Answer: 1
Step-by-step explanation:
1. As you can see in the figure attached, the triangle is a right triangle.
2. You know that, by definition, the tangent is the shown below:
Where:
3. Now, you must substitute the values shown above.
4. Once you do this, you obtain that the tangent ratio for the angle A is:
5. Therefore, the answer is the second option:
Answer:
Make sure all words are spelled correctly.
Try different keywords.
Try more general keywords.
Try fewer keywords.
Step-by-step explanation:
not a problem
Answer:
10 years old
Step-by-step explanation:
Let's say the age of the younger sister is x. Then the age of the older sister must be x + 2 because the ages are consecutive <em>even</em> numbers.
"Twice the age of the youngest exceeds the oldest by 8" means that we multiply x by 2 and set that equal to (x + 2) + 8:
2x = (x + 2) + 8
2x = x + 10
x = 10
So, the youngest sister is 10 years old.
Answer:
On the left is a 30 60 90 triangle so the height = 10 / 2 = 5 feet
Area of triangle = (5 * 8.7) / 2 = 21.75 sq feet
Area of Rectangle = 12 * 5 = 60 sq feet
TOTAL Area = 21.75 + 60 = 81.75 square feet
Step-by-step explanation:
a) The diagram shows that 16% of the students plays only the piano, 13% of the students plays only the violin, and 5% of the students plays both instruments.
So, the percentage of students playing the piano is 21%, because you can choose a students who plays only the piano (16%) or a student who plays both instruments (5%)
b) We can't answer this question without knowing the number of students in the school. In fact, we only know that 5% of the students plays both instrument. This means that, if the total number of students is , the number of students who play both instruments is
And it is impossible to evaluate this quantity without knowing the value for x.
c) Since the probability of N is 21% (see point a), the probability of not N will be
d) By the same logic, the probability of V is percent. So, we have
e) We have
And we just computed the probability of to be 0.34. So, we have