MATHEMATICS HIGH SCHOOL

Find the area of a regular octagon with apothem K and side of 10.40K
60K
80K

????

Answers

Answer 1

Answer:

Answer: 40K

Step-by-step explanation:

We know that the area of a regular polygon is given by :-

$A=(1)/(2)*Apothem*Perimeter$

Given: The side of regular octagon = 10

Then, the perimeter of the regular octagon = $8(side)=8(10)=80$

Now, the area of given regular octagon is given by :-

$A=(1)/(2)*K*80\n\Rightarrow\ A=40K$

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ohn and 3 friends are going out for pizza for lunch. They split one pizza and 4 large drinks. The pizza cost $13.00. After using a $6.00 gift certificate, they spend a total of $13.20. Write an equation to model this situation, and find the cost of one large drink.
Find the distance bdtween point A to AZ. round your answer to the nearest tenth. big ideas math
If the average of three numbers is V if one number is Z and another is y what is the remaining number ?
Hey guys! How do I complete this question? Do let me know ASAP thank you!!
A.) What is the exact surface area of the container with a radius of 9 in and a height of 36 in?

Simplify 5(MN + 1) - 5.

Answers

1. Distribute the 5 so that you get 5MN + 5 - 5.
Then you subtract the 5's and you're left with 5MN.

Solve the following system of equations algebraically:
y = x^2+7x−4
y = −x−4

Answers

y = x² + 7x - 4
y = -x - 4

x² + 7x - 4 = -x - 4
+ x + x
x² + 8x - 4 = -4
+ 4 + 4
x² + 8x = 0
x(x) + x(8) = 0
x(x + 8) = 0
x = 0 or x + 8 = 0
   - 8 - 8
x = -8

  y = -x - 4
  y = -0 - 4
  y = 0 - 4
  y = -4
(x, y) = (0, -4)
or
y = -x - 4
y = -(-8) - 4
y = 8 - 4
y = 4
(x, y) = (-8, 4)

The solutions are (0, -4) and (8, -4).

y=x²+7x-4
y=-x-4

We can solve this system of equation by equalization method.
x²+7x-4=-x-4
x²+7x+x-4+4=0
x²+8x=0
x(x+8)=0
we have two linear equations :
x=0 ⇒ x=0 ⇒ y=-x-4=-0-4=-4
(x+8)=0 ⇒ x=-8 ⇒ y=-x-4=-(-8)-4=8-4=4

We have two solutions:
solution₁: x=0; y=-4
solution₂: x=-8; y=4

∆STV ~ ∆PQR. Find m∠P.129

9

86

6

Answers

Answer: $86^(\circ)$

Step-by-step explanation:

Given : $\triangle{STV}\sim\triangle{PQR}$

We know that the corresponding angles of two similar triangles are congruent.

i.e. $\angle{S}\cong\angle{P}$ (1)

$\angle{T}\cong\angle{Q}$

$\angle{V}\cong\angle{R}$

From the given picture , we have $\angle{S}=86^(\circ)$

Then from (1), $\angle{P}=86^(\circ)$

Hence, $\angle{P}=86^(\circ)$

m < P = m < S becuase the triangles are similar.

m < P = 86 degrees

Why are circles so important to constructions?

Answers

Its a way to find a range of length without using exact measuments (if your using a compass)
Also you need to know constructions for the weekly tests so your school can get more money

Give one equation that could generate the ordered pair (2,8)

Answers

1). x = 2

2). y = 8

3). y = 4x

4). y = 10x - 12

5). y = 2 x²

which are the roots of the quadratic function f(b) = b2 – 75? check all that apply. b = 5 square root of 3 b = -5 square root of 3 b = 3 square root of 5 b = -3 square root of 5 b = 25 square root of 3 b = -25 square root of 3

Answers

The answers are b = 5 square root of 3; b = -5 square root of 3. f(b) = b^2 – 75. If f(b) = 0, then b^2 – 75 ) 0. b^2 = 75. b = √75. b = √(25 * 3). b = √25 * √3. b = √(5^2) * √3. Since √x is either -x or x, then √25 = √(5^2) is either -5 or 5. Therefore. b = -5√3 or b = 5√3.

Answer:

$b=5√(3)$ and $b=-5√(3)$ are the roots of given quadratic equation.