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3 years ago

Kathy buys a bicycle after a 30% markdown. The original price was $490.00. What did she pay?

Mathematics

1 answer:

Umnica [9.8K]3 years ago

4 0

Answer:

$343

Step-by-step explanation:

To get 30% of 490 we divide 30% by 1

30% ÷ 1 = 147

Now, we subtract 490 by 147

490 - 147 = 343

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Solve y=-3x² + 4.5x – 20<br> Use the Quadratic formula

statuscvo [17]

Answer:

$x=0.75 \pm 2.47067i$

Step-by-step explanation:

Quadratic Formula: $x=\frac{-b \pm \sqrt{b^2-4ac} }{2a}$

√-1 is imaginary number i

Step 1: Define

y = -3x² + 4.5x - 20

a = -3

b = 4.5

c = -20

Step 2: Substitute and Evaluate

$x=\frac{-4.5 \pm \sqrt{4.5^2-4(-3)(-20)} }{2(-3)}$

$x=\frac{-4.5 \pm \sqrt{20.25-240} }{-6}$

$x=\frac{-4.5 \pm \sqrt{-219.75} }{-6}$

$x=\frac{-4.5 \pm \sqrt{219.75}(\sqrt{-1} ) }{-6}$

$x=\frac{-4.5 \pm i\sqrt{219.75} }{-6}$

$x=\frac{4.5 \pm i14.824 }{6}$

$x=0.75 \pm 2.47067i$

7 0

3 years ago

What's the slope of the line passing through points (7,-7) and (1,-4)?

GrogVix [38]

(-4-(-7)) / (1-7) = (3) / (-6) = -1/2 = slope

4 0

3 years ago

Find the volume of a right circular cone that has a height of 11.8 ft and a base with a radius of 7.3 ft. Round your answer to t

lora16 [44]

Answer:

The answer to your question is 658.2 ft³

Step-by-step explanation:

Data

Volume = x

height = 11.8 ft

radius = 7.3 ft

Formula

Volume of a cone = 1/3πr²h

Process

1.- Calculate the volume

Volume = 1/3(3.14)(7.3)²(11.8)

Volume = 1/3(3.14)(53.29)(11.8)

Volume = 1/3(1974.5)

Rounded to the nearest tenth

Volume = 658.2 ft³

3 0

3 years ago

Which of the two solids below are similar ?

Pachacha [2.7K]

Answer: I and II.

Step-by-step explanation:

By definition, two solids are similar if their corresponding sides are in the same ratio.

Knowing this, let's find which solids are similar:

Corresponding sides ratio of solids I and II:

$\frac{3}{2}=\frac{2}{\frac{4}{3}}=\frac{5}{\frac{10}{3}}$

$\frac{3}{2}=\frac{3}{2}=\frac{3}{2}$

Corresponding sides ratio of solids I and III:

$\frac{3}{\frac{9}{2}}=\frac{2}{3}=\frac{5}{8}$

$\frac{2}{3}=\frac{2}{3}=\frac{5}{8}$

Corresponding sides ratio of solids II and III:

$\frac{2}{\frac{9}{2}}=\frac{\frac{4}{3}}{3}}=\frac{\frac{10}{3}}{8}}$

$\frac{4}{9}=\frac{4}{9}=\frac{5}{12}$

You can observe that the solids I and II are similar.

3 0

3 years ago

Please explain the steps and how I can find the values!!

Xelga [282]

Answer:

a = 4.949

b = 4.949

c = 7

Step-by-step explanation:

c ( hypothenuse ) = 7

to find a, use sine

Sine = $\frac{opposite}{hypothenuse\\}$

Sine 45 = $\frac{a}{7}$

sine of 45 is 0.707

0.707 = $\frac{a}{7}$

multiplt 7 on both sides:

0.707 x 7 = $\frac{a}{7}$ x 7

a = 4.949

to find b, use cosine

Cosine = $\frac{adjacent}{hypothenuse}$

Cos 45 = $\frac{b}{7}$

cos of 45 is 0.707

0.707 = $\frac{b}{7}$

multiply 7 on both sides:

0.707 x 7 = $\frac{b}{7}$ x 7

b = 4.949

6 0

3 years ago