Scientists notice two asteroids moving directly toward each other. Right now, they are 20 million kilometers apart, but they are on a collision course. The graph represents their paths and likely collision point, with the origin representing the initial position of asteroid A.
What is the point of intersection of the two lines, and what do the x- and y-values of the point of intersection mean?

9514 1404 393

Answer:

  a = 108°

  b = 24°

Step-by-step explanation:

a) The pentagon will have interior angles of 540°/5 = 108°.

 Angle a = 108°

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b) The reflex angle at a vertex of the pentagon is 360° -108° = 252°. At the obtuse angle of the unshaded triangle, 120° of that amount is take up by two internal angles of the equilateral triangles. Those are 60° each. So, the obtuse angle in the unshaded triangle is ...

  252° -120° = 132°

That triangle is isosceles, so the angle at b is ...

  2b° +132° = 180°

  b = (180 -132)/2 = 48/2 = 24

  Angle b = 24°

Answer:

a = 108 °

b = 24°

Step-by-step explanation:

Answer:

The missing angle to this triangle is 55 degrees, x is 14.65, and the other missing length is 8.4.

Step-by-step explanation:

In a triangle, all of the angles sum up to 180 degrees. We are given it is a right triangle with another given angle of 35 degrees. 180 degrees - 90 degrees - 35 degress is 55 degrees. Now, we can use law of sines to find x. x / sin 90 degrees = 12 / sin 55 degrees. sin 90 degrees can be simplified to 1. x = 12 / sin 55 degrees. x = 14.65. By using the pythagorean theorem, we can find the last missing side, which is 8.4.

Answer:

The other 2 angles are 28 and 62 degrees.

Step-by-step explanation:

The sum of all the angles of a triangle is always equal to 180 degrees.

If two angles are known the third can be found out.

A right angled triangle always has an angle equal to 90 degrees.

If the base is 15 and the perpendicular is 8 and the hypotenuse is 17

then

Tan theta= Perpendicular/base

Tan theta= 8/15

theta = tan⁻¹ 8/15

theta = 28.072

The third angle is 28 degrees which is less than 90 degrees and is acute

This can also be obtained by

cos theta= base / hypotenuse

cos theta= 15/17

theta= cos⁻¹  15/17

theta= 28.072

Now summing up

90+ 28 + x= 180

x= 180-118

x= 62

The third angle is 62 degrees which is also less than 90 degrees.

Answer:

36 problems correctly

Step-by-step explanation:

48*.75

Answer:

36

Step-by-step explanation:

Answer:

x = 11

Step-by-step explanation:

If the teacher isn't putting the names back in the hat then it would be 1/21 if she is then 1/23

(PS. I used to HATE i-ready)

Answer:

It would be:

[tex]2.11 \times {10}^{8} [/tex]

Step-by-step explanation:

You just subtract the regular numbers so 4.31-2.2 and keep the same scientific notation.

Answer:

B (or top right)

Step-by-step explanation:

The equation is written using the y = mx + b format.

m = slope

b = y-intercept

Answer:

A

Step-by-step explanation:

The transformation, the value of the table is B (-5,3) B 2.

We have given that,

Rectangle ABCD is translated (x + 2 y - 3) and then rotated 180° about the origin.

We have to complete the table to show the locations of A'. B', C', and D'  after both transformations.

A transformation is a function f, usually with some geometrical that maps a set X to itself, and f: X → X.

Therefore after the transformation, the value of the table is

B (-5,3) B 2.

To learn more about the transformation visit:

https://brainly.com/question/4289712

#SPJ5

Answer:

1.3

Step-by-step explanation:

when you divide figure 2 by figure 1 you get 1.3

Answer:

x= -63 y= -117

Step-by-step explanation:

72+10(2x+9)=36

72+20x+90=36

162+20x=36

20x=-126

×= -63

y= 2(-63)+9

y=-126+9

y= -117

Answer:

The minimum value is 2.8.  The vertex is (-7, 2.8).

