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2 years ago

The diagram shows a regular pentagon.

Mathematics

1 answer:

WINSTONCH [101]2 years ago

4 0

Answer:

a) 540° b) 108°

Step-by-step explanation:

Formula: (n-2)×180°

a) (5-2)×180°

3×180°=540°

b) 540°÷5=108°

n means nr of sides

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at Mr.neelys farm, there were 75 sheep and 60 cows what is the ratio number of cows to the number of sheep's at Mr.neelys farm

Charra [1.4K]

Answer:

The ratio of the number of cows to the number of sheeps in the farm is;

$\begin{gathered} \frac{4}{5} \\ Or \\ 4\colon5 \end{gathered}$

Explanation:

Given that;

there were 75 sheep

and 60 cows

We want to find the ratio of the number of cows to the number of sheeps in the farm;

$\text{ratio}=\frac{\text{ number of cows }}{\text{ number of sh}eeps}=\frac{60}{75}$

reducing the ratio to the least form;

$\text{ratio=}\frac{60}{75}=\frac{4}{5}$

Therefore, the ratio of the number of cows to the number of sheeps in the farm is;

$\begin{gathered} \frac{4}{5} \\ Or \\ 4\colon5 \end{gathered}$

3 0

1 year ago

Graph this function using intercepts:<br> 5x–3y=30

rodikova [14]

Answer:

hi im rachel

Step-by-step explanation:

5 0

3 years ago

The base perimeter of a triangular prism is 36cm and lateral surface area is

Phoenix [80]

(a)

Lateral surface area of prism =720cm²(Given) Perimeter x height = 720

36 x height = 720

$∴ Height\: of\: prism = \frac{720}{36} = 20\\(b) Total \:surface\: area\: of\: prism = 2 x \:base\: area\: + L.\: S.\: A\: of \:prism \\ = \frac{2 \times \sqrt{3} }{4} \times( {12}^{2} ) + 720 \\ = (72 \sqrt{3} + 720) {cm}^{2} \\ = (72 \times 1.732 + 720) {cm}^{2} \\ = 844.704 \frac{}{} {cm}^{2}$

4 0

3 years ago

Really confused on how to approach this problem.

kkurt [141]

Step-by-step explanation:

For this Q, you should draw a triangle to help you with the values.

cos x =

$\frac{ \sqrt{2} }{2}$

csc x =

$\frac{2}{ \sqrt{2} }$

tan x = sin x/ cos x

= 1

cot x = 1

sec x =

$\frac{ \sqrt{2} }{2}$

x = 45 degrees

6 0

3 years ago

What is the discriminant of the quadratic equation 9x2 – X – 8=0?

goldfiish [28.3K]

Answer:

288

Step-by-step explanation:

a = 9

b = -1

c = -8

b^2 * -4 * ( a * c )

Just filing in the numbers given above:

-1^2 * -4 * ( 9 * -8 )

1 * -4 * ( -72)

1 * + 288 = 288

5 0

3 years ago