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The volume of the given figure us = 36 cubic units

The formula for calculating the volume of rectangular prism is expressed as:

V =lwh

where

l is the length

w is the width

h is the height

T of the given figure is expressed as:

V = 2(3)(5) + 2(3)(1)

V = 30 + 6

V = 36 cubic units

Hence the volume of the given figure is 36 cubic units

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Answer:

Step-by-step explanation:

Remember:

[tex]cos(2A)=cos(A+A)=cos^2(A)-sin^2(A)=2cos^2(A)-1\\\\cos^2(A)=\dfrac{cos(2A)+1}{2} \\\\cos(A)=\pm\sqrt{\dfrac{cos(2A)+1}{2}} \\\\[/tex]

[tex]cos (\dfrac{A}{2} )=\pm\sqrt{\dfrac{1+cos(A)}{2} } \ with \left\{\begin{array}{c} \ +:\ if \frac{A}{2} \ is\ in\ I\ or\ IV\ quadran\\\ -:\ if \frac{A}{2} \ is\ in\ II\ or\ III\ quadran\\\end{array}\right.[/tex]

[tex]cos(\pi)=-1\\\\cos(\dfrac{\pi}{2} )=+\sqrt{\dfrac{1+(-1)}{2}} =0\\\\cos(\dfrac{\pi}{4} )=+\sqrt{\dfrac{1+0)}{2}} =\dfrac{\sqrt{2} }{2} \\[/tex]

[tex]cos(\dfrac{\pi}{8} )=\sqrt{\dfrac{1+\dfrac{\sqrt{2}}{2})}{2}} =\sqrt{\dfrac{1}{2} +\dfrac{\sqrt{2} }{4} }=\dfrac{1}{2} \sqrt{2+\sqrt{2} } \\\\\\cos(\dfrac{\pi}{16} )=\sqrt{\dfrac{1+\dfrac{1}{2}*\sqrt{2+\sqrt{2} } }{2}}\\\\\\=\sqrt{\frac{1}{2} +\frac{1}{4}*\sqrt{2+\sqrt{2} } } \\\\\\=\dfrac{1}{2}*\sqrt{2+\sqrt{2+\sqrt{2} } } \\\\[/tex]

Answer:

4/13 very identifies what Jaxson did wrong.

Step-by-step explanation:

The addition of the whole number part of the fraction was well done that is (8+7)

What Jaxson did wrong in his work was the addition of the fractions (⅗+⅛). They have different denominators and thus can't be added straightforwardly. the denominator has to be a common value.

The commission earned by Maram for the given month is $36,400

The given parameter:

The commission earned by Maram for the given month is calculated as follows;

[tex]amount \ earned = initial \ amount \times percentage\\\\amount \ earned =0.065(\$250,000) + 0.065(\$310,000) \\\\amount \ earned =\$ 36,400[/tex]

Thus, the commission earned by Maram for the given month is $36,400

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Answer:

x = ±12

Step-by-step explanation:

x^2 = 144

Take the square root of each side

sqrt(x^2) = sqrt(144)

x = ±12

Answer:

Choice 3

Step-by-step explanation:

[tex]\sqrt{144}[/tex] is the selected answer on the image since a squared can end up as regardlessly positive, whether it is negative or positive.

Answer:

4.25

Step-by-step explanation:

Answer:

I will help

Step-by-step explanation:

Answer:

0.51

Step-by-step explanation:

-32÷(-61)

in this case the subtraction have to cancel themselves

so it'll remain

32÷61

=0.508

approximately ~=0.51

Answer:

in this figure B: 32 square units

Answer:

I don't know about this thing

Answer:

Results will be out: 854/ 125 (Please note that the result is a decimal number)

Step-by-step explanation:

If you need me to explain the steps clearly, please let me know.

I'm not sure but hope it helps.

