Answer:
x ≈ 3.4 cm
Step-by-step explanation:
Using the sine ratio in the right triangle
sin57° =
=
( multiply both sides by 4 )
4 × sin57° = x , thus
x ≈ 3.4 cm ( to 1 dec. place )
Population are always modeled by exponential growth equation given by:
f(x)=a(1+b)^t
where:
a=original number
b=rate of growth
t=time
thus
f(x)=412(1.05)^t
the population after 9 months will be:
f(9)=412(1.05)^9=639.15=639
B is the answer show that segments WX AND YZ have equal lengths
Answer:
9
Step-by-step explanation:
Sean and Greg share a 24-ounce bucket of clay
Sean uses 3/8 of the bucket
= 3/8 ×24
= 9 ounce
Greg uses 1/4 if the bucket
= 1/4 ×24
= 6 ounce
= 9+6
= 15 ounce
Therefore the quantity left in the bucket can be calculated as follows
= 24-15
= 9
Hence 9 ounces are left in the bucket
Refer to the diagram shown below.
Given:
m∠A = 19°
c = 15
By definition,
sin A = a/c
Therefore
a = c*sin A = 15*sin(19°) = 4.8835
cos A = b/c
Therefore
b = c*cos A = 15*cos(19°) =14.1828
Answer:
The lengths are 4.88, 14.18, and 15.00 (nearest hundredth)