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4 years ago

11

Two angles and one side in a triangle are equivalent to those in another triangle. Are the remaining sides and angles equivalent

?

2 answers:

Andrews [41]4 years ago

4 0

It depends if the one side is in between the angles or not.

bezimeni [28]4 years ago

3 0

Yes, they would be equivalent because the only difference between them would be that they are reduced by a number.

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What are the advantages and disadvantages to representing a function as an equation instead of a graph

Serjik [45]

Answer:

Advantages of representing a function as an equation instead of graph :

No chance of misinterpretation of the data as making graph involves more data as compared to data needed to represent function as an equation.
Drawing graphs may be inconvenient in case you need to plot fraction and decimal functions.

Disadvantages of representing a function as an equation instead of graph :

Visualization is easy in case of graph. Many factors such as maximum, minimum can be easily seen with the help of graph as compared to that of equation of the function.
With the help of curve of the graph, we can identify the nature of the function much easily than by the equation of the function.

3 0

3 years ago

The length of a rectangle is 8 cm longer than its width. find the dimensions of the rectangle if its area is 108cm

hram777 [196]

Answer:

$4+2\sqrt{31}\text{ by } -4+2\sqrt{31}$

Or about 15.136 centimeters by 7.136 centimeters.

Step-by-step explanation:

Recall that the area of a rectangle is given by:

$\displaystyle A = w\ell$

Where <em>w</em> is the width and <em>l</em> is the length.

We are given that the length is 8 centimeters longer than the width. In other words:

$\ell = w+8$

And we are also given that the total area is 108 square centimeters.

Thus, substitute:

$(108)=w(w+8)$

Solve for <em>w</em>. Distribute:

$w^2+8w=108$

Subtract 108 from both sides:

$w^2+8w-108=0$

Since the equation is not factorable, we can use the quadratic formula:

$\displaystyle x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}$

In this case, <em>a</em> = 1, <em>b</em> = 8, and <em>c</em> = -108. Substitute and evaluate:

$\displaystyle \begin{aligned} w&= \frac{-(8)\pm\sqrt{(8)^2-4(1)(-108)}}{2(1)} \\ \\ &=\frac{-8\pm\sqrt{496}}{2}\\ \\ &=\frac{-8\pm4\sqrt{31}}{2} \\ \\ &=-4 \pm 2\sqrt{31} \end{aligned}$

So, our two solutions are:

$w=-4+2\sqrt{31} \approx 7.136 \text{ or } w=-4-2\sqrt{31}\approx -15.136$

Since width cannot be negative, we can eliminate the second solution.

And since the length is eight centimeters longer than the width, the length is:

$\ell =(-4+2\sqrt{31})+8=4+2\sqrt{31}\approx 15.136$

So, the dimensions of the rectangle are about 15.136 cm by 7.136 cm.

5 0

3 years ago

How can you tell which rectangle is bigger: a rectangle with a perimeter of 24 units or a rectangle with an area of 24 square un

Salsk061 [2.6K]

Answer:

Perimeter

Step-by-step explanation:

Perimeter is the outside of the rectangle area is inside

8 0

4 years ago

Bumek [7]

Answer:

The value of the function f(x) at x=a can be determined by substituting a instead of x into the function expression.

1. When x=-1, then

f(-1) = 2 * (-1)^3 - 3 * (-1)^2 + 7 = -2 - 3 + 7 = 2.

2. When x=1, then

f(1) = 2 * 1^3 - 3 * 1^2 + 7 = 2 - 3 + 7 = 6.

3. When x=2, then

f(-1) = 2 * 2^3 - 3 * 2^2 + 7 = 16 - 12 + 7 = 11.

Step-by-step explanation:

3 0

4 years ago

Can someone please help me with this ?

Lemur [1.5K]

I believe the area is 704

the area of the square is 484
the area of the triangle is 220
484+220=704

4 0

3 years ago