To create a scale diagram, determine the ratio between the length and width of the scale drawing and the actual object.
Explanation:To create a scale diagram, we need to determine the ratio between the length and width of the scale drawing and the actual object.
In this case, the length of the scale drawing is 8 inches and the actual length of the mp3 player is 4 centimeters.
So the length ratio is 8 inches / 4 centimeters = 2 inches / centimeter.
Similarly, the width ratio can be calculated as 14 inches / 7 centimeters = 2 inches / centimeter.
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In Renee's scale drawing of the mp3 player, every 1 cm of the actual mp3 player is represented by 5 cm in the scale drawing. This is calculated by comparing the actual length to the length on the drawing, converting the units to centimeters first. The scale should be consistent for both length and width.
Explanation:The question describes a situation where Renee is making a scale diagram of her mp3 player. In this case, there is a comparison between the actual size of the mp3 player and it's representation on the scale drawing. Let's use the lengths as a basis for the scale.
The length of the actual mp3 player is 4 cm and the length on the scale is 8 inches. But, to make our comparison valid, we need to make sure that both measurements are in the same unit. Now, since 1 inch is approximately 2.54 cm, our 8 inches become 8 × 2.54 = 20.32 cm.
This means Renee's scale is roughly 5 to 1 (since 20.32 divided by 4 is about 5). Therefore, every 1 cm of the actual mp3 player is represented by 5 cm in the scale drawing.
We can follow the same process for the width and verify that the scale is consistent, which it should be, but in this case, it's not necessary because we've been given that the lengths and the widths have exactly the same proportions in both the drawing and the real object.
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Find the next three terms of the sequence.
–6, –24, –96, –384, . . .
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
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
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.
If 5 pounds of broccoli cost is $12 then how much will 7 pounds of broccoli cost?
7 pounds costs $16.4 I think
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
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.
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
Shauna bought a flat cardboard box
which expression does not give the area of the shaded figure?
Describe two ways that an exterior angle of a triangle is related to one or more of the interior angles
What is the range of this dot plot? I'm stuck between the answers 8 and 9.
Evaluate m 0 - n 2 for m = 2 and n = -1.
-1
0
1
Answer:
the answer is -1
Step-by-step explanation:
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
Picking a blue shirt from a drawer with 8 blue shirts and 2 white shirts.
The probability of picking a blue shirt from the drawer is 4/5 or 0.8
The probability of picking a blue shirt from a drawer with 8 blue shirts and 2 white shirts can be calculated as follows:
Probability of picking a blue shirt = Number of blue shirts / Total number of shirts
Probability of picking a blue shirt = 8 / (8 + 2)
Probability of picking a blue shirt = 8/10
Probability of picking a blue shirt = 4/5
Therefore, the probability of picking a blue shirt from the drawer is 4/5 or 0.8.
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In the figure, lines a, b, and c are parallel and m∠4=156° . Drag and drop the correct angle measure for each angle.
Answer:
[tex]m<1=156\°[/tex]
[tex]m<2=24\°[/tex]
[tex]m<3=24\°[/tex]
[tex]m<5=156\°[/tex]
Step-by-step explanation:
Part 1) If line a is parallel to line b
then
[tex]m<1=m<4[/tex] -----> by alternate exterior angles
so
we have
[tex]m<4=156\°[/tex]
therefore
[tex]m<1=156\°[/tex]
Part 2) we know that
[tex]m<1+m<2=180\°[/tex] -----> by supplementary angles
we have
[tex]m<1=156\°[/tex]
substitute
[tex]156\°+m<2=180\°[/tex]
[tex]m<2=180\°-156\°=24\°[/tex]
Part 3) If line a is parallel to line b
then
[tex]m<3=m<2[/tex] -----> by alternate interior angles
so
we have
[tex]m<2=24\°[/tex]
therefore
[tex]m<3=24\°[/tex]
Part 4) If line b is parallel to line c
then
[tex]m<5=m<4[/tex] -----> by corresponding angles
so
we have
[tex]m<4=156\°[/tex]
therefore
[tex]m<5=156\°[/tex]
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
Plies sambedy help problem 5.
A grasshopper coved a distance of 5 yards in 9 equal hops. How many yards did the grasshopper travel on each hop.
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?
Rewrite the following expression in standard form by finding common denominator and collecting like terms
Please help me with this compound interest.
6,300 x (1+0.06) ^3=
6300 x 1.191016 =
7503.40
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
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:
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.
HELPPPPPP
Safety standards require a pool to add 3 chlorine tablets to every 2,000 gallons of water. Today, the lifeguards at Park Pool added 8 chlorine tablets to their pool's 10,000 gallons of water. How does Park Pool's chlorine compare to the safety standards?
They have less chlorine than the safety standards require.
Answer: With the help of Ratio we can compare Park Pool's chlorine to the safety standards.
Step-by-step explanation:
Since we have given that
Safety standards requires a pool to add 3 chlorine tablets to every 2,000 gallons of water.
Number of chlorine tablets = 3
Volume of water = 2000 gallons
So, Ratio will be
[tex]3:2000\\\\=1:\frac{2000}{3}\\\\=1:666.67[/tex]
Now, According to question, the lifeguards at Park Pool added 8 chlorine tablets to their pool's 10000 gallons of water.
So, Number of chlorine tablets = 8
Volume of water = 10000 gallons
So, Ratio will be
[tex]8:10000\\\\1:1250[/tex]
Hence, with the help of Ratio we can compare Park Pool's chlorine to the safety standards.
Jose creates a scale drawing of a character from one of his comic books using a scale factor of 40%. Caroline wants to use Jose’s scale drawing to create the original-size image of the comic book character. What scale factor will Caroline need to use to draw the original-size image?
250% is scale factor will Caroline need to use to draw the original-size image.
What is Scale Factor?A scale factor is a numerical value that can be used to alter the size of any geometric figure or object in relation to its original size.
To adjust the size of a figure without altering its shape, a scale factor is a number or conversion factor that is utilised. It is employed to change the size of an object.
Given:
Scale Factor= 40%
As, Jacob use the scale factor= 40%
So, the new image size
= 100 x 40/100
= 40
let Caroline use x% scale factor
then, 40x/100= 100
x= 100 x 100 /40
x= 250%
Hence, 250% is scale factor will Caroline need to use to draw the original-size image.
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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?
when 4 is added to the difference between 5 times a number and 9 the result is greater than 10 * to 4 times the number what's the number
name the quadrilateral with exactly one pair of parallel sides?
A. Kite
B. Parallelogram
C. Rhombus
D. Trapezoid
Sharon has a balance of $3,825 on her credit card. If the card has an annual rate of 20.99% how much is the finance charge for this month? $802.87 $219.96 $66.96 $20.99
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}
A rope is 72 feet long. What is the length of the rope in yards
WILL GIVE 99 POINTS IF ANSWERED ASAP PLEASE
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