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devlian [24]
3 years ago
14

In a right angle triangle , the two shorter sides are 6cm and 8cm in length . What is the length of the longest side

Mathematics
1 answer:
Lelechka [254]3 years ago
8 0

Answer:

10 cm

Step-by-step explanation:

In a right triangle, there are three sides, A, B, and C.

A and B are the short sides, while C is the long side.

So we know that A = 6 cm, and B = 8 cm.

We can then use the Pythagorean theorem which states that

C=\sqrt{(A^2)+(B^2)

Once we plug in the numbers we get

C=\sqrt{6^2+8^2}

C=\sqrt{36+64}

C=\sqrt{100}

C=10 cm

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Find the length of GI in the triangle below. Show your work.
love history [14]

Answer:

<u>The length of GI is 90.06 units</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

GH = 60 units

HI = 42 units

∠H = 123°

2. Using the Law of Cosines, we can find the length of GI, this way:

GI² = GH² + HI² - 2 * GH * HI * cos ∠H

Replacing with the real values:

GI² = 60² + 42² - 2 * 60 * 42 * cos ∠123°

GI² = 3,600 + 1,764 - 2 * 60 * 42 * -0.545

GI² = 3,600 + 1,764 - 2 * 60 * 42 * -0.545

GI² = 3,600 + 1,764 + 2,746.8

GI² = 8,110.8

<u>GI = √ 8,110.8 = 90.06 units</u>

4 0
3 years ago
Read 2 more answers
A large brine tank containing a solution of salt and water is being diluted with fresh water.
kirza4 [7]

Answer:

41.04 g/L

Step-by-step explanation:

The relationship is modeled by the following function:

S(t) = 500*e^(-0.25*t)

where t is time elapsed after the dilution begins (in hours) and S(t) the concentration of  salt in the tank (in g/L)

Replacing with t = 10

S(t) = 500*e^(-0.25*10)

S(t) = 41.04 g/L

6 0
3 years ago
Which pair of monomials has the least common multiple (LCM) of 54x2y3?
Lera25 [3.4K]

ANSWER

The correct answer is D.

EXPLANATION

If we express the monomial,

18 {x}^{2} y

as product of primes, we obtain:

2 \times  {3}^{2}  \times  {x}^{2}y

If we express the monomial

27x {y}^{3}

as product of primes we obtain:

=  {3}^{3}  \times x {y}^{3}

The least common multiple of these two binomials is the product of the highest powers of the common factors.

The LCM is

= 2 \times  {3}^{3}  \times  {x}^{2} {y}^{3}

=54 {x}^{2} {y}^{3}

Therefore the correct answer is D.

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3 years ago
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iVinArrow [24]

Answer:

1) 15

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4) -4

5) -8

6) 12

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Step-by-step explanation:

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Answer:

The slope is 4

Step-by-step explanation:

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