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Minchanka [31]
3 years ago
10

Solve the system by either substitution or elimination

Mathematics
1 answer:
kipiarov [429]3 years ago
6 0
The answer to the equation 3x-5y=21, 2x+y=1 is (2, -3)
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Step-by-step explanation:

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3 years ago
What is the answer to 13% of eighty nine
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Answer: 26.7 is 13% of 89

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From his eye, which stands 1.59 meters above the ground, Francisco measures the
viva [34]

The height of the skyscraper to the nearest tenth is 234. 95 meters.

<h3>How to determine the height</h3>

From the information given, we have:

  • angle of elevation = 32°
  • length of the base, adjacent side = 376 meters
  • height of the skyscraper, opposite side = x meters

To determine the height of the elevator, let's use the tangent identity

We have that;

tan θ = opposite/ adjacent

The value of the opposite side is 'x' which is the height of the skyscraper and the value of the adjacent side is 376 meters which is the length of the base of the skyscraper

Now, substitute the values, we have;

tan 32 = x/ 376

cross multiply

x = tan 32 × 376

x = 0. 6249 × 376

x = 234. 95 meters

We know that the 'x' represents the opposite side and thus the height of the skyscraper

Thus, the height of the skyscraper to the nearest tenth is 234. 95 meters.

Learn more about angle of elevation here:

brainly.com/question/19594654

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7 0
2 years ago
The nth term of a sequence is 2n2 + 1 The nth term of a different sequence is 65 - 2n2. Show that there is only 1 number that is
HACTEHA [7]

Answer:

The only common term is 33.

Step-by-step explanation:

We are given the following in the question:

Sequence 1:

n^{th}\text{ term: } 2n^2 + 1

Sequence 2:

n^{th}\text{ term: } 65 - 2n^2

Equating the two terms, we get,

2n^2 + 1 = 65 - 2n^2\\4n^2 = 64\\\\n^2 = \dfrac{64}{4}\\\\n^2 = 16\\n = \pm 4

Since, n cannot take a negative value, we get n = 4.

Thus, there is only 1 common term both the series have for n = 4.

Common term:

2(4)^2+ 1 - 65-2(4)^2 = 33

Thus, the only common term is 33.

8 0
3 years ago
John and Alan have a collection of x baseball cards. John has x/4 cards. What fraction of the cards does Alan have?
Furkat [3]
The fraction of cards that Alan has is 3x/4. The correct answer is B. 

x-x/4
4x-x/4
3x/4
he has 3x/4 cards
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3 years ago
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