Answer:
[tex]Area = \frac{25x^2}{2}[/tex]
Step-by-step explanation:
Given
Shape: Parallelogram
[tex]PR = 5x[/tex]
[tex]QS = 5x[/tex]
[tex]\theta = 90[/tex]
Required
Find the area of the parallelogram
Because we were given the measure of the diagonals, the area is:
[tex]Area = \frac{1}{2} * PR * QS * \sin \theta[/tex]
This gives:
[tex]Area = \frac{1}{2} * 5x * 5x * \sin \ 90[/tex]
[tex]Area = \frac{1}{2} * 5x * 5x * 1[/tex]
[tex]Area = \frac{1}{2} * 25x^2[/tex]
[tex]Area = \frac{25x^2}{2}[/tex]
Four friends are training for long races.
Eduardo ran 5.123 miles, Kandis ran 6.34 miles, Khaliyah ran 7.1 miles, and Moises ran 8 miles.
Khaliyah ran how much further than Eduardo?
Answer:
1.977
Step-by-step explanation:
line up your decimal points
7.100
- 5.123 (borrow from 1 to make it 0 and make the 0 to the right of it a 10)
(now borrow from the 10 to make it 9 and make the other zero a 10)
7.100
- 5.123 (now borrow from 7 to make it 6 and make the 0 to the right of it a 10)
7 (now borrow from the 10 to make it 9 and subtract the 2)
7.100
- 5.123 (now subtract 1 from 10 and then subtract 5 from 6)
1.977
Find all values of X,where |x| = 11.
Answer:
X = 11 or -11
Step-by-step explanation:
Daniel scored nine points less than a andre in the basketball game Noah scored twice as many points as Diego if noah scored 10 points how many points did Andre score
A swimming pool is in the shape of a rectangular prism. The pool is 30 feet long, 16 feet wide, and 6 feet deep. James stretched a hose straight from a top corner of the pool to the bottom corner farthest away. What is the length of the hose from the top corner to the bottom corner farthest away?
Answer:
About 34.5 which you can round to 35
Step-by-step explanation:
First you find the hypotenuse of 30 and 16 which is 34
Then the hypotenuse of 34 and 6 which is about 34.5
The length of the hose from the top corner to the bottom corner farthest away will be 34.5 feet
What is a Rectangular Prism?A rectangular prism is a 3-D figure, which has 6 faces, 8 vertices and 12 edges. All of the faces will be in rectangular shape.
Rectangular prism has three dimensions, namely, length, width and height.
Length of the swimming pool = 30 feet
Width of the swimming pool = 16 feet
Height of the swimming pool = 6 feet
We have to find the length of the hose from the top corner to the bottom corner farthest away.
For that first we have to find the length of the hypotenuse of the triangle with base = 30 feet and altitude = 16 feet
= √(30² + 16²)
= 34 feet
Now, we have to find the hypotenuse of the triangle with base = 34 feet and altitude = 6 feet.
= √(34² + 6²)
= 34.5 feet
Hence the length of the hose from the top corner to the bottom corner farthest away is 34.5 feet.
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WILL MARK BRAINLY!
Which inequality is true?
1-100 < 50
--50 100
1-100 > 50
4-50 > -100
the third one, you have written not clearly
bwhwhsbsh hsbsvs bw wjw wjw whe
Find the value.
3 to the power of 4 = _______
Answer:
3 * 3 * 3* 3 = 9x3 = 27
27*3 = 81
Step-by-step explanation:
Answer:
81
Step-by-step explanation:
3 the power of 4 means 3×3×3×3
so 81
PLZ HELP
I WILLMARKE YOU BRILL
Answer:
1. Mode = 7
2. Range = 8
Step-by-step explanation:
The following set of data were obtained from the question:
4, 6, 5, 9, 3, 2, 7, 7, 1, 8
Mode =?
Range =?
1. Determination of the mode of the data.
Mode is simply defined as the mark (score) with the highest frequency. Thus we can obtain the mode as follow:
Scores >>>>>>> Frequency
4 >>>>>>>>>>>> 1
6 >>>>>>>>>>>> 1
5 >>>>>>>>>>>> 1
9 >>>>>>>>>>>> 1
3 >>>>>>>>>>>> 1
2 >>>>>>>>>>>> 1
7 >>>>>>>>>>>> 2
1 >>>>>>>>>>>> 1
8 >>>>>>>>>>>> 1
From the above illustration, we can see that the mark 7 has the highest frequency. Therefore, 7 is the mode of the data .
