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.
yd²
Right triangular prism. Each base is a triangle whose legs are 13 in, 13 in, and 24 in. The height of the triangles is 5 in. The prism is oriented so that the side labeled 24 in is on the bottom. The distance between the bases is labeled 12 in.
Answers
Answer:
The answer is 7.2
The surface area of the actual ramp, including the underside is 16.8 ft²
H1 = 1.2 feet (height of the actual ramp)
and, H2 = 6 cm (height of the model)
The scale factor (k) is:
k = 1.2 feet / 6 cm
k = 0.2 ft/cm
The actual measurements would be:
16cm = 16 cm x 0.2 ft/cm = 3.2 ft
and, 9 cm = 9 cm x 0.2 ft/cm = 1.8 ft,
and, 10 cm = 10 cm x 0.2 ft/cm = 2 ft,
So, the surface area is
Area = 2(0.5 x 3.2 ft x 1.2 ft) + 2(2 ft x 1.8 ft) + (1.8 ft x 3.2 ft)
Area = 16.8 ft²
Hence, the surface area of the actual ramp is 16.8 ft²
Learn more about surface areas here:
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Related Questions
Vicki started jogging. The first time she ran, she ran mile. The second time, she ran mile, and the 516 58 15 16 third time, she ran 16 mile. If she continued this pattern, when was the first time she ran more than 1 mile? Complete the explanation Express the fraction as a mixed number in simplest form. mile(s) every new time she ran. Therefore, the ? time, Vicki had a pastem of adding she ran milles
Answers
Answer:
Afar fom what i've got from another question on Brainly. I might be wrong but It could Possibly be The 6th Time Vicki Runs!
Step-by-step explanation:
I apologise if this isnt the answer..............
Which term best describes vthe figure shown below
Answers
Answer:
Line LM
Step-by-step explanation:
A ray has a point at one end, this figure does not.
A line goes out forever in both ends, this is shown by the two arrows. Line LM describes this figure.
Points LM are going to be two separate points, this figure does not have points.
Plane LM will have three points to show a plane, this is a single line.
Using these definitions and facts we know, we can figure out this is best described as Line LM.
solve step by step
1/x-1+1/y-2=1
3/x-1+5/y-2=4
Answers
Solve | x - 6 | = 8
A: x = 14 and x = -14
B: x = 14 and x = -2
C: x = -14 and x = -2
D: x = -14 and x = 2
Answers
Answer:
B
Step-by-step explanation:
Answer:
x=-2 or x=14
Step-by-step explanation:
since it's absolute value, this actually has two equations:
x-6=8
and
x-6=-8
we solve x-6=8 by adding 6 to both sides which equals x=14
we solve x-6=-8 by also adding 6 to both sides which equals x= -8+6= -2
I hope this helps! and please mark brainliest!
what is the interquartile rang of the following data set? 9,30,2,48,42,18,81,5,55,73,11
Answers
Divide.
4^2.4^6
O 4-3
O 4^3
O 4-4
O 4^4
The answer is C, 4^4
Answers
Step-by-step explanation:
no, the answer is definitely NOT 4⁴.
4² is smaller than 4⁶, right ?
so, 4²/4⁶ must be smaller than 1.
remember, what we do with exponents when we multiply terms ? we add the exponents.
like 4²×4⁶ = 4⁸
and when we divide terms ? we subtract the exponents.
4²/4⁶ =
[tex] {4}^{ - 4} [/tex]
because 2 - 6 = -4
A barn is shaped like a rectangular prism with a triangular prism on top as shown. The exterior four walls and two triangular faces need to be repainted. If one gallon of paint covers 232 square feet, how many gallons will it take to repaint the barn? Enter your answer in the box.
Answers
Answer:
23 gallons
Step-by-step explanation:
Given:
A barn is shaped like a rectangular prism with a triangular prism on top as shown.
The exterior four walls and two triangular faces need to be repainted.
