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1 year ago

CD is tangent to circle A at point B.

Mathematics

1 answer:

Mrrafil [7]1 year ago

7 0

The measure of the angle m<ABD is 90 degrees

<h3>Circle geometry</h3>

Circle geometry is the measure of angles within a circle. From te=he diagram shown, we can see that CD is tangent to circle A at point B and a line tangential to c circle is at 90 degrees

Since we are to find the measure of M<ABD, hence the required mesaure of the angle will be 90 degrees

Learn more on circle geometry here: brainly.com/question/24375372

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Find the pattern. What numbers come next?

Ilia_Sergeevich [38]

Answer:

Step-by-step explanation:

the pattern is -6 to get the next number

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2 years ago

Read 2 more answers

Claire Drew model of 5/10 explain how Claire could change her model to show how many hundreds are in 5/10 I know this is like my

natta225 [31]

Answer:

There are 0.005 hundreds in 5/10.

Step-by-step explanation:

Claire drew model of 5/10

We want to know how many hundreds are in 5/10.

Let us use an obvious example.

There are three 2's in 6 right?

Suppose we didn't know this, and we are told to find how many 2's are in 6, we get this by representing this in an algebraic expression as:

There are x 2's in 6. This can be written as

2x = 6

Solving for x, by dividing both sides by 2, we have the number of 2's that are in 6.

x = 6/2 = 3.

Now, to our work

We want to find how many hundreds are in 5/10. We solve the equation

100x = 5/10

x = 5/1000 = 0.005

There are 0.005 hundreds in 5/10.

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2 years ago

Carlos figures he will spend on average $780 per month in rent and utilities. his total monthly expenses will total $1,950. He w

nekit [7.7K]

I am not sure...but....
(780/1950) * 360 ( as a circle has 360 degrees, you multiply with 360)

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3 years ago

Santa Claus is assigning elves to work an eight-hour shift making toy trucks. Apprentice earn five candy canes per hour but can

dimaraw [331]

Answer:

(a) 5 senior, 4 apprentice

(b) 368 per shift

Step-by-step explanation:

The problem can be described by two inequalities. On describes the limit on the number of elves in the shop; the other describes the limit on the total payroll. Let x and y represent the number of apprentice and senior elves, respectively. Then the inequalities for the first scenario are ...

x + y ≤ 9 . . . . . . . . . . . . total number of elves in the shop

5x +8y ≤ 480/8 . . . . . . candy canes per hour paid to elves

These two inequalities are graphed in the first attachment. They describe a solution space with vertices at ...

(x, y) = (0, 7.5), (4, 5), (9, 0)

(a) Santa wants to maximize the output of trucks, so wants to maximize the function t = 4x +6y.

At the vertices of the solution space, the values of this function are ...

t(0, 7.5) = 45

t(4, 5) = 46

t(9, 0) = 36

Output of trucks is maximized by a workforce of 4 apprentice elves and 5 senior elves.

(b) The above calculations show 46 trucks per hour can be made, so ...

46×8 = 368 . . . trucks in an 8-hour shift

(c) The new demands change the inequalities to ...

x + y ≤ 8 . . . . . . number of workers

7x +8y ≤ 60 . . . total wages (per hour)

The vertices of the feasible region for these condtions are ...

(x, y) = (0, 7.5), (4, 4), (8, 0)

From above, we know the truck output will be maximized at the vertex (x, y) = (0, 7.5). However, we know we cannot have 7.5 senior elves working in the shop. We can have 7 or 8 elves working.

If the workforce must remain constant, truck output is maximized by a workforce of 7 senior elves.

If the workforce can vary through the shift, truck output is maximized by adding one more senior elf in the shop for half a shift.

Santa should assign 7 senior elves for the entire shift, and 8 senior elves (one more) for half a shift.

_____

<em>Comment on apprentice elf wages</em>

At 5 candy canes for 4 trucks, apprentice elves produced trucks for a cost of 1.25 candy canes per truck. At 8 candy canes for 6 trucks, senior elves produced trucks for a cost of about 1.33 candy canes per truck. The reason for employing senior elves in the first scenario is that their productivity is 1.5 times that of apprentice elves while their cost per truck is about 1.07 times that of apprentice elves.

After the apprentice elves wages were increased, their cost per truck is 1.75 candy canes per truck, but their productivity hasn't changed. They have essentially priced themselves out of a job, because they are not competitive with senior elves.