Answer:
5,310
Step-by-step explanation:
6% of 4,500 is 270
270×3 is 810
810+4,500=5,310
Answer: A. y = -8x + 4 because the slope goes in front with the x (-8x) and the y intercept is after the slope (4)
Answer:
2/3
Step-by-step explanation:
Even numbers are 2,4,6,8,10,12,14
Multiple of 3 ( other than 6,12 ) are 3,9,15
P=10/15 (simplify by 5)
P=2/3
Answer:
(9, 6)
Step-by-step explanation:
<u>Midpoint formula is:</u>
- x = (x₁ + x₂)/2
- y = (y₁ + y₂)/2
<u>Having coordinates of one end- and midpoint </u>(-5, 12) <u>and</u> (2, 9)<u>:</u>
- x₁ = -5, y₁ = 12
- x = 2, y = 9
<u>we get the coordinates of the missing endpoint with coordinates</u> (x₂, y₂):
- x₂ = 2x - x₁ = 2*2 - (-5) = 4 + 5 = 9
- y₂ = 2y - y₁ = 2*9 - 12 = 18 - 12 = 6
<u>So the missing point is</u>: (9, 6)
Answer:
It is given that in triangle XYZ, XY = 13, YZ=20, and XZ=25.Using the law of cosines, we have
CosC=\frac{a^2+b^2-c^2}{2ab}
cosZ=\frac{(YZ)^2+(XZ)^2-(XY)^2}{2(YZ)(XZ)}
CosZ=\frac{(20)^2+(25)^2-(13)^2}{2(20)(25)}
CosZ=\frac{400+625-169}{1000}
CosZ=\frac{856}{1000}
CosZ=0.856
Z=cos^{-1}(0.856)
Z=37.13^{\circ}
Step-by-step explanation: