Answer:
83 degrees.
Step-by-step explanation:
The angle of this line is 180. So take 180 - 97 and you should get 83 degrees. Hope this helped!
-Kirito
Answer:
The first one: A shape is a rectangle if and only if the shape has exactly four sides and four right angles.
Step-by-step explanation:
The true statement is the first one:
A shape is a rectangle if and only if the shape has exactly four sides and four right angles.
She earned 661.50 dollars. If she worked 7.5 hrs each day Mon-Wed, she worked 22.5 hrs from Mon-Wed because 7.5 times 3 is 22.5. She also worked 6 hrs on Sat. and 5.25 hrs on Sun., so in total, she worked 33.75 hrs last week. To find out her pay, we have to multiply the total hrs by the amount she gets payed, 19.60. 33.75x19.60 is 661.50, the amount she got payed last week.
Answer:
1. x = 2√3 or 3.46
2. y = 4√3 or 6.93
3. z = 4√6 or 9.80
Step-by-step explanation:
1. Determination of the value of x.
Angle (θ) = 60°
Opposite = 6
Adjacent = x
Tan θ = Opposite /Adjacent
Tan 60 = 6 / x
√3 = 6/x
Cross multiply
x√3 = 6
Divide both side by √3
x = 6 / √3
Rationalise
x = (6 / √3) × (√3/√3)
x = 6√3 / 3
x = 2√3 or 3.46
2. Determination of the value of y.
Angle (θ) = 60°
Opposite = 6
Hypothenus = y
Sine θ = Opposite /Hypothenus
Sine 60 = 6/y
√3/2 = 6/y
Cross multiply
y√3 = 2 × 6
y√3 = 12
Divide both side by √3
y = 12/√3
Rationalise
y = (12 / √3) × (√3/√3)
y = 12√3 / 3
y = 4√3 or 6.93
3. Determination of the value of z.
Angle (θ) = 45°
Opposite = y = 4√3
Hypothenus = z
Sine θ = Opposite /Hypothenus
Sine 45 = 4√3 / z
1/√2 = 4√3 / z
Cross multiply
z = √2 × 4√3
z = 4√6 or 9.80
Answer:
radius = 7 units
Step-by-step explanation:
Given:
Radius = 7 units
Find area of 4 circles:
1 circle = π (7)² = 49π units²
4 circles = 49π x 4 = 196π units²
Find radius of sphere:
4πr² = 196π
r² = 49
r = 7
