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Vladimir [108]
3 years ago
10

A triangle has two sides of lengths 6 and 9. What value coul the length of the third side be?

Mathematics
2 answers:
topjm [15]3 years ago
8 0

Answer:

(a) -2,0 and 2,5 and (b) 2,-1 and 10,9

The question is incomplete without the answer choice. Let's consider the following:

A line has a slope of -4/5. Which ordered pairs could be points on a line that is perpendicular to this line? select two options

a) -2,0 and 2,5

b) -4,5 and 4,-5

c) -3,4 and 2,0

d) 1,-1 and 6,-5

e) 2,-1 and 10,9

Sveta_85 [38]3 years ago
5 0

Answer:

The length of any side of a triangle cannot exceed the sum of the lengths of the other two sides. (I am allowing three collinear points to be considered vertices of a degenerate triangle.) Therefore, if two sides have length 6 cm and 9 cm, the third side has length between 9–6 = 3 cm and 9+6 = 15 cm. On the other hand, if we take a line segment whose length is any real number between 3 and 15 cm and construct a circle of radius 6 cm with center at one end and another circle of radius 15 cm with center at the other end, the two circles will intersect and a point of intersection will be the third vertex of a triangle with base the given line segment and whose two other sides are of length 6 cm and 9 cm. So the third side can be of any length between 3 and 15 cm.

Step-by-step explanation:

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How many three-digit even numbers are possible if the leftmost digit cannot be zero?
Sonbull [250]

Answer:

  450

Step-by-step explanation:

There are 900 3-digit numbers in the range 100–999. Of those, exactly half are even numbers.

There are 450 even three-digit numbers.

5 0
2 years ago
Find the area enclosed by the graphs of y=√(4-4x), y=√(4-x) and x-axis by integrating with respect to x and integrating with res
Sloan [31]

Answer:

(A) 2/3 [√(4-4x)]^3

(B) 2/3 [√(4-x)]^3

Step-by-step explanation:

Integrating the functions,

(A) Any function in square root is equal to or same as the function raised to the power of 1/2

To integrate, add 1 to the power of the function. That's 1/2 + 1 = 3/2

Divide the function by this new power 3/2. This implies multiplying the function by the inverse of 3/2. The inverse of 3/2 is 2/3.

Also, when a function is raised to the power of a fraction instead of a whole number, you take the 'denominator' root of the function, and then raise the function to the power of the numerator.

Here, the denominator is 2, so you take the square root of the function, and raise the function to the power of 3

So the integral of Y = √[4-4x] is

2/3 [√(4-4x)]^3

(B) In like manner, the integral of

Y = √[4-x] is

2/3 [(√4-x)]^3

6 0
3 years ago
A product is made up of components A, B, C, D, E, F, G, H, I, and J. Components A, B, C, and F have a 1/10,000 chance of failure
lesantik [10]

Answer:

The overall reliability is 99.7402 %

Step-by-step explanation:

The overall reliability of the product is calculated as the product of the working probability of the components.

For components A,B,C and F we have :

P(failure)=\frac{1}{10000}

⇒

P(Work)=1-\frac{1}{10000}=\frac{9999}{10000}=0.9999

For components D,E,G and H we have :

P(failure)=\frac{3}{10000}

⇒

P(Work)=1-\frac{3}{10000}=\frac{9997}{10000}=0.9997

Finally, for components I and J :

P(failure)=\frac{5}{10000}

⇒

P(Work)=1-\frac{5}{10000}=\frac{9995}{10000}=0.9995

Now we multiply all the working probabilities. We mustn't forget that we have got ten components in this case :

Components A,B,C and F with a working probability of 0.9999

Components D,E,G and H with a working probability of 0.9997

Components I and J with a working probability of 0.9995

Overall reliability = (0.9999)^{4}(0.9997)^{4}(0.9995)^{2}=0.997402

0.997402 = 99.7402 %

4 0
3 years ago
So i have to do integer math and Im not really good at it
Advocard [28]

Answer:

-25, 22, -65, 0

Step-by-step explanation:

7 0
3 years ago
Consider the polar curve r = 4sin(2θ). What is the length of each petal, and how many petals does the graph have? a The length o
VashaNatasha [74]

Answer:

d The length of each petal is 4, and the number of petals is 4.

Step-by-step explanation:

3 0
2 years ago
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