MATHEMATICS MIDDLE SCHOOL

Please help me! I'm having trouble solving this! In the △PQR, PQ = 39 in, PR = 17 in, and the height PN = 15 in. Find QR. Consider all possible cases.

Answers

Answer 1

Answer:

Answer: 44

Step-by-step explanation:

we will find RN and NQ, then add together to give us RQ.

To find RN;

RP= 17 PN = 15 and RN =?

using pythagoras theorem,

adj^2 = hyp^2 - opp^2

RN^2 = RP^2 - PN^2

?^2 = 17^2 - 15^2

?^2 = 289 - 225

?^2 = 64

? = √64

? = 8

RN=8

To find NQ,

PN = 15 PQ=39 and NQ=?

using pythagoras theorem

NQ^2 = PQ^2 - PN^2

?^2 = 39^2 - 15^2

?^2 = 1521 - 225

?^2 = 1296

? = √1296

? = 36

NQ= 36

RQ = RN + NQ

RQ= 8 + 36

RQ=44

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What is the means-to-MAD ratio of the two data sets, expressed as a decimal to the nearest tenth?Data Set 1: {85, 83, 90, 70, 87}
Data Set 2: {75, 74, 68, 83, 80}

Answers

Here is what I got for the first one.
MAD= 1/(N)*(|x1-xm|+|x2-xm|+..+|xN-xm|) =1/5(|85-83|+|83-83|+|87-83|+|90-83|+|70-83|) =1/5(2+0+4+7+13)) =5.2
And for the second one I got,
MAD= 1/(N)*(|x1-xm|+|x2-xm|+..+|xN-xm|) =1/5(|75-76|+|74-76|+|68-76|+|83-76|+|80-76|) =1/5(1+2+8+7+4)) =4.4

answer = 4.4

the answer is 1.3 the right answer

Which fraction is greater 6/6 or 6/8

Answers

First, turn both fractions in to a decimal, in order to do that you have to divide.

(6 divided by 6 = 1.00) and (6 divided 8 = .75)

Second, turn both decimals into a percent by moving the decimal to the right two times

(1.00 turned into 100) and (.75 turned into 75)

Third, Simply add a percentage sign after the number.

(100 turned into 100%) and (75 turned into 75%)

Finally, see what percentage is greatest.

100% or 75%

100% is greater, so 6/6 is your answer

Find a common denominator. The easiest way to do this is by multiplying 6 × 8 (=48.)

So now we have to make the numerators match the denominators, so multiply 6 by 8 for the first fraction, and 6 by 6 for the second frcation.

The first fraction now becomes:

$(48)/(48)$

whereas the second fraction now becomes:

$(36)/(48)$

Now it should be easier to see, so you tell me, which one is bigger?

$(48)/(48)$ or $(36)/(48)$ ?

Obviously it's the first one, as 48 is a bigger number than 36, so the correct answer is 6/6.

(Side note: whenever the numerator is the same as the denominator, it means that it is just 1 in decimal. Therefore, any other normal fraction (e.g. 6/8) would be smaller.)

A cylindrical can hold three tennis balls. The height of the stacked balls is 9 inches.~About what percentege of the volume of the can is NOT occupied by the tennis balls?
A 33%
B 45%
C 67%
D 75%

Answers

Since there are 3 and assuming that they're the same size each radius is 1.5, as is the radius of the base of the cylinder. So you have to figure out the volume of one of the balls and multiply it by three. Formula: (4/3) * pi * radius^3. The volume of all three is 42.42. Then you need to find the volume of the cylinder. formula: pi * h * r^2. So it is 63.62. You now take this measure and subtract the volume of the three balls: 21.2in^3. To find the percentage, take 21.2/63.62. Then multiply by 100. The answer is 33.32, so your final answer is A.

the answer to ur question is A 33%

Trying to figure out how many 15pt into cups?

Answers

In 1 pint there are 2 cups.
Therefore, in 15 pints there are 30 cups.

You should use the chart and keep it somewhere safe so you can always see it in case you need it, but I will give you this answer for now...
There's a big G (gallons), then in that G there are 4 q's (quarts), in each of those q's there's 2 p's (pints), and in each of the p's there's 2 c's (cups).
I'll leave a link in the comments to that chart if you want to copy it down or print it out.

What is 8.545 kilograms rounded to the nearest hundredth?

Answers

8.545 rounded to the nearest hundredth is 8.55. I think so because the number in the hundredth place is 4, the number on the right of it is 5. 5 is equal to 5 so the 4 turns into 5

Final answer:

8.545 kilograms rounded to the nearest hundredth is 8.55 kilograms.

Explanation:

The question is asking for the number 8.545 to be rounded to the nearest hundredth. The digit in the hundredth place is 4 and the number immediately following is 5. When rounding, if the number following the digit you are rounding to is 5 or more, you add one to the digit you're rounding to. Here, since it goes 545, or 45 is greater than or equal to 5, you round up. Therefore, 8.545 rounded to the nearest hundredth is 8.55 kilograms.

To round 8.545 kilograms to the nearest hundredth, we need to look at the digit in the thousandth place, which is 5. Since it is greater than or equal to 5, we round up the hundredth-place digit. Therefore, 8.545 kilograms rounded to the nearest hundredth is 8.55 kilograms.