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3 years ago

What is the range of possible lengths for the third side of a triangle that has side lengths of 7 and 10? WRITER ន I O

Mathematics

1 answer:

stira [4]3 years ago

3 0

Answer:

3 < x < 17

Step-by-step explanation:

triangle inequality theorem: the sum of any two sides must be greater than the third

7 + 10 > x; x < 17

7 + x > 10; x > 3

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Use a graphing calculator to approximate the vertex of the graph of the parabola defined by the following equation.

vitfil [10]

Given:

The equation of a parabola is:

$y=-2x^2+7x+4$

To find:

The vertex of the graph of the given equation by using a graphing calculator.

Solution:

We have,

$y=-2x^2+7x+4$

By using the graphing calculator, draw the graph of the given equation as shown below.

From the below graph it is clear that the function is maximum at point (1.75,10.125).

So, the vertex of the given equation is (1.75,10.125).

Therefore, the correct option is c.

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3 years ago

Solve for h. <br> <br> a = ch + f

tankabanditka [31]

It would be a - f / c = h

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4 years ago

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This figure is made up of a quadrilateral and a semicircle.

Arturiano [62]

Answer:

The correct option is B. The area of the figure is 40.4 units².

Step-by-step explanation:

The line AB divides the figure in two parts one is a rectangle and another is semicircle.

The distance formula is

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

The length of AB is

$AB=\sqrt{(2+3)^2+(4-2)^2}=\sqrt{25+4}=\sqrt{29}$

The length of AD is

$AD=\sqrt{(-1+3)^2+(-3-2)^2}=\sqrt{4+25}=\sqrt{29}$

Since AB=AD, therefore ABCD is a square. The area of the of square is

$A_1=a\times a=\sqrt{29}\times \sqrt{29} =29$

The area of square is 29 units².

The area of a semicircle is

$A_2=\frac{\pi}{2}r^2$

Since AB is the diameter of the semicircle, therefore the radius of the semicircle is

$r=\frac{d}{2}=\frac{\sqrt{29}}{2}$

The area of the semicircle is

$A_2=\frac{3.14}{2}(\frac{\sqrt{29}}{2})^2=40.3825$

The area of the figure is

$A=A_1+A_2=29+11.2825=40.3825\approx 40.4$

Therefore the area of the figure is 40.4 units². Option B is correct.

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4 years ago

Anyone got discord im very very lonely right now ;-;

lara [203]

Answer:

Yes

Step-by-step explanation:

What is Your Discord

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3 years ago

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Julie's city had a parade last weekend. Of the residents in Julie's city, 90,000 came to the parade and 10,000 did not. What per

Virty [35]

90% of people did come

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4 years ago