The lowest common denominator is lcm(5, 3), which is 15.
The sum of 2/5 + 5/3 + 9/3 is 6/15 + 25/15 + 45/15, which is 76/15 or .
Answer:
x = 10°
Step-by-step explanation:
The diagonals of a rhombus divide the figure into congruent right triangles. That means the two marked acute angles are complementary.
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<h3>solve for x</h3>
Complementary angles total 90°, so the relation we can use to find x is ...
(3x -13) +(8x -7) = 90
11x = 110 . . . . . . . . . add 20
x = 10 . . . . . . . . . divide by the coefficient of x
The value of x is 10°.
Answer:
B
Step-by-step explanation:
Volume of the cone is 117.5 π ft³
<u>Step-by-step explanation:</u>
Lateral area of the cone = πrs
s is the slant height = 15 ft
From the above formula, we can find the radius as, 5 ft.
Volume of the cone = π r² h/3
s = √ (5²+ h²)
Squaring on both sides, we will get,
s² = 15² = (5² + h²)
15² - 5² = h²
225 - 25 = 200 = h²
h = √200 = 14.1 ft
Volume = π × 5² × 14.1 / 3 = 117.5 π ft³
Zero pair is a pair of numbers whose sum is zero, used to illustrate addition and subtraction problems... with positive and negative integers.
e.g. +1 -1
I hope that this helps
:)