Answer:
7
Step-by-step explanation:
Because 9 can go into 63, 7 times.
On a coordinate plane, square p q r s is shown. point p is at (4, 2), point q is at (8, 5), point r is at (5, 9), and point s is at (1, 6). which statement proves that the diagonals of square pqrs are perpendicular bisectors of each other? the length of sp, pq, rq, and sr are each 5. the slope of sp and rq is negative four-thirds and the slope of sr and pq is three-fourths. the length of sq and rp are both startroot 50 endroot. the midpoint of both diagonals is (4 and one-half, 5 and one-half), the slope of rp is 7, and the slope of sq is negative one-sevenths.
A statement which proves that the diagonals of square PQRS are perpendicular bisectors of each other is: option D.
How to calculate the slope of a line?Mathematically, the slope of a line is given by the following formula;
[tex]Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]
For line RP, we have:
[tex]Slope = \frac{9\;-\;2}{5\;-\;4}\\\\Slope = \frac{7}{1}[/tex]
Slope RP = 7.
For line SQ, we have:
[tex]Slope = \frac{6\;-\;5}{1\;-\;8}\\\\Slope = \frac{1}{-7}[/tex]
Slope SQ = negative one-sevenths.
For the midpoint, we have:
In order to determine the midpoint of a line segment with two (2) endpoints, we would add each point together and divide by two (2).
Midpoint on x-coordinate = (8 + 1)/2 = 9/2 = 4.5.
Midpoint on y-coordinate = (9 + 2)/2 = 11/2 = 5.5.
In conclusion, a statement which proves that the diagonals of square PQRS are perpendicular bisectors of each other is that the midpoint of both diagonals is (4.5, 5.5), the slope of RP is 7, and the slope of SQ is negative one-sevenths.
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Answer:
D. The midpoint of both diagonals is (4 1/2, 5 1/2) , the slope of RP is 7, and the slope of SQ is - 1/7.
Step-by-step explanation: I just did it on edge 2023. Hope this helps!
Find the radius. Will mark branliest.
Answer:
[tex]\sqrt{10}[/tex]
Step-by-step explanation:
Define your points x1, y1 and x2, y2
(x1,y1) = (-4,-2)
(x2,y2) = (-5,1)
Use the distance formula, the distance between the center and that point is the radius of the circle.
[tex]\sqrt{(x2-x1)^{2} +(y2-y1)^{2}}\\\sqrt{(-5--4)^{2} +(1--2)^{2}}\\\\\sqrt{(-1)^{2} +(3)^{2}}\\\\\sqrt{1 +9}\\\\\sqrt{10}\\[/tex]
A group of students was surveyed to determine which of three types of foods they liked. Use the
diagram to answer the question.
Answer:
10
Step-by-step explanation:
Its outside the graph
Which of the following is equivalent to the complex number i^5
Choose 1 answer:
1
i
-1
-i
Answer:
i
Step-by-step explanation:
i = [tex]\sqrt{-1}[/tex] ⇒ i² = ([tex]\sqrt{-1}[/tex] )² = - 1 , then
[tex]i^{5}[/tex]
= i² × i² × i
= - 1 × - 1 ×i
= 1 × i
= i
The volume of the following figure = ___________ cm3.
a rectangular prism with base of triangle of 8 cm, height of triangle of 3 cm, and length of prism of 12 cm.
144
288
216
72
Answer:
288
Step-by-step explanation:
12 x 8 x 3 = 288
Answer:
144
Step-by-step explanation:
1/2 x (8) x (3) = 12
(12) x (12) = 144
Tim took a total of 14 quizzes over the course of 7 weeks. How many weeks of school will Tim have to attend this quarter before he will have taken a total of 16 quizzes?
Answer:
8
Step-by-step explanation:
divide 14 by 7 to get 2. IT is 2 tests a week so multipy 7 by 2 to get 14 then just add 2 to get 16. you added two meaning you added a week because each week is two tests so the answer will be 8 weeks.
Tim have to attend a total of 8 weeks this quarter before he will have taken a total of 16 quizzes.
What is unitary mehtod?The unitary method is a process for solving a problem by first finding the value of a unit, and then finding the necessary value by multiplying the single unit value.
How to calculate how many weeks of school will Tim have to attend?According to the problem,
Tim took 14 quizzes over the course of 7 weeks.
∴ Tim can take 1 quiz over the course of [tex]\frac{7}{14}[/tex] weeks
Tim can take 16 quizzes over the course of [tex](\frac{7}{14})[/tex] x 16 weeks = 8 weeks
∴ Tim can take 16 quizzes over the course of 8 weeks.
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Find The Volume Show Your Work Please
Answer:
Step-by-step explanation:
The owners of a manufacturing company conducted a survey to determine the mean income of the customers who prefer the company’s brand of clothing. From a random sample of 100 customers, it was determined that their mean income was $47,600. Which conclusion can be made based on this information?
