9514 1404 393
Answer:
x = 15
Step-by-step explanation:
<u>Given</u>:
∠1 + ∠2 = 90°
∠1 = 45°
∠2 = 3x°
<u>Find</u>:
x
<u>Solution</u>:
Using the given values in the given equation, we have ...
45° +3x° = 90°
15 + x = 30 . . . . . . divide by 3°
x = 15 . . . . . . . . . . . subtract 15
We have the slope m = (6-3)/(4-1) = 3/3 = 1;
Then, y - 3 = 1·( x - 1);
finally, y = x + 2.
Answer:
and 
Step-by-step explanation:
A simple way to solve this problem is to plug the corresponding x and y into the function. We need only one pair since all the functions are quasi-linear (y=kx) and the increase is proportional.
In when x=3, y=15/4≈2.14
In 
when x=3, y=1.8
In when x=3, y≈2.33
In 
when x=3, y≈1.90
We can observe that in two cases, and , y is greater than 2.
24.4 mL
By converting mm to cm, we get
1 mm = 1/10 cm
18 mm = 18/10 cm
radius (r) = 1.8 cm
To find the volume,
Volume of sphere = 4/3πr3
= 4/3π(1.8)3
Volume = 24.4 cm3
To find the capacity,
1 cm3 = 1 mL
Capacity = 24.4 mL
