In ΔKLM, the measure of ∠M=90°, the measure of ∠K=83°, and KL = 74 feet. Find the length of MK to the nearest tenth of a foot.

Answer:

rate boat = 15 mph

rate current = 5 mph

explanation:

d = r * t

t = d/r

240 / (r_boat + current) = 12       Multiply both sides by r_boat + r_current.

240 = 12(r_boat + current)

240/ (r_boat - current) = 24       Multiply both sides by r_boat - r_current

240 = 24*(r_boat - current)    

Since the distances are the same in both equations, you can equate the right side of each.

12 (r_boat + current) = 24(r_boat - current)     Divide by 12

r_boat + current  = 2 (r_boat - current)             Remove the brackets.

r_boat  + current = 2*r_boat - 2* current          add 2 currents to both sides

r_boat  + 3currents = 2*r_boat                          Subtract r_boat both sides

3 currents = r_boat.

240 = 12*(r_boat + current.                               Divide by 12

20 = r_boat + current                                        Put 3 currents in for r_boat

20 = 3currents + 1 current                                Combine

20 = 4 currents                                                  Divide by 4

5 = current

The rate of the current = 5 miles / hour

3 currents = r_boat

3*5 = rate_boat

15 = rate of the boat

Answer:

4213

Step-by-step explanation:

go to the numbers that pop out and do it backwards.

Answer:

a) It is clear that point A is located at x = -2, and y = -1, therefore, the coordinates of point A are: A(-2, -1)

b) We can plot the point B (-2, 4) on the grid at x = -2 and y = 4.

Please check the attached graph.

c) The coordinates of the midpoint of AB:  [tex]\left(-2,\:\frac{3}{2}\right)[/tex]        

Step-by-step explanation:

Part a)

Important Tip:

It is clear that point A is located at x = -2, and y = -1, therefore, the coordinates of point A are:

Part b)

We can plot the point B (-2, 4) on the grid at x = -2 and y = 4.

Please check the attached graph.

Part c)

We can determine the coordinates of the midpoint of AB using the formula

[tex]M.P_{AB}=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

In our case, we have:

A(x₁, y₁) = A(-2, -1)

B(x₂, y₂) = B (-2, 4)

so substituting [tex]\left(x_1,\:y_1\right)=\left(-2,\:-1\right),\:\left(x_2,\:y_2\right)=\left(-2,\:4\right)[/tex] in the formula

[tex]M.P_{AB}=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

            [tex]=\left(\frac{-2-2}{2},\:\frac{4-2}{2}\right)[/tex]

Refine

            [tex]=\left(-2,\:\frac{3}{2}\right)[/tex]

Therefore, the coordinates of the midpoint of AB:  [tex]\left(-2,\:\frac{3}{2}\right)[/tex]          

Answer:

cevap =560...........

Question:

Simplify the radical expressions

[tex]1.\ \sqrt{63[/tex]     [tex]2.\ \sqrt{48[/tex]    [tex]3.\ \sqrt{75[/tex]      [tex]4.\ \sqrt{99[/tex]      [tex]5.\ \sqrt{92[/tex]

[tex]6.\ \sqrt[3]{24}[/tex]      [tex]7.\ \sqrt[3]{81}[/tex]      [tex]8.\ \sqrt{128}[/tex]     [tex]9.\sqrt[3]{40}[/tex]     [tex]10.\ \sqrt[3]{135}[/tex]

Answer:

[tex]\sqrt{63}= 3 \sqrt7[/tex]

[tex]\sqrt{48} = 4\sqrt{3}[/tex]

[tex]\sqrt{75} = 5\sqrt{3}[/tex]

[tex]\sqrt{99} = 3 \sqrt{11[/tex]

[tex]\sqrt{92} = 2\sqrt{23[/tex]

[tex]\sqrt[3]{24} = 2 \sqrt[3]{3}[/tex]

[tex]\sqrt[3]{81} =3\sqrt[3]{3}[/tex]

[tex]\sqrt{128} = 8 \sqrt{2}[/tex]

[tex]\sqrt[3]{40} = 2 \sqrt[3]{5}[/tex]

[tex]\sqrt[3]{135} =3\sqrt[3]{5}[/tex]

Step-by-step explanation:

[tex]1.\ \sqrt{63[/tex]    

Express 63 as 9 * 7

[tex]\sqrt{63}= \sqrt{9 * 7[/tex]

Split:

[tex]\sqrt{63}= \sqrt{9} * \sqrt7[/tex]

