Answer:
q = 14
General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Equality Properties
- Complementary Angles: Angles that add up to 90°
Step-by-step explanation:
<u>Step 1: Set up equation</u>
<em>The 2 angles must add up to 90°.</em>
(4q - 5)° + 39° = 90°
<u>Step 2: Solve for </u><u><em>q</em></u>
- Combine like terms: 4q + 34 = 90
- Subtract 34 on both sides: 4q = 56
- Divide both sides by 4: q = 14
Answer:
Option F
Step-by-step explanation:
Let the number be n.
Sum of a number and 5 is n + 5.
Sum of a number and five divided by fifteen is
( n + 5 ) / 15
Answer:
See Explanation
Step-by-step explanation:
8. (1)
Area of trapezoid = 1/2(sum of || sides) *perpendicular distance
36 =1/2(x+ y) * 6
36 = ((x + y)*3
36/3 = x + y
12 = x + y
x + y = 12.... (1)
8(2)
It is given that:
x = 2y....(2)
From equations (1) & (2)
2y + y = 12
3y = 12
y = 12/3
y = 4
From equation (2)
x = 2y = 2*4
x = 8
9.
Area of square = 1 square m
Side of square = 1 m
Area of circle = 1 square m
To figure out the size of a rectangle that would represent the swimming pool, you will use the formula for volume of a rectangle or prism to solve for the area of the base.
V = Bh
1200 = 5B
B = 240 square feet
To get an area of 240 ft.², you could use the dimensions 10' x 24'. Another possibility would be 8' x 30'.
(1,4)
(4,1)
(2,3)
(3,2)
so there are 4 different combinations that equal 5
6 x 6 = 36 total possible outcomes of the dice
so they have a 4/36 reduces to 1/9 probability of equaling 5
