Answer:
c) 75
Step-by-step explanation:
180-155 = 25
80+25+x=180
x = 75
Let x be the price of Tanya's item. Tanya spent 5x, because she bought 5 of them.
The cost of Tony's item is x-1.75, because the price is 1.75 less than Tanya's. He spent 6(x-1.75), because he bought 6 of them.
They spent the same amount of money, so we have
So, Tanya's item costs 10.5, and Tony's item costs 8.75.
In fact, we have
The correct answer is option B which is the set of values that could be the side lengths of a 30-60-90 triangle are (6,6√3, 12).
<h3>What is the right-angled triangle?</h3>
A triangle has three angles of 30-60 and 90 degrees in which the two sides are perpendicular to each other.
The three sides of the triangle will be calculated by applying the Pythagorean theorem:-
The sum of the square sides will be equal to the square of the third side.
For sides (6,6√3, 12)
12² = 6² + (6√3)²
144 = 36 + (36 x 3)
144 = 36 + 108
144 = 144
Therefore the correct answer is option B which is the set of values that could be the side lengths of a 30-60-90 triangle (6,6√3, 12).
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Answer:
I tried my best..
Step-by-step explanation:
relative change
=
|
new
−
old
|
old
⋅
100
%
relative change
=
|
12
−
16
|
16
⋅
100
%
relative change
=
25
%
12
<
16
, so there is a decrease of
25
%
.
Firstly, solve for the value of angle C by using the concept that the sum of the three angles of a triangle should be 180 degrees.
C = 180 - (A + B) = 180 - (39 + 28) = 113 degrees
After which, use the concept of sine law which state that the ratio of sine of the angle to the side opposite to it should be equal,
(sin A / a) = (sin C / c) ; (sin 39 / 16) = (sin 113 / c)
Solving for c gives an answer of c = 23.40.