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egoroff_w [7]
3 years ago
11

Rewrite the expression as an equivalent expression that does not contain powers of trigonometric functions greater than 1.

Mathematics
1 answer:
Gnesinka [82]3 years ago
6 0
Cos^4(x) = 
(cos²x)² = 
(1-sen²x)² = 
1² - 2*1*sen²x + sen^4x = 
1 - 2sen²x + sen^4x
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Ten times the sum of half a number and 6 is 8
KATRIN_1 [288]

Even though we don't know the number yet, we need to give it some kind of label
so that we can work with it.  We can call it anything.  I'd like to call it ' G '.

The number we're looking for is ' G '.

Half of it is  1/2 G

The sum of that and 6 is          1/2 G + 6

Ten times that is              10 (1/2 G + 6)

The question says that's 8.
                                        So       10 (1/2 G + 6) = 8

Divide each side by  10 :                1/2 G + 6  =  0.8

Subtract  6  from each side:            1/2 G  =  - 5.2

Multiply each side by  2 :                        G  =  - 10.4

That seems like a weird answer.  We should check it.

The number:                                         -10.4
Half the number:                                   - 5.2
The sum of half the number and 6:      -5.2 + 6 = +0.8
Ten times that sum:                                                  8

Yep !  By golly, sho nuff, dV-dT and E to the X !  
Everything checks out, and the mystery number is      - 10.4

5 0
3 years ago
Can someone help me.
Sauron [17]

Answer:

The answer to your question is: 20°

Step-by-step explanation:

Data

m∠XZY = 40

m∠XZB = 20

Process

1.- Find the measure of ∠ XAB

   ∠XAB = 40°   because AB ║ YZ

2.- Find the measure of ∠ZAB

     ∠ZAB + ∠XAB = 180

    ∠ZAB = 180 - ∠XAB

    ∠ZAB = 180 - 40

    ∠ZAB = 140°

3.- Find the measure of ∠ABZ

    The sum of the internal angles in a triangle equals 180°

     ∠AZB + ∠ZAB + ∠ABZ = 180

     20° + 140° + ∠ABZ = 180

     ∠ABZ = 180 - 20 - 140

    ∠ABZ = 20°

7 0
3 years ago
HELP!!! giving brainliest
Stolb23 [73]

4cm = 5km

5/4 = 1.25

1cm = 1.25km

5 × 1.25 = 6.25

<em>6.25km</em>

Hope this helps! :)

3 0
4 years ago
The probability that an event will occur is 2/3. which one of these best describes the likelihood of the event occurring?
Andrej [43]

Answer:

Step-by-step explanation:

Alright, lets get started.

The probability that an event will occur is 2/3.

Means out of 3 times, 2 times that event will occur.

Please refer the pie chart for this, blue is the color which represents event to be occur and orange is not to be occur.

We can see, blue part is much more than orange part.

means the likelihood of event occuring is LIKELY.   :  Answer

Hope it will help :)


4 0
3 years ago
Mona stopped at a gas station where the price per gallon was $2.80. She spent $14 to fill up her car. What equation would repres
alina1380 [7]

Answer:

A.) 5 x 2.80 B.) 100

Step-by-step explanation:

14/2.80=5 which is how many gallons

5 x 20 = 100 for the miles

8 0
3 years ago
Read 2 more answers
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