Multiply o binomial by a trinomial
(x-1) (x²+x+1)
​

Answer:

Area covered by beam = 530 mi² (Approx.)

Step-by-step explanation:

Given:

Radius = 15 mi

Arc angle = 270°

Find:

Area covered by beam

Computation:

Area of sector = [θ/360][π][r²]

Area covered by beam = [270/360][22/7][15²]

Area covered by beam = [0.75][3.1428][225]

Area covered by beam = 530 mi² (Approx.)

Answer:

It's D. The initial value of y is 3 because 6,9 and 12 are 3 digits apart, and it always is Y over X

Answer:

The answer is "2793 miles"

Step-by-step explanation:

In this firstly we convert degrees to radians, which can be defined as follows:

[tex]\to \theta =\frac{40^{\circ} \times \pi }{180^{\circ}}[/tex]

       [tex]=\frac{ 2\pi }{9}[/tex]

Now calculating the distance:

[tex]=\frac{2\pi }{9} \times 4000\\\\= \frac{8000 \pi }{9}[/tex]

[tex]=\frac{8000\times 3.14 }{9}\\\\ = \frac{25120}{9}\\\\=2793 \ miles[/tex]

Answer:

4 streamlined shapes reduces friction on airplane

A streamlined shape reduces friction on an airplane. The correct statement is 4.

The process of making choice is by identifying the correct decision, gathering information, and assessing alternative solutions.

To determine the correct statement will be

1. Friction is a force causing rotation.

The statement is incorrect because the cause of rotation is force.

2. Efficiency of the lever is a highly efficient 1st class lever.

The statement is incorrect.

3. Torque is output divided by input.

The statement is incorrect because the output divided by input is known as productivity.

4. Streamlined shape reduces friction on an airplane.

The statement is correct.

5. Equal-arm balance loss of energy.

The statement is incorrect.

More about the decision-making link is given below.

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Answer:

16.8

Step-by-step explanation:

Given:

The system of equations is:

[tex]x+3y=-13[/tex]

[tex]4x+4y=-12[/tex]

To find:

The solution for the given system of equations.

Solution:

We have,

[tex]x+3y=-13[/tex]            ..(i)

[tex]4x+4y=-12[/tex]          ...(ii)

Multiply equation (i) by 4, to make common coefficient of x.

[tex]4x+12y=-52[/tex]            ..(iii)

Subtract (ii) from (iii).

[tex]4x+12y-4x-4y=-52-(-12)[/tex]

[tex]8y=-40[/tex]

[tex]y=\dfrac{-40}{8}[/tex]  

[tex]y=-5[/tex]  

Putting [tex]y=-5[/tex] in (i), we get

[tex]x+3(-5)=-13[/tex]

[tex]x-15=-13[/tex]

[tex]x=-13+15[/tex]

[tex]x=2[/tex]

Therefore, the solution of the given system of equations is [tex]x=2,y=-5[/tex].

Answer:

36%

Step-by-step explanation:

Tried it with 100 as a base and got to 36. Should be right :)

Answer:

He had not sold 90%

Step-by-step explanation:

make everything a percent. 20%+20%+25%+25%. Then subtract the total by 100% and get 90%

Answer:

$266

Step-by-step explanation:

The amount did Ian pay, without tax,for the guitar is to be considered as the $266 when the off and discount are given.

Since the cost of the guitar is $350

There is 20% off.

And, there is 5% off the sale price

So, it be like

= 350 (1 - 0.20) (1 - 0.05)

= $266

hence, The amount did Ian pay, without tax,for the guitar is to be considered as the $266 when the off and discount are given.

learn more about discount here: https://brainly.com/question/22313042

Step-by-step explanation:

complete the number line

Answer:

[tex]\mathbf{\dfrac{2b- 1}{2b}}[/tex]

Step-by-step explanation:

[tex]\text{The given equation is:}[/tex]

[tex]\dfrac{a}{b}+ (\dfrac{1}{4} \times \dfrac{1}{b}) = \dfrac{1}{2}[/tex]

[tex]\text{To find:}[/tex]

[tex]\dfrac{1}{2} } \div {\dfrac{a}{b} }[/tex]

[tex]\text{From the given equation:}[/tex]

[tex]\dfrac{a}{b}+ (\dfrac{1}{4b}) = \dfrac{1}{2}[/tex]

[tex]\dfrac{a}{b} = \dfrac{1}{2} - (\dfrac{1}{4b})[/tex]

[tex]\dfrac{a}{b} = \dfrac{4b- 2}{(2) (4b)}[/tex]

[tex]\dfrac{a}{b} = \dfrac{4b- 2}{8b}[/tex]

