How many workers will be needed to complete a task in 6 days, given that it takes 8 days for 3 workers to complete the same task?

Answer:

g=108

Step-by-step explanation:

Given:

The figure of a right angle triangle.

[tex]a=b[/tex]

Hypotenuse = [tex]9\sqrt{2}[/tex] in.

To find:

The missing lengths of the sides.

Solution:

In the given right angle triangle both legs a and b are equal, and hypotenuse is [tex]9\sqrt{2}[/tex] in.

Using Pythagoras theorem, we get

[tex]Hyponteuse^2=Base^2+Perpendicular^2[/tex]

[tex](9\sqrt{2})^2=(a)^2+(b)^2[/tex]

[tex]81(2)=(a)^2+(a)^2[/tex]                    [tex][\because a=b][/tex]

[tex]81(2)=2(a)^2[/tex]

Divide both sides by 2.

[tex]81=(a)^2[/tex]

Taking square root on both sides.

[tex]\pm \sqrt{81}=a[/tex]

[tex]\pm 9=a[/tex]

Side cannot be negative. So,

[tex]9=a[/tex]

Thus, the missing side lengths are a=9 in and b=9 in.

Therefore, the correct option is C.

Answer:

Step-by-step explanation:

Get two points and use slope formula

Points

Find the slope:

Answer:

James = £60, Ryan = £40 and Jill = £20

Step-by-step explanation:

James - 3, Ryan - 2 and Jill - 1

3 + 2 + 1 = 6

£120 / 6 = 20

Times 20 by each of the three numbers (3, 2 and 1)

3 x 20 = £60 (James)

2 x 20 = £40 (Ryan)

1 x 20 = £20 (Jill)

Answer:

James gets £60

Ryan gets £40

Jill gets £20

Step-by-step explanation:

Add up the ratio which would be 6 then divide it by the original sum which is £120 so the answer would be 20. You would then multiply 20 by each number so 20x3= 60. 20x2= 40. 20x1=20

All these should add up to your original sum and if they do you know you've done it right!

Answer:

24 / 5 laps

Step-by-step explanation:

Fraction of laps run = 4/5 laps

Number of times lap was run = 6

Fraction representing total laps run :

6 * (4/5)

= 24 / 5

Or

24 /5 = 4 4/5 laps

Answer:

$217.50

Step-by-step explanation:

$135 + (11*$7.50) = $217.50

Answer:

B

Step-by-step explanation:

26 students = 15 students + 11 students

135 for 1st 15, 7.50 for rest

135 + 7.50(11) = 217.50

Therefore, B

Answer:

77 degrees

Step-by-step explanation:

180 - 103 = 77

Hope that helps!

Answer:

The x = 130°

Because it is corresponding

Answer:

Efx=2300 may be it would help : )

Step-by-step explanation:

To find that u have to :

mass mid value(x) Number..(f) fx

10-29 19 32 608

30-39 9 38 342

40-49 9 64 576

50-59 9 35 315

60-69 9 22 198

70-99 29 9 . 261

Efx=2300

Answer:

AC line = DB line

Step-by-step explanation:

ac line is always larger that db line

Answer:

No

Step-by-step explanation:

No, because BA is the same side as EF and the difference is 5. But CA is the same side as ED and the difference is 7.5. All sides would have to increase or decrease by the same number to get to the other triangle and in this case they do not.

Answer:

Yes

Step-by-step explanation:

It is a right triangle. If a(57) squared plus b(76) squared equals c(95) squared, it is a right triangle

Answer:

turning point: (-3 , -16)

Step-by-step explanation:

y = x² + ax + b    pass(0,-7)(7,0)

(0)² + 0*a + b = -7     b= -7

(7)² + 7*a - 7 = 0       7a = 42    a = 6

 y = x² + ax + b = y = x² + 6x - 7 = (x+3)² - 16

(h,k): vertex          equation: y = a(x-h)² + k

h = -3     k=-16

Answer:

because they are congruent to the original angle

Step-by-step explanation:

they are congruent to the original triangle. nothing will change.

The two perpendicular lines will remain perpendicular because it should be congruent to the original angle.

The Two geometric figures should treated be congruent in the case when it should have coincided. Since the both perpendicular lines are dilated by the same factor also the same center should be used due to this, the two perpendicular lines should remain perpendicular.

Therefore, The two perpendicular lines will remain perpendicular because it should be congruent to the original angle.

Learn more about  lines here: https://brainly.com/question/24271130

Answer:

-1 < -1.5

Step-by-step explanation:

when using negative numbers, larger numbers will be smaller. so even tho 1.5 seems to be .5 bigger, it is negative, so it is .5 smaller

Answers:

Graph A is a function

Graph B is not a function

========================================================

Explanation:

To check if we have function or not, we apply the vertical line test. This test is where you ask yourself: "Is it possible to draw a single vertical line through more than one point on the curve?"

If the answer to that question is "yes it is possible", then we do not have a function. Graph B shows that we can draw a line through say x = 2 and have the vertical line intersect at points (2,2) and (2,4). The input x = 2 leads to multiple outputs y = 2 and y = 4 simultaneously. This is why graph B is not a function.

A function is only possible when any x input from the domain leads to exactly one y output in the range. Graph A is a function because we cannot draw a single vertical line to intersect through that curve more than once.

Answer:

I hope you understood

Answer:

28

Step-by-step explanation:

cross multiply

Answer and explanation:

The connection of the rope from the stake to the pole will form a triangle so that one side is the hypotenuse(the rope), another is the opposite side(the pole) and the other is the adjacent side(the distance from the stake to the pole).

The unknown side is the adjacent side which is the distance from the stake to the pole. To find an unknown side in a triangle in this form, we use the Pythagorean theorem.

Therefore c²=a²+b²

c=20ft

a= 7ft

b= unknown

So we use the formula to find unknown side(distance from stake to base of pole)

20²=7²+b²

400=49+b²

b²=400-49

b²= 351

b=√351

b= 18.735ft

Therefore distance from stake to base of pole = 18.735 feet

Answer:

3x+6 is inverse of 3x-6.it is a additive inverse and if we add both we get 0.

Answer:

6

Step-by-step explanation:

I'm sorry if it wrong.

Answer:

50

Step-by-step explanation:

Answer:

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

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (3, 7)

Point (9, 5)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

2 Gallons

Step-by-step explanation:

20.5ft x 16.4ft = 336.2

336.2 divided by 200= 168 gallons

Since you can not buy 1.68 gallons you will have to buy 2 galllons instead.

Answer:

only 1 and 2 are correct

Step-by-step explanation:

Here, we want to select appropriately

From the question, all we had to do is to make a subtraction; and that is;

3 5/12 -2 2/3

1. 2 8/12 can be reduced to 2 2/3; so the answer here is yes

2. 3 15/36 can be reduced to 3 5/12

and 2 24/36 can also be reduced to 2 2/3; so this is correct also

3. This is wrong

4. This is wrong

Step-by-step explanation:

the second equation should be multiplied by 9

Answer:

Add 7 to both sides

Step-by-step explanation:

The equation has to be just x = y

There cannot be another number on the same side as the variable

Now that we did that, the equation is 9x = 0

x = 0

Well, that was easy lol

Answer:

Step-by-step explanation:

Add 7 to both sides

9x = 0

Then divide by 9 both sides to get x by itself

x = 0

Answer:

y = 2/3x - 1

Step-by-step explanation:

that should be correct, hope this helps!

y = 2/3x - 1

hope this helps,, have a nice day :))

Answer:

the answer is c ...............

Answer:

It could be A or C because they are the same

Step-by-step explanation: