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3 years ago

Will side lengths of 3 cm, 4 cm, and 5 cm form a triangle? explain.

Mathematics

2 answers:

Gelneren [198K]3 years ago

6 0

Yes, that is the famous first Pythagorean triplet: 3²+4²=5²

For three lengths to be able to form a triangle, it suffices that every one of those lengths is shorter than the sum and longer than the difference of the other two.

It is enough to check just one side.

So,

3 + 4 > 5

4 - 3 < 5

Your triangle is constructible.

just olya [345]3 years ago

4 0

Answer: yes because 3cm, 4cm, and 5cm form a triangle

Step-by-step explanation:

Comment the right answer if i'm wrong or not

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The box plots show the weights, in pounds, of the dogs in two different animal shelters. Weights of Dogs in Shelter A 2 box plot

Romashka [77]

Answer:

Shelter A

Step-by-step explanation:

For Shelter A: the whiskers range from 8 to 30

so, the minimum weight of Shelter A is 8 pounds.

For For Shelter B: the whiskers range from 10 to 28

so, the minimum weight of Shelter B is 10 pounds.

Which animal shelter has the dog that weighs the least?

The answer is: Shelter A

Note: whiskers are plotted are from the minimum to Q1 and from Q2 to the max.

See the attached figure.

4 0

3 years ago

Read 2 more answers

A motorboat can maintain a constant speed of 15 miles per hour relative to the water. The boat makes trip upstream to a certain

Ira Lisetskai [31]

Answer:

The speed of the current is 2 miles per hours

Step-by-step explanation:

Given as :

The speed of motorboat = x = 15 miles per hour

The time taken by motorboat trip upstream = 51 minutes

The time taken by motorboat trip downstream = 39 minutes

Let The speed of the current = y miles per hour

Let The total distance cover = A miles

So ,

Speed = $\dfrac{\textrm Distance}{\textrm Time}$

So, x - y = $\dfrac{A}{51}$

I.e 15 - y = $\dfrac{A}{51}$

And x + y = $\dfrac{A}{39}$

I.e 15 + y = $\dfrac{A}{39}$

$\dfrac{x-y}{x+y}$ = $\dfrac{39}{51}$

I.e $\dfrac{x-y}{x+y}$ = $\dfrac{13}{17}$

Or, 17 × (x - y) = 13 × (x + y)

Or, 17 x - 17 y = 13 x + 13 y

Or, 17 x - 13 x = 13 y + 17 y

Or, 4 x = 30 y

Now, ∵ x = 15 miles per hour

So, 4 × 15 = 30 y

Or, y = $\dfrac{60}{30}$

∴ y = 2 miles per hour

Hence The speed of the current is 2 miles per hours Answer

8 0

3 years ago

The price of a technology stock was $9.70 yesterday. Today, the price fell to $9.59 Find the percentage decrease. Round your ans

kogti [31]

Answer:

round it to 20×10 there's you answer

5 0

2 years ago

Someone Helpppp me please!!

romanna [79]

I think the answer is C or B . I’m pretty sure it’s C though .

6 0

3 years ago

When instructed to find the length of HJ in right

kobusy [5.1K]

See attachement for the diagram of the triangle

Answer/Step-by-step explanation:

To find the length of HJ, we can use different equations as follows:

✔️Recall: SOHCAHTOA

Let's take <G as the reference angle = 28°

Opposite side to reference angle = HJ

Hypotenuse = 20

Apply SOH.

Thus:

Sin 28° = opp/hyp

Sin 28° = HJ/20 (Alex's equation is correct).

Solving further, we would have:

HJ = Sin 28 * 20 ≈ 9.4

✔️Another way is by using <H as the reference angle.

m<H = 180° - (90° + 28°) (sum of triangle)

m<H = 62°

Adjacent side to reference angle (<H) = HJ

Hypotenuse = 20

Apply CAH:

Cos 62° = Adj/Hyp

Cos 62° = HJ/20 (Marlene's equation is correct)

Solving further, we would have,

HJ = Cos 62° * 20 ≈ 9.4

As you can see, the equation of both students are correct. Both would arrive at the same answer using any of the two equations.

8 0

3 years ago