Answer:
B = 15.1°, C = 34.9°, c = 39.6
Step-by-step explanation:
law of sines
53/sin 130 = 18/sin B
sin B = .26; B = 15.1°
C = 180 - 15.1 - 130 = 34.9°
c/sin 34.9 = 53/sin 130
c = 39.6
Our current equation is:
-8r -31 = -3(5r -6)
To solve for this, we need to get r on one side of the equation and then simplify if needed.
On the right side of the equation, we have a pending Distributive Property, which is when you multiply the number/variable outside of the parenthesis by all numbers/variables in the parenthesis.
Let's simplify this Distributive Property to help understand our equation better.
-3(5r -6)
Multiply -3 by each number/variable separately (unless they are already being multiplied, like 2x, 1/2x, etc).
-3(5r) + -3(-6).
-3(5r) = -15r
-3(-6) = 18 (both negatives need to be in parenthesis to keep a product as negative, and if you do not multiply them in that way, you will end up with a positive product).
Your equation now is:
-8r -31 = -15r + 18
Add 15r to both sides to get r on one side.
7r -31 = 18 is now our current equation.
Add 31 to both sides to get 7r by itself.
7r = 49 is now our equation.
r is still being multiplied by 7, so we need to do the opposite of multiplying by 7.
Divide both sides by 7.
r = 7.
I hope this helps!
Answer: 180 houses
Step-by-step explanation:
From the question, we are informed that in a village the number of houses and the number of flats are in the ratio 9:5 while the number of flats and the number of bungalows are in the ratio 10:3 and that there are 30 bungalows in the village.
Since the ratio of the number of flats and the number of bungalows are in the ratio 10:3 and there are 30 bungalows in the village, the number of flats will be:
= 10/3 × 30
= 10 × 10
= 100 flats
Since we are told that the ratio of the number of houses to the number of flats are in the ratio 9:5 and we've gotten the number of flats as 100, then the number of houses will be:
= 9/5 × 100
= 9 × 20
= 180 houses
Answer:
72°
Step-by-step explanation:
The cookie has a shape of a circle. A circle is the locus of a point such that its distance from a point (center) is always the same. The sum of angles around the circle center is 360°.
Let x be the measure of the angle in each slice. Therefore the sum of the total 5 slice is:
x + x + x + x + x = 360
5x = 360
Dividing through by 5:
5x / 5 = 360 / 5
x = 72°
Each slice has an angle measure of 72°
