What is the area of this trapezoid?

Answer:

look on the graph i gave you

Step-by-step explanation:

Answer:

it is D (-1 + or - 2i square root of 2)

Step-by-step explanation:

just took test

The value of x obtained after solving the equation  x² + 2x + 9 = 0 will be x = -1 ±2i √(2)(x equals negative 1 plus or minus 2 I square root of 2).Option D is correct.

Any equation of the form ax²+bx+c=0  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]

it is given that,

x² + 2x + 9 = 0

Rearrange the equation as

x² + 2x  = - 9

Add 1 on both sides of the equation,

x² + 2x +1 = - 9 +1

x² + 2x +1 = - 8

(x+1)² = -8

Taking square root,

(x+1) = √ -8

Subtract 1 from both sides,

x+1-1 = -1 ±√(-8)

x = -1 ±√(-8)

√(-8) can be written as,

√(-8) = 2i√2

Substitute the values,

x = -1 ±2i sqrt(2)

Thus, the value of x obtained after solving the equation  x² + 2x + 9 = 0 will be x = -1 ±2i √(2)(x equals negative 1 plus or minus 2 I square root of 2).Option D is correct.

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Answer:

its prey

Step-by-step explanation:

An owl is a predator to a mouse, they attack mice and eat them so the owl is the predator and the mouse is the prey. There for an owl is related to a mouse in the same way that a predator is related to its prey

Yo sup??

the answer to this question is prey

as an owl eats a mouse similarly a predator eats is prey

Hope this helps

Answer:

B.(2,4)

Step-by-step explanation:

The equation for a circle is written as

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

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

(x-2)^2+(y-4)^2=9.

Rewriting this equation

(x-2)^2+(y-4)^2=3^2

The center is at (2,4)

Answer:

$1440

Step-by-step explanation:

First, find the unit rate by dividing 300 by 5, which equals 60. So, Kendra earns $60 in one day. Then, multiply 60 by 24, which equals 1440. So, Kendra makes $1440 in 24 days. Hope this helped!

Answer:1440 dollars earned In 24 hours

Step-by-step explanation: first divide 300 by 5 to get 60 then multiply 60 by 24 to get 1440

Answer:

40

Step-by-step explanation:

0.13 ⟌5.2 (We can move 0.13 over two spots)

13⟌520 (We move the decimal two spots because of previous)

We have

    ₄ ₀

13⟌520

  - 52

______

      0 0

       - 0

   ______

          0

So 40 is our final answer.

The value of  (5.2/0.13) is 40 obtained by removing the decimals.

Addition is also known as the sum, subtraction is also known as the difference, multiplication is also known as the product, and division is also known as the factor.

Given, 5.2 is divided by 0.13, which is (5.2/0.13).

Now we can multiply both the numerator and the denominator by 100.

∴ (5.2/0.13)×(100/100).

= 520/13.

= 40.

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Answer:

8 oz. per cup

Step-by-step explanation:

The actual height of building is 1800 feet.

Step-by-step explanation:

Given,

Height of building in model = 3 inches

Scale used by engineer;

1 inch = 600 feet

Therefore;

Actual height of building = Height in model * Scale used

Actual height of building = 3 * 600

Actual height of building = 1800 feet

The actual height of building is 1800 feet.

Answer:

[tex]\sqrt[5]{15}[/tex]

Step-by-step explanation:

A number to 1/5 is the [tex]\sqrt[5]{n}[/tex]

A number to 1/3 is the [tex]\sqrt[3]{n}[/tex]

So, since the number is 15 to the 1/5, it is [tex]\sqrt[5]{15}[/tex]

Answer:  [tex]\sqrt[5]{15}[/tex]

Answer:

[tex]15^{\frac{1}{5} } = \sqrt[5]{15}[/tex]

Step-by-step explanation:

recall that

[tex]a^{\frac{1}{b} } = \sqrt[b]{a}[/tex]

if we apply this to our case,

[tex]15^{\frac{1}{5} } = \sqrt[5]{15}[/tex]

Answer: You will need $4,160 for the loan.

The money that will need for the loan is $4160.

A down payment is a sum of money the buyer pays at the outset of a large transactions. The down payment represents a portion of the total purchase price, and the buyer will often take out a loan to finance the remainder.

For the given situation,

The total amount wanted to spend = $5000

Down payment = $500

Tax amount = $340

Money that will need for the loan can be calculated as

⇒ [tex]5000-(500+340)[/tex]

⇒ [tex]5000-840[/tex]

⇒ [tex]4160[/tex]

Hence we can conclude that the money that will need for the loan is $4160.

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Answer:

16. The answer is 16.5

17. The answer is Sin33.1°

18. The answer is 38.2

Step-by-step explanation:

In rounding up figures, number 1 to 4 is rounded up to 0 while numbers 5 to 9 is rounded up to 1.

16. Two sides in the right angle triangle are involved, the opposite side and the adjacent side, hence we use the tangent.

Tan36°=12/x

Cross multiply

x(tan 36°)= 12

Divide both sides by tan36°

x= 12/tan36°

16.516583

Rounded to the nearest tenth, we have 1 as the digit hundredth, which will be rounded up to 0.

