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3 years ago

How do i find the perimeter of this polygon?

Mathematics

2 answers:

alisha [4.7K]3 years ago

7 0

Perimeter = sum of all sides
so
P = 9 + 5 + 11 = 25
answer 25 cm

SCORPION-xisa [38]3 years ago

4 0

Well if it's supposed to be a right triangle the answer is 28.08 but it is a normal triangle the answer is 25 cm

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find the smallest number of terms of the AP "-54,-52.5,-51,-49.5" ....that must be taken for the sum of the terms to be positive

wel

The smallest number of terms of the AP that will make the sum of terms positive is 73.

Since we need to know the number for the sum of terms, we find the sum of terms of the AP

<h3>Sum of terms of an AP</h3>

The sum of terms of an AP is given by S = n/2[2a + (n - 1)d] where

n = number of terms,
a = first term and
d = common difference

Since we have the AP "-54,-52.5,-51,-49.5" ....", the first term, a = -54 and the second term, a₂ = -52.5.

The common difference, d = a₂ - a

= -52.5 - (-54)

= -52.5 + 54

= 1.5

<h3>Number of terms for the Sum of terms to be positive</h3>

Since we require the sum of terms , S to be positive for a given number of terms, n.

So, S ≥ 0

n/2[2a + (n - 1)d] ≥ 0

So, substituting the values of the variables into the equation, we have

n/2[2(-54) + (n - 1) × 1.5] ≥ 0

n/2[-108 + 1.5n - 1.5] ≥ 0

n/2[1.5n - 109.5] ≥ 0

n[1.5n - 109.5] ≥ 0

So, n ≥ 0 or 1.5n - 109.5 ≥ 0

n ≥ 0 or 1.5n ≥ 109.5

n ≥ 0 or n ≥ 109.5/1.5

n ≥ 0 or n ≥ 73

Since n > 0, the minimum value of n is 73.

So, the smallest number of terms of the AP that will make the sum of terms positive is 73.

Learn more about sum of terms of an AP here:

brainly.com/question/24579279

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4 0

2 years ago

Given cos ⁡ ( θ ) = 5/6 , then sin ⁡ ( θ ) = a/b .<br><br> Determine the values of a and b.

slega [8]

Answer:

a = √11 and b = 6

Step-by-step explanation:

Refer to attached picture for reference

for an right triangle with angle θ

we are given

cos θ = 5/6 = length of adjacent side / length of hypotenuse

hence

adjacent length = 5 units

hypotenuse length = 6 units

the missing side is the "opposite" length which we can find with the Pythagorean equation. in our case:

hypotenuse ² = adjacent ² + opposite² (rearrange)

opposite ² = hypotenuse ² - adjacent ²

opposite ² = 6² - 5²

opposite = √ (6²-5²) = √11

sin θ = opposite length / hypotenuse (substitute values above)

sin θ = √11 / 6

hence a = √11 and b = 6

3 0

3 years ago

0.8 is 10 times as great as what decimal

Aleks04 [339]

0.08.
0.8/10 is 0.08
the answer is 0.08

3 0

3 years ago

Find the radius and the diameter to the nearest hundredth when C = 6π yd. Use 3.14 for π.

weqwewe [10]

D=6 or 3x2 and R= 3.14 should be correct! hope this helps

3 0

3 years ago

Please help does anyone tutor or can like go dm me on Instagram so I can just ask a smart math person directly

Elis [28]

I think c? i’m not sure

6 0

3 years ago