Please find the area of the figure given below

Answer:

sen 30; cos 60

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

All the angles of a triangle add up to 180

180-45-87=48

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Answer:

ordü use uuuuuv bûsh!!!!!!!!!!

4(3+14c−12d)

=(4)(3+14c+−12d)

=(4)(3)+(4)(14c)+(4)(−12d)

=12+c−2d

=c−2d+12

We are given the polynomial:

2x³ - 3x² + 4x - 1 = 0

We need to find the value of r² + s² + t² where r,s,t are the solutions.

Simplifying r² + s² + t²:

r² + s² + t² = (r + s + t)² - 2(rs + st + rt)

[since a²+b²+c² = (a+b+c)² - 2(ab + bc + ca)]

Using the Vieta's formulae:

Above, we can see that in order to find the value of r² + s² + t², we need to find the value of the sum of solutions and sum of solutions taken 2 at a time.

Sum of roots:

We know that the Vieta's formula to find the sum of roots is:

Sum of roots = [tex]-\frac{b}{a}[/tex]

Where b and a are the coefficients from the general form: ax³ + bx² + cx - d

We notice that for the given equation, b = -3 ;  a = 2

Sum of roots = [tex]-(\frac{-3}{2})[/tex]

Sum of roots = [tex]\frac{3}{2}[/tex]

Hence, the sum of roots (r + s + t) = 3/2

Sum of roots taken two at a time:

We know that the Vieta's formula to find the sum of roots taken 2 at a time is: Sum of roots taken 2 at a time = [tex]\frac{c}{a}[/tex]

Where c and a are the coefficients from the general form: ax³ + bx² + cx - d

for the given equation, c = 4 ; a = 2

Sum of roots taken 2 at a time = [tex]\frac{4}{2}[/tex]

Sum of roots taken 2 at a time = 2

Hence, the sum of roots taken 2 at a time (rs + st + rt) = 2

Finding the value of r² + s² + t²:

We proved before that:

r² + s² + t² = (r + s + t)² - 2(rs + st + rt)

now that we know the values of (r + s + t) and (rs + st + rt), we can plug those values to get our answer

r² + s² + t² = ([tex]\frac{3}{2}[/tex])² - 2(2)

r² + s² + t² = ([tex]\frac{9}{4\\}[/tex]) - 4

r² + s² + t² = [tex]\frac{9 - 16}{4\\}[/tex]

r² + s² + t² = [tex]\frac{-7}{4}[/tex] = -1.75

Hence, the value of r² + s² + t² is -1.75

Answer:

Step-by-step explanation:

[tex]\text{The area of a circle is }\pi r^2\text{ so the area of half a circle is }\frac{\pi r^2}{2}\\ \\ A=\frac{\pi 11^2}{2}\\ \\ A=\frac{3.14(121)}{2}\\ \\ A\approx 189.97cm^2[/tex]

Answer:

760.25

Step-by-step explanation:

The formula for the surface area of a sphere is A=4πr².

r=the radius, or half of the diameter, of the circle.

when you plug in the radius and answer the formula, you should get 1520.5.

You should then divide it by 2 since we are trying to find half of the circle.

Answer:

Step-by-step explanation:

1). Geometric mean of a and b = [tex]\sqrt{a\times b}[/tex]

   Therefore, geometric mean of 2 and 50 = [tex]\sqrt{2\times 50}[/tex]

                                                                       = 10

2). By geometric mean theorem,

   [tex]\frac{JM}{KM}=\frac{KM}{ML}[/tex]

   [tex]\frac{6}{e}=\frac{e}{24}[/tex]

   e² = 6 × 24

   e = √144

   e = 12

  Similarly, [tex]\frac{JL}{KJ}=\frac{KJ}{JM}[/tex]

   [tex]\frac{6+24}{d}=\frac{d}{6}[/tex]

   d² = 6 × 30

   d = √180

   d = 6√5

   And [tex]\frac{JL}{KL}=\frac{KL}{ML}[/tex]

   [tex]\frac{6+24}{c}=\frac{c}{24}[/tex]

   c² = 30 × 24

   c = √720

   c = 12√5

Answer:

2

2

+

1

2

−

5

4

2

(

2

+

6

−

2

7

)

Step-by-step explanation:

Answer:

Commission rate is 20%.

Step-by-step explanation:

Joey's weekly salary is $325

Plus a commission on his total sales.

Let commission is x% on his total sales.

So, we can set up equation for the given information as

325+x%(2950)= 915

Solve this equation for x%.

