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3 years ago

Experts/ace helpppp plzzz

Mathematics

1 answer:

Dennis_Churaev [7]3 years ago

5 0

point slope form is y=mx+ b

m is slope which is given as 1/2

replace x & y into the equation to solve for b

b = 6

so equation is y =1/2x+6

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What is the arc length of the arc sub tended in a circle with radius 6 and an angle of 7 pi/ 8

KengaRu [80]

Answer:

Formula for the Arc length is given by:

$\text{Arc length} = 2 \pi r \cdot \frac{\theta}{360^{\circ}}$

As per the statement:

radius of circle(r) = 6 units

Angle ( $\theta$ ) = $\frac{7 \pi}{8}$ radian

Use conversion:

$1 rad = \frac{180}{\pi}$

$\frac{7 \pi}{8}$ = $\frac{180}{\pi} \cdot \frac{7 \pi}{8} = \frac{1260}{8} = 157.5^{\circ}$

then;

substitute these given values we have;

Use value of $\pi = 3.14$

$\text{Arc length} = 2\cdot 3.14 \cdot (6) \cdot \frac{157.5^{\circ}}{360^{\circ}}$

$\text{Arc length} = 2\cdot 3.14 \cdot (6) \cdot 0.4375$

Simplify:

$\text{Arc length}=16.485$

Therefore, the arc length of the arc substended in a circle with radius 6 units an angle of 7 pi/8 is 16.485 units

7 0

3 years ago

The energy saved by recycling one glass bottle is enough to power a washing machine for 10 minuets. How many recycled glass bott

Mrac [35]

There are 60 minutes in one hour.
Divide 60 minutes by 10 minutes.

You get 6. That means you would need 6 recycled bottles to power a washing machine for one hour (that will be awesome if that were the case).

Have an awesome day! :)

4 0

2 years ago

Read 2 more answers

Help me with these please

mixas84 [53]

Answer:

A) SAS

Step-by-step explanation:

The picture gives us that two sides are congruent. We can see that an <em>angle</em> is congruent as well because they share a common point at their tip.

If we look at just the area of intersection, it looks like an X. Think of the X as two lines intersecting. Each side equals 180°, and because both triangles are made up of those sides, we can conclude that the angles are congruent as well.

Hope this helps!

3 0

2 years ago

-3 {2x - 8} = 2x what is the value of x

Arisa [49]

Answer:

X=3

Step-by-step explanation:

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2 years ago

Read 2 more answers

PLEASEEEEE HELPPPPPPP

Vesnalui [34]

1) We are given points on the line of the graph (0,3) and (1,1).

Rise/run represents the slope of the line.

Rise/run = -2/1 = -2.

Therefore, slope of the line is -2.

<h3>Correct option is A) -2 .</h3>

2) Given equation y=7.5x-5.

From the graph we can see that line crosses x-axis at 0.667.

But we don't find any such option.

But we can see line crossing y-axis is -5.

It seems that we need to find the point where line cut y-axis.

<h3>Therefore, correct option is C option.</h3><h3>C) - 5</h3>

6 0

2 years ago