All categories

3 years ago

Question 8 of 10

Mathematics

1 answer:

balandron [24]3 years ago

4 0

Answer:

Step-by-step explanation:

You can use the Law of Cosines if you know all three sides of the triangle.

Note, however, that you can also use the Law of Cosines if you know the lengths of two of the sides and the angle between them.

You might be interested in

There are 40 dimes and quarters in a drawer. The total amount of the coins

viva [34]

I think the answer is c

3 0

3 years ago

The figure shows the layout of a symmetrical pool in a water park. What is the area of this pool rounded to the tens place? Use

k0ka [10]

Answer:

$2489ft^{2}$

Step-by-step explanation:

The pool are is divided into 4 separated shapes: 2 circular sections and 2 isosceles triangles. Basically, to calculate the whole area, we need to find the area of each section. Due to its symmetry, both triangles are equal, and both circular sections are also the same, so it would be enough to calculate 1 circular section and 1 triangle, then multiply it by 2.

<h3>Area of each triangle:</h3>

From the figure, we know that <em>b = 20ft </em>and <em>h = 25ft. </em>So, the area would be:

$A_{t}=\frac{b.h}{2}=\frac{(20ft)(25ft)}{2}=250ft^{2}$

<h3>Area of each circular section:</h3>

From the figure, we know that $\alpha =2.21 radians$ and the radius is $R=30ft$ . So, the are would be calculated with this formula:

$A_{cs}=\frac{\pi R^{2}\alpha}{360\°}$

Replacing all values:

$A_{cs}=\frac{(3.14)(30ft)^{2}(2.21radians)}{6.28radians}$

Remember that $360\°=6.28radians$

Therefore, $A_{cs}=994.5ft^{2}$

Now, the total are of the figure is:

$A_{total}=2A_{t}+2A{cs}=2(250ft^{2} )+2(994.5ft^{2})\\A_{total}=500ft^{2} + 1989ft^{2}=2489ft^{2}$

Therefore the area of the symmetrical pool is $2489ft^{2}$

3 0

3 years ago

How would I solve this question

zvonat [6]

Tan(ANGLE) = Opposite Leg / Adjacent Leg

Tan(60) = Y/8

Y = 8 x tan(60)

Y = 8√3

Y = 13.9

4 0

3 years ago

Read 2 more answers

To begin solving this system of linear equations by elimination,you can add the equations

oksian1 [2.3K]

Answer:

The Correct option is C. Addition Property of Equality.

For above Equation by Elimination we use

Addition Property of equality

Step-by-step explanation:

Given:

Addition Property of Equality :

The property that states that if you add the same number to both sides of an equation, the sides remain equal (i.e., the equation continues to be true.)

Here equation is given as

3x + 4y = 38

+ 5x - 4y = -30

-------------------------------------

8x = 8

------------------------------------

Here +4y and -4y gets cancelled or becomes 0 hence 8x = 8.

For above Equation by Elimination we use

Addition Property of equality

5 0

4 years ago

How to solve 2x(x+3)=2x^2+15

Travka [436]

Answer: x = 5/2 = 2.5

Step-by-step explanation:

<u>Given expression</u>

2x (x + 3) = 2x² + 15

<u>Expand parentheses and apply the distributive property</u>

2x · x + 2x · 3 = 2x² + 15

2x² + 6x = 2x² + 15

<u>Subtract 2x² on both sides</u>

2x² + 6x - 2x² = 2x² + 15 - 2x²

6x = 15

<u>Divide 6 on both sides</u>

6x / 6 = 15 / 6

x = 15/6

$\boxed{x=\frac{5}{2} }$

Hope this helps!! :)

Please let me know if you have any questions

5 0

3 years ago

Read 2 more answers