Answer:
x = 89
Step-by-step explanation:
The sum of the angles of a triangle add to 180 degrees
x+32+ 59 = 180
Combine like terms
x + 91 = 180
Subtract 91 from each side
x +91-91= 180-91
x = 89
<u>Answer:</u>
- Greatest number: 98750
- Least number: 5789
<u>Explanation:</u>
<em>To find the greatest number with the following values, we must arrange the numbers in descending form. </em>
<em>=> We can clearly tell that the numbers in descending form is 9 > 8 > 7 > 5 > 0</em>
<u>Hence, the greatest number with the following numbers (5,0,8,9, and 7) will be 98750.</u>
<h3>__________________________________________________</h3>
<em>To find the least number with the following values, we must arrange the numbers in ascending form.</em>
<em>=> We can clearly tell that the numbers in ascending form is 0 < 5 < 7 < 8 < 9</em>
<u>Hence, the least number with the following numbers (5,0,8,9, and 7) will be 5789</u>
D 32 miles to the gallon
976 divided by 30.5 equals 32
Expanded form:
9.0+0.80+0.05
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
