Answer:
m∠C = 38° (nearest whole number).
Step-by-step explanation:
To find the missing angle, use the Sine Rule.
<u>Sine Rule</u> (for angles)

where:
- A, B and C are the angles
- a, b and c are the sides opposite the angles
Given:
To find m∠C, substitute the given values into the formula and solve for C:




Therefore, m∠C = 38° (nearest whole number).
Learn more about the sine rule here:
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Answer:
White = 1.67 gallons
Blue = 0.33 gallons
Step-by-step explanation:
White : blue = 3 : 1
Total ratio = 3 + 1
= 4
Gallons = 2
White = 3 /4 × 2
= 6 /4
= 3/2 gallons
Blue = 1 / 4 × 2
= 2/4
= 1/2
If he later decide to dilute the color to a ratio of 5:1
Total ratio = 5 + 1
= 6
Total gallons = 2
White = 5 / 6 × 2
= 10/6
= 5/3 gallons
Or
= 1.67 gallons
Blue = 1 / 6 × 2
= 2 / 6
= 1/3 gallons
Or
= 0.33 gallons
Answer:
-6x + 17
Step-by-step explanation:
-(6x - 17)
= -6x + 17
=》Negative × negative = positive
=》 Positive × negative = negative
Hope it helps ⚜
5 equals the whole number 5?
Answer:
The simplified form of given expression is 3/5.
Step-by-step explanation:
The given expression is

We need to find the product of two factions using diagram.
For 3/4, draw a box and divide it in 4 equal parts by using vertical lines. The color three parts of it.
For 4/5, draw a box and divide it in 5 equal parts by using horizontal lines. Then color the four parts of it.
Now combined both boxes and shown below.
From the below figure it is clear that
The number of common shaded small boxes = 12
Total number of small boxes = 20
The required fraction is


Cancel out common factor.

Therefore, the simplified form of given expression is 3/5.