I thought of a number. I added one, divided by 3 and got 6. What was my number?

Answer:

Length of A=6

Breadth of A=24/6=4

Length of B=6

Breadth of B=12/6=2

Step-by-step explanation:

Total surface area: 36

Ratio is 2:1

So, 2x + 1x = 36

3x=36

x=36/3

x=12

2*12=24

1*12=12

So areas are 24 and 12 respectively

Now, we can say that the sides of the square will be same, 6 cm

6*6=36

so the length of both rectangles will be 6

Hence we can divide each area by 6 and find the breadth.

Length of A=6

Breadth of A=24/6=4

Length of B=6

Breadth of B=12/6=2

Stay safe and stay cool

Hope it helps you.

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Answer:

Multiply the 3*5

Step-by-step explanation:

x+3x -4.2

Substitute x=5

5 + 3*5 -4.2

PEMDAS states multiply first

Multiply the 3*5

5 + 15 -4.2

Answer:

a!

Step-by-step explanation:

yw

Answer: 8x²+4x-4

Step-by-step explanation:

(f+g)(x) is f(x)+g(x). Since we are given f(x) and g(x), we can directly add them together.

3x²-2x+4+5x²+6x-8                                  [combine like terms]

8x²+4x-4

Answer:

523 -61= 462

456-187=269

Step-by-step explanation:

subtract the last numbers first 3-1 which is 2 then 2-6 which is impossible so you borrow from 5 and add 10 to 2 which become 12-6 which is 6 the the first number has only 4 left because you borrowed from it which is 4 so 523-61= 462.

subtract the last number 6-7 it not possible because 6 is less than 7 so borrow from 5 then add 10 to 6 which become 16-7=9 then the second number you have 4-8 since you borrowed from 5, 4-8 is also not possible so borrow from 4 which become 14-8 which is 6 and the first number which is now 3- 1 which is 2 so all the result become 269

Answer:

∠BOC = 60°

Step-by-step explanation:

Given the following angles.

∠AOC=104°

∠AOB = (7x + 30)°

∠BOC= (9x + 42)°

Since all the angles have a common point at O, it can be inferred that;

∠AOC = ∠AOB + ∠BOC

104° = (7x + 30)° + (9x + 42)°

104° = 16x+72

16x = 104-72

16x = 32

x = 32/16

x = 2°

To get ∠BOC:

Since ∠BOC = 9x+42, we will substitute x = 2° into the equation to get the angle ∠BOC

∠BOC = 9(2) + 42

∠BOC = 18+42

∠BOC = 60°

Answer:

x = 33/5

Step-by-step explanation:

4x+x-15+3-8=13

Combine like terms

5x -20 = 13

Add 20 to each side

5x-20+20 = 13+20

5x =33

Divide by 5

5x/5 = 33/5

x = 33/5

Answer:

d. 15 square yard

Step-by-step explanation:

[tex]area \: of \: shape \\ = \frac{1}{2} \times base \times height \\ \\ = \frac{1}{2} \times 10 \times 3 \\ \\ = \frac{1}{2} \times 30 \\ \\ = 15 \: {yd}^{2} [/tex]

Answer:

[tex]3x - 22 = \frac{x}{4} [/tex]

When twenty two is subtracted from a number multiplied by three the result is the same as the number divided by 4.

Hope this helps you

Answer:

here is the answer

Step-by-step explanation:

statement- the result obtained when 22 is subtracted from 3 times of a number is one-fourth of the number.

situation- rahul sees the price of a toy he wants to buy. after two years he comes to the shop again to buy the product. he notices that the price has become thrice the original. the shopkeeper agrees to reduce an amount of 22 rupees and he pays one fourth of the original price to the shopkeeper and buys the producet. find the original price of the toy.

