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2 years ago

The portion of the Arkansas state flag that is not red is a rhombus. On one flag, the

Mathematics

1 answer:

VARVARA [1.3K]2 years ago

7 0

The area of a rhombus with length of diagonal as 24 inches and 36 inches is 432 in²

<h3>Rhombus</h3>

Rhombus is a quadrilateral with two pairs of opposite and equal parallel sides. All the sides of a rhombus are equal and the diagonals bisect each other at 90 degrees.

The area (A) of a rhombus is given by:

A = (pq) / 2

where p, q are the length of the diagonals.

Given that:

p = 24 in, q = 36 in, hence:
A = (24 * 36) / 2
A = 432 in²

The area of a rhombus with length of diagonal as 24 inches and 36 inches is 432 in²

Find out more on Rhombus at: brainly.com/question/88523

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Which basic trigonometric identity would you use to verify that tan x cos x =sin x

True [87]

Answer:

$\huge\boxed{\tan x=\dfrac{\sin x}{\cos x}}$

Step-by-step explanation:

$\tan x\cos x=\sin x\\\\\tan x=\dfrac{\sin x}{\cos x}\\\\\text{Therefore}\\\\\tan x\cos x=\dfrac{\sin x}{\cos x}\cdot\cos x\qquad\text{cancel}\ \cos x\\\\\tan x\cos x=\sin x\\\\\text{For}\ x\neq\dfrac{\pi}{2}+k\pi},\ k\in\mathbb{Z}$

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3 years ago

Nine less than a number

olga2289 [7]

Let us say that this number is n

Then we could say:

<em><u>n - 9</u></em>

3 0

3 years ago

Read 2 more answers

Last PreCalc Question, Need help with writing piecewise functions with graphs. Giving brainliest!

LekaFEV [45]

The piece-wise linear functions can be written as follows:

$f(x) = x, x \leq -2$ .

$f(x) = -x - 7, -2 < x \leq 1$ .

$f(x) = 2x - 9, x > 1$ .

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

For x equal or less than -2, the line passes through (-3,-3) and (-2,-2), hence the rule is:

$f(x) = x, x \leq -2$ .

For x greater than -2 up to 1, the y-intercept is of -7, and the line also passes through (1,-8), hence the rule is:

$f(x) = -x - 7, -2 < x \leq 1$ .

For x greater than 1, the function goes through (2,-5) and (3,-3), hence the slope is:

m = (-3 - (-5))(3 - 2) = 2.

The rule is:

y = 2x + b.

When x = 2, y = -5, hence:

-5 = 2(2) + b

b = -9.

Hence:

$f(x) = 2x - 9, x > 1$ .

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

5 0

1 year ago

Three research departments have 9, 7, and 10 members, respectively. Each department is to select a delegate and an alternate to

aivan3 [116]

Work:
First department: (They have 9 possibilities for delegate and 8 for alternate)
9 * 8 = 72
Second department: (They have 7 possibilities for delegate and 6 for alternate)
7 * 6 = 42
Third department: (They have 10 possibilities for delegate and 9 for alternate)
10 * 9 = 90
Total possibilities:
72 * 42 * 90 = 272,160 possibilities

I hope this helps!

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3 years ago

Question 4 of 25

Yuki888 [10]

Answer:

Las Vegas

Step-by-step explanation:

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2 years ago