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4 years ago

Special right triangles quick check help please! can someone check if these answers are right?

Mathematics

1 answer:

frutty [35]4 years ago

6 0

We have that cos30= $\frac{7\sqrt{3}}{w} = \frac{\sqrt{3}}{2}$ by the definition of cos as the ratio of adjacent leg over the hypotenuse. Hence, 7/w=1/2 by eradicating square roots. Solving for w in this equation we get that w=7*2=14.
We have that the 3 sides obey the Pythagoran theorem, because: $(7\sqrt{3})^2+21^2=(14\sqrt{3})^2 because 488=147+441$
Hence, the triangle is right. We also have that one side is half the hypotenuse hence one of the other angles of the triangle is 30 degrees because sin30=1/2. Finally, the third angle is 60 degrees because sum of angles=180.
Here, we have that sin 45=p/44= $\frac{\sqrt2}{2}$ . Multiplying by 44, we have that p=22 $\sqrt{2}$

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Plz help i need this answer to pass

zysi [14]

Answer:

The equation in slope-intercept form of required line is: $\mathbf{y=\frac{2}{3}(x)-6}$

Step-by-step explanation:

We need to write equation in slope-intercept form to represent the line on the graph.

The general equation in slope-intercept form is: $y=mx+b$

Where m is slope and b is y-intercept

Finding slope using formula: $Slope=\frac{y_2-y_1}{x_2-x_1}\\$

Looking at he graph we have

$x_1=3, y_1=-4, x_2=6, y_2=-2$

Putting values in formula and finding slope:

$Slope=\frac{-2-(-4)}{6-3}\\\\Slope=\frac{-2+4}{3}\\Slope=\frac{2}{3}$

So, we get slope m = 2/3

Using slope m=2/3 and point (3,-4) we can find y-intercept

$y=mx+b\\\\-4=\frac{2}{3}( 3)+b\\-4=2+b\\b=-4-2\\b=-6$

So, y-intercept b = -6

The equation of line having m=2/3 and b=-6 will be:

$y=mx+b\\y=\frac{2}{3}(x)-6$

The equation in slope-intercept form of required line is: $\mathbf{y=\frac{2}{3}(x)-6}$

7 0

3 years ago

Write two integers whose products is negative?

yKpoI14uk [10]

Answer:

Any negative integer and any positive integer.

Like -5 and 3.

Step-by-step explanation:

In multiplication, a positive number and a negative number will result in a negative product.

So, you can use any positive integer and multiply it by any negative integer to get a negative product.

Using the integers I gave:

$-5*3 = -15$

Brainilest Appreciated.

8 0

3 years ago

Which of the following is equivalent to the expression below?

Mashcka [7]

$\sqrt{-98} = \sqrt{(-49 x 2)} = \sqrt{-49} \times sqrt{2} = 7i\sqrt{2}$

7 0

3 years ago

The Cosmic Pool company is building a pool in Mary’s back yard. The pool is to be 8ft longer than it is wide and cover 240 squar

Aneli [31]

Answer:

The correct answer is C.

Step-by-step explanation:

Since the Cosmic Pool company's pool's length is 8ft longer than the width, you can immediately rule out choices A and B, since their widths are greater than their lengths by 8, and not vice versa. This leaves choices C and D. The perimeter of a quadrilateral's formula is $2(l+w)$ , which means the length plus the width and multiplied by 2. Using this formula, you can infer that the perimeter is $2(20+12)$ = $2*32$ = 64ft, so choice C is the correct answer.