Answer:

To do that you must divide 4 by 100

Step-by-step explanation:

4 divided by 100 is 0.04

Answer:

4/100

Run two decimal places forward

that's

0.04

Hope this helps you

Answer:

69×420=28980

just use calculator

Step-by-step explanation:

i hope this will help you :)

Answer:

28,980

Step-by-step explanation:

Answer:

The function f(x) = 4e* when evaluated for f(2) is:

Step-by-step explanation:

Its slope must be m= f'(0).

f'(x) = 8e2x ⇒ m = f'(0) = 8

y - y1 = m(x - x1)

m = 8

y1 = 10

x1 = 0

cause

Answer:

7 hours

Step-by-step explanation:

The total amount is the flat fee plus the amount per hour times the number of hours

16 + 8h = 72

Subtract 16 from each side

16+8h-16 = 72 -16

8h = 56

Divide by 8

8h/8 = 56/8

h = 7

7 hours

Answer:

The equation is p = 8h+16

Mike rented a bike for 7 hours

Step-by-step explanation:

[tex]equation=8h+16\\Mike\\paid \\72\\\\72 = 8h+16\\Divide\\9=h+2\\Subtract\\7=h[/tex]

Hope it helps <3

Answer:

3/4

Step-by-step explanation:

To answer this question we must first calculate the area of GHJK:

Answer:

Step-by-step explanation:

Pls help me with my question roo

The graph of g(x) is g(x) = [tex]3^{x-6}[/tex]

A translation is a rigid transformation because it does not change the size or shape of the original figure. Translations are the simplest transformation in geometry and are often the first step in performing other transformations on a figure or shape.

Given that, graph of g(x) is the result of translating the graph of f(x) = 3ˣ, 6 units to the right.

Translation the graph of the function y = f(x) a units to the right gives the function y = f(x-a)

So, here, f(x) = 3ˣ will be transformed to g(x) = [tex]3^{x-6}[/tex]

Hence, the graph of g(x) is g(x) = [tex]3^{x-6}[/tex]

Learn more about translation, click;

https://brainly.com/question/12463306

#SPJ5

Answer:

D,xy=-12

Step-by-step explanation:

y=x²+x-2

x+y=1

or x+x²+x-2=1

x²+2x-3=0

x²+3x-x-3=0

x(x+3)-1(x+3)=0

(x+3)(x-1)=0

either x=-3

or x=1

when x=-3

x+y=1

-3+y=1

y=1+3=4

one solution is (-3,4)

xy=-3×4=-12

if x=1

1+y=1

y=0

second solution is (1,0)

xy=1×0=0

Answer:

d. Since fertilizer is in both data sets and is positively correlated to both tree height and fruit yield, it is like that tree height and fruit yield are also positively correlated.

Step-by-step explanation:

The correlation refers to the relationship between two or more variables i.e how they are interrelated to each other. It can be positive, negative, perfect, etc

As we can see in the figure that in both the data sets the fertilizer contains the same values which depict that they are positively correlated with respect to the height of tree and fruit yield that derives that the height of tree and fruit yield is also positively correleated

Here positive correlation means that the two variables moving in a similar direction i.e if one variable increased so the other is also increased

Therefore the option d is correct

Answer:

D

Step-by-step explanation:

I got it right on the test.

Trust me

Answer:

[tex]-7[/tex]

Step-by-step explanation:

[tex]5(x+9) = 10[/tex]

[tex]5x+45=10[/tex]

[tex]5x = -35[/tex]

[tex]x=-7[/tex]

Hope this helps.

Answer:

-7

Step-by-step explanation:

5(x + 9) = 10

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

...and is your order of operation.

First, divide 5 from both sides:

(5(x + 9))/5 = (10)/5

x + 9 = 10/5

x + 9 = 2

Next, isolate the variable x, by subtracting 9 from both sides:

x + 9 (-9) = 2 (-9)

x = 2 - 9

x = -7

x = -7 is your answer.

~

Answer:  a=4, b=16, c=12

Step-by-step explanation:

Use the intercept form: a(x - p)(x - q)  where p & q are the intercepts.

