From a boat ont he lake, the angle of elevation to the top of a cliff is 11° 50'. If the base of the cliff is 1568 feet from the boat, how high is the cliff (to the nearest foot)

The given center and point on the circle of (2, 3), and (5, 3), respectively

gives the equation of the circle as; [tex]\underline{(x - 2)^2 + (y - 3)^2 = 3^2}[/tex].

The general form of the equation of the circle is presented as follows;

(x - h)² + (y - k)² = r²

Where;

(h, k) = The center of the circle

r = The radius of the circle

Which gives;

(h, k) = (2, 3)

h = 2

k = 3

r = √((5 - 2)² + (3 - 3)²) = 3

The equation of the circle is therefore;

Learn more about the equation of a circle here:

https://brainly.com/question/502872

Complete question :

It takes 313131 employees and \$7500$7500dollar sign, 7500 to build a car, and it takes 191919 employees and \$4300$4300dollar sign, 4300 to build a motorcycle. Genghis Motors wants to spend more than \$84000$84000dollar sign, 84000 to build cars and motorbikes using at most 706706706 employees. Let CCC denote the number of cars they build and MMM the number of motorbikes they build. Write an inequality that represents the condition based on the number of employees. Write an inequality that represents the condition based on the number of dollars.

Answer:

31C + 19M ≤ 706

7500C + 4300M > 84000

Step-by-step explanation:

C = number of cars built

M = number of motorcycles built

Cost of building a car :

Cost = 31 + $7500

Cost of building a motorcycle,:

Cost = 19 + 4300

To build, C cars :

Number of employees = 31C

7500 * C = 7500C

To build, M motorcycles :

Number of employees = 19M

4300 * M = 4300M

Genghis budget :

Amount > 84000

Number of employees ≤ 706

Hence, the constraints

31C + 19M ≤ 706

7500C + 4300M > 84000

Answer:

See explanations below

Step-by-step explanation:

Let the amount of nickel be x

Let the amount of pennies be y

Let the amount of quarters be z

If the the total value of the coins is 3.88, then;

x+y+z = 3.88 .... 1

If Anita has 4 more nickels than pennies, then;

x = y + 4 ... 2

If she has 2 more than 4 times the number of quarters than pennies, then;

y = 2 + 4z

4z = y-2

z = (y-2)/4 ...3

Substitute 2 and 3 into 1

y+4+y+(y-2)/4 = 3.88

4y+16+4y + y-2 = 15.52

9y + 14 = 15.52

9y = 15.52 - 14

9y = 1.52

y = 1.52/9

y = 0.17

Since x = y + 4

x = 0.17+4

x  = 4.17

z = y-2/4

z = 0.17-2/4

z = -1.83/4

z = - 0.46

Answer:

Malcom used 3 pounds and 3 ounces of rice in the casserole

Answer:

5

Step-by-step explanation:

3(x+3)=4(4+2)

3x+9=24

3x=15

x=5

Hope this helps :)

Answer:

108 cookies total

Step-by-step explanation:

19+89=108

Answer:

108

Step-by-step explanation:

Good Luck!

Answer:

500 milliliters

Step-by-step explanation:

Dylan has 0.5 liters of water. He needs to find out how many milliliters of water he has so he can complete his science experiment. How many milliliters (mL) of water does Dylan have

1 liter of water = 1000 milliliters of water

0.5 liters of water = x

Cross Multiply

x = 0.5 × 1000 milliliters of water

x = 500 milliliters of water

Therefore, Dylan has 500 milliliters of water

Answer:

answer

Step-by-step explanation:

Answer:

500 milliliters

Step-by-step explanation:

Dylan has 0.5 liters of water. He needs to find out how many milliliters of water he has so he can complete his science experiment. How many milliliters (mL) of water does Dylan have

1 liter of water = 1000 milliliters of water

0.5 liters of water = x

Cross Multiply

x = 0.5 × 1000 milliliters of water

x = 500 milliliters of water

Therefore, Dylan has 500 milliliters of water

Answer:

the answer is 4.5 in term of the measurement because Figure A has a larger scale and B has a smaller scale

Answer:

0.25

Step-by-step explanation:

Divide one side of Figure B by the congruent side of Figure A and you would get the scale factor.

