramp including the underside is 16.8 ft²
The height of the actual ramp = 1.2 feet
The height of the model = 6 cm
What is the surface area of a right triangular prism?A right triangular prism is a 3-dimensional triangle with two congruent triangular faces and 3 rectangular faces that connect the triangular.
The surface area of a right triangular prism
= (Perimeter of the base × Length of the prism) + (2 × Base Area)
Scale factor = 1.2 feet / 6 cm = 0.2 ft/cm
Actual base = 16 cm × 0.2 ft/cm = 3.2 ft
convert the units
9 cm = 9 cm × 0.2 ft/cm = 1.8 ft
10 cm = 10 cm × 0.2 ft/cm = 2 ft
The surface area of a right triangular prism
= (Perimeter of the base × Length of the prism) + (2 × Base Area)
Surface area of actual ramp = 2(0.5 × 3.2 ft × 1.2 ft) + 2(2 ft × 1.8 ft) + (1.8 ft × 3.2 ft)
= 16.8 ft²
Hence, the surface area of the actual ramp including the underside is 16.8 ft²
Learn more about the area here:
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Answer:
7.2 yd² for K12
Related Questions
HELP ASAPPPP
In two sample surveys, 125 people were asked about their favorite fruit. In the first survey, 40 people chose apples, 64 chose oranges, and 21 chose bananas. In the second, 43 chose apples, 63 chose oranges, and 19 chose bananas. Marianne inferred that most people prefer oranges. Is this inference true based on the data? Explain.
Answers
Answer:
More than half of the people surveyed in each sample chose oranges as their favorite fruit. Since most people in each sample chose oranges, it is likely that oranges are the favorite fruit of the entire population.
I hope this helps you
Step-by-step explanation:
find the simple interest on $6000 invested for 8 years at 4%
Answers
Answer:
$1920.00
Step-by-step explanation:
You want to calculate the interest on $6000 at 4% interest per year after 8
year(s).
The formula we'll use for this is the simple interest formula, or:
I= P * r * t
Where:
• P is the principal amount, $6000.00.
• r is the interest rate, 4% per year, or in decimal form, 4/100=0.04.
• t is the time involved, 8.…..year(s) time periods
So, t is 8...year time periods.
To find the simple interest, we multiply 6000 x 0.04 x 8 to get that:
The interest is: $1920.00
A sum amounts Rs. 720 is divided into two parts in the ratio 3:5. How much will be the amount in second part?) Ans: Rs. 450
Answers
ATQ
[tex]\\ \rm\rightarrowtail 3x+5x=720[/tex]
[tex]\\ \rm\rightarrowtail 8x=720[/tex]
[tex]\\ \rm\rightarrowtail x=90[/tex]
Second part:-
5x=5(90)=450
Really need help, I’m trying to catch up in my math and get my marks back up before mid term..
Answers
Answer:
a) 12x + 22 b) 17[tex]x^{2}[/tex] - x
Step-by-step explanation:
Perimeter is the sum of the each side length.
The first example is a rectangle so the (4x+8) and the (2x+3) are doubled.
(4x+8) x 2 = 8x+16
(2x+3) x 2 = 4x + 6
12x+22
(6[tex]x^{2}[/tex] - 12x) + (2[tex]x^{2}[/tex] + x) + (9[tex]x^{2}[/tex] + 10x)
combine like-terms.
17[tex]x^{2}[/tex] - x
Answer:
12x + 22 for the rectangle, 17x^2 - x for the triangle
Step-by-step explanation:
The perimeter of a square/rectangle is equal to 2*width + 2*length
So for the rectangle, it would be 2*(4x + 8) + 2*(2x + 3)
This can be further simplified as 8x + 16 + 4x + 6
Which can be further simplified as 12x + 22
The perimeter of a triangle is equal to length if side one + length of side two + length of base
That would be (6x^2 - 12x) + (2x^2 + x) + (9x^2 + 10x)
Which becomes 8x^2 - 11x + (9x^2 + 10x)
17x^2 - x
Suppose that 25 students in an AP Statistics class independently do this exercise for homework and that all of their calculators are working properly. Find the probability that at least one of them makes a Type I error.
Answers
Using the binomial distribution, it is found that there is a 0.999977 = 99.9977% probability that at least one of them makes a Type I error.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem:
There are 25 students, hence n = 25.70% do not commit any error, hence 30% do and p = 0.3.The probability that at least one commits an error is given by:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{30,0}.(0.3)^{0}.(0.7)^{30} = 0.000023[/tex]
Then:
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.000023 = 0.999977[/tex]
There is a 0.999977 = 99.9977% probability that at least one of them makes a Type I error.
