Answer:
Step-by-step explanation:
See the solution process below:
Explanation:
The slope-intercept form of a linear equation is: y =mx+b
Where m is the slope and b
is the y-intercept value.
We are given the slope in the problem so we can substitute
−5/6 for m in the formula.
And,
(0,6)
is the y-intercept so we can substitute
6
for
b
in the formula giving:
y
=
−
5
6
x
+
6
Smaller leg = x
longer leg = y
hypotenuse = z
y=x+7
z=x+8
due to

but x cannot be -3
so smaller leg is 5 inches
then longer leg = 5+7 = 12 inches
and hypotenuse = 5+8 = 13 inches
Answer:
A. 1 /14
Step-by-step explanation:
3 1/2 / 1/2 = 1 /14
Answer:12.59
Step-by-step explanation:
enter image source here
From the diagram you can see that we have constructed a right triangle, with height A and base 15.
Length of shadow = 15 feet.
Height of flagpole = A.
We know the angle of elevation is
40
∘
. Using this angle and the tangent ratio, we can find A.
tan
(
40
∘
)
=
opposite
adjacent
=
A
15
∴
tan
(
40
∘
)
=
A
15
Rearranging:
A
=
15
tan
(
40
∘
)
By calculator:
A
=
12.59
feet. ( 2 d.p.)