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3 years ago

I will give BRAINLIEST! HELP PLEASE.!!! 2. Find each measure. m<1 m<2 m<3

Mathematics

1 answer:

fredd [130]3 years ago

5 0

<h3>Answer: Choice B</h3>

Angle 1 = 147 degrees

Angle 2 = 80 degrees

Angle 3 = 148 degrees

======================================================

Work Shown:

(angle 1) + 33 = 180

angle 1 = 180-33

angle 1 = 147 degrees

---------------

Focus on the left most triangle that has angles 33 and 47 as interior angles. The missing angle is 180-33-47 = 100 degrees

The angle exterior to this 100 degree angle is angle 2

angle 2 = 180-100 = 80

We have enough info to conclude the answer must be choice B.

---------------

Let's keep going to find angle 3

The vertical angle for the 100 degree angle is also 100 degrees. This second 100 degree angle is part of the triangle on the right

This triangle on the right has interior angles 100 and 48

The missing interior angle is 180-100-48 = 32

The angle supplementary to this is 180-32 = 148, which is angle 3.

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You are standing 45 meters from the base of the Empire State Building. You estimate that the angle of elevation to the top of th

Nastasia [14]

base, b = 45m

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total height, h = h1 + h2

using

tan (aoe) = h1/b

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2 years ago

PLEASE HELP

Sholpan [36]

1) We have that the equation is $x^2=20y$ , hence y=x^2/20. The standard equation of such an equation is y= $\frac{1}{4p} x^2$ . Hence, p=5 in this case. The focus is at (0,5) and the directrix is at y=-5 (a tip is that the directrix is always "opposite" the focus point of a parabola; if the directrix is at x=-7 for example, the focus is at (7,0)).
2) Similarly, we have that the equation is $x=3y^2 \\ \frac{1}{4p} =3$ . Thus, p=1/12. In this case, the parabola opens along the x-axis and the focus is at (1/12, 0). Also, the directrix is at x=-1/12. Hence the correct answer is B.
3) We are given that the parabola has a p of 9. Also, the focus lies along the y-axis, hence the parabola is opening along the y-axis. Finally, the focus is on the positive half, so the parabola is opening upwards. The equation for this case is y= $y=\frac{1}{4p} x^2= \frac{1}{36 } x^2$ .
4) Similarly as above. The directrix is superfluous, we only need the p-value. THe same comments about the parabola apply and if we substitute p=8 in the formula: $y= \frac{1}{4p} x^2$ we get y= $\frac{1}{32} x^2$ .
5) This is somewhat different, even though we do not need the directrix again. The focus lies on the x-axis, thus the parabola opens in this direction. The focus lies on the positive part of the axis, thus the parabola opens to the right. We also are given p=7. Hence, the equation we need is of the form $x= \frac{1}{4p} y^2$ . Substituting p=7, we get $x= \frac{1}{28} y^2$ .
6) The equation of a prabola with a vertex at (0,0) is of the form y=-ax^2. The minus sign is needed since the parabola is downwards. Since we are given anothe point, we can calculate a. We have to take y=-74 and x=14 feet (since left to right is 28, we need to take half). $-a= \frac{y}{x^2} = \frac{-74}{14^2} =-0.378$ . Thus a=0.378. Hence the correct expressions is y=-0.378* $x^2$

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2 years ago

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My metric bolt measures .780 with calipers over the threads what size is it

attashe74 [19]

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So, if your metric bolt measures 0.78 over the threads, that means that the size of the bolt is 0.78 mm in thread pitch. The attached picture shows how you measure the thread pitch.