the area of the base of a triangular prism is 4.5 and the lenght of the prism is 5. what is the volume of the prism

Answer:

The exact value of tan(60°) is √(3).

Step-by-step explanation:

The value of the trigonometric relation tan ( 60 )° = √3

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the trigonometric relation be represented as A

Now , the value of A is

A = tan ( 60 )°

And , from the trigonometric identities , we get

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

So , the measure of tan ( 60 )° = √3

Hence , the trigonometric relation is solved

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Answer:

I think its 26,I think I'm not right,but still,I wanna help...

Answer:

[tex]y=1-e^{c_{2}}}*e^{-x} *e^{x^2}[/tex]

Step-by-step explanation:

We begin with the differential equation [tex]\frac{dy}{dx} =(1-x)(1-y)[/tex]

Firstly, we need to get the [tex]y[/tex] and [tex]dy[/tex] as well as the [tex]x[/tex] and [tex]dx[/tex] on the same sides as each other

To do this, we can multiply each side by [tex]dx[/tex] and divide each side by [tex](1-y)[/tex]

Doing this will give us the following differential

[tex]\frac{1}{1-y} dy=(1-x)dx[/tex]

Now, we can integrate each side

[tex]\int\limits\frac{1}{1-y} \, dy =\int (1-x) \, dx\\\\-ln(1-y)=x-x^2+c_{1}[/tex]

Now, we need to solve for y

[tex]-ln(1-y)=x-x^2+c_{1}\\\\ln(1-y)=x^2-x+c_{2} \\\\1-y=e^{x^2-x+c_{2}} \\\\y=1-e^{x^2-x+c_{2}}\\\\y=1-e^{c_{2}}}*e^{-x} *e^{x^2}[/tex]

Answer: 32 steaks

Step-by-step explanation:

Given data:

Each steak surface requirement = 0.25 square feet of the grill.

Maximum number of steaks mike can grill at

2.5 feet

2 feet and

3.5 feet

Solution.

At 2.5 feet

= 2.5 / 0.25

= 10 steaks

At 2 feet

= 2 / 0.25

= 8 steaks

At 3.5 feet

= 3.5 / 0.25

= 14 steaks

Total number of steaks

= 10 + 8 + 14

= 32 steaks

Answer: b

Step-by-step explanation:

4ab

[tex]a>0[/tex] a will always be positive.

[tex]b<0[/tex] b will always be negative.

4(a)(-b)

-4ab

Answer:

the answer is A

Step-by-step explanation:

khan said so

Answer:

4.44

Step-by-step explanation:

Answer:

yes it is sas

Step-by-step explanation:

because one side is shared, they both have right angles and the other side is a given.

Answer:

SAS

Step-by-step explanation:

The sides are all equivalent so it is indeed a SAS triangle.

Answer: 11.31372

Step-by-step explanation:

1+b^2=9

you should get radical 8

2. Then plug your values into the formula and you get your answer

Answer:

A) Is the answer

Step-by-step explanation:

vol.=LxBxH

8x1x3=24

The dimensions that could be the box with a volume of 24 cubic centimeters are:

8cm long, 1cm wide, 3cm high

2cm long, 2cm wide, 6cm high

Options A and C are the correct answer.

We have,

To determine if the given dimensions could represent the box with a volume of 24 cubic centimeters, calculate the volume for each option and check if it matches the given volume.

Let's calculate the volume for each option:

Option A:

Length = 8 cm, Width = 1 cm, Height = 3 cm

Volume = Length × Width × Height

Volume = 8 cm × 1 cm × 3 cm

Volume = 24 cubic cm

Option A could be the dimensions of the box

Option B:

Length = 10 cm, Width = 4 cm, Height = 10 cm

Volume = Length × Width × Height

Volume = 10 cm × 4 cm × 10 cm

Volume = 400 cubic cm

Option B does not have a volume of 24 cubic cm.

Option C:

Length = 2 cm, Width = 2 cm, Height = 6 cm

Volume = Length × Width × Height

Volume = 2 cm × 2 cm × 6 cm

Volume = 24 cubic cm

Option C could be the dimensions of the box.

Therefore,

The dimensions of the box with a volume of 24 cubic centimeters are:

8cm long, 1cm wide, 3cm high

2cm long, 2cm wide, 6cm high

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Answer:

-8/9 is the answer

Answer:

x + 6 minus one-half x minus 2. Both expressions equal 5 when substituting 2 for x because the expressions are equivalent. Both expressions equal 6 when substituting 2 for x because the expressions are equivalent.

Step-by-step explanation:

Answer:

Answer is a

Step-by-step explanation:

100% on my test

Answer:

the ratio of pens is 2:1

and the ratio of pencils is 1:1

Answer:

(D)  8 >4      

      9   9

hope this help

Step-by-step explanation:

Answer:

manipulated variable or the independent variable

Step-by-step explanation:

Answer: it’s explanatory variable

Step-by-step explanation:

Its a type of independent variable

Answer: D. Magnetic Force

Step-by-step explanation:

The range isn't compatible from a long distance. Only when close to contact.

