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3 years ago

Name the image by the number of sides and whether it is concave or convex.

Mathematics

2 answers:

fredd [130]3 years ago

3 0

Answer:

concave pentagon I'm thinking

jekas [21]3 years ago

3 0

Answer:

A. Convex pentagon

Step-by-step explanation:

It has 5 sides, so it is a pentagon.

A convex polygon is a polygon with all interior angles smaller than 180°.

We know this is true for the given polygon.

Correct choice is A.

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Find the values of cosΘ and tanΘ, given that sinΘ = 8/9 and Θ is in quadrant I

Misha Larkins [42]

$sin^2 \alpha +cos^2 \alpha =1\ \ \ and\ \ \ tan \alpha = \frac{\big{sin \alpha }}{\big{cos \alpha }} \\\\sin \alpha = \frac{8}{9}\\\\ \Rightarrow\ \ \ (\frac{8}{9})^2+cos^2 \alpha =1\ \ \ \Rightarrow\ \ \ cos^2 \alpha =1- \frac{64}{81} \ \ \ \Rightarrow\ \ \ cos^2 \alpha = \frac{17}{81} \\\\ \alpha \ \in\ (0^0;90^0)\ \ \ \Rightarrow\ \ \ cos \alpha >0\ \ \ \Rightarrow\ \ \ cos \alpha = \frac{ \sqrt{17} }{9} \\\\$

$tan \alpha = \frac{8}{9}: \frac{ \sqrt{17} }{9} =\frac{8}{9}\cdot \frac{9}{\sqrt{17}}= \frac{8}{\sqrt{17}}= \frac{8\cdot \sqrt{17}}{\sqrt{17}\cdot \sqrt{17}}=\frac{8\cdot \sqrt{17}}{17}$

6 0

3 years ago

Adam has been asked to post a parcel for a family member. He has been told that the parcel weighs 12 lbs 8 oz. 1lb = 16 oz 1lb =

jasenka [17]

Answer:

The weight of the parcel is approximately 6 kilograms.

Step-by-step explanation:

The weight of the parcel is 12 lbs and 8 oz.

1 lb = 16 oz

So, 8 oz = $\frac{1}{2}lb = 0.5$ lb.

That means, 12 lbs and 8 oz = (12 + 0.5) lbs = 12.5 lbs

Now, 1 lb = 454 g

So, 12.5 lbs = (12.5 × 454) g = 5675 g

As, 1 kilogram = 1000 g

That means, 1 g = 0.001 kilogram

So, 5675 g $= (5675 \times0.001) kilograms= 5.675 \approx 6$ kilograms. (Rounded to the nearest whole kilogram)

Thus, the weight of the parcel is approximately 6 kilograms.

5 0

3 years ago

A movie theater charges $6.50 for matinee showings and $8.75 for evening showings. Yesterday the theater sold 378 tickets for a

harina [27]

The number of matinee tickets sold would be 168

6 0

3 years ago

Read 2 more answers

Someone please convert this equation to slope intercept form: 2x - 3y = 6?

IgorLugansk [536]

Slope y-intercept form is: y=mx+b

All you have to do is rearrange the equation:

2x-3y=6
2x=6+3y
2x-6=3y

now divide both sides by 3
(2x/3)-(6/3)=(3y/3)

and it becomes
$y= \frac{2}{3}x-2$ x

Bonus: you can plug in any two values for x and y and you can see both equation gives the same answer!

8 0

3 years ago

Find the area of the figure a) 114cm2 b) 350cm2 c) 418cm2 d) 447cm2

uysha [10]

Answer: I thin it's A because you just multiply 19*6

Step-by-step explanation:

4 0

3 years ago