2. Determination of the range of the data.
Range of a given data is simply obtained by calculating the difference between the highest and the lowest score. The range can be obtained as follow:
Highest score = 9
Lowest score = 1
Range = Highest – Lowest
Range = 9 – 1
Range = 8
15 POINTS. Hey yall, I'm having a bit of trouble with this problem. Can someone help, please?
Answer:
they are parallel
Step-by-step explanation;
You would have to get the Y by itself in the bottom one so go
2x-3y=-3
-2x -2x
-3y=2x-3
_________
-3 -3
_________
y= -2/3x+ 1
and they are the same equaion
so they end up parallel
-2v⁶
A) quintic monomial B) quadratic monomial C) linear polynomial with six terms D) sixth degree monomial
Answer:
D
Step-by-step explanation:
the v has an exponent of 6. thus is is 6th degree (degree is highest exponent in the polynomial). There is one term, hence is it a MON (one) ominal.
Put 'em together and you get:
6th degree monomial.
Have a nice day :)
An individual who has automobile insurance from a certain company is randomly selected. Let Y be the number of moving violations for which the individual was cited during the last 3 years. The pmf of Y is y 0 1 2 3 4 p(y) 0.50 0.20 0.15 0.10 0.05 Suppose an individual with Y violations incurs a surcharge of 100Y 2 . Calculate the expected amount of the surcharge
Answer:
1) The expected value of the number of moving violations for which the individual was cited during the last 3 years is 1
2) The expected amount of surcharges is $250
Step-by-step explanation:
Given that;
Y 0 1 2 3 4
p(y) 0.50 0.20 0.15 0.10 0.05
1)
Value of E(Y)
E(Y) = (0×0.50) + ( 1×0.20) + ( 2×0.15) + (3×0.10) + (4×0.05)
= 0 + 0.20 + 0.3 + 0.3 + 0.2
E(Y) = 1
Therefore, The expected value of the number of moving violations for which the individual was cited during the last 3 years is 1
b)
Suppose an individual with Y violations incurs a surcharge of $100Y² , the expected amount of the surcharge is given by,
E($100Y²) = 100E(Y)²
= 100∑Y²P(y)
= 100(0²×0.50) + ( 1²×0.20) + ( 2²×0.15) + (3²×0.10) + (4²×0.05)
= 100( 0 + 0.2 + 0.6 + 0.9 + 0.8 )
= 100(2.5)
= $250
Therefore; The expected amount of surcharges is $250
Factor out the greatest common factor
Answer:
C
A
B
D
Step-by-step explanation:
HELP ME PLEASE, IF I DONT GET THIS DONE I'M GOING TO FAIL
Answer:
2.7 mpg less than Evan's
Step-by-step explanation:
Riley gets 430.1 / 11 = 39.1 mpg
Evan gets 418 / 10 = 41.8 mpg
41.8 - 39.1 = 2.7
9514 1404 393
Answer:
2.7, less
Step-by-step explanation:
To find miles per gallon (MPG), divide miles by gallons.
Riley's car:
(430.1 mi)/(11 gal) = 39.1 mi/gal
Evan's car:
(418 mi)/(10 gal) = 41.8 mi/gal
__
Then the difference is ...
41.8 -39.1 = 2.7 . . . miles per gallon
We note that Riley's MPG is less than Evan's, so we can write ...
Riley's car gets 2.7 miles per gallon less than Evan's car.
the power of ten representation of four thousandths
Answer:
if its thousandths, its 4 x 10^-1. If you mean 4000, its 4 x 10^3
Step-by-step explanation:
help me please!!!!!!!
Leo has 18 yards of fabric that he wants to cut into pieces that are each 1 foot long. How many one foot long pieces can Leo create?
A bakery makes 1,650 cookies in one day. The cookies are put into boxes. A large box contains 24 cookies, and a small box contains 3 cookies. The bakery fills as many large boxes as possible, and then fills as many small boxes as possible.How many small boxes does the bakery fill in one day?
Answer:I think ia 18
Step-by-step explanation:
The number of small boxes the bakery fills in a day = 183 cookies.
