PLEASE PLEASE HELP ME WITH RHIS QUESTION

The perimeter of the cross section formed is 44.22 in.

The area of the cross section formed is 72.44 in.²

From the question, we are to determine the perimeter and area of the cross section formed by the cut

As indicated in the diagram,

If the wood is cut along the indicated diagonal, the cross section formed is a rectangle whose length will be the length of the diagonal and its width will be 4 in.

Now, we will calculate the length of the diagonal,

Let the diagonal be d

Then, we can write that

d² = 2² + 18²

d² = 4 + 324

d² = 328

d = 18.11 in.

Thus,

The length of the rectangular cross-section is 18.11 in.

Now, using the formula for calculating the perimeter of a rectangle

P = 2(l +w)

Where P is the perimeter

l is the length

and w is the width

For the rectangular cross-section

l = 18.11 in.

w = 4 in.

Putting the parameters into the formula,

P = 2(18.11 + 4)

P = 2(22.11)

P = 44.22 in.

∴ The perimeter of the cross section formed is 44.22 in.

For the area of the cross section

Using the formula for calculating the area of a rectangle,

A = l × w

∴ Area of the cross section formed = 18.11 × 4

Area of the cross section formed = 72.44 in.²

Hence, the area of the cross section formed is 72.44 in.²

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Answer:

Equation
5xP

graph:

for every 1 person Lets say its X for people
and then y for price

1,5

2,10

3,15

etc.

Answer:

x = 26, y = 120

Step-by-step explanation:

First we will find x.

We know that 3x-18 = 2x+8 because they are corresponding angles

Now we can solve for x

3x-18 = 2x+8 | subtract 2x from both sides

x-18 = 8 | add 18 to both sides

x = 26

Now we can find y. We know that 3x-18 and y are supplementary (add up to 180) since they are a linear pair (adjacent angles that form a line)

This means we can solve for y using the following :

3x-18 + y = 180 | substitute x for 26

3(26)-18 + y = 180 | simplify

60 + y = 180 | subtract 60 from both sides to isolate y

y = 120

- Kan Academy Advance

Answer:

2x - 11, 2x + 11

Step-by-step explanation:

The length of each side must multiply together to get [tex]4x^2 - 121[/tex] so have to factorise to make 2x-11 and 2x +11.

Answer:

C. 20

8 cycles for 1 inch, times 2 is 16, + 4 is 20

Answer:

Step-by-step explanation:  interior angle of a regular polygon is 160 degrees, then the exterior angle is 20 degrees. The sum of all exterior angles is 360 degrees so there must be 360/20 sides = 18 sides.

yes it can have 160 degree as interior angel

Answer:

last and third

Step-by-step explanation:

Heads is 6/10 and tails is 4/10

if answer needs to be simplified then heads is 3/5 and tails is 2/5

Heads: Fraction= 6/10 simplified=3/5 Percentage= 60% Decimal=0.6

Tails: Fraction= 4/10 simplified=2/5

Percentage=40% Decimal=0.4

brainliest if answer is good

The distance from B to B is 5.

This is because the distance between the original and new coordinates would remain the same. This is because it is done by translation and not because of the rotation. The distance between the two will still remain as 5.

Answer:

32 possible outcomes

Step-by-step explanation:

4 × 2 × 4 = 32

Answer:

in the picture

Step-by-step explanation:

the sign you see at the corners with arrows (see drawing) indicate a right angle

Ans57 , 58 , 59

Step-by-step explanation:

Answer:

B:11 and 1/4

Step-by-step explanation:

to divide 15 by 1 1/3 i used the Keep, Change, Flip method aka-KCF

i kept 15 over 1 changed the division sign into a multiplication sign and flipped 1 1/3 which is 4/3 to its reciprocal 3/4.

which got me the answer 45/4 i simplified it into 11 and 1/4

Answer:

This might not be the best answer but here goes:

A perfect square has to be a number that is expressed by 2 of the same integer multiplied by each other.

To check if a number is a perfect square, you find the square root of it. 64006 does not have a whole square root, meaning it is not a perfect square number. Its square root is:

252.9940711... (very close but not quite whole)

1. A perfect square number always has its square root to be a whole number. But, the square root of 64006 is is 252.99407... (not whole), so it is not a perfect square.

2. A perfect square number can only be written as the product of 2 odd numbers or 2 even numbers. But, 64006 can be written as 32003 x 2 -> NOT a perfect square.

There is a constant of proportionality between the two purchases and each book costs $4.99.

A correspondence relation between two variables is of direct proportionality when the quotient between the corresponding quantities is always the same. This quotient is called the constant of proportionality.

In other words, when dividing any quantity of one of the magnitudes by the one that corresponds to it in the other, the value it gives is always the same. This value is known as the constant of proportionality.

In this case, the constant of proportionality [tex]k[/tex] will relate the number of books bought [tex]N[/tex] and their cost [tex]C[/tex] in the following way:

[tex]C=k*N[/tex]

So k is the price per book.

