Answers
.. 2*(1 1/3 +3) = 2*(4 1/3) = 8 2/3 . . . . feet
Then the lateral area is
.. (6 ft)*(8 2/3 ft) = (48 +4) ft^2 = 52 ft^2
The area of the top is
.. (3 ft)*(1 1/3 ft) = (3 +1) ft^2 = 4 ft^2
The total area Fran wants to paint is
.. total area = lateral area + top area
.. = (52 ft^2) + (4 ft^2) = 56 ft^2
Selection C is appropriate.
Related Questions
A right triangular prism is shown. Find (A) the total surface area and (B) the volume. You must show formulas and your work.
10m height
8m width
10.77m
Answers
We are going to use the rectangular prism of the image as a guide:
First of all, the AC segment is calculated using the Pythagoras' theorem:
[tex]AC= \sqrt{ AB^{2}+ BC^{2} } =\sqrt{ 10^{2}+ 8^{2} }=12,81 m[/tex]
(A) The surface area of a prism is the sum of the surface areas of each face.
For the 2 triangles ABC and DEF
[tex]A=2*(1/2*b*h)=2*(1/2*8m*10m)=80m[/tex]
For the ABEF Rectangle
[tex]A=w*l=10,77m*10m=107,7m^{2}[/tex]
For the ACDE Rectangle
[tex]A=w*l=10,77m*12,81m=137,96 m^{2}[/tex]
For the BCDF Rectangle
[tex]A=w*l=10,77m*8m=86,16 m^{2}[/tex]
To finish you need to sum up the areas of each face:
[tex]SA=2A_{ABC}+ A_{ABEF}+A_{ACDE}+A_{BCDF}= \\ 80 m^{2} +107,7m^{2} +137,96m^{2} +86,16m^{2} =411,82m^{2} [/tex]
(B) The volume of a prism is the product of the area of its base and the height of the prism. In this case, the base is a triangle so the formula and the calculations for the volume are as follows
[tex]V= \frac{1}{2} *w*h*l= \frac{1}{2}* 8m*10m*10,77m=430,8m^{3} [/tex]
What is the range of this dot plot? I'm stuck between the answers 8 and 9.
Answers
The range is the difference between these extremes.
.. 9 - 0 = 9
Which number is written in scientific notation? 7.8 x 10−5 0.84 x 106 3.4 x 1002 −5 x 10−12
Answers
First off what is scientific notation?
Scientific Notation is the way that scientist handle very large or very small numbers..
for example, instead of writing 0.0000000056 we write 5.6x10 (exponent -9)
So, now we got that out the way lets look up here at the choices....
I would say that 7.8x10 (exponent -5) would be the answer! :)
I hoped this helped!!!! :)))
God bless you.
need help with question 20
Answers
[tex] \frac{PV}{nt} = r_{1} +r_{2}[/tex]
Then, I would subtract the unwanted variable from the sum.
[tex] \frac{PV}{nt} -r_{2} = r_{1}[/tex]
What is the distance between points S and U?
Round to the nearest tenth of a unit.
3.3 units
6.4 units
8.1 units
12.0 units
Answers
sqrt(16 +49)
sqrt(65)
8.06
round to 8.1 units
The correct answer is C.
[tex] |SU| = 8.1units[/tex]
EXPLANATION
The given points are,
[tex]S(2,1) \: \: and \: \: U(6,8).[/tex]
We use the distance formula to determine the distance between the two points.
[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} [/tex]
We substitute the points to obtain,
[tex] |SU| = \sqrt{(6- 2) ^{2} + (8 - 1) ^{2} } [/tex]
We simplify to obtain,
[tex] |SU| = \sqrt{(4) ^{2} + (7) ^{2} } [/tex]
We further simplify this to obtain,
[tex] |SU| = \sqrt{16 + 49} [/tex]
[tex] |SU| = \sqrt{65} [/tex]
This evaluates to,
[tex] |SU| = 8.062[/tex]
We round to the nearest tenth to get,
[tex] |SU| = 8.1units[/tex]
If postage costs $.54 the 1st ounce and $.22 for each additional ounce calculate the cost of mailing a 10 ounce envelope.
