An apartment has two closets. Closet #1 is 4 feet long and 5 feet deep; Closet #2 is 6 feet long and 3 feet deep. Both closets are 8 feet tall. Which closet is larger?

Answer:

a = side length a

b = side length b = bottom triangle base b

c = side length c

h = height of prism

H = height of bottom triangle

V = volume

Atot = total surface area = all sides

Alat = lateral surface area = all rectangular sides

Atop = top surface area = top triangle

Abot = bottom surface area = bottom triangle

A triangular prism is a geometric solid shape with a triangle as its base. It's a three-sided prism where the base and top are equal triangles and the remaining 3 sides are rectangles.

Calculator Use

This calculator finds the volume, surface area and height of a triangular prism. Surface area calculations include top, bottom, lateral sides and total surface area. Height is calculated from known volume or lateral surface area.

Units: Units are shown for convenience but do not affect calculations. Answers will be the same whether in feet, ft2, ft3, or meters, m2, m3, or any other unit measure.

Significant Figures: Choose the number of significant figures or leave on auto to let the calculator determine number precision.

Triangular Prism Formulas in terms of height and triangle side lengths a, b and c:

Volume of a Triangular Prism Formula

Finds the 3-dimensional space occupied by a triangular prism.

V=14h(c+a−b)(a+b−c)−−−−−−−−−−−−−−−−−√×(a+b+c)(b+c−a)−−−−−−−−−−−−−−−−−√

Top Surface Area of a Triangular Prism Formula

Finds the area contained by the triangular surface at the top of the prism. This is the same area as the bottom surface area.

Atop=14(a+b+c)(b+c−a)×(c+a−b)(a+b−c)−−−−−−−−−−−−−−−−−−−−−−−√

Bottom Surface Area of a Triangular Prism Formula

Finds the area contained by the triangular surface at the bottom of the prism. This is the same area as the top surface area.

Abot=14(a+b+c)(b+c−a)×(c+a−b)(a+b−c)−−−−−−−−−−−−−−−−−−−−−−−√

Lateral Surface Area of a Triangular Prism Formula

Finds the total area contained by the three rectangular sides of the prism. You can think of the lateral surface area as the total surface area of the prism minus the two triangular areas at the top and bottom of the prism.

Alat=h(a+b+c)

Total Surface Area of a Triangular Prism Formula

Finds the total area of all sides of a triangular prism. Total surface area of a prism includes the area of the top and bottom triangle sides of the prism, plus the area of all 3 rectangular sides.

Atot=Atop+Abot+Alat

Step-by-step explanation:

Height of a Triangular Prism Formula in Terms of Volume

Finds the height of a triangular prism by solving the Volume Formula for height. Height, h, is calculated from volume, V, and side lengths a, b and c.

h=4V÷[(c+a−b)(a+b−c)−−−−−−−−−−−−−−−−−√×(a+b+c)(b+c−a)−−−−−−−−−−−−−−−−−√]

Height of a Triangular Prism Formula in Terms of Lateral Surface Area

Finds the height of a triangular prism by solving the Lateral Surface Area Formula for height. Height, h, is calculated from lateral surface area, Alat, and side lengths a, b and c.

h=Alat(a+b+c)

#jerry Don is here#

The surface area of this figure will be 540 square feet.

Surface area refers to the area of an open surface or the border of a multi-object, whereas the area of a plane region or plane field refers to the area of a form or planar material.

A complex solid made out of triangular and rectangular prisms. The triangular prism is centered on the rectangular prism's top.

The surface area of the shape is given as,

SA = 2(15 x 8 + 8 x 5) + 15 x 5 + 11 x 5 + 9 x 5 + 9 x 5

SA = 2(120 + 40) + 75 + 55 + 45 + 45

SA = 2 x 160 + 220

SA = 320 + 220

SA = 540 square feet

The surface area of this figure will be 540 square feet.

More about the area link is given below.

https://brainly.com/question/27683633

#SPJ3

The missing figure is attached below.

