Answer:
Step-by-step explanation:
3) diameter of penny = 19 mm
r = 19/2 = 9.5 mm
Area of penny = πr²
= 3.14 * 9.5 * 9.5
= 283.385
= 283.39 mm²
Diameter of nickel = 21 mm
r = 21/2 = 10.5 mm
Area of nickel = πr²
= 3.14 * 10.5 *10.5
= 346.185
= 346.19 mm²
346.19 - 283.39 = 62.8 mm²
Area of Canadian nickel is greater than Canadian penny by 32.6 mm²
4) r = 12 mm
Area of circle = πr²
= 3.14 * 12 * 12
= 452.16 mm²
5) r = 20 cm
Area of circle = πr²
= 3.14 * 20 * 20
= 1256 cm²
Since there were 6 slices, and he ate 1/3, 6*1/3= 2, so he ate 2 slices
Answer:
see the attachments for the two solutions
Step-by-step explanation:
When the given angle is opposite the shorter of the given sides, there will generally be two solutions. The exception is the case where the triangle is a right triangle (the ratio of the given sides is equal to the sine of the given angle). If the given angle is opposite the longer of the given sides, there is only one solution.
When a side and its opposite angle are given, as here, the law of sines can be used to solve the triangle(s). When the given angle is included between two given sides, the law of cosines can be used to solve the (one) triangle.
___
Here, the law of sines can be used to solve the triangle:
A = arcsin(a/c·sin(C)) = arcsin(25/24·sin(70°)) = 78.19° or 101.81°
B = 180° -70° -A = 31.81° or 8.19°
b = 24·sin(B)/sin(70°) = 13.46 or 3.64
<span>2h + 4 = m (twice the value of Helena's age plus 4 will equal Mark's age)
3j - 6 = g (three time John's age minus 6 will equal Glenn's age)
3.35s + .80b = 11.75</span>
Answer:
1899
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 3234
Standard deviation = 871
Percentage of newborns who weighed between 1492 grams and 4976 grams:
1492 = 3234 - 2*871
So 1492 is two standard deviations below the mean.
4976 = 3234 + 2*871
So 4976 is two standard deviations above the mean.
By the Empirical Rule, 95% of newborns weighed between 1492 grams and 4976 grams.
Out of 1999:
0.95*1999 = 1899
So the answer is 1899