The total population mean must be much greater than $47,600 because there are more people in the total population.
The total population mean cannot be determined by such a small random sample.
The total population mean must be close to $47,600 based on statistical inference.
The total population mean must be much less than $47,600 because, out of a sample of 100, a few people with a very high mean income would skew the data.
The total population mean must be close to $47,600 based on statistical inference.
The entire population mean must be close to $47,600. Then the correct option is C.
What is Mean?The mean is the simple definition of the average of a bunch of numbers. In statistics, one of the markers of central tendency is the mean.
The average is referred to as the arithmetic mean.
It's the ratio of the number of real observations to the total number of observations.
The owners of a manufacturing company conducted a survey to determine the mean income of the customers who prefer the company’s brand of clothing.
From a random sample of 100 customers, it was determined that their mean income was $47,600.
Based on statistical analysis, the entire population mean must be close to $47,600.
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roll your pair of dice 30 times, each time recording a success if one (or both) of the dice show a multiple of 3, that is, 3 or 6, and a failure if the dice do not show a multiple of 3. enter # of successes/# of failures.
Answer:
90
Step-by-step explanation:
multiples of 3 = 1, 3.
to it's given sequence or multiple the multiplication of 30 dice multiplied by it's multiple gives us 90
A. 611.18 b. 431.59 c. 395.59 d. 1,042.37. ASAP PLEASEE
Answer: B. 431.59
Step-by-step explanation:
1.6*12 =19
90*2 = 180
circle area = pier^2
127.25 for upper and 88.35 for lower
triangle is just the square / 2
i rounded so my answer is not exact but b should be correct
A bag contains 7 white marbles, 3 blue marbles, and 15 red marbles (and no other marbles). One marble is chosen without looking
What is P(red)?
Enter your answer, as a fraction in simplest form, in the box
Answer:
The probability of being red is 15 to 15 + 7 + 3
15 3
---- = -----
25 5
Mr. White spent 20% of his savings on a wallet and had $36 left.
He then spent 30% of the remaining amount of money on a tie.
Answer:
Mr. white started with 45 dollars, he spent 9 dollars on a wallet and was left with 36, he then spent 15 dollars on a tie and was left with 21 dollars.
Step-by-step explanation:
45 * 0.8 = 36
he started with 45 dollars
30 * 0.7 = 21, in the end he was left with 21 dollars
Tina used 2 1/2 gallons of paint to cover 1/8 of her wall. How much paint is needed to cover her entire wall?
IMAGE BELOW I WILL GIVE BRANLIEST
Answer:
5.831
Step-by-step explanation:
formula: a squared + b squared= c squared
3 squared= 9
5 squared = 25
sqrt rt of total is 5.831
Combination...
Selecting a dance troupe with 6 girls and 7 boys out of 20 girls and 15 boy who auditioned
The total combination will be, 45195 if the selecting dance troupe with 6 girls and 7 boys out of 20 girls and 15 boys who auditioned.
What is permutation and combination?A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.
We have:
Selecting a dance troupe with 6 girls and 7 boys out of 20 girls and 15 boys who auditioned.
It is a combination problem:
Selecting 6 girls out of 20 = C (20, 6)
Selecting 7 boys out of 15 = C (15, 7)
Total combination = C (20, 6) + C (15, 7)
= 38760 + 6435
= 45195
Thus, the total combination will be, 45195 if the selecting dance troupe with 6 girls and 7 boys out of 20 girls and 15 boys who auditioned.
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Find the equation of a line perpendicular to y=−2/3x+1
A. y=−2/3x+5
B. y=3/2x
C. y=2/3x+1
D. y=−3/2x+4
The correct equation must have a slope of 3/2. The required equation is y=3/2x
Equation of perpendicular line
The standard equation of a line is y = mx + b
where;
m is the slope
b is the y-intercept
Given the following equation
y=−2/3x+1
The slope of the line is -2/3
For two lines to be perpendicular, the product of their slope must be zero.
mm1 = 01
-2/3m = -1
m = 3/2
This shows that the correct equation must have a slope of 3/2. The required equation is y=3/2x
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I will give you 100 points
Answer:
m∠C = 110.9° (1 dp)
Step-by-step explanation:
The largest angle in a triangle is opposite the longest side.
Therefore, from inspection of the diagram, angle C is the largest angle since length AB is the longest side length.