Added to the tenth digit, still remains 5.

Answer therefore is 16.5

17. Two affected sides here is the opposite side and hypothenus sid, hence we use the sine.

sin x=12/22

= 33.055°

The digit hundredth is 5, which is rounded up to 1. Added to the tenth digit, we have 0+1=1

Answer is 33.1

18. Two affected sides are the opposite side and hypothenus side, we also use the sine.

Sin58°=x/45

Make x the subject

x=45/sin58°

38.162

6 is the digit hundredth, and it is rounded up to 1. Adding 1 to 1, the tenth digit in the figure above, we have our answer as

38.2

Answer:

The formula for area of a circle is : A = PI x r^2

A) find the are of the two circles, subtract the two to find the area of the side walk:

Outside circle: A = PI x 10^2

Area = 100PI

Inner circle: A = PI x 8^2

Area = 64PI

Area of sidewalk:

100PI - 64 PI = 36PI

B) replace PI with 3.14:

Area = 36 x 3.14 = 113.04 square meters.

Step-by-step explanation:

Hope this helped.

Answer:

m∠3=80 degrees

m∠3=m∠1

Step-by-step explanation:

When two lines intersect, the opposite angles are equal. They are called vertical angles. That means for this problem:

m∠1 = m∠3           *Last option is true

m∠2 = 100°           *Third option is false

A straight line is always 180°. When it is cut up, the sum of the angles is 180°. They are called suppementary angles. These are supplementary:

100° + m∠3      →    m∠3 = 80°           *Second option is true

m∠1 + 100°       →    m∠1 = 80°            *First option is false

m∠1 + m∠2      →    One or the other is 100° and 80°

m∠2 + m∠3      →   One or the other is 100° and 80°

Answer:0.25

Step-by-step explanation:

11/44 is equal to 1/4

1/4 is 0.25

Answer:

$15.40

Step-by-step explanation:

1.30 × 2 = 2.60

0.75 × 2 = 1.50

2.60 + 1.50 + 0.50 = 4.60

20 - 4.60 = 15.40

Answer:

1800

Step-by-step explanation:

The sum to n terms of an arithmetic sequence is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = - 27 and d = 6, thus

[tex]S_{30}[/tex] = [tex]\frac{30}{2}[/tex] [ (2 × - 27) + (29 × 6) ]

     = 15( - 54 + 174)

     = 15(120)

     = 1800

The sum of the first 30 terms of the arithmetic sequence, is 1800.

In an arithmetic sequence, the sum of the first n terms can be calculated using the formula:

Sum = n/2 × (2a + (n-1)d), where:

Given:

Plugging in these values, we get:

Sum = 30/2 × (2(-27) + (30-1) × 6)

Calculating step-by-step:

Therefore, the sum of the first 30 terms of the arithmetic sequence is 1800.

The number of feet the shoreline is eroding per year is 1 ⅓ feet.

How many feet are eroding per year?

Rate of shoreline eroding per 3 months = 1/3 foot

Number of 3 months in a year = 12 months / 3 months

= 4

Number of feets of the shoreline eroding per year = Rate of shoreline eroding per 3 months × Number of 3 months in a year

= 1/3 × 4

= 4/3 feet per year

Therefore, the shoreline erodes 1⅓ feet per year

Answer:

-16z + 24

Step-by-step explanation:

Apply the Distributive Property of Multiplication:

-8(2z-3) = -16z + 24

Answer:

-27

Step-by-step explanation:

-8 ( 2z - 3 ) = -16z - 3

distribute -8

-16z + 24 = -16z - 3

add 16z on right side

z + 24 = - 3

subtract 24 on left side

z = -27

Hopefully this helps :)

Answer:

x plus 5 equals 2 times brackets 7 plus x

Step-by-step explanation:

Answer:

B-6

Step-by-step explanation:

If (B) represents Bob's time, six minutes less than Bob's time is B-6=T where (T) represents the time six minutes less than Bob's time.

The phrase 'six minutes less than Bob's time' can be translated into the algebraic expression 'B - 6', where 'B' represents Bob's time.

The given phrase 'six minutes less than Bob's time' can be written as an algebraic expression. Algebraic expressions are mathematical phrases containing numbers, variables (like 'Bob's time'), and operations.  In this case, we can symbolize 'Bob’s time' as a variable, let’s choose 'B'. Then 'six minutes less than Bob's time' translates to 'B - 6' in an algebraic expression. That’s because 'less than' implies subtraction and it always means you subtract from the number or variable stated after the expression, in this case, 'Bob's time' or 'B'.

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Answer:

-6/16

Step-by-step explanation:

Step 1:  Find equivalent to -3/8

(-3*2) / (8*2)

-6/16

Answer:  -6/16

Answer:

-0.375

Step-by-step explanation:

If you have a scientific calculator just plug in [tex]-\frac{3}{8}[/tex] then switch it to decimal form

[tex]-\frac{3}{8} = -0.375[/tex]

If you need help going from fraction to decimal form all you need to do is divide -3 by 8 = -0.375

Answer:

12x^5+27x^4-24x^3+12x^2:

Step-by-step explanation:

hope it helps

Answer:

$9.00

Step-by-step explanation:

                                     ~~~~Hey there~~~~

1. Since it was 15% discount, that means you have to solve 15% of 60, which is equivalent to 0.15 x 60.

2. Since the product of 0.15 and 60 is 9, then 9 is your answer.

3. Your final answer is $9.00

Hope this helped!

