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PtichkaEL [24]
2 years ago
5

How do I workout/find the unknown angles please

Mathematics
1 answer:
Cerrena [4.2K]2 years ago
6 0

Answer: x = 135 degrees and y = 225 degrees.

Step-by-step explanation: To solve this problem we first use the equation (n-2)*180 [n being the number of sides] to find the sum of interior angles in the figure. We plug the values in: (8-2)*180 = 6*180 degrees = 1080 degrees. We divide this by 8 to get the measure of an interior angle: 1080 degrees/8 = 135 degrees. Since all the interior angles of a regular polygon are congruent, we can say that angle x + angle y = 360 degrees. Thus subtract x degrees from 360 degrees to get y: 360 degrees - 135 degrees = 225 degrees. Therefore, x = 135 degrees and y = 225 degrees.

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In the local frisbee league, teams have 7 members and each of the 4 teams takes turns hosting tournaments. At each tournament, e
mars1129 [50]

There are 4 teams in total and each team has 7 members. One of the team will be the host team.

Tournament committee will be made from 3 members from the host team and 2 members from each of the three remaining teams. Selecting the members for tournament committee is a combinations problem. We have to select 3 members out 7 for host team and 2 members out of 7 from each of the remaining 3 teams.

So total number of possible 9 member tournament committees will be equal to:

7C3 \times 7C2 \times 7C2 \times 7C2\\ \\  = 324135

This is the case when a host team is fixed. Since any team can be the host team, there are 4 possible ways to select a host team. So the total number of possible 9 member tournament committee will be:

9 \times 324135\\ \\  =2917215

Therefore, there are 2917215 possible 9 member tournament committees

8 0
3 years ago
What is 1 1/2 multiplied by 2 as a mixed number or fraction
Andrew [12]

Answer:

3

Step-by-step explanation:

1 1/2 can be rewritten as 3/2, so 3/2*2=3.

6 0
3 years ago
Read 2 more answers
SinA=√1-x÷√1+X<br> Find the value of cosA
Irina-Kira [14]

The value of cos A is √(1 + x²)/ (1 - x²) /√1 + x

<h3>Trigonometric ratios</h3>

It is important to note that

sin A = opposite/ hypotenuse

cos A = adjacent/ hypotenuse

Then,

opposite = \sqrt{1} - x

Hypotenuse = \sqrt{1} + x

Let's find the adjacent side using the Pythagorean theroem

(\sqrt{1} + x)^2 = (\sqrt{1 -x } )^2 + x^2

1 + x^2 = 1 - x^2 + x^2

x = \sqrt{\frac{1 + x^2}{1 -x^2} }

cos A = x/hypotenuse

cos A = \frac{\sqrt{\frac{1+x^2}{1 -x^2} } }{\sqrt{1} +x}

cos A = √(1 + x²)/ (1 - x²) /√1 + x

Thus, the value of cos A is √(1 + x²)/ (1 - x²) /√1 + x

Learn more about trigonometric identities here:

brainly.com/question/7331447

#SPJ1

6 0
2 years ago
Ares of a rectangular floor of your house is Ax+5x-2. if the length is x+2 units, find A​
Snezhnost [94]

Answer:

A=4.

Step-by-step explanation:

Note: In the expression of area the first term should be Ax^2.

It is given that area of a rectangular floor of your house is Ax^2+5x-2 and the length is (x+2) units.

We know that, area of a rectangle is

Area=length\times width

Since length of the rectangle is (x+2), therefore (x+2) is a factor of Ax^2+5x-2 and the value of Ax^2+5x-2 is 0 at x=-2.

A(-2)^2+5(-2)-2=0

4A-10-2=0

4A-12=0

4A=12

Divide both sides by 4.

A=4

Therefore, the value of A is 4.

7 0
3 years ago
Solve the equation: 6x - 8 = 2 + 9x - 1<br> A. 4<br> B. -6<br> C. -2<br> D. -3
madreJ [45]

Answer:

D

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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