If you multipy every side of figure A by 0.25 you would get the sides of figure B.

Hope this is helpful:)

Answer:

36

Step-by-step explanation:

put in the values of m and m first then solve:

6•7= 42

3•2= 6

42-6= 36

hope this helps have a great day luv <3

Answer:

-11/4

Step-by-step explanation:

The y intercept has the coordinates of (0,2)

We have two points (0,2) and (4,-9) so we can find the slope using

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

   = ( -9-2)/(4-0)

   = -11/4

Answer:

-11/4

Step-by-step explanation:

y = mx + c

Point (x,y)

intercept c

slope m

-9 = m(4) + 2

-9 = 4m + 2

make m the subject of the formula

4m = -9-2

4m = -11

divide both sides by 4

m = -11/4

Answer:

39

Step-by-step explanation:

15 + 24 =39

since they are like terms so we can add or subtract

Answer:

The total would be $80.52. The tip was $12.28

Step-by-step explanation:

18% of 68.24 is 12.2832. I just rounded and called it 12.28. From there I just added it to 68.24 and got 80.52.

Answer: 24.9

Step-by-step explanation:

6.2 tan(76) = 24.86

Answer:

the answer is 24.9

Step-by-step explanation:

Answer:

Speed=Distance÷time

speed=25km÷0.5hour=50km/h

Step-by-step explanation:

First you must convert minutes to hours (divide by60/ (÷60) ) to get 0.5

30÷60=0.5hours

Answer:

x = 25

Step-by-step explanation:

The triangle is isosceles, therefore, the base angles are the same

62 + 2x + 9 + 2x + 9 = 180

62 + 4x + 18 = 180

4x = 180 - 62 - 18

4x = 100

x = 100/4

x = 25

Answer:

c

Step-by-step explanation:

Answer:

I think A or C

Step-by-step explanation: hope this was helpful

Answer:

A) 10 units

Step-by-step explanation:

distance formula:

d=the square root of (x2-x1)^2 + (y2-y1)^2

(-5,4)

(3,-2)

d=the square root of (3-[-5])^2 + (-2-4)^2

d=the square root of 64+36

d=the square root of 100

d=10

Answer:

y,z,x

Step-by-step explanation:

30° = 0.52

150° = 2.68

-220° = -3.34

Answer:

the answer is D!

Step-by-step explanation:

y=60x+30 aka 210=60(3)+30

y=70x aka 210=70(3)

Answer:

a, b, e

Step-by-step explanation:

It is proportional since it goes at the same rate on the x and y

It has a rate of 8.5 since 17/2=8.5

at the rate of 8.5 y per one x then 4 8.5's would make 34

Step-by-step explanation:

Solution

9 − − 8

Answer:

The answer is 9x - y - 8z.

Step-by-step explanation:

1) Expand by distributing terms.

[tex] - (8x + 6y) + 17x + 5y - 8z[/tex]

2) Remove parentheses.

[tex] - 8x + 6y + 17x + 5y - 8z[/tex]

3) Collect like terms.

[tex]( - 8x + 17x) + ( - 6y + 5y) - 8z[/tex]

4) Simplify.

[tex]9x - y - 8z[/tex]

Therefor, the answer is 9x - y - 8z.

Answer:

A

Step-by-step explanation:

When dilating an object, you multiply the x and y values by whatever scale you want to dilate the object by. It cannot be C because 2/5 is less than 1, which means that the object would shrink. So the answer must be A

Answer:

c

Step-by-step explanation:

Answer: c

Step-by-step explanation:

Step-by-step explanation:

x = 24

Quadrilateral:

We have 94° + 41° + a + b.

Using 111°, we can do 180 - 111 and get 69°.

Now, we have 94° + 41° + 69° + b.

A quadrilateral's angles will equal 360°.

94 + 41 + 69 + b = 360°

204 + b = 360°

b = 156

Triangle:

Now, we can do 180 - 156 to find x.

x = 24

Hope this was helpful!

Answer:

32.56

Step-by-step explanation: