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ipn [44]
3 years ago
15

Please help and show work if you can​

Mathematics
1 answer:
UkoKoshka [18]3 years ago
5 0

Answer:

38. <1 = 38^{o}, <2 = 32^{o}, <3 = 110^{o}

39. <1 = 71^{o}, <2 = 28^{o}, and <3 = 81^{o}

Step-by-step explanation:

38. Sum of angles in a triangle = 180^{o}

So that;

38 + 110 + <2 = 180^{o}

148 + <2 = 180^{o}

<2 = 180^{o} - 148

<2 = 32^{o}

Thus,

<1 = 38^{o} (alternate angle principle)

<3 = 110^{o}

Therefore;

<1 = 38^{o}, <2 = 32^{o}, <3 = 110^{o}

39. <2 = 28^{o} (alternate angle principle)

So that;

sum of angles in a triangle = 180^{o}

<1 + <2 + 81 = 180^{o}

<1 + 28^{o} + 81 = 180^{o}

<1 + 109 = 180^{o}

<1 = 180^{o} - 109

   = 71^{o}

<1 = 71^{o}

<3 = 81^{o}

<1 = 71^{o}, <2 = 28^{o}, and <3 = 81^{o}

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4 0
3 years ago
Read 2 more answers
Suppose a circle with center (14,9) passes through point (16, 12). Which equation represents the circle?
kifflom [539]

Answer:

( x - 14)^2 + ( y - 9)^2 = 13

Step-by-step explanation:

The equation of the circle with a center and a point

( x - a) ^2 + ( y - b) ^2 = r^2

( 14 , 9) - center-( a, b)

a = 14

b = 9

( 16 , 12) - point - ( x, y)

x = 16

y = 12

Step 1: substitute the center into the equation

( x - 14)^2 + ( y - 9)^2 = r^2

Step 2: substitute the point into the equation

( x - 14)^2 +( y - 9)^2 = r^2

( 16 - 14)^2 + ( 12 - 9)^2 = r^2

2^2 + 3^2 = r^2

4 + 9 = r^2

13 = r^2

Step 3: subs the radius into the equation

( x - 14)^2 + ( y - 9)^2 = r^2

( x - 14)^2 + (y - 9)^2 = 13

Therefore, the equation of the circle is

( x - 14)^2 + ( y - 9)^2 = 13

8 0
3 years ago
3. A fisherman caught 6 bluegills and 4 bass. What is the ratio of the number of bass caught to the total number of fish caught?
quester [9]
The answer is 2 to 5
3 0
2 years ago
Please answer this correctly
iren2701 [21]

Answer:

10.71 yd

Step-by-step explanation:

First let's find the radius of the quarter circle.

area =\frac{1}{4} \pi {r}^{2} \\  7.065 = \frac{1}{4} *3.14 {r}^{2}  \\  \frac{7.065}{3.14}  = \frac{1}{4} * \frac{3.14 {r}^{2} }{3.14}  \\  9 =  {r}^{2}  \\  \sqrt{9}  = r \\ 3 yd= r

Now let's find the arc length of this quarter circle.

\frac{90}{360}  \times 2\pi \: r \\  \frac{1}{4}  \times 2 \times 3.14 \times 3 \\  =  \frac{9.42}{4}  \\  = 4.71yd \\

Now let's find the perimeterperimeter \\  = arc \:  \: length + radius + radius \\  = 4.71 + 3 + 3 \\  = 10.71yd

<em>hope</em><em> </em><em>this</em><em> </em><em>helps</em>

<em>brainliest</em><em> </em><em>appreciated</em>

<em>good</em><em> </em><em>luck</em><em>!</em><em> </em><em>have</em><em> </em><em>a</em><em> </em><em>nice</em><em> </em><em>day</em><em>!</em>

4 0
3 years ago
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Write the equation of a parabola whose directrix is y=9.75 and has a focus at (8, 0.25).
lana [24]

Answer:

y = (-1/19)(x - 8)² + 1521/76

Step-by-step explanation:

A parabola moves in such a way that it's distance from it's focus and directrix are always equal.

Now, we are given that directrix is y = 9.75 and focus is at (8, 0.25). Focus can be rewritten as (8, ¼) and directrix can be rewritten as y = 39/4

If we consider a point with the coordinates (x, y), it means the distance from this point to the focus is;

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Distance from that point to the directrix is; (y - 39/4)

Thus;

√((x - 8)² + (y - ¼)²) = (y - 39/4)

Taking the square of both sides gives;

((x - 8)² + (y - ¼)²) = (y - 39/4)²

(x - 8)² + y² - ½y + 1/16 = y² - (39/2)y + (39/4)²

Simplifying this gives;

(x - 8)² - (39/4)² = (½ - 39/2)y

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(x - 8)² - 1521/4 = -19y

Divide both sides by -19 to get;

y = (-1/19)(x - 8)² + 1521/76

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