All categories

3 years ago

Two vertices of an equilateral triangle are located at (2, 0) and (–2, –3). What is the triangle’s perimeter?

Mathematics

1 answer:

Black_prince [1.1K]3 years ago

3 0

Answer:

Step-by-step explanation:

one side is equal to 5. So 5 ×3

You might be interested in

Does the table represent a function ? If so, state the domain and range. If not, state why. (Picture)

andrezito [222]

Yes

For f(x) to represent a function each value of x from the domain must only map to one unique value in the range, called one-to-one

This is the case here as each value of x maps to one unique value in the range

domain x ∈ {- 5, - 4, 0, 3 }

range y ∈ {0, 2, 10, 16 }

7 0

3 years ago

For this item, a non-integer answer should be entered as a fraction using / as the fraction bar.

Kipish [7]

The numerical expression, 2/3 ÷ 2⁴ + (3/4 + 1/6) ÷ 1/3 = <u>67/24</u> on simplification using the BODMAS rule.

In the question, we are asked to simplify the numerical expression:

2/3 ÷ 2⁴ + (3/4 + 1/6) ÷ 1/3.

To simplify the expression, we will follow the BODMAS rule, where B means Brackets, O means Of, D means Divide, M means Multiplication, A means Addition, and S means Subtraction.

2/3 ÷ 2⁴ + (3/4 + 1/6) ÷ 1/3

= 2/3 ÷ 16 + (3/4 + 1/6) ÷ 1/3 {Solving 2⁴ = 16, before proceeding BODMAS}.

= 2/3 ÷ 16 + ((9+2)/12) ÷ 1/3 {Solving Brackets by taking LCM}

= 2/3 ÷ 16 + 11/12 ÷ 1/3 {Simplifying}

= 2/3 * 1/16 + 11/12 * 3/1 {Solving divisions by taking reciprocals}

= 1/24 + 11/4 {Multiplying}

= (1 + 66)/24 {Adding using LCM}

= 67/24 {Simplifying}.

Thus, the numerical expression, 2/3 ÷ 2⁴ + (3/4 + 1/6) ÷ 1/3 = <u>67/24</u> on simplification using the BODMAS rule.

Learn more about the simplification of numerical expression at

brainly.com/question/17205434

#SPJ1

The provided question is incomplete. The complete question is:

"Type the correct answer in the box. Use numerals instead of words. For this item, a non-integer answer should be entered as a fraction using / as the fraction bar.

Simplify the numerical expression.

2/3 ÷ 2⁴ + (3/4 + 1/6) ÷ 1/3

The expression has a value equal to."

5 0

2 years ago

What do you add to 2 3/8 to make 6

scoundrel [369]

29 because first u add 5 then 8 3 times.

7 0

3 years ago

Solve the equation for x, accurate to three decimal places: log3 (log2 x) = 1.

lesya692 [45]

Make both sides powers of 3:

$3^{\log_3(\log_2x)}=3^1\implies\log_2x=3$

Make both sides powers of 2:

$2^{\log_2x}=2^3\implies x=8=8.000$

4 0

3 years ago

Can you please help me out

Taya2010 [7]

The bag contains,

Red (R) marbles is 9, Green (G) marbles is 7 and Blue (B) marbles is 4,

Total marbles (possible outcome) is,

$\text{Total marbles = (R) + (G) +(B) = 9 + 7 + 4 = 20 marbles}$

Let P(R) represent the probablity of picking a red marble,

P(G) represent the probability of picking a green marble and,

P(B) represent the probability of picking a blue marble.

Probability , P, is,

$\text{Prob, P =}\frac{required\text{ outcome}}{possible\text{ outcome}}$ $\begin{gathered} P(R)=\frac{9}{20} \\ P(G)=\frac{7}{20} \\ P(B)=\frac{4}{20} \end{gathered}$

Probablity of drawing a Red marble (R) and then a blue marble (B) without being replaced,

That means once a marble is drawn, the total marbles (possible outcome) reduces as well,

$\begin{gathered} \text{Prob of a red marble P(R) =}\frac{9}{20} \\ \text{Prob of }a\text{ blue marble =}\frac{4}{19} \\ \text{After a marble is selected without replacement, marbles left is 19} \\ \text{Prob of red marble + prob of blue marble = P(R) + P(B) = }\frac{9}{20}+\frac{4}{19}=\frac{251}{380} \\ \text{Hence, the probability is }\frac{251}{380} \end{gathered}$

Hence, the best option is G.

5 0

1 year ago

Two vertices of an equilateral triangle are located at (2, 0) and (–2, –3). What is the triangle’s perimeter?​

Two vertices of an equilateral triangle are located at (2, 0) and (–2, –3). What is the triangle’s perimeter?