Simplify the expression.

Answer:

40 meters²

Step-by-step explanation:

Formula for the area of a triangle is [tex]\frac{1}{2} *b*h[/tex]

[tex]\frac{1}{2} *10*8=\\5*8=\\40[/tex]

The area of the triangle is 40 m²

Answer: 108π inches squared

Step-by-step explanation:

Formula : Area of sector = [tex]\dfrac{\theta}{360^{\circ}}\times\pi r^2[/tex]

where , r= radius and [tex]\theta =[/tex]

Given : A certain car's windshield wiper has a total length of 22 inches. As the wiper pivots it clears a sector with a central angle of 120 degrees.

If only 18 inches of the wiper cleans the windshield, then we take radius of the range of wiper cleaining = 18 inches

The area of the windshield that is wiped during each swing = Area of the sector made by wiper of  with a central angle of 120 degrees.

[tex]=\dfrac{120}{360}\times\pi (18)^2\\\\=\dfrac{18^2}{3}\pi=\dfrac{18\times6}{1}\pi=108\p\text{ inches}^2[/tex]

Hence, the area (in exact form) of the windshield that is wiped during each swing is 108π inches squared.

Answer:

PLEASE GIVE BRAINLIEST AND THANKS

-0.00068587105

Step-by-step explanation:

Answer:

Length = ( x - 1 ) ( m)

Step-by-step explanation:

Area of rectangle is:

A(r) = l*w ( in m² )    where l is the length in m   and w is the width in m

If we have:  A(r)  =  x² - 6*x  - 7 (m²), as an area of a rectangle, then we can factoring the equation, and get the rectangle dimensions, then:

x²  - 6*x  -  7  =  ( x  - 1 ) * ( x - 7 ) = area of the rectangle in m²

As problem statement establishes that ( x - 7 ) ( m)  is the width, then

( x - 1 ) ( m) is the length

Answer:

It should be 72 degrees

Step-by-step explanation:

angle j and h are the same so you just add 63 to 45 and once you get 108, just subtract that from 180 degrees which is the full measure of the triangle.

Answer:

4/3x -5

Step-by-step explanation:

Answer:

887.74

Step-by-step explanation:

Answer:

1) I think its helps to rename a function as tenths or hundredths when you want to write the decimal equivalent because for example if you wanted to rename this function 6/25 to 24/100 you can know were you put it in decimal (0.24).

2) It was a good idea to change 4/16 to 1/4 to determine a decimal equivalent because it would be easier to put 1/4 in a decimal equivalent.

3) You write the decimal 0.12 as 3/25

4) I dont know...sorry that I cant help with this...I dont know the answer to this question

Step-by-step explanation:

Answer:

From the estimation,

£10.7 = €14.27

Step-by-step explanation:

Given the conversion rate between the pounds and the euro currencies, we are to convert an amount in pounds to euros

From the estimate;

3 pounds = 4 euros

Thus;

10.7 pounds = x euros

We are using x since the value in euros is not known presently.

To move from here, we simply cross multiply.

That would give;

3 * x = 4 * 10.7

3x = 42.8

x = 42.8/3

x = 14.2666

x = €14.27

Answer:

Step-by-step explanation:

[tex]4x^2-12x+9=0\\4*9=36\\6+6=12\\6*6=36\\4x^2-(6+6)x+9=0\\4x^2-6x-6x+9=0\\2x(2x-3)-3(2x-3)=0\\(2x-3)(2x-3)=0\\(2x-3)^2=0[/tex]

Answer:

[tex](x-\frac{3}{2}) ^{2}[/tex]

Step-by-step explanation:

When we complete the square, we take the b value from the equation:

a[tex]x^{2}[/tex] + bx + c = 0, and plug it into [tex](\frac{b}{2})^{2}[/tex] ..

First step is to make the coefficent of x go away. By dividing by 4.

x^2 - 3x + 9/4 = 0

now plug into the equation

(-3/2)^2 = 9/4 <-- because the square is parantheses, the negative goes away. Notice how there is a 9/4 already in our equation, meaning we dont have to do anything and simply can find the answer!

