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3 years ago

Two sides of a triangle have lengths 10 and 18. Which inequalities describe the possible lengths for the third side x?

1 answer:

7 0

Let with X is denoted the length of the third side.
For a triangle the following statements must be true:
The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
This means that this inequality can be written: X<10+18 ,X<28

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In a right triangle, the hypotenuse is three inches more than twice the length of one leg. If the other leg is 12 inches, what i

andrew-mc [135]

Answer:

Length of hypothenuse = 13 inches

Length of other leg = 5 inches

Step-by-step explanation:

A triangle has three sides and three angles. A right angle triangle has 90 degrees as one of the angles. The remaining two angles are complimentary. This means that the sum if the other two angles is 90 degrees.

The longest side is the hypotenuse. The shorter sides are the opposite and adjacent.

In this triangle, the hypotenuse is three inches more than twice the length of one leg. Let the length of one leg be x inches.

Hypothenuse = 2x + 3

The other leg is 12 inches.

The diagram is illustrated in the attached photo.

Applying Pythagoras theorem,

Hypothenuse ^2 = adjacent^2 + opposite ^2

(2x+3)^2 = 12^2 + x^2

(2x+3)(2x+3)= 144 + x^2

4x^2 + 6x + 6x + 9 = 144 + x^2

4x^2 - x^2 + 6x + 6x + 9 - 144 = 0

3x^2 +12x - 135 = 0

3x^2 +27x - 15x - 135 = 0

3x(x+9)-15(x+9)=0

(3x -15)(x+9) = 0

3x -15 = 0 or x+9= 0

3x = 15 or x = -9

x = 15/3 = 5

x = 5inches because it cannot be negative.

Length of hypothenuse = 2x + 3

= 2×5 + 3 = 10 + 3 = 13 inches

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3 years ago

The slope of the line below is 3. Use the coordinates of the labeled point to

Vinvika [58]

Answer:

$y = 8+3x$

Step-by-step explanation:

Remember that the equation of the line is

$y-y_0 = m*(x-x_0)$

in this case we have

$y-8 = 3(x-0)$

that is because

$y_0 = 8, x_0 = 8 , m = 3$

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3 years ago

The amount of chlorophyll in a leaf changes based on outside temperature. What's the independent variable in the situation?

I am Lyosha [343]

Answer:

Step-by-step explanation:

Given that the amount of chlorophyll in a leaf changes based on outside temperature. Here there are two variables.

i) Amount of chlorophyll in a leaf

ii) outside temperature

Here outside temperature is an independent variable as amount of chlorophyll in a leaf cannot control it.

But on the other hand, Amount of chlorophyll in a leaf depends on the outside temperature and hence cannot be independent but dependent variable

Recall the definition of dependent and independent variable

An independent variable is the variable that is controlled in a scientific experiment to test the effects on the dependent variable.

A dependent variable is the variable being tested and measured in a scientific experiment.

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3 years ago

Can someone pls tell me if this is right? if its not then what is the right answer?

noname [10]

Answer:

It's right :)

Explanation:

Dilation along the x-axis = (-7-1)/(-1-1) = 2/8 = 1/4
Dilation along the y-axis = (-7-1)/(-1-1) = 2/8 = 1/4

Thus, the overall dilation is 1/4

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2 years ago

Read 2 more answers

Represent the set of numbers as decimals on the number line {5 3/10, 5 1/10, 5 and if you answer more than needed thank you

Alina [70]

Answer:

(0.53 > 0.51) both less than 1 while 5 is greater than both

Step-by-step explanation:

$\frac{53}{10} = .53, \frac{51}{10} = .51.$ and 5

the number line has two sides, with the left side for negative numbers while the right side is for positive numbers.

-5 -4 -3 -2 -1 -.53 -.51 0 .51 .53 1 2 3 4 5

By studying the number line above all decimal numbers greater than 0 but less than 1 are from 0, .1, .2,.........,.98, .99, 1.00 which is also the same as 1 because all numbers greater than 1 has an invisible point at its right side like 2., 3. which also means 2, 3 while negative number are all less than 0

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3 years ago