Answer:
C. 8
Step-by-step explanation:
I almost thought this was going to be Pythagorean Theorem, but no.
Use Cosine Law:
cos θ = 
θ = cos−1(0.6)
θ = 53.130...
Now use the SOHCAHTOA ratio for sine (
) to find x now that you have one angle:
sin θ = 
x = 10sinθ (θ isn't needed to be written out as it is shown in the equation above)
x = 8
5 because these numbers are all equally divisible.
A normal distribution is symmetrical about the mean. Therefore half of all young men are shorter than 68 inches.
Answer:
Quadrilateral ABCD is not a square. The product of slopes of its diagonals is not -1.
Step-by-step explanation:
Point A is (-4,6)
Point B is (-12,-12)
Point C is (6,-18)
Point D is (13,-1)
Given that the diagonals of a square are perpendicular to each other;
We know that the product of slopes of two perpendicular lines is -1.
So, slope(m) of AC × slope(m) of BD should be equal to -1.
Slope of AC = (Change in y-axis) ÷ (Change in x-axis) = (-18 - 6) ÷ (6 - -4) = -24/10 = -2.4
Slope of BD = (Change in y-axis) ÷ (Change in x-axis) = (-1 - -12) ÷ (13 - -12) = 11/25 = 0.44
The product of slope of AC and slope of BD = -2.4 × 0.44 = -1.056
Since the product of slope of AC and slope of BD is not -1 hence AC is not perpendicular to BD thus quadrilateral ABCD is not a square.
Answer:
Step-by-step explanation:
2 Loaves of Bread is = 2.25*2 = 4.5 cups
She used the remaining flour to make 48 muffins.
48/24 = 2
3.25*2 = 6.5 cups
6.5 cups + 4.5 cups = 11 cups
