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sergeinik [125]
3 years ago
15

6a = a+60 what is the value of a?

Mathematics
1 answer:
USPshnik [31]3 years ago
3 0

Answer:

a = 12

Step-by-step explanation:

Given

6a = a + 60 ( subtract a from both sides )

5a = 60 ( divide both sides by 5 )

a = 12

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A triangle has side lengths of 34 in., 20 in., and 47 in. Classify it as acute, obtuse, or right.
Anestetic [448]
34^2 + 20^2 = 1156 + 400 = 1556

47^2 = 2209

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In the diagram, what is the value of x ?
Iteru [2.4K]

the value of x is 36 degree

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How much space does the triangle cover? Triangle with a base of 4 cm and a height of 12 cm Group of answer choices
aleksley [76]

Answer:

24 square centimeters

Step-by-step explanation:

How much space does the triangle cover? Triangle with a base of 4 cm and a height of 12 cm

We are to find the area of the triangle

Area of the Triangle = 1/2 × Base × Height

= 1/2 × 4 × 12

= 24 square centimeters.

Therefore, the triangle will cover a space of 24 square centimeters.

3 0
3 years ago
Find a power series representation of e^x sin(x)
liberstina [14]
The Taylor series is defined by:
f(x) = \sum \frac{f^n (a)}{n!} (x-a)^n

Let a = 0.
Then its just a matter of finding derivatives and determining how many terms is needed for the series.

Derivatives can be found using product rule:
f^n (x) = e^x g^{n-1} (x) + e^x g^n (x)  \\ g^0 (x) = sin x

Do this successively to n = 6.
f^1 (x) = e^x (sinx +cos x) \\ f^2 (x) = e^x (2cos x)  \\ f^3 (x) = e^x(2cos x - 2sin x)  \\ f^4 (x) = e^x (-4 sin x)  \\ f^5 (x) = e^x(-4sinx -4cos x) \\ f^6(x) = e^x(-8cos x)

Plug in x=0 and sub into taylor series:
e^x  sin x = x+x^2 +\frac{x^3}{3} -\frac{x^5}{30}-\frac{x^6}{90}...

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6 0
3 years ago
A baseball team played 130 games in a season. If it won sixteen more games
egoroff_w [7]

Answer:

The team has 92 wins and 38 losses.

Step-by-step explanation:

In a season 130 games are played by a baseball team.

Let us assume that the team wins x games and losses y games.

Therefore, we can write, x + y=130....... (1)

It is given that if the team won sixteen more games twice as many games as it lost.

So, we can conclude that x =2y+16 ......(2)

Hence, solving equations (1) and (2) we get, (2y+16) + y =130

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⇒ y =38

And from equation (2), x = 2×38 + 16 = 92

Therefore, the team has 92 wins and 38 losses. (Answer)

4 0
3 years ago
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