Answer:
Both boats will be 54 miles apart after 3 hours.
Step-by-step explanation:
Given that from a point on a river, two boats are driven in opposite directions, one at 7 miles per hour and the other at 11 miles per hour, to determine how many hours they will be 54 miles apart, the following calculation must be performed :
54 / (11 + 7) = X
54/18 = X
3 = X
Therefore, both boats will be 54 miles apart after 3 hours.
Answer:
120°
Step-by-step explanation:
All the angles of an equilateral triangle are equal, and hence have a measure of 60°.
∵ ∠AGF is a part of equilateral Δ AGF, m∠AGF = 60°.
∵ ∠FGE is a part of equilateral Δ AGF, m∠FGE = 60°.
Also note that ∠AGE = ∠AGF + ∠FGE.
⇒ m∠AGE = m∠AGF + m∠FGE
⇒ m∠AGE = 60° + 60°
= 120°.
At the museum cafe the answer is
Answer:
8.9%
Step-by-step explanation:
Here, we are to calculate the probability of Howard choosing a chocolate candy followed by a gummy candy.
The probability of selecting a chocolate candy = number if chocolate candy/ total number of candy
Total number of candy = 5 + 4 + 6 = 15
Number of chocolate candy = 5
The probability of selecting a chocolate candy = 5/15 = 1/3
The probability of selecting a gummy candy = number of gummy candies/total number of candies
Number of gummy candy = 4
The probability of selecting a gummy candy = 4/15
The probability of selecting a chocolate candy before a gummy candy = 1/3 * 4/15 = 4/45 = 0.088888888889
Which is same as 8.89 percent which is 8.9% to the nearest tenth of a percent
We know that
cos²(theta)=0.21
sin²(theta)+cos²<span>(theta)=1
</span>sin²(theta)=1-cos²(theta)------> sin²(theta)=1-(0.21)-----> 0.79
sin(theta)=√0.79
sin(theta)=0.89
the answer is
the value of sin(theta) is 0.89
