A rectangular prism is 1 inch long and 2 inches wide. Its volume is 12 cubic inches. What is the height of the rectangular prism?

Answer:

12x+20

Step-by-step explanation:

Perimeter of a garden = 4s, s being the length of the side

In this case, s = 3x+5

substitute the equation

4(3x+5)

=12x+20

Answer:

Third option

[tex]y-3=4(x-1)[/tex]

Step-by-step explanation:

Equation of straight line in point slope form is given as

[tex]y-y_1=m(x-x_1)[/tex]

Here

slope=m=4 and [tex](x_1, y_1) = ( 1, 3 )[/tex]

Equation of straight line having slope 4 and crossing from point (1, 3) is given as

[tex]y-3=4(x-1)[/tex]

Answer:

first, third, and fourth

Step-by-step explanation:

Answer:

69

Step-by-step explanation:

The solutions are,

8-6a. 110

8-6b. 20

8-6c. 48

8-6d. 108

8-7 C and H are not polygon, the rest are all polygon

The area of the figure is 45 sq.mi and the perimeter is 23.5354 mi.

Area is the space occupied by a two dimensional object,

The area and perimeter of the given shape can be determined by dividing it into basic shapes.

here, we have,

The area and the perimeter of the shape given

= Area of the rectangle +Area of upper triangle - Area of two small triangles at the bottom

Area of rectangle = 5 mi * 9 mi = 45 sq.mi

Area of upper Triangle = (1/2) *9*3 = 27/2 sq.mi

Area of small Triangle = (1/2) * 3*6 = 9 sq.mi

Area of other small Triangle = (1/2)*3*3 = 9/2 sq.mi

Area of the figure = 45 +13.5 -9-4.5

Area of the figure =  45 sq.mi

Similarly for Perimeter = Perimeter of the rectangle +Perimeter of upper triangle -Perimeter of two small triangles at the bottom

Perimeter = 28 -(3+6+6.708) -(3+3+4.2426) +(3+9+9.486

Perimeter = 23.5354 mi

Therefore , The area of the figure is 45 sq.mi and the perimeter is 23.5354 mi.

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Answer: C. Two of the side lengths add to a sum that is less than the third side length, so these lengths cannot be used to draw any triangles.

Explanation:

Those two sides in question are 8 and 12. They add to 8+12 = 20, but this sum is less than the third side 24. A triangle cannot be formed.

Try it out yourself. Cut out slips of paper that are 8 units, 12 units, and 24 units respectively. The units could be in inches or cm or mm based on your preference.

Then try to form a triangle with those side lengths. You'll find that it's not possible. If we had the 24 unit side be the horizontal base, so to speak, then we could attach the 8 and 12 unit lengths on either side of this horizontal piece. But then no matter how we rotate those smaller sides, they won't meet up to form the third point for the triangle. The sides are simply too short. Other possible configurations won't work either.

As a rule, the sum of any two sides of a triangle must be larger than the third side. This is the triangle inequality theorem.

That theorem says that the following three inequalities must all be true for a triangle to be possible.

where x,y,z are the sides of the triangle. They are placeholders for positive real numbers.

So because 8+12 > 24 is a false statement, this means that a triangle is not possible for these given side lengths. Therefore, 0 triangles can be formed.

Answer:

2.5

Step-by-step explanation:

10 / 4 = 2.5

Answer:

-18

Step-by-step explanation:

Answer:

6 degrees F

Step-by-step explanation:Since it was at 12 and it was 4 am.Going down 3 degrees by the hour and it six do 12-3-3.

Answer:

it's your answer

Step-by-step explanation:

60+5(6÷2)

60+30÷10

60+3

63

18+(10-6)square

18+(100-36)

18+64

82

Answer:

To convert radians to degrees, multiply by 180π , since a full circle is 360° or 2π radians. Cancel the common factor of π .

Answer:

144∘

Step-by-step explanation:

4π5⋅180∘π=144∘

Answer:

D divide both the numerator and denominator by cos(x)cos(y)

Step-by-step explanation:

just took test

The derivation of tangent sum identity taken to the expression in Step 3 to give an expression for Step 4 is option D; divide both the numerator and denominator by cos(x)cos(y).

The trigonometric identities is the relationship between the different trigonometric ratios.

These trigonometric identities are the basic formulae that are true for all the values of the reference angle.

For the given situation, the derivation for the tangent sum identity is given in the table below.

The derivation follows the steps,

[tex]\dfrac{sin (x+y)}{cos (x +y)}[/tex]

we know that,

sin (x + y) = sin x cos y + cos x sin y

cos (x + y) = cos x cos y - sin x sin y

Substitute;

[tex]\dfrac{sin x cos y + cos x sin y}{cos x cos y - sin x sin y}[/tex]

Divide each term by cos x cos y

[tex]\dfrac{\dfrac{sin x cos y}{cos x cos y} + \dfrac{cos x sin y}{cos x cos y} }{\dfrac{cos x cos y}{cos x cos y} - \dfrac{sin x sin y}{cos x cos y} }[/tex]

Now, [tex]\dfrac{tan x + tan y}{1 - tan x tan y}[/tex]

Hence we can conclude that the derivation of tangent sum identity taken to the expression in Step 3 to give an expression for Step 4 is option D; divide both the numerator and denominator by cos(x)cos(y).

