Matt would get about $4 and 90 cents back from the clerk, since 10 dollars minus $5 and 10 cents equals $4 and 90 cents.
(300+64)x(20+6) just divide te numbers into diferrent groups
Answer:
The correct representation of data on x-axis and y-axis is:
x-axis: minutes in increments of 5; y-axis: temperature in increments of 5
Step-by-step explanation:
The minutes will be plotted along the x-axis with increment of 5 minutes because the minutes represents here the independent variable
and the temperature will be plotted along the y-axis with the increment of 5 degrees Celsius because the temperature denotes the dependent variable.
The distance between the two points is 
Explanation:
Given that the two points are 
and 
We need to determine the distance between the two points in simplest radical form.
The distance between the two points can be determined using the distance formula,
Let us substitute the coordinates and in the above formula, we get,
Simplifying the terms, we get,
Squaring the terms, we get,
Adding, we get,
Simplifying, we have,
Thus, the distance between the two points in simplest radical form is
9514 1404 393
Answer:
120 m²
Step-by-step explanation:
If you divide the isosceles triangle into two right triangles, each has a leg and hypotenuse of 8 and 17, respectively. You may recognize these numbers as part of the Pythagorean triple (8, 15, 17). That recognition tells you the triangle's height is 15 m, so its area is ...
A = 1/2bh
A = 1/2(16 m)(15 m) = 120 m² . . . . triangle area
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<em>Alternate solutions</em>
Given the three sides, you can find the smallest angle from the Law of Cosines. It will be ...
α = arccos((17² +17² -16²)/(2·17·17)) ≈ 56.144°
Then the area is ...
A = 1/2·ab·sin(C) . . . for triangle with sides a, b, c and opposite angles A, B, C
A = 1/2sin(α)·17·17 = 120 . . . m²
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Using Heron's formula:
s = (17 +17 +16)/2 = 25
A = √(25(25 -17)(25 -17)(25 -16)) = 5×8×3 = 120 . . . m²
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If you need to, you can compute the triangle's height from the Pythagorean theorem.
a² +b² = c² . . . . generic Pythagorean theorem equation
8² + h² = 17² . . . with relevant values filled in
h² = 289 -64 = 225
h = √225 = 15
