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NikAS [45]
3 years ago
12

Solve for x. Round to the nearest tenth of a degree, if necessary.

Mathematics
2 answers:
monitta3 years ago
8 0

Answer:

  • 49.6°

Step-by-step explanation:

  • tangent = opposite / adjacent
  • tan x = 40/34
  • x = arctan (40/34)
  • x ≈ 49.6°
mariarad [96]3 years ago
8 0

<h3>\rm \color{fuchsia}{Answer:}</h3>

  • 49. 6°

Step-by-step explanation:

\rm{tangent \:  =  \: opposite \:/ adjacent} \\    \rm{tan \: x \:  =  \: 40 \:/ 34} \\  \rm \: x \:  = arctan \: (40 \:/ 34) \\  \:  \rm {x \:  =  \boxed{49. \: 60°}}

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Lemonade is made by mixing lemon juice and water in the ratio of 2 to 3. How many glasses of lemon juice and water are needed to
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The correct answer is Choice C.

The ratio given is 2 to 3. All of the choices give the total of 15 glass as needed. However, only choice C is also in the ratio of 2 to 3.

6/9 can be reduced to the fraction 2/3 by dividing by 3.
6 0
3 years ago
the scale of a scientific drawing is 1 cm = 2in. If the actual length of an object in the drawing was 4.5 inches, how long would
Citrus2011 [14]

Answer:  2.25

Step-by-step explanation:

1 cm/ 2 in = x/ 4.5 in

2x = 4.5 in

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6 0
3 years ago
The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat. The cost of cultivating corn and wheat (includin
babunello [35]

Answer:

He should plant 100 acres of corn and 400 acres of wheat.

Step-by-step explanation:

This problem can be solved by a siple system of equations.

]x denotes the number of acres of corn

y denotes the number of acres of wheat

Building the system:

The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat. This means that:

x + y = 500

The cost of cultivating corn and wheat (including seeds and labor) is $42 and $30 per acre, respectively. Jacob Johnson has $16,200 available for cultivating these crops. This means that:

42x + 30y = 16,200

So, we have the following system

1) x + y = 500

2) 42x + 30y = 16,200

If he wishes to use all the allotted land and his entire budget for cultivating these two crops, how many acres of each crop should he plant?

1) x + y = 500

2) 42x + 30y = 16,200

I am going to write y as a function of x in 1), and replace in 2). So:

x + y = 500 means that y = 500-x

42x + 30y = 16,200

42x + 30(500-x) = 16,200

42x + 15000 - 30x = 16,200

12x = 1,200

x = \frac{1,200}{12}

x = 100

Now, going back to 1:

y = 500 - x = 500 - 100 = 400

He should plant 100 acres of corn and 400 acres of wheat.

5 0
3 years ago
What is the 3 digit number of the ones period in 288,322,170
AnnZ [28]

Answer:

170

The ones period consists of the ones, tens, and hundreds digits.

6 0
3 years ago
Let R1 and R2 are the remainders when the polynomials x^3 + 2x^2 − 5ax − 7 and x^3 + ax^2 − 12x + 6 are divided by x + 1 and x −
Andru [333]

Answer:

2.44

Step-by-step explanation:

Given: x³ + 2x² - 5ax - 7      and  x³ + ax² - 12x + 6

Also, R1 + R2 = 6

in order to find the value of a:

Let p(x) = x³ + 2x² - 5ax - 7 and q(x) = x³ + ax² - 12x + 6

Using remainder theorem i.e if a polynomial p(x) is divisible by polynomial of form x - a then remainder is given by p(a).

Then,

R1 = p( -1 ) = (-1)³ + 2(-1)² - 5a(-1) - 7 = -1 + 2 + 5a - 7 = 5a - 6

R2 = q( 2 ) = 2³ + a(2)² - 12(2) + 6 = 8 + 4a - 24 + 6 = 4a - 10

Now,

R1 + R2 = 6

5a - 6 + 4a - 10 = 6

9a = 22

a=2.44

Therefore, Value of a is 2.44

7 0
3 years ago
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