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.
Learn more about scale factor here:
https://brainly.com/question/29464385
#SPJ5
Plies sambedy help problem 5.
Martha tries to exercise at least 30 minutes eac day write an inequality to represent the number of minutes Martha exercises each day
Cassandra ordered sandwich platters for a party. There were 6 different kinds of sandwiches with 5 of each kind on a platter. Cassandra ordered 5 platters in all. Part A. What is the total number of sandwiches Cassandra ordered? Explain in detail.
Part B. Each platter was shared equally by 10 guests. Cassandra says each guest will get 15 sandwiches. Is Cassandra Correct ? Explain. How many sandwiches will each guest get?
10:10 - 6:20 =
WITH REGROUPING
Which are equivalent ratios to 4:9?
Check all that are true.
9:28
20:45
12:27
4:24
8:18
Final answer:
The equivalent ratios to 4:9 are 20:45, 12:27, and 8:18 because they all simplify proportionally to 4:9.
Explanation:
To determine which of the given ratios are equivalent to 4:9, we need to have ratios that can be simplified to 4:9 or for which 4:9 can be scaled up proportionally. We check each given ratio by either simplifying it or finding a common multiplier that would lead us back to 4:9.
9:28 is not equivalent because it does not simplify to 4:9 or scale from 4:9.20:45 simplifies to 4:9 when both numbers are divided by 5.12:27 simplifies to 4:9 when both numbers are divided by 3.4:24 is not equivalent because it simplifies to 1:6, not 4:9.8:18 simplifies to 4:9 when both numbers are divided by 2.Therefore, 20:45, 12:27, and 8:18 are equivalent ratios to 4:9.
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]
John is constructing a triangle with two sides 5 cm and 7 cm and the included angle is 70°. First, John draws a 5 cm segment on his paper. He is not sure how to construct the 70° angle. What should he do?
If 5 pounds of broccoli cost is $12 then how much will 7 pounds of broccoli cost?
7 pounds costs $16.4 I think
Describe two ways that an exterior angle of a triangle is related to one or more of the interior angles
Find the slope of a ski run that descends 15 feet for every horizontal change of 24 feet. *Make sure to look at the sign of the slope and include in your answer. Positive or negative? Please help me quick
Answer:
15/24 i think'
Step-by-step explanation:
How can you determine if a piece-wise relation is a function?
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
23=30-g;6,7,8 what is the solution
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.
A boy flying a kite lets out 150 feet of string that makes an angle of 64 degrees w/ the ground if the stringforms a straight line how high is the kite above the ground
The height of the kite above the ground is approximately 134.82 feet.
To find the height of the kite above the ground, we can use trigonometry. The string of the kite forms a right triangle with the height of the kite as the vertical side and the length of the string as the hypotenuse. We can use the sine function to find the height. sine(64°) = height/150. Rearranging the equation, we get height = 150 * sine(64°).
Using a calculator, we find that sine(64°) ≈ 0.8988. Therefore, height ≈ 150 * 0.8988 ≈ 134.82 feet.
Learn more about trigonometry here:https://brainly.com/question/11016599
#SPJ11
Determine which of the following situations requires the distributive property in order to simplify the expression. Select all situations that apply.
x(2y)
9(x ∙ y)
9(x + y)
(7 ∙ a)(b)
(7 - a)(b)
(2 ∙ x) ∙ y
*(OML PLEASE HELP ME ON THIS IT'S DRIVING ME NUTS!)*
9(x ∙ y), the distributive property is not used because (x ∙ y) = xy which means that only one term can be multiplied by the term outside the parenthesis.
(7 ∙ a)(b), the distributive property is not used because (7 ∙ a) = 7a which means that only one term can be multiplied by the term outside the parenthesis.
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.
To learn more on probability click:
https://brainly.com/question/11234923
#SPJ2
Find the angles of the rhombus if the ratio of the angles formed by the diagonals and the sides is 4:5.
Answer: The angles are 100 degrees, and 80 degrees.
Here's an explanation:
It says that the ratio of the angles are 4:5. In a rhombus, the opposite angles are equal to each other. So, the it would be (4*2)+(5*2) = 360 degrees, since the ratio symbolizes the angle measurements. So, if you calculate that, then 18 units is 360 degrees. 4 units is 80 degrees, and 5 units is 100 degrees.
A rhombus is a quadrilateral. The angles of the rhombus are 80°, 100°, 80°, and 100°.
