Which graph corresponds with the inequality x < 10 ?
1 answer:
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We'll use the Law of Cosines
We'll call
side a = length 5
side b = length 8
side c = length 10
and their corresponding angles as A, B and C
"C" would be the largest angle
cos (C) = (a^2 + b^2 - c^2) / 2 * a * b
cos (C) = (5^2 + 8^2 - 10^2) / 2 * 5 * 8
cos (C) = 25 + 64 -100 / 80
cos (C) = -11 / 80
cos (C) = <span> <span> <span> -0.1375 </span> </span> </span>
arc cosine ( <span> <span> <span> -0.1375 </span> </span> </span> ) = 97.903 Degrees
The largest angle is 97.903 Degrees
We'll call
side a = length 5
side b = length 8
side c = length 10
and their corresponding angles as A, B and C
"C" would be the largest angle
cos (C) = (a^2 + b^2 - c^2) / 2 * a * b
cos (C) = (5^2 + 8^2 - 10^2) / 2 * 5 * 8
cos (C) = 25 + 64 -100 / 80
cos (C) = -11 / 80
cos (C) = <span> <span> <span> -0.1375 </span> </span> </span>
arc cosine ( <span> <span> <span> -0.1375 </span> </span> </span> ) = 97.903 Degrees
The largest angle is 97.903 Degrees
Answer:
(B)15,36,39
Step-by-step explanation:
To determine which of the line segments could create a Right Triangle, we check if it satisfies the Pythagoras Theorem, taking the longest part to be the Hypotenuse in all cases.
By Pythagoras Theorem:
In 15,30,35
In 15,36,39
In 15, 20, 29
In 5,15,30
We can see that only 15,36,39 satisfies the required condition and thus it could be used to create a right triangle.
Answer:
The fraction of all the shapes are circles is
Step-by-step explanation:
There are two types of the shapes in a game.
Circle
Square
The ratio of number of white shapes to the number of black shapes is 5 : 11.
Consider there are 50 white shapes and 110 black shapes.
The ratio of the number of white circles to the number of white squares is 3 : 7.
Here 3/10 of the white shapes are circle and 7/10 are white squares.
The number of white circles can be obtained as follows,
White circles = 3/10 × 50
= 50
The number of white squares can be obtained as follows,
White squares = 7/10 × 50
= 35
The number of black circles to the number of black squares is 3/8.
The number of black circles can be obtained as follows,
Black circles = 3/11 × 110
= 30
The number of black squares can be obtained as follows,
Black squares = 8/11 × 110
= 80
The total number of circles is 30 + 15 = 45 and the total number of shapes is 50 + 110 = 160.
The fractions of all the shapes are circles are 45/160 which is simplified to 9/32
The fraction of all the shapes are circles is 9/32
