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1 year ago

A triangle has side lengths of (5h – 4k) centimeters, (10h + 7m) centimeters, and

1 answer:

8 0

A mathematical expression which best represents the perimeter of this triangle is (15h - 6k + 12m) centimeters.

<u>Given the following data:</u>

Length A = (5h – 4k) centimeters

Length B = (10h + 7m) centimeters

Length C = (5m – 2k) centimeters.

<h3>What is a triangle?</h3>

A triangle can be defined as a two-dimensional shape that comprises three (3) sides, three (3) vertices and three (3) angles.

<h3>How to calculate the perimeter of a triangle.</h3>

Mathematically, the perimeter of a triangle is given by this formula:

$P=A+B+C$

<u>Where:</u>

A, B, and C are length of sides.

Substituting the given parameters into the formula, we have;

$P=(5h - 4k) +(10h + 7m) +(5m - 2k)\\\\P=5h+10h-4k-2k+7m+5m\\\\P=(15h-6k+12m)\;centimeters$

Read more on perimeter of a triangle here: brainly.com/question/24382052

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A recent study focused on the number of times men and women send a Twitter message in a day. The information is summarized below

jok3333 [9.3K]

Answer:

The value of the test statistic = 2.58

Test statistic Z = - 4.805

|Z| = 4.805 > 2.58

Null hypothesis is rejected The value of the test statistic = 2.58

There is significant difference between in the mean number of times men and women send a Twitter message in a day

Step-by-step explanation:

Step(i):-

Sample size of men n₁ = 25

mean of the first sample x₁⁻ = 20

Standard deviation of the first sample σ₁ = 5

Sample size of women n₂ = 30

mean of the second sample x₂⁻ = 30

Standard deviation of the first sample σ₂ = 10

Level of significance ∝= 0.01

<u>Step(ii)</u>:-

Null Hypothesis : H₀: There is no significant difference between in the mean number of times men and women send a Twitter message in a day

Alternative Hypothesis :H₁:There is significant difference between in the mean number of times men and women send a Twitter message in a day

Test statistic

$Z = \frac{x^{-} _{1} - x^{-} _{2} }{\sqrt{\frac{S.D_{1} ^{2} }{n_{1} }+\frac{ S.D_{2} ^{2}}{n_{2} } } }$

$Z = \frac{20 - 30 }{\sqrt{\frac{(5)^{2} }{25 }+\frac{ (10)^{2} }{ 30} } }$

Z = $\frac{-10}{2.081} = - 4.805$

The value of the test statistic = 2.58 C

|Z| = 4.805 > 2.58

Null hypothesis is rejected The value of the test statistic = 2.58

<u>Conclusion:</u>-

There is significant difference between in the mean number of times men and women send a Twitter message in a day

7 0

2 years ago

Masón has planted 6 rows in the vegetable garden. He continues to work, planting 1 row every 2 hours. Write an equation to repre

Sophie [7]

Y=.5x+6

I believe this is right sorry if it’s not.

5 0

3 years ago

The sides of a triangle are in the ratio 12:17: 25 and its perimeter is 540cm. The area is:

Feliz [49]

1000

Step-by-step explanation:

Find the height of the triangle using the Pythagoras theorem

Then, use it to calculate the area of the triangle

5 0

3 years ago

Lines k and l are parallel. Lines m and n intersect lines k and l to form 2 triangles. The top triangle has angles 1, 2, 3. The

GaryK [48]

Answer:

It is C, line KL has a slope of 0 and line MN is undefined and they're perpendicular

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Your family is traveling 345 miles to an amusement park. You have already traveled 131 miles. How many more miles must you trave

Svetllana [295]

Answer:

214 miles

Step-by-step explanation:

To find the difference between miles already traveled and total miles you need to travel, you subtract ...

345 miles - 131 miles = 214 miles

You must travel 214 more miles to complete your 345 mile journey.

7 0

3 years ago