2. ABCD is a square and P, Q are the midpoints of BC,CD respectively. If AP = a
and AQ = b. find in terms of a and b the directed line segments (i) AB (ii) AD
(iii) BD and (iv) AC.​

Answer:

[tex]0.7[/tex] is the probability that the piston chosen from Machine 1 is satisfactory and the piston chosen from Machine 2 is unsatisfactory

Step-by-step explanation:

The two events are independent of each other.

Hence the probability of choosing satisfactory piston from Machine 1 and unsatisfactory piston from Machine 2 is equal  probability of choosing satisfactory piston from Machine 1 + probability of choosing unsatisfactory piston from Machine 2

Substituting the given values we get

Probability of choosing satisfactory piston from Machine 1 and unsatisfactory piston from Machine 2 =[tex]\frac{174}{174 +116} + \frac{20}{180 +20}[/tex]

=[tex]\frac{174}{174 +116} + \frac{20}{180 +20}[/tex]

=[tex]= \frac{174}{290} + \frac{20}{200}\\= 0.6 + 0.1\\= 0.7[/tex]

Answer:

12

Step-by-step explanation:

i think this because 7 + 5 = 12 but i'm not quite sure if this is right to be honest I haven't masterd this question before.

Answer:

[tex](x,y) = (-30,10)[/tex]

Step-by-step explanation:

Given

[tex](x,y) = (60,-20)[/tex]

Required:

Determine a pair with a proportional relationship

A proportional relationship is:

[tex]k = \frac{y}{x}[/tex]

Where k is the constant of proportionality.

[tex](x,y) = (60,-20)[/tex]

So, we have:

[tex]k = \frac{-20}{60}[/tex]

[tex]k = -\frac{1}{3}[/tex]

This means that for a pair to have a proportional relation, k must be -1/3.

This is true for (c).

Where:

[tex](x,y) = (-30,10)[/tex]

So, we have:

[tex]k = \frac{10}{-30}[/tex]

[tex]k = -\frac{1}{3}[/tex]

Answer:

50°

Step-by-step explanation:

All quadrilaterals' interior angles sum to 360°:

(x + 15)° + (2x + 15)° + (3x - 20)° + x° = 360°

x + 15 + 2x + 15 + 3x - 20 + x = 360

7x + 10 = 360

7x = 360 - 10

7x = 350

x = 50°

Answer:

x = 5

Step-by-step explanation:

Since Q is the midpoint of PR,

PQ = QR

=> 3x + 2 = 7x - 18

=> 3x - 7x = -18 - 2

=> -4x = -20

=> x = -20/-4

=> x = 5

Hope it helps :)

Please mark my answer as the brainliest

Answer:

10 x 14 x 4 = 560

Step-by-step explanation:

You have to multiple all the numbers to get the area of a surface. Dont forget to include your measurements

Hope this helps

Answer:

y = -7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

4y + 4 = 2y - 10

Step 2: Solve for y

Answer:

[tex]y = - 7[/tex]

Step-by-step explanation:

1. Subtract 2y from both sides.

[tex]4y + 4 - 2y = - 10[/tex]

2. Simplify 4y + 4 - 2y to 2y + 4.

[tex]2y + 4 = - 10[/tex]

3. Subtract 4 from both sides.

[tex]2y = - 10 - 4[/tex]

4. Simplify -10 - 4 to -14.

[tex]2y = - 14[/tex]

5. Divide both sides by 2.

[tex]y = - \frac{14}{2} [/tex]

6. Simplify 14/2 to to 7.

[tex]y = - 7[/tex]

Therefor, the answer is, Y = -7

Answer:

Zero's are X = 2 and X = -7

Step-by-step explanation:

you would set the factorized parts equal to zero, as in x - 2 = 0 and x + 7 = 0, then solve for x, and whatever you get is where y will be zero

Answer:

zeros: x = 2 and x = -7

Step-by-step explanation:

use zero product property - set the polynomial equal to 0

(x-2)(x+7) = 0

then set each factor separately to 0:

x - 2 = 0                         x + 7 = 0

solve for x by adding 2 to both sides in the equation on the right, and subtracting 7 from both sides in the equation on the left

x = 2                               x = 7

Answer:

Thousands place

Step-by-step explanation:

47,298 is written below. The place value is written next to it:

4 - ten thousands place

7 - thousands place

2 - hundreds place

9 - tens place

8 - ones place

I hope this helps!

Answer: 343 ft^3

Step-by-step explanation:

To find the volume of a cube, the one side length is raised to the power of three whihc comes to 343 ft^3

Answer:

G

Step-by-step explanation:

9+(-3) = 6

Answer:

300 packages

Step-by-step explanation:

Answer:

4/25

Step-by-step explanation:

25 - 9 - 7 - 5 = 4

There are 4 purple marbles.

Out of the 25 marbles, 4 are purple so the probability of getting a purple is 4/25

9514 1404 393

Answer:

  1/3

Step-by-step explanation:

If the ratio is common, you can choose any successive numbers to compute it. Smaller numbers may be more familiar. The ratio is ...

  5/15 = 1/3

Answer: What is the complete question? Can you comment it?

Step-by-step explanation: I can’t help unless I know what the full question is. Sorry.

