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earnstyle [38]
3 years ago
9

Solve without using a calculator: sin²20° + sec²20°

Mathematics
1 answer:
PolarNik [594]3 years ago
7 0

Step-by-step explanation:

sin

2

(

20

°

)

+

sec

2

(

20

°

)

Simplify each term.

Tap for fewer steps...

Rewrite

sec

(

20

°

)

in terms of sines and cosines.

sin

2

(

20

°

)

+

(

1

cos

(

20

°

)

)

2

Apply the product rule to

1

cos

(

20

°

)

.

sin

2

(

20

°

)

+

1

2

cos

2

(

20

°

)

One to any power is one.

sin

2

(

20

°

)

+

1

cos

2

(

20

°

)

Simplify each term.

Tap for fewer steps...

Rewrite

1

as

1

2

.

sin

2

(

20

°

)

+

1

2

cos

2

(

20

°

)

Rewrite

1

2

cos

2

(

20

°

)

as

(

1

cos

(

20

°

)

)

2

.

sin

2

(

20

°

)

+

(

1

cos

(

20

°

)

)

2

Convert from

1

cos

(

20

°

)

to

sec

(

20

°

)

.

sin

2

(

20

°

)

+

sec

2

(

20

°

)

The result can be shown in multiple forms.

Exact Form:

sin

2

(

20

°

)

+

sec

2

(

20

°

)

Decimal Form:

1.24945210

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Setler [38]

Answer:

Let's define the variable x as the number of apples in each bag.

We know that she bought 4 bags, then the total number of apples that she has is:

Apples = 4*x

Now she eats one apple for each bag, then she eats 4 apples, so she now has:

Apples = 4*x - 4

And we know that this is equal to 28, then:

4*x - 4 = 28

now we can solve this for x.

4*x = 28 + 4 = 32

x = 32/4 = 8

x = 8

There are 8 apples in each bag.

For the diagram part, by a small online search y found the image that you can see below.

The diagram that correctly represents this situation is diagram C, where x represents the number of apples in each bag.

3 0
3 years ago
If a translation of T2, –7(x, y) is applied to ΔABC, what are the coordinates of B'?
NikAS [45]

The coordinates of B' are 3 and -12. so option D is correct (3, -12)

<h3>How to find the coordinates of B'?</h3>

The point P(x, y) may undergo translation to form P' by using a defined translation rule :

If given the rule T(a, b) synch that P undergoes translation on T; then we will have P'(x+a; y+b)

Therefore,

The point B has its coordinates as B(1, - 5)

Translation rule, T(2, - 7) then the coordination of B after undergoing transformation according to T2;

B(1, - 5) - - - > T(2, - 7) - - - - > B'(1+2 ; - 5+-7)

= B'(3, -12)

Hence, the coordinates of B' are 3 and -12. so option D is correct.

Learn more about the concept :

brainly.com/question/12463306

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8 0
2 years ago
Michael deposits $875 in a savings account that pays 4.5% interest. How much money does he earn at the end of 18 months?
Genrish500 [490]

Answer:

I think the answer to this question is 3,500 I'm sorry if I'm wrong.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Tennis balls: Must rebound approximately 111 cm when dropped from 200 cm. Soccer balls: Must rebound approximately 120 cm when d
Bas_tet [7]

Answer:

There is no basis for comparison because the effect of the other variables that are not being studied are not minimized

Step-by-step explanation:

The rate at which each type of ball bounce are;

Tennis balls;

The height to which the ball is must rebounds ≈ 111 cm

The height from which the ball is dropped = 200 cm

Surface = Steel plate

Basketballs;

The height to which the ball must rebounds ≈ 5.35 inches

The height from which the ball is dropped = 72 inches

Surface = Wooden floor

Squash balls

The height to which the ball must rebounds ≈ 29.5 inches

The height from which the ball is dropped = 100 inches

Steel plate at 70°

Therefore, given that the experimental are performed with different variables of height from which each type of ball is dropped, the surface to which the ball is dropped, the angle of the surface to which the ball is dropped, there is no controlled variable to provide a basis for comparison

5 0
3 years ago
5/3÷7=_____<br>Answer in a fraction form<br><br>PLZ HELP ​
vfiekz [6]

Answer:

5/21

Step-by-step explanation:

5/3/7=?

so 5/3 *1/7=5/21

so 5/21 is your answer

8 0
3 years ago
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