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Alexxandr [17]
4 years ago
15

Triangle KLM represents a section of a park set aside for picnic tables. The picnic area will take up approximately 400 square y

ards in the park.
Triangle K L M is shown. The length of K M is 45 yards and the length of L M is 20 yards. Angle L K M is 25 degrees.

Trigonometric area formula: Area = One-half a b sine (C)

To the nearest yard, what amount of fencing is needed to surround the perimeter of the picnic area?
Mathematics
1 answer:
stepladder [879]4 years ago
6 0

Answer:

107

Step-by-step explanation:

got it right... your welcome

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The sum of the series.<br><br> Can you explain how to do? Thanks!
Doss [256]

Answer:

  5115

Step-by-step explanation:

First of all, we need to assume there is a typo involved, and that the expression is supposed to be ...

  \displaystyle\sum_{i=1}^{10}{5\left(\dfrac{1}{2}\right)^i}

The values being summed look a lot like the general term of a geometric sequence:

  a_1(r^{n-1})

The exponents in the sum range from 1 to 10, so the values being summed range from 5/2 to 5/1024. In order for that to be the case with our general term, for r = 1/2, we must have a1 = 5/2 as we let n range from 1 to 10.

The sum of the terms of the geometric sequence is ...

  S_n=a_1\dfrac{1-r^n}{1-r}\\\\S_{10}=\dfrac{5}{2}\cdot\dfrac{1-\left(\dfrac{1}{2}\right)^{10}}{1-\dfrac{1}{2}}=\dfrac{5}{2}\cdot\dfrac{1023}{512}=\dfrac{5115}{1024}

The numerator of the fraction is ...

  x = 5115

_____

<em>Caveat</em>

If we have misinterpreted the intent of the problem statement, the answer will be different.

6 0
3 years ago
The perimeter of △MTV is 605 in.<br><br> MV = ?<br><br> m∠M = ?
swat32

Answer:

MV = 160 (and %50 sure) X = 27

Step-by-step explanation:

To find MV we just have to subtract the two lengths of the perimeter that we do know, minus the total perimeter, and find the difference. (using that its, 605-160-285 = 160) with that knowledge, we can say two things. MV = 160, and <V = <T by the two side lengths being congruent. With that, we can say that X + X +X+99 = 180, and then just find X, 27+27+27+99=180.

8 0
4 years ago
The Earth is 1.49 × 108 kilometers from the Sun, multiply this expression by the given power of 10.
soldier1979 [14.2K]
1.49 × 10^8

*just move the decimal point 8 places to the right.

149,000,000

hope this helps :)



7 0
3 years ago
Does 36x+24=12(x+2+2x) , have no solution, one solution, many solutions?
Reika [66]

Answer:

No solution

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Prove each of these identities.
Stella [2.4K]

Answer:

Identity (a) can be re-written as

sec x\ cosec x  - cot x = tan x

which we already proven in another question, while for idenity (b)

(A)\frac 1 {sin x} -sin x = cos x \frac{cos x}{sin x}\\\\(B)\frac {1-sin^2x}{sin x} = \frac {cos^2x} {sin x} \\\\(C) \frac {cos^2x}{sin x} =\frac {cos^2x} {sin x}

step A is simply expressing each function in terms of sine and cosine.

step B is adding the terms on the LHS while multiplying the one on RHS.

step C is replacing the term on the numerator with the equivalent from the pithagorean identity cos^2x  + sin^2x = 1

8 0
2 years ago
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