Given: p = -3, q = -1, and y-intercept (c) = 12

 a[x - (-3)][x - (-1)]

= a(x + 3)(x + 1)

= a(x² + 4x + 3)

= ax² + 4ax + 3a

y-intercept = 12

     3a = 12

       a = 4

   Substitute a = 4

    4x² + 4(4)x + 3(4)

=   4x² + 16x + 12

Answer:

Step-by-step explanation:

Let the ten friends represents the 10 letters ABCDEFGHIJ. If they must be divided into three teams with three people in each team and one field judge, the arrangement will become (ABC)(DEF)(GHI)J

This shows that ABC, DEF and GHI are the three teams and J is the chief judge. Since each groups are now a team, we can represent everyone in each teams with the same letter except the judge as shown;

(AAA)(BBB)(CCC)J where J is the judge

Since there are 10 friends in all and there are A, B and C are repeated three times, the arrangement can be done in the following way as shown;

[tex]\frac{10!}{3!3!3!1!}[/tex]

[tex]= \frac{10*9*8*7*6*5*4*3!}{3!*6*6*1}\\ = \frac{10*8*7*6*5}{1} \\= 16,800ways[/tex]

This shows that they can do it 16,800 number of ways

Answer:45 I think

Step-by-step explanation:

Answer:

k = 3

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Distance formula

[tex]\sqrt{ (0-4)^2 + (4-1)^2}\\\sqrt{16 + 9)}\\ \sqrt{25\\[/tex]

Answer:

i.) (-0.25, 0), (1.25, 0)

ii.) (0.5, 2), (1.5, 2)

Step-by-step explanation:

For i, it is asking for the roots of the quadratic, or where the graph crosses the x-axis.

For ii, it is asking for the x-values when y = 2.

Answer:

[tex]Y\approx 84^\circ $(to the nearest angle)[/tex]

Step-by-step explanation:

The lengths of the sides of the scalene triangle are 6, 11, and 12.

We want to use the law of cosines to find the largest angle.

Note that the largest angle is always opposite the largest side.

Therefore:

[tex]1. 12^2 = 11^2 + 6^2-2(11)(6)\cos(Y) \\\\2. 144 = 121 + 36-(132)\cos(Y) \\\\3. 144 = 157 - (132)\cos(Y) \\\\4. -13 = -(132)\cos(Y)\\\\\\5. \cos(Y) = \dfrac{-13}{-132} \\\\6. Y = \arccos \left ( \dfrac{13}{132}\right)\\\\7. Y=84.35^\circ\\\\8. Y\approx 84^\circ $(to the nearest angle)[/tex]

The largest angle is 84 degrees to the nearest angle.

Choice B

Choice D

Choice E

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

Explanation:

Use the triangle inequality theorem. This is the idea where adding any two sides must lead to a result larger than the third side; otherwise, a triangle is not possible. I recommend cutting out strings of paper of these lengths to confirm that you can make a triangle or not.

----------------------------------

For choice A, a triangle is not possible since the first two sides add to 1+1 = 2, but this isn't larger than the third side of 2 units. All we can do really is just form a straight line and not a triangle. We can rule choice A out.

----------------------------------

Choice B is a triangle. Specifically it is a 3-4-5 right triangle that is famous with the pythagorean theorem. Note how...

so adding any two sides of this triangle leads to the sum being larger than the third remaining side. Choice B is one of the answers.

----------------------------------

Choice C is not a triangle. We have 5+5 = 10 but that isn't larger than 11. We can rule this out.

----------------------------------

Choice D is a triangle since

any two sides sum to a value larger than the third side

----------------------------------

Choice E is a triangle. We have an equilateral triangle with all sides the same length, and all angles the same value (60 degrees). This is another answer.

----------------------------------

Choice F is similar to choice C. We have the first two sides add to something smaller than the third side (4+8 = 12 is smaller than 13). We can rule this out.

In the 5th year

For the first year, the salary is 1.2million = 1,200,000

For the second year, the salary is 1.2million + 75000 = 1,200,000 + 75,000 = 1,275,000

.

.

.

For the last year, the salary is 1.5million = 1,500,000

This gives the following sequence...

1,200,000 1,275,000  .   .   . 1,500,000

This follows an arithmetic progression with an increment of 75,000.

