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3 years ago

What types of angles are <4 and <5?

Mathematics

1 answer:

alexandr1967 [171]3 years ago

7 0

Answer: Alternate interior angles

Step-by-step explanation:

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The arc length of a sector is equal to four times the radius. Express the arc length s

Sveta_85 [38]

Answer:

Step-by-step explanation:

Given that,

The arc length is four times the radius

Let he radius be 'r'

Then, the arc length be 's'

The arc of a sector can be calculated using

s=θ/360 × 2πr

Then, given that s=4r

So, 4r = θ × 2πr / 360

Divide both side r

4 = θ × 2π/360

Then, make θ subject of formula

θ × 2π = 360 × 4

θ = 360 × 4 / 2π

θ = 720 / π

So, area of the sector can be determine using

A = θ / 360 × πr²

Since r = ¼s

Then,

A = (θ/360) × π × (¼s)²

A = (θ/360) × π × (s²/16)

A = θ × π × s² / 360 × 16

Since θ = 720 / π

A = (720/π) × π × s² / 360 × 16

A = 720 × π × s² / 360 × 16 × π

A = s² / 8

Then,

s² = 8A

Then,

s= √(8A)

s = 2 √2•A

6 0

3 years ago

If x = <br><img src="https://tex.z-dn.net/?f=2%20%2B%20%20%5Csqrt%7B3%7D%20" id="TexFormula1" title="2 + \sqrt{3} " alt="2 + \

fomenos

I think it’s going to be 14

8 0

4 years ago

Read 2 more answers

A triangle has two 52° angles and one 76° angle. What kind of triangle is it?

r-ruslan [8.4K]

Answer:

Isosceles triangle

Step-by-step explanation:

There are three different kinds of triangle: equilateral, isosceles, and scalene.

-Equilateral triangles are triangles where all 3 sides and angles are the same. (First image)

-Isosceles triangles are triangles where 2 of the sides and angles are the same, while the third side and angle is different. (Second image)

-Scalene triangles are triangles where all 3 sides and angles are different. (Third image)

In the case of this triangle, two of the sides have the same 52 degree angle. They would also have the same side lengths, and <u>thus be a isosceles triangle. </u>

Hope this helps! :3

7 0

2 years ago

A restaurant offers a dinner special in which diners can choose any one of 3 appetizers, any one of 4 entrées, any two different

Kitty [74]

360 different choices

6 0

3 years ago

Let f(x) = Square root x. Find g(x), the function that is f(x) shifted up 7 units and left 1 units.

Rudik [331]

$~\hspace{10em}\textit{function transformations} \\\\\\ \begin{array}{llll} f(x)= A( Bx+ C)^2+ D \\\\ f(x)= A\sqrt{ Bx+ C}+ D \\\\ f(x)= A(\mathbb{R})^{ Bx+ C}+ D \end{array}\qquad \qquad \begin{array}{llll} f(x)=\cfrac{1}{A(Bx+C)}+D \\\\\\ f(x)= A sin\left( B x+ C \right)+ D \end{array} \\\\[-0.35em] ~\dotfill$

$\bullet \textit{ stretches or shrinks horizontally by } A\cdot B\\\\ \bullet \textit{ flips it upside-down if } A\textit{ is negative}\\ ~~~~~~\textit{reflection over the x-axis} \\\\ \bullet \textit{ flips it sideways if } B\textit{ is negative}\\ ~~~~~~\textit{reflection over the y-axis} \\\\ \bullet \textit{ horizontal shift by }\frac{ C}{ B}\\ ~~~~~~if\ \frac{ C}{ B}\textit{ is negative, to the right}\\\\ ~~~~~~if\ \frac{ C}{ B}\textit{ is positive, to the left}$

$\bullet \textit{ vertical shift by } D\\ ~~~~~~if\ D\textit{ is negative, downwards}\\\\ ~~~~~~if\ D\textit{ is positive, upwards}\\\\ \bullet \textit{ period of }\frac{2\pi }{ B}$

keeping in mind that template, let's take a looksie

$f(x) = \sqrt{x}\implies f(x) = A\sqrt{Bx + C}+D\implies f(x) = 1\sqrt{1x+0}+0 \\\\\\ \begin{cases} D = \stackrel{\textit{shifted up}}{+7}\\ C = \stackrel{\textit{left shift}}{+1} \end{cases}~\hspace{4em}g(x) = 1\sqrt{1x+1}+7\implies g(x) = \sqrt{x+1}+7$

8 0

3 years ago