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tino4ka555 [31]
3 years ago
8

HELP

Mathematics
1 answer:
aleksklad [387]3 years ago
4 0

<em>f</em> is a function defined by

{(-3, 1), (-2, 2), (-1, -3), (0, -1), <u>(1, 3)</u>, (2, -2), (3, 0)}

so <em>f</em> (1) = 3. Then

<em>h</em> (<em>g</em> (<em>i</em> (<em>j</em> (<em>f</em> (1))))) = <em>h</em> (<em>g</em> (<em>i</em> (<em>j</em> (3))))

<em>j</em> is defined by

{(-3, 0), (-2, 1), (-1, 2), (0, -1), (1, -2), (2, 3), <u>(3, -3)</u>}

so <em>j</em> (3) = -3, and

<em>h</em> (<em>g</em> (<em>i</em> (<em>j</em> (<em>f</em> (1))))) = <em>h</em> (<em>g</em> (<em>i</em> (-3)))

And so on. Next you have <em>i</em> (-3) = 2, then <em>g</em> (2) = 0, and finally, <em>h</em> (0) = 0, so your answer is correct.

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Calculate the perimeter and area of the triangle formed by the coordinates K (-4,-1) ,L(-2, 2), and M (3,-1).
Y_Kistochka [10]

Perimeter = 16.4 units

Using the heron's formula, Area ≈ 10.4 units².

<h3>What is the Heron's Formula?</h3>

The heron's formula is used to find the area of a triangle with known side lengths of all its three sides, a, b, and c. The heron's formula is given as: Area = √[s(s - a)(s - b)(s - c)], where s = half the perimeter of the triangle

s = (a + b + c)/2.

Given the following:

K (-4,-1) ,

L(-2, 2),

M (3,-1)

Use the distance formula, d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}, to find KL, LM, and KM.

KL = √[(−2−(−4))² + (2−(−1))²]

KL = √13 ≈ 3.6 units

LM = √[(−2−3)² + (2−(−1))²]

LM = √34 = 5.8 units

KM = √[(−4−3)² + (−1−(−1))²]

KM = √49 = 7 units

Perimeter = 3.6 + 5.8 + 7 = 16.4 units

Semi-perimeter (s) = 1/2(16.4) = 8.2 units

KL = a ≈ 3.6 units

LM = b = 5.8 units

KM = c = 7 units

s = 8.2

Plug in the values into √[s(s - a)(s - b)(s - c)]

Area = √[8.2(8.2 - 3.6)(8.2 - 5.8)(8.2 - 7)]

Area = √[8.2(4.6)(2.4)(1.2)]

Area = √108.6336

Area ≈ 10.4 units²

Learn more about heron's formula on:

brainly.com/question/10713495

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8 0
1 year ago
4% of what days is 56 days
leva [86]
The answer would be 14 because 4x__=56 ? 4 x14 =56
6 0
3 years ago
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Ipatiy [6.2K]

The total number of people in the city surveyed by Annette= 480 people.

Step-by-step explanation:

Let 'X' be the Total Number of people Annette surveyed.

Out of Total people in the city, only <u>180 people are not interested</u> in a new shopping mall.

Therefore, it is given in the question that <u>180 is 37.5% of Total number of people surveyed (X).</u>

step 1: 180= (37.5/100)*(X)

step 2: X= (180*100)/37.5

step 3: X= 18000/37.5

step 4: X= 480

4 0
3 years ago
Liam has a bag that contains pineapple chews, cherry chews, and lime chews. He
dsp73

The probability that the next chew Liam removes from the bag will be a cherry chew is 0.03.

<h3>What is probability?</h3>

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.

We have:

Liam performs the experiment 62 times

Total number of outcomes = 62

A pineapple chew was selected 58 times.

A cherry chew was selected 2 times.

A lime chew was selected 2 times.

Now, the probability that the next chew Liam removes from the bag will be cherry chew:

P = 2/62

P = 1/31

P = 0.0322  or 0.03

Thus, the probability that the next chew Liam removes from the bag will be a cherry chew is 0.03.

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