Calculation of total number of boxesThe total number of cookies the bakery makes in a day =
1,650 cookies.
The number of cookies found in big box = 24 cookies
The number of cookies found in small box = 3 cookies
To find the number of small boxes that was fill would be to share 1,650 cookies in the ratio of 24 : 3
The total amount of cookies each box can hold = 24+3=27
Divide the amount by the total quantity of cookies=
1,650/27 = 61 cookies
Each number of the boxes should be multiplied by one part ; small boxes × 61 cookies
= 3 × 61
= 183 cookies.
Therefore, the number of small boxes the bakery fills in a day = 183 cookies.
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Find the area of the following shape. You must show all work to receive credit A (-4, 0), B(0, 4), C(2, 2), D(1,0)
9514 1404 393
Answer:
13 square units
Step-by-step explanation:
See the attached figure.
The horizontal dashed line divides the figure into two pieces:
a triangle 4 wide and 2 higha trapezoid 2 high with bases 5 and 4The appropriate area formulas can be used to find the areas of these. The figure's area will be their sum.
A = (1/2)bh = (1/2)(4)(2) = 4 . . . . square units
A = (1/2)(b1 +b2)h = (1/2)(5 +4)(2) = 9 . . . . square units
The area of the shape is ...
(4 +9) square units = 13 square units
Please Help 15 points!!!! (Only explain if you want but I suggest you do)Heart rates are expressed as beats per minute (or bpm). Mia knew her resting heart rate was 80 beats per minute. She asked her teacher if she could collect the heart rates of the other students in her class. With the teacher’s help, the other sixth graders in her class found their heart rates and reported them to Mia. The following numbers are the resting heart rates (in beats per minute) for the 22 other students in Mia’s class. 89 87 85 84 90 79 83 85 86 88 84 81 88 85 83 83 86 82 83 86 82 84
Part A:
What fraction of students had a heart rate less than 82 bpm?
Part B:
Half of the students heartrates were below what number?
Answer:
Part A 2/22=1/11
Part B 85
Step-by-step explanation:
Answer:
Hola amiga no se ablar inglés losiento
Antonio bought a shirt for 1/2 off. He paid $21.75 for the shirt s. Draw a bar diagram to find the original cost of the shirt.
Answer:
21.75 times 2 is 43.5
dog's food bowl holds 3 cups of dog food. Tim uses a scoop that holds 1/4 of a cup of dog food. how many scoops will it take for Timothy to fill the dog bowl?
Answer:
12 scoops
Step-by-step explanation:
4 scoops = 1 cup
8 scoops = 2 cups
12 scoops = 3 cups
Researchers in New Zealand interviewed 907 drivers at age 21. They had data on traffic accidents and they asked their subjects about marijuana use. Here are data on the numbers of accidents caused by these drivers at age 19, broken down by marijuana use at the same age:
Marijuana Use per year
1-10 11-50 51+
Never times times times
Drivers 452 229 70 156
Accidents caused 59 36 15 50
Required:
a. Explain carefully why a useful graph must compare rates (accidents per driver) rather than counts of accidents in the four marijuana use classes.
b. Compute the accident rates in the four marijuana use classes. After you have done this, make a graph that displays the accident rate for each class. What do you conclude? (You can’t conclude that marijuana use causes accidents, because risk takers are more likely both to drive aggressively and to use marijuana.)
Answer:
a)
Therefore to compare this data effectively using the rates per driver is better off like for people who do not smoke their rate will be = 59 / 452 = 13.1% while for smokers of 61+ times = 50 / 156 = 32.1% and this rate will show clearly tat more accidents where caused by people who smoked 51+ times hence it should be used for graphical representation
b) attached below
Step-by-step explanation:
A) A useful graph is must compare rates rather than counts of accidents in the four marijuana use classes
Using the rates on a graph is better for reference like saying; that 50 crashes were caused by those who smoke 51+ times and 59 crashes is caused by those who never smoke this statistics makes it seem like smoking has no effect on the amount of accidents
Therefore to compare this data effectively using the rates per driver is better off like for people who do not smoke their rate will be = 59 / 452 = 13.1% while for smokers of 61+ times = 50 / 156 = 32.1% and this rate will show clearly tat more accidents where caused by people who smoked 51+ times hence it should be used for graphical representation
B) accident rate for Non-smokers
= (59/452) * 100 = 13.05
accident rate for smokers between 1-10 times
= ( 36/ 229 ) * 100 = 15.72
accidents rate for smokers between 11 - 50 times
= ( 15/50 ) * 100 = 21.42
accidents rate for smokers 51+
= ( 50 / 156 ) * 100 = 32.05
attached below is the required graph
A student answered 42 problems on a test correctly and received a grade
of 70%. How many (total) problems were on the test, if all the problems
were worth the same number of points?
