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Aleonysh [2.5K]
3 years ago
12

Which equation represents the rectangular form of r = 8?

Mathematics
2 answers:
Dovator [93]3 years ago
7 0

Answer:

x^2 + y^2 = 64

Step-by-step explanation:

EDGE 2020

n200080 [17]3 years ago
4 0

Answer:

B  

Step-by-step explanation:

Edge2021

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The length of the hypotenuse of a 30°-60°-90° triangle is 12. Find the perimeter.
cluponka [151]
The answer is 18 + 6√3 or 18 + <span>√108.</span>

In a<span> 30°-60°-90° triangle, the hypotenuse (c) is twice the length of the shorter leg (a):
c = 2a   </span>⇒ a =  c ÷ 2 = 12 ÷ 2 = 6<span>

In a </span>30°-60°-90° triangle, the longer leg is equal to the shorter leg multiplied by √3:
b = √3a = √3 · 6

Now we have the length of all three sides:
a = 6
b = 6√3 = √6² · √3 = √36 · √3 = √(36 · 3) = √108
c = 12

So, the perimeter (P) of the triangle is:
P = a + b + c = 6 + 6√3 + 12 = 18 + <span>6√3 = 18 + </span>√108
7 0
3 years ago
Factor 9x^+12x+4=0 please help
UkoKoshka [18]

Answer:

(3x+2) ^2

x = -2/3

Step-by-step explanation:

9x^2+12x+4 = 0

We need to recognize that this is perfect squares

(a + b)2 = a^2 + 2ab + b^2;

Where a = 3x  and b =2

a^2 = 9x^2 2ab = 2*3x*2 = 12x and b^2 = 2^2 =4

So we can factor this as (3x+2) ^2

If you want to solve

We can use the zero product property

(3x+2) ^2 =0

Take the square root of each side

3x+2 =0

Subtract 2 from each side

3x=-2

Divide by 3

3x/3 = -2/3

5 0
3 years ago
Marie buys lunch for $8.42. She pays with $10 bill and two quarters. How much change does she receive?
Rainbow [258]

2 dollar bills, one nickel, and three pennies ($2.08) :)

8 0
3 years ago
Read 2 more answers
Help pls asap!! No links.
algol [13]

Answer:

Step-by-step explanation:

1. Do what is inside the parantheses

4^{2} +3+2\\16+3+2 = 21

7^{2} +3(21)

2. Simplify both terms

7^{2} =49\\3(21) = 63\\49+63

3. Solve

49+63 = 112

7 0
2 years ago
Read 2 more answers
An atm personal identification number (pin) consists of four digits, each a 0, 1, 2, . . . 8, or 9, in succession.
andrey2020 [161]

An atm personal identification number (pin) consists of four digits, each a 0, 1, 2, . . . 8, or 9, in succession.

a. How many different possible pins are there if there are no restrictions on the choice of digits?

Solution: The are total 10 numbers between 0 and 9.

Also there are no restrictions on the choice of digits. Therefore, the possible number of different PINs is:

10^{4}

10000

Therefore, there are 10,000 different possibles PINs.

3 0
3 years ago
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