Remember that,

The last term, L, of an arithmetic progression is given by;

L = a + (n - 1)d           ---------------(i)

Where;

a = first term of the sequence

n = number of terms in the sequence (which is the number of years)

d = the common difference or increment of the sequence

From the given sequence,

a = 1,200,000                          [which is the first salary]

d = 75,000                               [which is the increment in salary]

L = 1,500,000                          [which is the maximum salary]

Substitute these values into equation (i) as follows;

1,500,000 = 1,200,00 + (n - 1) 75,000

1,500,000 - 1,200,000 = 75,000(n-1)

300,000 = 75,000(n - 1)

[tex]\frac{300,000}{75,000} = n - 1[/tex]

4 = n - 1

n = 5

Therefore, in the 5th year the maximum salary will be reached.

Answer:

90% Confidence Interval for the actual average weight of purses.

(4.7412 , 5.2588)

Step-by-step explanation:

Explanation:-

Given sample size 'n' = 60

mean of the sample x⁻ = 5 pounds

Standard deviation of the sample 'S' = 1.2 pounds

Level of significance = 0.10

90% Confidence Interval for the actual average weight of purses.

[tex](x^{-} - t_{\frac{\alpha }{2} } \frac{S}{\sqrt{n} } , x^{-} +t_{\frac{\alpha }{2} } \frac{S}{\sqrt{n} } )[/tex]

[tex](5 - 1.6711\frac{1.2}{\sqrt{60} } , 5 +1.671\frac{1.2}{\sqrt{60} } )[/tex]

( 5 - 0.2588 , 5 + 0.2588)

90% Confidence Interval for the actual average weight of purses.

(4.7412 , 5.2588)

Answer:

8 is the difference, and 19 and 11 are the numbers. Hope this helped!

Answer: The difference is 8.

Step-by-step explanation:

We will let l represent the larger number s represent the smaller number.

so we know that L + S =30  

Also  2L - 3S = 5  shows the relationship between the numbers.

Now we have two equations.  

L + S =30

2L - 3S = 5  solve using any method.

L + S =30  solve for L  and substitute it into the second equation.

L + S = 30

   -S     -S

L = 30 -S    

2(30-s) - 3s = 5  Distribute

60 - 2s - 3s = 5  combine like terms

60 -5s = 5

-60         -60

-5s = -55

s = 11  

We know the smaller number is 11 so to find the larger number  we will subtract 11 from 30.

30 -11 =  19  

The larger number is 19

so To find the difference we will subtract 11 from 19.

19 -11 = 8

Answer:

∆y = 95 ft

the vertical distance the shark travels is 95 ft

Step-by-step explanation:

Given;

Initial position y1= 80 ft below the surface of water = -80ft

Final Position y2 = 15 ft above the surface = +15ft

The vertical distance travelled by the shark is;

∆y = y2 - y1 = 15 - (-80) ft

∆y = 15 +80 ft

∆y = 95 ft

the vertical distance the shark travels is 95 ft

Answer:

Shaded area = 6^2 * ( pi/3 - sqrt(3)/2 )

= 6.52 square units (to 2 places of decimals)

Step-by-step explanation:

see solution by same author given in

https://brainly.com/question/17023327?answeringSource=feedPersonal%2FhomePage%2F2

(question 17023327)

Please refer to the diagram for additional letters and measures.

Let

r=radius (OA and PA) of each circle

Area of sector PAOB

= (60+60)/360 * pi * r^2

=pi*(r^2)/3

Area of triangle PAB

= 2* (r cos(60) * r sin(60) /2)

= 2* ((r/2) * r (sqrt(3)/2) /2)

= sqrt(3) * r^2 / 4

= r^2 * sqrt(3)/4

Area of segment AOB

= area of segment PAOB - area of triangle PAB

= r^2 * ( pi/3 - sqrt(3)/4 )

By symmetry, area of shaded area

= area of segment AOB  -  area of triangle AOB

= area of segment AOB  -  area of triangle PAB

= r^2 * ( pi/3 - sqrt(3)/4 )  -   r^2 * ( sqrt(3)/4)

= r^2 * ( pi/3 - 2*sqrt(3)/4 )

= r^2 * ( pi/3 - sqrt(3)/2 )

Since r = b, we substitute

Shaded area

= b^2 * ( pi/3 - sqrt(3)/2 )

Substitute b=6

area

= 6^2 * ( pi/3 - sqrt(3)/2 )

= 6.522197 square units