what is the value of x in the following diagram

[tex]v = \frac{lwh}{3} [/tex]

[tex]v = \frac{10 \times 6 \times 6}{3} [/tex]

[tex]v = 120 \: {ft}^{3} [/tex]

[tex]v = lwh[/tex]

[tex]v = 10 \times 6 \times 4[/tex]

[tex]v = 240 \: {ft}^{3} [/tex]

[tex]v = 120 + 240[/tex]

[tex]v = 360 \: {ft}^{3} [/tex]

volume of rectangular pyramid is 120 ft^3.

volume of rectangular prism is 240 ft^3.

total volume is 360 ft^3.

hope this helps.

Answer:

Quadratic

Step-by-step explanation:

The function shown here is :

As the degree of the polynomial is 2, this function is considered to be quadratic.

The statement is a mathematical statement, and the equation that shows the statement is y = 4m - 3

The product of 4 and m is represented as:

4 * m

Evaluate

4 * m = 4m

3 less than this product is represented as:

4 * m - 3 = 4m - 3

Let the result of the equation be represented with y.

So, we have:

y = 4m - 3

Hence, the equation that shows the statement is y = 4m - 3

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The length of the hypotenuse x will be equal to x=89.72 cm.

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle are termed trigonometry.

It is given in the question that:-

The base is = 54 cm

Angle just opposite the base is =37

So the angle with the base will be =180-90-37=53

So by applying the cosine formula for the right-angled triangle:-

Cos Ф=(B)/(H)

Cos 53=(54)(x)

x=(54)(Cos53)

x=889.72 cm

Hence the length of the hypotenuse x will be equal to x=89.72 cm.

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

[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

How many kilometers is equal to 800 meters?

[tex]\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]

Divide the number of meters by 1000 to convert meters (m) into kilometers  (km):

[tex]\texttt{800:1,000=0.8 km}[/tex]

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

[tex]1.37 + 0.9\\\\\\=\dfrac{137}{100} + \dfrac{9}{10}\\\\\\=\dfrac{137}{100}+\dfrac{90}{100}\\\\\\=\dfrac{137+90}{100}\\\\\\=\dfrac{227}{100}\\\\\\=2.27[/tex]

Answer:

A = 5

Step-by-step explanation:

Add 13 to each side of the expression :

Step-by-step explanation:

A 13+13 equal to -8+13

A 13-8

A 5

Answer:

B. <

Step-by-step explanation:

2.7 * 10^3 is < 27 * 10^3

since

27 * 10^3 = 27000

2.7 * 10^3 = 2700

2700 < 27000

now since multiplying by 10 moves the decimal to the right, just looking and mentally comparing them. since they are both multiplied by 10^3 you're left with 2.7 and 27

27 is greater than 2.7

so

your answer is B or <

hope this helps :)

Answer: the answer is choice b

Step-by-step explanation:

Answer:

See below ~

Step-by-step explanation:

1. 3d + 2

2. John = Kelly - 6

3. y/4 - 3

4. Thomas = 2(Luis)

5. 8p + 6

6. x³ + 5

Answer:

1230000

Step-by-step explanation:

this is because of growth and inflation and deflation

12% of 120,000 = 14400

14400x7 = 100800

120,000 - 100800 = 19200

A:DECAY

Answer: 19.61$

Step-by-step explanation:

6% = .06

10.5 x .06

.63

10.5 + .63

11.13$

8 x 0.06

.48

8 + .48

8.48$

8.48 + 11.13

19.61$

The awnser is 3 units

Start from the y-axis and count to your point.

When I was in tge 5th grade frog leaps/ bunny hops helped me.

Answer:

20 degrees

Step-by-step explanation:

Answer:

20 degrees

Step-by-step explanation:

I got help from my teacher.

Answer:(-3,-1.5)

Step-by-step explanation: the vertex is the point then the line starts to bend. that would be (-3,-1.5).

Changing the multiplication sign to a division sign, we will have 28 ÷ 7

Given the product of 28 and 1/7, we are to write a division equation involving division by a fraction.

Given

28 * 1/7 = 4

Changing the multiplication sign to a division sign, we will have:

28 * 1/7 = 28/7

This can also be written as 28 ÷ 7

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“Shark” is more popular with students, but “Moose” is more popular with teachers.​ Then the correct option is D.

Relative frequency is the ratio of the considered subgroup's count to the total count. (so its frequency of the considered subgroup relative to the total frequency).

A survey asks teachers and students whether they would like the new school mascot to be a shark or a moose.

This table shows the results.

                          Sharks              Moose            Total

Students               90                     10                  100

Teachers               5                       10                   15

Total                     95                      20                 115

Then the correct situation will be

“Shark” is more popular with students, but “Moose” is more popular with teachers.​

Then the correct option is D.

