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gayaneshka [121]
2 years ago
5

Please help and explain your work

Mathematics
1 answer:
Ilia_Sergeevich [38]2 years ago
6 0

Answer:

416mm³

Step-by-step explanation:

Volume of rectangular prism

= 10.4mm × 5mm × 8mm

= 416mm³

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Please help<br><br>numbers 42, 43, 44
Aleks [24]
<h3>Answer:</h3>

42.  29°

43.  3x³ +2x² -3x +10

44.  20a² +68a

<h3>Step-by-step explanation:</h3>

42.  The right-angle corner tells you the two marked angles are complementary — they sum to 90°.

  (-3x +20)° + (-2x +55)° = 90°

  -5x +75 = 90 . . . . . . . . . . collect terms, divide by °

  -5x = 15 . . . . . . . . . . . . . . . subtract 75

  x = -3 . . . . . divide by the coefficient of x

The angle of interest is (-3x+20)°. Filling in the found value for x, we have ...

  (-3·(-3) +20)° = 29° = m∠BDC

___

43.  The distributive property is useful for multiplying polynomials.

  (x +2)(3x² -4x +5) = x(3x² -4x +5) +2(3x² -4x +5)

  = 3x³ -4x² +5x +6x² -8x +10 . . . . . eliminate parentheses

  = 3x³ +2x² -3x +10

___

44.  Area is the product of length and width, so this becomes a problem in multiplying polynomials.

  area = (5a +17)(4a) = 20a² +68a . . . . area in square feet

3 0
3 years ago
Find the area of the figure below:
SpyIntel [72]

The total area is 407.4262m²

3 0
2 years ago
Show correct answers only!! i need asap!!
SOVA2 [1]

Answer:

11 1/2 aka D

Step-by-step explanation:

add 7 and 4 which is 11, then add 1/4 and 1/4 which is 1/2

4 0
3 years ago
Read 2 more answers
The amount of liquid a bottle cap can hold would most likely be measured in
vichka [17]
The answer is: Milliliters
3 0
3 years ago
A department store buys 200 shirts at a cost of $5,400 and sells them at a selling
jekas [21]

Number of shirts a department store bought = 200

Cost price of 200 shirts = $5400

Cost price of 1 shirt :

=\tt  \frac{5400}{200}

\color{plum} =\tt \$27

Thus, the cost price of one shirt = $27

Price at which the department store sold each shirt = $30

Which means :

▪︎Cost price of shirt = $27

▪︎Selling price of shrit = $30

Since selling price is greater than cost price, there was a markup in the price of the shirts.

We know that :

\color{hotpink}\tt \: markup \: percentage = \color{plum}  \frac{selling \: price - cost \: price}{cost \: price }  \times 100

Markup percentage in the price of the shirts :

=  \tt \frac{30 - 27}{27}  \times 100

=  \tt \frac{3}{27}  \times 100

= \tt  \frac{3 \times 100}{27}

= \tt  \frac{300}{27}

\color{plum} =  \tt11.1  \%

Thus, the percentage of markup = \tt 11.1  \%

Therefore, the percentage of markup in the shirt's price = \color{hotpink} \tt11.1  \%

3 0
3 years ago
Read 2 more answers
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