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3 years ago

Which of the following side lengths can form a triangle?

Mathematics

2 answers:

Dmitry [639]3 years ago

5 0

Answer:

side lengths can form a triangle

21 cm, 41 cm, and 60 cm..

Pachacha [2.7K]3 years ago

3 0

I'll be solving this by using the Triangle Inequality Theorem: a+b>c, a+c>b, and b+c>a

A. 54 mm, 65 mm, and 120 mm: 54=a, 65=b, 120=c and 54 + 65 > 120 so it's false.

B. 12 in, 43 in, and 56 in: 12=a, 43=b, 56=c, 12 + 43 > 56 so false

C. 16 ft, 24 ft, and 42 ft: 24=a, 16=b, 42=c, but 16 + 24 > 60 so it's false

D. 21 cm, 41 cm, and 60 cm: 21=a, 41=b, 60=c

21 + 41 > 60

21 + 60 > 41

41 + 60 > 21

It equals all three formulas so D is the right answer.

Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY! As well as a great Valentines Day! :-)

- Cutiepatutie ☺❀❤

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2. Kim is x years old. Jordan is 7 years older than Kim. Four times Jordan’s age is equal to 200. (a) Write an equation that cou

Tomtit [17]

Let, the age of Kim = x
Then, Jordan's age = x + 7

It is given that, 4(x + 7) = 200

a) Equation would be: 4x + 28 = 200

b) Now, 4x = 200 - 28
x = 172/4
x = 43

So, Kim is 43 Years old.

c) Age of Jordan = x + 7
= 43 + 7 = 50

In short, Age of Jordan is 50 Years

Hope this helps!

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Equivalent expression

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3 years ago

Given the position of the particle, what the position(s) of the particle when it’s at rest

choli [55]

The position function of a particle is given by:

$X\mleft(t\mright)=\frac{2}{3}t^3-\frac{9}{2}t^2-18t$

The velocity function is the derivative of the position:

$\begin{gathered} V(t)=\frac{2}{3}(3t^2)-\frac{9}{2}(2t)-18 \\ \text{Simplifying:} \\ V(t)=2t^2-9t-18 \end{gathered}$

The particle will be at rest when the velocity is 0, thus we solve the equation:

$2t^2-9t-18=0$

The coefficients of this equation are: a = 2, b = -9, c = -18

Solve by using the formula:

$t=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}$

Substituting:

$\begin{gathered} t=\frac{9\pm\sqrt[]{81-4(2)(-18)}}{2(2)} \\ t=\frac{9\pm\sqrt[]{81+144}}{4} \\ t=\frac{9\pm\sqrt[]{225}}{4} \\ t=\frac{9\pm15}{4} \end{gathered}$

We have two possible answers:

$\begin{gathered} t=\frac{9+15}{4}=6 \\ t=\frac{9-15}{4}=-\frac{3}{2} \end{gathered}$

We only accept the positive answer because the time cannot be negative.

Now calculate the position for t = 6:

$undefined$

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1 year ago

What is the solution to the system shown?

Mice21 [21]

Answer:d

Step-by-step explanation:

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3 years ago