A. $5.40
B. $2.20
C. $5.08
D. $2.52
Answers
A model car has a windshield with dimensions 1/18 the size of a real car windshield. They rectangular windshield of the real car has an area of about 2318 square inches, with a width of 61 inches. What are the side lengths of the model car's windshield? Round to the nearest hundredth. Justify your answer
Answers
The first step here is to figure out the missing length of the real car. We know the area is 2318 square inches, and the width is 61 inches. Since the area of a rectangle is length x width, we can find the length by doing the opposite of multiplication which is division.
2318 ÷ 61 = 38
So the dimensions of the real car windshield is 61 and 38.
Now, we have to find what 1/18 of 61 is, and what 1/18 of 38 is. We can divide 61 and 38 by 18 to find these values.
The attached image shows that division process, and how we can take it a step further to find the area of the model car windshield.
Answer:
A. 2375 inches
Step-by-step explanation:
just did it lol
rob works part time at the fallbrook riding stable. He makes $5 an hour exercising horses and $10 hour cleaning stalls. Because Rob is a full time student he can work no more than 12 hours per week. however he must make $60 per week. write a system of inequalitites
Answers
Let y be the number of hours cleaning stalls.
x + y <= 12
5x + 10y >= 60
x + 2y >= 12
At this point you might do well to graph this set of equations on Wolframalpha.com
In the meantime solve this system this way.
12 - x > y > 6 - x/2
When y =0 the x = 12.
Answer: 5x + 10y ≥ 60 ⇒ x+2y ≥ 12 .................. (i)
x + y ≤ 12 ................. (ii)
Step-by-step explanation:
Let the hours spent on exercising horse be x
Let the hours spent on cleaning stalls be y
According to question:
Rob can't work more than 12 hours. So eq. (i) will be x + y ≤ 12
Rob earns $5 an hour by exercising horses and $10 an hour cleaning stalls and he must make $60 . So eq. (ii) will be 5x + 10y ≥ 60.
Dividing eq. (ii) by 5, it will become x + 2y ≥ 12.
∴ system of inequalities are x + y ≤ 12 and x + 2y ≥ 12.
Find the next three terms of the sequence.
–6, –24, –96, –384, . . .
Answers
You multiply by 4 each time
HOPE THIS HELP!
what is the value 1/2 ×3+5.2y when x=2 and y=3
Answers
In Mr.Martinez's sixth period class, there are 8 boys and 12 girls. what is the probability of randomly selecting a girl?
Answers
Boys=8
Total students=8+12=20
Probability of girls=number of girls/total number of students=12/20=6/10=60%
Answer=60%
a) A square has an area of 121 cm^2. What is the length of each side?
b) A square has a perimeter of 28m . What is the length of each side?
Answers
x*x=121
x^2=121
x=11
The length of each side is 11
A square has equal sides. To find the perimeter, you add all the sides together.
x+x+x+x=28
4x=28
x=7
The length of each side is 7
A hollow ball is made up of rubber that is 2 centimeters thick. The ball has a radius to the outside surface of 6 centimeters. What is the approximate volume of rubber used to make the ball? Use 3.14 for pi.
a. 33.5cm^3
b. 267.9cm^3
c. 636.4cm^3
d. 994.3cm^3
Answers
The volume of rubber used to make the hollow ball is approximately 636.4 cm^3, which is calculated by subtracting the inner space volume from the total volume of the ball.
To find the volume of rubber used to make a hollow ball, we need to calculate the volume of the entire ball and then subtract the volume of the inner empty space. The ball's external radius is 6 centimeters, and the rubber thickness is 2 centimeters, which makes the inner radius 4 centimeters (6cm - 2cm).
The formula to calculate the volume of a sphere is V = (4/3)
y. Using
for pi and plugging in the numbers, we get:
(6)
= 904.32 cmVolume of the inner space (inner radius of 4cm): V = (4/3) 3.14 (4)
= 268.08 cm
To find the volume of the rubber used, we subtract the smaller volume from the larger volume:
904.32 cm - 268.08 cm = 636.24 cm
Therefore, option c. 636.4cm is the approximate volume of rubber used to make the ball.
a tyrannosaurus rex weighed about 1.4 tons more than one tenth the weight of a Patagotitan mayorum. About how much did the tyrannosaurus rex weigh?
