$\bf \qquad \qquad \qquad \textit{discriminant of a quadratic}
\\\\\\
0=\stackrel{\stackrel{a}{\downarrow }}{1}x^2\stackrel{\stackrel{b}{\downarrow }}{+4}x\stackrel{\stackrel{c}{\downarrow }}{-2}
~~~~~~~~
\stackrel{discriminant}{b^2-4ac}\implies 4^2-4(1)(-2)\implies 24$

4 0

3 years ago

One angle of a right triangle measures 60°. The side opposite this angle measures 15 inches.

Delicious77 [7]

Step-by-step explanation:

To solve this question I would use the sin rule.

The sin rule states that

$\frac{a}{ \sin(a) } = \frac{b}{ \sin(b) }$

Therefore if you substitute in your numbers you get:

$\frac{a}{ \sin(90) } = \frac{15}{ \sin(60) }$

If you rearrange that you get:

$a = \frac{15}{ \sin(60) } \times \sin(90)$

Therefore a = 17.3 Inches (to 3 sf)

This can also be done with basic trigonometry where you would get

$\sin(60) = \frac{15}{h}$

Rearranging to

$h = \frac{15}{ \sin(60) }$

meaning the answer is 13.7 inches

6 0

4 years ago

Read 2 more answers

tabitha wants to find the total cost of a new tablet computer that has a origanall cost of $360 from a store having a 20% sales

Eva8 [605]

ANSWER: $432

STEP-BY-STEP EXPLANATION:

The cost of the tablet is $360

Then Tabitha has to pay 20% sales tax.

The tax is the prices times 20% plus the original price

360 ( 1+ 0.2)

360 (1.2)

=432

8 0

3 years ago

on the last period our teacher had 1/2of an eraser left she gave 2 students equally how much of the eraser did every student tak

myrzilka [38]

Answer: each of the students took 1/4 of an eraser home.

Step-by-step explanation:

On the last period our teacher had 1/2 of an eraser left. She gave it equally to 2 students. This means that the amount of eraser that each student takes home would be

(1/2)/2 = 1/2 × 1/2 = 1/4 of an eraser. Converting to decimal, it becomes 0.25 of an eraser.

8 0

3 years ago