Subtract both sides 325

x%(2950) =590

Divide both sides by 2950

x%=0.2

We know x% means it is [tex]\frac{x}{100}[/tex]

So, [tex]\frac{x}{100} =0.2[/tex]

Multiply both sides by 100

x=20%.

So, commission rate is 20%

Answer:

There is sufficient statistical evidence to suggest that the US presidents are taller than the average American male

Step-by-step explanation:

The given parameters are;

The mean height of American Males, μ = 69.5 inches

The mean height of 43 male presidents, [tex]\overline x[/tex] = 70.78

The standard deviation, s = 2.77 inches

The number of male presidents = 43

The null hypothesis; H₀ μ = [tex]\overline x[/tex]

The alternative hypothesis; Hₐ μ ≠ [tex]\overline x[/tex]

The significance level, α = 0.05

The t test for the sample with unknown population standard deviation is given as follows;

[tex]t=\dfrac{\bar{x}-\mu }{\dfrac{s }{\sqrt{n}}}[/tex]

Therefore, we have;

[tex]t=\dfrac{70.78-69.5 }{\dfrac{2.77 }{\sqrt{43}}} \approx 3.0302[/tex]

The degrees of freedom, df = n - 1 = 43 - 1 = 42

The critical 't' value = 2.0181

Therefore, given that the t test value is larger than the critical-t, we reject the null hypothesis, therefore, there is sufficient statistical evidence to suggest that the US presidents are taller than the average American male

Step-by-step explanation:

We would do multiplication first, because of order of operations.

2x3=6

Now we add.

6+4=10

hope it helps! :3

2/3

Step-by-step explanation:

the anwser would be either 2/3 or 1/3

Answer:

The answer is 22.

Step-by-step explanation:

6x+2x+4=180

8x+4=180

8x=176

x=22

Answer:

44°

Step-by-step explanation:

cos B = 0.7193  =  44°

Answer:

A. The shape has three sides

Step-by-step explanation:

Hope this helps, have a great day

The solution is Option A.

The shape of the clock is having three sides and it represents a triangle

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Given data ,

Let the shape of the clock be represented as A

Now , let the coordinates of the clock be

The first coordinate point of clock P = P ( -8 , 6 )

The second coordinate point of clock Q = Q ( 8 , 0 )

The third coordinate point of clock R = R ( 8 , 6 )

So , there are three sides to the clock with three coordinate points

The figure represents a triangle with 3 sides

Therefore , the value of A is a triangle

Hence , the figure represents a triangle

To learn more about triangles click :

https://brainly.com/question/16739377

#SPJ6

Answer:

y = -2/7x + 4

Step-by-step explanation:

angle ABC is a parallel to angle DEF

Answer:

If you give me options and a picture I can help.

Step-by-step explanation:

If not the question makes no sense

Answer:

7.5

Step-by-step explanation:

-2.5 x 3 = 7.5

Answer:-7.5

Step-by-step explanation:

(−2.5)(3)

=−7.5

Answer:

60 points is the right answer

Step-by-step explanation:

Answer:

ya

Step-by-step explanation:

Answer:

[tex]y = x -3[/tex]  

Step-by-step explanation:

1) First, find the slope by using the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. We can see that the two points marked on the line are (0, -3) and (3,0). So, substitute the x and y values of those points into the formula and solve:

[tex]m = \frac{(0)-(-3)}{(3)-(0)} \\m = \frac{0+3}{3-0} \\m = \frac{3}{3} \\m=1[/tex]

So, the slope is 1.

2) Slope-intercept form is represented by the formula [tex]y = mx+b[/tex]. Substitute values for [tex]m[/tex] and [tex]b[/tex] in order to write an equation.

Substitute 1 for [tex]m[/tex] since it represents the slope. Substitute -3 for [tex]b[/tex] since it represents the y-intercept. (Remember that the y-intercept is the point at which the line intersects the y-axis. So, by looking at the graph provided, we can see that (0,-3) is the y-intercept without doing any calculations.) This gives the following answer:

[tex]y = x -3[/tex]

Answer:

2.33

Step-by-step explanation:

7 divided by 3 will equal 2.33

Answer: C

Step-by-step explanation: Because I said soooaiahi

-3, -3

,........... .......

Answer:

9;7

Step-by-step explanation:

Answer: c. When a > 0 and b > 1, the function models exponential growth.

You have exponential decay when a > 0 and 0 < b < 1.

Step-by-step explanation:

9514 1404 393

Answer:

  k = 2

Step-by-step explanation:

Find a coordinate of a point and its image. k is the ratio of those.

Here, it is easy to use the y-coordinate of J and J'.

  Jy = -1

  J'y = -2

k = J'y/Jy = -2/-1 = 2

The scale factor k is 2.