Answer:
9sqrt(3) in.
Step-by-step explanation:
The ratio of the lengths of the sides of a 30-60-90 triangle is:
short leg : long leg : hypotenuse
1 : sqrt(3) : 2
If the short leg measures 1, then the hypotenuse measures 2.
The length of the hypotenuse is twice the length of the short leg.
The length of the long leg is sqrt(3) times the length of the short leg.
If the hypotenuse measures 18 in., then the short leg measures 9 in.
Then the long leg measures 9sqrt(3) in.
#3). $124.16 will be in amount of deposit
#4) new balance, b = original balance + deposits - payments
=》 b =$782.14+$124.16 - ($450+$58.25)
=》 b = $398.05
Answer:
14.29cm
Step-by-step explanation:
Height of the building=10cm
Angle of depression=60°
We are therefore asked to find the distance from the stone to the
the foot of the building;Therefore we use Tan ratio which is opp/adj;
Let the distance from the stone to the foot of the building be x;
10/x=Tan60°
10/x=1.7/1
We then cross multiply to get 1.7x=10
x=10/1.7
=10*10/1.7*10
=100/17
=14.29cm.
She began with 20.
If she bought 7 more books and ended up with 17, that means she had ten beforehand. If she had half remaining, we simply double it, thus getting 20.
Answer:
21
Step-by-step explanation:
You can solve this by using 2 right angle triangles.
10 and 17 are both hypotenuses. The 8 is common to both
10 and 8
Length1 = sqrt(10^2 - 8^2) = sqrt(100 - 64) = sqrt(36) = 6
17 and 8
Length2 = sqrt(17^2 - 8^2) = sqrt(289 - 64) = sqrt(225) = 15
The third side
Length3 = Length1 + Length2
Length3 = 15 + 6
Length3 = 21