To find angle C, use the cosine rule:
[tex]\sf c^2=a^2+b^2-2ab \cos C[/tex]
(where a, b and c are the sides, and C is the angle opposite side c)
Given:
a = BC = 11cmb = AC = 7 cmc = AB = 15 cmSubstituting the given values into the formula and solving for C:
[tex]\implies \sf c^2=a^2+b^2-2ab \cos C[/tex]
[tex]\implies \sf 15^2=11^2+7^2-2(11)(7) \cos C[/tex]
[tex]\implies \sf 225=170-154 \cos C[/tex]
[tex]\implies \sf \cos C=\dfrac{225-170}{-154}[/tex]
[tex]\implies \sf \cos C=-\dfrac{5}{14}[/tex]
[tex]\implies \sf C=\cos ^{-1}\left(-\dfrac{5}{14}\right)[/tex]
[tex]\implies \sf C=110.9248324...^{\circ}[/tex]
Therefore, m∠C = 110.9° (1 dp)
Answer:
see photo for detailed analysis
The ratio of inmates to guards at the
asylum is 6:1. If there are 108 guards at
the prison how many inmates are there?
Answer:
648
Step-by-step explanation:
108X1=108 so 108X6=648
might be the last question for today in math
Answer:
There is no Quadrant V only
Quadrant I
Quadrant II
Quadrant III
Quadrant VI
Answer:
That would be quadrant V
Step-by-step explanation:
Because Quad means 4 and in roman V
Hence, the answer is Quadrant V
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Alge Chapter 5 For 1-4, solve and graph on a number line. 1)-3x + 2 > 17 2) 4(x - 2) + 3 < -25 3) 15 < 2x + 3 < 21 4) 12 < -3(x - 2) = 27
Answer:
i think that the answer is b
Step-by-step explanation:
lmk if im wrong
Please correct if it's not right what I did and also what's for b)?
Answer:
The gradient is 20
Step-by-step explanation:
Gradient = Change in Charge / change in hours worked.
Gradient = 200 - 80/ 6 - 0
= 120/ 6
= 20
b. The gradient of the line represents the amount the plumber charges per hour
each of the letters in the word calculator are on separate cards, face down on the table. if you pick a card at random, what is the probability that its letter will be c or l
Answer:
3/10 chance.
Step-by-step explanation:
Since Theoretical Probability is number of favorable outcomes over number of total outcomes, You can see it here that there are two l's and one c. This means that you will have 3 chances to get the letter you want. There are also 10 different letters. This means that you have a 3/10 chance of getting an l or c.
After reducing the regular selling price by 1/8, sepaba inc. sold a stereo set for $300. what was the regular selling price?
Answer:
about 342.86
Step-by-step explanation:
300 is only 7/8 the value of the original so you know
7/8x = 300
solve for x
you get 342.86
PLEASE HELP!!
What was the average number of locations chosen per potential customer?
Answer: D.2
Step-by-step explanation:
First,
Add all the number together.
32+24+16+8
=80
Next,
80 divided by amount of customers.
80 / 40 = 2
Therefore the average is 2.
Giving brainliest!!!!
Answer:
x = 21 degrees or A
Step-by-step explanation:
7x - 3 + 2x - 6 = 180
9x - 9 = 180
9x = 189
x = 21
Find the volume of the solid generated by revolving the region bounded by the given curve and lines about the x-axis
The volume of the solid generated by revolving the region bounded by the given curve and lines y = 2x, y = 2, x = 0 about the x-axis will be
V = 8π/3
What is volume integration?When the integration is done in the three dimensions in the three coordinates x,y and z then we will call it as a volume integration.
I set y=2x = y=2 to find where the intersect each others so I can have my boundaries for integration.
You goal is to find the area so you can integrate around that area. We're revolving around the x-axis so the area will be a circle.
V = ∫A(x)dx = ∫(πr²)dr
Since we have two different radius, we subtract them from each others.
∫(πr₂² - πr₁²)dr
∫(π(2)² - π(2x)²)dr
∫(4π - 4πx²)dr
4π∫(1 - x²)dr
integrate from 0 to 1 since that's where our boundary is.
V = 4π∫(1 - x²)dr = 8π/3
Hence the volume of the solid generated by revolving the region bounded by the given curve and lines y = 2x, y = 2, x = 0 about the x-axis will be V = 8π/3
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Can someone help me with this question
Step-by-step explanation:
1/5 + 3/5 = 3/5 + 1/5 = 4/5
I am not sure what your teacher wants to see on the right side of the second equation.
it would be the whole equation again :
4/5 = 1/5 + 3/5 = 3/5 + 1/5
what is the slope of the line (-5,7) and (7,2)
Answer:
0.416
Step-by-step explanation:
HELP I NEED HELP ASAP
Which of the following equations are linear functions?
I. 3x + 4y = -6
II. y = -4x + 7
III. 5x2 + 3y = 12
Answer:
1 and 2 are linear functions.
Step-by-step explanation:
An Electric company attaches support cables to a light pole by 24 feet from the ground and 7 feet from the base of the pole.
How long is each support cable in feet?
Answer:
25
Explanation:
As can be seen from the figure:
The length of each support cable is:
√ 24² + 7² (pythagorean
theorem/
√576 +49
= √625
= √25²
25 feet
so the answer is 25