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4 years ago

A triangle has side lengths of 8 cm, 9 cm, and 14 cm. classify it as acute, obtuse, or right.

Mathematics

2 answers:

Anarel [89]4 years ago

5 0

The correct answer is:

It is an obtuse triangle.

Explanation:

We use the Pythagorean Theorem to determine what type of triangle we have, based on the side lengths.

If a² + b² = c², the triangle is a right triangle.

If a² + b² < c², the triangle is an obtuse triangle.

If a² + b² > c², the triangle is an acute triangle.

Using 8 for a, 9 for b and 14 for c, we have:

8² + 9² and 14²

8² + 9² = 64+81 = 145

14² = 196

145 < 196; therefore a² + b² < c², and the triangle is obtuse.

tiny-mole [99]4 years ago

4 0

The triangle is an acute triangle.

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Norma-Jean [14]

Answer:

180 degrees

Step-by-step explanation:

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2 years ago

Scientist can determine the age of ancient objects by a method called radiocarbon dating. The bombardment of the upper atmospher

Artemon [7]

Answer: 2500 years

Step-by-step explanation:

I'm not quite sure if I'm doing this right myself but I'll give it a shot.

We use this formula to find half-life but we can just plug in the numbers we know to find t.

$A(t)=A_{0}(1/2)^t^/^h$

We know half-life is 5730 years and that the parchment has retained 74% of its Carbon-14. For $A_{0$ let's just assume that there are 100 original atoms of Carbon-14 and for A(t) let's assume there are 74 Carbon-14 atoms AFTER the amount of time has passed. That way, 74% of the C-14 still remains as 74/100 is 74%. Not quite sure how to explain it but I hope you get it. h is the last variable we need to know and it's just the half-life, which has been given to us already, 5730 years, so now we have this.

$74=100(1/2)^t^/^5^7^3^0$

Now, solve. First, divide by 100.

$0.74=(0.5)^t^/^5^7^3^0$

Take the log of everything

$log(0.74)=\frac{t}{5730} log(0.5)$

Divide the entire equation by log (0.5) and multiply the entire equation by 5730 to isolate the t and get

$5730\frac{log(0.74)}{log(0.5)} =t$

Use your calculator to solve that giant mess for t and you'll get that t is roughly 2489.128182 years. Round that to the nearest hundred years, and you'll find the hopefully correct answer is 2500 years.

Really hope that all the equations that I wrote came out good and that that's right, this is definitely the longest answer I've ever written.

5 0

3 years ago

The width of a rectangle is 5 centimeters less than the length . The area of the rectangle is 36 centimeters.find the length?

Iteru [2.4K]

Answer:

9 centimeters

Step-by-step explanation:

Let the width be represented by l - 5, where l is the length.

Use the area formula, A = lw, and plug in l - 5 as w, and 36 as the area. Then, simplify and factor

A = lw

36 = l(l - 5)

36 = l² - 5l

0 = l² - 5l - 36

Factor:

(l - 9)(l + 4)

Set equal to zero and solve for both solutions:

(l - 9)(l + 4) = 0

l - 9 = 0

l = 9

l + 4 = 0

l = -4

The length cannot be negative, so the answer has to be 9.

The length is 9 centimeters

7 0

3 years ago

Read 2 more answers

Part A: Eveline rented a car at $180 for 4 days. If she rents the same car for 9 days, she has to pay a total rent of $325. Writ

QveST [7]

Answer:

Step-by-step explanation:

Part A

We will use the slope intercept form of the line and then convert later.

Equation

y = mx + b is the general form

Givens

Two data points

(4,180)

(9,325)

Solution

325 = 9x + b

180 = 4x + b Subtract

145 = 5x Divide by 5

145/5 = 5x/5 Do the division

29 = x This represents the cost / day

180 = 4x + b Substitute x = 29 to find b

180 = 4*29 + b Combine

180 = 116 + b Subtract 116 from both sides.

180 - 116 = b

64 = b

Solution for y = mx + b

y = 29x + 64

In Standard form this is

- 29x + y = 64 But the first number must be plus

29x - y = - 64 <<<< Answer A

Part B

y = 29x + 64

f(x) = 29x + 64

Part C

The graph is shown below. Various points are filled in using y = 29x + 64. The y intercept is (0,64) which is labeled. Let x = 1 , 2, 3, 4, ... 10 (which is arbitrary). This may be more easily done on a spreadsheet if you know how to use one to make graphs.

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3 years ago

nora is planning a birthday party for her little sister, colleen. she needs to purchase 12 cupcakes she can not spend more than

Lapatulllka [165]

Answer:

if she cannot spend more than $40, she will spend .3 on each cupcake

Step-by-step explanation:

when you divide 12 by 40, you get .3 and to check if it is true, you can multiply .3 x 40 and you will get 12 hope you get it right, and have a good day :)

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3 years ago