<h3>
Answer: approximately 6.3 miles</h3>
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Explanation:
See the diagram below. The two given angles B = 105 and C = 20 are used to help find angle A
A+B+C = 180
A+105+20 = 180
A+125 = 180
A = 180-125
A = 55
Then we use the law of sines to find the side length c
sin(A)/a = sin(C)/c
sin(55)/15 = sin(20)/c
c*sin(55) = 15*sin(20) ... cross multiply
c = 15*sin(20)/sin(55) .... divided both sides by sin(55)
c = 6.26294249724791 .... value is approximate
c = 6.3 ....... rounding to one decimal place
It has become somewhat fashionable to have students derive the Quadratic Formula themselves; this is done by completing the square for the generic quadratic equation ax2 + bx + c = 0. While I can understand the impulse (showing students how the Formula was invented, and thereby providing a concrete example of the usefulness of abstract symbolic manipulation), the computations involved are often a bit beyond the average student at this point.
Answer:
37
Step-by-step explanation
Do what is in the parenthesis first
(5)+4^2x(2)
Exponents next
4^2=16
5+16x2
Multiplication next
16x2=32
You're left with the equation 5+32=37
Answer:
The first one: {{7, 12), (1, -5), (3, -10), (2, -5)}
Step-by-step explanation:
Functions can't have repeating x values. Each x has to have its own y value.
The answer is -65.6 because the negative sign is on the out side of the absolute value signs.
