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SIZIF [17.4K]
3 years ago
7

PLEASEEEE HELPPP MEEE 6 and 7 PLEASE

Mathematics
1 answer:
Nitella [24]3 years ago
5 0

Answer:

Question 6

\left(5a+2\right)\left(a+4\right)=\:5a^2+22a+8

Question 7

The width is 2x.

Step-by-step explanation:

                                           Question 6)

Expand

(5a+2)(a+4)

solving to the expand

(5a+2)(a+4)

  • \mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd

a=5a,\:b=2,\:c=a,\:d=4

so the expression becomes

=5aa+5a\cdot \:4+2a+2\cdot \:4

=5aa+5\cdot \:4a+2a+2\cdot \:4

=5a^2+20a+2a+8

adding similar elements: 20a+2a=22a

=5a^2+22a+8

Hence,

\left(5a+2\right)\left(a+4\right)=\:5a^2+22a+8

                                                  Question 7)

Given

  • A\:=\:8x^2
  • l=4x

Using the formula

width = Area/Length

          =\:\frac{8x^2}{4x}

          =2x                  ∵ \mathrm{Divide\:the\:numbers:}\:\frac{8}{4}=2

Therefore, the width is 2x.

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Answer:

23

Step-by-step explanation:

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5 0
3 years ago
A right rectangular prism is 5 3/4 cm wide, 10 1/2 cm long, and 8 cm tall.
irina1246 [14]

Answer:

Multiply all the numbers and you will get your answer. It is 483 cm^3

Hope this helped, have an awesome day and please mark brainliest if u want too.

4 0
3 years ago
Need some help with this
kramer

Answer:

Step-by-step explanation:

The total number of outcomes the two fair number cubes are thrown is 36. This can be seen by counting the outcomes shown on the table.

a) for a sum of 4, there are only 3 possible outcomes. They are 3,2 2,2 and 1,3

Therefore, the probability of getting a sum of 4 will be

3/36 = 1/12

b) for a sum of 5, there are only 4 possible outcomes. They are 4,1 3,2 2,3 and 1,4

Therefore, the probability of getting a sum of 4 will be

4/36 = 1/9

c)for a sum of 6, there are only 5 possible outcomes. They are 5,1 4,2 3,3 2,4 and 1,5

Therefore, the probability of getting a sum of 6 will be

5/36 = 5/36

The probability that the sum of the results of the throw is 4,5 or 6 would be

1/12 + 1/9 + 5/36 = (3 + 4 + 5)/36 = 12/36 = 1/3

7 0
3 years ago
Please solve the eqution<br> Cos4x + cos2x - 2 =0
horrorfan [7]

cos4x = cos2x

We know that:

cos2x = 1-2cos^2 x

==> cos4x = 1-2cos^2 (2x)

Now substitute:

==> 1-2cos^2 (2x) = cos2x

==> 2cos^2 (2x) + cos2x - 1 = 0

Now factor:

==> (2cos2x -1)(cos2x + 1) = 0

==> 2cos2x -1 = 0 ==> cos2x =1/2 ==> 2x= pi/3

==> x1= pi/6 , 7pi/6

==> x1= pi/6 + 2npi

==> x2= 7pi/6 + 2npi

==> cos2x = -1 ==> 2x= pi ==> x3 = pi/2 + 2npi.

<span>==> x= { pi/6+2npi, 7pi/6+2npi, pi/2+2npi}</span>

6 0
3 years ago
A text book cost 65.49$ before tax. the tax on the textbook is 6.5%.what is the total cost of the textbook.
trapecia [35]
6.5% tax on $65.49=0.065×65.49=$4.26 To the nearest cent, so add this to 65.49=$69.75.
6 0
3 years ago
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