pls help asap!!!
Express the radical using the imaginary unit, i.
Express your answer in simplified form. square root of -70

Given:

Two figures.

To find:

The area of the shaded regions for both figures.

Solution:

In first figure, the shaded area is a triangle with base 15 units and height 12 units. So, the area of the shaded region is equal to area of the triangle.

[tex]A=\dfrac{1}{2}\times base\times height[/tex]

[tex]A=\dfrac{1}{2}\times 15\times 12[/tex]

[tex]A=\dfrac{180}{2}[/tex]

[tex]A=90[/tex]

Therefore, the area of the shaded region is 90 square units.

In the seconds figure, we need to subtract the area of square from the area of triangle, to get the area of the shaded region.

Area of triangle with base 15 and height 18 is:

[tex]A_1=\dfrac{1}{2}\times 15\times 18[/tex]

[tex]A_1=\dfrac{270}{2}[/tex]

[tex]A_1=135[/tex]

Area of the square with sides 6.

[tex]A_2=(side)^2[/tex]

[tex]A_2=(6)^2[/tex]

[tex]A_2=36[/tex]

Now, the area of the shaded region is:

[tex]A=A_1-A_2[/tex]

[tex]A=135-36[/tex]

[tex]A=99[/tex]

Therefore, the area of the shaded region is 99 square units.

Answer:

3

Step-by-step explanation:

x+42=15x

so x=42/14=3

Answer:

3

Step-by-step explanation:

15 x 3 = 42 + 3

Answer:   F (x) = 5x^2 + 10

Answer:

153:20

Step-by-step explanation:

765000/100000

=153/20

Answer:

Relationship A

Step-by-step explanation:

We can see that when we plug the given x and y values the soloutioncomes out corrrect.    

Answer:

13,34 , 150

Step-by-step explanation:

just proportions

Answer:

y-step explanation:

Answer:

A would be the correct answer

Step-by-step explanation:

Answer:

[tex] {x}^{2} = (10) {}^{2} + (16 - 9) {}^{2} \\ {x}^{2} = ({10})^{2} + (7) {}^{2} \\ {x}^{2} = 100 + 49 \\ {x}^{2} = 149 \\ x = \sqrt{149 } \\ x = 12.2[/tex]

Answer:

The shortest segment from the point to the line is perpendicular to the line.

Step-by-step explanation:

See the attached image.  The blue segments go from the point to the line, but they are longer than the shortest such segment (red).

Answer:

y=-2/5x-11/5

Step-by-step explanation:

y-y1=m(x-x1)

y-(-3)=-2/5(x-2)

y+3=-2/5x+4/5

y=-2/5x+4/5-3

y=-2/5x+4/5-15/5

y=-2/5x-11/5

Answer:

y = - 15.57x² + 179.32x + 0.20

510

Step-by-step explanation:

The quadratic model obtained using a quadratic regression solver with Coefficient rounded to the nearest hundredth is :

y = - 15.57x² + 179.32x + 0.20

Where, height = y

x = time

Using the model obtained ; the height, to the nearest foot, at a time, x = 6.4 seconds.

y = - 15.57x² + 179.32x + 0.20

y = - 15.57(6.4^2) + 179.32(6.4) + 0.20

y = 510.1008

y = 510

The quadratic model obtained using a quadratic regression solver with Coefficient rounded to the nearest hundredth is :

height = y

x = time

                          Using the model obtained;

The height, to the nearest foot, at a time, x = 6.4 seconds.

Thus, the correct answer is 510.

Know more :

https://brainly.com/question/23117287?referrer=searchResults

Answer:

80÷(4÷16) = 20

Step-by-step explanation:

4÷6=4

4x4=16

80÷4=20

4x20=80

Answer:

6 outcomes

Step-by-step explanation:

Answer:

m∡x = 95°

m∡y = 147°

m∡z = 128°

Step-by-step explanation:

m∡z = 180-52 = 128

measure of third angle in left triangle = 180-(45+50) = 85°

m∡x = 180-85 = 95°

measure of top angle in right triangle = 180-(95+52) = 33°

m∡y = 180-33 = 147°

Answer: V=628cm³

Step-by-step explanation:

V=(3.14)r²h

V=(3.14)(5²)(8)

V=628cm²

Hope this helps! Have a great night!

Answer:

sin X=30 degree

cos X=30 degree

tan X=30 degree

cot X=30 degree

sec X=30 degree

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

Let s represent the FCI for soccer. The given values tell us ...

  s + (s +7.47) = 108.09

  2s = 100.62 . . . . . . . . . . subtract 7.47

  s = 50.31

  s+7.47 = 57.78

The FCI for soccer was $50.31; the FCI for hockey was $57.78.

Answer:

36

Step-by-step explanation:

Angle BEC is a right angle. The total degree of a right angle is 90. So if you subtract 90 by 54, then you get the value of the remaining angle, which is 36.

Answer:

6x(x^2 - 2x + 3)

Step-by-step explanation:

By looking at these terms, we can realize that they all have a term to do with x and are divisible by 6. So, we have our GCF, which is 6x. Now, to factor out 6x, we have to divide every term by 6x; they will all divide without a remainder because we already established they were all divisible by 6x.

So, we get the division(for each term separately):

6x^3/6x - we can cancel out 6x from the numerator and denominator to get: x^2

-12x^2/6x -  we can cancel out 6x from the numerator and denominator to get: -2x

-18x/6x -  we can cancel out 6x from the numerator and denominator to get:

3

When we put this together we get:

6x(x^2 - 2x + 3)

This is the final answer

Answer:

The answer is 32x+67

Step-by-step explanation:

Answer:

(EF-GH)/2=J

(73-10)/2=31.5=J

Step-by-step explanation:

Step-by-step explanation:

I feel there is important information lost in the way you provided the problem statement.

e.g. "... also equal to ?"

equal to what ?

sin x = what ?

so, I can only guess some things.

answer C is definitely correct for any angle up to 180 degrees.

answer A is only correct for an angle of 45 or 225 degrees, where sin(x) and cos(x) are both 1/sqrt(2) or both -1/sqrt(2).

answer B is always wrong (459 degrees is no special number, this is a full circle of 360 degrees and then additional 99 degrees there is no special relationship between sine and cosine for 99 degrees, so sine and cosine cannot have the same value for any x).

answer D is always wrong, as there is always a 30 degree difference between the arguments for sine and cosine, and that can never lead to an equal value.

answer E is also always wrong, as these 45 degrees difference also block equal values.