What is a rhombus?A rhombus is a quadrilateral such that the pair of opposite sides of the quadrilateral are parallel, and all the sides of the quadrilateral are equal.
As we know that if the ratio of the angles formed by the diagonals and the sides is 4:5, then the ratio of the angles of the rhombus is also 4:5. Also, the pair of opposite angles of a rhombus are equal to each other. Therefore, the angles of the rhombus are 4x, 5x, 4x, and 5x.
Now, as the sum of adjacent angles of a rhombus is 180. Therefore, we can write the sum as,
[tex]4x+5x=180\\\\ 9x=180\\\\x=20[/tex]
Further, the measure of the angles can be written as,
[tex]4x = 4(20) =80^o\\\\5x = 5(20) =100^o\\\\4x = 4(20) =80^o\\\\5x = 5(20) =100^o\\[/tex]
Hence, the angles of the rhombus are 80°, 100°, 80°, and 100°.
Learn more about Rhombus:
https://brainly.com/question/4165249
20 POINTS, PLZ HELP!
The circumference of a circular tabletop is 72 π inches. What is the area, in square inches, of the tabletop?
144π
5185 π
1296 π
36π
WILL MARK BRANLIEST 20 POINTS!
Evaluate m 0 - n 2 for m = 2 and n = -1.
-1
0
1
Answer:
the answer is -1
Step-by-step explanation:
Alex has 11 apples. He needs 5 apples to make 1 pie. If he has to make 5 pies how many more apples does he need
WILL GIVE THE BRAINLIEST!!!
PLEASE HELP!!!
The graph shows the payh of a rider on a ride ate the amusement park.
What does the x-coordinate of the vertex represent?
This should get you a hundred on the 4.11 quiz. :)
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
This floor has a grape juice stain. Tyler wants to cover the stain with the green carpet. Perform a series of two or more transformations to cover the stain. You must use at least two of the following types of transformation: reflection, rotation, translation, dilation.
What fraction of students prefer Mt Rushmore over Grand Canyon ? Write in simplest form ?
To find "What fraction of students prefer Mt Rushmore over Grand Canyon ?", we need to take away Grand Canyon [tex] (\frac{8}{28} ) [/tex] from Mt Rushmore [tex] (\frac{14}{28} ) [/tex]
[tex] \frac{14}{28} - \frac{8}{28}\\\\ When \; we \; have\; like\; fractions\; with\; same\; denominator,\; we \; should\; combine \; numerator \\ \\ \frac{14-8}{28} \\ \\ \frac{6}{28} [/tex]
[tex] Divide \; numerator\; and \; denominator\; by \; common\; factor\; 2\\ \\ \frac{6 \div2 }{28 \div 2} = \frac{3}{14} [/tex]
Conclusion:
6/28 fraction of students prefer Mt Rushmore over Grand Canyon.
3/14 is the simplest form of above fraction.
Select the points you need to calculate the average rate of change from the beginning of the slide to when the slide has covered a horizontal distance of 15 feet.
A (0, 80)
B (5, 40)
C (10, 20)
D (15, 10)
Answer: The correct options are A and D.
Explanation:
If we want to find the average rate of change from the beginning of the slide to when the slide has covered a horizontal distance of 15 feet, the we have to find the initial point and point where horizontal distance is 15 feet.
In the given graph x axis represents the horizontal distance and y axis represents the height of the slide.
From the figure it is crealy noticed that the coordinates of the points are (0,80), (5,40), (10,20), (15,10) and (20,5).
Since at the initial point the horizontal distance is 0, so the coordinates of initial point is (0,80).
The coordinates of the point where horizontal distance is 15, are (15,10).
Therefore to find the slope or average rate of from the beginning of the slide to when the slide has covered a horizontal distance of 15 feet the required points are (0,80)and (15,10). So option A and D are correct.
Answer:
A and D
Step-by-step explanation:
Just took it. Edg 2020. Hope this helps :)
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.
(05.05)Jacob and Kerrie are trying to figure out how long they can live off their $84,670 savings if they spend $370 each month. They have each created an equation. Jacob’s Equation Kerrie’s Equation y = 84,670 + (370x) y = 84,670 − (370x) Which person has the correct equation to model this linear relationship?
Answer:
kerries because they are spending money not gaining and it will be B
Step-by-step explanation:
in mrs marshall's classroom 6/7 of the students play sports. of the students who play sports, 4/5 also play an instrument. if there are 35 students in her class how many play sports and an instrument?