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1 year ago

12

A right triangle is shown

1 answer:

natta225 [31]1 year ago

4 0

Answer:

10.38

Step-by-step explanation:

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2) An $80 text book was on sale for $49.60 at the used book store. By

nadya68 [22]

Answer:

38%

Step-by-step explanation:

Original price = $ 80

Price after reduction = $ 49.60

Reduction = 80 - 49.60 = $30.40

Percentage of decrease = $\frac{reduction price}{original price}*100$

$= \frac{30.40}{80}*100\\\\=\frac{3040}{80}$

= 38%

3 0

2 years ago

Read 2 more answers

Which shows the correct substitution of the values a, b, and c from the equation 0 = – 3x2 – 2x + 6 into the quadratic formula?

AlexFokin [52]

An expression which shows the correct substitution of the values a, b, and c from the equation 0 = – 3x2 – 2x + 6 into the quadratic formula is: expression A. Therefore, the correct answer option is A.

<h3>What is a quadratic equation?</h3>

A quadratic equation can be defined as a mathematical expression (equation) that can be used to define and represent the relationship that exists between two or more variable on a graph. In Mathematics, the standard form of a quadratic equation is given by;

ax² + bx + c = 0

Mathematically, the quadratic formula is modeled or represented by this mathematical expression:

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

From the information provided, we have the following values;

0 = -3x² - 2x + 6

Where:

a = -3

b = -2

c = 6

Substituting the values into the quadratic formula, we have;

$x = \frac{-(-2)\; \pm \;\sqrt{(-2)^2 - 4(-3)(6)}}{2(-3)}\\\\x = \frac{2\; \pm \;\sqrt{4^2 - 4(-3)(6)}}{2(-3)}$

Read more on quadratic equation here: brainly.com/question/4053652

#SPJ1

4 0

8 months ago

Someone please help me

Irina18 [472]

Answer:

a) Angle XBC = 55° because it's a corresponding angle

AXY = XBC

b) 180° - (55° × 2) = 70°

7 0

3 years ago

HLEPP PLEASEEEEEEEE hsnsnansh

miss Akunina [59]

M = -1/2
B = 1

Equation shown is y = mx + b

4 0

2 years ago

A pyramid has a regular hexagonal base with side lengths of 4 and a slant height of 6. Find the total area of the pyramid.

Tanzania [10]

The total area of pyramid is 113.569 square units

The equation to find the total area of the pyramid is Total area = base area + lateral area.

<u>Solution:</u>

Given, A pyramid has a regular hexagonal base with side lengths of 4 and a slant height of 6.

<em><u>The total area of pyramid is given by:</u></em>

$A=A_{b}+A_{l}$ ---- eqn 1

Where,

$A_{b} \text { is the base area and } A_{l} \text { is the lateral area }$

<em><u>The area of base is given as:</u></em>

$A_{b}=\frac{3 \sqrt{3}}{2} l^{2}$

Where "l" is the side of hexagon.

Substituting we get,

$\begin{array}{l}{A_{b}=\frac{3 \sqrt{3}}{2}(4)^{2}} \\\\ {=\frac{3 \sqrt{3}}{2} \times 16=3 \sqrt{3} \times 8} \\\\ {A_{b}=24 \sqrt{3}}\end{array}$

<em><u>The lateral area is given as:</u></em>

$A_{l}=3 b h$

Where,

b: base of the triangle

h: height of the triangle

Substituting we get,

$\begin{array}{l}{A_{l}=3 \times(4) \times(6)} \\\\ {A_{l}=72}\end{array}$

Plugging in the values we found in eqn 1 we get,

$A=24 \sqrt{3}+72$

A = 113.569 square units

<em><u>Summarizing the results:</u></em>

The total area of pyramid is 113.569 square units approximately

The equation used to find total area of pyramid is Total area = base area + lateral area.

8 0

2 years ago