Answer:
B
Step-by-step explanation:
side Ac is the opposite of angle B, therefore use the sin ratio to find ac since the hypotenuse is also given
sin B=opposite/hypotenuse
sin 27=ac/15
ac=sin27×15
=6.81
I hope this helps
Answer:
The extremes are 5 and 64.
The middle terms are 80 and 4.
Step-by-step explanation:
Given the proportion:
5 : 80 :: 4 :64
To find:
The extreme and middle terms of the given proportion.
Solution:
The given statement is in proportion if and only if the product of extremes i.e. the numbers at both the ends is equal to the product of middle numbers.
OR
First number
Fourth number = Second number
Third number
First of all, let us check the two products.
5
64 = 320
And the second product:
80
4 = 320
The product is same therefore, the given numbers are in proportion.
The extreme terms are the first and the fourth numbers.
i.e. The extremes are 5 and 64.
The middle terms are 80 and 4.
Answer:
=2mπ + π/3 for m ∈ Z.
Step-by-step explanation:
Given the equation
, we are to find all the values of
that satisfies the equation.

General solution for sin
is
= nπ + (-1)ⁿ ∝, where n ∈ Z.
If n is an even number say 2m, then
= (2m)π + ∝ where ∝ = 60° = π/3
Hence, the general solution to the equation will be
= 2mπ + π/3 for m ∈ Z.
<em>Data</em>
• Morning: 156 times
,
• Lunch: x times
,
• Afternoon: 201 times
,
• Whole day: 562 times
<em>Procedure</em>
To know how many times did it ring at lunch, we have to build a relation, in which we know that the addition of the times in the morning, lunch, and afternoon equal the times it rang the whole day:

Then, we have to solve for <em>x </em>considering that it represents the times it rang during the lunch.



Answer: It rang 205 times during the afternoon.
Answer:
áedw
Step-by-step explanation:
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