Answer:
p = 4.0
q = 2.0
angle <P = 64 degrees
Step-by-step explanation:
We can use the definition of cosine to find the value of side p (the adjacent side to the 26 degree angle, via the formula:
which rounded to the nearest tenth gives : p = 4.0
Now we use the sine function to help us determine side q:
which rounded to the nearest tenth gives:
q = 2.0
Finally, we determine the measure of angle P using the fact that the addition of all internal angles of a triangle must add to 180 degrees:
< P + < Q + < R = 180
< P + 26 + 90 = 180
< P = 180 - 26 - 90
< P = 64 degrees
Substitute y
6x + 5(2x – 14) = -6
use distributive property
6x + 10x – 70 = -6
add terms together
16x = 64
isolate x
16x/16 = 64/16
x = 4
to find value of y, use your x value in the second equation
y = 2(4) – 14
y = -6
Verify you are correct
6(4) + 5(-6) = -6
Answer:
Step-by-step explanation:
Probability of getting the newspaper on his front porch = P(A) = 0.64
Probability of finding the newspaper on his lawn = P(B) =? (We don't know, this is what we have to find.)
Total probability = 1
Formula, P(A) + P(B) = 1
Let's put all values in this formula,
0.64 + P(B) = 1
P(B) = 1 - 0.64
P(B) = 0.36
Thus, the probablity that Mr. Johnson finds his newspaper on his lawn is 0.36 or 36%.
Answer:
D. a = m + 30
Step-by-step explanation:
It's not A, because that would be dividing Malik's score in half to get Alexia's score.
B only works for the first line.
C is adding 10 to Malik's score, and the difference is greater than that...it's 30 points.
2(4x+16) = 18x-8
8x + 32 = 18x - 8
40 = 10x
x = 4
mRUT = (4*4+16) + (18*4-8)
mRUT = 32 + 64
mRUT = 96