To Find:
If one gallon of paint covers 232 square feet, how many gallons will it take to repaint the barn?
Solve:
[tex]12\cdot38\div2\cdot2+84\cdot20+38\cdot20\cdot2[/tex]
= [tex]5336\;square\;feet[/tex]
[tex]\frac{5336}{232}=23[/tex]
Hence 23 gallons to repaint the barn
~lenvy~
please answer! i need it as its important thank you.
Answers
9y-1/2(4y+20)
1.) Distribute the -1/2 into (4y+20).
9y-2y-10
2.) Combine like terms.
7y-10
3.) Final solution!
7y-10
For the second problem, the answer(s) are solutions A & B.
Solution C cannot be correct because the it does not follow linear algebraic rules (PEMDAS). Solution D is also incorrect because the subtraction sign and division sign change, which does not follow any linear algebraic rules (PEMDAS).
529 as a desmil number
Answers
Answer:
529.000
Step-by-step explanation:
A decimal number is a number whose whole number and fraction part are separated by a decimal point.
529 represented as a decimal is 529.000
Also, you can add as many zeros as you want behind the decimal point.
Please pick as brainliest!
This question is worth 100 points if you get this right.
Answers
Answer:
7 nights
Step-by-step explanation:
If he does 1/3 every night then you must turn 2 1/3 into a mixed fraction.
7/3
Then divide.
7/3 by 1/3
your answer is 7/1 or just 7 nights
Just divide
No of nights
2-1/3 ÷1/37/3÷1/37/3×37nightsHe need 7 nights
Please help!!!
What is the value of y?
60
45
2V2
Enter your answer, as an exact value in the box
y =
Answers
Answer:
Step-by-step explanation:
Ratio of sides of 45-45-90 triangle = x : x : x√2
x√2 is the side opposite to angle 90
So, from the picture,
x√2 = 2√2
x = [tex]\frac{2\sqrt{2}}{\sqrt{2}}[/tex]
x = 2
Ratio of sides of 30-60-90 tirangle = a : 2a : a√3
Short side that is oppoiste to 30° = a
Side opposite to 60° = a√3
Hypotenuse (oppoiste to 90°) = 2a
a = 2
y =a√3
y = 2√3
In which number is the value of the 7 ten times the value of the 7 in the number 17,862
Answers
Answer:
Your answer would require a 7 in the hundreds place
Step-by-step explanation:
Find the value of x. AB=20 BC=6 CD=8
Answers
Step-by-step explanation:
there is the rule
outside length × (outside length + inside length) is the same for all lines originating from the same point.
so, we have
CD(CD + x) = BC(BC + AB) = 6(6+20) = 6×26 = 156
8(8 + x) = 156
8 + x = 19.5
x = 11.5
You are calculating the volume of a box which has a width ofx inches, a
length 1 inch less than the width, and a height 2 inches less than the width.
What is the end behavior of the polynomial function that models the volume
as a function of x?
and down
C. down and down
B. down and up
D. up and up
А. up
Answers
Using limits, it is found that the end behavior of the polynomial function for the volume of the rectangular box is:
B. down and up.
What is the volume of a rectangular prism?The volume of a rectangular prism of length l, width w and heigth h is given by:
V = lwh.
In this problem, we have that the dimensions are given by:
w = x.l = x - 1.h = x - 2.Hence the volume is given by:
[tex]V = x(x - 1)(x - 2) = x(x^2 - 3x + 2) = x^3 - 3x^2 + 2x[/tex]
What is the end behavior of a function?It is given by it's limits as x goes to infinity.
Hence:
[tex]\lim_{x \rightarrow -\infty} V(x) = \lim_{x \rightarrow -\infty} x^3 - 3x^2 + 2x = \lim_{x \rightarrow -\infty} x^3 = -\infty[/tex]
[tex]\lim_{x \rightarrow \infty} V(x) = \lim_{x \rightarrow \infty} x^3 - 3x^2 + 2x = \lim_{x \rightarrow \infty} x^3 = \infty[/tex]
Which means that option B is correct.
