Answer:
Step-by-step explanation:
Hello there!
The first thing we want to do is find the measure of the large leg
To do so we use the Pythagorean theorem which says
where a and b are legs and c is the hypotenuse
we want to find b given the hypotenuse and short leg
so
all we have to do is plug in a ( a = short leg so a would equal 12) and c ( c = hypotenuse so c would equal 37)
so
so the longer leg is equal to 35
35=5x
divide each side by 5
5x/5=x
35/5=7
we're left with x=7
Answer:
Step-by-step explanation:
Given that,
Radius of the cone, r = 5 units
Height of the cone, h = 6 units
We need to find the volume of the cone. The formula for the volume of the cone is given by :
Substitute all the values,
So, the volume of the cone is .
Answer:
105 degrees
Step-by-step explanation:
You first add 5 and 7 which gives you 12. Then, since two supplementary angles add up to 180, you divide 180 by 12 which gives you 15. Next, since 7 is the larger of the two, multiply 7 by 15 giving you 105. To check your work, subtract 105 from 180 giving you 75. Next, put this as a fraction- 75/105 and simplify giving you 5/7 which can also be written as 5:7.
Answer:
16. c)
12. b)
10. c)
2. a) <- you were right
4. a)
Step-by-step explanation:
16. 10x - 2y = -6
-2y/-2 = (-10x - 6)/-2
y = 5x + 3
12. x + y = -3
y = -x - 3