Answer:
Yes it does show a dilation
Answer:
The first answer choice, 4632.5
Step-by-step explanation:
At the rate of 85 feet per hour, after 5.5 hours the apprentice would have covered 467.5 square feet. Subtracting this from the total amount of 5,100 square feet, you get 4632.5, or the first answer choice. Hope this helps!
Answer:
√2
Step-by-step explanation:
Angle ( θ ) = 45
Hypotenuse side = 2
Opposite side = x
Formula : -
sin θ = Opposite side / Hypotenuse side
Note :
The value of sin 45 = 1/√2
sin 45 = x/2
1/√2 = x/2
Cross multiply,
x*√2 = 2*1
x√2 = 2
2 can be simplified as √2 * √2
x√2 = √2*√2
Divide √2 on both sides,
x = √2
1280. 100% of students
X. 60% of student voting for Joan
X=1280•60/100
X=768
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.