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]
PLEASE HELP!!!!!!!!!!!
The latest online craze is a new game, Khan on Seven. You get 100 points for playing the game. In addition, you get 50 points for each seven-letter word you are able to make with the ten letters you are given. The game leader currently has 17,950 points. Sal wants to break the record and needs 18,000 points or more to do so.
Write an inequality to determine how many seven-letter words, w, Sal will need to make to break the record.
Identify which graph represents the solution set to this inequality.
Georgie's toy car collection consists of modern and classic cars. He has four times as many classic cars as he cars. If he has 320 total cars in his collection, how many modern cars does he have?
What is the domain of this function
Answer:
Domain (-∞,4)U(4,∞)
Step-by-step explanation:
Inmagine functions as little machines that turn one number into another, the domain would the numbers that we can enter to the machine so we would have a real number on the output of it.
In this specific case we can use all the numbers but 4 because if we make [tex]x=4[/tex] we would have [tex]\frac{12}{4-4}=\frac{12}{0}[/tex] and this is an indeterminate form which won't be solution to the problem.
According to the explanation our domain would be all the numbers but 4 like this:
Domain (-∞,4)U(4,∞)
Write an equation in slope-intercept form of the line that passes through (-1,-3) and is parallel to the graph of y=4.
Answer:
The line parallel to this one and through the given point would be y = -3.
Step-by-step explanation:
In order to find a parallel line, we first have to accept that this is a horizontal line. This is because there is no x value in the equation. That means in order to make it horizontal as well, we need it to have no x value again.
Given the ordered pair, this means our new equation is y = -3
The equation of a circle is (x+7)to the second power+(y−13)to the second power=196 .
What is the center of the circle?
Enter your answer in the boxes.
Answer:
(-7,13)
Step-by-step explanation:
The equation of a circle is (x+7)to the second power+(y−13)to the second power=196
(x+7)^2 +(y-13)^2 = 196
To find the center of the circle we use the center radius form of the circle
[tex](x-h)^2 + (y-k)^2 = r^2[/tex]
where (h,k) is the verted and r is the radius of the circle
now we compare with the given equation
h= -7 and k =13
So center of the circle is (-7,13)
What decimal part of 440 is 220? Please, show work!
HELP ME PLEASE 20 POINTS TO WHOEVER ANSWERS!
5 − (x + 5) > −2(x + 4)
Please do not answer unless you are correct..I will award double points
Mark borrowed $5500 at 11.5% for five years how much did Mark pay in interest
Final answer:
Mark paid $3162.50 in interest on a $5500 loan at 11.5% over five years using the simple interest formula Interest = Principal × rate × time.
Explanation:
To calculate the total amount of interest Mark paid on a $5500 loan at 11.5% for five years, we can use the formula for simple interest, which is:
Interest = Principal × rate × time
In Mark's case, the principal is $5500, the rate is 11.5% or 0.115 when converted to a decimal, and the time is 5 years. Plugging these values into the formula yields:
Interest = $5500 × 0.115 × 5 = $3162.50
So Mark will have paid $3162.50 in interest over the five years of the loan.
Tabitha and her parents drive to Dallas for a wedding after 90 minutes Tabatha's father tells her that they have travel 105 miles what is the average rate of speed the car travel in 90 minutes
How do you find the missing length and area of a pyramid only having the volume and height? For example my volume is 225 and my height is 3. What is my area and length? Please explain :)
A farmer applied different types of fertilizer to two different sections of his watermelon field. At the end of the growing season, the farmer randomly weighed 20 watermelons from each section. The table shows the mean and the mean absolute deviation (MAD) of the weights for each fertilizer.
Fertilizer Mean (lb) MAD
1 24 3
2 22 2
Calculate the means-to-MAD ratio. Can the farmer conclude that Fertilizer 1 generally produces heavier watermelons?
Select from the drop-down menus to correctly answer the question.
The farmer (can, cannot) conclude that Fertilizer 1 generally produces heavier watermelons because the distributions of weights for the two fertilizers are (identical, somewhat similar, similar, different).
what is the difference between the greatest green bean weight and the least green bean weight
Which statements about prisms are always true if the top base is directly above the bottom base?
-The bases are congruent
-The bases can be any shape
-The lateral faces are congruent
-The lateral faces are rectangles
SOMEONE PLEASE HELP ME!!!!! I NEED HELP ON CASE #3
a pillow is in the shape of a regular pentagon. The front of the pillow is made form 5 pieces of fabric that are congruent triangles. Each triangle has an area of 22in squared. What is the area of the front of the pillow?
PLEEAASSEEEEE HHHHHEEEEELLLLLLLPPPPPPPPP !!!!!!!!!!!!!!!!!!!!!!
