In the image, shape ABCD is similar to shape WXYZ. Find the measure of side ZW.
Answers
Solution:
we are given that
In the image, shape ABCD is similar to shape WXYZ.
we have been asked to find the measure of side ZW.
As we know that when two shapes are similar then the ratios of their corresponding sides are equal.
So we can write
[tex] \frac{zw}{6}= \frac{18}{24}\\ \\ ZW=6*\frac{18}{24}\\ \\ ZW=\frac{18}{4}\\ \\ ZW=4.5\\ [/tex]
Hence ZW=4.5 Inches.
Answer:
4.5
Explanation:
Got it right on Imagine math.
Related Questions
Hannah got a perfect score on 3 more spelling quizzes this quarter than last quarter . If she doubles the number of perfect quizzes she had this quarter , she will tie the school record. The record is 3 times the number of spelling quizzes hannah scores perfectly on last quarter.
Answers
n=Perfect Quizzes last quarter
x=School record
n+3
3•2=x
Now we solve that
3•2=6
Now we know, x=6
If the record (6) is 3 times the number of spelling quizzes Hannah scored perfectly last quarter (n), then we know we have to divide the record (6) by 3 to know how many perfect quizzes were from last quarter.
6/3=2 so, n=2
The number of perfectly scored quizzes from last quarter is 2.
Daphne purchased a home for $296,000. She put 20% down with a mortgage rate of 6% for 30 years. What's Daphne's monthly payment?
Answers
where A is the payment, P is the financed amount, i is the periodic interest rate, and n is the number of periods.
A = (0.8*296000)*.005/(1 -(1.005)^-360) = 1419.74
Daphne's monthly loan payment will be $1419.74.
Kyra exercises at a gym for 1 2/3 hours. she stretches,lifts weights, runs, and showers. kyra spends 1/4 hour stretching 1/3 hour showering.how much time does kyra spend running?
Answers
Final answer:
To determine the time Kyra spends running, the time spent on stretching and showering is subtracted from the total gym time, resulting in 65 minutes of running.
Explanation:
Kyra exercises at the gym for a total of 1 2/3 hours. To calculate the time she spends running, we need to subtract the time spent on other activities from the total exercise time. First, convert 1 2/3 hours to an improper fraction: (1 × 3) + 2 = 3 + 2 = 5/3 hours. Now, let's convert this into minutes: 5/3 hours × 60 minutes/hour = 100 minutes.
Next, calculate the total time spent stretching and showering: (1/4 hour × 60 minutes/hour) + (1/3 hour × 60 minutes/hour) = 15 minutes + 20 minutes = 35 minutes.
Finally, to find out how much time Kyra spends running, subtract the time spent on stretching and showering from the total exercise time: 100 minutes - 35 minutes = 65 minutes spent running
Kyra spends 1 hour and 5 minutes running at the gym.
Explanation:To find out how much time Kyra spends running, we need to subtract the time she spends stretching and showering from the total time she exercises at the gym.
Given that Kyra spends 1 2/3 (or 5/3) hours at the gym, and 1/4 hour stretching and 1/3 hour showering, we can calculate:
Total time Kyra spends stretching and showering = 1/4 + 1/3 = 3/12 + 4/12 = 7/12 hours
Time Kyra spends running = Total time at the gym - Total time Kyra spends stretching and showering = 5/3 - 7/12 = 20/12 - 7/12 = 13/12 hours.
Therefore, Kyra spends 13/12 hours or 1 hour and 5 minutes running.
2/3x+1/3y=2 in graph
Answers
Solve for y:
[tex]\dfrac{2}{3}x+\dfrac{1}{3}y=2\ \ \ \ |\cdot3\\\\2x+y=6\ \ \ \ |-2x\\\\y=-2x+6[/tex]
It's the slope intercept form of a straight line.
We need only two points to draw a straight line.
[tex]for\ x=0\to y=-2(0)+6=0+6=6\to(0;\ 6)\\for\ x=3\to y=-2(3)+6=-6+6=0\to(3;\ 0)[/tex]
Look at the picture.
A single gram of a certain metallic substance has 0.52 gram of copper and 0.26 gram of zinc. The remaining portion of the substance is nickel. Ben estimated that 0.2 gram of nickel is in 1 gram of the substance. He used this to estimate the amount of nickel in 35 grams if substance. Find the result of Bens estimation strategy. Then find the exact amount of nickel in 35 grams of the substance.