Answer:

$2.75

Step-by-step explanation:

Since x represents the number of years since 1980 to 2000 that means the ticket prices increase by 0.10 (or 10 cents) each year. This means the base price in 1980 was $2.75. To prove it, we would plug in the correct information into the expression. The number of years since 1980 would be 0 so we would plug in 0 for x. 2.75 + 0.10(0) = $2.75.

Answer:

175 minutes :)

have a good day !

Step-by-step explanation:

Answer:

2nd option

Step-by-step explanation:

using the cosine and sine ratios in the right triangle and the exact values

cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] and sin30° = [tex]\frac{1}{2}[/tex] , then

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{12\sqrt{3} }[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2x = 12[tex]\sqrt{3}[/tex] × [tex]\sqrt{3}[/tex] = 36 ( divide both sides by 2 )

x = 18

and

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{y}{12\sqrt{3} }[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2y = 12[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

y = 6[tex]\sqrt{3}[/tex]

The value of the function for the other factors will be -1.41  and - 3.90 respectively.

It is a method for dividing a polynomial into parts, each of which will be multiplied. At this moment, the polynomial's value will be zero.

Given function;

f(x) =2x⁴ - 2x-5

The roots (zeros) are the

x values where the graph intersects the x-axis. To find the roots (zeros), replace y with 0 and solve for x.

x≈−1.089744,1.40581409

The value of the function for the other factors;

f(x) =2x⁴ - 2x-5

f(−1.089744) = 2(−1.089744)⁴-2(1.089744)-5

f(−1.089744) = -1.41

f(x) =2x⁴ - 2x-5

f(1.40581409) = 2(1.40581409)⁴-2(1.40581409)-5

f(−1.089744) = - 3.90

The value of the function for the other factors will be -1.41 and - 3.90 respectively.

To learn more about factorization, refer to:

https://brainly.com/question/24182713

#SPJ1

Answer: 6

Step-by-step explanation:

-4 -3 -2 -1 0 1 2

1   2 3 4 5 6 7

Answer:

x^2-5x+6=0

By splitting the middle term

x^2-3x-2x+6=0

x(x-3)-2(x-3)=0

(x-2)(x-3)=0

so, roots are x=2or3.

Hope this helps uhh!!!

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{x^2 - 5x + 6 = 0}\\\\\large\text{FACTOR the LEFT SIDE of THE EQUATION}\\\\\mathsf{(x - 2)(x - 3) = 0}\\\\\large\text{SET the FACTORS to EQUAL to 0}\\\\\mathsf{x - 2 = 0\ or\ x - 3 = 0}\\\\\large\text{SIMPLIFY IT!}\\\\\mathsf{x = 2\ or\ x = 3}\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{x = 2\ or\ x = 3}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

It would be, No solution.

Step-by-step explanation:

This is because you can't divide something from zero.

Step-by-step explanation:

a local minimum is a point, where the function left and right of this point has higher functional values.

so,

(a) at x = -3 and at x = 4 there are local minimums.

(b) the minimum functional values at these points are 1 and -2

Answer:

175.5-12.7=162.8

Answer:

I got you just plz rate a five star and Thanks Your answer sir is 162.8

Step-by-step explanation:

Answer:

127 degrees

Step-by-step explanation:

Angles in a triangle add up to 180

180 - 44 - 83 = 53

Angles on a straight line add up to 180

180 - 53 = 127

Answer:

im not really sure but x may be 127 degrees?

Step-by-step explanation:

so i dont really remember but a triangle is 180 degrees

to find x we must find the value in the triangle. lets say y

y + 44 + 83 = 180

y + 128 = 180

y = 180 - 127

y = 53

the angle in the triangle is 53 degrees. so a line is...also 180 degrees... um so we do

x + 53 = 180

x = 127

.........

Answer:

A quadleratiral all of its sides are equal.... it has 4 sides and can i have brainliest? please i really need it

Step-by-step explanation:

Paralelogramo

de nada. P.s no hablo español. Jajaja

Answer:

84x³ - 50x² - 126x - 40

Step-by-step explanation:

→ Multiply all the lengths together

( 4x + 2 ) ( 3x - 5 ) ( 7x + 4 ) = 84x³ - 50x² - 126x - 40

Answer:

42 ft

Step-by-step explanation:

Add the lengths of the 4 sides.

perimeter = 11 ft + 10 ft + 11 ft + 10 ft = 42 ft

Answer:

angel dam is 55°

Step-by-step explanation:

just look at where the line between A and D cross the protactor

Answer:

58

Step-by-step explanation:

29 x 2 = 58

Havea great day!!

