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3 years ago

Find the solutions to x2 = 20.

Mathematics

1 answer:

Gemiola [76]3 years ago

3 0

Answer:

Step-by-step explanation:

$x^2=20; \ => \ \left[\begin{array}{ccc}x=\sqrt{20} \\x=-\sqrt{20} \end{array} \ => \ \left[\begin{array}{ccc}x=2\sqrt{5} \\x=-2 \sqrt{5} \end{array}$

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I need help can someone help me out

Natalija [7]

Answer:

C' (-1,-2)

V' (-2,2)

N' (2,0)

Answered by GAUTHMATH

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3 years ago

What decimal number is halfway between 14 and 15?

MArishka [77]

$14+x=15-x\\\\x+x=15-14\\\\2x=1\ /:2\\\\x= \frac{1}{2} \ \ \ \Rightarrow\ \ \ 14+x=14+ \frac{1}{2} =14.5$

4 0

3 years ago

Read 2 more answers

Area of triangle where A=50, b=31, c=18

Mrac [35]

Use Heron's Formula:
s means semi-perimeter = (50 + 31 + 18) / 2 = 99 / 2 =
49.5
area = sq root [(s * (s-a) * (s-b) * (s-c)]
area = sq root [(49.5 * (s-a) * (s-b) * (s-c)]

This will NOT form a triangle. The longest side (50) is greater than the sum of the other 2 sides.

Source:
http://www.1728.org/trianinq.htm

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4 years ago

13. WRITE Math Write Standard Form, Expanded Form, and Word Form

attashe74 [19]

Answer:

Numbers can be written in different forms; examples of numbers written in standard form, expanded form and short word form are given below:

A. STANDARD FORM

(a). 81,326,412 = 8.1326412 * 10^7.

(b). 25,749,888 = 2.5749888 * 10^7.

(c). 93,782,514 = 9.3782514 * 10^7.

(d). 54,214,419 = 5.4214419 * 10^7.

(e). 97,222,119 = 9.7222119 * 10^7.

B. EXPANDED FORM

(a). 80,000,000 +1,000,000 +300,000 +20,000 + 6,000 +400 + 10 + 2.

(b). 20,000,000 + 5,000,000 + 700,000 + 40,000 + 9,000 + 800 + 80 + 8.

(c). 90,000,000 + 3,000,000 + 700,000 + 80,000 + 2,000 + 500 + 10 + 4.

(d). 50,000,000 + 4,000,000 + 200,000 + 10,000 + 4,000 + 400 + 10 + 9.

(e). 90,000,000 + 7,000,000 + 200,000 +20,000 + 2,000 + 100 + 10 + 9.

C. WORD FORM

(a). Eighty one million, three hundred and twenty six thousand, four hundred and twelve.

(b). Twenty five million, seven hundred and forty nine thousand, eight hundred and eighty eight.

(c). Ninety three million, seven hundred and eighty two thousand, five hundred and fourteen.

(d). Fifty four million, two hundred and fourteen thousand, four hundred and nineteen.

(e). Ninety seven million, two hundred and twenty two thousand, one hundred and nineteen.

7 0

3 years ago

Two gears are connected and are rotating simultaneously. The smaller gear has a radius of 3 inches, and the larger gear has a ra

Crank

Answer:

<u>Part 1:</u> Angle = 154.3°

<u>Part 2:</u> About 2.33 Rotations

Step-by-step explanation:

Part 1:

The arc length of a circle is given by the formula $s=r\theta$

Where

s is the arc length
r is the radius of the circle
$\theta$ is the angle

**The angle are in radians and we will use radian**

When smaller gear has made 1 complete rotations ( $2\pi$ radians), the arc length traveled is $s=r\theta\\s=(3)(2\pi)\\s=6\pi$

Now, what angle is swept by the larger circle when it travels $6\pi$ ? Put in $s=6\pi$ and r is 7 to find $\theta$ :

$s=r\theta\\6\pi=(7)\theta\\\theta= \frac{6\pi}{7}$

** Since $\pi$ radians is 180°, we plug in 180 into $\pi$ and find the degree measure:

$\frac{6\pi}{7}=\frac{6*180}{7}=154.3$

Angle = 154.3°

Part 2:

In one complete rotation of the larger gear, it travels a distance of:

$s=r\theta\\s=(7)(2\pi)\\s=14\pi$

We know that the smaller circle makes 1 rotation and travels $s=r\theta=(3)(2\pi)=6\pi$ , so in $14\pi$ distance, it makes:

Rotations = $\frac{14\pi}{6\pi}=\frac{14}{6}=2.33$

About 2.33 Rotations

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3 years ago