Answer:
60°
Step-by-step explanation:
This questions tests our knowledge on arcs and arc measures.
-Arc measure is the angle that an arc makes with the circle's center.
-The arc measure is proportional to the arc.
#The sum of the 3 arcs is x+2x+3x=6x
Given a circle has 360°, the arc measurement x can be calculated as:
![[x+2x+3x]=360\textdegree\\\\6x=360\textdegree\\\\x=60\textdegree](https://tex.z-dn.net/?f=%5Bx%2B2x%2B3x%5D%3D360%5Ctextdegree%5C%5C%5C%5C6x%3D360%5Ctextdegree%5C%5C%5C%5Cx%3D60%5Ctextdegree)
Hence, the arc measurement x is 60°
Its y=3/4x+3
you can solve it
-3x+4y=12
add 3x both sides
4y=3x+12
divide 4 by both sides
y=3/4x+4
Answer:
Step-by-step explanation:
so you already have the formula, which is
![\sqrt[3]{ \frac{3v}{4\pi} }](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B%20%5Cfrac%7B3v%7D%7B4%5Cpi%7D%20%7D%20)
the v represents Volume.
and 3v would be 3×volume.
![\sqrt[3]{ \frac{3 \times 1000}{4 \times \pi} }](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B%20%5Cfrac%7B3%20%5Ctimes%201000%7D%7B4%20%5Ctimes%20%5Cpi%7D%20%7D%20)
![\sqrt[3]{ \frac{3000}{12.56637061} }](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B%20%5Cfrac%7B3000%7D%7B12.56637061%7D%20%7D%20)
![\sqrt[3]{238.7324147 }](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B238.7324147%20%7D%20)
to the nearest tenth place.
Answer:
x = 81, y = 68 and z = 99
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
z is an exterior angle, thus
z = 63 + 36 = 99
x and z form a straight angle and are supplementary, so
x + z = 180, that is
x + 99 = 180 ( subtract 99 from both sides )
x = 81
The sum of the 3 angles in a triangle = 180°, thus
z + y + 13 = 180, that is
99 + y + 13 = 180
112 + y = 180 ( subtract 112 from both sides )
y = 68
Answer:
W = 6t + 90
Step-by-step explanation:
Given :
Starting weight = intercept = 90 kg
Weight gained after 8 months = 138 kg
Using the slope intercept relation ;
We can obtain the rate of change, slope ;
y = mt + c
m = slope ; t = time after t months ; c = intercept
y = weight gained after 8 months
138 = 8m + 90
138 - 90 = 8m
48 = 8m
m = 48 / 8
m = 6
Hence, slope intercept equation equals :
W = 6t + 90
