note: f=fruit
y=yoghurt
2:3
f : y
f/y=2/3
=> 3*f=2*y
f=(2*y)/3
we know that f+y=185g
(2*y)/3+y=185g
(2*y+3*y)/3=185g
5*y/3=185
y=(185*3)/5
y=111g
=>the mass of the yoghurt is 111 g
Answer: the answer would be Y
Step-by-step explanation: I took the test
Answer:
26.8 pi or approx. 84.19
Step-by-step explanation:
Circumference can be found by multiplying the diameter by pi. The diameter is twice the radius, which in this case is 13.4, so it's 13.4 * 2 = 26.8.
Multiply by pi, and you've got your answer!
Answer:
about 2949 feet
Step-by-step explanation:
The geometry of the situation can be modeled by a right triangle. The height of the cliff can be taken to be the side opposite the given angle, and the distance to the coyote will be the side adjacent to the given angle. The relation between these values is the trig function ...
Tan = Opposite/Adjacent
__
<h3>setup</h3>
Filling in the known values, we have ...
tan(6°) = (310 ft)/(distance to coyote)
<h3>solution</h3>
Multiplying by (distance to coyote)/tan(6°) gives ...
distance to coyote = (310 ft)/tan(6°) ≈ 310/0.105104 ft
distance to coyote ≈ 2949.453 ft
The coyote is about 2949 feet from the base of the cliff.
Combine like terms: 18a - 8b -1