Answer:
A. 27 degrees, 63 degrees, 90 degrees.
Step-by-step explanation:
Let the angle of the triangle be x
<u>Given the following data;</u>
3 : 7 : 10 = 3x : 7x : 10x
We know that the sum of the sides of a triangle is equal to 180 degrees.
3x + 7x + 10x = 180
20x = 180
x = 180/20
x = 9
<u><em>For the first side;</em></u>
3x = 3 × 9 = 27°
<em><u>For the second side;</u></em>
7x = 7 × 9 = 63°
<em><u>For the third side;</u></em>
10x = 10 × 9 = 90°
Therefore, the ratio of the angles of the triangle is 27° : 63° : 90°.
I= Ishaan's age= 2C
C= Christopher's age
35 years ago means we have to subtract 35 from their current age. Ishaan minus 35 equals 7 times Christopher minus 35 years.
CHRISTOPHER'S AGE:
I - 35= 7(C-35)
substitute I=2C in for I
multiply 7 by all in parenthesis
2C - 35= 7C - 245
add 35 to both sides
2C= 7C - 210
subtract 7C from both sides
-5C = -210
divide both sides by -5
C= 42 Christopher's age
ISHAAN'S AGE:
I= 2C
substitute C=42 to find Ishaan's age
I= 2(42)
I= 84 Ishaan's age
CHECK:
Substitute answers in original equation
I - 35= 7(C-35)
84 - 35= 7(42-35)
49= (7*42)+(7*-35)
49= 294-245
49=49
Hope this helps! :)
Assuming that the person throwing the dart is not aiming for any particular part of the dartboard and that all darts thrown at the board don't miss the board, then we can make use of the area to get the probability
So,
P = A1 / (A1 + A2)
The formula for the area of regular octagon is
A = (1/2) (a) (8) (2a tan 180/8)
A = 8 a² tan 180/8
Where a is the apothem. Substituting, the answer would be
C.
0.27
The last option should be correct
Answer: 112 cups
Step-by-step explanation:
16x
16(7)
112 cups
