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3 years ago

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The sides of a triangle are in the ratio of 2:3:4. If the measure of the shortest side of the triangle is 12 centimeters, what i

s the length of the longest side?
16 cm
18 cm
24 cm
36 cm

2 answers:

Scorpion4ik [409]3 years ago

3 0

To answer this, we let x some factor that would agree or make the ratio given true. We calculate as follows:

<span>2:3:4
2x:3x:4x

2x = 12
x = 6

Therefore, the length of the longest side would be 4x = 4(6) = 24 cm, third option.</span>

stira [4]3 years ago

3 0

Answer:

Option 3rd is correct that is 24 cm.

Step-by-step explanation:

We have been given the shortest side of the triangle which is 12 centimeters.

We have been given the ratio of the three sides of the triangle

let the unknown side of the triangle be x

So, according to the ratio given we will have sides as:

2x : 3x :4x

since, shortest side is 12

So, 2x=12

x=6

Now, we have to find the longest side which is 4x

So, the required side is: 4 x 6 =24 centimeters

Therefore, option 3rd is correct.

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<span>2(a+b)=c
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answer
</span><span>D. b = (c−2a)/2 ; distribute 2 to get 2a+2b, subtract 2a, then divide by 2.</span>

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3 years ago

What is 0.00837 written in scientific notation?

Angelina_Jolie [31]

Answer:

8.37 x 10^-3

(Scientific Notation)

8.37 x 10^-3

(use the caret symbol [^] to type or write)

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(Scientific E-notation)

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(Real Number)

Step-by-step explanation:

How to convert numbers or decimals to scientific notation?

In scientific notation all numbers are written in the form of m×10n (m times ten raised to the power of n), where the exponent n is an integer, and the coefficient m is any real number, called the significand or mantissa. If the number is negative then a minus sign precedes m (as in ordinary decimal notation).

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3 years ago

Initially 100 milligrams of a radioactive substance was present. After 6 hours the mass had decreased by 3%. If the rate of deca

Hitman42 [59]

Answer:

The half-life of the radioactive substance is 135.9 hours.

Step-by-step explanation:

The rate of decay is proportional to the amount of the substance present at time t

This means that the amount of the substance can be modeled by the following differential equation:

$\frac{dQ}{dt} = -rt$

Which has the following solution:

$Q(t) = Q(0)e^{-rt}$

In which Q(t) is the amount after t hours, Q(0) is the initial amount and r is the decay rate.

After 6 hours the mass had decreased by 3%.

This means that $Q(6) = (1-0.03)Q(0) = 0.97Q(0)$ . We use this to find r.

$Q(t) = Q(0)e^{-rt}$

$0.97Q(0) = Q(0)e^{-6r}$

$e^{-6r} = 0.97$

$\ln{e^{-6r}} = \ln{0.97}$

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$r = -\frac{\ln{0.97}}{6}$

$r = 0.0051$

So

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$0.5Q(0) = Q(0)e^{-0.0051t}$

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$\ln{e^{-0.0051t}} = \ln{0.5}$

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$t = -\frac{\ln{0.5}}{0.0051}$

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3(2x+14)divided by w-y if w=8,x=5,y=1 how do i solve this

Viktor [21]

$\frac{3 (2x + 14)}{w - y}$
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You have to first substitute every variable into its spot in the equation.

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</span><span> $\frac{3 (2*5 + 14)}{8 - 1}$
</span>
Then solve.

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3 years ago