Answer:
The number of boys who play tennis is 36.
Step-by-step explanation:
Let the number of boys who play tennis is x.
number of boys who play cricket = y
x = 3 y..... (1)
12 boys plays both cricket and tennis.
According to the question,
x - 12 = y + 1 2
3 y - 12 = y + 12
2 y = 24
y = 12
So, the number of boys who plays tennis is x = 3 x 12 = 36.
1/√2
Step-by-step explanation:
Imagine a right-angled triangle, for e.g. Triangle ABC,
Where
B = 90°
Remember your Toa Cah Soh.
sin 45° = opposite / hypotenuse
If theta = 45°
Angles A and C = 45° (Sum of angles in a triangle equal = 180°)
Since theta are the same, we can also deduce that the length AB and BC are the same.
Take for example AB = BC = 1 = opposite
By the Pythagorean theorem,
AB² + BC² = AC²
1² + 1² = AC²
2 = AC²
AC = √2 = hypotenuse
Therefore:
sin 45° = opposite / hypotenuse
sin 45° = 1/√2
Answer:
A triangle's angles sum to 180
Step-by-step explanation:
180-2-78
=180-80
=100°
Answer:
Maria made = $124.94
hope it helps
Step-by-step explanation:
if they made $187.41 and maria is getting twice a much as Andrew you'll divide 187.41 by 3 because maria is getting twice as more
187.41 ÷ 3 = 62.47
Andrew = 62.47
Maria = 62.47 x 2 = 124.94
to check your answer by adding 124.94 and 62.47 and should equal to the money made in total
124.94 + 62.47 = 187.41
The work inside parentheses cannot be carried out as shown, so the next approach to consider is multiplying the expressions inside the parentheses by -5 and 5 respectively:
-5 + 25x - 40x - 10 = -4x - 8x (Are you sure it's really "-4x - 8x"?)
Combining the x-terms:
-5 - 15x - 10 = -12x
Combining all like terms: -15 = 3x, so that x = -5 (answer)
