What's the sum of Expression 1 and Expression 3?

options:

0.3


0.5


0.7


1.3

Answer:

1/6 is your answer

Step-by-step explanation:

The total surface area of doghouse is 5052 sq. inch and total volume of  doghouse is 16200 cubic inch

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,

In the given question, we have to find which shape is considered a composite shape and when the shape is decomposed, then the dimensions of the resulting shapes necessary for finding surface area.

The graph of the given question is:

The slice will be shaped in the manner shown by the red-lined pentagonal shape A. The slice will have the red-lined shape, which is a rectangle as indicated B.

The slice will have the red-lined shape, which is a rectangle as shown in C. Only the Pentagon, which is made up of a triangle and a rectangle as seen in D, is a composite shape in the image.

In the given shape the dimensions of triangle is 18 inch, 18 inch, 30 inch.

The dimensions of rectangle is 18 inch, 30 inch.

7 rectangles and 2 triangles are the total number of decomposed shapes.

Total Area of above rectangles = 36x18 + 36x18 + 36x18 + 36x18 + 30x36

Total Area of above rectangles = 2592 + 1080 sq. inch

Total Area of above rectangles = 3672 sq. inch

Area of decomposed rectangles = 30 x 18 +30x 18

Area of decomposed rectangles = 1080 sq. inch

Area of triangles = 0.5 x 10 x 30 + 0.5 x 10 x 30

Area of triangles = 300 sq. inch

Total surface area = 3672 + 1080 + 300

Total surface area = 5052 sq. inch

Total volume = Total volume of cuboid + Total volume of upper triangular region

Total volume of cuboid = 30 x 36 x 18

Total volume of cuboid = 10800 cubic inch

Total volume of upper triangular region = 0.5 x 30 x 10 x 36

Total volume of upper triangular region = 5400 cubic inch

Total volume = 10800 cubic inch + 5400 cubic inch

Total volume = 16200 cubic inch

To learn more about total volume link is here

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Simple interest formula:

Total = start value x (1 + rate x time)

Total = 600 x (1 + 0.12 x 6)

Total = $643.20

answer: B. $643.20

T= gt2 + v0t + h0 / h; where the yielding result will reveal the time when the object will reach the ground.

Answer:

the answer is c

Step-by-step explanation:

Answer:

[tex](\frac{1}{2},-\frac{1}{4})[/tex]

Answer:

4y-2 / 3

Step-by-step explanation:

I belive this is the answer

x³ = 27/125; and

x = 3/5.

explanation:

Reducing the voltage 3 times would result in multiplying the unknown voltage, x, by itself 3 times; this gives us

x³.

The current voltage is 27/125; this gives us the equation

x³ = 27/125.

To solve this, take the cubed root of both sides:

∛(x³) = ∛(27/125)

x = (∛27)/(∛125)

x = (∛(3*3*3))/(∛(5*5*5))

x = 3/5

Answer:

that d be $10.5

Step-by-step explanation:

...........

Answer:

I am guessing 0.36%

Step-by-step explanation:

9 divided by 4

Answer:

I hope this is what it's asking

Step-by-step explanation:

the advantage would be that basically you don't have to do any real number calculations, you just take all of the steps and put it into one, so if u had real numbers you could just plug them in with the equation

Answer:

11 x 5 cents is 55 cents
55 cents is equal to:
0.55 dollars
5.5 dimes
or 11 nickles

1 dime = 10 cents.
Since you have 7, you have a total of 70 cents.
70 cents is equal to:
0.7 dollars
or 14 nickles

In total you have:
1.25 dollars or
1 dollar and 25 cents.

Answer:

earned $30 means +30

spent $14 means -14 (he used the money to buy something meaning he loses some money)

spent $3.55 means -3.55 (again, he uses some money to buy something which means he loses this amount of money)

In this situation 0 means he either didnt gain/earn money or he spent all his money.

I hope this helps!

Step-by-step explanation:

Answer:

your answer is 12 inches hon!

Step-by-step explanation:

if we divide 864 by 6 we get 144 and the square root of 144 is 12!

