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Olenka [21]
3 years ago
12

Choose the correct inequality based on the number line below

Mathematics
2 answers:
Ulleksa [173]3 years ago
8 0

Answer:

D. O < -1

Step-by-step explanation:

H is less than A so that inequality is incorrect.

K is greater than A so that inequality is incorrect.

G is greater than -3 so the inequality is incorrect.

Finally, O is less than -1 so it is correct.

Kryger [21]3 years ago
6 0

Answer:

D.

Step-by-step explanation:

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19. When baking a cake, you have a choice of the following pans:
dimaraw [331]

The answer is

round cake - 82.42 in²

rectangular cake - 114 in²

Round cake:

d = 7 in

r = d/2 = 7 in / 2 = 3.5 in

h = 2 in

The surface are of a cylinder is:

A = 2πr² + 2πrh

The surface are of the round cake (which is actually a cylindrical cake) excluding the bottom is:

A = 2πr² + 2πrh - πr²

A = πr² + 2πrh

A = 3.14 * 3.5² + 2 * 3.14 * 3.5 * 2

= 38.46 + 43.96

= 82.42 in²

Rectangular cake:

w = 6 in

l = 9 in

h = 2 in

The surface are of a rectangle is:

A = 2wl + 2wh + 2lh

The surface are of the rectangular cake excluding the bottom is:

A = 2wl + 2wh + 2lh - wl

A = wl + 2wh + 2lh

A = 6 * 9 + 2 * 6 * 2 + 2 * 9 * 2

= 54 + 24 + 36

= 114 in²

Step-by-step explanation: This answer is not mine but JcAlmighty’s so all credits go to them.

7 0
2 years ago
Read 2 more answers
Solve the equation by using the quadratic formula.<br> 3 x squared minus 1 = 7 x
Paladinen [302]

Answer:

b.  \frac{7+\sqrt{61} }{6} ,\frac{7-\sqrt{61} }{6}

Step-by-step explanation:

3x^{2} -1=7x

Quadratic equations are suppose to be written as: ax^2+bx+c=0

so the new quadratic equation for this problem will be: 3x^{2} -1-7x=0

Now rearrange the terms: 3x^{2} -7x-1=0

Then use the Quadratic Formula to Solve for the Quadratic Equation

Quadratic Formula = x=\frac{-b±}{} \frac{\sqrt{b^2-4ac} }{2a}

Note: Ignore the A in the quadratic formula

Once in standard form, identify a, b and c from the original equation and plug them into the quadratic formula.

3x^{2} -7x-1=0

a = 3

b = -7

c = -1

x=-(-7)±\frac{\sqrt{(-7)^2-4(3)(-1)} }{2(3)}

Evaluate The Exponent

x=\frac{7±\sqrt{(49)-4(3)(-1)} }{2(3)}

Multiply The Numbers

x=\frac{7±\sqrt{49+12} }{2(3)}

Add The Numbers

x=\frac{7±\sqrt{61} }{2(3)}

Multiply The Numbers

x=\frac{7±\sqrt{61} }{6}

4 0
3 years ago
Jonas savings increase by 0.15% in one month. Write 0.15% as a decimal and fraction in simplest form
Vilka [71]
0.15 as a decimal, and 3/20 as a fraction
3 0
3 years ago
Is it wrong to play fortnite in 2020?
sukhopar [10]

Answer:

no, like what you want to like

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
X^2+3x-28 which is a biomial of this trinomial
Nostrana [21]
Our polynomial is x^{2} +3x-28
We can tell from -28 that the binomials are one positive and one negative.
We can use a factoring chart. What adds to make +3x and multiplies to make -28. blank + blank=+3x&#10;blank*blank=-28
To get a negative 28, we can multiply -4 and positive seven, which add together after being multiplied by x to get +3x. Therefore, you are left with (x+7) and (x-4).
(x+7)(x-4)

8 0
3 years ago
Read 2 more answers
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