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2 years ago

Sally wants to buy a bicycle that costs $285. She checks at several stores and online to

Mathematics

2 answers:

ch4aika [34]2 years ago

7 0

Answer:

G discount of 15% off the regular price $208.25

Step-by-step explanation:

a_sh-v [17]2 years ago

5 0

Answer:

G. A discount of 15% off the regular price

Step-by-step explanation:

i did this question yesterday, so i hope this helps!

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Find the value of x 12 5 X

steposvetlana [31]

Answer:

x = 13

Step-by-step explanation:

Note that the side length x is opposite of the right angle, which means that it is the hypotenuse, which will usually be denoted as c.

Set the equation:

a² + b² = c²

let:

a = 5

b = 12

c = x

Plug in the corresponding numbers (& x) to the corresponding variables:

(5)² + (12)² = (x)²

Simplify. First, solve for the power, and then add:

x² = (5²) + (12²)

x² = (5 * 5) + (12 * 12)

x² = 25 + 144

x² = 169

Next, root both sides of the equation:

√x² = √169

x = √169 = √(13 * 13) = 13

x = 13

Note the rules, and it should be easier:

30-60-90° = 1 , √3 , 2

45-45-90° = 1 , 1 , √2

Any other measurements use the equation: a² + b² = c²

5 0

2 years ago

Solve the compound inequality for x: 2 < 3x - 5 < 4

Darina [25.2K]

7/3 3 I think that is the answer good luck

8 0

2 years ago

Surface area of solid figures

Lilit [14]

Answer:

C. 468mm²

Step-by-step explanation:

The formula for the surface area of rectangular prism is:

$A=2(wl+hl+hw)$

Let's break down our variables.

L = 12mm

W = 6mm

H = 7mm + 2mm = 9mm

Now we substitute our values in the formula:

$A=2((6)(12)+(9)(12)+(9)(6))$

$A=2(72+108+54)$

$A=2(234)$

$A=468mm^{2}$

6 0

2 years ago

The polynomial of degree 3, P(x), has a root of multiplicity 2 at x = 3 and a root of multiplicity 1 at x = -2. The y-intercept

Maru [420]

Answer:

$p(x) = - 0.7(x - 3)^{2} (x + 2)$

Step-by-step explanation:

We have that the polynomial, has a root of multiplicity 2 at x = 3 and a root of multiplicity 1 at x = -2.

This means the factored form of the polynomial will be.

$p(x) = a(x - 3)^{2} (x + 2)$

Also, it was given that, the y-intercept is y=-12.6.

This implies that:

$- 12.6= a(0 - 3)^{2} (0 + 2)$

$- 12.6= a(- 3)^{2} (2)$

$- 12.6= 18a$

Divide both sides by 18;

$a = \frac{ - 12.6}{18}$

$a= - 0.7$

Therefore the polynomial is

$p(x) = - 0.7(x - 3)^{2} (x + 2)$

7 0

3 years ago

What is the simplified form of the following expression?

kogti [31]

Answer:

$\sqrt{3}$

Step-by-step explanation:

We will be using 2 properties of radicals in this simplification (outlined below).

$\sqrt{a*b}=\sqrt{a}* \sqrt{b}$
$\sqrt{a}*\sqrt{a}=a$

Let's simplify this:

$2\sqrt{27} +\sqrt{12} -3\sqrt{3}-2\sqrt{12}\\ =2\sqrt{9*3}+\sqrt{4*3} -3\sqrt{3}-2\sqrt{4*3} \\=2\sqrt{9} \sqrt{3} +\sqrt{4} \sqrt{3}-3\sqrt{3}-2\sqrt{4} \sqrt{3} \\=2(3)\sqrt{3}+(2)\sqrt{3} -3\sqrt{3}-2(2)\sqrt{3} \\ =6\sqrt{3} +2\sqrt{3}-3\sqrt{3}-4\sqrt{3} \\=\sqrt{3}$

First answer choice is right.

5 0

3 years ago