Answer:

12

Step-by-step explanation:

volume of a cube = 6 × (length of edge)^2

let the length = X

hence,

6X^2 = 864

X = 12

[tex]\color{indigo}\rule{1pt}{1000000pt}[/tex]

Answer:

I believe it is 6

Step-by-step explanation:

The formula is length times width times height.

Answer:

its the third one

Step-by-step explanation:

cause if you muilty 16 and 10 you'll get the answer

Answer:

432

Step-by-step explanation:

To find the area of a trapezoid you use this equation:

A = 0.5 x h x (b1 + b2)

Answer:

No.

Step-by-step explanation:

the system of equations provided in the condition consists of two linear equations in slope-interception form. The slope of the 1st equation is equal to the slope of 2d equation. It means, the lines are parallel. In other words, no solution of this system, they are not correct.

Answer: no.

Answer:

Goscia

Step-by-step explanation:

The most accurate one is Goscia, it's closest to the answer.

Assume one kilometer is equal to x and 0.62:

x = 0.62

3 kilometers would be equal to what? Well, 3 * 1 kilometers or 3 * x = 3.0.62 = 1.86. The closest answer to this is Goscia's.

Answer:

at first :               circumference = 25.12 = pi*d--------> d= 25.12/ pi

after one minute: circumference = 75.63= pi*d------->  d= 75.63/pi

Step-by-step explanation:

A) minute 1) diameter = 7.995946004446154 mm

    minute 2) diameter = 24.07378170048816 mm

(I'll assume that you can round if necessary)

B) The diameter of the new ink spot is roughly 3X larger

           (technically 3.01074841 X larger)

Answer:

31.) you put a dot on one and go to the right

32.) you put a dot on ten and go to the left

Step-by-step explanation:

the absolute value part is honestly just to throw u off, it also helps if you read it aloud. so for example in # 31. is saying the absolute value of b minus 5 is greater or equal to 1, you could also think of it as any number is greater or equal to one. hope that helps!

when dealing with an absolute value expression, let's keep in mind that the expression once we remove the bars it has a ± version, so if the expression were say hmmm |a + b| = 25, if we remove the bars we really have a duet, namely ±(a + b) = 25, same if we had |a + b| > 25, then ±(a + b) > 25.

Tis noteworthy, that unlike "equalities", inequalities vary mainly on that, when we divide or multiply or exponentialize by a negative value, the inequality sign does a horizontal flip, it changes, so let's proceed

[tex]\boxed{31}\\\\ |b-5|\geqslant 1\implies \pm(b-5)\geqslant 1\implies \begin{cases} +(b-5)\geqslant 1\\ b\geqslant 6\\[-0.5em] \hrulefill\\ -(b-5)\geqslant 1\\ b-5\stackrel{\stackrel{notice}{\downarrow }}{\leqslant} -1\\ b \leqslant 4 \end{cases}~\hfill 6~~\leqslant ~~ b~~\leqslant ~~4[/tex]

[tex]\boxed{32}\\\\ |-2r|\leqslant 10\implies \pm(-2r)\leqslant 10\implies \begin{cases} +(-2r)\leqslant 10\\ -2r\leqslant 10\\ r\stackrel{\stackrel{notice}{\downarrow }}{\geqslant} \cfrac{10}{-2}\\\\ r\geqslant -5\\[-0.5em] \hrulefill\\ -(-2r) \leqslant 10\\ 2r \leqslant 10\\ r\leqslant \cfrac{10}{2}\\\\ r \leqslant 5 \end{cases}~\hfill -5~~\leqslant~~ r ~~\leqslant~~5[/tex]

Check the picture below.

Answer:

C. 100>6x+20

Step-by-step explanation:

He saves 6 every week therefore you must multiply that by x the number of weeks and add by 20 as he started off with 20 cards.

Mike has 3 brothers and 3 sisters

Kate has 4 brothers and 2 sisters

all the girls in the family are 3

hope it helps...!!!

Answer:

14 in is it not?

Step-by-step explanation:

Answer:

2 weeks

Step-by-step explanation:

There are 7 days in one week so 7+7 would equal two weeks which is 14

Answer:

54.872

Step-by-step explanation:

volume of a cube = s³

where s = side length

side length given here is 3.8

so volume = 3.8³ = 54.872

Answer:

54.872

Step-by-step explanation:

3.8 * 3.8 *3.8