Answer:
10.5 feet
Step-by-step explanation:
In this problem, we have two similar triangles:
- One consists of the mailbox, its shadow and the hypothenuse
- The other one consists of the tree, its shadow and the hypothenuse
The two triangles are similar, so they have same proportions between their sides: therefore, we can apply the rule of three:
where
m = 36 in is the height of the mailbox
is the shadow of the mailbox
t is the height of the tree
is the length of the shadow of the tree
Solving for t, we find the height of the tree:
And since
1 feet = 12 inches
The height of the tree in feet is
You have to find the cos of angle A, so use the Pythagorean equation and trig laws to find the other side of the triangle created by angle A. 3^2 + x^2 = 5^2. x=4. This means cos(A) = 4/5). Make both cos (A) and cos (B) have equal denominators, and add. 148/185 + 60/185 = 208/185. This answer is correct, though it doesn’t appear to be any of the answers you wrote, so either those answers are wrong or you wrote something incorrectly in the problem.
Answer:
the answer should be 96
Step-by-step explanation:
hope this helps :)
Givens
Let the smallest integer = x
The middle integer = x + 1
The largest integer = x + 2
Remark
The first phrase up to is says the sum of ... The key word is sum. So far you have x + x + 1 + x + 2. Simplified this comes to 3x + 3.
Two times the 2nd number is 2*(x + 1) and from that, subtract 14
2(x + 1) - 14
If you break down each phrase as I have done you will soon become very good at doing these types of problems.
So the equation looks like this.
Solution
3x + 3 = 2(x + 1) - 14 Remove the brackets.
3x + 3 = 2x + 2 - 14 Combine the like terms on the right.
3x + 3 = 2x - 12 Subtract 3 from both sides.
3x = 2x - 12 - 3
3x = 2x - 15 Subtract 2x from both sides.
3x - 2x = - 15
x = -15 <<<< Answer for smallest number.
Answer
-15
- 14
-13 Are the three numbers you seek.
Answer:
See explanation
Step-by-step explanation:
The question is incomplete. However, I'll solve on a general terms.
Since the robin, seagull and fish are on directly below one another; a possible question could be to calculate the distance between the robin and the clownfish
The given parameters are:
+ represents above sea level while i represents below
The distance is then calculated as:
