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Firdavs [7]
3 years ago
13

To approximate the length of a marsh, a surveyor walks x=420 meters from point A to point B,then turns 75 degrees and walks 220

meters to point C (see figure). Approximate the length AC of the marsh. (Round your answer to one decimal place.)
Mathematics
1 answer:
enot [183]3 years ago
6 0

To approximate the length of a marsh, a surveyor walks x=420 meters from point A to point B,then turns 75 degrees and walks 220 meters to point C (see figure). Approximate the length AC of the marsh. (Round your answer to one decimal place.)

<u>37.1 meters.</u>

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find the length of each isosceles right triangle when the hypotenuse of the given measure given 5 to the square root of 6
iragen [17]

In isosceles right triangle, legs are equal. Let each leg is of x units . And the given hypotenuse is 5 square 6. We use pythagorean identity here, which is

a^2 + b^2 = c^2

Where a=b=x and c= 5 square root 6

x^2 +x^2 =(5 \sqrt6)^2

2x^2 = 150

x^2 =75

x= 5 \sqrt 3

And that's the length of both the legs . ANd that's the required answer .

8 0
3 years ago
Y intercept = 1 and parallel to y = 4x - 3
gregori [183]
When a line is parallel to another line, that means both lines have the same slope.

Since the standard form equation for a line is y = mx + b where m is our slope and b is our y-intercept, we know that the new equation will also have m=4.

They give us the y-intercept, b=1

So oue new equation is as follows...

y = 4x + 1
7 0
3 years ago
Question 2 of 5
AlekseyPX

Given:

The different recursive formulae.

To find:

The explicit formulae for the given recursive formulae.

Solution:

The recursive formula of an arithmetic sequence is f(n)=f(n-1)+d, f(1)=a,n\geq 2 and the explicit formula is f(n)=a+(n-1)d, where a is the first term and d is the common difference.

The recursive formula of a geometric sequence is f(n)=rf(n-1), f(1)=a,n\geq 2 and the explicit formula is f(n)=ar^{n-1}, where a is the first term and r is the common ratio.

The first recursive formula is:

f(1)=5

f(n)=f(n-1)+5 for n\geq 2.

It is the recursive formula of an arithmetic sequence with first term 5 and common difference 5. So, the explicit formula for this recursive formula is:

f(n)=5+(n-1)(5)

f(n)=5+5(n-1)

Therefore, the correct option is A, i.e., f(n)=5+5(n-1).

The second recursive formula is:

f(1)=5

f(n)=3f(n-1) for n\geq 2.

It is the recursive formula of a geometric sequence with first term 5 and common ratio 3. So, the explicit formula for this recursive formula is:

f(n)=5(3)^{n-1}

Therefore, the correct option is F, i.e., f(n)=5(3)^{n-1}.

The third recursive formula is:

f(1)=5

f(n)=f(n-1)+3 for n\geq 2.

It is the recursive formula of an arithmetic sequence with first term 5 and common difference 3. So, the explicit formula for this recursive formula is:

f(n)=5+(n-1)(3)

f(n)=5+3(n-1)

Therefore, the correct option is D, i.e., f(n)=5+3(n-1).

6 0
3 years ago
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stellarik [79]

C is the correct answer hope this helps you and have a great day

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6 apples were originally in the bag
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