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aleksklad [387]
3 years ago
15

Find the value of x

Mathematics
1 answer:
Hunter-Best [27]3 years ago
6 0

Answer:

35.8 deg

Step-by-step explanation:

a/sin A = b/sin B

24/sin x = 39/sin 71.8

sin x = (24 * sin 71.8)/39

sin x = 0.584598

x = sin^-1 0.584598

x = 35.8 deg

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2<br> 8<br> 15<br> 8. An interior designer charges customers<br> an initial consultation fee plus an hourly rate.<br> The table
Wewaii [24]

The rate of change is $55 per hour. The means that the hourly rate of the designer is $55 per hour

<h3>Linear equation</h3>

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope of the line and m is the y intercept.

Let y represent the total cost of hiring for x hours. Hence:

  • Using the points (0, 125) and (15, 950)

Slope = \frac{y_2-y_1}{x_2-x_1} =\frac{950-125}{15-0} =55

The rate of change is $55 per hour. The means that the hourly rate of the designer is $55 per hour

Find out more on linear equation at: brainly.com/question/14323743

7 0
2 years ago
How long will it take for an investment to triple if it is compounded continuously at 12%
myrzilka [38]

Answer:

9.694 years

Step-by-step explanation:

Let the investment is $P.

So, we are asked to determine the time it will grow to triple with the compound interest rate of 12%.

Let the time is y years.

So, from the formula of compound interest we can write

3P = P(1 + \frac{12}{100} )^{y}

⇒ (1 + \frac{12}{100} )^{y} = 3

⇒ (1.12)^{y} = 3

Now, taking log both sides we get,

y log 1.12 = log 3 {Since, \log a^{b} = b \log a }

⇒ 0.04922y = 0.477712

⇒ y = 9.694 years (Answer)

3 0
2 years ago
(2x+3)²=5.find the roots of the equation ​
bija089 [108]

Answer:

-2.61803398875, -0.38196601125

or

(-3±√5)/2

Step-by-step explanation:

First, expand. (2x+3)² = 4x²+12x+9=5

4x²+12x+4 = 0

Quadratic equations take the form ax²+bx+c = 0

In this case,

a = 4

b = 12

c = 4

You can solve with the equation x=(-b±√b²-4ac)/2a

Plug in:

(-12±√144-64)/8

(-12±√80)/8

(-12±√2^4×5)/8

(-12±4√5)/8

(-3±√5)/2

Final answer x = (-3±√5)/2

If you want decimal form: -2.61803398875, -0.38196601125

4 0
2 years ago
When is the constant of proportionality the same as the unit rate when comparing two quantities?
Stels [109]

Answer: C

Step-by-step explanation: They are never the same

4 0
2 years ago
Which expression can be used to determine 50% of 42?
snow_lady [41]

Answer: 42 divided by 2

Step-by-step explanation: 50% is one half, and 42/2 is one half of 42.

4 0
3 years ago
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