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kiruha [24]
2 years ago
12

Please help me with 6-14.

Mathematics
1 answer:
noname [10]2 years ago
3 0
5) 7√5


6) 6√3 - 2√27, or 2√27 = 2√(3² x 3)= 2x3√3 = 6√3, hence 6√3 - 6√3 =0

7) √5 . √20 = √(5.20) =√100 = 10

8) -3/√2. multiply numerator & denominator by √2 ==>(-3√2)/(√2 .√2) =-3√2/2

9) √5 (6√2 - √5)  = 6√10 - 5

10) (4-√3)(2+√3) = 8+√3 - 2√3-3 = 5-√3

11) (5+√3)². It's of the form of (a+b)² = a²+2ab+b² ==> 28+10√3

12) (9-√5)(9+√5) .It's of the form of (a-b)(a+b) =a² -b² =49-5 = 44

13) The conjugate of (a+√b) is (a-√b). Multiply numerator & denominator by the conjugate: 6(8+√2)/(8-√2)(8+√2) = (48+6√2)/(64-4) =48+6√2)/60
Simplify by 6 ===> (8+√2)/10

14) (2+√2) /(1-√2). Multiply by the conjugate of the denominator:
       (2+√2)(1+√2)/(1-√2)(1+√2) = . (4+3√2) / 1-2 = - (4+3√2)= -4-3√2

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114.9 million U.S. households owned at least one TV set. Of these households, 88% received basic cable. How many households owne
11Alexandr11 [23.1K]
Find the percentage of the household that didn't receive basic cable
100% - 88% = 12%
<em>This is the percentage of the household that didn't receive basic cable by the household owned TV set.</em>

Now find the number with the percentage
without basic cable = 12% × 114.9 million
without basic cable = 12/100 × 114,900,000
without basic cable = 13,788,000

<em>The number of households that didn't receive basic cable is 13,788,000 or 13,788 million</em>
6 0
3 years ago
Brett has 2 1/2 pounds of bird seed left to share equally among 4 bird cages in his pet shop. How many pounds can he put in each
Ksju [112]

Answer:

Brett can put \frac{5}{8}  = 0.625 pounds in each bird cage.

Step-by-step explanation:

The total amount of bird seed left = 2\frac{1}{2} pounds

=\frac{5}{2} pounds

Number of birds in pet shop  = 4

So, the share of each bird = \frac{\textrm{Total available seeds}}{\textrm{Total number of birds in the pet shop}}

= \frac{\frac{5}{2} }{4}  = \frac{5}{2}  \times \frac{1}{4}  = \frac{5}{8}

Hence, Brett can put  \frac{5}{8}   = 0.625 pounds in each bird cage.

6 0
3 years ago
Round your answer to the nearest hundredth
Anton [14]

Answer:

9.49

Step-by-step explanation:

Using the Pythagorean Theorem, we know a²+b²=c².

So 3²+9²=(BA)²

9+81=(BA)²

90=(BA)²

From this, we know BA=√90

BA=9.486

Rounding to the nearest hundredth, this is 9.49

Please consider a brainliest! Thank you!

7 0
2 years ago
The average distance in miles traveled in one hour if 660 miles can be covered in 1.5 hours
mariarad [96]

Answer:

440

Step-by-step explanation:

1.5 hours he 90 minutes

660/ 90=7.333

7.333*60 (which is how many minutes in an hour = 440 miles

6 0
3 years ago
Mark ran 875 miles in the track club this year . Mark ran in 52 track meets and ran the same number of miles in each . how many
dmitriy555 [2]

Answer:

16\frac{43}{52}

Step-by-step explanation:

875/52 = 16\frac{43}{52}

8 0
2 years ago
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