Answer:
b
Step-by-step explanation:
Answer:
6.25 feet.
Step-by-step explanation:
Let L be the length of the ramp in feet.
We have been given that steel loading ramps are used to load a lawn mower onto a truck bed 37.5 inches above the ground. The ramp make a 30° angle with the ground.
We can see from our attachment that ramp and truck bed forms a right triangle with ground. The truck bed is opposite side and length of ramp is hypotenuse of our given angle.
Since we know that Sine relates the opposite and hypotenuse of a right triangle, so we will use Sine to solve for L.
Upon substituting our given values in above formula we will get,
Therefore, the length of the ramp is 75 inches.
Let us convert the length of ramp in feet.
1 feet = 12 inches.
Therefore, the length of the ramp is 6.25 feet.
Answer:
<2 = 133°
Step-by-step explanation:
< beside <2 = 47
<2 + < beside <2 =180 (straight line)
<2 + 47 =180
<2 = 180-47
<2 = 133°
Use the quadratic formula to find:
x
=
1
±
√
85
5
Explanation:
5
x
2
−
10
x
−
12
is of the form
a
x
2
+
b
x
+
c
with
a
=
5
,
b
=
−
10
and
c
=
−
12
This has discriminant
Δ
given by the formula:
Δ
=
b
2
−
4
a
c
=
(
−
10
)
2
−
(
4
×
5
×
−
12
)
=
100
+
240
=
340
=
2
2
⋅
85
This is positive, but not a perfect square, so the quadratic equation has a pair of irrational roots, given by the quadratic formula:
x
=
−
b
±
√
b
2
−
4
a
c
2
a
=
−
b
±
√
Δ
2
a
=
10
±
√
340
10
=
10
±
2
√
85
10
=
1
±
√
85
5
Answer: 380 ft^2
Step-by-step explanation:
Length of sides of square=25
Diameter of semicircle=25
Radius=r=25/2=12.5
π=3.14
Area of square=length x length
Area of square=25 x 25=625
Area of semicircle=0.5 x π x r x r
Area of semicircle=0.5 x 3.14 x 12.5 x 12.5
Area of semicircle=245.3125
Area of shaded portion=area of square - area of semicircle
Area of shaded portion=625-245.3125
Area of shaded portion=379.6875
Area of shaded portion=380ft^2
approximately