For the 12 books:

[tex]k=\frac{59.88}{12}[/tex]

[tex]k=4.99[/tex]

And for the 21 books:

[tex]k=\frac{104.79}{21}[/tex]

[tex]k=4.99[/tex]

The constant [tex]k[/tex] for the two purchases is the same, thus there is a constant of proportionality between the two purchases and each book costs $4.99.

If donna didn't stop, her average speed for the final 30 miles to 2 dp is; 57.39 mph

We are given;

Distance travelled by Donna = 70 miles

Average Speed of Donna = 40 mph

Additional Distance travelled = 30 miles

Average speed for entire journey = 44 mph

We know that;

time = distance/speed

Thus

Total time = (70 + 30)/44

Total time = 100/44 h

Time 1 = 70/40 = 7/4 hr

Time 2 = 30/v

Thus;

30/v + 7/4 = 100/44

Multiply through by 44 to get;

1320/v = 100 - 77

v = 1320/23

v = 57.39 mph

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Answer:

Is 4

4

Step-by-step explanation:

Answer:

See below ~

Step-by-step explanation:

Power in repeated multiplication form is : 4 x 4 x 4 x 4

Value of the power : 16 x 16 = 256

the answer is b

Step-by-step explanation:

hope this helps if not let me know have a blessed day

The Talia should place the cell tower at the cicumcenter of triangle which is made with three locations of elementary school, shopping mall, and starbucks.

The circumcenter of a triangle is the point which lies in the center of the triangle and at the equidistant from all the three vertex of the triangle.

Taliya gets a summer job. She was in charge of placing a cell tower which should be equidistant to an elementary school, shopping mall, and starbucks.

The three locations form a triangular pattern on the map.  Now the Taliya were to use a center of triangle.

Thus, the Talia should place the cell tower at the cicumcenter of triangle which is made with three locations of elementary school, shopping mall, and starbucks.

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Answer:

i believe the answer is 41312432

Answer:

(b)the marble is odd-numbered.P(odd)=

[tex]~~~~(5x-18)+(4x+45) = 180\\\\\implies 9x+27=180\\\\\implies 9x = 180-27\\\\\implies 9x = 153\\\\\implies x = \dfrac{153}9\\\\\implies x = 17[/tex]

Hello student!

We are given two angles that are right next to each other and are formed off of a 180 degree angle.  These two angles are known as supplementary angles which means that the two angles add up to 180 degrees.  Using that information we can create an equation to help us find x.

[tex]Angle_1 + Angle_2 = 180[/tex]

[tex](5x - 18) + (4x + 45) = 180[/tex]

We now have a functioning equation which we can use to determine x.  The first step that we have is to combine like terms which means to add together numbers which the same variables.  In this case 5x and 4x would add together and -18 and 45 would also add together.

[tex](5x - 18) + (4x + 45) = 180[/tex]

[tex](5x + 4x) + (-18 + 45) = 180[/tex]

[tex]9x + 27 = 180[/tex]

Now we are down to the final steps which is just some algebra.  The first step that we need to do is subtract 27 from both sides which will remove the excess numbers from the left side.  

[tex]9x + 27 - 27= 180- 27[/tex]

[tex]9x = 153[/tex]

The second step that we will need to do is divide both sides by 9 which will help us isolate x and give us our final answer.

[tex]\frac{9x}{9} = \frac{153}{9}[/tex]

[tex]x=17[/tex]

Therefore, our final answer is that x is equal to 17.

Answer:

Price of senior citizen ticket = $7

Price of student ticket = $5

Step-by-step explanation:

Let:

Equations formed :

Subtract : Equation 1 - Equation 2

Finding b

Solution

Answer:

Senior tickets would be 7 dollars

and

Student ticket prices would be 5 dollars

Step-by-step explanation:

The length of the short and long diagonals of the parallelogram to 3 decimal places are 5.244 units and  14.370 units respectively.

Parallelograms are quadrilateral. They have opposite sides equal to each other. Opposite sides are also parallel. The opposite angles are equal to each other.

Therefore, the angles are as follows;

Hence,

length of small diagonal = √9²+ 6² - 2(9)(6) cos 34

length of small diagonal = √81 + 36 - 108(0.82903757255)

length of small diagonal = √117 - 89.5360578359

length of small diagonal = √27.5

length of small diagonal = 5.24404424085

length of small diagonal = 5.244 units

5.244² + d² = 2(9² + 6²)

27.499536 + d² = 2(81+36)

d² = 234 - 27.499536

d²= 206.5

d = √206.5

d = 14.3701078632

d = 14.370 units

length of the longer diagonal = 14.370 units

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Answer:

15037

Step-by-step explanation:

37 are in the covered, while 15000 were in the open area. So, to find the total, all we have to do is add these two figures together:

15000 + 37 = 15037

Hope this helps. Feel free to ask any more questions and I will try my best to help you.

- profparis

Answer:

15,037 spectators

Step-by-step explanation:

Total number of spectators :

⇒ Spectators in covered area + Spectators in the open

⇒ 15000 + 37

⇒ 15,037 spectators