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Novay_Z [31]
2 years ago
15

(a) If cos² (34°) - sin² (34°) = cos(A°),then A = degree’s

Mathematics
1 answer:
krok68 [10]2 years ago
3 0

~~~~~~~\cos^2 \left(34^{\circ}\right) - \sin^2 \left( 34^{\circ} \right)=\cos A\\\\\implies \cos \left( 2 \cdot 34^{\circ} \right) = \cos A~~~~~~~~~~~~~;[\cos 2x = \cos^2 x -\sin^2 x]\\\\\implies \cos \left(68^{\circ}\right) = \cos A\\\\\implies A = 68^{\circ}

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Helpppppppppppppppppppppppppppppp
Marta_Voda [28]

Answer:

1) 90%

2)40%

3)75%

Step-by-step explanation:

the space between 2 lines are considered 10%. so let's take the first one for instance

1) as I said before, the space between 2 lines are considered 10%. So what you are going to use is the 10 times table (it will be a really helpful thing if you know all of the time table from 1 - 10) now what you do is count all the way from 0 till the blue thing ends. but If blue thing ends in the middle like in the picture number 3 then it's considered 5% since it's only halfway

I hope it was hopeful and that you understood

8 0
4 years ago
how many pounds of candy worth $12 per pound should be mixed with candy costing $19 per pound to produce a 70 pound mixture that
sweet-ann [11.9K]

Answer:

40 pounds

Step-by-step explanation:

Given: Cost of a candy (c_1)= \$ 12 per pound

           Cost of candy (c_2) = \$ 19\ per\ pound

           Total amount of mixture of be produced = 70\ pound

           Selling price of mixture = \$ 15 \ per\ pound

Let´s x be the amount of c_1 to be mixed in the mixture.

∴ Cost of c_1 in the mixture = 12x

Next, Cost of c_2 in the mixture = (70 - x)\times 19

And we know the cost of final mixture = 70 \times 15 = 1050

Now, putting all the value in the equation

⇒ 12x + 19 \times (70 - x) = 1050

⇒ 1330 - 7x = 1050

⇒ -7x = -280

∴ x = 40\ pound

∴ 40 pounds of candy worth $12 per pound to be mixed in the mixture.

6 0
3 years ago
Which of the following must describe a irrational number? A. a number with a repeating or terminating decimal expansion B. a num
Olenka [21]

Answer:

D.

Step-by-step explanation:

A irrational number can be defined as those numbers which are real but can NOT be expressed in simple fractions. The term 'irrational' means 'a number which can not be expressed in ratio of two integers', 'no ratio.'

<u>When a irrational number is expressed in decimal, the numbers keep on expanding without repeating andd without terminating, which means it keeps on expanding infinitely.</u>

For example, π (pi) is an irrational number. When it is expressed in decimals it keeps on expanding non-repeatedly and unendingly.

Another example of an irrational number is √2.

Thus the correct statement that defines irrational number is option D.

5 0
3 years ago
Yo can someone help me out
Sidana [21]

Answer:

A

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
1. If a bicycle wheel has a diameter of 15 in. How far will the wheel rotate in 10 rotations?​
WARRIOR [948]

Answer:

150 pi inches or 471.239 inches traveled

Step-by-step explanation:

First, close your eyes, and think about the distance a bike travels after one rotation of the wheel.

You will come to the realization that a full rotation of the wheel makes you travel the circumference of the wheel

The formula for circumference is 2(pi)(r) or (pi)(diameter)

We are given diameter, so let's find distance traveled for one rotation

pi(15 inches) = 15pi inches per rotation.

There are 10 rotations, so:

(15pi inches/rotation)(10 rotations) = 150pi inches travelled

150 x pi = 471.239 inches traveled

4 0
3 years ago
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