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4 years ago

Help me find the arc length of this. Thank you.

Mathematics

1 answer:

BabaBlast [244]4 years ago

4 0

The red chord is a diameter of the circle, so the length of the blue arc is half the circle's circumference.

The circumference of a circle with diameter $d$ is $\pi d$ , so the circle has circumference $8\pi$ , and so the arc has length $4\pi$ .

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aleksandrvk [35]

Step-by-step explanation:

$38.25/$4.25 ×1hr

9hrs

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2 years ago

The total number of students in the seventh grade is 9 more than 4 times as many students as are in the art class. If there are

mariarad [96]

Answer:

I think there are 23 students in the art class.

Step-by-step explanation:

You first subtract 9 from 101. Then, you divide by four to get 23.

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3 years ago

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lbvjy [14]

Answer:

$\sf \: \fbox{Option C) \: The salary of B is 6000₹}$

Step-by-step explanation:

Let the salary or A is x and salary of B is y.

now,

Condition one,The sum of 3/4th of A’s salary and 5/3rd of B’s salary is ₹16,000.

writing above statement in equation form,

$\sf \frac{3x}{4} + \frac{5y}{3} = 16000$

Multiplying above equation with twelve,

$\sf \frac{3x}{4} + \frac{5y}{3} = 16000 \\ \sf \frac{12 \times 3x}{4} + \frac{12 \times 5y}{3} = 16000 \times 12 \\ \sf \fbox{9x + 20y = 192000} \rightarrow eq. 1$

and condition two,

The difference of their salaries is ₹2000

$\sf \: x - y = 2000$

Multiplying above equation with 20

$\sf \fbox{\: 20x -20y = 40000} \rightarrow eq.2$

On adding equation 1 and equation 2,

$\sf9x + \cancel{20y} = 192000 \\ \sf 20x - \cancel{20y} = 40000 \\ \hline \sf 29x + 0y = 232000 \\ \sf x = \frac{232000}{29} \\ \sf \: \fbox{x = 8000₹}$

Substituting the value of x in,

$\sf \: x - y = 2000 \\ \sf \: 8000 - y = 2000 \\ \sf \: y = 8000 - 2000 \\ \sf \fbox{y = 6000₹}$

$\sf \: \fbox{The salary of B is 6000₹}$

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5 0

2 years ago

In the accompanying figure. ABCD is a square. LaTeX: AB=5x-10 A B = 5 x − 10 and LaTeX: BC=2x+20. B C = 2 x + 20. Find the value

jek_recluse [69]

Answer:
x = 10

Explanation:
A square is a quadrilateral in which all sides are equal.

We are given that:
ABCD is a square
AB = 5x - 10
BC = 2x + 20

Since we're talking about a square, therefore:
AB = BC
5x - 10 = 2x + 20
5x - 2x = 20 + 10
3x = 30
x = 30/3
x = 10

Now, we can check our solution:
AB = 5(10) - 10 = 40 units
BC = 2(10) + 20 = 40 units
We can see that both sides are equal

Hope this helps :)

8 0

3 years ago

Howard bought a dish washer for $550. He made a down payment of $75 and paid the balance off in 12 monthly payments. Find the mo

Annette [7]

Answer:

$900 for monthly payments

Step-by-step explanation:

$1450 in total

7 0

2 years ago