Answer:
Step-by-step explanation:
1.Find X
x^2 +8x+15 = (x+5)
-x -x
x^2+7x+15=5
-5 -5
x^2 +7x+10=0
Do the quadralic formula
a=1 b=7 c=10
<u>-7±√7^2-4(1)(10)</u>
2(1)
<u>-7±√49-40</u>
2
<u>-7±√9</u>
2
-7±3
divide 2 by each number
-3.5 ± 1.5
-3.5+1.5 -3.5-1.5
-2 -5
x= -2 x=-5
2. find the length of the garden
-2+5 =3
the length is 3
3. plug in the length to the area of the garden
-5^2+8(-5)+15=3
solve
25-40+15=3
0=3
the width of the garden is 3 square feet
Answer:
21 degrees
Step-by-step explanation:
To find this, we are going to use the appropriate trigonometric ratio
The right angle faces the length 22 which is the hypotenuse
The marked angle faces the length 8 which makes it the opposite
The trigonometric ratio that links the two is the sine
The sine is the ratio of the opposite to the hypotenuse
So, we have it that;
sine ? = 8/22
? = arc sine 8/22
? = 21 degrees