A Patagonian mayorum was a tyrannosaur that weighed about 76 tons
Answers
You have two dinosaurs. Let's just label them as Dinasour A (the Tyrannosaurus Rex), and Dinosaur B (the Patagonian Mayorum)
Dinasoar A weighs in at 1.4 tons more than a TENTH of Dinasoar B's weight
We know that Dinosaur B weighs in at 76 tons.
A tenth means exactly what it sounds like, 10/100. If it helps, you can think of it in terms of money, where a single Dime is a TENTH of a Dollar, because it takes 10 total Dimes to make $1
So, to fine a tenth of anything, you have to divide it by 10!
76/10=7.6
7.6 is the tenth of the weight of Dino B. However, the question states that dino A weighs in at 1.4 tons MORE than a tenth, meaning addition.
So, 7.6+1.4=9
Dinosaur A, AKA the Tyrannosaurus Rex, weighs in at 9 Tons.
~Hope this helps!
The Tyrannosaurus rex weighed approximately 9 tons.
Explanation:To determine the weight of the Tyrannosaurus rex, we need to find one tenth the weight of Patagotitan mayorum, which is 76 tons. One tenth of 76 tons is 7.6 tons. We then add 1.4 tons to this, as the Tyrannosaurus rex weighs about 1.4 tons more than one tenth the weight of Patagotitan mayorum. Therefore, the weight of the Tyrannosaurus rex is approximately 9 tons.
name the quadrilateral with exactly one pair of parallel sides?
A. Kite
B. Parallelogram
C. Rhombus
D. Trapezoid
Answers
B. parallelogram
hope this helps<3
Reasoning:
A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.
I hope this helps!
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Please mark as Brainliest!
Have a wonderful day! : )
The figure shows triangle ABC and a rotation of the triangle about the origin
a. How would you describe the rotation?
b. What are the coordinates of the image?
Answers
A' is (3,1), B' is (2,3) and C' is (-1, 4)
Shauna bought a flat cardboard box
Answers
Javier bought 47 sports cards. 3/8 of them were baseball cards. How many baseball were baseball cards?
Answers
In math, "of" usually means "times."
3/8 of 48 = 3/8 * 48 = 3/8 * 48/1 = (3 * 48)/(8 * 1) = 144/8 = 18
Answer: 18 cards
Rewrite the following expression in standard form by finding common denominator and collecting like terms
Answers
The denominators of our fractions are 3, 6, and 9. 3 is already a prime, so we are going to let that one alone. 6 on the other hand is divisible by tow, so it can be decomposed into tow prime factors 2 and 3: [tex]6=(2)(3)[/tex].
9 is divisible by 3, so it can also be decomposed into tow prime factors 3 and 3: [tex]9=(3)(3)=3^{2} [/tex].
We have a common factor 3 in all our denominators, and among them the one raised to the highest power is [tex]3^{2} [/tex]. On the other hand we only have one non-common factor, 2. So, our common denominator will be:
[tex]common.denominator=(3^{2} )(2)=(9)(2)=18[/tex]
Now we know that the common denominator of our standard form fraction is 18, the only thing left is convert the denominators of each one of our fractions to 18 and simplify. To do that we are going to divide the common denominator by the denominator of each fraction, and then multiply the quotient by each one of the numerators:
[tex] \frac{2h}{3} - \frac{h}{9}+ \frac{h-4}{6} = \frac{(6)(2h)-(2)(h)+3(h-4)}{18} [/tex]
[tex] \frac{12h-2h+3h-12}{18} [/tex]
[tex] \frac{13h-12}{18} [/tex]
Answer: [tex] \frac{13h-12}{18} [/tex]
The drama club members buy 864 bags of popcorn to serve during the intermission of their play. Popcorn comes in cases of 24 bags, and they pay $18 for each case. How much did they pay for all of the popcorn
Answers
Hope this helps
Final answer:
The drama club purchased 36 cases of popcorn at $18 per case, resulting in a total cost of $648 for all the popcorn.
