Determine the value of x in the figure. answers: A) x = 90 B) x = 40 C) x = 45 D) x = 135

Answer:

241.5 ft^2

Step-by-step explanation:

First, find the area of the deck. A = LW.  L = 20, W = 16.

20 x 16 = 320.

Now that we have found the area of the deck, let's find the area of the garden. A = [tex]r^{2} \pi[/tex].   r = 5.  

A = (pi)5^2

A = 25(pi)       pi =  3.14

A = 78.5

Since the deck will not cover the garden, we must subtract the area of the garden from the total area of the deck.

320 - 78.5 = 241.5

Answer:

0.25 > 2/9

Step-by-step explanation:

When you change 2/9 into a decimal, you get 0.22222222...

Therefor, 0.25 is greater than 2/9

Answer:

The center is (-1,0) and the radius is 10

Step-by-step explanation:

We can write the equation of a circle as

(x-h)^2 + (y-k)^2 = r^2

where the center is (h,k) and the radius is r

(x+1)^2+y^2=100

(x - -1)^2+(y-0)^2=10^2

The center is (-1,0) and the radius is 10

Answer:

radius = 10

center = (- 1, 0)

Step-by-step explanation:

eqn. of the circle = (x - h)^2 + (y - k)^2 = r^2

= (x + 1)^2 + y^2 = 100

(x - (-1))^2 + (y - 0)^2 =10^2

The center is (- 1, 0) and the radius is 10

Hope this helps!

Step-by-step explanation:

it's on the -0.8 number...

Answer:-0.8

Step-by-step explanation:count from -1 up to where B is

Answer:

2nd option is the correct answer.

Step-by-step explanation:

[tex] \because \bigg(x + \frac{b}{2a}\bigg) ^2 = \frac{-4ac+b^2}{4a^2}\\\\

\therefore \bigg(x + \frac{b}{2a}\bigg) ^2 = \frac{b^2-4ac}{4a^2}\\\\

\therefore \bigg(x + \frac{b}{2a}\bigg) = \pm \sqrt {\frac{b^2-4ac}{4a^2}} \\\\

\purple {\boxed {\bold {\therefore x + \frac{b}{2a}= \frac{\pm\sqrt{b^2-4ac}}{2a}}}} \\\\[/tex]

Answer:

B

Step-by-step explanation:

Answer:

2.8

Step-by-step explanation:

32cos 85≈2.8

Answer:

[tex]a_{1}=6[/tex]

Step-by-step explanation:

It is sum of arithmetic progression

[tex]$S_{20}=\frac{20}{2} [2a_{1}+(20-1)\cdot 4]$[/tex]

[tex]$880=10[2a_{1}+(19)\cdot 4]$[/tex]

[tex]$880=10[2a_{1}+76]$[/tex]

[tex]880=20a_{1}+760[/tex]

[tex]120=20a_{1}[/tex]

[tex]a_{1}=6[/tex]

Answer:

35 adult shirts were sold

Step-by-step explanation:

10y+15a=2375

y+a=220

y=220-a

10(220-a)+15a=2375

2200-10a+15a=2375

2200+5a=2375

5a=175

a=35

35 adult shirts were sold.

Answer:

26.25 in³, y = 15x

Step-by-step explanation:

2. Volume is multiplying the length, width, and height of a rectangular prism together.

Therefore, the volume of this rectangular prism is 6 * 1.25 * 3.5

= 26.25 in³

3. The equation that represents the function table will describe the relationship between x and y. As we can see, for every x value, the y value grows by 15. Therefore:

y = 15x

Hope this helps :)

If the first diver was already at -18 feet and then dived down an additional 30 feet, we add the two negative numbers together. The first diver is at -48 feet while the second diver is at -27 feet.

Answer:

Diver A is 21 ft below Diver B

Step-by-step explanation:

Diver A

-18 then goes down 30

-18 - 30 = -48

Diver B is at -27

Relationship

-48 - -27

-48+27 = -21

Diver A is 21 ft below Diver B

Answer:

Cone that has 3 times the height, but the same base

Step-by-step explanation:

The formula for cone's volume is 1/3bh while cylinder is just bh

Answer:

B

Step-by-step explanation:

> = greater than

= this means equal to

< = less than

[tex]\frac{8}{13} =\frac{8}{13}[/tex]

Answer:

(B)Mr Smith drove 3 miles per day  more than Ms. Johnson.

(D) A reasonable prediction is that both  salespeople will drive about 110

miles each day.

(F)If both salespeople work 250 days  this year, they will drive about

27,500 miles for this year.

Step-by-step explanation:

Given the miles driven by the two salesman.

Mr Smith

128 , 150 , 118 , 85 , 166 and 25

[tex]\text{Average miles per day}=\dfrac{128+150+118+85+166+25}{6}=\dfrac{672}{6}\\=112$ miles per day[/tex]

Ms. Johnson

115,97,86,48,181 and 127

[tex]\text{Average miles per day}=\dfrac{115+97+86+48+181+127}{6}=\dfrac{654}{6}\\=109$ miles per day[/tex]

Therefore:

(B)Mr Smith drove 3 miles per day  more than Ms. Johnson.

