Sorry, I haven't learned this yet ;-;
Answer:
- ∠R = 56°
- ∠Q = 90°
- ∠S = 34°
Step-by-step explanation:
The given triangle is a right angled triangle.
So, the angles in the triangle are :
- 90°
- (2x + 38)°
- (5x - 11)°
Solving according to <u>angle sum property</u>,
Sum of all angles in a triangle is 180°
90° + (2x + 38)° + (5x - 11)° = 180°
117° + 7x = 180°
7x = 180° - 117°
7x = 63°
x = 9
Angles =
2(9) + 38
56°
5(9) - 11
34°
- ∠R = 56°
- ∠Q = 90°
- ∠S = 34°
The angles are 56°, 90° and 34°.
Answer: $84.15
Step-by-step explanation:
We need to find 10% of $76.50 to add it to get the original number.
Formula to get 10% of $76.50: (10*76.50)/100=$7.65
Now we add $7.65 to get the original price
$76.50+$7.65=$84.15
The ratio is 4:5
so girls=4x
and boys=5x
(because you don't know how many boys or girls there are)
then the equation would be
4x+5x=18
9x=18
so x=2
then 2 times 4 which equals 8
and 2 times 5 which equals 10
so there are 8 girls and 10 boys
The heron formula is given by:
A = root ((s) * (s-a) * (s-b) * (s-c))
Where,
s = (a + b + c) / 2
We must calculate the third side of the triangle:
a + b + c = 50
Substituting:
22 + 13 + c = 50
Clearing c we have:
c = 50-22-13
c = 15
Substituting the values in the formula we have:
s = (22 + 13 + 15) / 2
s = 25
Then, the area will be:
A = root ((25) * (25-22) * (25-13) * (25-15))
A = 94.86832981
Rounding off we have:
A = 95 in ^ 2
Answer:
the area of triangle RST is:
A = 95 in ^ 2