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3 years ago

Find measure of angle a.

Mathematics

1 answer:

Vladimir79 [104]3 years ago

3 0

Answer:

150

Step-by-step explanation:

First a diagram which looks like a 12 sided figure where all the sides are equal.

Now draw 2 consecutive radii.

There are 12 such triangles in a 12 sided polygon.

These triangles have an apex angle of 360 / 12 = 30 degrees.

The other two angles making up the triangle are both equal. Therefore x + x + 30 = 180

2x = 150

x = 75

But 75 is 1/2 of the interior angle. There are 2 such angles making up the interior angle 75 + 75 = 150

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Write the equation of the line perpendicular to y = x+ 5 that passes through the point ( -7,3).

Burka [1]

Answer:

y = - x - 4

Step-by-step explanation:

A line perpendicular to the line: y = x + 5

must have a slope that is the "opposite of the reciprocal" of the slope of the given line. Then the slope of the perpendicular line must be "-1".

Now that we know the slope of the perpendicular line, we use the point (-7, 3) to complete the equation of the line:

y = -1 x + b

3 = -1 (-7) + b

then we solve for "b":

3 = 7 + b

3 - 7 = b

b = -4

Now we can write the total equation of the perpendicular line in slope-intercept form as:

y = - x - 4

3 0

3 years ago

A quantity P is an exponential function of time I, such that P = 160 when t = 6 and P = 150 when I = 4. Use the given informatio

Klio2033 [76]

Answer:

k = 0.032
P0 = 131.836

Step-by-step explanation:

Perhaps you want to use the points (t, P) = (4, 150) and (6, 160) to find the parameters P0 and k in the equation ...

$P(t)=P_0\cdot e^{kt}$

We know from the given points that we can write the equation as ...

$P(t)=150\left(\dfrac{160}{150}\right)^{(t-4)/(6-4)}=150\left(\dfrac{16}{15}\right)^{\frac{t}{2}-2}\\\\=150\left(\dfrac{16}{15}\right)^{-2}\times\left(\left(\dfrac{16}{15}\right)^{\frac{1}{2}}\right)^t$

Comparing this to the desired form, we see that ...

$P_0=150\left(\dfrac{16}{15}\right)^{-2}\approx 131.836\\\\e^{k}=\left(\dfrac{16}{15}\right)^{1/2}\rightarrow k=\dfrac{1}{2}(\ln{16}-\ln{15})\approx 0.0322693$

So, the approximate equation for P is ...

$P(t)=131.836\cdote^{0.032t}$

And the parameters of interest are ...

k = 0.032
P0 = 131.836

4 0

3 years ago

Please heko me i need this today

Artyom0805 [142]

In the tenth month, 550 copies will be sold in the tenth month.

In a year, 780 copies will be sold.

Hope this helps!

6 0

4 years ago

Read 2 more answers

What is the equation of the line that passes through (-5, 0) and (4, 3)?

kotegsom [21]

Answer:

y = 1/3x + 5/3

Step-by-step explanation:

An equation contains a slope and y-intercept, in the form y = mx + b. To find the slope or m, you need to plug the coordinates into the slope formula.

y2 - y1/ x2 - 1

3 - 0/ 4 - (-5)

= 3 / 9

= 1/3

Now that we know the slope, we need to plug the values of x and y to find the y-intercept.

y = 1/3x + b

3 = 1/3(4) + b

3 = 4/3 + b

5/3 = b

The equation is y = 1/3x + 5/3

3 0

3 years ago

A baseball player hits a pop fly ball toward left field where it is caught by a player at a height of 5 feet. The ball was hit a

MakcuM [25]

Answer:

The range of the function are the values of height which are from 3, 4, 5, ..., 50

Step-by-step explanation:

The given parameters are;

The height at which the ball is caught = 5 feet

The height at which the ball was hit = 3 feet

The maximum height reached by the ball = 50 feet

The height of the ball given as a function of time is f(t) s = u·t - 1/2·g·t²

Where;

s = 50 feet

g = 9.81 m/s²

Therefore, we have;

50 = u·t - 1/2 × 9.81 × t²

50 = u·t - 4.905 × t²

Therefore, the range are obtainable values for f(t) which range from 3 to 50.

5 0

3 years ago