Answers
Since we know that the remaining portion of the substance is nickel, we have 0.22 gram of nickel.
Now, Ben estimates that 1 gram of the substance has 0.2 gram of nickel. To find how many grams of nickel are in 35 grams of the substance, we are going to multiply the grams of the substance by the gram of nickel:
[tex](35)(0.2)=7[/tex]
We can conclude that according to Ben, 35 grams of the substance has 7 grams of nickel.
But we know that in 1 gram of the substance are not 0.2 gram of nickel but 0.22. So lets multiply the grams of the substance by 0.22 to find the actual grams of nickel in it:
[tex](35)(0.22)=7.7[/tex]
We can conclude that 35 grams of the substance has 7.7 grams of nickel.
In one gram of substance 0.22 grams of nickel is present. Then the amount of nickel in the 35 grams of the substance is 7.7 grams.
What are ratio and proportion?A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0. A proportion is an equation in which two ratios are set equal to each other.
A single gram of a certain metallic substance has 0.52 grams of copper and 0.26 grams of zinc.
The remaining portion of the substance is nickel.
Let the gram of nickel be x. Then we have
x + 0.52 + 0.26 = 1
x = 0.22
0.22 grams of nickel.
Ben estimated that 0.2 gram of nickel is in 1 gram of the substance.
He used this to estimate the amount of nickel in 35 grams of the substance.
Then we have
→ 35 × 0.2 = 7
We know that in 1 gram the amount of nickel is 0.22 gram. Then er have
→ 35 × 0.22 = 7.7
The amount of nickel in the 35 grams of the substance is 7.7 grams.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
The youth center has another mural painted inside the building. If the original painting is 3 feet by 2 feet, and the mural is 15 feet by 10 feet, what is the scale comparing the painting to the mural?
a) 3ft:10ft
b) 1ft:5ft
c) 1ft:3ft
d) 2ft:15ft
Answers
Original painting mural scale factor
3 15 original / mural = 3 / 15 = 1 / 5
2 10 original / mural = 2 / 10 = 1 / 5
As you see the scale to comparing the original to the mural es 1 feet : 5 feet.
It means that the measures of the original painting must be multiplied by 5 to obtain the measures of the mural.
Bobbys collection of sports cards has 3/10 baseball cards and 39/100 football cards the rest are soccer cards what fraction of bobbys sports cards are baseball or football cards
Answers
The remianing is 3.1/10 or 31/100
A tabletop in the shape of a trapezoid has an area of 5,658 square centimeters. Its longer base measures 119 centimeters, and the shorter base is 65 centimeters. What is the height?
The height of the tabletop is
centimeters.
Answers
By plugging in the information that we already have, we know: (119+65)*height*1/2=5658
184*1/2*height=5658
92*height=5658
height=61.5cm.
Check:
119+65=184
184*61.5=11316
11316*1/2=5658
Solve the quadratic equation by completing the square x^2+6x-5=0
Answers
x^2 +6x = 5 . . . . . add 5
x^2 +6x +9 = 14 . . . add 9
(x +3)^2 = 14 . . . . . . write left side as square
x +3 = ±√14 . . . . . . . take the square root
x = -3 ±√14 . . . . . . . subtract 3
Selection C is appropriate.
Please help with all of my work QUESTIONS:5,6,7,and 8
Answers
A. True, because it says (1/2) .5 and you multiply that by 2/3 and you get 1/3
B. True, because it says 1/3 and you multiply that by .5 or 1/2
C. False, Because there are 15 pear trees
D. True, there are 15 peach trees
6.
You have do 12 x 6 to get a common denominator and that equals 72.
You then have to multiply the numerators 5 x 72 = 360.
You then have to divide 360 by 6 which = 60.
AND also this one here.
Answers
2. 77
3.60
4.c
I hope it helps
Muriel says she has written a system of two linear equations that has an infinite number of solutions. One of the equations of the system is 3y = 2x – 9. Which could be the other equation?
Answers
You could multiply the whole thing by 4.5 to get [tex]13.5y=9x-40.5[/tex]. If you want, you could mix things up and write it in slope-intercept form: [tex]y= \frac{2}{3}x-3[/tex]. The point is, anything that is equivalent to the original equation will give infinitely many solutions x and y. You can test this by plugging in values x and y and seeing the answers!
