Answer:
y = 11.54°
Step-by-step explanation:
Reference angle = y°
Opposite side length = 4
Hypotenuse = 20
Apply trigonometric function SOH:
y = 11.536959° ≈ 11.54° (nearest hundredth)
Answer:
Both statements are sufficient to answer the question
Step-by-step explanation:
Given:
- The paint mixture has following proportions:
Total volume of paint = T
Blue: x*T / 100
Green: y*T/100
Red: z*T/100
Find:
Statement 1: x = y
Statement: z = 60
Which of the above statement is sufficient to calculate the amount of green paint used
Solution:
Statement 1:
- The amount of blue paint used is:
1 gallon = x*T / 100
- x = y,
1 gallon = y*T / 100
Hence,
Amount of green paint used is 1 gallon
- The statement is sufficient
Statement 2:
- The amount of red paint used is:
3 gallon = z*T / 100
T = 300 / z = 300 / 60 = 5 gallons
T = R + B + G
G = T - R - B
G = 5 - 3 - 1
G = 1 gallons
Hence,
Amount of green paint used is 1 gallon
- The statement is sufficient
Answer:
Condition A.
A rectangle with four right angles
There can be many quadrilaterals satisfying this condition.
Condition B.
A square with one side measuring 5 inches
There can be only one quadrilateral satisfying this condition.
Condition C.
A rhombus with one angle measuring 43°
There can be many quadrilaterals satisfying this condition.
Condition D.
A parallelogram with one angle measuring 32°
There can be many quadrilaterals satisfying this condition.
Condition E.
A parallelogram with one angle measuring 48° and adjacent sides measuring 6 inches and 8 inches.
There can be only one quadrilateral satisfying this condition.
Condition F.
A rectangle with adjacent sides measuring 4 inches and 3 inches.
There can be only one quadrilateral satisfying this condition
Step-by-step explanation:
Answer:
Step-by-step explanation:
(3x+1)(x-3)-(2-2x^2-3x)
3x^2+x-9x-3-2+2x^2+3x
3x^2+2x^2+x-9x+3x-3-2
5x^2-5x-5
the constant term in the simplified expression is -5.
0.17
Explain: looked it up and also use Symbolab it’s a math calculator
