In ΔKLM, the measure of ∠M=90°, the measure of ∠K=25°, and MK = 15 feet. Find the length of KL to the nearest tenth of a foot.

Answer:

Step-by-step explanation:

B im pretty sure hope its right

9514 1404 393

Answer:

  56.8 in

Step-by-step explanation:

The side length (s) can be found using the Pythagorean theorem. The short leg of the right triangle is 17/2 = 8.5 inches.

  8.5^2 + 18^2 = s^2

  s = √396.25 ≈ 19.906 . . . inches

Then the perimeter is ...

  2 × 19.9 in + 17 in = 56.8 in

Answer:

56.8

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

A regular quadrilateral is a square.

The sum of the exterior angles of a polygon is always

360 degrees

Therefore a quadrilateral has four exterior angles making the individual exterior angles

360 over 4=90 degrees

Hope this helps plz like and brainly :D

much would be appreciated <3

Answer:

30

Step-by-step explanation:

x + 2x + 3x = 180 (the total angle of a triangle)
6x = 180
x = 180 : 6 = 30

Answer:

x = 30°

2x = 60°

3x = 90°

Step-by-step explanation:

Internal angles of a triangle sum 180°

Then:

x + 2x +3x = 180

6x = 180

x = 180/6

x = 30°

2x = 60°

3x = 90°

Answer:

Rounding to tenths

E: 56.8 %

F: 48.8 %

G: 44.9 %

H: 50.4 %

Step-by-step explanation:

Hope this helps!

Answer:

50.4 percent is f

Step-by-step explanation:

and the steps is calculate it

Answer:

9460

Step-by-step explanation:

The simple interest for principal of 640 and rate of 3% and time of 2 years is $3.84

The Simple interest the end of 2 years is calculated using the simple interest formula

The formula is stated as

Simple interest = Principal *  time *  rate / 100

In the problem the give data include

principal = $640

rate= 3%

time = 2 years

plugging in the values

Simple interest = Principal *  time *  rate / 100

Simple interest = 640 * 2 * 3 /100

Simple interest = 3840 / 100

Simple interest = $3.84

The simple interest  is $3.84

Learn more on simple interest at:

https://brainly.com/question/29785550

#SPJ1

Answer:

E 16 cm

5cm + 5cm = 10cm

3cm + 3cm = 6cm

10cm + 6cm

= 16 cm

5×3=15 so 15 is your answer

Answer:

y=x-2

Step-by-step explanation:

I graphed the equations on desmos and saw which one had those ordered pairs on the line.

The inverse of the function is y = 3/(x + 2) - 1

From the question, we have the following parameters that can be used in our computation:

y=3/(x+1) -2

Rewrite as

y = 3/(x + 1) - 2

Swap the positions of x and y

So, we have the following representation

x = 3/(y + 1) - 2

Next, we make y the subject of the formula

This gives

3/(y + 1) = x + 2

Take the inverse of both sides

(y + 1)/3 = 1/(x + 2_

So, we have

y = 3/(x + 2) - 1

Hence, the inverse is y = 3/(x + 2) - 1

Read more about inverse function at

https://brainly.com/question/3831584

#SPJ1

Answer:

m = 2

Step-by-step explanation:

[tex]\frac{13-5}{6-2}=\frac{8}{4} =\boxed{2}[/tex]

Hope this helps.

Answer:

A

Step-by-step explanation:

its just a definition

Answer:

A

Step-by-step explanation:

The x and y coordinates are both positive. The clue of how to solve this is just to look at the x and y axis.

If x>0 (x is positive) then you are going right from (0,0).

If y >0 (y is positive) then you are going up.

Which quadrant does that?

Use an example

(4,2)

What quadrant are you in? If you said 1, you are correct. So the answer is A.

Answer:

The equation of the line is: [tex]y = 0.6x + 0.6[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept.

Two points:

We have these following two points in this exercise:

x = -6, y = -3, so (-6,-3)

x = 4, y = 3, so (4,3)

Finding the slope:

Given two points, the slope is given by the change in y divided by the change in x.

