Reduce 30/36 to its most simple form.
1 answer:
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Answer:
m∠C = 38° (nearest whole number).
Step-by-step explanation:
To find the missing angle, use the Sine Rule.
<u>Sine Rule</u> (for angles)
where:
- A, B and C are the angles
- a, b and c are the sides opposite the angles
Given:
- A = 53°
- a = 18
- c = 14
To find m∠C, substitute the given values into the formula and solve for C:
Therefore, m∠C = 38° (nearest whole number).
Learn more about the sine rule here:
Answer:
He sold 32 apples, 40 peaches and 60 apples.
Step-by-step explanation:
We are given that
4 apples are sold every 5 peaches and
3 tomatoes are sold every 2 peaches.
i.e. the ratio is apples: peaches = 4 : 5 ...... (1)
and the ratio peaches: tomatoes = 2 : 3 ...... (2)
Peaches are the common link here in both the ratio terms.
Let us make the peaches value in both the <em>ratio as 10 </em>to make it equal in both the ratio terms.
Multiply (1) by 2 and (2) by 5:
The ratio becomes;
apples:peaches = 8:10
peaches: tomatoes = 10:15
In other words, the ratio becomes:
apples:peaches:tomatoes = 8:10:15
Let the number of apples =
Let the number of peaches =
Let the number of tomatoes =
We are given that total fruits are = 132
So, number of apples sold =
Number of peaches sold =
Number of tomatoes sold =
Answer:
The probability that all will last at least 30,000 miles is 0.3164.
Step-by-step explanation:
Consider the provided information.
For a particular tire brand, the probability of wearing out before 30,000 miles is 0.25. Someone who buys a set of four of these tires,
That means the probability of not wearing out is 1-0.25 = 0.75
Now use the binomial distribution formula.
Substitute p = 0.25, q=0.75, r=4 and n=4
The probability that all will last at least 30,000 miles is 0.3164.