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alekssr [168]
3 years ago
6

Can you very be kind and answer

Mathematics
1 answer:
Lera25 [3.4K]3 years ago
4 0

area of a circle is PI x r^2

2 = d/2 = 5.4/2 = 2.7 cm

 using 3.14 for PI

3.14 x 2.7^2 = 22.89 square inches

360 degree in a circle, shaded area is 180 degree, which is 50%

 so 22.89 x .5 = 11.45 cm^2

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john is twice as old as mary. the sum of their ages is 21. how old is mary? let j = john's age and m = mary's age. select the sy
Verdich [7]
Hello,

let's assume j the john's age, m the mary's age.

<span>"John is twice as old as mary"==>j=2*m
</span>
<span>"the sum of their ages is 21" ==>j+m=21

==>2*m+m=21
==>3m=21
==>m=7
and j=21-7=14

</span>
3 0
3 years ago
Solve the equation for x∈Z <br><br>-x² +8x -14 ≥ 0
kenny6666 [7]
ax^2+bx+c=0\\\Delta=b^2-4ac\\if\ \Delta < 0\ then\ no\ solutions\\if\ \Delta=0\ then\ one\ solution:x=\frac{-b}{2a}\\if\ \Delta > 0\ then\ two\ solutions:x=\frac{-b\pm\sqrt\Delta}{2a}\\================================\\\\-x^2+8x-14\geq0\ \ \ \ |multiply\ both\ sides\ by\ (-1)\ \{change\ \geq\ on\ \leq\}\\\\x^2-8x+14\leq0\\\\a=1;\ b=-8;\ c=14\\\\\Delta=(-8)^2-4\cdot1\cdot14=64-56=8 > 0\\\sqrt\Delta=\sqrt8=\sqrt{4\cdot2}=\sqrt4\cdot\sqrt2=2\sqrt2

x_1=\frac{-(-8)-2\sqrt2}{2\cdot1}=\frac{8-2\sqrt2}{2}=\frac{8}{2}-\frac{2\sqrt2}{2}=\boxed{4-\sqrt2}\\\\x_2=\frac{-(-8)+2\sqrt2}{2\cdot1}=\frac{8+2\sqrt2}{2}=\frac{8}{2}+\frac{2\sqrt2}{2}=\boxed{4+\sqrt2}\\\\============================

ax^2+bx+c=0\\\\if\ a > 0\ then\ the\ parabola\ o pen\ up\\if\ a < 0\ then\ the\ parabola\ o pen\ down\\========================\\\\a=1 > 0-therefore\ o pen\ up\ (look\ at\ the\ picture)\\\\===============================\\\\Answer:x\in\left


Solutions\ in\ \mathbb{Z}:\\\\\sqrt2\approx1.4\\\\threfore:4-\sqrt2\approx4-1.4=2.6\ and\ 4+\sqrt2\approx4+1.4=5.4\\\\look\ at\ the\ second\ picture:x=3\ or\ x=4\ or\ x=5\ (x\in\{3;\ 4;\ 5\})

6 0
3 years ago
Read 2 more answers
A qué se le llama factor comun​
Archy [21]

Answer: spanish no

Step-by-step explanation:

7 0
2 years ago
What are the factors of x2 – 4x – 5? Check all that apply.
harkovskaia [24]
When you factor (x^2-4x-5), you get (x+1)(x-5).
7 0
2 years ago
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Write an equation of the line that passes through the given point and is (a) parallel and (b) perpendicular to the given line.
inessss [21]

Answer:

(a). <em>y = 3x - 11 ;</em> (b). <em>y = </em>-\frac{1}{3}<em> x - 1 </em>

Step-by-step explanation:

Parallel lines have the same slopes

Slopes of perpendicular lines are opposite reciprocals.

(3, - 2)

The slope of given line is 3

<em>(a)</em>. Equation of ║ line is

y + 2 = 3(x - 3)

<em>y = 3x - 11</em>

<em>(b).</em> Slope of perpendicular line is -\frac{1}{3}

y + 2 = -\frac{1}{3} (x - 3)

<em>y = </em>-\frac{1}{3}<em> x - 1</em>

5 0
3 years ago
Read 2 more answers
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