Answer:
Angle I = 90 degrees
Angle J = 61 degrees
Angle K = 29 degrees
Step-by-step explanation:
Angle I is given
We know that the angles in all triangles add up to 180. Since we are given that angle I is equal to 90 degrees, we now know that angle J + angle K = 90 degrees:
(5x+26) + (2x+15) = 90
Solve for X:
7x + 41 = 90
7x = 49
x = 7
Angle J = (5x + 26) = (5(7) + 26) = 61
Angle K = (2x + 15) = (2(7) + 15) = 29
Checking your work: 61 + 29 = 90
Find the nth term of each of the sequences.<br>
(a) 16, 19, 22, 25, 28, ...<br>
(b) 1,3,9,27,81,...
juin [17]
Answer:
a) 16, 19, 22, 25, 28, 31, 34, 37, 40
b) 1, 3, 9, 27, 81, 243, 729, 2187
<h3>Explanation:</h3>
a) Add 3 on every number.
b) Multiply every number by 3.
Answer:
339π in³
Step-by-step explanation:
The amount of water is the difference between the volume of the cylinder and the volume of the ball. The appropriate volume formulas are ...
cylinder V = πr²h
sphere V = (4/3)πr³
For the given numbers, the volumes are ...
cylinder V = π(5 in)²(15 in) = 375π in³
sphere V = (4/3)π(3 in)³ = 36π in³
The water volume is the difference of these ...
water volume = cylinder V - sphere V
= 375π in³ - 36π in³ = 339π in³
11/12 divided by 3/4
11/12 • 4/3 (multiply by the reciprocal)
OR
Multiply from top to bottom
(11•4) • (12•3) = 44/36
Simplify (Divide top and bottom by the highest common factor... which in this case is 4)
Answer: 11/9
