Answer:
3/5
Step-by-step explanation:
sin is opposite divided by the hypotenuse ( longest side)
18 is the opposite of angle x and the hypotenuse is 30
18/30 = 3/5
Answer:
3 < c < 13
Step-by-step explanation:
A triangle is known to have 3 sides: Side a, Side b and Side c.
For a triangle, one of the three sides is longer than the other two sides. (The only exception is when we are told specifically that a triangle is an equilateral triangle, where all the 3 sides are equal to each other).
To solve the above question, we would be using the Triangle Inequality Theorem.
The Triangle Inequality Theorem states that the summation or addition of the lengths of any two sides of a triangle is greater than the length of the third side.
Side a + Side b > Side c
Side a + Side c > Side b
Side b + Side c > Side a
For the above question, we have 2 possible side lengths for the third side of the triangle. We are given in the above question,
side (a) = 5
side (b) = 8
Let's represent the third side as c
To solve for the above question,we would be having the following Inequality.
= b - a < c < b + a
= 8 - 5 < c < 8 + 5
= 3 < c < 13
Answer:
D
Step-by-step explanation:
Answer:
2 + (13/4)x = 1/2 + (11/2)y
Step-by-step explanation:
Let each jar of paint used by Liam be x
Let each jar of paint used by Evan be y.
Liam uses 2 quarts of yellow paints and adds 3 1/4 jars of blue paint. so we have
2 + 3 1/4x
= 2 + (13/4)x
Since Evan also uses 1/2 quarts of yellow paints and add 5 1/2 jar of red paint, we have
1/2 + 5 1/2y
= 1/2 + (11/2)y
Since they end up with the same volume of paint, we have
2 + (13/4)x = 1/2 + (11/2)y
