Answer:
19 yards
Step-by-step explanation:
75 - 50 = 25
15 * 19 = 285
285 + 25 = 310
Answer:
D) log₁₀20x⁵-1 and E) log₁₀(2x⁵)
Step-by-step explanation:
5log₁₀x+log₁₀20-log₁₀10
5log₁₀x+log₁₀20-1
log₁₀x⁵+log₁₀20-1
log₁₀20x⁵-1 (Option D)
5log₁₀x+log₁₀20-log₁₀10
log₁₀20x⁵-log₁₀10
log₁₀(20x⁵/10)
log₁₀(2x⁵) (Option E)
Answer:
m∠QPR = 35° m∠QPM =40° m∠PRS = 30°
Step-by-step explanation:
ΔPRQ is a right triangle with right angle at R. So m∠QPR = 90 - 55 = 35
ΔQPM is a right triangle with right angle at M. So m∠QPM = 90 - 40 = 40
Arc RQ = 2(35) = 70 and arc SR = 2(25) = 50.
So arc PS = 180 - (arc RQ + arc SR) = 180 - (70 + 50) = 180 - 120 = 60
Now arc PS is the intercepted arc for ∠PRS.
Therefore, m∠PRS = 60/2 = 30
I used the fact that an inscribed angle has a measure 1/2 the measure of the intercepted arc several times. Also, I used the fact that the acute angles of a right triangle are complementary. And, finally I used the fact that an inscribed angle in a semicircle is a right angle.
I hope this helped.
Answer:
5/22
Step-by-step explanation:
A bag has 6 blue marbles, 4 red marbles, and 2 green marbles. Wo marbles are randomly chosen without replacement.
Total number of marbles =
6 blue marbles + 4 red marbles + 2 green marbles
= 12 marbles
The probability of picking a blue marble = P(B) = 6/12
Therefore, the probablilty that both marbles picked are blue without replacement is
= 6/12 × 5/11
= 30/132
= 5/22