Answer:
- 5/13
Step-by-step explanation:
tans = 5/12 = height/base
Using Pythagoras, hypotenuse = √12² + 5² = 13
Therefore coss had to be 12/13
But since cos s < 0, cos s = - 12/13
Thus,
tanA = sinA/cosA
tanA cosA = sinA
(5/12)(- 12/13) = sinA
- 5/13 = sinA
150 g flour for 12 cakes
x g flour for 30 cakes
x = (150 x 30) : 12 = 375 g of flour
another method:
150 flour for 12 cakes
??? for 30 cakes
30 : 12 = 2.5
150 x 2.5 = 375 g flour
To compare their speed (rate), we need to have the same time or same distance to use as a reference.
Matt ran 50 meters per 10 seconds. Molly ran 30 meters per 5 seconds. If she ran for 5 more seconds, she would have gone 30 more meters, for 30 meters per 10 seconds. Thus, Molly went faster.
Alternately, you could calculate their speeds in meters per (one) second and compare. 50 meters per 10 seconds is 5 meters per second, and 30 meters per 5 seconds is 6 meters per second.
Answer:
Angle 1, 2, 4 = 45 degrees
Step-by-step explanation:
2x+15 = x+30
-15 both sides
2x = x+15
-x both sides
x = 15
Plug x = 15 into x+30 or 2x+15
15+30 = 45
2(15)+15 = 45
Answer:
4 ft
Step-by-step explanation:
<h3>Area of rectangle:</h3>
Area = 30 square ft
base = 7.5 ft