Answer:
65/72
Step-by-step explanation:
cot is simply cosine over sine or the tangant flipped
the cos (c)=65/97
sin (c) = 72/97
cot would be (65/97)/(72/97)
How do you divide fractions? By multiplying the reciprocal!
cot would be 65/97 * 97/72
the 97s cross out.
65/72
Answer:
x=7.78
Step-by-step explanation:
142=10x+8x+2
Move all numbers with the same variables to each side to separate them.
142-2=10x+8x
140=18x
Divide by 18.
x= 140/18
x=7.78
Answer:
original is 4 & 6.
for 54 sq inch= 6 & 9 and for 96 sq inch=8 & 12
Step-by-step explanation:
Given: The length is 1.5 times the width.
so the length is, l = 1.5w
----(a)
lw = 24 =1.5w(w)
lw = 54=
1.5w(w)
lw = 96
=1.5w(w)
Further simplifying it,
1.5
=24
1.5
=54
1.5
=96
so,
=
=16
=
36
=
64
taking the square root, we get:
w = 4
w = 6
w = 8
By putting the above values in eq (a), we can find their corresponding lengths:
l = 1.5(4) = 6
l = 1.5(6) = 9
l = 1.5(8) = 12
So a few lengths could be:
(l, w)
(6,4)
(9,6)
(12,8)
Answer:
∠C=90°
∠A=67°
∠B=23°
Step-by-step explanation:
For angle C:
Thales' Theorem states that an angle inscribed across a circle's diameter is always a right angle.
Therefore, since AB is the diameter(hypotenuse) then angle C is the right angle. (90°)
For Angle A:
The measure of arc BC= 134 degrees. We can just use a formula for an inscribed triangle. ∠A = 1/2 (mBC)
∠A= (1/2)134
∠A= 77°
For angle B:
All triangle angles all add up to 180. We can just subtract angles A and C from 180°:
∠B = 180-(90+67)
∠B = 23°
Answer:
100
Step-by-step explanation:
To make a perfect square trinomial, you want to divide the use the following equation to find the missing constant:
when the quadratic is in standard form.
In this case, we would divide -20 by 2 and square it
-20/2 = -10
(-10)^2 = 100