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Answer:

444.94300

Step-by-step explanation:

497.063-52.12

First set is parallel - same gradient

Second set is neither - gradient is 2/6 or 1/3. It then had to be 3 for it to be perpendicular.

Hope this helps!

Answer:

area of composite shapes is area of rectangle plus area of square what do I know I'm just in 8th grad

Answer:

6.25 km^2.

Step-by-step explanation:

Let the park be x km wide. Then it's length is 4x km.

Perimeter = 2(Length + width)

12.5 = 2(4x + x)

2*5x = 12.5

x = 12.5 /10 =1.25 km.

So the park is 1.25 km wide and 4*1.25 = 5 km long.

The area of the park = 1.25 * 5

= 6.25 km^2.

The dimension of the park is 1.25 km by 5 km. Then the area of the park is 6.25 square km.

Let W be the rectangle's width and L its length.

The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be

Area of the rectangle = L×W square units

A recreation area is multiple times for however long it is wide. assuming the distance around the recreation area is 12.5 kilometers.

Then the equation is given as,

L = 4W

Then the perimeter of the garden is given as,

12.5 = 2(L + W)

12.5 = 2(4W + W)

6.25 = 5W

W = 1.25 km

Then the length is given as,

L = 4 x 1.25

L = 5 km

Then the area of the garden is given as,

A = 5 x 1.25

A = 6.25 square km

The dimension of the park is 1.25 km by 5 km. Then the area of the park is 6.25 square km.

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The sets of numbers which could represent the three sides of a triangle is {6,14,17}. Option A is the correct option.

Triangle inequality theorem of a triangle says that the sum of the two sides of a triangle is always greater than the third side.

Suppose a, b and c are the three sides of a triangle. Thus, according to this theorem,

[tex](a+b) > c\\(b+c) > a\\(c+a) > b[/tex]

The sides of first option are, 6,14,and 17.

[tex]6+14 > 17\\20 > 17[/tex]

This set satisfy the triangle inequality theorem. All the other options do not follow, to satisfy this theorem.

Thus, the sets of numbers which could represent the three sides of a triangle is {6,14,17}. Option A is the correct option.

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Answer:

If I am correct he will save $405 by having his friend helping him.

Step-by-step explanation:

3x115=345

750-345=$405

totaled saved: 405

Answer:

388

Step-by-step explanation:

Substituting b = 20 in the expression :

Answer:

x = 5

Step-by-step explanation:

216 ^x  = 6^(x+10)               notice that 216  = 6^3

(6^3 )^x = 6^(x+10)

6^3x = 6^(x+10)       now just equate the exponents

 3x = x + 10

   2x = 10       x = 5

Answer:

The answer is 72

Step-by-step explanation:

The formula for perimeter is (L+W)x2

So in your case (11+25)x2

Or add all 4 sides of the rectangle up and you have your answer <3

Answer:

a) 1.8

b) 11.8

c) 23.6

(2.4 + 1.6 + 3.2 + 0.3 + 1.5) / 5 = 1.8

(12.4 + 11.6 + 13.2 + 10.3 + 11.5) = 11.8

(24.8 + 23.2 + 26.4 + 20.6 + 23) / 5 = 23.6

or,

11.8 × 2 = 23.6

Answer+Step-by-step explanation:

a)

original mean = (2.4+1.6+3.2+0.3+1.5)÷5

         = 9÷5

         = 1.8

b)

New mean = ((2.4+10)+(1.6+10)+(3.2+10)+(0.3+10)+(1.5+10))÷5

         = (12.4) + (11.6) + (13.2) + (10.3) + (11.5)) ÷ 5

         = 59÷5

         = 11.8

Note:  

11.8-10 = 1.8

then

New mean = original mean + 10

c)

Newest mean = ((2×12.4)+(2×11.6)+(2×13.2)+(2×10.3)+(2×11.5))÷5

                       = ((24.8)+(23.2)+(26.4)+(20.6)+(23))÷5

                       = 118÷5

                       =23.6

Note :

Newest mean = 2×(New mean)

                       = 2×(original mean + 10)

number one is 4 so put it on 4 and number 2 would be on 6 and number 3 on 1 thats just how i see it hope this helps

Step-by-step explanation:

Answer:

A (the one you already have selected!)

Step-by-step explanation:

the vertical asymptotes: x = pi / 2

Vertical shift: - 2

Phase shift and period: pi to the right

Answer:

X = [tex]\sqrt{2}[/tex] , Y = 3 , Z = 10

Step-by-step explanation:

using Pythagoras' identity in all 3 right triangles

X² = 1² + 1² = 1 + 1 = 2 ( take square root of both sides )

X = [tex]\sqrt{2}[/tex]

middle triangle

Y² = 1² + X² = 1 + ([tex]\sqrt{2}[/tex] )² = 1 + 2 = 3

triangle on right

Z² = 1² + Y² = 1 + 3² = 1 + 9 = 10