Answer:
Step-by-step explanation:
x is the number of questions on the test.
42/x = 70%
x = 42/70% = 42/0.70 = 60
write an equation to find the length of the side,x
Answer:
[tex] \huge \: x = 18 \: ft[/tex]Step-by-step explanation:
to understand thisyou need to know abouttrigonometryequationPEMDASTIPS AND FORMULAS:[tex] \sin( \theta) = \frac{opp}{hypo} [/tex][tex] \sin( {30}^{o} ) = \frac{1}{2} [/tex]given:opp:9[tex] \theta = {30}^{o} [/tex]let's solve:according to the question
[tex] \sin( {30}^{o} ) = \frac{9}{x} [/tex]
[tex] \frac{1}{2} = \frac{9}{x} [/tex]
[tex] \huge \therefore \: x = 18[/tex]
Can someone help me please
Answer:
C
B
C
A
B
B
C
Hope this helps!
What is X if [-1,-2,4,8]+x=[-5,-1,2,1]
Answer:
C) -4 1
-2 -7
Step-by-step explanation:
I got it right on Edge 2021
The value of x in expression is,
⇒ x = [- 4, 1, - 2, - 7]
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that;
The expression is,
[-1, -2, 4, 8] + x = [-5,- 1, 2, 1]
Now, We can simplify as;
x = [- 5, - 1, 2, 1] - [ - 1, - 2, 4, 8]
x = [- 4, 1, - 2, - 7]
Thus, The value of x in expression is,
⇒ x = [- 4, 1, - 2, - 7]
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1) How do you describe Ana in the selection?
Answer:
she develops a fair and healthy relationship with her classmate but also she elected the class president at their school
Step-by-step explanation:
vote me as the brainliest
Use the table to write a linear function that relates y to x .
x −2 −1 0 1
y 8 5 2 −1
The linear function is y= ?
Answer:
The linear function is [tex]y = -3x + 2[/tex]
Step-by-step explanation:
A linear function has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept(the value of y when x = 0).
In the table, we have that when x = 0, y = 2
This means that [tex]b = 2[/tex]. So
[tex]y = mx + 2[/tex]
Finding the slope:
We take two points, and the slope is given by the change in y divided by the change in x.
Points (0,2) and (1,-1)
Change in y: -1 - 2 = -3
Change in x: 1 - 0 = 1
Slope: [tex]m = \frac{-3}{1} = -3[/tex]
So
[tex]y = -3x + 2[/tex]
Write down the next 2 terms of this quadratic sequence:
1, 3, 7, 13, ..., ...
Step-by-step explanation:
[tex] {n}^{2} + (n + 1)[/tex]
where n starts from 0.
so the answer is :
16+5=21,
25+7= 32
Question 3 of 5
Is either x = 5 or x= 15 a solution to 25 – x= 5?
A. x= 15 is a solution, but x = 5 is not.
B. Neither is a solution.
C. They are both solutions.
O D. x = 5 is a solution, but x = 15 is not.
Answer:
B
Step-by-step explanation:
Neither is a solution because when you subtract 5 from 25 you get 20.
3 Leah surveyed the 35 members of her class to find out their favorite color. She listed this information in the form of a table, as shown here. Favorite Colors Colors Number of Students Choosing Colors Blue 14 Green 5 Yellow 7 Red 3 Orange 1 Maroon 5 Based on this information which is the best estimate of the number of people choosing red as a favorite color from a group of 175 people? (whoever shows work gets brainliest)
Answer:
15.
Step-by-step explanation:
If you add all of the marbles you will get 35 as the total.
Since there are 175 students, we can divided 35 by 175 and safely assume that for every marble, 5 people have chosen it.
This means that there are 3 red marbles, or that 15 people have chosen that marble.