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3 years ago

8

Find the measure of Arc PQ

1 answer:

monitta3 years ago

5 0

Answer:420

Step-by-step explanation:

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From the observation deck of a skyscraper, Christian measures a 51^{\circ}

azamat

Answer:

1394 feets

Step-by-step explanation:

The solution triangle is attached below :

The horizontal distabce from the base is denoted as d :

Using trigonometry, we can obtain d, thus ;

Tan θ = opposite / Adjacent

Tan 51 = d / 1129

d = tan 51 * 1129

d = 1394.1988 feets

d = 1394 feets

4 0

3 years ago

What is V200 in simplest form

julsineya [31]

Answer:

$10\sqrt{2}$

Step-by-step explanation:

$\sqrt{200} = \sqrt{2^{2}*2*5^{2}} = 2*5\sqrt{2} = 10\sqrt{2}$

4 0

3 years ago

A recipe for potato salad calls for one teaspoon of vinegar for every 2 teaspoons of mayonnaise. How many teaspoons of vinegar a

tino4ka555 [31]

8 teaspoons, you make the ratio 1:2. then fill it in as x:16, for every 1 teaspoon of vinager you have 2 of mayo. so you'd need to make sure than x, would make 1:2 true. 8:16 is the solution because reduced it is 1:2.

4 0

3 years ago

What is the equation?

Minchanka [31]

Answer:

y - 4 = (1/3)(x - 9) or x - 3y = -3

Step-by-step explanation:

Here we're told that the slope is 1/3 and that (9, 4) is a point on the line. Use the point-slope formula y - k = m(x - h). Substitute 4 for k, 9 for h and 1/3 for m:

y - 4 = (1/3)(x - 9) (point-slope formula)

3y - 12 = x - 9 (standard form of the same equation) = >

-12 + 9 = x - 3y, or x - 3y = -3 (standard form)

8 0

3 years ago

Complete the Square:<br> 5x^2+16x-40=8<br> (please show your steps)

Sav [38]

Answer:

Step-by-step explanation:

divide through by the coefficient of $x^{2}$

$\frac{5x^{2} }{5}$ + $\frac{16x}{5} + \frac{-40}{5} = \frac{8}{5}$

$x^{2} +\frac{16}{5}x -8 =\frac{8}{5}$

$x^{2} +\frac{16}{5} x = \frac{8}{5} +8$

$x^{2} + \frac{16}{5} x =\frac{48}{5}$

Add half of the square of the coefficient of x to both sides $(\frac{1}{2} X \frac{16}{5} ) ^{2}$

$x^{2} + \frac{16}{5}x + (\frac{1}{2} X \frac{16}{5} )^{2} =$ $\frac{48}{5} +(\frac{1}{2} X \frac{16}{5} )^{2}$

$x^{2} +\frac{16}{5} x +(\frac{16}{10}) ^{2} =\frac{48}{5} +\frac{64}{25}$

$(x +\frac{16}{10})^{2} =\frac{304}{25}$

$x +\frac{16}{10} =$ ± $\sqrt{\frac{304}{25} }$

$x = -\frac{16}{10}$ ± $\sqrt{\frac{304}{25} }$

$x=-\frac{16}{10} + \sqrt{\frac{304}{25} }$ or $-\frac{16}{10} - \sqrt{\frac{304}{25} }$

$x = 1.89$ or -5.09

5 0

3 years ago