More can be learned about limits at brainly.com/question/22026723
giving brainliest+50 points!!
What is the five-number summary of this data set?
{852, 687, 515, 986, 907, 784, 967, 685, 965}
Drag the numbers into the boxes to correctly complete the five-number summary.
Minimum
Q1
Q2
Q3
Maximum
Answers
Answer:
the 852 is the perfect fit q3
Step-by-step explanation:
The five-number summary of this data set are minimum is 515, maximum value is 986, Q₁ is 686, Q₂ is 852 and Q₃ is 966.
What is Median?Median of a data set is the element in the middle if the data are arranged in increasing or decreasing order. It is also called second quartile.
Given data set is,
{852, 687, 515, 986, 907, 784, 967, 685, 965}
Arrange this in ascending order first.
{515, 685, 687, 784, 852, 907, 965, 967, 986}
Minimum value = 515
Maximum value = 986
First we have to find the median or the second quartile.
Second quartile, Q₂ = Middle element of the set
Q₂ = 5th element = 852
First quartile = 1/4 (n + 1)th element = 1/4 (9 + 1) = 2.5 th element
Q₁ = (685 + 687) / 2 = 686
Third quartile = 3/4(n + 1)th element = 3/4 (9 + 1) = 7.5th element
Q₃ = (965 + 967) / 2 = 966
Hence the five-number summary of this data set are found.
Learn more about five-number summary here :
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The lengths of the legs of a right triangle are 4 and 5. What is the length
of the hypotenuse
Answers
Answer:
[tex] \sqrt{41} [/tex]
Step-by-step explanation:
[tex]let \: the \: hypothenuse =\: x \\ by \: pythagoras \: theorem \\ x {}^{2} = 4 {}^{2} + 5 {}^{2} \\ x {}^{2} = 16 + 25 \\ x {}^{2} = 41 \\ sqare \: root \: bothsides \\( \sqrt{x}) {}^{2} = \sqrt{41} \\ x = \sqrt{41} \\ lenght \: of \: the \: hypothenus = \sqrt{41} [/tex]
A cylinder has a diameter of 10 inches and a height of 14 inches. what is the volume of the cylinder? use 3.14 for pi?
_______cubic inches
Answers
Answer:
Volume of cylinder is 1099 in³[tex]\\[/tex]
Step-by-step explanation:
[tex]\\[/tex]
Diameter of cylinder = 10 inchesHeight of cylinder = 14 inches[tex]\\[/tex]
We know that,
[tex]\dashrightarrow \sf \: \: Radius = \dfrac{Diameter}{2} \\ \\[/tex]
[tex]\dashrightarrow \sf \: \: Radius = \dfrac{10}{2} \\ \\ [/tex]
[tex]\dashrightarrow \sf \: \: { \underline { \boxed{ \pmb{ \sf{ \pink{ Radius = 5 \: inches}}}}}} \\ \\ [/tex]
Using formula:
[tex] \: \: \: \: \: \: {\underline{\boxed{\pmb{\sf{Volume \: of \: cylinder = \pi r^2h}}}}} \: \pink\star \\ \\ [/tex]
Where,
r is radius of the cylinderh is height of the cylinderπ = 3.14[tex]\\[/tex]
Substituting the required values in the formula:
[tex]\dashrightarrow \sf \: \: Volume = 3.14 × (5)^2 × 14 \\ \\ [/tex]
[tex]\dashrightarrow \sf \: \: Volume = 3.14 \times 25 \times 14 \\ \\ [/tex]
[tex]\dashrightarrow \sf \: \: Volume = 78.5 \times 14 \\ \\ [/tex]
[tex]\dashrightarrow \sf \: \: { \underline{\boxed { \pmb{ \sf{ \pink{Volume = 1099 \: {in}^{3} }}}}}} \\ \\ [/tex]
Hence,
Volume of the cylinder is 1099 in³What is the domain for the following function?