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Answer: 3 1/2

Step-by-step explanation:

Yes

Answer:3 1/2

Step-by-step explanation:

Answer:

should be 6to make is one so you can multiply it by 1 to get the same number

Step-by-step explanation:

Answer:

D = 8

Step-by-step explanation:

distribute

2 = 2d - 14

add 14 to both side

16 = 2d

divide both sides by 2

8 = d

d = 8

can I get brainliest ?

Answer:

5%

Step-by-step explanation:

10/200 × 100 = 5

hope this helps...

Answer:

[tex]y = \frac{1}{2} x + \frac{5}{2} [/tex]

Step-by-step explanation:

hope this helps!

5. 0384748939

Step-by-step explanation:

let's take the ramp, if u draw a diagram 8, 10 and the unknown value makes a right angled triangle

So according to pythogaraos(dnot care the spelling) theorem a square + b square = c square

Now 10 is the hypothenuse, so let's rearrange them as c square - b square = a square

now apply the values, 10 square - 8 square = X square

100 - 64 = X square

36 = X square

now root of 32 is-------

I MESSED UP I GUESS

Answer:

the answer is 6

Step-by-step explanation:

Answer:

[tex]\frac{5}{12}[/tex]

Step-by-step explanation:

[tex]\frac{3}{4} -\frac{1}{3}[/tex]

Find the common denominator and multiply each side by that number

[tex]\frac{9}{12} -\frac{4}{12}[/tex]

[tex]\frac{5}{12}[/tex]

For bolded part in explanation: 4·3=12 3·3=9

                                                    3·4=12 1·4=4

Answer:

it issss 99+11d :)

Step-by-step explanation:

hope I helped

Answer:

99 + 11d

Step-by-step explanation:

11(9+d)

distribute the 11 into the ( )

99 + 11d

Hope this Helps!!!

Answer:

One

Step-by-step explanation:

There will be one unique solution of the equation y = 5x - 1 and y = 3x + 7. The correct option is B.

A finite collection of equations for which we searched for common solutions is referred to in mathematics as a system of equations, sometimes known as a set of simultaneous equations or an equation system. Similar to single equations, a system of equations can be categorized.

A linear equation can only have one unique solution, which is a location at which the LHS and RHS of the equation are equal. There is only ever one solution to a linear equation with one variable.

y = 5x - 1

y = 3x + 7

5x - 1 = 3x + 7

2x = 8

x = 4

y = 19

Therefore, there will be one unique solution of the equation y = 5x - 1 and y = 3x + 7.

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Answer:

7.5

Step-by-step explanation:

10x + 8x + 6x = 180°

24x = 180°

x = 180°÷24

× = 7.5

HOPE IT HELPS YOU.

HOPE IT HELPS YOU.

HOPE IT HELPS YOU.

Answer:

slope is 5 hope it helps lol lol lol lol

Answer:

120ft.

Step-by-step explanation:

A garden is designed in the shape of a rhombus formed from 4 identical 30°-60°-90° triangles. The shorter distance across the middle of the garden measures 30 feet. What is the distance around the perimeter of the garden? 120ft.

The perimeter of the rhombus is P = 120 feet

A Rhombus has four sides of the same length, its perimeter can be determined using the formula Perimeter = 4a, where "a" stands for the side's length.

When the two diagonals of a rhombus are known,

The perimeter = 2√p² + q²

where 'p' and 'q' are the diagonals.

Given data ,

Let the rhombus be represented as ABCD

Let the side length of the rhombus be AB = 30 feet

And , perimeter = 2√p² + q²

And , P = AB + BC + CD + AD

Due to the four triangles' similarity, we may conclude that AC is divided at O. So, we are aware that AO = 15 feet.

In ΔAOD,

(Perpendicular/hypotenuse) = sin 30°

or, 1/2 = 15/AD

otherwise, AD = 15 x 2 = 30 ft

So, AD equals 30 feet.

Given that all of a rhombus' sides are equal and all four of its triangles are the same, we have AB = BC = CD = AD = 30 feet.

On simplifying , we get

P = 4 ( 30 feet )

So , P = 120 feet

Hence , the perimeter is 120 feet

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Answer: y=−2x+8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Let's rewrite this in slope intercept form, and isolate y on the left side. First, subtract 6x from both sides:

3y = 24 - 6x

Then divide both sides by 3:

y = -2x + 8

Now that it's in y = mx+b form, we can see that the slope is -2, and the y intercept is 8.

Hope this helps!

Step-by-step explanation:

(x - 4)(x - 1)

= x² - x - 4x + 4

= x² - 5x + 4.

Answer:

[tex]\huge(x - 4)(x - 1) \\ \huge= {x}^{2} - x - 4x + 4 \\ \huge = {x}^{2} - 5x + 4[/tex]