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2 years ago

Find -2 1/6 + ( - 2/3 )= Write your answer as a fraction in simplest form.

Mathematics

2 answers:

SashulF [63]2 years ago

8 0

-2 5/6 is the correct answer

xxMikexx [17]2 years ago

4 0

Answer:

-2 5/6

Step-by-step explanation:

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For the figures below, assume they are made of semicircles, quarter circles and squares. For each shape, find the area and perim

Marina86 [1]

Area of the shaded region $$=36(\pi -2)$ square cm

Perimeter of the shaded region $=6 (\pi + 2\sqrt 2)$ cm

Solution:

Radius of the quarter of circle = 12 cm

Area of the shaded region = Area of quarter of circle – Area of the triangle

$$=\frac{1}{4} \pi r^2 - \frac{1}{2} bh$

$$=\frac{1}{4} \pi \times 12^2 - \frac{1}{2} \times 12 \times 12$

$$=36\pi -72$

$$=36(\pi -2)$ square cm.

Area of the shaded region $$=36(\pi -2)$ square cm

Using Pythagoras theorem,

$AC^2=AB^2+BC^2$

$AC^2=12^2+12^2$

$AC^2=288$

Taking square root on both sides of the equation, we get

$AC= 12\sqrt 2$ cm

Perimeter of the quadrant of a circle = $\frac{1}{4} \times 2\pi r$

$$=\frac{1}{4} \times 2 \times \pi \times 12$

$$=6 \pi$ cm

Perimeter of the shaded region = $6 \pi + 12\sqrt 2$ cm

$=6 (\pi + 2\sqrt 2)$ cm

Hence area of the shaded region $$=36(\pi -2)$ square cm

Perimeter of the shaded region $=6 (\pi + 2\sqrt 2)$ cm

6 0

2 years ago

What is the y-intercept -x+5y=45

Karo-lina-s [1.5K]

To find the y-intercept, we can convert this to slope-intercept form, or replace the value of x with 0 and solve for y.

We'll do both first.

-x + 5y = 45

5y = 45

Divide both sides by 5.

y = 9

Now let's convert it to slope-intercept.

-x + 5y = 45

Add x to both sides.

5y = 45 + x

Divide both sides by 5.

y = 1/5x + 9

y = 9

<h3><u>The y-intercept of our line is 9.</u></h3>

3 0

2 years ago

I WILL GIVE BRAINLIEST TO WHOEVER ANSWERS ALL 5 QUESTIONS AND I WILL ALSO GIVE 11 POINTS. PLEASE HELP ME I NEED IT SO MUCH.

balandron [24]

1. (-5,-11)
2. C, reflected across x-axis then translated.
3. A’(-1,7), B’(-4,6), C’(-2,2)
4. C’(3,-4)
5. B, rotates 90 counter clockwise and then translate

(if any of these are wrong i’m sorry! :<)

7 0

2 years ago

You roll a dice three times what is the probability that you roll an even number on the first roll, and odd on the second roll a

Dafna1 [17]

<h3>Answer:</h3>

D. 1/24

<h3>Step-by-step explanation:</h3>

Assuming the die is fair and the events are independent, the probability of the series of events is the product of the probabilities of the individual events.

p(even) = 3/6 = 1/2

p(odd) = 3/6 = 1/2

p(5) = 1/6

Then the joint probability is ...

.. (1/2)·(1/2)·(1/6) = 1/24

7 0

3 years ago

0+oi, 4+0iand 0+3i the area and the length

Nuetrik [128]

What's the question you're asking?

5 0

2 years ago