The ratio of points scored by 3 boys in a game is 7:10:12. If the sum of their scores is 232, what was the highest score?
Answers
Answer:
96 points
Step-by-step explanation:
Ratio problems can be solved like this:
Let x equal an unknown value.
Now, we can write an equation.
7x + 10x +12x = 232
We want to find 12x, so we have to find x first. We can simplify our equation to:
29x = 232
Now, divide both sides by 29.
x=8
We then solve for 12x by multiplying 8 and 12, and get 96 points.
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Answers
this gets you the -3(5) and then + 10 which -3(5)+10 = -5
I lost 5 cookies
Problem:
The initial temperature of a room is equal to 10 degrees Celsius. The temperature of the room decreases by 3 degrees per day. Find the temperature of the room in 5 days.
Solution:
The temperature of the room in five days is given by the expression:
Resolving the expression we have:
Therefore, the temperature of the room for day number 5 is equal to -5 degrees Celsius.
Answers
Answers
Answer:
Angle A = 98.1°
Angle B = 59.5°
Angle C = 22.4°
Step-by-step explanation:
When given vertices (x1,y1) ,(x2,y2), we would be using the formula:
√(x2 - x1)² + (y2 - y1)²
ABC has vertices A(-1,6), B(2,10) and C(7,-2)
Side AB = A(-1,6), B(2,10)
√(x2 - x1)² + (y2 - y1)²
= √(2-(-1))² + (10 - 6)²
= √(3² + 4²)
= √9+16
= √25
= 5
Side BC = B(2,10), C(7,-2)
√(x2 - x1)² + (y2 - y1)²
√(7-2)² + (-2 - 10)²
= √5² +(-12)²
= √(25 + 144)
= √169
= 13
Side AC = A(-1,6), C(7,-2)
√(x2 - x1)² + (y2 - y1)²
√(7-(-1))² + (-2 - 6)²
= √6² +(-8)²
= √(64 + 64)
= √128
= 11.314
To find the measure of each angle we would be using the cosine rule
Where
a² = b² + c² - 2bc × Cos A
b² = a² + c² - 2ac × Cos B
c² = a² + b² - 2ab × Cos C
Sketching a triangle we find out that
Side AB = c = 5
Side AC = b = 11.314
Side BC = a = 13
Hence
1) for Side BC = a
a² = b² + c² - 2bc × Cos A
Cos A = b² + c² - a²/ 2bc
Cos A = 11.314² + 5² -13²/(2 × 11.313 × 5)
A = arc cos[(11.314² + 5² -13²)/(2 × 11.313 × 5)]
A = 98.13°
To the nearest tenth = 98.1°
2) for Side AC = b
b² = a² + c² - 2ac × Cos B
Cos B = a² + c² - b²/ 2ac
Cos B = 13² + 5² - 11.314/2 × 13 × 5
B = arc cos[ (13² + 5² - 11.314)/(2 × 13 × 5)]
B = 59.49°
To the nearest tenth = 59.5°
3) for Side AB = c
c² = a² + b² - 2ab × Cos C
Cos C = a² + b² - c²/ 2ab
Cos C = 13² + 11.314² - 5²/ 2 × 13 × 11.314
C = arc cos[(13² + 11.314² - 5²)/ (2 × 13 × 11.314)]
C = 22.38°
To the nearest tenth = 22.4°
Answers
- If someone truly loves their family members, they would strive to keep them safe.
- I strive to keep my grades high.
- I strive to reach the rank Genius :P
Answers
1
s)
Can someone help me learn this. I dot understand how and im behind. Will give brainliest!
Answers
Answer:
s = 2
Step-by-step explanation:
6s - 4 = 8
Additive inverse of (-4) is 4. So, add 4 to both the sides
6s - 4 + 4 = 8 + 4
6s = 12
Now divide both the sides by 6.
s = 2
Answer:
5
Step-by-step explanation:
just know its 5