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2 years ago

Find the missing side. Round to the nearest tenth

Mathematics

1 answer:

Ghella [55]2 years ago

6 0

Answer:

x = 12.5

Step-by-step explanation:

From the diagram,

Applying

tanФ = Opposite/Adjacent...................... Equation 1

From the diagram,

Given: Opposite = 16, Adjacent = x, Ф = 52°

Substitute these values into equation 1

tan52° = 16/x

make x the subject of the equation

x = 16/tan52°

x = 16/1.27994

x = 12.5.

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A line goes through the points (-1,9) and (1,1).Write the equation of this line in point slope form using one of these points.

Mashcka [7]

Answer:

y-9= -4(x+1)

Step-by-step explanation:

First, you should know what the format for point slope form is. y-y1=m(x-x1). Now, fill in the points to the x1 and y1 variables. It doesn't matter what ordered pair you use. If the number you fill in is negative, for example, -1, change it to a positive 1. If you're plugging in a positive number such as 9, it becomes -9. Now, it may look like this: y-9=m(x+1). However, you still need to find slope. You can use the expression y-y1/x-x1. 9-1=8. -1-1= -2. So, your slope is 8/-2. However, you can simplify this to -4. Now, plug in -4 to your equation to have your final answer: y-9=-4(x+1).

3 0

3 years ago

Which of the following has 14.705 in written form?

Bezzdna [24]

Answer:

Step-by-step explanation:

3 0

3 years ago

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hoa [83]

90 mm ..................

5 0

3 years ago

Read 2 more answers

the circular ripple caused by dropping a stone in a pond is increasing in area at a constant rate of 20 square meters per second

mojhsa [17]

Answer:

2/π ≈ 0.637 m/s

Step-by-step explanation:

The rate of change of area with respect to time is ...

A = πr²

dA/dt = 2πr·dr/dt

Filling in given values in the above equations, we can find r and dr/dt.

25π = πr² ⇒ r = 5

20 = 2π·5·dr/dt

dr/dt = 20/(10π) = 2/π . . . . meters per second

The radius is increasing at the rate of 2/π ≈ 0.637 meters per second.

4 0

3 years ago

What is the equation of the line that passes through the origin and is perpendicular to the line 4x+3y=6

frez [133]

The Equation of a Line

The slope-intercept form of a line can be written as:

y = mx + b

Where m is the slope of the graph of the line and b is the y-intercept.

In the specific case where the line passes through the origin (0,0), we can find the value of b by substituting x=0 and y=0:

0 = m(0) + b

Solving for b:

b = 0.

Thus, the equation of the line reduces to:

y = mx

We only need to find the value of the slope.

That is where we need the second data. Our line is perpendicular to the line of equation 4x + 3y = 6.

Solving for y:

$y=-\frac{4}{3}x+2$

The slope of the second line is -4/3.

We must recall that if two lines of slopes m1 and m2 are perpendicular, then:

$m_1\cdot m_2=-1$

Substituting the value of m1 and solving for m2:

$\begin{gathered} -\frac{4}{3}\cdot m_2=-1 \\ m_2=\frac{3}{4} \end{gathered}$

The slope of our line is 3/4 and the required equation is:

$y=\frac{3}{4}x$

From this last equation, we need to find the general form of the line.

Multiply both sides of the equation by 4:

4y = 3x

Subtract 3x on both sides:

4y - 3x = 0

Reorder:

-3x + 4y = 0

5 0

9 months ago