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2 years ago

What is the length of the arc on a circle with radius 10 cm intercepted by a 20° angle?

Mathematics

1 answer:

-BARSIC- [3]2 years ago

8 0

Answer:

3.489 cm

Step-by-step explanation:

Arc length = 2πr x central angle/360

2 x 3.14 x 10 x 20/360 = 3.489

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How many digits are there in the repeating block for the decimal equivalent<br> of 3 over 7?

Sindrei [870]

Step-by-step explanation:

$\text{By long division, we know that}$

$\frac37=0.425871425871425871\ldots$

$\text{Observing the pattern, we know the repeating block is }\overline{425871}\text{. Therefore, there are 6 digits in the repeating block}$

7 0

2 years ago

The following graph represents the hourly commission of a home appliance salesperson, y, based on the number of salespeople that

grandymaker [24]

We have been given graph of a downward opening parabola with vertex at point $(6.5,42.25)$ . We are asked to write equation of the parabola in standard form.

We know that equation of parabola in standard form is $f(x)=ax^2+bx+c$ .

We will write our equation in vertex form and then convert it into standard form.

Vertex for of parabola is $y=a(x-h)^2+k$ , where point (h,k) represents vertex of parabola and a represents leading coefficient.

Since our parabola is downward opening so leading coefficient will be negative.

Upon substituting coordinates of vertex and point (0,0) in vertex form, we will get:

$0=-a(0-6.5)^2+42.25$

$0=-a(42.25)+42.25$

$-42.25=-a(42.25)+42.25-42.25$

$-42.25=-42.25a$

$a=1$ Divide both sides by $-42.25$

So our equation in vertex form would be $f(x)=-(x-6.5)^2+42.25$ .

Let us convert it in standard from.

$f(x)=-(x^2-13x+42.25)+42.25$

$f(x)=-x^2+13x-42.25+42.25$

$f(x)=-x^2+13x$

Therefore, the equation of function is standard form would be $f(x)=-x^2+13x$ .

3 0

3 years ago

What’s 6 (3x + 5) please

olga nikolaevna [1]

6(3x+5)

6*3x=18x

6*5=30

<u>18x+30</u> is your answer! I hope this helped! :)

5 0

2 years ago

Find the difference!!!!!!!!!!!!!!!!!!11

pav-90 [236]

Answer:

-4

Step-by-step explanation:

-10 - (-6)

Remove the brackets:

-10 - - 6

Remember that all negative and negative values are always positive because they are the same; if they are different, for instance, a positive value and a negative value, then that value will be a negative value.

Continue solving:

-10 - - 6

- and - are positive values

- 10 + 6

= - 4

Therefore the answer is 4

6 0

2 years ago

On a coordinate plane, line M N goes through points (2, 3) and (negative 3, 2). Point K is at (3, negative 3). Which point could

Fynjy0 [20]

MN goes through

(2,3)
(-3,2)

Slope:-

m=2-3/-3-2=-1/-5=1/5

Slope of perpendicular line:-

-5

Passes through k(3,-3)

Equation in point slope form

y-y1=m(x-x1)
y+3=-5(x-3)
y+3=-5x+15
y=-5x+12

Check one by one

0=-5(-12)+12=60+12=72
2=-5(2)+12=-10+12=2

Yes option B is correct

8 0

2 years ago

Read 2 more answers