Please rate and mark brainliest!!

The absolute value equation is:

|x + 1.3| = x  + 1.3

The absolute value equation that we have is:

|x - b| = c

And we want that the solution set is all the numbers larger than -1.3

Now, remember that:

| something|  ≥ 0.

So the absolute value is always equal or larger than zero.

So, for example, the equation:

|x| = x

Only is true if x ≥ 0, because if x is smaller than zero, for example x = -2, we would have:

|-2| = -2

2 = -2

Which is false.

Now we want to have solutions larger than -1.3 instead of larger than zero, so we can write:

|x  + 1.3| = x + 1.3

The solution of this equation is the given set.

If you want to learn more about absolute values, you can read:

https://brainly.com/question/1782403

Answer:

8

Step-by-step explanation:

Line up numbers by order:

4, 5, 5, 7, 8, 8, 8, 10, 10

The cross out one number on each side, leading to the median of 8

=======================================================

Explanation:

Let's consider the number 39

We have 2 nonzero digits here, so we have 2 significant figures (sig fig for short).

The goal is to round this to one sig fig instead of two. The question is: do we keep the 3 or keep the 9 instead?

The answer is that we keep the 3 and toss the 9, but the 9 will mean we bump the 3 up to 4.

So 39 bumps up to 40 where the 0 is not a sig fig (review the many sig fig rules about how to deal with zeros). The zero is just a placeholder to help determine the magnitude of the number.

In other words, 39 is closest to 40 rather than 30. We can think of "40" as "4 tens" and even drop the unit "tens" to focus solely on that 4. It would be implied we're talking about the tens unit from then on. You hopefully agree at this point we definitely have one sig fig to focus on.

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

If we repeated the last set of steps for the number 38, then it also rounds to 40 when rounding to one sig fig. The same goes for 37, 36, and 35.

The values 35, 36, 37, 38, 39 all round to 40 when rounding to one sig fig.

Doing the same type of logic, but on the upper side of 40, we have the values {41,42,43,44} also rounding to 40. The value 45 won't work because it rounds to 50 instead.

Therefore, x can be any of the following integers:

35,36,37,38,39,40,41,42,43,44

and they all round to 40 when rounding to one sig fig.

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

The last step is to divide the smallest item of the last list mentioned over the largest item

35/44

The numerator and denominator have no factors in common other than 1. So the fraction cannot be further reduced.

traveledAnswer:

225 km

Step-by-step explanation:

We know that in 1 hour he will travel 90 km, so in 2 hours, he will travel double what he did in one, so multiply 90 by 2 and we get 180. If he travelled 90 km in 1 hour, then for half that time he traveled half the distance, so 90/2 is 45. Now add 180 and 45 and we get 225 km. Hope this helps!

Answer:

x=3

Step-by-step explanation:

apparently, brainly detection deleted my answer/explanation???

it wont let me show the steps, sorry

Answer:

Let "a" represent amount of ahi tuna, "c" represent California rolls, and "e" represent eel rolls.

John: 2a+c+e=26.20

Sally: 3c = 17.85

what color is the grass

Green. Thanks for the points

Answer:

you have to type it in so we can see it, but then ill solve for you

Step-by-step explanation:

Answer:

this is your ans ................

Step-by-step explanation:

your answer is x= -5 this is your answer

Answer:

P= 112,490.26207887

P= 112,490 (it should be a whole number for oliy represents the number of humans)

Step-by-step explanation:

1,240,000 = P e^(0.08×30)

1,240,000 = P e^(0.08×30)

________ ____________

e^(0.08×30) e^(0.08×30)

P = 112,490.26207887

or

1,240,000 = P e^(0.08×30)

____________ ____________

11.0231763806 11.0231763806

P = 112,490.26207887