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2 years ago

Please help, functions:)

Mathematics

2 answers:

S_A_V [24]2 years ago

7 0

Answer:

y = 1/2x

Step-by-step explanation:

Use slope = rise/run.

qaws [65]2 years ago

7 0

The answer is y=1/2 because you can use the formula k=y/x to the find the constant value so if you take the two numbers from the second column you would take the y which is 1 out it on top and then 2 which is x on bottom which would look like 1/2 which gives you you’re answer. (also if you can when using this method always reduce)

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Use the rectangle hexagon with side length 10 meters to fill in the missing information

Vlada [557]

Answer:

$A_h=150\sqrt{3}\ m^2$

Step-by-step explanation:

<u>Regular Hexagon</u>

For the explanation of the answer, please refer to the image below. Let's analyze the triangle shown inside of the hexagon. It's a right triangle with sides x,y, and z.

We know that x is half the length of the side length of the hexagon. Thus

$x=5 m$

Note that this triangle repeats itself 12 times into the shape of the hexagon. The internal angle of the triangle is one-twelfth of the complete rotation angle, i.e.

$\theta=360/12=30^o$

Now we have $\theta$ , the height of the triangle y is easily found by

$\displaystyle tan30^o=\frac{x}{y}$

Solving for y

$\displaystyle y=\frac{x}{tan30^o}=\frac{5}{ \frac{1} {\sqrt{3} }}=5\sqrt{3}$

The value of z can be found by using

$\displaystyle sin30^o=\frac{x}{z}$

$\displaystyle z=\frac{x}{sin30^o}=\frac{5}{\frac{1}{2}}=10$

The area of the triangle is

$\displaystyle A_t=\frac{xy}{2}=\frac{5\cdot 5\sqrt{3}}{2}=\frac{25\sqrt{3}}{2}$

The area of the hexagon is 12 times the area of the triangle, thus

$\displaystyle A_h=12\cdot A_t=12\cdot \frac{25\sqrt{3}}{2}=150\sqrt{3}$

$\boxed{A_h=150\sqrt{3}\ m^2}$

6 0

3 years ago

After a 60% reduction you purchase a new sofa on sale for 224.what is the original price of the sofa

zhenek [66]

Step-by-step explanation:

after 60% reduction he paid 40% of its price=224

$\frac{40}{100} = \frac{224}{?}$

224×100=40×?

?=560

6 0

3 years ago

AABC is dilated by a factor of 4 to produce AA'B'C'.

Natalka [10]

Answer:

Step-by-step explanation:

because the sky is blue

3 0

3 years ago

Read 2 more answers

What’s is the area of a regular octagon with a radius of 12?

worty [1.4K]

Answer:

Area = 672.62sq2

Step-by-step explanation:

The sum of all octagon angles is 1080 degrees, which makes each angle equal to 135 degrees in measure. However we can cut into 4 which is easier and use one triangle angle as 2 triangles

We use trigonometry and find a right angle in the triangle cuts and know finding area of one triangle we just multiply by 8 after to find the area.

L 1 = 12

Angle = 135/2 = 67.5 degree to make the 2nd triangle = right angle triangle. like quarter of the octagon 8.2 = 4 = 1/4 of the Octagon = 360/4 = 90 angle etc.

Sin (67.5) = 0.9238795325

12/ 0.9238795325 = 12.9887064037 We know have 2 sides and need the third side that make up the two combined triangles.

12sq = 144

12.9887064037 x 12.9887064037 = 168.706494042sqrt

144+ 12.9887064037 = 56.9887064037

2 triangle abc/abc = 12.9887064037, 56.9887064037, and 12

We know 56.99 we know this represents 2 sides but have to half and get back to one triangle, or the area becomes off sync with the way the hexagon angles jut out.

So 56.9887064037/2 = 28.4943532019/2

We know cna find height using 28.49/2 base here by dividing by 2. then using half a normal angle of hexagon = 135 degree

= 67.5 into the calculator.

14.247176601 /tan (67.5 ) (O/H) = 5.901373774

A = H x (Half Base) =14.247176601 x 5.901373774 = 84.0779143467 x 8

then multiply by 8 = 672.623314774

Area = 672.62sq2

3 0

3 years ago

What is 5+7*5*5(for 50 points)

zvonat [6]

The equation 5 + 7 x 5 x 5 equals 180

3 0

3 years ago

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