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3 years ago

A right pyramid with a square base has a base length

Mathematics

2 answers:

Anna71 [15]3 years ago

3 0

Answer: The correct option is (A)

Option (A) is correct.

pogonyaev3 years ago

3 0

By looking at your problem I believe the answer is A

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What two numbers multiply to 54 and add up to 7

k0ka [10]

Xy = 54
x + y = 7

$xy = 54$
$\frac{xy}{x} = \frac{54}{x}$
$y = \frac{54}{x}$

$x + y = 7$
$x + \frac{54}{x} = 7$
$\frac{x^{2}}{x} + \frac{54}{x} = 7$
$\frac{x^{2} + 54}{x} = 7$
$x^{2} + 54 = 7x$
$x^{2} - 7x + 54 = 0$
$x = \frac{-(-7) \± \sqrt{(-7)^{2} - 4(1)(54)}}{2(1)}$
$x = \frac{7 \± \sqrt{49 - 216}}{2}$
$x = \frac{7 \± \sqrt{-167}}{2}$
$x = \frac{7 \± i\sqrt{167}}{2}$
$x = \frac{7 \± 12.9i}{2}$
$x = 3.5 \± 6.45i$
$x = 3.5 + 6.45i$ $or$ $3.5 - 6.45i$

x + y = 7
3.5 + 6.45i + y = 7
- (3.5 + 6.45i) - (3.5 + 6.45i)
y = 3.5 - 6.45i
  (x, y) = (3.5 + 6.45i, (3.5 - 6.45i)

  or

  x + y = 7
3.5 - 6.45i + y = 7
- (3.5 - 6.45i)   - (3.5 - 6.45i)
y = 3.5 + 6.45i
(x, y) = (3.5 - 6.45i, 3.5 + 6.45i)

The two numbers that add up to 7 and can multiply to 54 is 3.5 ± 6.45i.

5 0

3 years ago

Mia currently has 10 email subscribers to her blog and gains an average of 10 new subscribers per day. Julie currently has 100 e

user100 [1]

Answer:

Equations:

Mia: 10 + 10x = y

Julie: 100 - 5x = y

Solved: (6, 70)

Step-by-step explanation:

Mia: 10 + 10x = y

She already has 10 (10) and gains 10 (+10) per day (x). Total is y gained.

Julie: 100 - 5x = y

She already has 100 (100) and loses 5 (-5) per day (x). Total is y gained.

Then I simply solve

10 + 10x = y

100 - 5x = y

Resulting in (6, 70)

6 0

3 years ago

A car manufacturer builds trucks and cars both in red, blue, and green colors. Let B represent the set of all red vehicles produ

telo118 [61]

Answer:

Step-by-step explanation:

The universal set, U is a set of all vehicles produced by the manufacturer.

U = red, blue and green vehicles(both cars and trucks)

B = all red vehicles produced by the manufacturer(both cars and trucks)

C = red, blue and green trucks

C ' = all elements that are not in C but are in the universal set

C ' = red, blue and green cars

B intersection C ' = all elements that are common to set B and set C '. Therefore,

B intersection C ' = red cars

5 0

3 years ago

Select the TRUE statement below regarding aggregate supply in the long and short run.

Ivenika [448]

Answer:

The discovery of new resources can cause the LRAS curve to move.

Step-by-step explanation:

In the short-run, a new resource will not impact supply

Like the supply for maritime transportation when the steam-engine were invented.

At the beginning of the industrial revolution, the ship keep relying on sails. But, as time passes, the adoption of the new resource and method of production push the Long Run Aggregate Supply. As more transportation was possible with steam-engine using coal.

That will be the case for an improvement in the method of production. Then, following the same example, a change in a better quality of the resource like, replacing the coal engines with diesel engine generates an improvement in the quantity supplied as it is more efficient and can be used

4 0

3 years ago

Guys plz help me with a few problems

trasher [3.6K]

It probably gos like this here's my answer for number 1 6/8 and 9/12. for number 3, 10/12 and 15/18.

4 0

3 years ago