Find the measure of one exterior angle for the following regular polygon.​

Answer:

[tex] ({a + b})^{2} [/tex]

[tex](a + b)(a + b)[/tex]

[tex] {a}^{2} + 2ab + {b}^{2} [/tex]

hope this help you

Answer:

8.18

Step-by-step explanation:

r = square root of A/ pi

R = square root 210/ 3.14

I hope the formula helped!

Answer:

calculate the volume of a prism whose length is 25cm and cross-section is an equilateral triangle of sides 3

Answer:

a square adds up to 360°degrees so 1 angle adds to 90degrees so 18x° =90°

so x=5

angle 8 and 5 are supplementary angle

Step-by-step explanation:

Maybe

(m²)(-3)

-3m²

hope it helps

Answer:

The inscribed angle intercepts the circle's radius is always 90

Step-by-step explanation:

[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow (side)4[/tex]

[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow 4(10)[/tex]

[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow 40km[/tex]

[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow Surface\:Area=Perimeter\times Height[/tex]

[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow Surface\:Area=40(9.4)[/tex]

[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow Surace\:Area=384m^2[/tex]

Answer:

95cm

Step-by-step explanation:

c²=76²+57²

c²=5776+3249

√c²=√9025

c=95

I hope this helps

Answer:

let the polynomial be

f(x)=x³+2kx+2

is divided by

g(x)=x+2

hence

(x+2) is a factor of f(x)

so comparing with x-a we get a=-2

so

f(a)=0

f(-2)=(-2)³+2*-2*k+2

0=-8-4K+2

4k=-6

K=-6/4

k=-3/2

again

when divided by x+1

g(x)=x+1

hence

x+1 is a factor

so a=-1

f(-1)=-(1)³+2*-1*k+2

0=-1-2k+2

0=1-2k

k=1/2

The value of k is 1/2 when divided by x+1

and

K =-3/2 when divided by x+2

Step-by-step explanation:

Given that,

We have to find the value of m∠E.

Here, two sides are equal, thus it is an isosceles triangle. As the two sides are equal, so their angles must be equal. So, ∠E and ∠D will be equal. Let us assume the measures of both ∠E and ∠D as x.

→ Sum of all the interior angles of ∆ = 180°

→ ∠E + ∠D + ∠F = 180°

→ 116° + x + x = 180°

→ 2x = 180° – 116°

→ 2x = 64°

→ x = 64° ÷ 2

→ x = 32°

Henceforth,

→ m∠E = x

→ m∠E = 32°

[tex] \\ [/tex]

~

Answer:

the required matrix is can be given as

Answer:

X is greater than 5.

Step-by-step explanation:

You choose the correct answer because X > 5.

Meaning that x would be any number over 5.

Answer:

2/5m - 1/5

Step-by-step explanation:

Given the equation :

2(1/5m - 2/5) + 3/5

First step:

Open the bracket by multiplying values in the bracket by 2

2/5m - 4/5 + 3/5

-4/5 + 3/5 = (-4 + 3) / 5 = - 1 / 5

Hence,

2/5m - 4/5 + 3/5 = 2/5m - 1/5

= 2/5m - 1/5

Answer:

I believe it's 12 in.

Step-by-step explanation:

hope this helps you!

This is the same pattern in the graphs of sine and cosine. ... The correct answe is - The high and low points repear in pattern and the cycle repeats at equal time intervals. The correct answer: The high and low points repeat in pattern

Solution :

Maximize, S = xy

subject to 2x + 2y = 996

So,

2x + 2y = 996

2(x + y) = 996

x + y = 498

y = 498 - x

Therefore,

S = x (498 - x)

S = 498x - [tex]x^2[/tex]

S = [tex]-x^2 + 498x[/tex]

[tex]$S = -(x^2-498x + 249^2) + 300^2$[/tex]

[tex]$S= -(x-249)^2 + 249^2$[/tex]

S = x (498 - x)

S = 498x - [tex]x^2[/tex]

[tex]$\frac{dS}{dx}= 498 - 2x$[/tex]

[tex]$\frac{dS}{dx}= 0$[/tex]

498 - 2x = 0

2x = 498

x = 249

∴ y = 498 - x

  y = 498 - 249

     = 249

Answer:

A = 249 x 249 = 62001 square meter.