The attached graph shows that four different equations are really the same.
Answer: pretty sure it´s B
The base of a 15-ft ladder is 5 ft away from a wall. How high from the floor is the top of the ladder?
Answers
Distance from the top of the ladder to the floor = 14.14 ft
Explanation:
The ladder forms a right-angled triangle with the floor and the wall where:
The ladder is the hypotenuse = 15 ft
The distance between the ladder and the wall is the base = 5 ft
We will use the Pythagorean theorem to get the third side of the triangle which represents the distance between the top of the ladder and the floor as follows:
15^2 = 5^2 + distance^2
Distance^2 = 225-25 = 200
Distance from the top of the ladder to the floor = sqrt(200) = 14.14 ft
Hope this helps :)
A table is 6 feet long and 3 feet wide. You extend the table by inserting two identical table leaves. The longest side of each recatngle leaf is 3 feet the extendable table is rectangular with an area of (18 + 6x) square feet. a. Make a diagram of the table and leaves. b. Write an expression that represents the length of the extendable table. What does x represent
Answers
The area of a rectangle is the product of the width and the length
The required values are;
a. Please find attached the diagram of the table attached
b. 6 + 2·x
c. x represents the width of the leaves
Reason:
Known parameter
Length of the table = 6 feet
Width of the table = 3 feet
Number of leaves = 2
Length of the sides of the leaves = 3 feet
a. Please find attached the diagram of the table, with leaves drawn with MS Visio
Total length = (6 + 2·x) feet
Width = 3 feet
Area, A = (6 + 2·x) ft. × 3 ft. = (18 + 6·x) ft.²
b. The expression that represents the length of the table is 6 + 2·x
c. The variable, x, represents the width of the leaves
Learn more here:
https://brainly.com/question/21851016
A number increases from 30 to 45 and then decreases from 45 to 36. What is the difference between the percent of increase and the percent of decrease?
Answers
Answer:
30%
Step-by-step explanation:
The increase was 15/30 = 50%,
The decrease was 9/45 = 20%.
50% - 20% = 30%
Problem -
Gretchen is setting up for a banquet. She has 300 chairs and needs to distribute them evenly among t tables.
How many chairs should she put at each table?
Write your answer as an expression.
Answers
Answer:
The expression is 300÷t.
Step-by-step explanation:
Number of chairs Gretchen has = 300.
Number of tables Gretchen has = t.
It is given that the chairs are evenly distributed among the given number of tables that is each table will have the equal number of chairs.
The number of chairs she should put can be found by the expression 300÷t.
Gretchen should distribute 300 chairs evenly across t tables, which is represented by the expression 300 / t, where t is the number of tables.
Explanation:To solve the problem of how many chairs Gretchen should put at each table, we need to distribute the total number of chairs evenly among the tables. The expression for this will be:
Chairs per table = Total number of chairs / Number of tables
In Gretchen's case, she has a total of 300 chairs that need to be distributed evenly. Therefore, the expression is:
Chairs per table = 300 / t
Here, t represents the total number of tables. We do not know the exact number of tables, as it is not provided in the question, so we use t as a variable to represent this unknown value.
a gym has 275 members 40% are bronze members 28% are silver members the rest are good work out the gold members
Answers
Find % of gold members. Subtract the known % of bronze and silver members from 100%.
x= percent of gold members
x= 100% - (40% +28%)
x= 100% - 68%
x= 32% percent of gold members
STEP 2:
Find number of gold members. Multiply % of gold members by the total numbers of members (275).
x= # of gold members
x= 275 * 32%
x= 275 * 0.32
x= 88 gold members
Hope this helps! :)
Find the value of x. Round to the nearest tenth of a unit. Both 9 and 10 please.
Answers
By definition,
[tex]tan 22^{o} = \frac{203}{x} \\ 0.404 = \frac{203}{x} \\ x = \frac{203}{0.404}= 502.44[/tex]
Answer: 502.4 m
Problem 10
From geometry, the angle opposite x is 27°.
By definition,
[tex]sin 27^{o} = \frac{x}{580} \\ 0.454 = \frac{x}{580} \\ x=(580)(0.454)=263.32 [/tex]
Answer: 263.3 yd
Answer:
1A
2D
3D
4A&D
5D
6C
7A
8C
9C
10A
A tech support manager ran virus detection software on a random sample of 750 computers. The software identified that 200 of the computers had a virus.