Answer:

the answer is magnetic force

hope this helps u

Answer: 82

Step-by-step explanation:

(80+ 84) / 2

164/2

Answer:

82

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

That's the most common number there

Answer:

9

Step-by-step explanation:

The mode of a set of data values is the value that appears most often.

in this set, 9 appears 4 times -> 9 is mode

Answer:

157.08

pi x radius x radius x height/3

Step-by-step explanation:

Answer:

V≈157.08

Step-by-step explanation:

I used the formula for a cone:

V=πr2h/3 (h/3 as in a fraction)

Answer:

(A) The number of degrees between 0 and -5 C

Step-by-step explanation:

Hi! It is not 1-5 is is the absolute value of -5. This would be 5 which is the number of degrees between 0 and -5.

Answer:

An inequality can have more than one solution. The set of all solutions of an inequality is called the solution set. The symbol ≥/ means “is not greater than or equal to.”

Step-by-step explanation:

Fraction Decimal Percent

2/3         0.666… 66.666…%

1/4         0.25 25%

3/4         0.75 75%

1/5         0.2         20%

Question:

The parallelogram shown below has an area of 40 units squared.

Find the missing base.

Answer:

See Explanation Below

Step-by-step explanation:

The question is incomplete as the diagram which shows the dimension of the parallelogram is not attached.

However, I'll give a general explanation on how to get the base of the parallelogram. If you follow this explanation, you'll get the right answer regarding your question.

The area of a parallelogram is calculated as thus.

Area = Base * Height

Given that the area = 40 units²

Let's assume the height of the parallelogram is 10 unit.

All you need to do is to plug in these values in the formula above..

Area = Base * Height becomes

40 = Base * 10

Divide both sides by 10

40/10 = Base * 10/10

4 = Base

Hence, Base = 4 units

Or take for instance the height is 5 units.

You'll still follow the simple steps as it is above.

Area = Base * Height becomes

40 = Base * 5

Divide both sides by 5

40/5 = Base * 5/5

8 = Base

Hence, Base = 8 units

Answer:

8 (above explanation)

Step-by-step explanation:

Answer:

In 350 cm there are 3.5 m . Which is the same to say that 350 centimeters is 3.5 meters

Answer:

Hey!

There are different measures equivalent to 350 cm!

Step-by-step explanation:

SOME ARE: 137.795 inches

                    3.5 metres

                    3500 millimeters  

                    11.4829  feet          

HOPE THIS HELPS!!                                                      

Answer:

The line is quadrants 1 2 and 3

Step-by-step explanation:

remember top right is 1

top left is 2

and  bottom left is 3

Answer:

The median is the middle number.

Step-by-step explanation:

You have to order the numbers from least to greatest, or greatest to least, and choose the number in the middle. Since there is an even number of values, you have to take the mean of the two middle numbers. I hope this helps.

Answer:

D

Step-by-step explanation:

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

Thus

(x - 5)² represents a shift of f(x) to the right of 5 units

Answer:

10 times as much as: 200, 1/10 of=2

Step-by-step explanation:

Answer:

A) 3/2

Step-by-step explanation:

slope of the line equation:

m (slope) = (y₂ - y₁)/(x₂ - x₁)

Let:

(x₁ , y₁) = (-3 , -3)

(x₂ , y₂) = (1 , 3)

Plug in corresponding numbers to the corresponding variables:

m = (3 - (-3))/(1 - (-3))

Simplify:

m = (3 + 3)/(1 + 3)

m = (6)/(4)

m = 3/2

A) 3/2 is your slope.

~

Answer:

the answer is three over two 3/2

Step-by-step explanation:

the equation is

Ya-Yb

divided by

Xa-Xb

so basically:

-3-3/-3-1

Answer:172in

Step-by-step explanation:

Answer:

SA=172

Step-by-step explanation:

SA=2lw+2wh+2lh

=2(10)(2)+2(2)(5.5)+2(10)(5.5)

=172

18/s = 33

18 = 33 x s

18/33 = s

0.54 = s

Hope it helps :)

Step-by-step explanation:

s=18/33

0.5454......

Answer:

85°

Step-by-step explanation:

We need to use the angle fact that angles in a quadrilateral add up to 360° and that a right angle is 90°, using this information we can for an equation to find the value of 1. Lets call "1" x so we don't confuse it with an angle. So,

x + 85 + 100 + 90 = 360

In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we took away 90 only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.

x + 85 + 100 + 90 = 360

→ Simplify equation

x + 275 = 360

→ Minus 275 from both sides to isolate x

x = 85

The measure of angle '1' is 85°

Answer:

85°

Step-by-step explanation:

∠1+85°+100°+90°= 360°

∠1 = 360°- 275°= 85°

∠1 =85°

Answer:Volume = length x width x height.

You only need to know one side to figure out the volume of a cube.

The units of measure for volume are cubic units.

Volume is in three-dimensions.

You can multiply the sides in any order.

Which side you call length, width, or height doesn't matter.

Step-by-step explanation:

The solution is: 216.6 cm^3 will be the volume of the new figure.

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

here, we have,

we know that,

Volume = length x width x height.

You only need to know one side to figure out the volume of a cube.

The units of measure for volume are cubic units.

Volume is in three-dimensions.

here, we have,

The volume of a figure is 3250 cm^3.

now, we have,

If the dimensions are multiplied by 1/5,

then, we have,

Volume = length/5 x width/5 x height/5.

or, Volume = length x width x height / 15

or, Volume = 3250/ 15 cm^3

or, V = 216.6 cm^3

Hence, 216.6 cm^3 will be the volume of the new figure.

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