jerry built a coffee table for his living room. His table, that also serves as storage bin, is in the shape of a trapezoid. He wants to build a shelf in the middle of the coffee table to separate his photo album storage from his magazines. the top opening of the box is 22 inches and the base of the box is 12 inches. How long should he make the shelf to fit in the middle?
Answer: The correct answer is 17 inches.
Answer:
17 inches
Step-by-step explanation:
Given that jerry built a coffee table for his living room. His table, that also serves as storage bin, is in the shape of a trapezoid. He wants to build a shelf in the middle of the coffee table to separate his photo album storage from his magazines. the top opening of the box is 22 inches and the base of the box is 12 inches.
To make the trapezium into two halves he can draw a middle line from the mid points of the two non parallel sides.
Since base I =22 inches and base II = 12 inches we get
the middle line would be the average of the two bases
(Recall mid point theorem on triangles extended to trapeziums)
Hence we have the length required
=[tex]\frac{1}{2} (22+12)\\\\=\frac{1}{2} (34)\\=17 inches[/tex]
Nick flew 1,560 miles in 3 hours on his airline flight. How far did nick fly in 1 hour ?
what is the equation of this circle in general form
The Roman Empire began in 27 B.C. and ended in 476 A.D. The Persian Empire lasted approximately 5/11 as long as the Roman Empire. Based on this approximation, if the Persian Empire began in 550 BC, in what year did it end?
Round all years to the nearest whole number.
Answer:321
Step-by-step explanation:
see the difference between the roman empire numbers
find 5/11 of that
see how much there already is and subtract
Which equation could be used to find the length of the hypotenuse?
The annual snowfall in a town has a mean of 38 inches and a standard deviation of 10 inches. Last year there were 63 inches of snow. Find the number of standard deviations from the mean that is, rounded to two decimal places
you need 2/3 cup of flour to make 1 loaf of bread. how much flour to make 3 loaves of bread?
Catherine has $54. She plans to spend more than $20 of the money for a painting canvas. The rest will go toward paints. Each tube of paint costs $8.50. Assume that x represents the number of tubes of paint Catherine can buy.
The inequality that best represents this scenario is _____. A. 8.5x + 20 > 54 B. 8.5x - 20 < 54 C. 54 - 8.5x < 20 D. 54 - 8.5x > 20
The number of tubes of paint Catherine can buy is _____. A. at least 5 B. more than 4 C. less than 4 D. more than 5
Final answer:
The inequality representing Catherine's scenario is 8.5x + 20 < 54, and the number of tubes of paint she can buy is less than 4.
Explanation:
The inequality that best represents the scenario where Catherine has $54, plans to spend more than $20 on a painting canvas, and the rest on paint tubes that cost $8.50 each, is 8.5x + 20 < 54. This equation illustrates how much money Catherine will have left after purchasing the painting canvas for more than $20.
To determine the number of paint tubes Catherine can buy, we solve the inequality:
Subtract 20 from both sides: 8.5x < 54 - 20
Simplify the right side: 8.5x < 34
Divide both sides by 8.5 to isolate x: x < 34 / 8.5
Calculate x: x < 4
Therefore, the number of tubes of paint Catherine can buy is less than 4 (C. less than 4).
solve 2x^3 - 3x^2 + 8x - 12 = 0 (this is complex zeros btw)
Nora started a business making bracelets. She spent $75.00 on advertising and $35.00 on supplies. She sells each bracelet for $1.50. What is the least number of bracelets Nora needs to sell to make money than she spent? Show your work.
A jar contains 26 fluid ounces of spaghetti sauce how many cups of spaghetti sauce do 4 jars contain
Fahim is 6 feet tall. At noon, he stands with the sun behind him casting a shadow. The distance from the top of Fahim’s head to the furthest tip of the shadow is 13 feet. [Not drawn to scale] What is the length of Fahim’s shadow? Round to the nearest tenth of a foot.
7.0 feet
8.5 feet
11.5 feet
14.3 feet
Answer: 11.5 feet
Step-by-step explanation:
Given: The height of Fatim = 6 feet
At noon, he stands with the sun behind him casting a shadow. Also, Fatima is standing vertical to the ground such that a right triangle is formed.
Let the length of Fahim’s shadow be x.
By Pythagoras theorem , we have
[tex]13^2=x^2+6^2\\\\\Rightarrow169=x^2+36\\\\\Rightarrow\ x^2=169-36\\\\\Rightarrow\ x^2=133\\\\\Rightarrow x=\sqrt{133}=11.5325625947\approx11.5[/tex]
Hence, the length of Fahim’s shadow =11.5 feet
Find the percent of decrease from 280 to 210. Round to the nearest tenth of a percent, if necessary.
a 0.3% b 25% C 33.3% D 133.3%
A translation is a transformation in which every point of the preimage is moved the same distance in the same direction.
6xt3x -x+9 =33 solve the equatolion
McCune Landscaping buys 100 shovels for $15 each. McCune sells all 100 shovels at $29.99. What is the profit?
Someone plz help me!!!
Jack rented a boat for one day.it cost 15.50 plus 0.35 per hour.if jack paid 16.90 in total for the boat rental.for how many hours did he use the boat?
Mike took a taxi from his home to the airport the taxi driver charged an initial fee of six dollars +3 dollars per mile for total fare was $24 not including the tip how many miles and make travel by a taxi on his ride
Nancy rowed across the lake with her friend Kelly at a rate of 5 mph. Kelly then rowed back at a rate of 4 mph. If the lake is 6 miles across, how long did it take them to complete their trip?
