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3 years ago

Using the inverse trig functions, find the measure of angle A to the nearest degree.

Mathematics

1 answer:

TEA [102]3 years ago

6 0

1. 37 degree. A triangle has 180 there is a right angle 90 and then c is 53 which leaves 37 for a

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How many roots does this has?<br>x^2+(2√5x)+2x=-10<br>find Discriminant

Alexxandr [17]

Given:

The equation is

$x^2+(2\sqrt{5})+2x=-10$

To find:

The number of roots and discriminant of the given equation.

Solution:

We have,

$x^2+(2\sqrt{5})x+2x=-10$

The highest degree of given equation is 2. So, the number of roots is also 2.

It can be written as

$x^2+(2\sqrt{5}+2)x+10=0$

Here, $a=1, b=(2\sqrt{5}+2), c=10$ .

Discriminant of the given equation is

$D=b^2-4ac$

$D=(2\sqrt{5}+2)^2-4(1)(10)$

$D=20+8\sqrt{5}+4-40$

$D=8\sqrt{5}-16$

$D\approx 1.89>0$

Since discriminant is $8\sqrt{5}-16\approx 1.89$ , which is greater than 0, therefore, the given equation has two distinct real roots.

3 0

3 years ago

1 What is the value of x in the equation 8x - 5(x - 1) = 20?

fiasKO [112]

Answer:

x = 5

Step-by-step explanation:

1. Expand

8x - 5x + 5 = 20

2. Simplify

3x + 5 = 20

3. Subtract 5 from both sides

3x = 20 - 5

4. Simplify

3x = 15

5. Divide both sides by 3

x = 15/3

6. Simplify

x = 5

8 0

3 years ago

There are 740 tickets purchased for a Major League Baseball game. The lower reserved tickets cost $9.50 and the upper reserve co

artcher [175]

375 lower reserved tickets were purchased and 365 upper reserved tickets were purchased

Step-by-step explanation:

Let x be the number lower reserved tickets

and

y be the number of upper reserved tickets

Then according to given statements

$x+y = 740\ \ \ \ Eqn\ 1\\9.50x+8y = 6482.50\ \ \ \ Eqn\ 2$

From equation 1:

$x = 740-y$

Putting in equation 2

$9.5(740-y)+8y = 6482.50\\7030-9.5y+8y = 6482.50\\7030-1.5y = 6482.50$

Subtracting 7030 from both sides

$7030-7030-1.5y = 6482.50-7030\\-1.5y=-547.5$

Dividing both sides by -1.5

$\frac{-1.5y}{-1.5} = \frac{-547.5}{-1.5}\\y = 365$

Putting y = 365 in equation 1

$x+365 = 740\\x = 740 - 365\\x = 375$

Hence,

375 lower reserved tickets were purchased and 365 upper reserved tickets were purchased

Keywords: Linear equations, Variables

Learn more about linear equations at:

#LearnwithBrainly

3 0

3 years ago

Write an equation in slope-intercept form for the line that is parallel to y=−4x−3 and that passes through the point (−2,4).

kirill115 [55]

Answer:

The Correct option is Last one $y=-4x-4$

Therefore, equation of the line in slope-intercept that passes through (-2,4) and is parallel to the line $y=-4x-3$ is $y=-4x-4$

Step-by-step explanation:

Given:

$y=-4x-3$

To Find:

Equation of line passing through ( -2, 4) and is parallel to the line y=-4x-3

Solution:

$y=-4x-3$ ..........Given

Comparing with Slope-Intercept form,

$y=mx+c$

Where m =slope

We get

$Slope = m = -4$

We know that parallel lines have Equal slopes.

Therefore the slope of the required line passing through (-2 , 4) will also have the slope = m = -4.

Now the equation of line in slope point form given by

$(y-y_{1})=m(x-x_{1})$

Substituting the points and so we will get the required equation of the line,

$(y-4))=-4(x-(-2))=-4x-8\\\\y=-4x-8+4=-4x-4\\\\y=-4x-4......Equation\ of\ line$

Therefore, equation of the line in slope-intercept that passes through (-2,4) and is parallel to the line $y=-4x-3$ is $y=-4x-4$

8 0

3 years ago

Find the exact value of sin A in simplesr radical form

lawyer [7]

Answer:

yes yes yessssssssssssss

Step-by-step explanation:

6 0

3 years ago