Answer:
7
Step-by-step explanation:
4-(-3)=
4+3=
7
Answer:
refer to explanation
Step-by-step explanation:
the lengths of the base and height are the factors of 20
so they can be 5×4, 10×2, 1×20
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
9514 1404 393
Answer:
26, 37, 40, 48
Step-by-step explanation:
Whole numbers between 20 and 50 will have 10s digits in the range 2–5.
When 4 is added to these numbers, we get ...
2+4 = 6
3+4 = 7
4+4 = 8
5+4 = 9
When 4 is subtracted from these numbers, we get ...
2-4 = -2
3 -4 = -1
4 -4 = 0
5 -4 = 1
__
The numbers we can make using the given 10s digits and their corresponding 1s digit(s) are ...
26, 37, 40, 48
__
We note that any number with a 10s digit of 5 and a 1s digit other than 0 will be out of range.
The measure of n of the sector with the given area is: 100°
<h3>What is the Area of a Sector?</h3>
The area of a sector of a circle = ∅/360 × πr².
We are given that:
Area of the sector = 40π
Radius (r) = 12 units
∅ = n°
Plug in the values and solve for n
40π = n/360 × π(12²)
40π = n/360 × π144
Divide both sides by 144π
40π/144π = n/360 × 144π/144π
40/144 = n/360
40(360) = n(144)
14,400/144 = n
n = 100°
Learn more about the area of sector on:
brainly.com/question/22972014
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