Answer:
B 3x: 51 = 3x+24: 85
Step-by-step explanation:
Since the triangles are similar
PS PQ
------- = -----------
PT PR
Substitute the values in
3x 3x+24
------- = -----------
51 85
3x: 51 = 3x+24: 85
Answer:
38.1 cm²
Step-by-step explanation:
area of full circle = π6² = 113.04 cm²
area of 150° segment = (150/360)(113.04) = 47.1 cm²
triangle base = sin 75° x 6 x 2 = 11.59
triangle height = cos 75° x 6 = 1.553
area of triangle = 1/2(11.59)(1.553) = 9 cm²
150° segment - triangle = 47.1 - 9 = 38.1 cm²
Answer:
(4,1,3)
Step-by-step explanation:
Answer:
a) 7 weeks b) George's
Step-by-step explanation:
Sally's score can be modeled by 10x+850.
George's score can be modeled by 50x+570.
We can set them equal to each other to see when they intersect.
10x+850=50x+570
40x=280
x=7
If George overtakes her in the 7th week, of course he'll have the higher score in 12 weeks.
D. 2:3..
Ratios are basically fractions. Find a number that both numbers in the ration can divide into. In this case, it's 3. 18/3 is 6 and 27/3 is 9. but you're still not done, because 6/3 is 2 and 9/3 is 3