Suppose m∠1 = x degree
m∠2 = 17 x degree
As angle 1 & 2 are supplementary angles so
m∠1 +m∠2 =180 degree...... eq 1
Substituting the values of angle 1 & 2 in eq 1, we get
x +17x =180
18x=180
x= 180/18 =10 degree
17 x= 170 degree
m∠1 = 10 degree m∠2 = 170 degree.
Answer:
Week 1 Day 7
Week 2 Day 14
Week 4 Day 28
Week 8 Day 56
Week 10 Day 70
Let x represent the number of weeks
Let y represent the number of days
Use the ratio of the constant of proportionally in the equation y =kx
y = 14/7x
y = 2x
Step-by-step explanation:
Answer:
csc^2x
Step-by-step explanation:
It's a trig identity where 1+cot^2x = csc^2x
If Sonya already has 140 beads, she needs 60 beads in order to have a total number of 200 beads. You have to find how many bags (that hold 10 beads) are needed to add up to 60.
140 + 10x = 200
10x = 60
x = 6
Sonya needs 6 bags
Answer: ![25.5 m^{3}](https://tex.z-dn.net/?f=25.5%20m%5E%7B3%7D)
Step-by-step explanation:
If the volume of a sphere is
![V=\frac{4}{3} \pi r^{3}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20r%5E%7B3%7D)
Where
is the radius
The volume of a hemisphere is half the volume of the total sphere:
![V_{hemisphere}=\frac{V}{2}=\frac{\frac{4}{3} \pi r^{3}}{2}](https://tex.z-dn.net/?f=V_%7Bhemisphere%7D%3D%5Cfrac%7BV%7D%7B2%7D%3D%5Cfrac%7B%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20r%5E%7B3%7D%7D%7B2%7D)
![V_{hemisphere}=\frac{2}{3} \pi r^{3}](https://tex.z-dn.net/?f=V_%7Bhemisphere%7D%3D%5Cfrac%7B2%7D%7B3%7D%20%5Cpi%20r%5E%7B3%7D)
Solving this equation:
![V_{hemisphere}=\frac{2}{3} \pi (2.3 m)^{3}](https://tex.z-dn.net/?f=V_%7Bhemisphere%7D%3D%5Cfrac%7B2%7D%7B3%7D%20%5Cpi%20%282.3%20m%29%5E%7B3%7D)
Finally:
![V_{hemisphere}=25.48m^{3} \approx 25.5 m^{3}](https://tex.z-dn.net/?f=V_%7Bhemisphere%7D%3D25.48m%5E%7B3%7D%20%5Capprox%2025.5%20m%5E%7B3%7D)