Answer:
C
Step-by-step explanation:
The answer is every box except for number one
Answer:
12 sapphires
Step-by-step explanation:
Let's call the number of sapphires x. This means the number of rubies is the total number of gems minus x, or 17-x.
# of Sapphires: x
# of Rubies:17-x
A sapphire is worth 5 (gold coins) each, and a ruby is worth 8.
We also know the total amount of money is 100 coins, so
5*x+8*(17-x)=100
5x+136-8x=100
-3x=-36
x=12
Remember:
# of Sapphires: x
# of Rubies:17-x
...so Lara found 12 sapphires and 17-12=5 rubies.
Answer:12.59
Step-by-step explanation:
enter image source here
From the diagram you can see that we have constructed a right triangle, with height A and base 15.
Length of shadow = 15 feet.
Height of flagpole = A.
We know the angle of elevation is
40
∘
. Using this angle and the tangent ratio, we can find A.
tan
(
40
∘
)
=
opposite
adjacent
=
A
15
∴
tan
(
40
∘
)
=
A
15
Rearranging:
A
=
15
tan
(
40
∘
)
By calculator:
A
=
12.59
feet. ( 2 d.p.)