(D) A reasonable prediction is that both  salespeople will drive about 110

miles each day.

[tex]112 \approx 110$ miles per day\\109 \approx 110$ miles per day[/tex]

(F)If both salespeople work 250 days  this year, they will drive about

27,500 miles for this year.

110 X 250=27,500 miles

Answer:

$43,200

Step-by-step explanation:

25% is 1/4 of the total dollar value, to find the answer we need to multiply 10,800 by 4 (it is 1/4, and the answer will be equivalent to the 4/4)

10,800 * 4 = 43,200

The total dollar value of the art that he sells is 43200 dollars.

Percentage is the value per hundredth.We can also convert percentages into decimals by dividing he percentage value by 100.

According to the given question Pierre, an art dealer, earns 25% commission of the dollar value of the art pieces that he sells at the Bizzell Gallery. Pierre earns $10,800.

∴ 25% of the total value is 10800 dollars.

Assuming total value to be x dollars.

So, (25/100)x = 10800

(1/4)x = 10800

x = 10800 × 4

x = 43200 dollars.

learn more about percentage here :

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Answer:

lll

Step-by-step explanation:

hope it's helpful

Most welcome

Answer: -4

Step-by-step explanation:

Answer:

$6.88

Step-by-step explanation:

$5.99(12 months) = $71.88 per year

$71.88 - $65 = $6.88

Answer:

Step-by-step explanation:

First you have to make it into a fraction, then multiply it by 100 :

Q1.

[tex]0.47 = \frac{47}{100} [/tex]

[tex] \frac{47}{100} \times 100 = 47[/tex]

Q2.

[tex]0.98 = \frac{98}{100} [/tex]

[tex] \frac{98}{100} \times 100 = 98[/tex]

Q3.

[tex]0.25 = \frac{25}{100} [/tex]

[tex] \frac{25}{100} \times 100 = 25[/tex]

Answer:

3/2 x +3 = y

Step-by-step explanation:

−6x = 12 − 4y

Subtract 12 from both side

−6x-12 = 12 − 4y-12

-6x -12 = -4y

Divide both side by -4

(-6x -12)/-4 = -4y/-4

-6x/-4  -12/-4  = y

3/2 x +3 = y

Answer:

y = 1.5x + 3

Step-by-step explanation:

= - 6x - 12 = - 4y

(- 6x - 12)/- 4 = - 4y/- 4

1.5x + 3 = y

Hope this helps!

Answer:

Diameter of the earth is 7930.25 miles

Step-by-step explanation:

To find the diameter of the earth, we will follow the steps below:

first write the formula of the circumference

c = 2πr ---------------------------------------------------------------------------------------------(1)

where r is the radius  and c is the circumference

from the diagram below, circumference is given to be 24901 miles

π = 3.14

substitute the value of c and π  into equation (1) and solve for r

c = 2πr

24901 = 2 × 3.14× r

24901 = 6.28 r

Divide both-side pf the equation by 6.28

24901/6.28 = 6.28 r/6.28

3965.1274≈ r to the nearest tenth

r≈ 3965.1274 miles

But diameter = 2r

diameter = 2 × 3965.1274

diameter ≈ 7930.25  to the nearest tenth

Diameter of the earth is 7930.25 miles

Answer:

Step-by-step explanation:

The earth is spherical in shape. The formula for calculating the circumference of a sphere is πd where d is thee diameter of the earth.

C = πd

Given C = 24, 901miles and π = 3.14, on substituting,

24, 901 = 3.14d

d = 24,901/3.14

d = 7930.255

d ≈ 7930.3miles to the nearest tenth

Answer:

Σ-47-15)

Step-by-step explanation:

Option D is correct, the summation formula that represents the series is Σ(n-4) for n=1 to 4.

Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

A series is, roughly speaking, the operation of adding infinitely many quantities, one after the other, to a given starting quantity.

The series can be written as:

13 + 9 + 5 + 1 = (4×3 + 1) + (4×2 + 1) + (4×1 + 1) + (4×0 + 1)

= (4×(3-1) + 1) + (4×(2-1) + 1) + (4×(1-1) + 1) + (4×(0-1) + 1)

= Σ(n-4) from n=1 to 4

Therefore, the summation formula that represents the series is Σ(n-4).

