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Dmitriy789 [7]
2 years ago
11

10. Which quadrilateral is not a parallelogram?

Mathematics
2 answers:
babunello [35]2 years ago
8 0
Idek broooooooooo good luck tho
KiRa [710]2 years ago
6 0
A trapezium is not a parallelogram because parallelograms have 2 parallel sides and trapeziums have 1.
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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
Please help due today
Masteriza [31]

Answer:

tengo

Step-by-step explanation:

6 0
3 years ago
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Which simplified ratio correctly compares 12 yards to 20 ft<br><br> 5:9<br> 5:3<br> 3:5<br> 9:5
disa [49]

Answer: 3:5


Step-by-step explanation:


7 0
3 years ago
The population of Rock Springs is growing at a constant rate. The expression represents the increase in population in x years.
irakobra [83]

The function is given by

y=45,200 + 1,900x

and is of the form y = mx+b , where m is the rate of change and b is the fixed value ( or we can say initial value)

Now when we compare we get m = 1,900 for our problem .

So the population increases every year by 1,900.

3 0
3 years ago
Read 2 more answers
PLEASE SEND HELP WE DO NOT KNOW HOW TO DO THIS
Elena L [17]

ever heard of gogle Answer:

coool bro but i dont rememeber asking

Explanation:

3 0
2 years ago
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