Answer:
∠ XZY ≈ 23.6°
Step-by-step explanation:
Using the sine ratio in the right triangle
sin Z = 
= 
= 
, thus
Z = 
() ≈ 23.6° ( to 1 dec. place )
You just add the values for volunteers that worked 16-20 hours and 21-25 hours which would be 50 + 10 = 60. So the total number of volunteers that workers more than 15 hours is 60.
Answer:
f(g(x)) = -1
Step-by-step explanation:
9514 1404 393
Answer:
FH = 16
Step-by-step explanation:
ΔGHE is a 5-12-13 triangle.
ΔEHF is a 3-4-5 triangle with a scale factor of 4, so side FH is 4·4 = 16 units.
_____
(3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17) are all commonly used Pythagorean triples. The first two on the list are used in these triangles.
If you like, you can work out the numbers using the Pythagorean theorem, which tells you the square of the hypotenuse is equal to the sum of the squares of the other two sides.
For ΔEHG, that is ...
GE² = EH² + HG²
13² = EH² + 5²
EH² = 13² -5² = 169 -25 = 144
And for ΔEHF, ...
FE² = EH² +HF²
20² = 144 + HF²
400 -144 = HF² = 256
HF = √256 = 16
The length of side FH is 16 units.
Take it apart mentally cylinder+2hemispheres 2hemispheres=2half spheres=1 sphere 15=radius of sphere+legnth of cylinder+radius of spehre diameter=5 d/2=5/2=r 15=2.5+legnth+2.5 10=legnth of cylinder surface area of sphere=4pir^2 surface area of cylinder (not including bases) is pidh sphere radius=2.5 SA=4pi2.5^2 SA=4pi6.25 SA=25pi SA=78.5 sphere area SA=5pi10 SA=50pi SA=157 add them 78.5+157=235.5 mm^2
