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Lubov Fominskaja [6]
4 years ago
11

Find the area of the triangle with the given measurements.Round the solution to the nearest hundredth if necessary.A=50 degrees,

b=31,c=18ft
Mathematics
1 answer:
Shkiper50 [21]4 years ago
8 0

Answer:

\large\boxed{A\approx213.71\ ft^2}

Step-by-step explanation:

Use the formula:

A=\dfrac{1}{2}bc\sin A

We have:

b=31\ ft,\ c=18\ ft,\ m\angle A=50^o\to\sin50^o\approx0.766

Substitute:

A=\dfrac{1}{2}(31)(18)(0.766)\approx213.71\ ft^2

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Each cupcake cost $1.50
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3 years ago
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PLS HELP!! PLSSSS, ITS 8TH GRADE!!​
ipn [44]

Answer:

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4 0
3 years ago
A right triangle has side lengths a, b, and c as shown below.
Musya8 [376]

Answer:

\bold{\sin x = \frac{b}{c}}\bold{\\\cos x = \frac{a}{c}}\bold{\\\tan x = \frac{b}{a}}

Step-by-step explanation:

Given that

A right triangle has side lengths a, b, and c

Because you did not attached photo of the right triangle so I will assume that:

  • Side a is the adjacent (A)
  • Side b is the opposite (O)
  • Side c is the hypotenuse (H)

(Please have a look at the attached photo)

To solve for the trigonometric functions of x, we need to recall the ratios they represent as shown below.

\sin x = \frac{O}{H}\\\cos x = \frac{A}{H}\\\tan x = \frac{O}{A}

EX: the sine of x is equal to the side opposite of angle x over the hypotenuse. Hence, we have the expressions of the trigonometric functions as shown below:

\bold{\sin x = \frac{b}{c}}\bold{\\\cos x = \frac{a}{c}}\bold{\\\tan x = \frac{b}{a}}

Hope it will find you well

4 0
3 years ago
Write a recursive formula and an explicit formula for the following arithmetic sequence. 14,17,20,23,26
Zarrin [17]

The recursive formula is a_{1} = 14;  a_{n} = a_{n-1} + 3

The explicit formula is a_{n}=3n+11

Step-by-step explanation:

The recursive formula of the nth term of the arithmetic sequence is

a_{1} = first term;  a_{n} = a_{n-1} + d, where

  • a_{1} is the first term in the sequence
  • a_{n} is the nth term in the sequence  
  • a_{n-1} is the term before the nth term  
  • n is the term number
  • d is the common difference.

The explicit formula of the nth term of the arithmetic sequence is

a_{n}=a+(n-1)d , where

  • a_{n} is the nth term in the sequence
  • a is the first term
  • n is the term number
  • d is the common difference

∵ The arithmetic sequence is 14, 17, 20, 23, 26

∴ The first term is 14

∵ 17 - 14 = 3

∴ The common difference is 3

∵ The recursive formula is a_{1} = first term;  a_{n} = a_{n-1} + d

∵ a_{1} = 14

∵ d = 3

∴ a_{1} = 14;  a_{n} = a_{n-1} + 3

The recursive formula is a_{1} = 14;  a_{n} = a_{n-1} + 3

∵ The explicit formula is a_{n}=a+(n-1)d

∵ a = 14

∵ d = 3

∴ a_{n}=14+(n-1)3

- Simplify the right hand side

∴ a_{n}=14+3n-3

- Add like terms

∴ a_{n}=3n+11

The explicit formula is a_{n}=3n+11

Learn more:

You can learn more about the sequences in brainly.com/question/7221312

#LearnwithBrainly

5 0
3 years ago
A man goes 15m due west and the 8m due north. He is 17m from the starting point...
Licemer1 [7]
True.
Using the pythrngeon theorem, we can say that west (15m) = A, north (8m) = B, and the 17m will be C.
For the theorem, it only holds true if a^2+b^2=c^2
So, if a = 15 and b = 8 , 15^2 = 225 and 8^2 = 64 .. 225+64=289.
Therefore c^2 must equal 289. The square root of 289 = 17, or 17^2=289. so the statement is true. 

4 0
3 years ago
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