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2 years ago

11

An angle with its vertex at the center of a circle intercepts an 80° arc of that circle.

1 answer:

AlladinOne [14]2 years ago

4 0

let's recall that, arc's angle measures come from the central angle they're in.

if this intercepted arc is 80°, and is intercepted by an angle stemming from the center, namely a central angle, then the angle is also 80°. Check the picture below.

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Sami's bank account earns 4% simple interest per year. If Sami deposits $500, how much simple interest will she earn in one year

timurjin [86]

Answer:

$20 simple interest.

Step-by-step explanation:

The simple interest that Sami earns is 4% of her deposit since she is trying to find how much she will earn in one year (given that the interest rate is 4% per annum).

$\$500\times4\%=\$20$

∴ Sami earns $20 simple interest in one year.

Hope this helps :)

6 0

2 years ago

How do i put this in slope-intercept form. passes through 2,-2 and 4,-1

enot [183]

Answer:

$\large\boxed{y=\dfrac{1}{2}x-3}$

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept</em>

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have two points (2, -2) and (4, -1).

Substitute:

$m=\dfrac{-1-(-2)}{4-2}=\dfrac{-1+2}{2}=\dfrac{1}{2}$

Put the value of a slope and the coordinates of the point (2, -2) to the equation of a line:

$-2=\dfrac{1}{2}(2)+b$

$-2=1+b$ <em>subtract 1 from both sides</em>

$-3=b\to b=-3$

Finally:

$y=\dfrac{1}{2}x-3$

5 0

2 years ago

Casey is six times as old as Ralph. In two years, she will be four times as old as Ralph. How old is each of them now?

lisov135 [29]

Ralph is 3 years old

Casey is 18 years old

Step-by-step explanation:

Let the age of Ralph be x

Then Casey is 6 times as old as Ralph will be 6x

In two years

Ralph =x+2

Casey=6x+2 ⇒ 4(x+2)

Equate the two equations for Casey as

6x+2 = 4x+8

6x-4x=8-2

2x=6

x=6/2= 3

Current age;

Ralph= x= 3 years old

Casey=6x = 6*3= 18 years

Learn More

Forming expressions and solving equations;brainly.com/question/1280754

Keywords :six, times, years

#LearnwithBrainly

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2 years ago

If it is 9:26, what time will it be in 54 minutes?

Nata [24]

Answer:

In 54 minutes, it'll be 10:30.

6 0

2 years ago

What is 65 x 264 + 81 - 94

zmey [24]

Answer: 17,147

Step-by-step explanation:

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2 years ago