[tex]\sqrt{63}= 3 * \sqrt7[/tex]

[tex]\sqrt{63}= 3 \sqrt7[/tex]

[tex]2.\ \sqrt{48[/tex]    

Express 48 as 16 * 3

[tex]\sqrt{48} = \sqrt{16*3}[/tex]

Split

[tex]\sqrt{48} = \sqrt{16}*\sqrt{3}[/tex]

[tex]\sqrt{48} = 4*\sqrt{3}[/tex]

[tex]\sqrt{48} = 4\sqrt{3}[/tex]

[tex]3.\ \sqrt{75[/tex]    

Express 75 as 25 * 3

[tex]\sqrt{75} = \sqrt{25*3}[/tex]

Split

[tex]\sqrt{75} = \sqrt{25}*\sqrt{3}[/tex]

[tex]\sqrt{75} = 5\sqrt{3}[/tex]

[tex]4.\ \sqrt{99[/tex]  

Express 99 as 9 * 11

[tex]\sqrt{99} = \sqrt{9} * \sqrt{11}[/tex]

Split

[tex]\sqrt{99} = 3 \sqrt{11[/tex]

[tex]5.\ \sqrt{92[/tex]

Express 92 as 4 * 23

[tex]\sqrt{92} = \sqrt{4} * \sqrt{23[/tex]

[tex]\sqrt{92} = 2* \sqrt{23[/tex]

[tex]\sqrt{92} = 2\sqrt{23[/tex]

[tex]6.\ \sqrt[3]{24}[/tex]    

Express 24 as 8 * 3

[tex]\sqrt[3]{24} = \sqrt[3]{8} * \sqrt[3]{3}[/tex]

Express 8 as 2^3

[tex]\sqrt[3]{24} = \sqrt[3]{2^3} * \sqrt[3]{3}[/tex]

[tex]\sqrt[3]{24} = 2 \sqrt[3]{3}[/tex]

[tex]7.\ \sqrt[3]{81}[/tex]

Express 81 as 27 * 3

[tex]\sqrt[3]{81} =\sqrt[3]{27}*\sqrt[3]{3}[/tex]

Express 27 as 3^3

[tex]\sqrt[3]{81} =\sqrt[3]{3^3}*\sqrt[3]{3}[/tex]

[tex]\sqrt[3]{81} =3\sqrt[3]{3}[/tex]

[tex]8.\ \sqrt{128}[/tex]    

Express 128 as 64 * 2

[tex]\sqrt{128} = \sqrt{64} * \sqrt{2}[/tex]

[tex]\sqrt{128} = 8 \sqrt{2}[/tex]

[tex]9.\sqrt[3]{40}[/tex]

Express 40 as 8 * 5

[tex]\sqrt[3]{40} = \sqrt[3]{8} * \sqrt[3]{5}[/tex]

[tex]\sqrt[3]{40} = \sqrt[3]{2^3} * \sqrt[3]{5}[/tex]

[tex]\sqrt[3]{40} = 2 \sqrt[3]{5}[/tex]

[tex]10.\ \sqrt[3]{135}[/tex]

Express 135 as 27 * 5

[tex]\sqrt[3]{135} =\sqrt[3]{27}*\sqrt[3]{5}[/tex]

Express 27 as 3^3

[tex]\sqrt[3]{135} =\sqrt[3]{27}*\sqrt[3]{5}[/tex]

[tex]\sqrt[3]{135} =3\sqrt[3]{5}[/tex]

Answer:

C. The conditional statement is false. There is at least one counterexample for the statement.  

Step-by-step explanation:

took the quiz

Answer:

38 degrees

Step-by-step explanation:

180 - (60 + 82) =

180 - 142 =

38 degrees

Hope that helps!

Answer:

BDE

or

EDB

Step-by-step explanation:

Make the marked angle, D, your center point. Find the two other points of the angle, E and B. write them in order, forwards and backwards.

Answer:

3/2, one solution.

Step-by-step explanation:

12(x-3)+18=4(2x-3)

12x-36+18=8x-12

12x-8x-18=-12

4x-18=-12

4x=-12+18

4x=6

x=6/4

simplify

x=3/2

Answer:

The correct option is a.

Step-by-step explanation:

It is given that Nell's mortgage is $50,150 at 10 percent for 30 years and she must pay $8.78 points per $1,000.

