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Mrac [35]
4 years ago
12

I can't solve this question

Mathematics
1 answer:
Jobisdone [24]4 years ago
5 0

Answer:

The answer is 9

Step-by-step explanation:

Given that a = √3 + √2 and b = √3 - √2 . To be more easier, we do it one by one :

First, a² :

(√3 + √2)(√3 + √2)

= 3 + √6 + √6 + 2

= 5 + 2√6

Second, ab :

(√3 + √2)(√3 - √2)

= 3 - √6 + √6 - 2

= 1

Third, b² :

(√3 - √2)(√3 - √2)

= 3 - √6 - √6 + 2

= 5 - 2√6

Then, evaluate a² - ab + b² :

5 + 2√6 - 1 + 5 - 2√6

= 9

(Hope this can help)

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the volume of a cylinder is 1,356.48^ feet. If the diameter is 12 feet, calculate the height of the cylinder.
Olin [163]

Answer:

11.99 ft

Step-by-step explanation:

The formula for the volume of a cyl. of radius r and height h is V = πr²h.

Solving this immediately for h yields:

         V

h = ----------

         πr²

Inserting the known quantities results in:

         V           1356.48 ft³

h = ---------- = ----------------------      Note that r = (1/2)d, so r = (1/2)(12 ft) = 6 ft

         πr²         3.14159 (6 ft)²

   =   11.994 ft

The height of the cyl. is 11.99 ft (to the nearest hundredth foot)

4 0
3 years ago
Algebra help!!! Will give stars.
Aleksandr [31]

Answer:

3

Step-by-step explanation:

there you go pal :)))))

4 0
3 years ago
Read 2 more answers
Any kind of clue please need help on this
Nikolay [14]

Similar polygons are made through scaling either by stretching or squeezing the sides all by a common ratio. Here, the size changes. Congruent polygons are made by shifting or reflecting their position. Here, the size does not change.

Choice A has a dilution (or squeezing) and a translation (shifting). That makes similar polygons.

Choice B has a rotation. Nope.

Choice C has a shifting and a reflection. Nope.

Choice D has a rotation and shifting. Nope.


Thus choice A is best.

7 0
4 years ago
Aiden and Jeremiah go to the movie theater and purchase refreshments for their friends. Aiden spends a total of $46.00 on 6 drin
kvv77 [185]

Answer:the cost of one drink is $7

the cost of 1 bag of popcorn is $6.5

Step-by-step explanation:

Let x represent the cost of one drink.

Let y represent the cost of 1 bag of popcorn.

Aiden spends a total of $46.00 on 6 drinks and 1 bag of popcorn. This means that

6x + y = 46 - - - -- - - - - - -1

Jeremiah spends a total of $134.00 on 12 drinks and 8 bags of popcorn. This means that

12x + 8y = 134 - - - - - - - - 2

Multiplying equation 1 by 8 and equation 2 by 1, it becomes

48x + 8y = 368

12x + 8y = 134

Subtracting equation 2 from equation 1, it becomes

36x = 234

x = 234/36 = 6.5

Substituting x = 6.5 into equation 1, it becomes

6 × 6.5 + y = 46

39 + y = 46

y = 46 - 39 = 7

3 0
4 years ago
Mrs.E bought 3 drinks and 5 sandwiches for $25.05 and Mr.E bought 4 drinks and 2 sandwiches for $13.80. How much does each drink
MAVERICK [17]

Answer:

$1.35

Step-by-step explanation:

Set up a system of equations, where d represents the price of one drink and s represents the price of one sandwich:

3d + 5s = 25.05

4d + 2s = 13.80

We can solve this by elimination by multiplying the top equation by -2 and multiplying the bottom equation by 5.

-6d - 10s = -50.1

20d + 10s = 69

Add them together:

14d = 18.9

d = 1.35

7 0
3 years ago
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