Change in y: 3 - (-3) = 3 + 3 = 6

Change in x: 4 - (-6) = 4 + 6 = 10

So

[tex]m = \frac{6}{10} = 0.6[/tex]

Then

[tex]y = 0.6x + b[/tex]

Finding b:

We replace one of the points in the equation to find b. I will use (4,3).

[tex]y = 0.6x + b[/tex]

[tex]3 = 0.6*4 + b[/tex]

[tex]2.4 + b = 3[/tex]

[tex]b = 0.6[/tex]

The equation of the line is: [tex]y = 0.6x + 0.6[/tex]

Solution :

Along the edge [tex]$C_1$[/tex]

The parametric equation for [tex]$C_1$[/tex] is given :

[tex]$x_1(t) = 9t , y_2(t) = 0 \ \ for \ \ 0 \leq t \leq 1$[/tex]

Along edge [tex]$C_2$[/tex]

The curve here is a quarter circle with the radius 9. Therefore, the parametric equation with the domain [tex]$0 \leq t \leq 1 $[/tex] is then given by :

[tex]$x_2(t) = 9 \cos \left(\frac{\pi }{2}t\right)$[/tex]

[tex]$y_2(t) = 9 \sin \left(\frac{\pi }{2}t\right)$[/tex]

Along edge [tex]$C_3$[/tex]

The parametric equation for [tex]$C_3$[/tex] is :

[tex]$x_1(t) = 0, \ \ \ y_2(t) = 9t \ \ \ for \ 0 \leq t \leq 1$[/tex]

Now,

x = 9t, ⇒ dx = 9 dt

y = 0, ⇒ dy = 0

[tex]$\int_{C_{1}}y^2 x dx + x^2 y dy = \int_0^1 (0)(0)+(0)(0) = 0$[/tex]

And

[tex]$x(t) = 9 \cos \left(\frac{\pi}{2}t\right) \Rightarrow dx = -\frac{7 \pi}{2} \sin \left(\frac{\pi}{2}t\right)$[/tex]

[tex]$y(t) = 9 \sin \left(\frac{\pi}{2}t\right) \Rightarrow dy = -\frac{7 \pi}{2} \cos \left(\frac{\pi}{2}t\right)$[/tex]

Then :

[tex]$\int_{C_1} y^2 x dx + x^2 y dy$[/tex]

[tex]$=\int_0^1 \left[\left( 9 \sin \frac{\pi}{2}t\right)^2\left(9 \cos \frac{\pi}{2}t\right)\left(-\frac{7 \pi}{2} \sin \frac{\pi}{2}t dt\right) + \left( 9 \cos \frac{\pi}{2}t\right)^2\left(9 \sin \frac{\pi}{2}t\right)\left(\frac{7 \pi}{2} \cos \frac{\pi}{2}t dt\right) \right]$[/tex]

[tex]$=\left[-9^4\ \frac{\cos^4\left(\frac{\pi}{2}t\right)}{\frac{\pi}{2}} -9^4\ \frac{\sin^4\left(\frac{\pi}{2}t\right)}{\frac{\pi}{2}} \right]_0^1$[/tex]

= 0

And

x = 0,  ⇒ dx = 0

y = 9 t,  ⇒ dy = 9 dt

[tex]$\int_{C_3} y^2 x dx + x^2 y dy = \int_0^1 (0)(0)+(0)(0) = 0$[/tex]

Therefore,

[tex]$ \oint y^2xdx +x^2ydy = \int_{C_1} y^2 x dx + x^2 x dx+ \int_{C_2} y^2 x dx + x^2 x dx+ \int_{C_3} y^2 x dx + x^2 x dx $[/tex]

                        = 0 + 0 + 0

Applying the Green's theorem

[tex]$x^2 +y^2 = 81 \Rightarrow x \pm \sqrt{81-y^2}$[/tex]

[tex]$\int_C P dx + Q dy = \int \int_R\left(\frac{\partial Q}{\partial x} - \frac{\partial P}{\partial y}\right) dx dy $[/tex]