(x - 3/2)^2 = 0

Answer:

no they're not

Step-by-step explanation:

4(x+2) = 4x +8

4x+2= 4x+2

Answer:

No they are not equivalent

First we would have to solve 4(x+2)

In order to solve this we need to multiply. So 4×X is equal to 4x. 4×2=8 Therefore when solving Its 4x+8..and 4x+8 is not equivalent to 4x+2

Answer:

$125.97

Step-by-step explanation:

They have given you everything you need.

p = 100

r = 0.08

t = 3

B = final amount

B = 100(1 + 0.08)^3

B = 125.9712

since you're dealing with money you have to round to the nearest cent

B = $125.97

Please brainlist if I helped

Answer:

A. 14

Step-by-step explanation:

The smallest number of socks to pull out to be assured that we get a blue  pair of socks is 14. (Option A)

If there are n objects to be putted into m containers such that n > m, then at least one container will have two objects.

Suppose the worst is happening when you're pulling the socks out.

The total number of colors is 2.

Now the worst case is when the pair is not completed until we draw all the yellow color.

That will happen at 12 + 1 = 13 draws (pair needs 2 blue, and the worst will happen that in initial trials, the yellow socks are not letting the pair get completed, which means at max 1 blue sock and rest 12 socks are drawn, which will get at max 13 draws).

But now any more sock pulled will have to be falling into the blue color category we already have. (this is exactly the pigeonhole principle's use).

After 13 times, you will start getting blue socks.

Since you need a pair of blue socks, you need to pull out socks 1 more time.

So total 14 pulls were required if the conditions were like resisting us at maximum.

In most of the cases, we might not need those 14 pulls, but 14 pulls is the minimum number that will assure you that the socks pulled have a blue pair of socks.

If the conditions are not worst, we would be lucky and that

Thus, the smallest number of socks to pull out to be assured that we get a blue  pair of socks is 14. (Option A is correct).

Learn more about pigeonhole principle and socks pulling here:

https://brainly.com/question/8505936

Answer:

21

Plz mark me brainliest

Step-by-step explanation:

Answer:21 students were on each bus.

Step-by-step explanation:

215-5=210

210/10=21 the number of students divided by the number of buses

Answer:

9) v= -12  

10) n= -7

Step-by-step explanation:

9) v - 15 = -27

Add 15 from both sides

i.e. v - 15 + 15 = -27 + 15

v = -12

10) n + 16 = 9

Subtract 16 from both sides

i.e. n + 16 - 16 = 9 - 16

n = -7

Hope this helps!!!

Answer:

Step-by-step explanation:

Given that  : The average marks of candidates in an aptitude test was 128.5 with a standard deviation of 8.2. Three scores extracted from the test are; 148, 102 and 152.

The objective here is to determine the average of the extracted scores that are the extreme values (outliers)

NOW:

The average marks of candidates in an aptitude test was 128.5

i.e the Mean = 128.5

Standard Deviation = 8.2

outlier will be outsides;

then the range  will be    Mean  ± 3 × SD

= 128.5 ± 8.2 × 3

= 128.5 ± 24.6

Range is  ( 103.9  ,  153.1)

102 is outside this range

Hence, the average of the extracted scores that are extreme values (outliers) will be 102 only

Answer:penny

Step-by-step explanation:

Answer:

I would choose option two. Option one will make me a total of $30,000. Option two will make a total of $5,368,709.12.

Answer:

V = 3×5×4  cm^3

Step-by-step explanation:

The solid used in the question is assumed to be a rectangular box.

The volume of a rectangular box is;

Volume = length × Breadth × height

Given the dimensions of the box as;

4cm by 5cm by 3cm.

The volume V of the box can then be written as the product of the dimensions;

V = 3cm × 5cm × 4cm

V = 3×5×4 cm^3

Answer:a

Step-by-step explanation:

Answer: the inner semi circle

Step-by-step explanation:

It Depends, but I think the outer semi circle is easier to use.

