Answer:
Step-by-step explanation:
a. This is a right triangle with two sides and one angle given.
-We apply Sine Rule to find the angle B:
-The sides given are 10and 17 and the right angle 90°
Hence the angle B is 36.03°
b.We again use the sine rule to obtain the unknown angle w:
-15 corresponds to 90° and 9 corresponds to w°
Hence, the measure of w is 36.87°
Answer:
(4.25,2)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates and divide by 2
x = (3+5.5) /2 = 8.5/2 =4.25
To find the y coordinate of the midpoint, add the y coordinates and divide by 2
y = ( 4+0)/2 = 4/2 =2
There are an infinite number of them.
-- Think of any number.
-- Multiply 4 by your number. Write it on top.
-- Multiply 5 by your number. Write it on the bottom.
-- You have a new fraction that's equivalent to 4/5 .
How many different numbers can you think of ?
That's how many new fractions you can create
that are ALL equivalent to 4/5 .
Answer: -1 5/8 + 3 <em>or </em>-13/8 + 3
Step-by-step explanation:
1/2 (3/4x + 10) - 2 (x + 1)
3/8x + 5 - 2x - 2
Combine like terms
3/8x - 2x + 5 - 2
-1 5/8 + 3
or
-13/8 + 3
Answer:
138π m²
Step-by-step explanation:
The following data were obtained from the question:
Diameter (d) = 6 m
Height (h) = 20 m
Surface Area (SA) =?
Next, we shall determine the radius. This can be obtained as follow:
Diameter (d) = 6 m
Radius (r) =?
r = d/2
r = 6/2
r = 3 m
Finally, we shall determine the surface area of the cylinder. This can be obtained as follow:
Radius (r) = 3 m
Height (h) = 20 m
Surface Area (SA) =?
SA = 2πrh + 2πr²
SA = 2πr (h + r)
SA = 2 × π × 3 (20 + 3)
SA = 2 × π × 3 × 23
SA = 138π m²
Thus, the surface area is 138π m².