To the nearest percent, what is a good estimate of the percentage of all computers at this company that have a virus?
Enter your answer in the box.
And please explain how did you got the answer
Answers
to get this you divide the second number by the first and multiply by 100
hope this helps! :^)
Answer:
27%
Step-by-step explanation:
I really think it is 27%
Elizabeth can run 3/4 mile in 1/10 of an hour. What is her speed in miles per hour?
Answers
Final answer:
Elizabeth's speed in miles per hour is calculated using the formula for speed, which is distance divided by time. By setting up the proportion with the given numbers, it's determined that Elizabeth runs at a speed of 7.5 miles per hour.
Explanation:
To calculate Elizabeth's speed in miles per hour, we need to use the information that 3/4 mile is covered in 1/10 of an hour and then find out how many miles would be covered in one full hour. To do this, we set up a proportion where the distance (miles) is divided by the time(hours).
The formula for finding speed is:
Speed = Distance / Time
Using the given numbers:
Speed = (3/4) miles / (1/10) hour
By performing the division, we get:
Speed = (3/4) × (10/1) miles/hour
Speed = (30/4) miles/hour
Speed = 7.5 miles/hour
Therefore, Elizabeth runs at a speed of 7.5 miles per hour.
To what place is 220.0 accurate?
1) tens
2) tenths
3) hundreds
4) hundredths
Answers
If Dawn can buy 5 pounds of apples for $12.45, how many pounds can she buy for $1.00? Express your answer as a decimal and round to the nearest tenth of a pound.
plzzzzzzzzzzzzzzzzzzzzz helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answers
Hope this helps!
Dawn can buy 5 pounds of apples for $12.45
We have to find how many pounds can she buy for $1.00
Now cost price for 5 pounds = $12.45
In $12.45 , Dawn can buy 5 pounds of apple
So, In $ 1 , Dawn can buy 5/12.5 pound of apple
= 0.4 pound of apple
Therefore dawn can buy 0.4 pound of apple for $1.00
Hope this helps..!!
Thank you :)
Write an expression that has four terms and simplifies to 16x+15
Answers
hope this helps
An expression that has four terms is equal to [tex]8(2x+1) +7[/tex] and simplifies to [tex]16x+15.[/tex]
What is an expression?" An expression is defined as the statement which relates the variable and the number using mathematical operation."
According to the question,
Given a simplified expression,
[tex]16x +15[/tex]
An expression that has four terms
[tex]8(2x +1) +7[/tex]
Four terms are [tex]8, 2x , 1, 7[/tex]
Simplify the expression we get,
[tex]8\times 2x + 8\times 1+ 7\\\\= 16x + 8 +7\\\\= 16x +15[/tex]
Hence, an expression that has four terms is equal to [tex]8(2x+1) +7[/tex] and simplifies to [tex]16x+15.[/tex]
Learn more about expression here
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Rotate the parallelogram 180° clockwise about point Q.
A.
Answers
Answer with explanation:
Given : A Parallelogram A B CD.
When the Parallelogram is rotated by an angle of 180° through point Q,
⇒The Answer can be explained in this way, when you rotate by an angle of 90° the two corresponding sides of Pre-Image and Image will be Perpendicular to each other , while you rotate by an Angle of 180°, the two corresponding sides of Pre-Image and Image will be Anti-Parallel to each other.
⇒By looking at the four options , the option in which Corresponding side of Preimage that is Parallelogram ABCD and after rotating through an angle of 180°,and Corresponding Side of Image that is Parallelogram A'B'C'D' are Anti-parallel to each other.
⇒Point Q , will lie on line joining from D to D'.
