3 equivalent ratio for 7/8

Answers

Answer 1

Answer: 14/16 (multiplied by 2)
70/80 (multiplied by 10)
21/24 (multiplied by 3)

If allelse fails andyou can't think of any, just multiply both numbers by 10's

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The perimeter of an equilateral triangle is 12\/3 cm. Find the radius, apothem and area of the equilateral triangle.

Answers

Answer:

Radius - 4

Apothem - 2

Area - $12√(3)$ or 20.8

Step-by-step explanation:

Try to draw out my explanation so you know what this looks like.

~~~~

This is an equilateral triangle, so all sides are the same length. The perimeter can be divided by 3 to get each side length...

$12√(3) /3 = 4√(3)$

Now that we know the side lengths, we can get this started!

~~~~

Now, an equilateral triangle has angles that all equal 60 degrees. We can bisect this into TWO special case triangles of measures 90-60-30.

4 times the square root of 3 will be the hypotenuse, and the smallest leg is always half of that. The larger leg is represented as the small leg times the square root of 3.

$Small=2√(3) \nHypotenuse = 4√(3) \nLong =6$

By the way, the formula for the area can be either of the two:

$A= (1)/(2) bh\nor\nA = (1)/(2) NAS$

we can easily find the area using the first formula.

$A= (1)/(2) (4√(3) )(6)\nA=12√(3)$

The radius is the distance from the center to the corners & the apothem is the distance from the center to a side...

So we can divide the big triangle into a mini triangle at the bottom left/right

The height (small leg) of that triangle would be the apothem

The hypotenuse of that triangle would be the radius.

I did the math really quick because this is getting long. Anyhow, the small leg is 2 so is the apothem, and the hypotenus is 4, so is the radius

Happy April Fool's btw, lol.

Solve for x₁ and x₂
6x₁+3x₂=60
6x₁-2x₂=80

Answers

$\left \{ {\big{6x_1+3x_2=60\ \ \ \ \ \ \ \ \ \ \ } \atop \big{6x_1-2x_2=80\ /\cdot(-1)}} \right. \n\n \left \{ {\big{6x_1+3x_2=60\ \ \ \ } \atop \big{-6x_1+2x_2=-80}} \right. \n-----------\n3x_2+2x_2=60-80\n5x_2=-20\ /:5\n\nx_2=-4\n\n6x_1+3x_2=60\ /:3\n2x_1+x_2=20\ \ \ \Rightarrow\ \ \ 2x_1+(-4)=20\ \ \ \Rightarrow\ \ \ 2x_1=24\ /:2\n\nx_1=12\n\n \left \{ {\big{x+1=12} \atop\big {x_2=-4}} \right.$

first let's change the "x1" to "A" Nd the "x2" to "B" __ so now the problem reads "6A + 3B = 60" And "6A - 2B= 80" we want to isolate variable. and the easiest one is the "B" by getting rid of the "A". set up a subtraction problem where you take one equation away from the other. 6a-6a=0. 3b - (-2b) = 5b and 60-80=-20. so your new equation reads 5B= -20. you wanna get B on one side so yu divide 5 on both sides giving you b= -4 or "x2"=-4. from there you can plug -4 into any one of the original equations. ex: 6A -2(-4)=80 then 6A + 8=80 then you subtract 8 from both sides because you're trying to isolate the "A" variable. which leaves you with 6A = 72. and now you wanna get"A" on one side so yu divide 6 from both sides and get A=12 or "x1"=12. do a quick check and plug in these numbers into any one of the equation.

Which multiplication has a negative answer?A) (-1)(-1)
B) (-1)(-1)(-1)(-1)
C) (-1)(-1)(-1)(-1)(-1)
D) (-1)(-1)(-1)(0)

Answers

To find out quickly if multiplication will be positive or negative, count the number of negative signs in each equation. If it comes out even, it is positive. If odd, it will come out negative. Only exception is when 0 is in the mix. First equation has 2, therefore is positive because even. Second has 4, which is another positive because even. 3rd is 5, which is negative because it is odd and has NO 0. 4th has 0.

C is the answer and I hope this helped.

The answer is C. because when you multiply,exponents [-1][-1][-1][-1][-1]. the answer results in the exponent -1.hope i helped

Which set of integers is included in (-1,3]?(1) {0,1,2,3} (3) {-1,0,1,2,3,4}
(2) {-1,0,1,2} (4) {-2,-1,0,1,2,3}

Answers

Hello,

N={0,1,2,3,4,5,...}

(-1,3]={0,1,2,3}⊂N

Answer (1) no negative whole numbers.

Find (9.3 X 10^6) + (1.8 X 10^4).Express your answer in scientific
notation.
Please answer i'm studying for a test tomorrow :D

Answers

Answer:

7.5 × 10²

Step-by-step explanation:

the sales tax in Illinois is 6.25%. about how much will a pair of jeans that has a ticket price of $48.99 cost, including sales tax?

Answers

Cost of the pair of jeans = $48.99

Sales tax = 6.25%

Total cost = $48.99+6.25%

= $49.05

Therefore, the total cost including sales tax is $49.05

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