[tex]\text{Now; the value of}[/tex] [tex]\dfrac{a}{b} \div \dfrac{1}{2}[/tex]

∴

[tex]\implies \dfrac{4b- 2}{8b} \div \dfrac{1}{2}[/tex]

[tex]\implies \dfrac{4b- 2}{8b} \times \dfrac{2}{1}[/tex]

[tex]\implies \dfrac{4b- 2}{4b}[/tex]

[tex]\implies \dfrac{2b- 1}{2b}[/tex]

Answer:

120

Step-by-step explanation:

boys : girls

8 : 5

x : 75

to find x, take 75 and divide it by 5:

75 ÷ 5 = 15

(you do this to determine how you can go from 5 to 75)

take the qoutient and multiply it by 8:

15 × 8 = 180

Answer:

790 units^2

Step-by-step explanation:

Take the area of each side and add them all up. Remember each side is there twice.

Formula: SA = 2(15*5 + 15*16 + 5*16)

SA = 2(75 + 240 + 80)

SA = 2(395)

SA = 790

Answer:

4/2

Step-by-step explanation:

Answer:

Number of firefighters= 10

Step-by-step explanation:

Giving the following information:

Total budget= $600,000

Wage per firefighter= $40,000

Benefits per firefighter= $20,000

To calculate the number of firefighters that the town can employ, we need to use the following formula:

Number of firefighters= total budget / total cost per firefighter

Number of firefighters= 600,000 / (40,000 + 20,000)

Number of firefighters= 10

Answer:

Answer is A

Step-by-step explanation:

Area of the base = Area of Rectangle = Length x Width = 15x7.

If a triangular and rectangular fence is put around the dog pen and fill it with gravel. The cost of fence is $1.50 per foot, and cost of one bad of gravel is $3.50. The total amount spend is $218.5

"Rectangle is a plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square."

"A triangle is a polygon with three edges and three vertices."

The given figure contains a rectangle and a triangle.

Length of rectangle = 10 ft

Breadth of rectangle = 8 ft

Area of rectangle = length × breadth

Area of rectangle = 10 × 8 = 80 ft.

Base of triangle = 8 ft.

Height of triangle = 3 ft.

Area of triangle = [tex]\frac{1}{2}[/tex]× base × height

Area of triangle = [tex]\frac{1}{2}[/tex]×8×3 = 12 ft.

Total area of fence = Area of rectangle + Area of triangle

Total area of fence = 80 + 12 = 92 ft.

Cost of one foot of fence = $1.50

Cost of 92 foot of fence = $1.50 × 92

Cost of 92 foot of fence = $138

4 square feet is covered by = 1 bag of gravel

1 square feet is covered by = [tex]\frac{1}{4}[/tex] bag of gravel

92 square feet is covered by = [tex]\frac{1}{4}[/tex]×92 = 23 bags of gravel

Cost of 1 bag of gravel = $3.50

Cost of 23 bags of gravel = $3.50 × 23 = $80.5

Total amount spend = $138 + $80.5 = $218.5

Hence, total amount spend is $218.5

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Answer:

2.8 I think

Step-by-step explanation:

plz tell me if its wrong

Answer: Go to ur profile and choose the tab that says which questions u have asked then you can edit ur response (a little pencil icon will be on the top right corner of ur question)

Step-by-step explanation:

info above.

Answer:

$240

To find 40% of $400:

40% (or .4) • $400 = $160

**$160 is 40% of 400**

To find 40% **OFF** of $400:

$400 - $160 = $240

Answer:

Step-by-step explanation:

Negative sign is outside the parenthesis. So, each term of (4k² - 13k -12) should be multiplied by (-1)

-(4k² - 13k -12) + 5k² - 8k = 4k²*(-1) - 13k*(-1) - 12*(-1) + 5k² - 8k

                                        = -4k² + 13k + 12 +5k² - 8k

Combine like terms,

                                        = -4k² + 5k² + 13k - 8k + 12

                                       = k² + 5k + 12

Like terms are the terms with same variable with same exponent.

(-4k² ) and 5k² are like terms

13k and (-8k) are like terms

Answer: x= 132

Step-by-step explanation:

Answer:

I think the other angle would also be 132 degress since the angles are the same

Step-by-step explanation:

since the angles are the same

Answer:

2/3

Step-by-step explanation:

hope you help make me brainist

Answer:

there are 16 inches of bases

Answer:

if you multiply pi by 64^2 times 6 then it comes out to 77207.78

Step-by-step explanation:

64^2 = 4096

4096 (6) = 24576

24576 (π) ≈ 77207.78

30° = 0.52

150° = 2.68

-220° = -3.34

Answer:

Answer is D hope this helps

Step-by-step explanation: