Given:
Carlos buys a game for $7.89 and some batteries for $5.49. He pays with a $20 bill.
To find:
The best estimate of the amount of change he should get.
Solution:
First we need to approximate the data values.
Now, the total cost of game and batteries is
He pays with a $20 bill.
Therefore, the estimated amount of change is $6.50.
Answer:
x=3
Step-by-step explanation:
the volume of the prism with triangular base is 54 unit³
The base is a triangle with, base i.e 4 units and height i.e x units
Also, height of the prism = 3x
So, volume of the prism is,
And
,
Then,
As the volume is given as 54 unit³, hence
6x²=54
x²=9
x=3
Answer:
4. 14.03 miles
5. 15.02 kilometers
6. 19.95 meters
Step-by-step explanation:
4. We need to use the law of sines, which states that for a triangle with angles A, B, and C and sides a, b, and c, respectively, then:
Here, a = 30, <A = 130, and <B = 21. So, let's plug these in:
b = AC = ≈ 14.03 miles
5. Here, c = 7, <C = 23, and <A = 123. We want to find BC, which is just a:
a = BC = ≈ 15.02 kilometers
6. Here, c = 22, <C = 88, and <B = 65. We want to find AC, which is just b:
b = AC = ≈ 19.95 meters
Hope this helps!