To learn more on Sequence click:

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Answer:

$178,000

Step-by-step explanation:

The calculation of X and Y is shown below:-

Before that we need to do the following calculations

[tex]Depreciation\ in \ 1\ year = 45\%\times Initial\ investment[/tex]

[tex]= 0.45\times\$400,000[/tex]

= $180,000

[tex]Depreciation\ in \ 4\ year = 6\%\times Initial\ investment[/tex]

[tex]= 0.06\times\$400,000[/tex]

= $24,000

Now, Operating cash flow of X in Year 1

[tex]X = (Revenue - Cost)\times (1 - Tax \ rate) + Depreciation\times tax \ rate[/tex]

[tex]X = (\$628,000 - \$552,000)\times (1 - 0.50) + \$180,000\times 0.50[/tex]

= $38,000 + $90,000

= $128,000

and Operating cash flow of Y in Year 4

[tex]Y = (Revenue - Cost)\times (1 - Tax \ rate) + Depreciation\times tax \ rate[/tex]

[tex]Y = (\$628,000 - \$552,000)\times (1 - 0.50) + \$24,000\times 0.50[/tex]

= $38,000 + $12,000

= $50,000

[tex]X + Y = Operating\ cash\ flow\ for\ the\ year\ 1 + Operating\ cash\ flow\ for\ the\ year\ 2[/tex]

= $128,000 + $50,000

= $178,000

hence, the X + Y is $178,000

Answer:

[tex]62[/tex]

Step-by-step explanation:

[tex]2x^2+15x-1[/tex]

[tex]2(3)^2+15(3)-1[/tex]

[tex]2(9)+15(3)-1[/tex]

[tex]18+45-1[/tex]

[tex]=62[/tex]

[tex]answer \\ = 62 \\ solution \\ x = 3 \\ 2 {x}^{2} + 15x - 1 \\ = 2 {(3)}^{2} + 15 \times 3 - 1 \\ = 2 \times 9 + 45 - 1 \\ = 18 + 45 - 1 \\ = 63 - 1 \\ = 62 \\ hope \: it \: helps[/tex]

Answer:

11.5214512633

Step-by-step explanation:

Add up all the sides, using Pythagorean theorem for each side by finding the difference in horizontal and vertical coordinates.

CD: [tex]\sqrt{\left(2-\left(-1\right)\right)^{2}+\left(\left(-1\right)-\left(-2\right)^{2}\right)}[/tex] = 2

CF: [tex]\sqrt{\left(1-2\right)^{2}+\left(1-\left(-1\right)\right)^{2}}[/tex] = 2.2360679775

EF: [tex]\sqrt{\left(2-1\right)^{2}+\left(-2-1\right)^{2}}[/tex] = 3.16227766017

DE: [tex]\sqrt{\left(2-\left(-2\right)\right)^{2}+\left(\left(-2\right)-\left(-1\right)\right)^{2}}[/tex] = 4.12310562562

add them all up 11.5214512633

Answer:

7)x=20 8)x=19

Step-by-step explanation:

7)4x-40=2x

4x-2x=40

2x=40

x=20

8)

2x+19=3x

3x-2x=19

x=19

Answer: I hope it helps

Step-by-step explanation:

[tex]y \alpha x\\y= kx (1)\\Make=k-subject-of-the-formula\\\frac{y}{x} =\frac{kx}{x} \\\\\\[/tex]

[tex]k = \frac{y}{x}. \\when-y =3, x= 7 \\k = \frac{3}{7} \\Put - k- = 3/7 -in eq - 1\\y = 3/7x = F \\[/tex]

[tex](4n+3n^2+2)-(n-6n^2+1)\\4n +3n^2+2-n+6n^2-1\\\\3n^2+6n^2+4n-n+2-1\\9n^2+3n+1[/tex]

y = 2x-4

when x= 0

y = 2(0)-4

y =-4

y = 2x - 4

when x = 1

y = 2(1) -4

y = 2-4

y = 2

and so on....

A - Negative - the more slices eaten , the fewer there are

[tex]f(x)= 2x^2 +x-12\\f(3) = 2(3)^2+3-12\\f(3) = 2*9+3-12\\f(3) = 18+3-12\\f (3) = 9[/tex]

Answer:

14°

Step-by-step explanation:

Because 76° and x are complementary (meaning they add up to 90°), 76 + x = 90 which means x = 14°.

Answer: x ≤ 16    y≥ 16    

Step-by-step explanation:

-150x ≥ -2400   divide both sides by -150 and the sign will flip because you                                                         x≤16           diving by a negative number

-336 ≥ -21y

y ≥ 16    

Answer:

x ≤ 16    y≥ 16

Step-by-step explanation:

Hope this helps :D

Answer:

Let's get all of the z terms on one side. When we do so we get tz + cz - 6z = -83. We can factor the left side as z(t + c - 6) = -83 so our answer is z = -83(t + c - 6).

Answer:

Z= 83

——————

(-c + 6)

Step-by-step explanation:

Answer: Even

Step-by-step explanation:

This graph has been translated up by one unit but is still symmetrical about the y axis.

A simple proof would be to check if  f(x) = f(-x). If it does, then it is even.

To check for an odd function, check if f(-x) = -f(x). If it does, then it is even.

To check for neither, f(-x) will not equal -f(x)