Explanation:
The question involves calculating the total amount spent on popcorn by the drama club, which requires some basic arithmetic and understanding of multiplication and division. To find the total cost, we first need to determine how many cases of popcorn the club bought and then multiply that number by the cost per case.
Step-by-Step Calculation
Determine the number of cases: Divide the total number of bags of popcorn (864) by the number of bags per case (24).
Calculate the total cost: Multiply the number of cases by the cost per case ($18).
Now, let's perform these steps:
Number of cases = 864 bags ÷ 24 bags/case = 36 cases
Total cost = 36 cases × $18/case = $648
Therefore, the drama club paid $648 for all the popcorn.
Is the domain {1.8,3.4,9,9.8}
{3.2,3.9,5.8,8.4,9.1}
{2.4,4.8,6.3,8.8,10.1}
{3,4.6,6.7,8.9,10.8}
Answers
.. y = 7x -2.7
.. y +2.7 = 7x
.. x = (y +2.7)/7
You are given y values of {14.1, 30.9, 41.4, 58.9, 68}. The corresponding x values are {2.4, 4.8, 6.3, 8.8, 10.1}, corresponding to selection C.
_____
Since the first number in each choice is different, you only need to evaluate f(x) for those numbers to see which gives the correct result. Only the 3rd one (2.4) give f(2.4) = 14.1, the correct answer.
which expression does not give the area of the shaded figure?
Answers
For the end-of-year party, Mt.Rise Middle School ordered 112 pizzas. There were eight fewer veggie pizzas than there were pepperoni pizzas. There were three times as many combo pizzas as pepperoni pizzas. Use the 5-D process to define a variable and write an equation for this situation. Then determine how many of each kind of pizza were ordered.
Answers
pepperoni = x
veggie = x - 8 [There were eight fewer veggie than pepperoni]
combo = 3x [There were three times as many combo as pepperoni]
Given that the total Pizza: 112
x + x - 8 + 3x = 112
5x - 8 = 112
5x = 112 + 8
5x = 120
x = 24
x= 24
x - 8 = 16
3x = 72
So there were 24 pepperoni pizza, 16 veggie pizza and 72 combo pizza
WILL GIVE 99 POINTS IF ANSWERED ASAP PLEASE
Answers
Answer:
Part A
1. Perimeter of the outside edges = 24 inches
2. One possibility is: length = 8 in. and width = 8 in.
second possibility is: length = 16 in. and width = 4 in.
3. Area of the wood portion = 11 [tex]inches^{2}[/tex]
4. New dimensions are:
Length = 17.5 ft.
Width = 12.5 ft.
Part B
Area of the picture = 24 [tex]inches^{2}[/tex]
Area of the frame = 35 [tex]inches^{2}[/tex]
Step-by-step explanation:
Part A
1. Perimeter of the outside edges = 2(length + width)
= 2(7 + 5)
= 2(12)
= 24 inches
2. If the area of the frame was 64 [tex]inches^{2}[/tex], then the two possible dimensions are:
8 × 8 and 16 × 4
i.e., one possibility is: length = 8 in. and width = 8 in.
second possibility is: length = 16 in. and width = 4 in.
3. Area of the wood portion = Area of the frame - Area of the picture
= (5 × 7) - (4 × 6)
= 35 - 24
= 11 [tex]inches^{2}[/tex]
4. The scale factor is:
1 in. = 2.5 ft.
So, its length = 7 in. = 7(2.5) = 17.5 ft.
width = 5in. = 5(2.5) = 12.5 ft.
Part B:
Length of the picture = 6in.
Width of the picture = 4 in.
Area of the picture = Length × Width
= 6 × 4
= 24 [tex]inches^{2}[/tex]
Length of the frame = 7in.
Width of the frame = 5 in.