Step-by-step explanation:

Through the x^2 term we identify this as a quadratic function whose graph opens up.  The minimum value of this function occurs at the vertex (h, k).  The x-coordinate of the vertex is

        -b                                                    11.2

x = ---------             which here is x = - ------------ = -7

         2a                                                 2(0.8)

We need to calculate the y value of this function at x = -7.  This y-value will be the desired minimum value of the function.

Substituting -7 for x in the function f(x) = 0.8x^2 + 11.2x + 42 yields

f(-7) = 0.8(-7)^2 + 11.2(-7) + 42 = 2.8

The minimum value is 2.8.  The vertex is (-7, 2.8).

Answer:

10.19 cubic yards

Step-by-step explanation:

8*4=32

32 divided by 3.14= 10.19

Answer:

Fern will knit 32 scarves in 8 nights.

Step-by-step explanation:

Number of scarves knitted by Fern in 5 night = 20

Relation between number of scarves knitted and number of nights is proportional,

Therefore, Number of scarves knitted (s) ∝ Number of nights spent to knit the scarves (n)

s ∝ n

s = kn

k = [tex]\frac{s}{n}[/tex]

Here, k = proportionality constant

For s = 20 and n = 5,

k = [tex]\frac{20}{5}[/tex]

k = 4 scarves per night

For 8 nights, by using the same proportionality rule,

k = [tex]\frac{s}{8}[/tex]

4 = [tex]\frac{s}{8}[/tex]

s = 32 scarves

Therefore, Fern will knit 32 scarves in 8 nights.

Answer: JUST DO IT!

Step-by-step explanation:

Answer:

A, f = 4

Step-by-step explanation:

f + 8 ≤ 12

-8       -8

f ≤ 4

Answer:

The answer is 4

Step-by-step explanation:

this is because the line under the greater than symbol can also mean equal since it has a line under it 8 + 4 = 12 = 12

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Explanation:

There are 12 sections total. It might help to picture the circle split into quarters, and then each quarter is split into three pieces, giving 4*3 = 12 slices total. Or it might help to think of numbers on a round clock face.

Of these 12 sections, we have the value "1" show up exactly 4 times. That means the other values show up 12-4 = 8 times. The probability of not landing on "1" is therefore 8/12 = 2/3.

Side note: Divide both parts of 8/12 by the GCF 4 to reduce the fraction.

Answer:

c

Step-by-step explanation:

Answer:

84 ft^2

Step-by-step explanation:

Rectangle 1: Area = l x w = 3x6=16

Rectangle 2: 4x6= 24

Rectangle 3: 5x6=30

Triangle 1: A = 1/2 b x h = 1/2 x 4 x 3 = 6

Triangle 2: 1/2 x 4 x 3 = 6

Total = 16+24+30+6+6 = 84

Answer:

|-5| > |3|

because the absolute value of -5 is five which is greater than 3

Answer:

C) 12.4 ft

Step-by-step explanation:

using the Pythagorean theorem:

Length² = 13² - 4² = 156 - 16 = 143

length = √143 = 12.36 ft

Answer:

Step-by-step explanation:

173-10+3(25+1)=241

238-9=229

238-7=231

118-7=111

118-9=109

Answer:

80 minutes (first one)

Step-by-step explanation:

1/6 of an hour=10 min

3 ppl can go on the ride at the same time

so 24/3=8

leaving 8 more turns before emma's turn

8x10=10

Answer: A≈12.57mi²

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Solving with formula of area of circle,B is the correct answer of this question.

Answer:

The answer is -0.7

Step-by-step explanation:

is the right answer

Answer:

-0.7

Step-by-step explanation:

Multiply-

Or use a calculator-

[tex]5 \times 10 + \frac{7 + 10}{2} \times 4 = 50 + 17 \times 2 = 50 + 34 = 84[/tex]

Answer:

i believe the area is 92

Step-by-step explanation: