Step 
In the right triangle ADB
<u>Find the length of the segment AB</u>
Applying the Pythagorean Theorem

we have

substitute the values



Step 
In the right triangle ADB
<u>Find the cosine of the angle BAD</u>
we know that

Step 
In the right triangle ABC
<u>Find the length of the segment AC</u>
we know that




solve for AC

Step 
<u>Find the length of the segment DC</u>
we know that

we have


substitute the values


Step 
<u>Find the length of the segment BC</u>
In the right triangle BDC
Applying the Pythagorean Theorem

we have

substitute the values



therefore
<u>the answer is</u>

Answer:
The length is 6 feet and the width is 4 feet
Step-by-step explanation:
Let x represent the length of the yard
The width can be represented by x - 2, since it is 2 less than the length.
Use the perimeter formula, P = 2l + 2w, where l is the length and w is width
Plug in the expressions and perimeter:
20 = 2x + 2(x - 2)
Solve for x:
20 = 2x + 2x - 4
20 = 4x - 4
24 = 4x
6 = x
So, the length is 6. Plug this into x - 2 to find the width
x - 2
6 - 2
= 4
So, the length is 6 feet and the width is 4 feet
Answer:
x=41
Step-by-step explanation:
so since this is a right triangle you can use the Pythagorean Theorem to find the missing side. the two sides you know are 'a' and 'b' and the missing side is 'c'. the theorem says that:
a^2+b^2=c^2
so:
9^2 +40^2=c^2
solve for the exponents:
81 +1600=c^2
1681=c^2
and now, since 1681 is the missing side's length squared, we must find the square root of 1681, which is 41
hope this helps :)
Answer:
(0, - 7)
Step-by-step explanation:
A translation of 4 units left means subtracting 4 from the original x- coordinate, but the y-coordinate remains unchanged
W(4, - 7 ) → W'(4 - 4, - 7 ) → W'(0, - 7 )
M + 2m - 6 = -12 + 2m
3m - 6 = -12 + 2m
+6 +6
--------------------------------
3m = -6 + 2m
-2m -2m
-----------------------
1m = -6
/1 /1
m = -6