Option D
The newest cellular phone costs $784.26 after a 5.5% sales tax is applied. What is the cost of the cellular phone before sales tax? (A) $739.19 (B) $743.37 (C) $752.96 (D) $768.42 (E) $781.62
Answers
How long would it take to travel 924 miles at the rate of 42 miles per hour? A12 h B22 h C24 h D42 h asap plz
Answers
924/42=22
**PLEASE HELP ASAP** Betsy is analyzing a quadratic function f(x) and a linear function g(x). Will they intersect?
Yes, at positive x-coordinates
Yes, at negative x-coordinates
Yes, at negative and positive x-coordinates
No, they will not intersect
Answers
This is by far the easiest way to solve this problem, but if you're interested in learning how to do it algebraically, read on! To prove this more rigorously, we can find that the equation of the parabola is [tex]y=\frac13 x^2 - 2.[/tex] Substituting in [tex]y=x[/tex], we find that the intersection points occur where [tex]\frac13 x^2 - 2 = x[/tex], or [tex]\frac13 x^2 - x - 2 = 0,[/tex] or [tex]x^2 - 3x - 6 = 0.[/tex]
This equation doesn't factor nicely, so we use the quadratic formula to learn that [tex]x = \frac{3 \pm \sqrt{3^2 - 4 \cdot 1 \cdot (-6)}}{2} = \frac{3 \pm \sqrt{33}}{2}.[/tex] Hence, the x-coordinates of the intersection points are [tex]\frac{3 + \sqrt{33}}{2}[/tex], which is positive, and [tex]\frac{3 - \sqrt{33}}{2}[/tex], which is negative. This proves that there are intersection points on both ends of the axis.
Answer:
C. Yes, at negative and positive x-coordinates
Step-by-step explanation:
I got it right on the test.
Hope this helps :)
Find the value of x. Round to the nearest tenth degree. Please help!!!
Answers
Sin(x)^-1=opposite leg/hypotenuse
The opposite leg is 5 and the hypotenuse is 14
2. Let's substitute in the formula:
Sin(x)^-1=opposite leg/hypotenuse
Sin(x)^-1=5/14
x=21°
Then, the answer is: The value of x is 21°
Bryan cuts a piece of cardboard in the shape of a trapezoid. The area is 43.5 square centimeters. If the bases are 6 centimeters and 8.5 centimeters long, what is the height of the trapezoid?
Answers
To find the height of the trapezoid, use the formula for the area of a trapezoid: A = ((b1 + b2) * h) / 2. Plug in the given values and solve for h.
Explanation:To find the height of the trapezoid, we can use the formula for the area of a trapezoid: A = ((b1 + b2) * h) / 2, where A is the area, b1 and b2 are the lengths of the bases, and h is the height. In this case, the area is given as 43.5 square centimeters, and the lengths of the bases are 6 centimeters and 8.5 centimeters. Plugging in these values, we get:
43.5 = ((6 + 8.5) * h) / 2
Simplifying the equation, we have:
87 = 14.5h
Dividing both sides by 14.5, we find:
h = 6 centimeters
Learn more about Finding the height of a trapezoid here:https://brainly.com/question/27831303
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Height of the trapezoid is 6 centimeters.
Area = (1/2) × (Base1 + Base2) × Height
Given the following values:
Area = 43.5 square centimetersBase1 = 6 centimetersBase2 = 8.5 centimetersWe can plug these values into the formula and solve for the height:
43.5 = (1/2) × (6 + 8.5) × Height
43.5 = (1/2) × 14.5 × Height
43.5 = 7.25 × Height
To isolate the height, divide both sides by 7.25:
Height = 43.5 / 7.25
Height = 6 centimeters
So, the height of the trapezoid is 6 centimeters.
The height in feet h of a water bottle rocket launched from a rooftop is given by the equation h = -16t2 + 320t + 32, where t is the time in seconds. After the rocket is fired, how long will it take to return to the ground? Solve by completing the square. Round your answer to the nearest tenth of a second.
Answers
Final answer:
It will take approximately 20.2 seconds for the water bottle rocket to return to the ground after being launched, determined by solving the given quadratic equation by completing the square.
Explanation:
The question asks how long it will take for a water bottle rocket launched from a rooftop to return to the ground, given the equation h = -16t2 + 320t + 32, where h is height in feet and t is time in seconds. To find when the rocket hits the ground, we need to solve for t when h equals zero by completing the square.
First, rearrange the equation: 0 = -16t2 + 320t + 32.
Factor out -16 to simplify: 0 = -16(t2 - 20t - 2).
To complete the square, take half of the -20, square it and add to both sides: 100 + 2 = -16(t2 - 20t + 100).
This simplifies to 0 = -16((t - 10)2 + 98) and then (t - 10)2 = -98/(-16).
Solve for t: t = 10 + sqrt(98/16), which gives approximately t = 20.2 seconds.
Therefore, it will take approximately 20.2 seconds for the water bottle rocket to return to the ground.