1. One box of cereal is 16 ounces and costs $3. A smaller box of The same cereal is 11.5 ounces and costs $2. Which box of cereal is the better but? Explain.
2. I'm an N-guage model train set, a tank car is 3.75 inches long. The actual tank car is 50 feet long. What is the ratio of the length of the actual tank car to the length of the model tank car?
3. 9 km/1 hour = ?m/ 1 second
Kenny wrote the equation for a linear relationship shown below
Y=-3x+4
If x equals 7 what is the value of y
one endpoint of the line segment lies on quadrant 2 while the other endpoint lies in quadrant 3 which statement is true about the segment's midpoint
The true statement for the given information is the y coordinate is negative
The correct answer is:
d. The y-coordinate is negative.
Let's break down the problem step by step:
1. Identify the Quadrants of the Endpoints: One endpoint lies in quadrant 2, and the other endpoint lies in quadrant 3.
2. Determine the Coordinates of the Endpoints:
- For a point in quadrant 2, both the x-coordinate and y-coordinate are positive.
- For a point in quadrant 3, the x-coordinate is negative, and the y-coordinate is negative.
3. Find the Midpoint Formula: The midpoint formula for a line segment with endpoints [tex]\((x_1, y_1)\)[/tex] and [tex]\((x_2, y_2)\)[/tex] is:
[tex]\[ \text{Midpoint} = \left(\frac{{x_1 + x_2}}{2}, \frac{{y_1 + y_2}}{2}\right) \][/tex]
Now, let's apply these steps to find the properties of the midpoint:
1. Identify the Quadrants of the Endpoints:
- Endpoint 1: Quadrant 2
- Endpoint 2: Quadrant 3
2. Determine the Coordinates of the Endpoints:
- Endpoint 1 (Quadrant 2): Positive x-coordinate, Positive y-coordinate
- Endpoint 2 (Quadrant 3): Negative x-coordinate, Negative y-coordinate
3. Find the Midpoint:
- Since the x-coordinate of one endpoint is positive and the x-coordinate of the other endpoint is negative, the x-coordinate of the midpoint will be between these two values, but we cannot determine its sign from this information.
- Since one y-coordinate is positive and the other is negative, the midpoint's y-coordinate will lie between these two values, but it will be negative.
Therefore, the correct answer is:
d. The y-coordinate is negative.
The midpoint's x-coordinate could be either positive or negative, depending on the specific values of the endpoints. However, the y-coordinate will always be negative because it lies between a positive y-coordinate and a negative y-coordinate. This is consistent with the fact that one endpoint lies in quadrant 2 (positive y) and the other lies in quadrant 3 (negative y).
Complete question:
one endpoint of the line segment lies on quadrant 2 while the other endpoint lies in quadrant 3 which statement is true about the segment's midpoint
a. the x coordinate is negative
b. the x coordinate is positive
c. the y coordinate is positive
d. the y coordinate is negative
Is (4,-2) a solution to the equation 5x - y = 18?
Show your work please!
Will give brainliest!!
Please Help!
it is 1,325 feet from kinsey's house to her friend carlito's house. when she visits carlito, she walks to his house and gets a ride home from carlito's mom. how many feet does kinsey walk to carlito's house in 112 visits.
Kinsey walks a total of 148,400 feet to visit Carlito's house 112 times. This was calculated by multiplying the distance of a single trip (1,325 feet) by the number of trips (112).
Explanation:To solve this problem, we simply need to multiply the distance that Kinsey walks to Carlito's house by the number of visits she makes. So, the calculation would be 1,325 feet * 112 visits.
After doing this multiplication, we find that the total distance Kinsey walks to Carlito's house in 112 visits is 148,400 feet.
This is a good example of how problems can be solved using simple multiplication in real-life situations, like calculating the total distance covered in multiple trips.
Learn more about Multiplication here:https://brainly.com/question/5992872
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given the equation (x-a)^2(x-2)=x^3+bx^2+12x-72 find a and b
To find the values of a and b, expand the given equation and compare it with the cubic equation. The values of a and b are 2 and -10, respectively.
Explanation:To find the values of a and b, we can expand the given equation and compare it with the cubic equation x³ + bx²+ 12x - 72 = 0. Expanding and comparing the coefficients, we get:
a = 2
b = -10
Shavon is going to wrap a box that is shaped like a rectangular prism. The box is 12 inches long, 8 inches wide, and 3 inches high. What is the least amount of wrapping paper that Shavon will need to completely cover the Box?
It is given in the question that , the box is 12 inches long, 8 inches wide and 3 inches high .
We have to find the least amount of wrapping paper that Shavon will need to completely cover the box .
And for that we have to use the formula of surface area, which is
[tex] Area= 2(length*width+width*height+length*height) [/tex]
Substituting the values of length, width and height, we will get
[tex] Area= 2(12*8+8*3+12*3) =2(156)=312 [/tex]
Correct option is the last option .
Juan added 3/5 gallon of gasoline into his car’s empty fuel tank on Sunday. He uses 1/5 gallon of gasoline on Monday to go to work. He uses 2/5 gallon of gasoline on Tuesday during a short trip. Is his fuel tank empty after he drives on Tuesday? Explain.
I need the answer ASAP!!
At Joe's Market, three oranges and one apple cost $1.86, and two oranges and three apples cost $2.15. What is the cost of one apple?
On the first day of the year you have $700 in your bank account you spend $35 per week your friend starts the year with 450 in his bank account he said to $15 per week solve the equation 700-35W equals 450+15 W to find out how many weeks W it will take for you and your friend to have the same amount of money in your bank account