Answer:

b=0

Step-by-step explanation:

A=bh

11=b11

11-11=b-11

0=b

Answer:

one glass of milk = 15 carbs

one bar = 14 carbs

Step-by-step explanation:

let 'm' = one glass of milk

let 'b' = one snack bar

system of equations:

2m + 3b = 72

4m + 2b = 88

I used the elimination method and multiplied the 1st equation by -2

  -4m - 6b = -144

+  4m + 2b =  88

           -4b = -56

              b = 14

now solve for 'm'

2m + 3(14) = 72

2m + 42 = 72

2m = 30

m = 15

Answer:

50 - (50 * 0.20) = x

Step-by-step explanation:

Student in art class = 20% or 20/100 or 0.2

Student NOT in art class = 80% or 80/100 or 0.8

Total number of students = 100% or 100/100 or 1, which equivalent to 50 students

x = total number of students - 20%

= 50 - ( 50 x 0.2 )

= 50 - 10

= 40 students

Answer:

First doing it by mental math.

a. you do the same thing that you do when evaluating the expression but do it in your mind. First add the numbers before the decimal point and then add the numbers after decimal point. Then add the decimal where in the equation the decimal point lies. I got 13.0 or 13 when I did it in my mind.

b. Over we see that we have a negative number in the beginning and then positive number. You must be thinking that this is going to be hard to calculate it in your mind, but actually it is very easy. add 5 + 4.6 + 1 in your mind. You will get 10.6. Now subtract 10.6 - 5.6. You will get 5.

c. This is also easy. You are given a mixed number. What you will do is first solve the whole numbers in your mind (3, 4, 1). 3 - 4 + 1 = 0. Now you are only left with fraction. Solve the fractions in your mind. This is a trick that I use that doesn't work in all fraction. Sometimes I will have to solve it on paper, but sometimes I can just use my mind to solve. If you see in the equation you have 2 fractions with same denominator. So, add 1/6 + 5/6 = 1. Now subtract 1 - 3/4. It will give you 1/4.

Now let us solve it on paper. I have attached a picture of it.

Answer:

The two events are not independent

Step-by-step explanation:

Two events are said to be independent only when the change in one event affect the other event.

Here the two given events are not independent.

Band weathers such as heavy rainfall, snowfall etc. leads to failure of traffic management system and thereby causes heavy traffic. This is easily seen in all major urban cities.

Hence, the two events are not independent as the traffic is affected by the weather conditions.

Answer:

m∠B = [tex]97^{o}[/tex].

Step-by-step explanation:

Since the three sides of the triangle are given, then we apply cosine rule.

[tex]b^{2}[/tex] = [tex]a^{2}[/tex] + [tex]c^{2}[/tex] - 2ac Cos B

But, a = 660 cm, b = 680 cm, and c = 100 cm.

So that;

[tex]680^{2}[/tex] = [tex]660^{2}[/tex] + [tex]100^{2}[/tex] -2(660 x 100) Cos B

462400 = 435600 + 10000 - 132000 Cos B

462400 = 445600 - 132000 Cos B

132000 Cos B = 445600 - 462400

                        = -16800

Cos B = [tex]\frac{-16800}{132000}[/tex]

         = -0.1273

B = [tex]Cos^{-1}[/tex] -0.1273

  = [tex]97^{o}[/tex]

Thus, measure of ∠B is [tex]97^{o}[/tex].

Answer:

M∠B = 97 degrees

Step-by-step explanation:

Answer: y= -4x/3 - 4/3

Step-by-step explanation:

The equation of the line in the slope-intercept form is y=3x4−32.

The slope of the perpendicular line is negative inverse: m=−43.

So, the equation of the perpendicular line is y=−4x3+a.

To find a, we use the fact that the line should pass through the given point: −4=(−43)⋅(2)+a.

Thus, a=−43.

Therefore, the equation of the line is y=−4x3−43.

Answer:

Step-by-step explanation:

y=mx+b

3x-4y=6

4y=3x-6

y=(3x-6)/4

So the slope, m, is 3/4

For lines to be perpendicular m1(m2)=-1, in this case

3m/4=-1

m=-4/3 so our line so far is

y=-4x/3+b, using point (2,-4) we can solve for the y intercept or b

-4=-4(2)/3+b

b=-4/3 so

y=(-4x-4)/3

Answer:

Answer is in picture

Step-by-step explanation:

Hope it is helpful.......

Answer:

square root of

Answer:

The answer is A

Step-by-step explanation:

I just took the test and it was the answer!

The equation for the increase in length and width of the rectangular pig pen is x² + 18x - 88 = 0.

The correct option is (A).

The area is the area occupied by a two-dimensional flat surface. It has a square unit of measurement.

As per the given data:

The dimensions for the pig pen Jenna has is given.

The area of the pig pen is to be increased to 168 m² by increasing the length and width by the same amount.

Length of the rectangular pig pen = 10 m

Width of the rectangular pig pen = 8 m

Now, let's say that the length and width of the pig pen is increased by x m.

length = 10 + x

width = 8 + x

The expression for the area of the pig pen will be:

Area = length × width

168 = [10 + x][8 + x]

168 = 80 + 10x + 8x + x²

x² + 18x - 88 = 0

The equation for the increase in length and width of the rectangular pig pen is x² + 18x - 88 = 0.

Hence, The equation for the increase in length and width of the rectangular pig pen is x² + 18x - 88 = 0.

To learn more about surface area, click:

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