1. A shirt is on sale for 45% off. The original

Mathematics

1 answer:

sleet_krkn [62]2 years ago

3 0

Answer:

$13.75 , $11.25

Step-by-step explanation:

If they took off 45% of the original price, that means you gotta subtract

$25 - 45% = 13.75

to find the amount of the discount, subtract 13.75 from 25

$25-$13.75 = $11.25

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The cost is $6.75 for 1 item. Find the cost of 8 items

scoray [572]

Answer:

$54

Step-by-step explanation:

Multiply the cost by the number of items

6.75x8=54

The cost is $54

5 0

2 years ago

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Evalute costheta if sintheta = (sqrt5)/3

torisob [31]

Answer:

$\large\boxed{\cos\theta=\pm\dfrac{2}{3}}$

Step-by-step explanation:

Use $\sin^2x+\cos^2x=1$ .

We have

$\sin\theta=\dfrac{\sqrt5}{3}$

Substitute:

$\left(\dfrac{\sqrt5}{3}\right)^2+\cos^2\theta=1\qquad\text{use}\ \left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}\\\\\dfrac{(\sqrt5)^2}{3^2}+\cos^2\theta=1\qquad\text{use}\ (\sqrt{a})^2=a\\\\\dfrac{5}{9}+\cos^2\theta=1\qquad\text{subtract}\ \dfrac{5}{9}\ \text{from both sides}\\\\\cos^2\theta=\dfrac{9}{9}-\dfrac{5}{9}\\\\\cos^2\theta=\dfrac{4}{9}\to \cos\theta=\pm\sqrt{\dfrac{4}{9}}\\\\\cos\theta=\pm\dfrac{\sqrt4}{\sqrt9}\\\\\cos\theta=\pm\dfrac{2}{3}$