The number of donuts produced by a machine is directly proportional to the time the machine runs . The machine produces 380 donuts in 20 minutes . How many donuts can the machine produce after running for 45 minutes?

Given:

In ΔJKL, k = 4.1 cm, j = 3.8 cm and ∠J=63°.

To find:

The value of  ∠K to the nearest 10th of a degree.

Solution:

According to the Law of Sine:

[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

We have, In ΔJKL, k = 4.1 cm, j = 3.8 cm and ∠J=63°.

Using the Law of Sine, we get

[tex]\dfrac{j}{\sin J}=\dfrac{k}{\sin K}[/tex]

[tex]\dfrac{3.8}{\sin (63^\circ)}=\dfrac{4.1}{\sin K}[/tex]

[tex]3.8\sin K=4.1\sin (63^\circ)[/tex]

[tex]\sin K=\dfrac{4.1\sin (63^\circ)}{3.8}[/tex]

[tex]\sin K=0.961349[/tex]

[tex]K=\sin^{-1}(0.961349)[/tex]

[tex]K=74.0182[/tex]

[tex]K\approx 74.0[/tex]

Therefore, the measure of angle K is 74.0 degrees.

Answer:

(9x+3)

Step-by-step explanation:

Answer:

3.9 pounds

Step-by-step explanation:

Box A=1.4 lbs

Box B=2.5 lbs

Answer= Box A + Box B = 1.4+2.5 lbs

1.4+2.5= 3.9 lbs

Answer:

140.74

Step-by-step explanation:

1.area of right triangle

1/2*b*h=1/2*20*18=180

2.area of semi circle

1/2*pi*r^2=1/2*pi*5^2=39.26

r= d/2

180-39.26=140.74

Answer: 4°F

Step-by-step explanation:

From the question, we are informed that temperature at 5:30 a.m was –4°F and that eight hours later, at 2:30 p.m, the temperature is the opposite of –4°F.

The temperature at 2:30 will be 4°F since the opposite of -4 is +4. Also since there's an interval of 8 hours, it's likely that the temperature increased by 1° for every hour. In 8 hours, it'll have increased by 8°, therefore the temperature will then be:

= -4 + 8

= 4°F

Answer: it is a reflection across the x-axis sorry if I responded late

Answer:

1.8 meters

Step-by-step explanation:

7.2÷4= 1.8

Answer:

1.8 m

Step-by-step explanation:

let side be 'a'.

perimiter of a square = 4(a)

7.2 = 4(a)

7.2/4 = a

therefore, a = 1.8 m.

Answer:

2s + 5a > 1000

s + a < 500

Key:

s represents a sold student ticket

a represents a sold adult ticket

Answer:

eight hundred seventy five thousand five hundred eighty four

Step-by-step explanation:

Answer:

(2,-1)

x=2

y=-1

Step-by-step explanation:

Answer:

85 lol

Step-by-step explanation:

27+58=85

Answer:

The mean is 31

The mode is In this case there is no mode

The median is 32

The range is 29

Answer:

C

Step-by-step explanation:

yeyeyeye

Answer:Add  

9

to both sides of the equation.

x

=

y

+

9

x

+

y

=

6

Replace all occurrences of  

x

with  

y

+

9

in each equation.

Tap for more steps...

2

y

+

9

=

6

x

=

y

+

9

Solve for  

y

in the first equation.

Tap for more steps...

y

=

−

3

2

x

=

y

+

9

Replace all occurrences of  

y

with  

−

3

2

in each equation.

Tap for more steps...

x

=

15

2

y

=

−

3

2

The solution to the system is the complete set of ordered pairs that are valid solutions.

(

15

2

,

−

3

2

)

The result can be shown in multiple forms.

Point Form:

(

15

2

,

−

3

2

)

Equation Form:

x

=

15

2

,

y

=

−

3

2

image of graph

Step-by-step explanation:

Answer:

y=2x+12

Step-by-step explanation:

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

y-2=2(x+5)

y-2=2x+10

y=2x+12

Answer:

-14/20

-21/30

Step-by-step explanation:

-7/10

-7x2=-14 and -10x2=-20

-14/20

-7/10

-7x3=-21 and -10x3= -30

-21/30

Answer: See explanation

Step-by-step explanation:

From the question, we are informed that Michelle buys a car that costs $15,000 and that she makes a down payment of $5,000 and later pays $3000 in the next payment.

To get the equation that can be used to find the amount she still owes, C, of the car, we will have to deduct the amount that she has paid from the cost of the car. This will be:

C = 15000 - 5000 - 3000

C = 15000 - 8000

Therefore solving the equation further, the amount left to pay will be:

C = 15000 - 8000

C = 7000

Answer:

140/90

Step-by-step explanation:

:>

Answer: A. 50

Step-by-step explanation:

Answer:  the degree will go down 90 degrees

Step-by-step explanation: An obtuse triangle is one that has an angle greater than 90°. An acute triangle is defined as a triangle in which all of the angles are less than 90°.

Answer:

(-3,-5)

Step-by-step explanation:

When rotating 180˚ degrees about the origin just switch the value of the number from positive to negative or negative to positive

The question is incomplete :

The height, width and Lenght isn't Given. However, we can create an hypothetical scenario, with a height 6, length 8 and width 4

Answer:

192 unit³

Step-by-step explanation:

The volume of the card box :

Recall the volume of box formula :

V = length * width * height

Volume = 8 * 6 * 4

Volume = 192 unit³

This is the procedure for any given dimension of the card deck.

Answer:

5 5/6 cu in

Step-by-step explanation:

Answer:

[tex]\frac{x}{x+2} - \frac{4}{x-2}=1\\or, \frac{x(x-2)}{(x+2)(x-2)} -\frac{4(x+2)}{(x+2)(x-2)}=1\\or, \frac{x^2-2x}{x^2-4} -\frac{(4x+8)}{x^2-4} =1\\or, \frac{x^2-2x-(4x+8)}{x^2-4} =1\\or, \frac{x^2-2x-4x-8}{x^2-4}=1\\or, {x^2-6x-8} =x^2-4\\or, -6x-8=-4\\or, 3x+4=2\\or, 3x = -2\\or, x =\frac{-2}{3}[/tex]

Answer:

55.9548

Step-by-step explanation:

35.64 ÷ 2 = 17.82

17.82 × 3.14 = 55.9548

Answer: 111.97

Step-by-step explanation:

Circumference of a circle= 2πr

r= d/2

diameter= 35.64

Therefore circumference= 2*(3.14)*(35.64/2)

= 111.97

5418-6= 5412

Hope this helps

Answer:

1.) 169

2.) 63

3.) 50

4.) 221

5.) 6

6.) 501

7.)11

8.) 9

Step-by-step explanation:

sorry i dont have time for the explanation. :( i hope i helped you still

Answer:

x = 1

Step-by-step explanation:

by solving the equation we get ;

Step-by-step explanation:

x = 1

hope it helps

Be happy and make happy

Answer:

uiuiuiui86767

Step-by-step explanation:

your answer is e330408384