y=-x+1
x²+x-6
X-
O A. {X-1
O B. (x*-3
O c. {# -3;x # 2)
OD. x+0)
Answers
Help picture below problem 12
Answers
180 - 35 - 90 = 55
The answer is 55 degrees
what should be the rate of interest to earn an 45000 as interest wale rupees 50000 easy in investment for 6 year
Answers
Answer:
5
Step-by-step explanation:
In the United States we measure fuel economy in miles per gallon. At the beginning of a trip a car's odometer read 23,450 miles, and the fuel tank was full. At 23,742 miles the fuel tank was refilled with 9.87 gallons of gas. Estimate the number of miles per gallon the car averaged on that portion of the trip.
Answers
Answer:
About 30 miles per gallon of gas
Step by step:
First you subtract 23,742 - 23,450
and then you divide it by 9.87 and then you round
6. In June, Clarissa used 1 gigabytes
of data on her cell phone. Given that
June has 30 days, how much data did
she use on average per day?
Answers
Answer:
33.33 megabytes per day on average.
Step-by-step explanation:
If 30 days = 1 Gb
Then 1 day = 1/30 = 0.033333GB
0.033333GB = 33.333 MB
Hence she used 33.333MB each day
Fourth Grade
Memory Jogger Week 5 I need helppppp
Answers
Answer:
I can help you what you need help with
Step-by-step explanation:
The length of a rectangle is 3 m more than twice the width, and the area of the rectangle is 54 mº. Find the dimensions of the rectangle.
Answers
Answer:
The dimensions of rectangle are 12 m and 4.5 mStep-by-step explanation:
Given that, The length of a rectangle is 3 m more than twice the width, and the area of the rectangle is 54 m²
Let's assume width of rectangle be x m and length be 3 + 2x m respectively. To find the dimensions of the rectangle we will use the formula of Perimeter of rectangle
[tex] \\ { \underline{ \boxed{ \pmb{ \sf{ \purple{Area _{(rectangle)} = Length × width}}}}}} \\ \\ [/tex]
Substituting values in above formula:
[tex] \\ \dashrightarrow \sf \: \: (3 + 2x)(x) = 54 \\[/tex]
[tex]\dashrightarrow \sf \: \: 3x + 2x^2 = 54 \\ [/tex]
[tex]\dashrightarrow \sf \: \: - 54 + 3x + 2x^2 = 0 \\ [/tex]
[tex]\dashrightarrow \sf \: \: 2x^2 + 3x - 54 = 0\\ [/tex]
[tex]\dashrightarrow \sf \: \: 2x^2 + 12x - 9x - 54 = 0\: [/tex]
[tex]\dashrightarrow \sf \: \: 2x(x + 6) -9(x + 6) = 0\\ [/tex]
[tex]\dashrightarrow \sf \: \: (2x -9)(x+6) = 0 \\ [/tex]
[tex]\sf{x=}{\sf{\dfrac{9}{2}}}{\sf{\: or\: -6}} [/tex]
[tex]\dashrightarrow \: \: { \underline{ \boxed{ \pmb{ \sf{\purple{ x = 4.5 }}}}}}[/tex]
Hence,
Length of rectangle = 3 + 2x = 3 + 2(4.5) = 12 mWidth of the rectangle = x = 4.5m[tex] \\ { \underline{ \pmb{ \frak{ \therefore Length \: and \: width \: of \: the \: rectangle \: is \:12 \: m \: and \: 4.5 \: m}}}} \\ [/tex]
Answer:
The dimensions of rectangle are 12 m and 4.5 mStep-by-step explanation:
Given :-
The length of a rectangle is 3 m more than twice the width the area of the rectangle is 54 m²To find :-
Dimensions of rectangleSolution:-
According to the question ,
Let the width of rectangle be x and length of rectangle be 2x+3 m
Area of rectangle :- L×B
L×B = 54m²
(2x+3) * x = 54m²
x = 4.5 m
By putting the value of x , we get
Length :- 2x+3 = 12 m
Width :- 4.5 m
Kiara and Mia went to a county fair. They each paid the same admission fee but they were in a different number of rides. Each ride costs the same the total amount they each spent is shown in the table
Answers
let's take admission fee= z
8z+11z=17.50+21.25
19z=38.75
z=38.25/19
z=2.4 (aprox)
Or In case of Kiara 17.50 amount paid in 8 rides
.so 1 ride=17.50/8
=2.1875
same In case of mia
so 1 ride=21.25/11
=1.9318.