Here,

[tex]$P(x,y) = y^2x \Rightarrow \frac{\partial P}{\partial y} = 2xy$[/tex]

[tex]$Q(x,y) = x^2y \Rightarrow \frac{\partial Q}{\partial x} = 2xy$[/tex]

[tex]$\left(\frac{\partial Q}{\partial x}-\frac{\partial P}{\partial y} \right) = 2xy - 2xy = 0$[/tex]

Therefore,

[tex]$\oint_Cy^2xdx+x^2ydy = \int_0^9 \int_0^{\sqrt{81-y^2}}0 \ dx dy$[/tex]

                            [tex]$= \int_0^9 0\ dy = 0$[/tex]

The vector field F is = [tex]$y^2 x \hat i+x^2 y \hat j$[/tex]  is conservative.

Answer: -3√3

Step-by-step explanation: Factor out the square roots from each term

2√54 -> 6√6

√27 -> 3√3

3√24 -> 6√6

The equation becomes 6√6 - 3√3 - 6√6

By combining like terms we can eliminate 6√6

This leaves us with -3√3 as the simplified solution

Answer:

-3√3

Step-by-step explanation:

do the hcf method to get all the values outside

hcf of 54= 2, 3, 3, 3

hcf of 27 = 3, 3, 3

hcf of 24 = 2,2,3,3

2✓2×3×3×3 - √3,3,3 - 3√2,2,3,3

take out the common factor and multiply it with the value we have outside leave it if it doesnt have a number

2×3√2×3 - 3✓3 -3×2×3

6√6 - 3√3 - 3×2×3

6×3 - 3√3 - 3×2×3

18-18 - 3✓3

-3√3

The side of  the initial cube is 42 cm.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Rick melted a cube and made a cone with it.

The amount of melted liquid left after making the cone was 49 cm

6/7 of the melted liquid was used in making the cone

We need to find the side of the initial cube.

Cube =a³

Le us the whole liquid be 1.

6/7 of the melted liquid was used in making the cone

1/6/7=7/6 is the left out liquid after making cone.

7/6x=49

x=42 cm

Hence, the side of  the initial cube is 42 cm.

To learn more on Three dimensional figure click:

https://brainly.com/question/2400003

#SPJ1

The sugar required to make each batch of brownies is 3/26 cups

From the question, we have the following parameters that can be used in our computation:

Brownies = 4 1/3 batches

Sugar = 1/2 cups

The amount of sugar required to make each batch of brownies is then calculated as

Sugar needed = Sugar/Brownies

Substitute the known values in the above equation, so, we have the following representation

Sugar needed = (1/2)/(4 1/3)

Evaluate

Sugar needed = 3/26

Hence, the amount is 3/26 cups

Read more about unit rate at

https://brainly.com/question/19493296

#SPJ1

Answer:

[tex]\bold{\boxed{R Intersection S = {20} }}[/tex]

Step-by-step explanation:

The intersection in a sample is the reoccurring numbers that are present.

Let's list the two samples:

R = {10, 15, 20}

S = {20, 25}

The number 20 is present in both samples, so -

R Intersection S = {20} !

Hope it helps! :)

Answer:

3 is 20% of 15

Step-by-step explanation:

These two perpendicular bisectors will meet at (1, 5, 1). These are the coordinates of the triangle's circumcenter.

the triangle's circle's center. It is the point where the "perpendicular bisectors," or lines parallel to the centre of both sides, cross.

The intersection of any two perpendicular bisectors of any two triangle sides is known as the circumcenter of a triangle ABC.

The equation y=1 is the perpendicular bisector of sides B(3,0) and C(3,2). Because AB's midpoint is at 3,1 and its slope is unknown. The perpendicular bisector has zero slope. The equation for such a line is y=y1.

The equation for the perpendicular bisector of A(0,0) and B is also x=1.5 (3,0). The reason is that AB has a midpoint of zero slope and (1.5,0). The perpendicular bisector's slope won't be clearly defined. The equation for such a line is x=x1.