CAN SOMEONE HELP! please - Give brainliest to best
PLEASEEEEE
Answer:
Step-by-stPart A
Answer: 7/36
This is in fraction form
The decimal version of this number is roughly 0.1944
-----------------------------------
To get this answer, we multiply the fractions 7/9 and 2/8
The fraction 7/9 is the probability of selecting purple on the first draw. There are 7 purple out of 9 total (2+7 = 9)
The fraction 2/8 is the probability of selecting white on the second draw. This is assuming we don't put the first selection back in the bag. There are 2 white out of 8 marbles over
Multiply the fractions to get:
(7/9)*(2/8) = (7/9)*(1/4) = (7*1)/(9*4) = 7/36
============================================================
Part B
Answer in fraction form: 1/36
Answer in decimal form: 0.0278 (which is approximate)
------------------
We have 2 white out of 9 total. So the probability of getting white the first time is 2/9
After we select and don't put that first selection back, we have 1 white out of 8 left over. The probability of getting white a second time is 1/8
Multiply the fractions:
(2/9)*(1/8) = (2*1)/(9*8) = 2/72 = 1/36
============================================================
Part C
Answer: There is a greater chance to get two purple in a row
Without doing any math, you can tell that purple is more likely simply because there are more purple than white. We have 7 purple and 2 white. For any given single selection, we have a greater chance of picking purple over white.
If you want do to the math, then the probability of selecting two white marbles in a row is 1/36 = 0.0278 which was found in part B above.
The probability of selecting two purple is (7/9)*(6/8) = (7/9)*(3/4) = (7*3)/(9*4) = 21/36 = 7/12 = 0.5833
In summary,
the probability of selecting two white marbles in a row is 0.0278
the probability of selecting two purple marbles in a row is 0.5833
we see that the probability for the two purple marbles is much greater
A photo of a painting measures
13 inches by 17 inches. The scale factor
is 1
3 . What size is the painting?
The size of the painting is [tex]\( \frac{13}{3} \) inches by \( \frac{17}{3} \)[/tex] inches.
If the photo of the painting has dimensions of 13 inches by 17 inches and the scale factor is 1/3 it means that the dimensions of the painting itself are 1/3 times the dimensions of the photo.
To find the size of the painting, we need to multiply the dimensions of the photo by the scale factor.
For the length:
[tex]\[ \text{Length of painting} = 13 \times \frac{1}{3} = \frac{13}{3} \][/tex]
For the width:
[tex]\[ \text{Width of painting} = 17 \times \frac{1}{3} = \frac{17}{3} \][/tex]
Which of the following equations represents a line that is parallel to y=5x-4 and passes through the point, (3,4)?
A cable is 50 meters long. How long is the cable in decimeters?
If the area of a square is 64 square centimeters, whats the length of one side?
A. 8cm
B. 32cm
C. 16cm
D. 4cm
8. Find the measure of the third angle of a triangle given that the first two angles are 44o and 72 o. Show your work.
44+72=116
180-116=64
3rd angle=64
64+44+72=180
44+72=116
180-116=64
3rd angle=64
64+44+72=180Martha's mom is making party bags for all of her party guests. She has 24 green gumballs, and 33 blue gumballs. If she wants to split them evenly between all the bags, without any leftovers, how many bags can she make??
ve. Cesar bought 2 bott many quarts of juice did he buy? bought 2 bottles of juice that each hold 2 quarts other bottle that holds 1z gallons of juice.How many quarts of juice did he buy
Cesar purchased a total of 10 quarts of juice after converting [tex]1\frac{1}{2}[/tex] gallons to quarts and adding it to the quarts from the two bottles.
Cesar bought 2 bottles of juice that each hold 2 quarts and another bottle that holds [tex]1\frac{1}{2}[/tex] gallons of juice. To find out how many quarts of juice he bought in total, we need to convert gallons to quarts.
We know that there are 4 quarts in 1 gallon, so [tex]1\frac{1}{2}[/tex] gallons equal 6 quarts ( [tex]1\frac{1}{2}[/tex] × 4 quarts/gallon).
Adding the quarts from the two bottles, we have 2 × 2 quarts which equal 4 quarts. Now, add the quarts from the single bottle to the total:
4 quarts (from two bottles) + 6 quarts (from [tex]1\frac{1}{2}[/tex] gallon bottle) = 10 quarts
So, Cesar bought a total of 10 quarts of juice.
Find the circumference of the circle. Round to the nearest tenth.
A.) 148.4 m
B.) 84.8 m
C.) 196.6 m
D.) 54.0 m
What is the correct meaning of the word particular?
Millie looked through all of the markers until she found the particular shade to color the flowers
A) extremely rare
B) separate and distinct
C) easily seen or noticed
D) commonly occurring
Answer:
Step-by-step explanation:
The answer is B
Jackson flipped a coin ten times. He flipped heads 4 times and tails 6 times. What is the experimental probability that Jackson will flip heads on his next flip?
Answer:
1.5 i think
Step-by-step explanation:
6/4=1.5
what is a rational number?
which three dimensional figure is modeled by the net below?