Answer:
Solution given:
Y=90°
∠X=73°.
∠ZWY=80°
and XW=80.
ZY=?
We know that
In right angled triangle ∆ XYZ
Tan 73=
3.27=
3.27×[xy]=yz
xw+wy=
wy=-80...........(1)
again
In right angled triangle WYZ
Tan 80=
5.67×wy=yz
wy=
yz=5.67×wy............................................(2)
E<u>q</u><u>u</u><u>a</u><u>t</u><u>i</u><u>n</u><u>g</u><u> </u><u>equation</u><u> </u><u>1</u><u>&</u><u>2</u>
=-80
-=80
5.67yz-3.27yz=80*5.67*3.27
2.4yz =1483.272
yz=
yz=618.03
:.y=618.03unit.<u>the length of ZY to the nearest 100</u><u>th</u><u> </u><u>is</u><u> </u><u>6</u><u>1</u><u>8</u><u>.</u>
compound interest equation for annually compounded
A=final amount
P=principal
r=rate in decimal
t=time in years
given that
A=1550
P=1000
r=5.5%=0.055
find t
divide both sides by 1000
take ln of both sides
use ln rule 
divide both sides by ln(1.055)
using a calculator, we get that t=8.18544 yrs
so about 8.2yrs
Answer:
D. a−b=10 a=3b+4
Step-by-step explanation:
Difference between a and b means to subtract b from a
We have,
a-b=10
a is 4 more than 3 times b
4 more than means to add 4
3 times b means to multiply b by 3
Therefore, a=3 times b + 4
a=3b+4
a - b=10; a=3b+4
393/393 - 168/393 = 225/393
Simplify 225/393 by 3 because that is is the fractions GCF
75/131
A butterfly can fly 82 feet in 4 seconds.
Distance traveled by butterfly = 82 feet.
Time taken by butterfly =4 seconds
Speed = distance /time
Speed of butterfly = 82/4 = 20.5 feet/second
A dragonfly can fly 50 feet in 2 seconds.
Distance traveled by dragonfly =50 feet.
Time taken by dragonfly =2 seconds.
Speed of dragonfly = 50/2 = 25 feet/second
So dragonfly can fly faster than the butterfly.
Difference in speed = speed of dragonfly - speed of butterfly = 25-20.5 = 4.5
So The dragonfly is 4.5 feet per second faster than butterfly.
Answer: B) The dragonfly is 4.5 feet per second faster.