Answer:

idk

Step-by-step explanation:

Answer:

-4/5

Step-by-step explanation:

over 4 to the left up 5

Answer:

Step-by-step explanation:

1) 7x - 14 =  2x + 11    {Add 14 to both sides}

  7x - 14 +14 = 2x + 11  +14

7x  = 2x + 25

7x - 2x = 2x + 25 - 2x

5x = 25           {Divide both sides by 5}

5x/5 = 25/5

x = 5

2) 6x + 5 = 3x + 14

6x = 3x + 14 - 5

6x = 3x + 9

6x - 3x = 9

3x = 9

x = 9/3

x = 3

3) 12x + 5 = 4x +37

12x = 4x + 37 - 5

12x = 4x + 32

12x - 4x = 32

8x = 32

x = 32/8

x = 4

4) 3x + 8 = 2x + 21

3x  = 2x + 21 - 8

3x = 2x + 13

3x - 2x = 13

x = 13

5)  5x + 3 = x + 11

5x = x + 11 -3

5x = x + 8

5x - x = 8

4x = 8

x= 8/4

x = 2

Answer: Step-by-step explanation:

1) 7x - 14 = 2x + 11 {Add 14 to both sides}

7x - 14 +14 = 2x + 11 +14

7x = 2x + 25

7x - 2x = 2x + 25 - 2x

5x = 25 {Divide both sides by 5}

5x/5 = 25/5

x = 5

2) 6x + 5 = 3x + 14

6x = 3x + 14 - 5

6x = 3x + 9

6x - 3x = 9

3x = 9

x = 9/3

x = 3

3) 12x + 5 = 4x +37

12x = 4x + 37 - 5

12x = 4x + 32

12x - 4x = 32

8x = 32

x = 32/8

x = 4

4) 3x + 8 = 2x + 21

3x = 2x + 21 - 8

3x = 2x + 13

3x - 2x = 13

x = 13

5) 5x + 3 = x + 11

5x = x + 11 -3

5x = x + 8

5x - x = 8

4x = 8

x= 8/4

x = 2

Step-by-step explanation:

Answer:

m=0 and m=3

Step-by-step explanation:

there are two solutions

Answer:

A.

Jada should have multiplied both sides of the equation by 108.

Step-by-step explanation:

-4/9=x/108

you must multiply both sides

108*-4/9 = x*108

=-9/4

Answer:  What is the "..." for?

Step-by-step explanation:

Answer:

18 ft^2

Step-by-step explanation:

1^2=1

1*6=6

6*3=18

Answer: 18 square feet.

Step-by-step explanation:

You can find the surface area of the ice cubes by taking the area of each square side and multiplying it by 6.

1 * 1 = 1, so each side is 1 square foot.

There are six sides on a cube, so each ice cube has a surface area of six feet squared.

There are three ice cubes there, so 3 * 6 = 18 square feet.

Three ice cubes have a surface area of 18 feet squared.

Answer:

Yes, it is enough to climb.

Step-by-step explanation:

Let suppose that wall is vertical and perpendicular to surface, a right-angled triangle is formed after using the ladder against the wall. (See attachment)

Ladder is useful only if its length is greater than wall length and trigonometrically speaking, the ratio of wall length to ladder length must be less than 1, associated with the definition of sine. That is:

[tex]\sin \theta = \frac{50\,ft}{51\,ft}[/tex]

[tex]\sin \theta = 0.980[/tex]

In a nutshell, the 51-foot ladder is useful to clime a 50-foot wall.

Answer:

number less than 3=1 and 2

so 2/6 = 1/3 in lowest terms

then rolling a 6 =

there is only one 6 so it will be 1/6

I hope I helped

Answer:

See below

Step-by-step explanation:

If i recall right when two slopes are perpendicular one slope is supposed to be the negative reciprical of the other slope, because of this I think your answer should be B. -\frac{2}{3}  

Hope this helps

The lines are perpendicular and the slope of the red line is m₂ = -2/3

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m₁ = 3/2

So , the slope of the green line is m₁ = 3/2

Since the lines are perpendicular to each other , the product of their slopes will be equal to -1

And , m₁ x m₂ = -1

So , ( 3/2 ) x m₂ = -1

Multiply by ( 2/3 ) on both sides , we get

m₂ = ( -2/3 )

Therefore , the slope of the red line is ( -2/3 )

Hence , the slope of the red line m₂ = ( -2/3 )

To learn more about equation of line click :

https://brainly.com/question/14200719

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The complete question is attached below :

The lines below are perpendicular. If the slope of the green line is 3/2 what is the slope of the red line?