EMI on $1000 is $8.78, so EMI on $1 is

EMI on $1 = 8.78/1000 = 0.00878

EMI on $50150 is

EMI on $50150 = 0.00878 x 50150 = 440.317 = 440.32

Therefore the correct option is a.

Hope this help you! ^_^

Answer:

x = 3, y = 1

Step-by-step explanation:

By substitution since y = -2x + 7, substitute that for the 2nd y so

-2x +7 = 3x - 8, so x = 3, then substitute the 3 in any of the equations, so y = -2(3) + 7 is equal to 1

If you use elimination you can subtract the two equations from each other to get rid of the y so

y = -2x + 7

-y = -3x + 8

so 0 = -5x + 15, 5x = 15, x=3

Answer:

3n^2 (9+25n)

Step-by-step explanation:

[tex]\tt{}27n^{5} + 75 {n}^{3} [/tex]

[tex]\tt{} {3n}^{2} \times (9 {n}^{2} + 25)[/tex]

Answer:

It's answer C, as in the numbers below goes below the dividing point

Answer:

15,19,20,29,36

N=5

Median =n+1/2

=6/2

=3

Terfore 3rd absorbation is meadian

:. 20 is the answer

Answer:

Step-by-step explanation:

THERE ARE 147 STRAWBERRIES.

THE RATIO OF RASBERRIES TO STRAWBERRIES ARE 1:7

THEN,

THE AMOUNT OF RASBERRIES ARE 1/7 TIMES OF THE STRAWBERRIES.

SO,THERE ARE (147×1/7) or,21 RASBERRIES.

SO THE ANSWER IS: THERE ARE 21 RASBERRIES...

Answer:

the area of the shape is 7.14

Step-by-step explanation:

First, find the area of the square:

2 in x 2 in = 4 in

then to find the area of the semi- circles add them together to make a circle

To find the area of the circle, use:

pi x radius^2  

Since the diameter is 2 divide the diameter by 2 to get radius  

3.14 x 1^2 = 3.14

The circle is 3.14 plus 4 ( the square ) = 7.14

Answer:

Step-by-step explanation:

Add them

Answer:

A

Step-by-step explanation:

Add all the numbers, divide the number of seniors by the total, thats the answer.

Answer:

Step-by-step explanation:

Step-by-step explanation:

Question 1 (answer is C)

6 4

5 2

y=mx+b

4= 6m+b

2=5m +b

by subtracting the two equations

m= 2

4= 6(2)+b

b= 4-12

b= -8

y= 2x- 8

then the answer is C

Question 2

the answer is C

the answer is Cbecause the linear function has a power of (1)

Question 3(B)

m= -2

3 5

y=mx+b

5= 3(-2)+b

5= -6+b

b= 5+6

b= 11

y= -2x +11

the answer is (B)

Answer:

x= -10

Step-by-step explanation:

................

Answer:

1 foot = 12 inches

Step-by-step explanation:

Answer:

[tex]11 \: devided \: by \: 108 = \frac{11}{108} = \boxed{0.1018518519} \\while \to \\ 108 \: devided \: by \: 11= \frac{108}{11} = \boxed{9.8181818182} \\ [/tex]

Answer: 11 divided by 108 = 0.10185185185

108 divided by 11 = 9.81818181818

Step-by-step explanation:

Answer:

it's sideways please turn it so i can read it and help.

Step-by-step explanation:

Answer: 9.055

Step-by-step explanation:

The number between 9.05 and 9.06 will be 9.055.

A numeral system is a way of writing numbers; it's a way of mathematically notating a collection of numbers by utilizing a consistent set of digits or other symbols. In several numeral systems, the same set of symbols may represent various numbers.

Given numbers are 9.05 and 9.06. The number between 9.05 and 9.06 will be 9.055.

The number is also plotted on the number line between the numbers 9.05 and 9.06. The number line graph is attached with the answer below.

Therefore, the number between 9.05 and 9.06 will be 9.055.

To know more about the number system follow

https://brainly.com/question/24644930

#SPJ2

Answer:

Step-by-step explanation:

The consecutive even integers are (2n-2), (2n), and (2n+2), where n is an integer.

(2n-2) + (2n+2) = 36

4n = 36

n = 9

(2n-2) = 16

(2n) = 18

(2n+2) = 20

Answer:

100 inches

Step-by-step explanation:

15/6=2.5

40*2.5=100 inches

Mark as Branliest if you like the answer and want to be ansewered frequently within no time

Answer:

1. Similar 6:1

2. Not Similar

3. Similar 6:5

Step-by-step explanation:

Okay