For this case we can make use of the Pythagorean theorem.
We have then:
(root (117)) ^ 2 = x ^ 2 + 6 ^ 2
Clearing x we have:
x ^ 2 = (root (117)) ^ 2 - 6 ^ 2
Rewriting:
x = root (117-36)
x = root (81)
x = 9
Answer:
The value of x is given by:
x = 9 cm
The rule is that the angle is half the measure of the intercepted arc. So it's 110.
Answer:
The slope is 3/8!
Explanation:
You put your equation in slope-intercept form, that is how you find the slope.
3x-8y=-20
-8y=-3x-20
y=3/8x-20
the fraction is now positive because the numerator and the denominator are both negative so they are changed into positive.
Hope This Helps!
Answer:
a=29
Step-by-step explanation:
5a-100=45
Add 100 to both sides
5a=145
Divide both sides by 5
a=29
Answer:
Length :
12
feet
Width :
10
feet
Explanation:
Let the length of the garden be
x
feet.
Therefore, the breadth or width of the garden is
(
x
−
2
)
feet.
So, According to the problem,
x
(
x
−
2
)
=
120
⇒
x
2
−
2
x
=
120
⇒
x
2
−
2
x
−
120
=
0
[Transposing 120 to the L.H.S]
⇒
x
2
+
10
x
−
12
x
−
120
=
0
[Breaking
−
2
x
as
10
x
−
12
x
]
⇒
x
(
x
+
10
)
−
12
(
x
+
10
)
=
0
[Taking the like terms aside]
⇒
(
x
+
10
)
(
x
−
12
)
=
0
[Completing the factorisation]
We know, When two real quantities are multiplied and the product is zero, then one of them or both of them should be zero.
So, Either
x
+
10
=
0
or
x
−
12
=
0
So,
x
=
−
10
or
12
As
x
indicates length,
x
can't be negative.
So,
x
=
12
.
So, The length of the garden is
12
feet and the width of the garden is
(
12
−
2
)
feet =
10
feet.
Step-by-step explanation:
plz mark me as a brainliest