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horsena [70]
3 years ago
11

Is it possible to construct a triangle with side lengths of 6 cm, 11 cm, and 13 cm? Why or why not?

Mathematics
1 answer:
andriy [413]3 years ago
6 0

Answer:

B. Yes, because 6 + 11 ≠ 13.

Step-by-step explanation: So for this one, you have to add two numbers and if the third number is bigger it is a possible construct but if it less than the third number than it is not a possible construct. So 6+ 11 = 17 (its good so far) 11 + 13 = 24(its good so far) 13 + 6 = 19( its good so far) everything checks out that means B is right. And also it is not D because that is saying 6 + 11 is less than 13 which is wrong. Hope this helps someone :)

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The expression cosine of pi over 2 times cosine of pi over 3 plus sine of pi over 2 times sine of pi over 3 can be rewritten as
9966 [12]

Solution:

Given;

\cos\frac{\pi}{2}\cos\frac{\pi}{3}+\sin\frac{\pi}{2}\sin\frac{\pi}{3}

Using the identities;

Thus;

\begin{gathered} \cos\frac{\pi}{2}\cos\frac{\pi}{3}+\sin\frac{\pi}{2}\sin\frac{\pi}{3}=\cos(\frac{\pi}{2}-\frac{\pi}{3}) \\  \\ \cos\frac{\pi}{2}\cos\frac{\pi}{3}+\sin\frac{\pi}{2}\sin\frac{\pi}{3}=\cos(\frac{\pi}{6}) \end{gathered}

CORRECT OPTION: A

6 0
1 year ago
The best or first answer will be marked brainliest
Marysya12 [62]

Answer:

Need more infomation to write the equation.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Can somebody help me solve this ?
77julia77 [94]

Step-by-step explanation:

volume of sphere = 288

based on formula, V = 4/3πr³

288 = 4/3(3.14)r³

288 = 4.187(r³)

r³ = 288/4.187

r =

\sqrt[3]{68.78}

r = 4.09

= 4.1

5 0
3 years ago
At Whole foods they mix two kinds of nuts: peanuts which cost $2.50 per kilogram and walnuts which cost $4.50 per kilogram how m
Allushta [10]

Answer: 37 kilograms of walnuts should be mixed.

Step-by-step explanation:

Let x represent the number of kilograms of peanuts needed to make the mixture.

Let y represent the number of kilograms of walnut needed to make the mixture.

The mixture to be made is 100 kg. It means that

x + y = 100

The worth of the mixture is $3.24 per kilogram. It means that the total worth of the mixture is

3.24 × 100 = $324

peanuts cost $2.50 per kilogram and walnuts cost $4.50 per kilogram. It means that

2.5x + 4.5y = 324- - - - - - - - - -1

Substituting x = 100 - y into equation 1, it becomes

2.5(100 - y) + 4.5y = 324

250 - 2.5y + 4.5y = 324

- 2.5y + 4.5y = 324 - 250

2y = 74

y = 74/2 = 37

x = 100 - y = 100 - 37

x = 63

3 0
3 years ago
For for each quadratic function below use method of completing the Square or averaging the x-intercept to write the equation in
lions [1.4K]

We have the expressions:

f(x)=x^2+6x+15y=x^2-4x+9f(x)=x^2-8xy=x^2+7x-2

Now, with this we operate as follows:

a)

f(x)=x^2+6x+15=x^2+6x+9+15-9\Rightarrow(x+3)^2+6

Then, the axis is x = -3 and the vertex (-3, 6)

b)

y=x^2-4x+9=x^2-4x+4+9-4\Rightarrow(x-2)^2+5

Then, the vertex is (2, 5) and the axis is x = 2.

c)

f(x)=x^2-8x+4-4\Rightarrow(x-2)^2-4

Then, the vertex is (2, -4) andd the axis is x = 2.

d)

y=x^2+7x-2=x^2+7x+\frac{49}{4}-2-\frac{49}{4}\Rightarrow(x+\frac{7}{2})^2-\frac{57}{4}

Then, the vertex is (-7/2, -57/4) and the axis is -7/2.

7 0
1 year ago
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