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3 years ago

What is the value of x in the diagram below?

Mathematics

1 answer:

Tanzania [10]3 years ago

7 0

Answer:

The answer to your question is: x = 100

Step-by-step explanation:

It's a polygon of 7 sides

The sum of internal angles in a polygon equals 180(n-2), where n = # of sides

Internal angles = 180(7-2)

= 180(5)

= 900°

(x + 50) + (x + 50) + (x + 50) + x + x + x + (x + 50) = 900

4(x + 50) + 3x = 900

4x + 200 + 3x = 900

7x = 900 - 200

7x = 700

x = 700 / 7

x = 100

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Given that tan^2 theta=3/8,what is the value of sec theta?

algol [13]

Answer:

The value of SecФ is $\pm \sqrt{\frac{11}{8}}$ .

Step-by-step explanation:

Given as for trigonometric function :

tan²Ф = $\frac{3}{8}$

Or, tanФ = $\sqrt{\frac{3}{8} }$

∵ tanФ = $\frac{Perpendicular}{Base}$

So, $\frac{Perpendicular}{Base}$ = $\sqrt{\frac{3}{8} }$

So, Hypotenuse² = perpendicular² + base²

or, Hypotenuse² = ( $\sqrt{3}$ )² + ( $\sqrt{8}$ )²

Or, Hypotenuse² = 3 + 8 = 11

Or, Hypotenuse = ( $\sqrt{11}$ )

Now SecФ = $\frac{Hypotenuse}{Base}$

or, SecФ = $\frac{\sqrt{11}}{\sqrt{8}}$ = $\sqrt{\frac{11}{8} }$

<u>Second Method</u>

Sec²Ф - tan²Ф = 1

Or, Sec²Ф = 1 + tan²Ф

or, Sec²Ф = 1 + $\frac{3}{8}$

Or, Sec²Ф = $\frac{11}{8}$

Or, SecФ = $\pm \sqrt{\frac{11}{8}}$

Hence The value of SecФ is $\pm \sqrt{\frac{11}{8}}$ . Answer

7 0

3 years ago

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Name: 1. Label the axes. 2. Graph: A(-3, 0) B(-2, 4) C(1, -1) Draw AABC in blue. 3. Rotate AABC 90° clockwise to create AA'B'C'

nikklg [1K]

Answer:

its B because

Step-by-step explanation:

Simplifying

41n(7x) = 8

Remove parenthesis around (7x)

41n * 7x = 8

Reorder the terms for easier multiplication:

41 * 7n * x = 8

Multiply 41 * 7

287n * x = 8

Multiply n * x

287nx = 8

Solving

287nx = 8

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Divide each side by '287x'.

n = 0.02787456446x-1

Simplifying

n = 0.02787456446x-1

3 0

2 years ago

There are 120 planes on an airfield. If 75% of the planes take off, how many planes took off?

Soloha48 [4]

Answer:

You have to do 120 divided by 0.75 use a calculator

Step-by-step explanation:

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3 years ago

What is the answer to this question

timama [110]

Answer:

$b^6z^612a^5$

Step-by-step explanation:

The first step is to combine like terms, and multiply them together first. Since multiplication is commutative, it doesn't matter in what order you do it. Therefore, this can be rewritten as $(2a^2\cdot 6a^3)\cdot(b^4\cdot b^2)\cdot(z\cdot z^5)=(12a^5)\cdot(b^6)\cdot(z^6)=b^6z^612a^5$ . Hope this helps!

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3 years ago

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Mark wants to paint a mural. He has 1 1/8 gallons of yellow paint, 1 1/9 gallons of green paint, and 7/8 gallon of blue paint. M

Sauron [17]

Here is the set up:

(3/4)[(11/8) + (11/9) + (7/8)]

Do the math to find your answer.

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4 years ago

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