More can be learned about the binomial distribution at https://brainly.com/question/24863377
Find the length of the third side. If necessary, round to the nearest tenth. 12 18
Answers
Answer (assuming that the shape is a right triangle):
If looking for the hypotenuse: 21.63
If looking for one leg, given other leg is 12, and the hypotenuse is 18: 13.42
Step-by-step explanation:
Given the length of two sides of a right triangle, we can use the pythagorean theorem to find the length of the third side. The pythagorean theorem is [tex]a^{2} + b^{2} = c^{2}[/tex] or [tex]c=\sqrt{(a^{2} + b^{2})}[/tex]. Given this question, I do not know what side of the triangle the problem is looking for, I would assume the hypotenuse, so let's do that first.
[tex]c = \sqrt{(12^{2} +18^{2})} \\c = \sqrt{468} \\c = 21.63[/tex]
Or we can manipulate the equation to find different scenarios of possible legs. Such equation that can be used is [tex]a = \sqrt{c^2 - b^2}[/tex], where c is the hypotenuse.
Only one scenario is possible, with the hypotenuse being 18 because the hypotenuse cannot be less than one of the legs, or that leg basically becomes the hypotenuse because such side is the largest (12 < 18).
So our last scenario is, if we are looking for one leg, given other leg is 12, and the hypotenuse is 18.
[tex]a = \sqrt{18^2-12^2} \\a = \sqrt{180} \\a = 13.42[/tex]
These are our possible answers.
Under his cell phone plan, Justin pays a flat cost of $56 per month and $5 per gigabyte. He wants to keep his bill under $65 per month. Write and solve an inequality which can be used to determine xx, the number of gigabytes Justin can use while staying within his budget
Answers
Answer:
56 + 5xx < 65
xx < 1.8
Step-by-step explanation:
56 + 5xx < 65
subtract 56 on both sides
56 + 5xx < 65
-56 -56
5xx < 9
divide by 5 on both sides
5xx/5 < 9/5
xx < 1.8 gigabytes
7. Assume this policy has a deductible of $1,000 and a coverage limit of
$15,000. If tirere are personal property losses of $7,000 for a covered
event, which best describes how much both parties pay?*
Answers
Answer:
Insured person pays $1,000; insurance company pays $6,000
Step-by-step explanation:
Both parties pay $9000.
What is PEDMAS rule?PEDMAS rule states that the order of operation starts with the parentheses first or the calculation which is enclosed in brackets. Then the operation is performed on exponents(degree or square roots) and later we do operations on division & multiplication and at last addition and subtraction.
Policy has a deductible of $1,000 and a coverage limit of $15,000.
Tirere are personal property losses of $7,000 for a covered event
Based on the given conditions, formulate
= 1000 + 15000 - 7000
= 16000 - 7000
= 9000
Both parties pay $9000.
Find out more information about the PEDMAS rule here:
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#SPJ2
Is ABC~ DEF? If so, identify the similarity postulate or theorem that applies.
Answers
Answer:
a
Step-by-step explanation:
i hope it helps
*correct me if im wrong
What quadrilateral always has 4 congruent angles and opposite sides that are congruent and parallel? Please answer it correctly.
Answers
Answer:
Square
Step-by-step explanation:
Requirements that make a square, a square;
Four sidesCongruent angles (all 90°)Opposite sides are congruent/the same.Opposite sides are also parallel because the lines of a square do not intersect.Answer:
Square
Explanation:
A square has four congruent angles as each angle measure is 90°. A square can never have an angle other than 90°. A square also has all four equal sides, and its opposite side lengths are parallel because all angles of a square must be 90°.
Please look at attached image for reference.
Work out the bearing of B from A.
Answers
Answer:
The bearing of B from A is 335 Degrees
Step-by-step explanation:
Measure bearings clockwise.
Bearings are measured from the North line.
There are 25 degrees between B and North.
360 Degrees in a circle.
360 - 25 = 335
PLEASEEE HELP LOOK AT PICTURE!!!
Answers
Answer:
a 64/3
Step-by-step explanation:
4^3 * 1/3 = 64/3
f(x) = 3x - 2x - 5
Factoring quadratics
Answers
Answer:
[tex](3x -5)(x+1)[/tex]
Step-by-step explanation:
Factoring [tex]3x^{2} -2x-5=0[/tex] results in [tex](3x -5)(x+1)[/tex]
Work out the coordinates of the midpoint of MN.
M (-5, 3) N(7, -8)
Answers
Answer:
(1, - 2.5 )
Step-by-step explanation:
given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
here (x₁, y₁ ) = (M (- 5, 3 ) and (x₂, y₂ ) = N (7, - 8 ) , then
midpoint = ( [tex]\frac{-5+7}{2}[/tex] , [tex]\frac{3-8}{2}[/tex] ) = ( [tex]\frac{2}{2}[/tex] , [tex]\frac{-5}{2}[/tex] ) = ( 1, - 2.5 )
A triangle has side lengths of (5h – 4k) centimeters, (10h + 7m) centimeters, and
(5m – 2k) centimeters. which expression represents the perimeter, in centimeters,
of the triangle?
