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Oxana [17]
3 years ago
5

Solve for the missing angle ∡&. One point for your equation and one point for the correct angle measure.

Mathematics
1 answer:
love history [14]3 years ago
8 0
Hello.

1. Understand that this requires inverse trigonometry.
2. For A, we can use sin^-1 if we want (we could use cos^-1 or tan^-1 as well because all sides are given)
Definition of sin^-1 with how it is derived
sin(theta) = O/H <—> sin^-1(O/H)
Angle A: (When calculating an angle, ensure that your calculation is in degree mode instead of radian mode.) 2ND, then QUIT on TI

sin^-1(7/25) = 16.26020471°
(round as needed)

Angle &: (also in degree mode)

All angles of a triangle add to 180°.
1. 180° - (angle B + Angle A) = Angle &
2. 180° - (90° + 16.26020471°) = 73.73979529°
(round as needed)

To quickly check: 16° + 90° + 73° = 180°, as expected for a triangle

From the picture you provided,

The angle values make sense because that triangle represents a 30-60-90 degree triangle. (Also, a good trick is to know that the smallest angle of a triangle will always have the smallest side value, and the largest angle has the largest side value.)
Unless we have an equilateral triangle!

Good luck to you!



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Write the equation of the parabola in vertex form.<br><br><br>Vertex: (−4,6); Point: (−2,−2)
gtnhenbr [62]

Answer:

y = - 2(x + 4)² + 6

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (- 4, 6 ) , thus

y = a(x - (- 4) )² + 6 , that is

y = a(x + 4)² + 6

To find a substitute (- 2, - 2) into the equation

- 2 = a(- 2 + 4)² + 6 ( subtract 6 from both sides )

- 8 = a(2)² = 4a ( divide both sides by 4 )

- 2 = a , thus

y = - 2(x + 4)² + 6 ← equation in vertex form

5 0
3 years ago
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
liubo4ka [24]

Answer:

1) 20.9

2) 896

3) 21

Step-by-step explanation:

1) 5.6÷2^3+(12.75+7.45)

---> 12.75 + 7.45 = 20.2

5.6 ÷ 2^3 + 20.2

--> Simplify 2^3 to 8

5.6 ÷ 8 + 20.2

--> 5.6 ÷ 8 = 0.7

0.7+20.2

--> Simplify

20.9

2) 4^3 × (0.6 +3.6) ÷ 0.3

---> 0.6 + 3.6 = 4.2

4^3 * 4.2 ÷ 0.3

---> 4^3 = 64

64 * 4.2 ÷ 0.3

--> 64 * 4.2 = 268.8

268.8 ÷ 0.3

--> 268.8 ÷ 0.3 = 896

896

3) 2^4 + (2.75 +1.75) ÷ 0.9

--> 2.75 + 1.75 = 4.5

2^4 + 4.5 ÷ 0.9

--> 2^4 = 16

16 + 4.5 ÷ 0.9

--> 4.5 ÷ 0.89 = 5

16 + 5

--> Simplify

= 21

8 0
2 years ago
PLEASE HELP ME!
alexandr1967 [171]
Not sure about the question, but answer is:
3/5* 2/5 = 6/25=0.24 =24%
8 0
3 years ago
If f(x) is a fifth degree polynomial, is it possible that it has exactly 5 complex roots?
Zolol [24]

No.

A fifth degree polynomial, having a graph that increases and starts from below x-axis.

Therefore, no matter what equation it is. The fifth degree polynomial will intercept x-axis AT LEAST one.

The fifth degree polynomial can have only at maximum, 4 complex roots.

<em>You can try drawing or seeing the graph of fifth-degree polynomial function. No matter what equations, they still intercept at least one x-value.</em>

<em />

4 0
3 years ago
6 x 2/3 x 2 1/2 = what plss help
Afina-wow [57]

Answer:

10

Step-by-step explanation:

4 0
3 years ago
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