The discriminant of a quadratic equation is a parameter that is used to determine the nature of the roots of the equation. The discriminant can be determined by b2- 4ac. In this case, upon substitution, 25- 4*2*7 = -31 in which the roots are negative and iimaginary.
Answer:
9. n=-15 , 10. f=6, sorry i can't help you more I am just tired and have to get some rest but i hope this helps
Step-by-step explanation:
9. Eight less than 1/3 a number n is -13
so -13 = 1/3n -8
then
-5 = 1/3n
multiply 3 to each side
-15 = n
10. a number f multiplied by -12.3 is -73.8
so -12.3f= -73.8
divide -12.3 on each side
so f=6
Answer:
Step-by-step explanation:
SOHCAHTOA
Sine is opposite over hypotenuse
Cosine is adjacent over hypotenuse
Tangent is opposite over adjacent
In this context, opposite means the side opposite of the angle. Adjacent means the side that is touching the angle. And the hypotenuse is the longest side, which is usually visually obvious.
3.) tan(25) = x/31
Use a calculator for tan(25), then multiply both sides by 31 to get your x value.
x = 14.5
4.) cos(48) = 17/x
Use a calc to do 17/cos(48) to get the x value
x = 25.4
5.) sin(theta) = 17/18
Divide 17/18, then take the inverse sine of both sides with a calculator to get the theta value
theta = 70.8 degrees
6.) tan(theta) = 31/42
Divide 31/42, then take the inverse tangent of both sides with a calc.
theta = 36.4 degrees
7.) Your best bet is to draw a picture. For my case, Im going to imagine it. The angle is 35 degrees and the hypotenuse is 300 feet. The question is asking for the opposite of the angle. This calls for sine.
sin(35) = x/300
x = 172.1 feet
Answer:
Step-by-step explanation:
d = 16 cm
r =16/2= 8 cm
Total surface area = 3πr² cubic units
= 3 * 3.14 * 8 * 8
= 602.88
= 603 cm²
Answer: $440
Step-by-step explanation:
80*5 = 400
10% of 400 = 40
400 + 40 = 440
Ans. $440
