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Olenka [21]
3 years ago
12

NEED THE ANSWER ASAP PLEASE

Mathematics
1 answer:
maks197457 [2]3 years ago
3 0

Answer:

x=8V5

Step-by-step explanation:

x^2=20*16

x=V16*V20=4V20=4V4*5=4*V4*V5=8V5

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There are 273 students in the 7th grade. If the
Elanso [62]

Answer:

Each teacher will have 21 students

Step-by-step explanation:

273 divded by 21 = 21

4 0
3 years ago
Read 2 more answers
Root 3 cosec140° - sec140°=4<br>prove that<br><br>​
Lorico [155]

Answer:

Step-by-step explanation:

We are to show that \sqrt{3} cosec140^{0} - sec140^{0} = 4\\

<u>Proof:</u>

From trigonometry identity;

cosec \theta = \frac{1}{sin\theta} \\sec\theta = \frac{1}{cos\theta}

\sqrt{3} cosec140^{0} - sec140^{0} \\= \frac{\sqrt{3} }{sin140} - \frac{1}{cos140} \\= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\

From trigonometry, 2sinAcosA = Sin2A

= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\\\=  \frac{\sqrt{3}cos140-sin140 }{sin280/2}\\=  \frac{4(\sqrt{3}/2cos140-1/2sin140) }{2sin280}\\\\= \frac{4(\sqrt{3}/2cos140-1/2sin140) }{sin280}\\since sin420 = \sqrt{3}/2 \ and \ cos420 = 1/2  \\ then\\\frac{4(sin420cos140-cos420sin140) }{sin280}

Also note that sin(B-C) = sinBcosC - cosBsinC

sin420cos140 - cos420sin140 = sin(420-140)

The resulting equation becomes;

\frac{4(sin(420-140)) }{sin280}

= \frac{4sin280}{sin280}\\ = 4 \ Proved!

3 0
3 years ago
Identify the TRUE statement relating to a property of the function y = sin x
svlad2 [7]

The true statement relating to a property of the function y =sin x is that the maximum and minimum values of the function are 1 and -1 respectively. Option B

<h3>Properties of the function</h3>

The following are the properties of the sin trigonometric ratio of the function;

  • The sine graph rises till +1 and then falls back till -1 from where it rises again.
  • The function y = sin x is an odd function
  • The domain of y = sin x is the set of all real numbers
  • The range of sine function is the closed interval [-1, 1]
  • The amplitude of the function is half its range value
  • One cycle of the function is 6. 28

From the above listed deductions, we can see that the true statement about the function y = sin x is that the range which is always known as the maximum and minimum values of the function are 1 and - 1 respectively.

Thus, the true statement relating to a property of the function y =sin x is that the maximum and minimum values of the function are 1 and -1 respectively. Option B

Learn more about the sine function here:

brainly.com/question/9565966

#SPJ1

6 0
2 years ago
Ariana bought 5 dozen pears at $36 per dozen . She discovered that 7 were rotten and she sold the rest at $4.50 each . Calculate
GrogVix [38]

Step-by-step explanation:

1 dozen = 12 pears

12 pears = $36

1 pear = 36/12 = $3

Total Cost of Pears = No. of pears x price of 1 pear

= (5x12) x 3

= 60 x 3

= $180

Sale of Pears = Price per pear x (Total Pears bought - Rotten Pears)

= $4.50 x (5x12-7)

= $4.50 x 53

= $238.50

Profit/Loss = Sale of Pears - Total Cost of Pears

= $238.50 - $180

= $58.50

Ariana made a profit of $58.50.

5 0
3 years ago
Read 2 more answers
Simplify the expression below. Show your Work.
lord [1]

Answer:

7y + 24

Step-by-step explanation:

Think of the negative sign to the left of the parentheses as being -1. Then apply the distributive property. The effect of a negative sign to the left of parentheses or a 1 to the left of parentheses is that each term inside the parentheses changes sign.

-(-7y - 24) = -1(-7y - 24) = (-1)(-7y) - (-1)(24) = 7y - (-24) = 7y + 24

8 0
3 years ago
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