If the two lines below are perpendicular and the slope of the red line is -7,
what is the slope of the green line?

Answer:

[tex]\cos\ A = \frac{2}{4.5}[/tex]

Step-by-step explanation:

Given

[tex]sin\ A = \frac{2}{4.5}[/tex]

See attachment

Required

Explain and correct the error

The error in the equation is that: the formula of cosine of angle A is used to calculate the sine of angle A.

The ratio can be corrected as by using:

[tex]\cos\ A = \frac{Adjacent}{Hypotenuse}[/tex]

[tex]\cos\ A = \frac{AC}{AB}[/tex]

[tex]\cos\ A = \frac{2}{4.5}[/tex]

Answer:

ŕtyytuu6544789mz.8866790977

9514 1404 393

Answer:

Step-by-step explanation:

The side given is opposite the given angle. We want to find both the hypotenuse and the adjacent side in the right triangle that models the geometry.

  Sin = Opposite/Hypotenuse

  sin(50°) = (230 ft)/h

  h = (230 ft)/sin(50°) ≈ 300.24 ft

The length of the cable must be about 300.2 feet.

__

  Tan = Opposite/Adjacent

  tan(50°) = (230 ft)/d

  d = (230 ft)/tan(50°) ≈ 192.99 ft

The cable must be anchored about 193.0 ft from the tower.

Answer:

~12.7~

Step-by-step explanation:

hope this helps brainlest!

Answer:

Step-by-step explanation:

x = width

6x - 8 = length

2x + 6x - 8 = 40

8x = 48

width = 6 feet

length = 28 feet

Answer:

I can's make out the line, but, you can plot two points, (try to make them whole numbers ie (3,6), (4,8)), subtract the point with the smallest x value from the other point ((4,8)-(3,6)=(1,2)) Divide the new y, by the new x (2/1), and you have your slope.

Step-by-step explanation:

Answer:

324 inches

Step-by-step explanation:

The area of the painting would be 324 inches.

Answer: 0.4

Have a nice day!

Answer:

0.4 or 2/5

Step-by-step explanation:

You can solve this question by doing [tex]\frac{1}{5}[/tex] x [tex]\frac{2}{1}[/tex] to get the answer of [tex]\frac{2}{5}[/tex] or 0.4.

Answer:

Step-by-step explanation:

Answer:

376.9 ft²

Step-by-step explanation:

There you go the right answer

Answer:

hello some part of your question is missing below is the missing part

If Dayton's machine is being used on a trial basis, should its purchase be considered?  C.V.(S) =  Test Statistic=   P-Value=   Decision: Conclusion:

answer :

i ) Cv(s) = 51.739

ii)  T = 44.8

iii)  p-value  = 0.0082

iv)   we do not fail to reject H0 ( since p-value < 0.05 )

v ) The new machine fills the bottles with a lesser variation

Step-by-step explanation:

we will test the hypothesis in regards to the standard deviation of the population

The hypothesis are    

H0 : б = 0.15

Ha : б < 0.15

hence at ∝ = 0.05    where n = 71

i) critical point for left sided test = [tex]x^2_{1-\alpha } , n - 1[/tex]

hence Cv(s) = 51.739

ii) Test statistic = T = ( n - 1 ) s^2 / б^2

 s = 0.12 , n = 71 , б = 0.15

hence T = 44.8

iii) P-value =  p ( [tex]x^{2} _{70}[/tex] < 44.8 )  = 0.0082

iv ) Decision : we do not fail to reject H0 ( since p-value < 0.05 )

v ) conclusion : The new machine fills the bottles with a lesser variation

Answer:

D

Step-by-step explanation:

Answer:

x=number of hours

c(x)= 25x+75

y-intercept= (0, 75)

Equation= y=25x+75

Slope= 25

Step-by-step explanation:

75 would be the y intercept(constant) because that's the initial charge for a call.

25 would be the coefficient for x because the hour you spend on the call varies.

The slope is how steep the line is, in this case it is 25.

x is the number of hours because that is the time that varies.

