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faust18 [17]
3 years ago
9

The diagram shows a sector of a circle radius 11 cm.

Mathematics
1 answer:
nadya68 [22]3 years ago
4 0

Answer:

Perimeter of sector is 47.93 cm which is greater than 47.5 cm

Step-by-step explanation:

Mathematically, the perimeter of a sector is length of the arc plus 2 radii

The length of the arc is;

theta/360 * 2 * pi * r

where theta is the angle subtended by the arc at the center of the circle

Thus, we have

135/360 * 2 * 22/7 * 11 = 25.93

Add 2 radii = 25.93 + 2(11) = 47.93 cm

This is greater than what we are asked to calculate and thus we have shown what we are asked to show

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Oscar has elected to have 23% of his federal income tax withheld as state income tax. if $154.00 was withheld as federal income
zvonat [6]

The amount that will be withheld from his paycheck for income tax in all is d. $189.42.

<h3>What is the amount withheld?</h3>

The amount withheld is a credit against the income taxes the employee must pay during the year.

The amount withheld from his paycheck for income tax in all is given by;

Amount withheld = State income tax + ( State income tax× Percentage of federal income tax)

Where:

State income tax=$154.00

Percentage of federal income tax=23%

Substitute all the values in the formula

Amount withheld=$154.00+($154,00×23%)

Amount withheld=$154.00+$35.42

Amount withheld=$189.42

Hence, the amount that will be withheld from his paycheck for income tax in all is d. $189.42.

Learn more about income tax here:

brainly.com/question/25641320

6 0
2 years ago
Use the equation A = bh to calculate the height of a parallelogram with an area of 36 square inches and a base of 9 inches
hichkok12 [17]

Answer:

4 inches

Step-by-step explanation:

A = b x h

A = 36

b = 9

36 = 9 x h

4 = h

height = 4 inches

6 0
2 years ago
The graph below represents the solution set of which inequality?
natulia [17]

Answer:

option: B (x^2+2x-8) is correct.

Step-by-step explanation:

We are given the solution set as seen from the graph as:

(-4,2)

1)

On solving the first inequality we have:

x^2-2x-8

On using the method of splitting the middle term we have:

x^2-4x+2x-8

⇒  x(x-4)+2(x-4)=0

⇒ (x+2)(x-4)

And we know that the product of two quantities are negative if either one of them is negative so we have two cases:

case 1:

x+2>0 and x-4

i.e. x>-2 and x<4

so we have the region as:

(-2,4)

Case 2:

x+2 and x-4>0

i.e. x<-2 and x>4

Hence, we did not get a common region.

Hence from both the cases we did not get the required region.

Hence, option 1 is incorrect.

2)

We are given the second inequality as:

x^2+2x-8

On using the method of splitting the middle term we have:

x^2+4x-2x-8

⇒ x(x+4)-2(x+4)

⇒ (x-2)(x+4)

And we know that the product of two quantities are negative if either one of them is negative so we have two cases:

case 1:

x-2>0 and x+4

i.e. x>2 and x<-4

Hence, we do not get a common region.

Case 2:

x-2 and x+4>0

i.e. x<2 and x>-4

Hence the common region is (-4,2) which is same as the given option.

Hence, option B is correct.

3)

x^2-2x-8>0

On using the method of splitting the middle term we have:

x^2-4x+2x-8>0

⇒ x(x-4)+2(x-4)>0

⇒ (x-4)(x+2)>0

And we know that the product of two quantities are positive if either both of them are negative or both of them are positive so we have two cases:

Case 1:

x+2>0 and x-4>0

i.e. x>-2 and x>4

Hence, the common region is (4,∞)

Case 2:

x+2 and x-4

i.e. x<-2 and x<4

Hence, the common region is: (-∞,-2)

Hence, from both the cases we did not get the desired answer.

Hence, option C is incorrect.

4)

x^2+2x-8>0

On using the method of splitting the middle term we have:

x^2+4x-2x-8>0

⇒ x(x+4)-2(x+4)>0

⇒ (x-2)(X+4)>0

And we know that the product of two quantities are positive if either both of them are negative or both of them are positive so we have two cases:

Case 1:

x-2 and x+4

i.e. x<2 and x<-4

Hence, the common region is: (-∞,-4)

Case 2:

x-2>0 and x+4>0

i.e. x>2 and x>-4.

Hence, the common region is: (2,∞)

Hence from both the case we do not have the desired region.

Hence, option D is incorrect.




5 0
3 years ago
Explain how to graph the in inequality 8&gt;y
insens350 [35]

Answer:

How to Graph a Linear Inequality

First, graph the "equals" line, then shade in the correct area.

There are three steps:

1.) Rearrange the equation so "y" is on the left and everything else on the right.

2.) Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)

4.) Shade above the line for a "greater than" (y> or y≥)  or below the line for a "less than" (y< or y≤).

Hope This Helps!    Have A Nice Day!!

8 0
3 years ago
Show how to solve the problem 378 x 6 using place value with regrouping. Explain how you knew when to regroup.
KIM [24]

<u>Answer</u>

2,268


<u>Explanation</u>

<u> </u>

<u>By grouping 378 ca</u>n be written as,

378 = 300 + 70 + 8

6× 378 = 6 × (300 + 70 + 8)

             = (6×300) + (6×70) + (6×8)

             = 1800 +  420 + 48

              = 2,268

8 0
2 years ago
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