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algol [13]
4 years ago
6

Find the exact values of sin A and cos A. Write fractions in lowest terms. A right triangle ABC is shown. Leg AC has length 24,

leg BC has length 32, and hypotenuse AB has length 40.

Mathematics
2 answers:
Airida [17]4 years ago
6 0

In this question , it is given that

A right triangle ABC is shown. Leg AC has length 24, leg BC has length 32, and hypotenuse AB has length 40.

And we have to find the values of sin A and cos A .

sin A  = \frac{opposite}{hypotenuse} = \frac{32}{40}

sin A = \frac{4}{5}

And

cos A = \frac{adjacent}{hypotenuse} = \frac{24}{40}

cos A = \frac{3}{5}

And these are the required values of sin A and cos A .

svetoff [14.1K]4 years ago
3 0
Sin A = 32/40 = 4/5

cos A = 24/40 = 6/10 = 3/5
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A sequence is defined by f(0) = -20, f(n) = f(n-1) - 5 forn > 1.
bulgar [2K]

Answer:

1. Proved down

2. proved down

3. f(10) = -20 - 5 - 5 - 5 - 5 - 5 - 5 - 5 - 5 - 5 - 5

Step-by-step explanation:

Let us explain how to solve the question

∵ f(0) = -20, f(n) = f(n - 1) - 5 for n > 1

→ That means we have an arithmetic sequence with constant

   difference -5 and first term -20

1. → f(1) means we need to find the second term, which equal the

      term - 5

∵ f(1) means n = 1

∴ f(1) = f(1 - 1) - 5

∴ f(1) = f(0) - 5

∵ f(0) = -20

∴ f(1) = -20 - 5 → Proved

2. → f(3) means we need to find the third term, which equal the

   second term - 5

∵ f(3) means n = 3

∴ f(3) = f(3 - 1) - 5

∴ f(3) = f(2) - 5

→ f(2) = f(1) - 5

∵ f(1) = -20 - 5

∴ f(2) = [-20 - 5] - 5 = -20 - 5 - 5

∴ f(3) = [-20 - 5 - 5] - 5

∴ f(3) = -20 - 5 - 5 - 5 → Proved

3. → From 1 and 2 we notice that the number of -5 is equal to n,

      at n = 1 there is one (-5), when n= 3 there are three (-5)

∵ n = 10

∴ There are ten (-5)

∴ f(10) = -20 - 5(10)

∴ f(10) = -20 - 5 - 5 - 5 - 5 - 5 - 5 - 5 - 5 - 5 - 5 → Proved

6 0
3 years ago
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4 years ago
What is f(-2) for the function f(x)= -3x + 8
NISA [10]

Answer:

f(-2)=14

Step-by-step explanation:

Given function:

f(x)=-3x+8

To find f(-2)

For the given linear function the x value represents the input values of the function or the domain of the function while f(x) represents the output values or the range of the function and is often refereed to as the y values of the function.

In order to find f(-2) we will plugin -2 in place of x in the function and evaluate it. It means our input value =-2 and we need to calculate the output value.

Thus,

f(-2)=-3(-2)+8

f(-2)=6+8    [ Product of two negative numbers is a positive number]

∴ f(-2)=14 (Answer)

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3 years ago
Find the equation of a line that passes through the point (0,4) and has a gradient of 2.
valina [46]

Answer:

y = 2x + 2

Step-by-step explanation:

y = mx+c

m = slope

c =y -intercept

Therefore, the required equation is:

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Putting the point (0,4) in it as it lies on a line, we get:

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Therefore:

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So, y = 2x + 2

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6 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Cbf%20%5Ccfrac%7B2%7D%7B7%7D%20%2B%5Ccfrac%7B3%7D%7B7%7D" id="TexFormula1" title="\bf \cfrac
Alenkinab [10]

Answer:

<h2><em><u>ᎪꪀsωꫀᏒ</u></em></h2>

=> 5/7

Step-by-step explanation:

2/7 + 3/7

=> 5/7

7 0
3 years ago
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