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guajiro [1.7K]
2 years ago
5

Find the value of x and y​

Mathematics
1 answer:
Svetllana [295]2 years ago
4 0

Answer:

x = 1

y = -3

Step-by-step explanation:

cos(pi) = -1

so many ways :

sqrt(0.5/2) = sqrt(0.5/2 × 8/8) = sqrt(4/16)

= sqrt(0.5/2 × 18/18) = sqrt(9/36)

= sqrt(1/4) = 1/2

"nicest" approach (all integers) :

3x² = sqrt(9)

3x² = 3

x² = 3/3 = 1

x = 1

2y = sqrt(36)

2y = 6

y = 6/2 = 3

one of them has to be negative (because cos(pi) = -1), so it has to be y, because 3x² cannot be negative with real numbers.

so, y = -3

-1 × 3×1²/(2×-3) = sqrt(0.5/2) = 1/2

-1 × 3/-6 = 1/2

3/6 = 1/2

1/2 = 1/2

correct

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Answer:

Step-by-step explanation:

Volume of a pyramid = \frac{1}{3}(\text{Area of the rectangular base})(\text{Height})

Area of the rectangular base = Length × Width

                                                = 8 × 6

                                                = 48 mm²

Volume of the pyramid = 192 mm³

192 = \frac{1}{3}(48)h

h = \frac{192}{16}

h = 12 mm

Therefore, all the pyramids having height less than 12 mm will be fitted inside the given pyramid.

   Height of the box(mm)        Yes/No

                    10                             Yes

                    13                              No

                     8                             Yes

3 0
3 years ago
How many cubic feet are in 3 cubic yards?
dimaraw [331]
For every cubic yard, it equals to 27 cubic feet.

So, could have this fraction \frac{27 feet^3}{1 yards^3}
And we want to convert 3 cubic yards into cubic feet.

We can express 3 cubic yards as \frac{3 yards^3}{1}

Now multiply the \frac{3 yards^3}{1} fraction by the second fraction or the reciprocal of the second fraction to cancel out the yards^3 units.

\frac{3 yards^3}{1} * \frac{27 feet^3}{1 yards^2} =  \frac{81 feet^3}{1}

So, 3 cubic yards to equal to 81 cubic feet.
4 0
3 years ago
Bryan used the six steps to solve this problem. On one of the steps, he decided that he would use multiplication and addition to
Vera_Pavlovna [14]
Bryan used step 4 to help him decide. 
5 0
3 years ago
In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Meen
antiseptic1488 [7]

The probability that the next person will purchase exactly one costume is 67%.

<h3>How to calculate the probability?</h3>

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.

53 visitors purchased no costume.

151 visitors purchased exactly one costume.

22 visitors purchased more than one costume.

Total visitor = 53 + 151 + 22

= 226

Probability that the next person will purchase exactly one costume will be:

= Those with one custome / Total visitors × 100

= 151 / 226 × 100

= 67%

The probability is 67%.

Learn more about probability on:

brainly.com/question/24756209

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