~delightedsunrise8

Answer:

56

Step-by-step explanation:

You would first do 60 divide by 15 and get 4. Then you subtract 4 from 60 and get 56 as your answer.

The mean weight of the containers on the ship is found by adding the total weight of all the containers (270 tons) and dividing by the total number of containers (60), giving a mean of 4.5 tons per container.

In this problem, we are asked to find the mean weight of the containers on a ship. The mean is the average value of a set of numbers, found by adding all the numbers together and then dividing by the quantity of numbers.

First, let's compute the total weight of all the containers. The weight of the 30 small containers are 30 containers * 3 tons each = 90 tons. The weight of the 20 medium containers are 20 containers * 5 tons each =  100 tons. The weight of the 10 large containers are 10 containers * 8 tons each = 80 tons.

So, the total weight of all the containers is 90 tons + 100 tons + 80 tons = 270 tons. And the total number of containers is 30 + 20 + 10 = 60 containers.

So, the mean weight of the containers is 270 tons Total Weight / 60 = 4.5 tons/container. So, the mean weight of the containers on the ship is 4.5 tons.

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Answer:

As the value of x increases, the value of f(x) will eventually exceed the value of g(x) is the correct option.

Step-by-step explanation:

A function, f, passes through the points (1,1), (2,7) and (3,25).

The equation of the function 'f' can be written as:

The f(x) is obtained by:

                                      [tex]f\left(x\right)=3f\left(x-1_\right)+4[/tex]

                                      [tex]f\left(4\right)=3f\left(3\right)+4=\left(25\times 3\right)+4=75+4=79[/tex]

A function, g, passes through the points (1,36), (2,43) and (3,50).

The g(x) is obtained by:

                                       [tex]g\left(x\right)=g\left(x-1\right)+7[/tex]

                                  [tex]g\left(4\right)=g\left(4-1\right)+7=g\left(3\right)+7=50+7=57[/tex]

So, value of f(x) at x = 4 exceeds the value of g(x) at x = 4.

Therefore, as the value of x increases, the value of f(x) will eventually exceed the value of g(x) is the correct option.                                                                                                                                                          

Answer:

72,220

Step-by-step explanation:

23,000 • 3.14 =

If the vehicle is traveling at 1,000 revolutions per minute, with the diameter of the wheels being 23 inches, the vehicle would be moving at 72,220 inches per minute.

72220.000512 = 68.390152 = 68 MPH

Answer:

x = 15

Step-by-step explanation:

Step 1:  Make an expression

4/6 = 10/x

Step 2:  Cross multiply

4/6 = 10/x

4x = 60

Step 3:  Divide both sides by 4

4x / 4 = 60 / 4

x = 15

Answer:  x = 15

Answer:

15

Step-by-step explanation:

4 is to 6 as 10 is to what

Represent the unknown number as x and write as a ratio

4:6 = 10:x

Write as fractions

4/6 = 10/x

Cross-multiply

4x = 60

Divide both sides of the equation by 4

x = 15

15

Hope this helps :)

Answer:

325

Step-by-step explanation:

h + 74 = 724

h = 724 - 74

h = 650.

h = 325.

Solution:

The decreasing function is given as:

[tex]y = a(1-r)^t[/tex]

Where,

y is future value

a is initial value

r is decreasing rate

t is number of years

From given,

a = 4800

t = 5

[tex]r = 8.25 \% = \frac{8.25}{100} = 0.0825[/tex]

Therefore,

[tex]y = 4800(1 - 0.0825)^5\\\\y = 4800 \times 0.9175^5\\\\y = 4800 \times 0.6501\\\\y = 3120.841[/tex]

Thus the area after 5 years is 3120.841 square kilometer

Solution:

Given is:

[tex]x^2 + 14x + 40[/tex]

Factor the above polynomial

From given,

[tex]x^2 + 14x + 40[/tex]

[tex]Split\ the\ middle\ term\\\\x^2 + 4x + 10x + 40\\\\Break\:the\:expression\:into\:groups\\\\\left(x^2+4x\right)+\left(10x+40\right)[/tex]

[tex]\mathrm{Factor\:out\:}x\mathrm{\:from\:}x^2+4x\mathrm{:\quad }x\left(x+4\right)\\\\x(x + 4) + (10x + 40)\\\\\mathrm{Factor\:out\:}10\mathrm{\:from\:}10x+40\mathrm{:\quad }10\left(x+4\right)\\\\x(x + 4) + 10(x + 4)\\\\\mathrm{Factor\:out\:common\:term\:}x+4\\\\\left(x+4\right)\left(x+10\right)[/tex]

Thus, the binomials factor of given is (x + 4) and (x + 10)