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Pachacha [2.7K]
3 years ago
7

What is the value of x?

Mathematics
2 answers:
kicyunya [14]3 years ago
5 0

Answer:

x = 5√3

Step-by-step explanation:

From SOHCAHTOA you might recall that sin x = opposite/hypotenuse

So sin 60° = x/10

sin 60° = 0.5 √3

so x = 10*0.5√3 = 5√3

Dvinal [7]3 years ago
5 0

Answer:

sin\alpha=opposite/hypotenuse\\\\sin60=\frac{x}{10}\\ \\\frac{\sqrt{3}}{2}=\frac{x}{10}\\  \\2x=10\sqrt{3}\\ \\x=\frac{10\sqrt{3}}{2}\\ \\x=5\sqrt{3}

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Equation of a line with an slope of 1/2 that contains (-4, 7)
nasty-shy [4]

Equation of a line with an slope of 1/2 that contains (-4, 7) is y=\frac{1}{2} x+9

<em><u>Solution:</u></em>

We have been given a point and slope of an equation and have been asked to write it in an equation. The two forms of writing a point and slope in equation are point slope form and standard form.

The standard form of a line is in the form Ax + By = C where A is a positive integer, and B, and C are integers. The standard form of a line is just another way of writing the equation of a line.

To write in standard form we will first write it in point slope form and then rearrange it into a standard from.

<em><u>The formula for point slope form:</u></em>

y-y_{1}=m\left(x-x_{1}\right)

where "m" is the slope of line

Given that "m" = \frac{1}{2} and (x_1, y_1) = (-4, 7)

\begin{array}{l}{y-7=\frac{1}{2}(x-(-4))} \\\\ {y-7=\frac{1}{2}(x+4)} \\\\ {y-7=\frac{1}{2} x+2} \\\\ {y=\frac{1}{2} x+9}\end{array}

Now, let us convert this equation to standard form

0.5x + 9 = y

0.5x - y = -9

Thus we have found out equation of line in point slope and standard form

3 0
4 years ago
Find the value of the expression 2x squared + 3y squared - 17 when x = 3 and y = 4
ser-zykov [4K]

Answer:

the value would be 49

7 0
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Read 2 more answers
How to multiply 6 and 4/9
Margaret [11]

Answer:

2 and 2/3

Step-by-step explanation:

To multiply fractions, all you have to do is multiply the numerators by the denominators and/or simplify opposite sides.

4/9 * 6 would be 4/9 * 6/1, which equals 4/3 * 2/1. 4*2 is 8 and 3*1 is 3, so the answer would be 8/3, which simplifies to 2 2/3.

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3 years ago
On Monday, the office staff at your school paid $8.77 for 4 cups of coffee and 7 bagels. On Wednesday, they paid $15.80 for 8 cu
polet [3.4K]
No.

The pricing is inconsistent. The double order should be double the price, $17.54. There are no prices for bagels or coffee that will match both purchases.
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3 years ago
How do you compare exponential functions??
snow_tiger [21]

Answer:

You compare it by this

Step-by-step explanation:

Linear functions are graphed as straight lines while exponential functions are curved. Linear functions are typically in the form y = mx + b, which is used to discover the slope, or simply the change in y divided by the change in x, while exponential functions are typically in the form y = (1 + r) x.

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