Answer:
Step-by-step explanation: For a problem like this, it’s best to use Pythagorean Theorem which is a^2+b^2=c^2 .
In this problem they gave us a and c already so we are trying to find b.
3^2+?=5^2
9+?=25
25-9=16
Find the square root of 16 which is 4
Answer: The distance between the ladder and the slide is 4 meters
Answer:
see explanation
Step-by-step explanation:
let pq = x
given oq - pq = 1 then oq = 1 + x
Using Pythagoras' identity, then
(oq)² = 7² + x²
(1 + x)² = 49 + x² ( expand left side )
1 + 2x + x² = 49 + x² ( subtract 1 from both sides )
2x + x² = 48 + x² ( subtract x² from both sides )
2x = 48 ( divide both sides by 2 )
x = 24 ⇒ pq = 24
and oq = 1 + x = 1 + 24 = 25 ← hypotenuse
sinq =
= 
cosq =
= 
Answer:
27, you need to simplify both sides of the equation to get x on one side.
Step-by-step explanation:
A) Yes. we don't have enough information so this can not be determined.
B) No, it would just be an outlier.
Answer:
Width = 6.5 inches
Length = 10.5 inches
Step-by-step explanation:
Let
"l" be length of rectangle
and
"w" be width of rectangle
Since length of rectangle is 4 inches MORE THAN WIDTH, we can write:
l = 4 + w
The perimeter is sum of all sides, so
Perimeter = l + l + w + w = 2l + 2w
The perimeter is 34, so we can write:
2l + 2w = 34
Putting 1st equation in 2nd, we get equation in "w" and solve for this first:

Width is 6.5 in
Now, l = 4 + w, so
l = 4 + 6.5 = 10.5
Length is 10.5 in