Side is L = 249 m

Step-by-step explanation:

Total length of the fence is 996 m.

Let the length is L and the width is W.

Perimeter = 2 (L + W)

996 = 2 (L + W)

498 = L + W

L = 498 - W ...... (1)

Let the area is

A = L W

A = (498 - W) W

A = 498 W - W^2

Differentiate with respect to W.

dA/dW = 498 - 2 W

Put it equal to zero.

498 - 2 W = 0

W = 249 m

Now, L = 498 - 249 = 249 m

Differentiate with respect to W again

[tex]\frac{d^2A}{dW^2} = - 2[/tex]

As it is negative so the area is maximum.  

The maximum area is

A = 249 x 249 = 62001 square meter.

Side is L = 249 m

Answer:

C x=8

Step-by-step explanation:

Chúc bạn ngày mới tốt lành

Answer:

40 books

Step-by-step explanation:

s = Stella's books

t = Tina's books

Given:

s = 5t

s - 16 = t + 16

Plug first equation into second:

5t - 16 = t + 16

4t = 32

t = 8 books

s = 5t = 40 books

((Check: 40 - 16 = 24 = 8 + 16 ✔ ))

Answer:

x = 14

Step-by-step explanation:

add 6 to both sides:

8+6 = 6-6+x

14 = x

x = 14

Step-by-step explanation:

-9x+15=3(2-x)

6-6x

2. collect like terms

-9x+15= 6-6x

15-6 = 6x+9x

11= 15x

3. divide both sides by the coefficient of X which is 15

x= 11/15

Answer:

Step-by-step explanation:

2 hour

To seconds = 7200

Hope this  answer helps you :)

Have a great day

Mark brainliest

Answer:

Not equivalent to any of the options

Step-by-step explanation:

Given:

7^2m * 6^2m

Since, they both have different bases, multiply the bases and add the powers

7^2m * 6^2m

= (7 * 6)^(2m + 2m)

= 42^4m

Therefore,

7^2m * 6^2m is equivalent to 42^4m

A. 42^6m

Not equivalent

B. 42^m

Not equivalent

C. 42^9m

Not equivalent

Answer:

x=180-125

=55

z=55

y=180-(55+55)

y=70

Answer:

D 26, 05

Step-by-step explanation:

(look at picture attached)

Answer:

Mr Mohapi is selling cheaper chairs

Step-by-step explanation:

Find the cost per chair from both prices by dividing the total price by the number of chairs:

22500/500

= 45

9600/200

= 48

So, Mr Mohapi is selling at a price of $45 per chair and Mr Shuma is selling at a price of $48 per chair.

Since 45 is smaller than 48, Mr Mohapi's chairs are a better deal.

Mr Mohapi is selling cheaper chairs.

Answer:

Step-by-step explanation:

Answer:

m = 10, n = [tex]\sqrt{75}[/tex]

Step-by-step explanation:

We know that the value of an altitude of a right triangle is the square root of the values that the altitude split multiplied together (or the square root of the value of the bases multiplied together).

The values here would be 5 and 15. 5 times 15 is 75, so the value of the altitude is the square root of 75. To find the value of m, we can use the Pythagorean theorem, where 5 and n are the legs and m is the hypotenuse. We already know the value of n, so we can plug that into the Pythagorean theorem:

[tex]5^2+(\sqrt{75})^2=m^2[/tex]

We know 5 squared is 25, and the square of the square root of 75 is 75, and 75 + 25 is 100.

[tex]m^2=100[/tex]

This means that m is equal 10, because the square root of 100 is m.

Answer:

girls = 40%

boys = 60%

Step-by-step explanation:

Girls = 160

boys = 240

total students = 160+240

= 400

so,

percent of girls = (160/400)×100%

= (2/5)×100%

= 2×20%

= 40%

so,

percent of boys = 100% - 40%

= 60%

Answer:

tanC will be given by the opposite over the adjacent

tanC=24/32

simplified to 6/8

I hope this helps

Answer:

A

Step-by-step explanation:

The answer is A. Answered by Gauthmath