The table below shows the relationship between the number of calories burned and the minutes of exercise.
1 answer:
Answer:
Option B
Step-by-step explanation:
Since, number of calories 'C' burned is proportional to the number of minutes (m) given to the exercise,
C ∝ m
C = km
Where k is the proportionality constant.
From the table attached,
For C = 250 calories and m = 30 minutes,
250 = 30k
k =
=
Therefore, equation representing this situation will be,
C =
Option B will be the correct option.
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Step-by-step answer:
Please refer to attached image.
1. Quad PQRS is cyclic (all vertices on the same circle), so opposite angles are supplementary, meaning
that
angles QPS and QRS are supplementary =>
QPS+QRS=180 =>
QRS = 180 - 74 = 106
2. Triangle RSQ is isosceles with RS=RQ =>
angles RSQ and RQS are congruent.
3. Angle RSQ = (180 - 106) /2 = 74 / 2 = 37
4. QP is a diameter => angle QSP is a right-angle.
5. From (3) and (4) above,
angle RSP = 37+90 = 127
6. Since PQRS is cyclic, angles RQP and RSP are supplementary =>
RQP+RSP = 180 =>
x + 127 = 180 =>
x = 180 - 127 = 53 degrees.
Answer:
-18
Step-by-step explanation:
5a2-7-b3
Therefore, -18 is your answer.
Hope this helped! :)