Answer:Both of them are not simplified
Step-by-step explanation:
If it was then the fractions would be 3 over 5 and 2 over 5
Answer:
42) 254.47 ft²
43) 56 pendants
Step-by-step explanation:
42)
The radius of a circle is equal to half of its diameter.
Diameter = 18 feet
Radius = Diameter ÷ 2 = 18 ÷ 2 = 9 feet
Area of a circle = π
Substitute in known value of r
Area = π 
Substitute in pi
Area = 3.14 * 
Solve exponent
Area = 3.14159265359 * 81
Area = 254.4690049408
(Rounds to 254.47)
254.47 ft²
43)
1.5 ounces per pendant
3 pieces of silver:
pounds
14 ounces
pounds
Convert to improper fractions (1 lb = 16 ounces)
pounds
pounds
pounds
Find a common denominator for the fractions
pounds
pounds
pounds
Add
+
+
pounds
Find how many pendants can be made out of this amount
pounds
Convert back to ounces (1 lb = 16 ounces)
84 ounces
Amount to make one pendant:
ounces
Convert to decimal
1.5 ounces
Divide 84 by amount of silver per pendant
84 ÷ 1.5
56
The maximum number the pendants that the manufacturer can make is 56
Hope this helps :)
Answer:
1)B:63°
2)A:59°
Step-by-step explanation:
1.ABC is a right triangle at C then angle ACB=90°(right angle)
Angle CAB=27°(see the given)
measure of the angles in any triangle is 180°
then angle CBA=
measure of all the angles - (measure ACB+measure CAB)
=180°-(90°+27°)
=63°
2. Same explanation of angle B:
in the right triangle DEF: angle DEF=90°
angle D=31°(given)
Then measure of angle A=180°-(angle E + angle D)
=180-(90+31)=59°
Let his original money is x
So,

+

+ 2.25 = x
or,

or, 5x + 13.5 = 6x
or, x = 13.5
So, he had $13.5 originaly.
Thanks!
Answer:
The cost of traveling 25km would be $3000.
You can travel 35 km for $4200.
Step-by-step explanation:
Consider the provided information.
For 30km cost $3,600.
30 km = $3600
Divide both sides by 30.

....(1)
The cost of 1 km is $120.
Part (A) what would be the cost of traveling 25km
Multiply both the sides of equation 1 by 25.
25 km = 3000
Hence, the cost of traveling 25km would be $3000.
Part(B) How far could you travel for $4,200?
Divide 4200 by 120.

Hence, you can travel 35 km for $4200.