Answers
A mathematical expression which best represents the perimeter of this triangle is (15h - 6k + 12m) centimeters.
Given the following data:
Length A = (5h – 4k) centimeters
Length B = (10h + 7m) centimeters
Length C = (5m – 2k) centimeters.
What is a triangle?A triangle can be defined as a two-dimensional shape that comprises three (3) sides, three (3) vertices and three (3) angles.
How to calculate the perimeter of a triangle.Mathematically, the perimeter of a triangle is given by this formula:
[tex]P=A+B+C[/tex]
Where:
A, B, and C are length of sides.Substituting the given parameters into the formula, we have;
[tex]P=(5h - 4k) +(10h + 7m) +(5m - 2k)\\\\P=5h+10h-4k-2k+7m+5m\\\\P=(15h-6k+12m)\;centimeters[/tex]
Read more on perimeter of a triangle here: https://brainly.com/question/24382052
Mya is redecorating her bedroom. The room is in the shape of right rectangular prism. The dimensions of the room are: 12 feet in length by 14 feet in width by 8 feet in height. She plans to cover the floor with tile. The cost of the tile is $4 per square foot. She plans to cover the walls and the ceiling with paint. Each container of paint costs $16 and can cover 146 ft². What is the total cost of the tile flooring and paint needed for this room? Drag and drop the responses to correctly complete these sentences.
Answers
Answer:i took the test and this was my answer. goodluck mate :)
Step-by-step explanation:
You find a ring at a garage sale and purchase it for $2. Explain how you could use a simple balance and graduated cylinder to determine if it is made of gold or if it’s a fake.
Answers
Density of water is 1000kg/m^3
Gold should sink downIf yes then it's pure goldBelow are two parallel lines with a third line intersecting them.
(Please help T-T)
Answers
Answer:
x = 136
Step-by-step explanation:
44 + x = 180
x = 180 - 44
x = 136
Point X is located at 11 on the number line. Point Y is 5 less than point X. Where on the number line is point Y?
Answers
Answer:
6
Step-by-step explanation:
If you draw out a number line, and a little tick for each number, X will be on the 11 mark (I'll try to do a little thing here)
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
The 11 is where X is
The question says that point Y is 5 LESS than point X, so we want to go down 5 numbers.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16f
(6 is 5 less than 11)
So the point Y will be on the 6
This year Heather watched 20 movies. She thought that 9 of them were very good. Of the movies she watched, what percentage did she rate as very good?
Answers
Answer:
45%
Step-by-step explanation:
PLEASE MARK ME AS BRAINLIEST I REALLY WANT TO LEVEL UP
The values in the table below represent function B, which is linear function (-3,-7) (-1,-1) (1,5) (3,11)
Answers
Answer:
I don't see the picture of the problem
Can I pleae get some help i dont get it
Answers
Answer:
Step-by-step explanation:
Initial value ( y - value) for Function A is 12.
For B its 3(-1) + 2 = -1 so the answer is Function A.
Answer:
Find 'Function A's linear equation by using point-slope formula;
y - y1 = m(x - x1)Where y1 = your first y-coordinate in any pair, and x1 = your first x-coordinate in the following pair used for the y-coordinate, and lastly m = slope.
But, we do not have the slope so we use the formula to find the slope(rise/run) of any two random points;
y2(second y-coordinate) - y1(first y-coordinate)
______________________________________
x2(second x-coordinate) - x1(first x-coordinate)
We plug in these values using any two ordered pairs, so I'll just use (-1,12) and (0,8).
12 - 8 4
_____ = ______ = -4/1 or -4 is the slope, so now we utilize this slope into
-1 - 0 -1
our point slope formula:-
y - y1 = m(x - x1)
For this, we just use one arbitrary pair, I'll use (-1,12).
So,
y - 12 = -4(x - (-1))
simplify
y - 12 = -4x - 4
isolate y by adding 12 to both sides (inverse operation of subtraction is addition)
+12 +12
y = -4x + 8, is the function for A.
Now let's compare the y-intercepts of both of these functions because we want to see which one has the greatest initial value.
Function A: y = -4x + 8, 8 is the y-intercept in this case.
Function B: y = 3x + 2, 2 is the y-intercept in this case.
