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lozanna [386]
2 years ago
10

The graph shows an image of dilation about the origin with a scale factor of 1/2

Mathematics
2 answers:
bonufazy [111]2 years ago
8 0

Answer:

Step-by-step explanation:

It's a

Gala2k [10]2 years ago
6 0
I had this before and I think is was A.
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9. A circle has an arc of length 56pi that is intercepted by a central angle of 120 degrees. What is the radius of the circle?
SSSSS [86.1K]

Answer:

Part 4) r=84\ units

Part 9) sin(\theta)=-\frac{\sqrt{5}}{3}

Part 10) sin(\theta)=-\frac{9\sqrt{202}}{202}

Step-by-step explanation:

Part 4) A circle has an arc of length 56pi that is intercepted by a central angle of 120 degrees. What is the radius of the circle?

we know that

The circumference of a circle subtends a central angle of 360 degrees

The circumference is equal to

C=2\pi r

using proportion

\frac{2\pi r}{360^o}=\frac{56\pi}{120^o}

simplify

\frac{r}{180^o}=\frac{56}{120^o}

solve for r

r=\frac{56}{120^o}(180^o)

r=84\ units

Part 9) Given cos(∅)=-2/3 and ∅ lies in Quadrant III. Find the exact value of sin(∅) in simplified form

Remember the trigonometric identity

cos^2(\theta)+sin^2(\theta)=1

we have

cos(\theta)=-\frac{2}{3}

substitute the given value

(-\frac{2}{3})^2+sin^2(\theta)=1

\frac{4}{9}+sin^2(\theta)=1

sin^2(\theta)=1-\frac{4}{9}

sin^2(\theta)=\frac{5}{9}

square root both sides

sin(\theta)=\pm\frac{\sqrt{5}}{3}

we know that

If ∅ lies in Quadrant III

then

The value of sin(∅) is negative

sin(\theta)=-\frac{\sqrt{5}}{3}

Part 10) The terminal side of ∅ passes through the point (11,-9). What is the exact value of sin(∅) in simplified form?    

see the attached figure to better understand the problem

In the right triangle ABC of the figure

sin(\theta)=\frac{BC}{AC}

Find the length side AC applying the Pythagorean Theorem

AC^2=AB^2+BC^2

substitute the given values

AC^2=11^2+9^2

AC^2=202

AC=\sqrt{202}\ units

so

sin(\theta)=\frac{9}{\sqrt{202}}

simplify

sin(\theta)=\frac{9\sqrt{202}}{202}

Remember that      

The point (11,-9) lies in Quadrant IV

then      

The value of sin(∅) is negative

therefore

sin(\theta)=-\frac{9\sqrt{202}}{202}

5 0
3 years ago
Two standard 6-sided number cubes are rolled, a red one and a blue one. How many different sums are possible? ​
AlladinOne [14]

Answer:

There are 11 different sums.

Step-by-step explanation:

When you roll two dice, the smallest number you can get is 2, and the largest 12, and you can get all in between. So 12-2 is equal to 10, but we have to add another 1 because 2 counts. So the answer is 11.

8 0
3 years ago
HELP ill give brainliest to the RIGHT answer
Leni [432]
The answer is 140.

Hope this helped :D
4 0
3 years ago
A town accumulated 2 inches of snow and the depth is increasing by 6 inches every hour. A nearby town ha accumulated 9 inches of
Svetach [21]

Answer: it will take 2.33 hours for the snow fall in both of the towns be equal.

Step-by-step explanation:

Let x represent the number of hours that it will take for the snow fall in both of the towns be equal.

A town accumulated 2 inches of snow and the depth is increasing by 6 inches every hour. This means that in x hours, the depth of snow in the town would be

6x + 2

A nearby town has accumulated 9 inches of snow and the depth is increasing by 3 inches every hour. This means that in x hours, the depth of snow in the town would be

3x + 9

For the snow fall in both of the towns be equal, the number of hours would be

6x + 2 = 3x + 9

6x - 3x = 9 - 2

3x = 7

x = 7/3 = 2.33 hours

8 0
3 years ago
1. What is the midpoint of AB?
SOVA2 [1]

Answer:

(-4, -1/2)

Step-by-step explanation:

The endpoints of AB are (-5,-4) and (-3,3)

To find the midpoints add the endpoints and divide by 2

(-5+-3)/2, (-4+3)/2

-8/2, -1/2

-4,  -1/2

4 0
3 years ago
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