Answer:
Step-by-step explanation:
we can use the trigonometric function in a right triangle
cos x = adjacent side to the angle /hypothenuse
cos 36°= x/10 ; multiply both sides by 10
10 * cos 36° = x ; make sure your calculator mode is in degrees
8.1 = x
Answer: $222.73
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Work Shown:
x = pre-GST price
10% of x = 0.10x = tax amount
x + 0.10x = 1.10x = post-GST price = 245
1.10x = 245
x = 245/1.10
x = 222.7272 approximately
x = 222.73 is the price before tax.
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Check:
10% of 222.73 = 0.10*222.73 = 22.273 = 22.27
The tax amount ($22.27) is added to the pre-GST price to get
22.27+222.73 = 245
which matches the post-GST price mentioned.
The answer is confirmed.
Or another way to confirm the answer is to calculate this
1.10*222.73 = 245.003 = 245
10.25 + 2.00 = 12.25...cost of pizza and soda
12.25 - 1.50x = 4.75....with x being the number of touchdowns
-1.50x = 4.75 - 12.25...I subtracted 12.25 from both sides
-1.50x = - 7.50...now divide both sides by -1.50
x = -7.50 / -1.50
x = 6......They would have to score 6 touchdowns
Answer:
7.9 m
Step-by-step explanation:
Use the Pythagorean theorem: a²+b²=c²
This formula can be used to solve a side of any right (90°) triangle.
c² is the length of the hypotenuse (the diagonal side of the triangle, opposite to the 90° angle)
So, c = 32m.
Sides a and b are the legs of the triangle, but we only know one side. Plug numbers into the formula:
31² + b² = 32²
961 + b² = 1024 Subtract 961 from both sides to get b² by itself.
b² = 63
√b² = √63 Square root both sides to get b by itself.
b = 7.93725
Answer is 7.9 meters, rounded to tenths place
The probability that they will win their next three games is 51.2%.
The chance that they win is 80%. To find the probability that they win 3 games in a row, we just have to multiply 80% by itself 3 times.
0.8 x 0.8 x 0.8 = 0.512 = 51.2%