Compare;
8 > 2, therefore Function A has a greater initial value.
whats the value of x+26
Answers
Answer:x = 154°
Step-by-step explanation:
The central angle and the angle between the tangents are supplementary, so
x + 26° = 180° ( subtract 26° from both sides )
x = 154°
Answer: 154 degrees
Step-by-step explanation: subtract 180 from 26 To get it .
How can you best describe a stop sign using polygons? the sign has sides, so it is . it appears to be because the sides and angles appear to be congruent.
Answers
A polygon is a two-dimensional closed object. The polygon that best describes a stop sign is a regular octagon.
What is a polygon?A polygon is a two-dimensional closed object with n number of straight sides that is flat or planar and the value of n is always greater than 2 (n>2).
What is an octagon?An octagon is a polygon that has 8 number of sides.
As we know that a stop sign has 8 sides, therefore, the polygon that is in the shape of the stop sign is an octagon.
An octagon has 8 sides, and as it is mentioned in the problem that sides and angles appear to be congruent, therefore, the polygon must be a regular polygon.
Hence, the polygon that best describes a stop sign is a regular octagon.
Learn more about Polygon:
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Answer:
8, an octagon, regular
Step-by-step explanation:
on e2020
x^2-x-2=0 as a complete square
Answers
Answer:
[tex]x_1=2; x_2=-1[/tex]
Step-by-step explanation:
The square term is [tex]x^2[/tex] so we expect the complete square to be of the form [tex](x-a) ^2=x^2+2ax+a^2[/tex].
Let's compare the first degree terms now: we have [tex]2ax[/tex] on one side and [tex]-1x[/tex] on the other. That would make [tex]a=- \frac12[/tex]. At this point we have still the second squared term, so we add and subtract [tex]\frac14 = (\frac12)^2[/tex]
Our equation becomes:
[tex]x^2-x+\frac14 -\frac14-2 =0\\(x-\frac12)^2-\frac94=0[/tex]
(the [tex]\frac94[/tex] term comes from rewriting [tex]2= \frac84[/tex] and adding the terms out of the bracket).
At this point it's just solving the equation:
[tex](x-\frac12)^2 = \frac94 \rightarrow x-\frac12=\pm\frac32\\x=\frac12\pm\frac32\\x_1=\frac42 = 2; x_2=\fra-\frac22=-1[/tex]
2. Victor Larson had fixed costs totaling $2,805.60 last year, not
including depreciation. His variable costs totaled $1,870.40. His
3-year-old automobile cost $24,890.00 new and is now worth
$12,290.00. Larson drove his vehicle 16,700 miles last year. What
was his depreciation? What was his cost per mile?
Answers
The depreciation of the car is $12,600.
The cost of the car per mile is $0.28
What is the depreciation of the car?Depreciation is the decline in the value of an asset as a result of wear and tear.
Depreciation = cost of the asset - value of the asset now
$24,890 - $12,290 = $12600
What is the cost per mile?
Cost per mile = total cost / total mile
($2,805.60 + $1,870.40) / 16700 = $0.28
To learn more about depreciation, please check: https://brainly.com/question/25552427
I CANT FIGURE THIS OUT I NEED HELP
Solve and graph the inequality:
[tex]-1/2x + 8\geq 6[/tex]
Answers
Answer:
[tex]x\leq 4[/tex]
Step-by-step explanation:
Given:
[tex]-\frac{1}{2}x+8\ge 6[/tex]
Solve:
[tex]\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}[/tex]
[tex]-\frac{1}{2}x+8-8\ge \:6-8[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]-\frac{1}{2}x\ge \:-2[/tex]
[tex]Multiply\:both\:sides\:by\:-1[/tex]
[tex]\left(-\frac{1}{2}x\right)\left(-1\right)\le \left(-2\right)\left(-1\right)[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]\frac{1}{2}x\le \:2[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}2[/tex]
[tex]2\cdot \frac{1}{2}x\le \:2\cdot \:2[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]x\leq 4[/tex]
[tex]\mathrm{Therefore,}[/tex]
[tex]\begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:4\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:4]\end{bmatrix}[/tex]
~lenvy~
Larry earns $5.25 per hour helping his neighbor. Last month he earned $220.50. How many
hours did Larry work?
Answers
Explanation: If he earns $5.25/ hr you would divide the amount of money he earned by 5.25 which equals 42. By doing this you are finding out how many times 5.25 (how much he makes in ONE hour) goes into 220.50 therefore finding out how many hours he worked.
The function f(x)=4x^(5)-2x^(3)+8x is:
Answers
Answer:
C. Odd
Step-by-step explanation:
If you reflect this function across the y-axis it is not symmetrical, therefore it is not an even function
But, if you rotate this function by 180 degrees, it is unchanged, therefore it is and odd function
Can someone help me with this
Answers
Answer:
NO, but I know who can
Step-by-step explanation: