Hi can someone please help me with these!

Perimeter = 16.4 units

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

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 = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex], 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

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Answer:

85°

Step-by-step explanation:

→ Find the sum of the angles in the triangle

53 + 42 = 95

→ Find what the sum of angles in a triangle should be

180

→ Subtract 95 from it

180 - 95 = 85°

The fifth angle measure of the polygon is 112°

Since a pentagon is made up of three triangles, its total angles are 3 * 180 * 540. The following formula may be used to get the pentagon's total interior angles: We are aware that the interior angle sum of a polygon with n sides is equal to (n - 2) 180°.

Let the missing angle be x.

The sum of the angles of pentagon is 540°

540 = 100 + 103 + 111 + 114 + x

540 = 428 + x

x = 540 - 428

x = 112

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The maximum number of performers in each row so that all the rows are equal in length is C. 16.

It should be noted that there are 48 instruments and 32 flag bearers and only one type of performer can be in each row.

The maximum number of performers in each row so that all the rows are equal in length will be the highest common factor between both numbers.

It should be noted that the highest common factor between 32 and 48 is 16

Therefore the correct option is C.

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Using the probability concept, it is found that:

a) The probability is 0.682.

b) The probability is 0.578.

c) A student given a $1 bill is more likely to have spent the money than a student given four quarters.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

For item a, we have that out of the 44 students that were given four quarters, 30 students spent money purchasing gum, hence:

p = 30/44 = 0.682.

The probability is 0.682.

For item b, we have that out of 45 students that were given a $1 bill, 26 kept the money, hence:

p = 26/45 = 0.578.

The probability is 0.578.

Hence the correct option for item c is:

A student given a $1 bill is more likely to have spent the money than a student given four quarters.

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Answer:

5.7

Step-by-step explanation:

5.666666666 can be rounded to 5.7 because the first decimal place occurs immediately after the decimal point.

I.e. in the number 1.23456, the first decimal place value is 2.

Meaning when we round, we look at the second decimal place. Given that 5.666666666 has a second decimal place greater that 5, we can round to 5.7

The algebraic expression is (3 - 2 - 13) and  simplification of the expression is -12

For simplification we have to first write the expression as given in word form and then simplify according to the algebraic rule

Given expression is 3 more than sum of -2 and -13

we will write the given expression in algebraic form as follows:

i.e. 3 + (-2) +( -13)

i.e. 3 - 2 - 13

i.e. 3 - 15

i.e. -12

Final answer: the simplification of the given expression is -12 and algebraic expression is (3-2-13)

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Answer: k=(2r-bp)/p

Step-by-step explanation:

r = p/2 (b+k)

r = p/2 * (b+k)

r*2=2*p/2 * (b+k)

2r=p * (b+k)

2r/p=p(b+k)/p

b+k=2r/p

b-b+k=2r/p - b

k=2r/p - bp/p

k=(2r-bp)/p

Answer:

none of above or number 1 or "2 or " 3

The APR of the given transaction to the nearest tent of a percent is; 4.8%

We find how much you will pay for the car using the down and monthly payments:

3290 + 333.97(48) = $19608.56

Thus, the interest is:

I = (19608.56 - 16450) = $3158.56

Use the simple interest formula:

I = Prt

where;

I is the interest.

P is the principal.

r is the interest rate is the time in years.

Substitute I = $3158.56, P = $16450, and t = 4 years (48 months):

Thus;

3158.56 = (16450)r(4)

Expanding gives;

​3158.56 = 65800r

r = 3158.56/65800

r ≈ 0.048 = 4.8%

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Answer:

Step-by-step explanation: -5

Answer:

-5

Step-by-step explanation:

The pattern is decreasing by 5, so 0-5= -5

Hope this helps :D

The number of short-sleeve shirts ordered is 150.

The number of long-sleeve shirts ordered is 225.

23s + 28.50l = $9,862.50 equation 1

s + l = 375 equation 2

Where:

s = number of short-sleeve shirts ordered

l =  number of long-sleeve shirts ordered

The first step is to multiply equation 2 by 23

23s + 23l = 8,625 equation 3

Subtract equation 3 from equation 2

1237.50 = 5.5l

Divide both sides by 5.5

l = 225

s = 375 - 225 = 150

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Answer:

neither

Step-by-step explanation:

Answer:

595.

Step-by-step explanation:

Take $2000 and subtract $810 from it. You now have the total of the two pieces of equipment without the extra pricing. You should get $1,190. Then divide that number by 2. You will get $595.

1st Piece of Equipment = $595

2nd Piece of Equipment = $1,405

2nd Piece is $810 more expensive and the two pieces combined is $2,000.

Answer:

I LOVE SWEETN TO GIRLY POP

Step-by-step explanation:

The area of the base of a prism with a square base is 7,200,000/h cm to the 2nd power.

The formula for volume of square prism is given as,

Volume of a square prism = (Base Area) × Height.

Now it is given that,

Volume of prism = 7,200,000 cm to the 3rd power

Height of prism = h cm

Since, Volume of a square prism = (Base Area) × Height

Putting the values we get,

7,200,000 = (Base Area) × h

Rearranging we get,

Base Area = 7,200,000 / h cm to the 2nd power

Thus, the area of the base of a prism with a square base is 7,200,000/h cm to the 2nd power.

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The number of standard deviations from the mean that include all

data values is two.

From the gathering of information, we will see that the minimum worth is $19.95 and also the most worth is $29.95. So , we would like to seek out the amount of normal deviations, let's decision it "a" , such that[tex]\overline x $\color \ - a\cdot\sigma \le 19.95}[/tex] and   [tex]\overline x $\color \ +a\cdot\sigma \geq 29.95}[/tex]

Use the given values of mean  [tex]\overline x[/tex] and normal deviation (σ) to notice the worth of "a".

         [tex]\overline x $\color \ - a\cdot\sigma \le 19.95}\\25.07\ - 2.62a \leq 19.95\\5.12\leq 2.62a\\1.9541\leq a[/tex]

On rounding off we get a = 2

Checking another inequality

         [tex]\overline x $\color \ + a\cdot\sigma \geq 29.95}\\25.07 \ + 2(2.62) \geq 29.95\\25.07 + 5.24 \geq 29.95\\30.31\geq 29.95[/tex]

Thus , 2 standard deviation include the all values from the given set of data .

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126305.622 is the town's population after 2 years on percentage  7.4.

What percentage means?

percentage , which is a relative figure used to denote hundredths of any quantity. Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.

P=  109,500

r = rate =7.4/100

t = time = 2 years

Based on the given conditions, formulate [tex]109,500 . ( 7.4 /100 + 1 )^{2}[/tex]

                                                   = 109500 ( 107.4)²

                                                    = 109500 × 107.4 × 107.4

Evaluate the equation/expression = 126305.622

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1. The equation is: y = 35x + 50

2. The significance of the slope is: A. The ant travels at an average of 35 meters per minute.

3. Distance would be 490 meters.

4. Number of minutes will be: 16.

Given that x = minutes, and y = distance, then we would have the following coordinates:

(2, 120)

(6, 260)

1. The slope (m) = change in y / change in x = 260 - 120 / 6 - 2

Slope (m) = 35

Substitute m = 35, and (x, y) = (2, 120) into y = mx + b to find b

120 = 35(2) + b

120 = 70 + b

120 - 70 = b

b = 50

Substitute m = 35 and b = 50 into y = mx + b to write the equation

y = 35x + 50

2. The slope of the graph 35.

The significance of the slope is: A. The ant travels at an average of 35 meters per minute.

3. When x = 14, we have:

y = 35(14) + 50

y = 490

Distance would be 490 meters.

4. Substitute y = 610 into y = 35x + 50

610 = 35x + 50

610 - 50 = 35x

560 = 35x

560/35 = 35x/35

16 = x

x = 16

Number of minutes will be: 16.

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Answer:

1st answer indeed

Step-by-step explanation:

ok so the steps are included in the given answer. hope you can figure it out. if not let me know. (:

Answer:

16%

Step-by-step explanation:

Just divide 8 by 50

8 ÷ 50 = 0.16

Then move the decimal two places to the right

Answer: 16% tip

Step-by-step explanation:

50 x .16 = 8

The mean age of the residents of a small town will be 27.74.

Midpoints of classes are:

4.5, 14.5, 24.5, 34.5, 44.5, 54.5, 64.5, 74.5, 84.5, 94.5

Hence,

Mean = (4.5*283 + 14.5*202 + 24.5*215 + 34.5*256 + 44.5*175 + 54.5*90 + 64.5*23 + 74.5*21 + 84.5*15 + 94.5*3)/(283 + 202 + 215 + 256 + 175 + 90 + 23 + 21 + 15 + 3)

Mean = (1273.5 + 2929 + 5267.5 + 8832 + 7787.5 + 4905 + 1483.5 + 1564.5 + 1267.5 + 283.5) / 1283

= 35593.5/1283

= 27.74

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Answer:

a) 5600

b) 5600

Step-by-step explanation:

[tex]a) \: ( - 0.1 \times {140}^{2} ) + (34 \times 140) + 2800 \\ ( - 0.1 \times 19600) \: + 4760 + 2800 \\ - 1960 + 4760 + 2800 = 5600 \\ \\ b) \: ( - 0.1 \times {200}^{2} ) + (34 \times 200) + 2800 \\ ( - 0.1 \times 40000) + 6800 + 2800 \\ - 4000 + 6800 + 2800 = 5600[/tex]

Answer:

유리수는 정수이며 x/y 형식으로 표현될 수 있는 숫자입니다. 여기서 분자와 분모는 모두 정수입니다. 무리수는 분수로 나타낼 수 없는 수입니다.  17은 정수이고 48은 소수 부분인 십진수 17.48의 예입니다.7/10000은 0.0007과 같은 소수 형식으로 작성된 소수 분수입니다. 19/10은 1.9와 같은 소수 형식으로 작성된 소수입니다. 39/1000은 0.039로 표기된 소수입니다. 모든 정수는 분수로 깔끔하게 변환될 수 있으며 유리수입니다. 예를 들어 3은 3/1로 표현할 수 있습니다. 그리고 분자(3)와 분모(1)가 모두 정수이고 분모가 0이 아니므로 3은 유리수입니다.종료 소수점 또는 반복 소수점으로 쓸 수 있습니다.

Step-by-step explanation:

이것이 당신을 돕기를 바랍니다.

Answer:

  (41, 43, 45)

Step-by-step explanation:

You want three consecutive odd integers such that the sum of the first and third is 43 more than the second.

Let n represent the middle (second) of the integers. Then the first is (n-2) and the third is (n+2). The given relation can be written as the equation ...

  (n -2) +(n +2) = n +43

Simplifying gives ...

  2n = n +43

  n = 43

  n-2 = 41

  n+2 = 45

The three integers are (41, 43, 45).

__

Additional comment

When working consecutive integer problems, it often works well to let a variable represent the middle one, or their average value.

After solvong the expression (1/6x - 10) + (2/3x -10) the value is 60x² + 1 = 62x.

So, (1/6x - 10) + (2/3x -10):

Now,

Therefore, after solvong the expression the value is 60x² + 1 = 62x.

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Answer:

y=1/6x-3-2

Step-by-step explanation:

rises 2 runs 12

equals rise 1 run 6

1/6x

10, 6 -2 from x =10, 4