Answer:

Step-by-step explanation:

[tex]8^{12}=3x-5\quad :\quad x=\frac{8^{12}+5}{3}\quad \left(\mathrm{Decimal}:\quad x=22906492247\right)[/tex]

[tex]8^{12}=3x-5\\\\\mathrm{Add\:}5\mathrm{\:to\:both\:sides}\\3x-5+5=8^{12}+5\\Simplify\\\mathrm{Divide\:both\:sides\:by\:} 3\\\frac{3x}{3}=\frac{8^{12}}{3}+\frac{5}{3}\\\mathrm{Simplify}\\x=\frac{8^{12}+5}{3}[/tex]

Answer:

y=3x/2-3

Step-by-step explanation:

y=mx+c

9=m(8)-3

9+3=8m

12=8m

m=12/8

m=3/2

The equation of the line is y=3x/2-3

Answer:

the answer is 18y thank me later mate

Answer:

Step-by-step explanation:

182

Answer:

5 feet

Step-by-step explanation:

Divide the area by the base to get 5 feet tall

Answer:

54 cm²

Step-by-step explanation:

Area of a trapezoid = 1/2(b1+b2)h

You add together the bottom and top bases, and then divide it in half to get the average.  Then you multiply it by the height.

1/2(12+6)6

1/2(18)6

9x6

54 cm²

Answer:

Dividened

Step-by-step explanation:

Because that is what is going into 3

have a great day!

brailiest is appreciated!

Answer:

6:7

Step-by-step explanation:

divide both sides by 7...

Answer:

-510 degrees and -210 degrees :)

Step-by-step explanation:

An angle is a figure created by two rays. The measure of the angle can be written as 150° or -210°.

An angle is a figure created by two rays, known as the sides of the angle, that have a common terminus, known as the vertex of the angle. Angles created by two rays lie in the plane containing the beams.

The measure of the angle measured from the positive x-axis in an anticlockwise direction will be,

[tex]\theta = 180^o-30^o = 150^o\\\\[/tex]

The measure of the angle measured from the positive x-axis in clockwise direction will be,

[tex]\theta = 180^o+30^o = -210^o[/tex]

Hence, the measure of the angle can be written as 150° or -210°.

Learn more about Angle:

https://brainly.com/question/13954458

#SPJ2

Pair 1 and pair 3 have congruent polygons.

A polygon is said to be congruent if it has the same shape, sides that are the same length, and internal angles as the polygon it is being compared to. The criterion is satisfied if all of the congruent shapes are of the same type.

Pair 1: The polygons are identical in size and shape.

Pair 2: The polygons are identical in shape but vary in size.

Three: The polygons are the same size and shape.

Pair 4: The polygons are identical in shape but vary in size.

Here, pair 1 and pair 3 have congruent polygons.

learn more about congruent theorem here:

brainly.com/question/24033497.

#SPJ5

Answer:

1.50 + 13.75 = 15.25

15.25 x 579.50 = 38

ok so basically you take the total and divide it by the total of one student!! :)

answer is: 38

Answer:it is b

Step-by-step explanation:

Because I know

Answer:

Step-by-step explanation:

So this shape is made up two geometrical shapes - Triangle and a Rectangle.

So we have to find the area of Rectangle and Triangle

Area of Rectangle =

[tex]l \times b[/tex]

If we apply this to the given diagram we get,

[tex]10 \times 6 \\ = 60[/tex]

Now we have to find the area of Triangle

Area of Triangle =

[tex] \frac{1}{2} \times b \times h[/tex]

If we apply this to the given diagram we get,

[tex] \frac{1}{2} \times 7 \times 6 \\ = \frac{1}{2} \times 42 \\ = 21[/tex]

So the total area of the given figure is 60 + 21 which is equal to 81 sq.metre

Answer:

[tex]81m^{2}[/tex]

Step-by-step explanation:

Area of rectangle =Length × Width

so Area of rectangle = 10 × 6=60[tex]m^{2}[/tex]

The base of triangle equals to the width of rectangle so,

Area of triangle =[tex]\frac{1}{2}[/tex]×7×6=21[tex]m^{2}[/tex]

Then add the two areas together so , 60+21=81[tex]m^{2}[/tex]

Because it's two shapes

Answer:

111

Step-by-step explanation:

Answer:

Yuh, I don't have cash app, so you get a freebie on this one :)

Step-by-step explanation:

So the first one is:

x + 8

and the second one is:

10

The first one is asking for an expression that is 8 more than x.  The word more always implies adding.  So the expression would be : x + 8

The second one just wants you to substitute 2 into the equation you made in the first one.  So 2 + 8 is 10