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4 years ago

What’s 6.82 divided by 3.1

Mathematics

2 answers:

goldenfox [79]4 years ago

8 0

2.2 is the quotient to 6.82 divided by 3.1

Pachacha [2.7K]4 years ago

8 0

Answer:

6.82/3.1= 2.2

Step-by-step explanation:

Make a long divison thing. Put 6.82 inside and 3.1 outside. Then make change 3.1 to 31 and 6.82 to 68.2 and divide. Once your finished move the decimal place one space to the left

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A circle with radius 16 centimeters is inscribed in a square.Which is the area of the shaded region? A. 804.25 square feet B. 10

Dmitrij [34]

Answer:

Area of shaded region = 220.16 ft²

Explanation:

The diagram associated with this question is shown in the attached image

Unit in diagram is ft, so I'll use this unit in the answer

We are given that a circle with radius 16 ft is inscribed in a square

We know that the radius of an inscribed circle in a square is equivalent to half the length of the side of the square

This means that:

side length of the square = 2 × radius = 2 × 16 = 32 ft

From the diagram, we can note that:

area of shaded region = area of square - area of circle .............> equation I

1- getting area of square:

Area of a square is the square of its side length

This means that:

Area of square = (32)² = 1024 ft²

2- getting the area of the circle:

Area of circle = πr² = 3.14 × (16)² = 803.84 ft²

3- getting area of shaded region:

Use equation I

area of shaded region = area of square - area of circle

area of shaded region = 1024 - 803.84 = 220.16 ft²

Hope this helps :)

5 0

3 years ago

Given that g(x)=3x-7 Find the value of k <img src="https://tex.z-dn.net/?f=g%5E%7B2%7D%20%284k%2F3%29%3D8" id="TexFormu

frez [133]

Answer:

{ $\frac{7}{4}$ - $\frac{\sqrt{2} }{2}$ , $\frac{7}{4}$ + $\frac{\sqrt{2} }{2}$ }

Step-by-step explanation:

ax² + bx + c = 0

$x_{12}$ = ( - b ± $\sqrt{b^2 -4ac}$ ) ÷ 2a

~~~~~~~~~~~

g(x) = 3x - 7

g²(x) = (3x - 7)²

g²(x) = 9x² - 42x + 49

g²( $\frac{4k}{3}$ ) = 9( $\frac{4k}{3}$ )² - 42( $\frac{4k}{3}$ ) + 49

9( $\frac{4k}{3}$ )² - 42( $\frac{4k}{3}$ ) + 49 = 8

16k² - 56k + 41 = 0

a = 16 , b = - 56 , c = 41

D = b² - 4ac = ( - 56)² - 4(16)(41) = 512 = $2^{9}$

$k_{1}$ = ( 56 + √ $2^{9}$ ) ÷ 32 = $\frac{7}{4}$ + $\frac{\sqrt{2} }{2}$

$k_{2}$ = $\frac{7}{4}$ - $\frac{\sqrt{2} }{2}$

3 0

3 years ago

What is (f+ g)(x) given that f(x) =-7x^3-1 and g(x)=2x^3+6

vodka [1.7K]

Answer:

this isn't really an answer but use desmos graphing calculator, its an app and a website it will give you the answer.

5 0

3 years ago

Express in the simplest radical form (NO DECIMALS).

kvv77 [185]

$\frac{6 \sqrt{15} }{5}$

7 0

4 years ago

Two sidewalks in a park are represented by lines on a coordinate grid. Two points on each of the lines are shown in the tables.

algol [13]

Answer:

y = 2x + 1 ;

y - 3 = - 3(x - 1) ; y = - 3x + 6 ;

Independent ;

(1, 3)

Step-by-step explanation:

Given the data:

Sidewalk 1:

x __ y

2 _ 5

0 _ 1

Sidewalk 2:

x __ y

1 _ 3

3 _ -3

Equation for sidewalk 1 in slope - intercept form:

Slope intercept form:

y = mx + c

c = intercept ; m = slope

m = (change in y / change in x)

m = (1 - 5) / (0 - 2) = - 4 / - 2 = 2

Y intercept ; value of y when x = 0

(0, 1) ; y = 1

Hence, c = 1

y = 2x + 1

Sidewalk 2:

Point slope form:

y - y1 = m(x - x1)

m = slope

m = = (-3 - 3) / (3 - 1) = - 6/2 = - 3

Point (x1, y1) = (1, 3)

y - 3 = - 3(x - 1)

To slope intercept form:

y - 3 = - 3(x - 1)

y - 3 = - 3x + 3

y = - 3x + 3 + 3

y = - 3x + 6

Since the slope of both lines are different, intersection will be at single point and will have a single solution. This makes it independent.

Using substitution method :

y = 2x + 1 - - - (1)

y = - 3x + 6 - - - (2)

Substitute (1) into (2)

2x + 1 = - 3x + 6

2x + 3x = 6 - 1

5x = 5

x = 1

From (1)

y = 2(1) + 1

y = 2 + 1

y = 3

Coordinate of the point of intersection = (1, 3)

5 0

3 years ago