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4 years ago

Plz helppp..........!!!!!!!!!!!

Mathematics

1 answer:

Setler [38]4 years ago

5 0

Answer:

~ 50 centimeters of the poster ~

Step-by-step explanation:

Let us plan out our steps, and solve for each:

1. Given the information, let us create a proportionality as such:

5 = 1 ⇒ x - centimeters of the poster

x 10

2. Now let us cross multiply, and solve through simple algebra for x:

5 * 10 = x,

x = 50 centimeters of the poster

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AABC has vertices A(-4, 4), B(-1,2), and C(-4,1). What are the coordinates of

steposvetlana [31]

Answer:

(1, - 3 )

Step-by-step explanation:

Using the translation rule (x, y ) → (x + 2, y + 1 ), then

B(- 1, 2 ) → (- 1 + 2, 2 + 1) → (1, 3 )

Under a reflection in the x- axis

a point (x, y ) → (x, - y ), thus

(1, 3 ) → (1, - 3 )

6 0

3 years ago

15 points!!! GEOMETRY help please!! Questions attached!

dolphi86 [110]

3. Look at the picture.

We have the right angle triangle. We know the sum of measures of angles in triangle is equal 180°. Therefore:

$x^o+90^o+43^o=180^o\\\\x^o+133^o=180^o\ \ \ |-133^o\\\\x^o=47^o$

$Answer:\ \boxed{47^o}$

4.
Look at the picture.

Use Pythagorean theorem:

$x^2+14^2=(10+x)^2\\\\x^2+196=10^2+2\cdot10\cdot x+x^2\ \ \ \ |-x^2\\\\196=100+20x\ \ \ |-100\\\\20x=96\ \ \ |:20\\\\x=4.8$

$Used:\ (a+b)^2=a^2+2ab+b^2$

$Answer:\ \boxed{4.8\ units}$

5.
TRUE: 1; 2; 4

6.
We find a slope of the line OP:

$m=\dfrac{y_2-y_1}{x_2-x_1}\\\\O(2;\ 6)\to x_1=2;\ y_1=6\\\\P(4;\ 3)\to x_2=4;\ y_2=3\\\\m=\dfrac{3-6}{4-2}=\dfrac{-3}{2}$

We have: $OP:\ y=-\dfrac{3}{2}x+b$

Now, we must find the slope of the line perpendicular to the line OP.
We know:

$k:y=m_1x+b;\ l:y=m_2x+c\\\\k\ \perp\ l\iff m_1m_2=-1$

therefore

$-\dfrac{3}{2}m_2=-1\ \ \ |\cdot\left(-\dfrac{2}{3}\right)\\\\m_2=\dfrac{2}{3}$

So. We have the answer! :)

$Answer:\ \boxed{y=\dfrac{2}{3}x+\dfrac{1}{3}}$

6 0

3 years ago

Circle the two addends which make a sum of the shaded 12

gogolik [260]

The answer is 6 you divide 12 by 2

3 0

3 years ago

A certain state uses the following progressive

mr_godi [17]

9514 1404 393

Answer:

$3684

Step-by-step explanation:

The tax on the first $2000 is 0.02×$2000 = $40.

The tax on the next $9000 -2000 = $7000 is 0.05×$7000 = $350.

The tax on the next $70000 -9000 = $61000 is 0.054×$61000 = $3294.

Then the total tax due is $40 +350 +3294 = $3684.

The state income tax owed is $3684.

_____

Additional comment

For amounts over $9000, the tax owed can also be computed as ...

tax = (income × 0.054) - $96

which we consider to be a much simpler calculation.

7 0

3 years ago

Can somebody please help. I am unsure how to solve these.

Keith_Richards [23]

Answer:

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Step-by-step explanation:

4 0

3 years ago

Read 2 more answers