Answer:
3x - 4 =9
Step-by-step explanation:
divide the entire equation by 3
9x/3 - 12/3 = 36/3
3x - 4 = 9
Answer: 128.67 feet
Step-by-step explanation:
Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.
Tan α = opposite side / adjacent side
Where α is the angle of depression from the top of Nisha's window to the bottom of the sculpture ,the opposite side is the height Nisha's window from the ground (60), and the adjacent side is the distance between the building and the sculpture (x).
Replacing with the values given:
Tan 25 = 60/x
Solving for x
x =60 / tan 25
x = 128.67 feet.
Feel free to ask for more if needed or if you did not understand something.
Answer:
A: Angle J
Step-by-step explanation
If the two triangles are congruent then their corresponding angles are also congruent. This means that angle P is congruent to angle J, angle Q is congruent to angle K and angle R is congruent to angle L. Hope this helps :D
Answer: 3, 5, 7
Step-by-step explanation:
There is a "trick" to determine divisibility by 3: if the sum of the digits is divisible by 3, the number is divisible by 3.
3 + 1 + 5 = 9 which is a multiple of 3, so 315 is divisible by 3.
It works for 9 also. since the sum of the digits is 9, 315 is divisible by 9.
Divisibility by 5: any number that has the units digit 5 or 0 is divisible by 5.
For 7, I just tried it 315÷7= 45
Only even numbers are divisible by 2.
If a 3-digit number is divisible by 11, the middle digit will be the sum of the first and last digits. (That is not the case for 315) But 385 is divisible by 11, also 495, 253, and many others you can try for fun.
Answer:
First Olympic held in year 1896.
Step-by-step explanation:
Number of Olympiad held in Rio = XXXI = 31st
Difference of years in two consecutive Olympiads = 4 years
Number of years spent in 31 Olympiads can be calculated by,
Number of years spent = (n - 1)d
Here n = number of Olympiads held
d = difference between two consecutive Olympiads
Number of years spent till 31st Olympiads = (31 - 1)×4
= 120 years
Therefore, 1st Olympiad held in the year = 2016 - 120
= 1896