but, they are not match so there is problem in your Questions.
Find the measures of the interior angles?
Answers
Answer:
Angle C = 35
Step-by-step explanation:
Angles A and B are already given to you, so I will not be explaining how to find them. If you have any questions, let me know.
There are 2 ways to solve this problem; you can either use the sum of the interior angles or isosceles triangles.
Sum of Interior Angles
The interior angles of all triangles equal 180 degrees. We can use this information to create an equation.
First, set up the equation.[tex]110+35+x=180[/tex]Then, combine like terms.[tex]145+x=180[/tex]Next, subtract 145 from both sides[tex]x=35[/tex]This means that angle C equals 35 degrees.
Isosceles Triangles
The image shows marks on 2 sides. These marks show that the sides are congruent. If a triangle has 2 congruent sides then it is isosceles. Isosceles always have 2 congruent angles as well. In addition, these congruent angles are always the angles opposite of the congruent sides.
In this case, the angles opposite of the congruent sides are angle A and angle C. Thus, angles A and C are congruent. If angle A is equal to 35, then angle C must also be 35.
Answer my question #4
Answers
Answer:
11. 432,500 12. KF & ND
Step-by-step explanation:
11.
80,000 + 75,000 + 105,000 + 82,500 + 90, 000 = 432,500 people
( it says "about" so it doesn't have to be exact but a reasonable guess)
12. The two stadiums most similar in attendance is Kyle Field and Notre Dame
Select the correct answer from each drop-down menu.
On the day the link was emailed, trailer
Two days after the link was emailed, trailer
Four days after the link was emailed, trailer
had the most views.
had the most views.
had the most views.
Answers
Answer:
k
[tex]2xyy15 { { \div - \\ \sqrt[ {x. - - {?}^{?} }^{2} ]{?} }^{2} }^{2} [/tex]
Answer:
On the day the link was emailed, trailer
A
had the most views.
Two days after the link was emailed, trailer
A
had the most views.
Four days after the link was emailed, trailer
B
had the most views.
Step-by-step explanation:
The total number of views on the day the email was sent, two days later, and four days later are represented by the values of the functions when x = 0, 2, and 4.
Substitute these values into the equation:
Find these values in the table:
Apply the described rule:
So, on the day the link was emailed, trailer A had the most views.
Two days after the link was emailed, trailer A had the most views.
Four days after the link was emailed, trailer B had the most views.
7. A cylindrical tank can hold 2279.64 cubic feet of water. The radius of the tank is 11 feet. What is the height of the tank?
Answers
Answer:
r = 8.12
Step-by-step explanation:
The volume for a cylinder is V=πr^2h therefore,
v = 2279.64
h = 11ft
r = ?
2279.64 = πr^2 * 11
[tex]\frac{2279.64}{11}= {\pi r^2} \\[/tex]
207.24 = πr^2
[tex]\frac{207.24}{\pi} =r^2\\\\66 = r^2\\\\\sqrt{66} = r\\\\\\8.12 = r[/tex]
Jemima was arranging 400 packets of biscuits for a sale. She put 52 packets into a basket and displayed 25% of the remaining packets on the shelves. What percentage of all the packets of biscuits did Jemima display on the shelves?
Answers
Answer:
87% of all the packets of biscuits Jemima displayed on the shelves.
Step-by-step explanation:
400-52=348
so, 348*25%
348*25/100
87