All categories

3 years ago

What’s the correct answer for this question?

Mathematics

1 answer:

LenKa [72]3 years ago

7 0

Answer:

Step-by-step explanation:

60° in Radians = 1.047

Using Formula

s=rθ

s= 7(1.047)

s ≈ 7.36

You might be interested in

The present age of Madison’s mother is 3 times that of Madison. After 614 years, the sum of their age will be 5334 years. Find t

Neporo4naja [7]

The present age of Madison is 1027 years and that of his mother is 3080 years (rounded off to nearest whole numbers), solved using the linear equation in one variable: (x + 614) + (3x + 614) = 5334, where x represents the present age of Madison.

<h3>What are linear equations in one variable?</h3>

Linear equations in one variable are the linear relationship between two algebraic expressions not involving more than one variable throughout the equation.

<h3>How to solve the question?</h3>

In the question, we are informed that the present age of Maison's mother is 3 times that of Madison. After 614 years, the sum of their age will be 5334 years.

We are asked to determine their present ages.

We assume the present age of Madison to be x years.

Therefore, the present age of Madison's mother = 3x years {3 times that of Madison}.

Now, after 614 years, both of their ages will increase by 614 years.

Therefore, age of Madison after 614 years = x + 614 {Present + 614}.

Age of Madison's mother = 3x + 614 {Present + 614}.

We are given that after 614 years, the sum of their ages will be 5334.

This can be represented by the linear equation in one variable:

(x + 614) + (3x + 614) = 5334

This linear equation in one variable can be simplified and solved in the following way:

or, 4x + 1228 = 5334 {Simplifying},

or, 4x + 1228 - 1228 = 5334 - 1228 {Subtracting 1228 from both sides}

or, 4x = 4106 {Simplifying}

or, 4x/4 = 4106/4 {Dividing both sides by 4},

or, x = 1026.5 {Simplifying}.

Therefore, the present age of Madison = x = 1026.5 = 1027 years (nearest whole number).

The present age of Madison's mother = 3x = 3*1026.5 = 3079.5 = 3080 years (nearest whole number).

Learn more about linear equations in one variable at

brainly.com/question/185288

#SPJ2

7 0

2 years ago

Read 2 more answers

Solve the following riddle:

marusya05 [52]

403090

haven't done number riddles in a while, sorry if my answer is incorrect.

8 0

3 years ago

Read 2 more answers

Solve the trigonometric equation on the interval of [0,2π) below:

lara [203]

Answer:

$\displaystyle \theta = \frac{3\pi}{4},\frac{11\pi}{12}, \frac{7\pi}{4}, \frac{23\pi}{12}$

Step-by-step explanation:

we would like to solve the following trigonometric equation on interval of [0,2π)

$\displaystyle \cos \left(2 \theta + \frac{\pi}{3} \right ) = \frac{ \sqrt{3} }{2}$

remember that,

$\displaystyle \cos(t) = \cos(2\pi - t)$

so the equation has two solutions

$\begin{cases} \displaystyle \cos \left(2 \theta + \frac{\pi}{3} \right ) = \frac{ \sqrt{3} }{2} \\ \cos \left(2\pi - (2 \theta + \frac{\pi}{3} )\right ) = \frac{ \sqrt{3} }{2} \end{cases}$

take inverse trig both sides which yields:

$\begin{cases} \displaystyle 2 \theta + \frac{\pi}{3} = \frac{\pi}{6} \\ 2\pi - 2 \theta - \frac{\pi}{3} = \frac{\pi}{6} \end{cases}$

simplify the second equation:

$\begin{cases} \displaystyle 2 \theta + \frac{\pi}{3} = \frac{\pi}{6} \\ \frac{5\pi}{3} - 2 \theta = \frac{\pi}{6} \end{cases}$

add period of 2kπ:

$\begin{cases} \displaystyle 2 \theta + \frac{\pi}{3} = \frac{\pi}{6} + 2k\pi \\ \frac{5\pi}{3} - 2 \theta = \frac{\pi}{6} + 2k\pi\end{cases}$

By making theta subject of the equation we acquire:

$\begin{cases} \displaystyle \theta = \frac{11\pi}{12} + k\pi \\ \theta = \frac{3\pi}{4} - k\pi\end{cases}$

since $k\in\mathbb{Z}$ we get:

$\begin{cases} \displaystyle \theta = \frac{11\pi}{12} + k\pi \\ \theta = \frac{3\pi}{4} + k\pi\end{cases}$

as we want to Solve the trigonometric equation on the interval of [0,2π) we get

$\begin{cases} \displaystyle \theta = \frac{11\pi}{12} \\ \theta = \frac{3\pi}{4} \end{cases} \text{and} \begin{cases} \displaystyle \theta = \frac{11\pi}{12} + \pi \\ \theta = \frac{3\pi}{4} + \pi\end{cases}$

by simplifying we acquire:

$\begin{cases} \displaystyle \theta = \frac{11\pi}{12} \\ \theta = \frac{3\pi}{4} \end{cases} \text{and} \begin{cases} \displaystyle \theta = \frac{23\pi}{12} \\ \theta = \frac{7\pi}{4} \end{cases}$

and we are done!

hence,

$\displaystyle \theta = \frac{3\pi}{4},\frac{11\pi}{12}, \frac{7\pi}{4}, \frac{23\pi}{12}$

8 0

3 years ago

PLEASE ANYONE!! If the area of a triangle is 32 yd^2 and the base is 6.4 yds long, find the height

hjlf

Answer:

10yd

Step-by-step explanation:

area= 1/2bh

area=32yd²

b= 6.4, ¹/2b=3.2

therefore, 32= 3.2h

h= 32/3.2

= 10yd

8 0

3 years ago

Read 2 more answers

Which of the following are equations a. y + 10 > 20 b. 2x + 30 = 20

Svet_ta [14]

Answer:

b is an equation because it has =

Step-by-step explanation:

x = -5

5 0

2 years ago