If AJKL ~ AMKN, find the value of x.

Answer: = 240 mph.

Step-by-step explanation:

Let x = speed of the plane.

t= time taken

As per given, we have

[tex]t=\dfrac{450}{x+30}\ \ \ ...(i)\\\\ t=\dfrac{350}{x-30}\ \ \ ...(ii)[/tex]    [Time = distance / speed]

From (i) and (ii), we get

[tex]\dfrac{450}{x+30}=\dfrac{350}{x-30}\\\\\Rightarrow\ 450(x-30)=350(x+30)\\\\\Rightarrow\ 450x-13500=350x+10500\\\\\Rightarrow\ 450x-350x=10500+13500\\\\\Rightarrow\ 100x=24000\\\\\Rightarrow\ x=240[/tex]

Hence, the speed of the plane = 240 mph.

Step-by-step explanation:

(x+7)(x+4)

x = -4 and -7

have a nice night

Answer:

Alternate forms:

(x + 4) (x + 7) = 0

(x + 11/2)^2 - 9/4 = 0

Solutions:

x = -7

x = -4

Step-by-step explanation:

HOPE THIS HELPSSS

Answer:

54.6

Step-by-step explanation:

29+58+15+129+75+22= 328

328÷6= 54.6666666667

round to the nearest tenth= 54.6

Answer:

5cm

Step-by-step explanation:

What exactly do you mean by x?

The value of x is 5 cm.

The Pythagoras theorem states that if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides.

The Pythagoras theorem equation is expressed as, c2 = a2 + b2, where 'c' = hypotenuse of the right triangle and 'a' and 'b' are the other two legs. Hence, any triangle with one angle equal to 90 degrees produces a Pythagoras triangle and the Pythagoras equation can be applied in the triangle.

example:

The hypotenuse of a right-angled triangle is 16 units and one of the sides of the triangle is 8 units. Find the measure of the third side using the Pythagoras theorem formula.

Given : Hypotenuse = 16 units

Let us consider the given side of a triangle as the perpendicular height = 8 units

On substituting the given dimensions to the Pythagoras theorem formula

Hypotenuse2 = Base2 + Height2

162 = B2 + 82

B2 = 256 - 64

B = √192 = 13.856 units

Given:

Two sides are 4 cm and 3 cm

Using Pythagoras theorem

x² = 4² + 3²

x² = 16+ 9

x² = 25

x=√25

x= 5 cm

Also, the range of x is in between 1 cm and 7 cm.

Learn more about pythagoras theorem here:

https://brainly.com/question/343682

#SPJ2

Answer:

I am guessing A or C.

Step-by-step explanation:

Hope this helps you :)

Answer:

A

Step-by-step explanation:

The answer is A. The initial weight is known so it can’t be mutipliy with a variable. We don’t know how many weeks he will lose weight, but we know that the goal is 228 and that he had planned to lose 2 pounds per week

so 2 multiply the weeks, the variable

Answer:

1.47058823529

Step-by-step explanation:

Round if needed

Answer:

Tim is gonna get diabetes >:(

Step-by-step explanation:

but your answer is .68 cents lol

Answer:

y=2x-2

Step-by-step explanation:

Answer: I believe the Big B is 169 and the perimeter is 52

Step-by-step explanation:

Answer:

a) The 95% confidence interval estimate of μ is (39.35, 42.5).

b) Second-year students tend to procrastinate more than first-year students

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 69 - 1 = 68

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 68 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 1.9955

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 1.9955\frac{6.85}{\sqrt{69}} = 1.65[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 41 - 1.65 = 39.35

The upper end of the interval is the sample mean added to M. So it is 41 + 1.65 = 42.65

The 95% confidence interval estimate of μ is (39.35, 42.5).

b. How does the confidence interval for the population mean score for second-year students compare to the confidence interval for first-year students of (35.447, 38.633)?

The confidence interval for second-year students had higher values both at the lower and the upper end of the interval, which means that they tend to procrastinate more than first-year students

Answer:

4.70

Step-by-step explanation:

there are 6 sides on a box

2 sides are 12 square feet (3*4), 2 sides are 15 square ft (3*5), and 2 sides are 20 square ft (4*5)

12*2+15*2+20*2=24+30+40=94 square feet

if each square foot costs $0.05 (I think that's what it says) then you would do 94*0.05= $4.70

so, your answer is $4.70

Not sure if this is right, but I tried

Answer:

I cant see the choices

Step-by-step explanation:

Answer:

The sin of 49 degrees is 0.75471.

Step-by-step explanation:

To obtain 49 degrees in radian multiply 49° by  pi/ 180° = 49/180pi. Sin 49degrees = sin (49/180 × pi) .

Answer:

you could just do 12/1 or let 8 turn into 24/3

Step-by-step explanation:

on step 1 we should do reciprocal

on step 2 we should multiply

on third step 3 we should divide

so the answer is 12

Answer:

D

Step-by-step explanation:

a b and c are not correct by looking at the first value

Answer:

Im guessing its D because i cant see all the options.

Step-by-step explanation:

its the graph that has two dots on 1, three dots on 2, one dot on 3, and four dots on 4.

Answer:

Step-by-step explanation:

Anything that is multiplied greater than 1 will be greater than what the other factor is. You are correct!

Answer:

B, 2 5/6 x 2 5/6

Step-by-step explanation:

This is the only answer that is greater than 2 5/6

Answer:

Slope = ⅓

Step-by-step explanation:

Slope (m) = change in y/change in x

Using two points on the line, (-5, 1) and (1, 3),

Change in y = 3 - 1 = 2

Change in x = 1 - (-5) = 6

Slope (m) = change in y/change in x = 2/6

Slope = 1/3

Answer:

Design and implement a plan that collects data.

Step-by-step explanation:

Answer:

Design and implement a plan that collects data.

Step-by-step explanation:

Looking at the answer choices, we can use the process of elimination:

1) Form a question that can be answered by data.

2) Design and implement a plan that collects data.

3) Analyze the data using graphical and numerical methods.

4) Interpret and compare the data.

1) The question is most likely already formed, as a survey cannot be conducted without a question or objective. Not 1.

2) A survey collects data.

3) This happens after the collection of data, or the survey. Not 3.

4) This also happens after the collection of data, or the survey. Not 4.

Answer:

the answer is option number b..

Answer:

60

Step-by-step explanation:

So, first we need to divide the miles(55) by the time(11).

This should look like:

55/11

=

5

This should get you 5. Now lets multiply the 5 by the total time(12).

This should now look like:

5x12

=

60

This should get you 60. This is the answer.

If you want to solve more of these, here is a step-by-step:

Lets try another example:

Bob the builder made a 5 story building in 8 hours. How many stories on a building can Bob make in 24 hours?

Lets start with step 1. Divide the 5(value) by the 8(first time).

You should get 5/8 which is a bit of a strange number:

0.625

Now lets do step 2. Take the new 0.625 value.

Now to step 3. Lets multiply that value by the 24(second time)

This should get you 0.625x24:

This will get you 15

So your answer IN THE EXAMPLE I MADE is:

15 stories

Hope this make sense and helps you with your math ;)

Answer:

106 is the correct answer

Answer:   9.397

Step-by-step explanation: c = a·sin(C)/sin(A) = 9.39693