These two perpendicular bisectors will meet at (1, 5, 1). These are the coordinates of the triangle's circumcenter.

To know more about circumcenter visit:

brainly.com/question/16276899

#SPJ1

Answer:

3t^3-2t^2

Step-by-step explanation:

Multiply the terms inside the parenthesis by the term outside.

In this case its t.

answer:

h

Step-by-step explanation:

if there is more blues and green cards than purple there is a lower chance of getting purple

Answer:

[tex]K)~\frac{3}{16+x}[/tex]

Step-by-step explanation:

[tex]green~ cards=4[/tex]

[tex]blue ~cards=9[/tex]

[tex]purple~ cards=3[/tex]

[tex]pink ~cards=x[/tex]

[tex]total:-[/tex] 4×9×3×x

→ [tex]16+x[/tex]

[tex]p(x)=\frac{3}{16+x}[/tex]

[tex]Answer:K[/tex]

[tex]------------[/tex]

hope it helps...

have a great day!!

Answer:

Since [tex]P(A)P(B) \neq P(A \cap B)[/tex], these two events are not independent.

Step-by-step explanation:

Independent events:

Two events, A and B, are independent if:

[tex]P(A \cap B) = P(A)*P(B)[/tex]

In this question:

Event A: Male

Event B: Independent

Probability of male:

20 + 15 + 17 = 52 out of (20 + 15 + 17 + 18 + 12 + 7) = 89.

So

[tex]P(A) = \frac{52}{89}[/tex]

Probability of favoring independent:

20 + 18 = 38 out of 89. So

[tex]P(B) = \frac{38}{89}[/tex]

Probability of male and favoring independent:

20 out of 89. So

[tex]P(A \cap B) = \frac{20}{89}[/tex]

Test if they are independent:

[tex]P(A)P(B) = \frac{52}{89}*\frac{38}{89} = \frac{52*38}{89*89} = 0.24946[/tex]

[tex]P(A \cap B) = \frac{20}{89} = 0.22472[/tex]

Since [tex]P(A)P(B) \neq P(A \cap B)[/tex], these two events are not independent.

Answer:

A. 13

Step-by-step explanation:

What we are given....

If complementary angles add up to equal 90° and ∠A and ∠B are complementary to each other

Then 26 + x + 38 + x = 90

                       ^ ( Note that we just created an equation that we can use to                              solve for x )

Now its just basic algebra

26 + x + 38 + x = 90

step 1 combine like terms

26 + 38 = 64

x + x = 2x

we now have 64 + 2x = 90

step 2 subtract 64 from each side

64 - 64 cancels out

90 - 64 = 26

we now have 26 = 2x

step 3 divide each side by 2

26 / 2 = 13

2x / 2 = x

we're left with x = 13

The value x form the given complementary angles is 13°.

Given that, m∠A = 26° + x and m∠B = 38° + x.

Two angles are said to be complementary angles if they add up to 90 degrees. In other words, when complementary angles are put together, they form a right angle (90 degrees).

Here, m∠A + m∠B =90°

⇒ 26° + x+38° + x =90°

⇒ 2x+64° =90°

⇒ 2x =90°-64°

⇒ 2x =26°

⇒ x = 13°

Therefore, the value x form the given complementary angles is 13°.

To learn more about the complementary angles visit:

https://brainly.com/question/5708372.

#SPJ2

Answer:

the average no of customers in the system is 0.9

Step-by-step explanation:

Given that

The average number of arrivals is 6 per minute

And, the average service rate of a single server is 10 minutes

We need to find out the average no of customers in the system

So,

Lq = rho^2 / 1 ÷ rho

= (6 ÷ 10)^2 ÷ (1 - 6 ÷ 10)

= 36 ÷ 100  ×  10 ÷ 4

= 0.9

Hence, the average no of customers in the system is 0.9

Answer:

40 Balcony/15 floor

Step-by-step explanation:

A and C are out instantly cause the amount of tickets sold doesnt equal 55 and B is out cause 50x5=250 and 5x10=50 which totals to 300 not 350