Answer:
Question 12: Find the slope from these two points: (-3,-3) and (-4,-8)
The formula for finding the slope from two points is attached to this answer.
So if we plug in our values that correspond to the formula we get the following:
First pair: -3 is our x1, -3 is our y1,
Second pair: -4 is our x2, -8 is our y2
-8--3/-4--3
-8+3/-4+3
-5/-1=5, Our slope is 5 for question 12
Question 18: Find the area of a circle with a diameter of 31.
Area=[tex]\pi r^2[/tex]
So we have [tex]15.5^{2} \pi[/tex]
240.25 times 3.14 is 754.385, if we round to the nearest whole number we receive 754 as our answer for question 18
Question 21: Find the measurement of a missing leg in a right triangle when given the hypotenuse and another leg
We know that the hypotenuse is 8cm and one of the legs is 5cm
the formula would be [tex]a^{2} +b^{2}= c^{2}[/tex] for the hypotenuse but this can be used to find the missing legs as well.
[tex]5^{2} +b^{2} =8^{2}[/tex]
[tex]25+b^{2} =64[/tex]
Subtract 25
[tex]b^{2} =39[/tex]
b would equal 6.44 something but the question said to round to the nearest whole number which would be 6.
Question 23: Find the volume of a cone
Radius: 10, height: 7
Formula to find the volume of a cone: 1/3 times 3.14 times r^2 times the height
1/3 times 3.14 times 10^2 times 7
1/3 times 3.14 times 700
1.046 (the 46 is repeating) repeating times 700
732.06 repeating, the 6 is repeating.
The question also asks us to round to the nearest whole number so the answer to question 23 would be 733
Question 26: Find the volume of a sphere
Radius is 6 and pi is 3.14
Formula: [tex]4\pi \frac{r^3}{3}[/tex]
So we have 4 times 3.14 times 6^3 divided by 3
4 times 3.14 times 108/3
4 times 3.14 times 36
12.56 times 36
452.16, I didn't see this answer listed on your worksheet, so please correct me if I'm wrong
Question 47: Probability of a number cube rolled many times to see how many times an even number is rolled.
Since this is a standard number cube there must be 6 sides, therefore half the numbers are even so
65 * 2 = 32.5, which rounds up to 33
33 is our answer to question 47
Hope I helped, have a nice day :)