Area of the frame = 7 × 5 = 35 [tex]inches^{2}[/tex]
Part A
1) Perimeter of the outside edges
24 inches
2) One possibility is:
length- 8 inches
and width - 8 inches
3) Area of the wood portion
= 11
4) New dimensions are:
Length - 17.5 feet
Width - 12.5 feet
Part B
Area of the picture
- 24
Area of the frame
- 35
Step-by-step explanation:
first part-
1) Perimeter of the outside edges = 2(length + width)
= 2(7 + 5)
= 2(12)
= 24 in
2) if the area of the frame was 64 then there are two possible dimensions
8 × 8 and 16 × 4
the first possibility
length = 8 inches
width = 8 inches
the second possibility
length = 16 inches
width = 4 inches
3) Area of the wood portion= Area of frame - Area of picture
= (5 × 7) - (4 × 6)
= 35 - 24
= 11
4)The scale factor
1 inches = 2.5 feet
length = 7 inches
= 7(2.5)
= 17.5 feet
width = 5 inches
= 5(2.5)
= 12.5 feet
Second part-
Length of picture
= 6 inches
Width of picture
= 4 inches
Area of the picture
(Length × Width)
= 6 × 4
= 24
Length of frame = 7 inches
Width of frame = 5 inches
Area of frame = 7 × 5 = 35
If this helped you please say thanks and mark brainliest
Which is one way to check 102 ÷ 6 = 17?
A. 105 ÷ 5 = 21
B. 105 ÷ 10 = 10.5
C. 100 ÷ 5 = 20
D. 102 ÷ 10 = 10.2
I have no idea why the answer choices have different numbers from the question. Please explain your answer to me to understand. I don't want just an answer
Answers
Solution:
102 ÷ 6 = 17
As you can see , 102 has unit digit of 2 ,it means it is divisible by 2
Sum of digits of (102) = 1 + 2 =3, it means it is divisible by 3 also.
So , if a number is divisible by 2 and 3 it means it is divisible by 6 also.
Option (A) and Option (C) are true options which are
105 ÷ 5 = 21, and 100÷5 =20
The reason being if you will look at the unit digit of 105 and 100 , it is 5 and 0. So if a number have unit digit either 5 or 0 it is divisible by 5.
A picture is 5 inches wide and 8 inches tall:
A rectangle is shown. The length of the rectangle is labeled 5 inches. The width of the rectangle is labeled 8 inches.
A photographer wants to use a scale factor of 2.5 to enlarge a picture. What will the area of the picture be after it is enlarged? (5 points)
40 in2
250 in2
100 in2
81.9 in2
Answers
Final answer:
The area of the enlarged picture will be 250 square inches, calculated by multiplying the new width and height which are scaled up by the factor of 2.5 from the original dimensions.
Explanation:
To find the area of the enlarged picture, we begin by scaling up the dimensions of the original picture using the given scale factor. The original width is 5 inches, and the original height is 8 inches. Applying a scale factor of 2.5 to both dimensions, we calculate the new dimensions as follows:
New width = 5 inches × 2.5 = 12.5 inchesNew height = 8 inches × 2.5 = 20 inchesNow, to find the area of the enlarged picture, we multiply the width by the height:
New area = New width × New height = 12.5 inches × 20 inches = 250 square inches
Therefore, the area of the picture after it is enlarged will be 250 square inches.
A rope is 72 feet long. What is the length of the rope in yards
Answers
A grasshopper coved a distance of 5 yards in 9 equal hops. How many yards did the grasshopper travel on each hop.
Answers
So you would do 5 divided by 9, which is 0.555555555555556, rounded, it would be about 0.6 yards. Hope this helps.
To calculate how many yards the grasshopper traveled on each hop, we must divide the number of yards (5) by the number of hops (9):
5 ÷ 9 = 0.5556 (Repeating decimal)
Answer:
The grasshopper traveled about 0.6 yards on each hop.
Don wrote the expression 8 less than the product of m and 10. What algebraic expression did he write? What is the value of the expression for m = 7?
Answers
10m-8
if m=7
70-8=62
if m=7
70-8=62
hope this helps
Please help me with this compound interest.
Answers
6,300 x (1+0.06) ^3=
6300 x 1.191016 =
7503.40