Answer:
<u>scalene</u>
Step-by-step explanation:
Length of XZ = √3² + 4² = √25 = 5
Length of ZY = √1² + 7² = √50 = 5√2
Length of XY = √4² + 5² = √41
As all lengths are different, the triangle is <u>scalene</u>
Answer:
D. 2
Step-by-step explanation:
rise / run = slope
rise = 2
run = 1
2/1 = 2
slope = 2
9. The slope for this one is 21 bc y1-y2/x1-x2 is the slope formula and this can be used between any two points (I used the first two) -30-(-54)/ 7-11 which is -84/-4= 21
10. Rate of change is the same thing as slope so 4.5-5/18-20 which is -0.5/-2 which means the rate of change is 2.5
11. 23-39/1-3 which is -16/-2 which means the rate of change is 8
12. 5/4 is 1.25 so the sports drink costs 1.25$ each
Hope this helped :)
Short answer: r = 8
Remark
The easiest way to do this is to solve the sphere's volume in terms of pi. When you do this, you can equate that to the formula for a cylinder and cancel the pi values.
Step One
Find the volume of the sphere.
<em>Givens</em>
r = 6 cm
<em>Formula</em>
V = (4/3) pi r^3
<em>Sub and Solve</em>
V = 4/3 pi * 6^3
V = 288 * pi
Step two
Find the radius of the cylinder
<em>Givens</em>
V = 288* pi cm^3
h = 4.5 cm
<em>Formula</em>
V = pi r^h
<em>Sub and solve</em>
288 pi cm^3 = pi r^2 * 4.5 Divide both sides by pi
288 cm^3 = 4.5 r^2 Divide both sides by 4.5
388 / 4.5 = r^2
64 = r^2 Take the square root of both sides.
r = square root( 64)
r = 8 <<<<< Answer
Hello!
First off, when it is a < or > symbol, the circle is open.
When it is a ≤ or ≥ symbol, the circle is closed.
Therefore, the correct answer is C, because |x| can be -5 or 5, the graphed circles are closed, and the solutions are less than, not greater than -5 and 5.