0 What are the solutions to the equation 12. 2d – 71 = 60? d = [ Select and d = [Select ]​

Answers

Answer 1
Answer: D=65.5

Explanation

2d -71 = 60
+71. +71
Add 71 to both sides

2d/2=131/2

Divide by 2 on both sides

D=65.5

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DСIf m_ABD = 65° and m2DBC = 60°,then m ABC = [ ? 1°
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Suppose you want to represent a triangle with sides 12 feet, 16 feet, and 18 feet on a drawing where 1 inch = 2 feet. How long should the sides of the triangle be in inches?The sides of the triangle on the drawing should be _____.

write the equation of a line that passes through the points (−3, 5) and (2, 10) in slope-intercept form

Answers


Slope-intercept form         y = mx + b

                          where    m------> slope

                                         b-------> y-intercept

                                        m= (y1-y2)/(x1-x2)

                                        P1(-3,5)      (x1,y1)

                                        P2(2,10)      (x2,y2)

                                         m= (5-10)/(-3-2)

                                         m= (-5)/(-5)

                                         m=1

               Until now, the equation is y=mx+b

                                                        y=1.x+b

                                                        y=x+b

But, whe can plug  the point   P2(2,10) in y =x+b

                                                     10 =2 + b

                                                   10 - 2 = b

                                                           b= 8

Then, the equation is              y=mx+b

                                                y= x+8   <-------------------Solution

Verification                    P1(-3,5)       y = x+8        5=-3+8     Ok

                                      P2(2,10)      y = x +8      10 = 2+8   Ok

                    

A West Coast university statistics professor wishes to determine which surfboard brand delivers consistently longer rides, Channel Island or JS. He recruits two of his students who surf to assist in an experiment, and the student assigned to the Channel Island board is determined by coin flip. The three head out to the beach for an afternoon, with the professor holding up a sign at random times for the respective student to catch the next wave on his board, and the time spent on that wave is recorded. This is repeated until each student has ridden 10 waves. The brand of surfboard in this story is A) the explanatory variable. B) a parameter. C) stratified.D) the response variable. E) blinded.

Answers

Answer:

This is repeated until each student has ridden 10 waves. The brand of surfboard in this story is "the explanatory variable"

Step-by-step explanation:

the explanatory variable otherwise known as the the Independent variable.

in the scenario above the brand of surfboard is independent of the event because the brand doesn't matter in the experiment.

Find the missing side and round to the nearest tenth

Answers

To solve for the missing side. Do sin 33 degrees = 16/x and rearrange the equation to solve for X. X=16/sin 33

Find the value or values of y in the quadratic equation y2 + 4y + 4 = 7.

Answers

If we move 7 to one side, we have (y^2 + 4y -3) = 0. From this form, we can apply the quadrati formula to solve for the values of y. To recall, quadratic formula is [ -b ±√ (b² - 4ac) ]/2a. For our equation, we have a =1, b = 4, and c = -3. If we plug this in, we have y to have approximate values of -2 - sqrt(7) and -2 + sqrt(7).

Every week, Hector works 20 hours and earns $210.00. He earns a constant amount of money per hour.Part A
Write an equation that can be used to determine the number of hours, h, Hector works given the number of weeks, W.
Enter your equation in the space provided

Part B
Write an equation that can be used to determine Hector's earnings, in dollars, m, for h hours of work.
Enter your equation in the space provided.

Answers

Answer:

A). h = 20 w

B). m = 10.5h

Step-by-step explanation:

Part (A).

Let the total number of hours Hector worked = h

And total number of weeks worked by Hector = w

Therefore, number of hours Hector worked in a week = (h)/(w)

Since, total number of hours worked in a week = 20

Equation will be,

20 = (h)/(w)

h = 20w

Part (B).

Per hour earning of Hector = \frac{\text{Total earning}}{\text{Number of hours worked}}=(210)/(20)

(m)/(h)=10.5

m = 10.5h

Determine the length, to 1 decimal place, of the arc that subtends an angle of 5.4 radians at the centre of a circle with radius 7 cm.

Answers

The length, to 1 decimal place, of the arc that subtends an angle of 5.4 radians at the center of a circle with a radius of 7 cm is 37.8 cm.

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

It is given that:

The arc subtends an angle of 5.4 radians at the center of a circle with a radius of 7 cm.

As we know, the relationship between radius of the circle, central angle, and arc length is:

s = rθ

r = 7 cm

θ = 5.4 radians.

When two lines or rays converge at the same point, the measurement between them is called an "Angle."

s = 7×5.4

s = 37.8 cm

Thus, the length, to 1 decimal place, of the arc that subtends an angle of 5.4 radians at the center of a circle with a radius of 7 cm is 37.8 cm.

Learn more about circle here:

brainly.com/question/11833983

#SPJ4

Answer:

37.8

Step-by-step explanation:

Length = radius * Θ

L=7*5.4

L=37.8

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