Answer:

[tex]\displaystyle a( 3 + 5a) - 4(a^2 +5) = a^2 + 3a - 20[/tex]

Step-by-step explanation:

We want to simplify the expression:

[tex]a( 3 + 5a) - 4(a^2 +5)[/tex]

Distribute:

[tex]\displaystyle = (3a + 5a^2) + ( -4a^2 - 20)[/tex]

Rearrange:

[tex]\displaystyle = (5a^2 - 4a^2) + (3a) + (-20)[/tex]

Combine like terms:

[tex]\displaystyle = a^2 + 3a -20[/tex]

In conclusion:

[tex]\displaystyle a( 3 + 5a) - 4(a^2 +5) = a^2 + 3a - 20[/tex]

Answer:

D. 25.5 m

Step-by-step explanation:

5.5m+5.5m=11m

4.5m-1m= 3.5m

3.5m+3.5m=7m

The middle vertical path is 3.5m

the middle horizontal path is 5.5m-1.5m=4m

The sum of all is 25.5m

Answer:

X=6+3y

y=x-6/3

Step-by-step explanation:

1)x-3y+3y=6+3y

            x=6+3y

2)3y+6=x

      3y=x-6

       y=x-6/3

Answer:

$192

Step-by-step explanation:

→ Set up equation

3.40h + 0.20u

→ Substitute in the numbers

( 3.40 × 40 ) + ( 0.20 × 280 )

→ Simplify

192

Answer:

192

Step-by-step explanation:

Make a formula, multiply the hourly wage by the number of hours she worked and add that to the number unit price multiplied by the number of units assembled. Then you 192

Even numbers are closed under addition.

Answer: True

Answer:

Even numbers are closed under addition.

Answer: True

Step-by-step explanation:

Answer:

x⁴/4

Step-by-step explanation:

(20x‐³/10x‐1)‐²

= > 20/10 = 2

so = (2x-³/x-¹)-²

= (2/x²)-²....................(a/b)-²=(b/a)²

= (x²/2)²

= x⁴/2

Step-by-step explanation:

0.5 goes first

0.44 goes second

2/5 goes third

3/8 goes fourth

Answer: There is an association because the distribution of correct guesses is the same among the mint groups.

Step-by-step explanation:

We would have to see the graph but I know it's either B or C because the other answer choices don't make sense. I chose B because it seems like the most logical choice of the two.

Answer:

If u decompose in prime factors,u get 175=52•7 so the smallest perfect cube is the number that we must multiply by 5 and by 7 so to create the smallest perfect cube,i.e. 53•73. This number is K=5•72=245

Answer:

I would say true

Step-by-step explanation:

f'(x)>0 is an increasing function

f''(x)<0 is concave down

2<3, 1/3<1/2

Answer:

Step-by-step explanation:

Remember:

[tex]\boxed{(1+y)^{\frac{1}{2} }= 1+\dfrac{y}{2} -\dfrac{y^2}{2*4} +\dfrac{1*3*y^3}{2*4*6} +K\ with -1 < y \leq 1 }\\\\\\Let\ say\ 4-x=1+y\ or\ y=3-x\\\\\\(4-x)^{\frac{1}{2} }=1+\dfrac{3-x}{2} -\dfrac{(3-x)^2}{2*4} +K\ with\ 2\leq x <4\\\\=\dfrac{29}{8} -\dfrac{5x}{4} +\dfrac{x^2}{8} +K\\[/tex]

Answer:

14

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

[tex]\\ \rm\longmapsto x^2-9y^2+3k[/tex]

[tex]\\ \rm\longmapsto x^2,-9y^2,3k[/tex]

Coefficients

[tex]\\ \rm\longmapsto x^2=1[/tex]

[tex]\\ \rm\longmapsto -9y^2=-9[/tex]

[tex]\\ \rm\longmapsto 3k=3[/tex]

Answer:

Step-by-step explanation:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

The domain is a description of the x-values used in the graph. It's the "how far left and right does the graph go?" description.

In the attached graph, you'll see this highlighted against the x-axis.

How far left does the graph go? How far right? Does it include the endpoints?