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yaroslaw [1]
3 years ago
7

What is this?

+ 4x - 12" alt=" {x}^{2} + 4x - 12" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
kirill115 [55]3 years ago
7 0

Answer:

x^2 + 4·x - 12 = (x - 2)·(x + 6)

x^2 + 4·x - 12 = (x + 2)^2 + 8

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Find the theoretical probability of rolling a number cube labeled 1-12 and<br> it landing on 7.
Rashid [163]

Answer:

1/12

Step-by-step explanation:

There are 12 sides, and 7 is one of them. Therefore, there is a 1/12 chance of it landing on that side if it is a fair cube.

3 0
3 years ago
A metal worker has several 1-kilogram bars of a metal alloy that contain 23% copper and several 1-kilogram bars that contain 79%
astraxan [27]

Answer:

30 each of 23% bars and 18 each of 79% bars

Step-by-step explanation:

If x is the number of 1 kg 23% copper bars, and y is the number of 1 kg 79% copper bars, then:

x + y = 48

0.23x + 0.79y = 0.44(48)

Substituting and solving:

0.23x + 0.79(48-x) = 0.44(48)

0.23x + 37.92 - 0.79x = 21.12

16.8 = 0.56x

x = 30

y = 48 - x

y = 18

You need 30 each of 23% bars and 18 each of 79% bars.

4 0
3 years ago
The diameter of a circle is 7 ft. Find its area to the nearest tenth.
Mumz [18]

Answer:

38.5ft²

Step-by-step explanation:

we know the formula for Area is

A=pi*r²

A=38.5

6 0
2 years ago
Deon has a pizza with a diameter
OverLord2011 [107]

The square box is enough to fit the pizza with a diameter of 10 inches inside. Since the area of the square box is more than the area of the pizza, the pizza fits easily in the square box.

<h3>What is the area of the circle and the square?</h3>

The area of the circle is

Ac = πr² = πd²/4 sq. units

Where r is the radius and d is the diameter of the circle.

The area of the square is given by

As = s² sq. units

Where s is the length of the side of a square.

<h3>Calculation:</h3>

It is given that a pizza(in a circular shape) with a diameter d = 10 in is to be placed in a square box of the same length as the diameter of the pizza.

So,

The area of pizza is

Ap = Ac = πd²/4 sq. units

     = π(10)²/4

     = 25π

     = 78.54 sq. in

Then, the area of the square box with the length same as the diameter of the pizza is,

As = d²

    = 10²

    = 100 sq. in

Since the area of the square is more than the area of the pizza (100 sq. inch > 78.54 sq. inch), the pizza easily fits into the square box.

Learn more about the area of a circle here:

brainly.com/question/15673093

#SPJ1

7 0
1 year ago
How do you simplify odd fractions?
gtnhenbr [62]

Answer:

Step-by-step explanation:

How do you simplify fractions with odd numbers? Find the greatest common factor of both the numerator and denominator. Divide the numerator by the GCF. The result will be the simplified numerator.

7 0
3 years ago
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