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FinnZ [79.3K]
3 years ago
10

A triangle has side lengths of (8d – 3) centimeters, (6d + 2) centimeters, and

Mathematics
1 answer:
alisha [4.7K]3 years ago
3 0

The perimeter of a triangle is the sum of its side lengths.

The perimeter of the triangle is: 14d + 7f +7

<u>The sides of the triangle are:</u>

Side 1 = (8d - 3) cm

Side 2 = (6d + 2) cm

Side 3 = (7f + 8) cm

The perimeter (P) is calculated as:

P = Side 1 + Side 2 + Side 3

So, we have:

P = (8d - 3) + (6d + 2) + (7f + 8)

Remove brackets

P = 8d - 3 + 6d + 2 + 7f + 8

Collect like terms

P = 8d  + 6d + 7f - 3 + 2 + 8

P = 14d + 7f +7

Hence, the perimeter of the triangle is: 14d + 7f +7

Read more about perimeters at:

brainly.com/question/6465134

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Food bill before tax $62 Sales tax: 8% Tip: 15%<br> What is the tax?
professor190 [17]
<h3>Answer:  $4.96</h3>

Work Shown:

8% = 8/100 = 0.08

8% of 62 = 0.08*62 = 4.96

8 0
2 years ago
If a 30-foot silo casts a 20-foot shadow, what is the approximate measure from the tip of the shadow to the top of the silo?
KATRIN_1 [288]

9514 1404 393

Answer:

  (d)  36 feet

Step-by-step explanation:

Use your sense of geometry.

The hypotenuse of a right triangle will never be less than the longest side, and will never be greater than 1.5 times the longest side*.

That means the only reasonable answer choices will be between 30 and 45 feet. There is only one such choice.

The measure is about 36 feet.

__

If you like, you can find a more exact value using the Pythagorean theorem. The distance d of interest is ...

  d^2 = 20^2 +30^2 = 1300

  d = √1300 = 10√13 ≈ 36.0555 ≈ 36 . . . feet

_____

* The longest hypotenuse will be √2 ≈ 1.4142 times the longest right triangle leg when the two legs are equal length.

3 0
3 years ago
A veterinarian does research on the causes of enteroliths, stones that develop in the colon of horses. She suspects that feeding
dsp73

Answer:

On average, horses with and without enteroliths are fed the same amount of alfalfa per month

Step-by-step explanation:

Hello!

The veterinarian wants to research if eating alfalfa causes horses to have enteroliths.

The study variables are:

X₁: number of alfalfa flakes eaten over a month by a horse with enteroliths.

X₂: number of alfalfa flakes eaten over a month by a horse free of enteroliths.

She calculated a CI interval, with level 1 - α and the interval contained the cero.

With a significance level α, the hypotheses are:

H₀: μ₁ - μ₂ = 0

H₁: μ₁ - μ₂ ≠ 0

To decide whether you should reject or not the null hypothesis using a Confidence Interval is the following:

If the CI contains the number stated in the null hypothesis, the decision is to not reject the null hypothesis.

If the CI doesn't contain the number stated in the null hypothesis, then the decision is to reject the null hypothesis.

Since the interval contains the cero, if 1 - α and α are complementary, the decision is to reject the null hypothesis.

This means that at a level of significance of α, you can conclude that there is no difference between the population means of the numbers of alfalfa flakes eaten by horses with or without enteroliths.

I hope it helps!

7 0
3 years ago
a drum full of rice weighs 241/6 kg. If the empty drum weighs 55/4 kg, find the weight of rice in the drum
laiz [17]

Answer:

I believe the answer would be 186

Step-by-step explanation:

241-55=186

5 0
2 years ago
Use the divisibility rules to determine which of the following numbers 504 is divisible by.
Reika [66]

Answer:

504 is divisible by 2, 3, and 7. It is not divisble by 5 or 11

Step-by-step explanation:

C'mon. Use a calcultor.

3 0
3 years ago
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