Find the Area of the figure below, composed of a rectangle with a semicircle removed from it. Round to the nearest tenths place.

Answer:

Answer to the first part:  8a³b + 4ab

Step-by-step explanation:

Perimeter = distance around the three sides

P = 6a³b + 2a³b + 4ab

P = (6a³b + 2a³b) + 4ab           add like terms

P = 8a³b +4ab                          Simply

The value of the perimeter and area of the triangle are,

20.52 cm²  and 28.68 cm

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Now, By Using Pythagoras theorem to find the base of the triangle as;

a² = 6² - 3²

a ² =  27

a = √27

And, b² = 9² - 3²

b² =  72

b = √72

Hence, Base = √27 + √72

= 13.68

So, We get;

Area = 0.5 x 13.68 x 3

Area = 20.52 cm²  

And, The value of perimeter is,

Perimeter = 9 + 6 + 13.68

= 28.68

Thus, The value of the perimeter and area of the triangle are,

20.52 cm²  and 28.68 cm

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Answer:

3)x=-9

4)x=-2

5)x=-4

6)x=-5

7)x=-12

8)x=-11

Step-by-step explanation:

LORAN follows an hyperbolic path.

The equation of the hyperbola is: [tex]\mathbf{\frac{x^2}{2500} + \frac{y^2}{1100} = 1}[/tex]

The coordinates are given as:

[tex]\mathbf{(x,y) = (-60,0)\ (60,0)}[/tex]

The center of the hyperbola  is  

[tex]\mathbf{(h,k) = (0,0)}[/tex]

The distance from the center to the focal points is given as:

[tex]\mathbf{c = 60}[/tex]

Square both sides

[tex]\mathbf{c^2 = 3600}[/tex]

The distance from the receiver to the transmitters  is given as:

[tex]\mathbf{2a = 100}[/tex]

Divide both sides by 2

[tex]\mathbf{a = 50}[/tex]

Square both sides

[tex]\mathbf{a^2 = 2500}[/tex]

We have:

[tex]\mathbf{b^2 = c^2 - a^2}[/tex]

This gives

[tex]\mathbf{b^2 = 3600 - 2500}[/tex]

[tex]\mathbf{b^2 = 1100}[/tex]  

The equation of an hyperbola is:

[tex]\mathbf{\frac{(x - h)^2}{a^2} + \frac{(y - k)^2}{b^2} = 1}[/tex]

So, we have:

[tex]\mathbf{\frac{(x - 0)^2}{2500} + \frac{(y - 0)^2}{1100} = 1}[/tex]

[tex]\mathbf{\frac{x^2}{2500} + \frac{y^2}{1100} = 1}[/tex]

Hence, the equation of the hyperbola is: [tex]\mathbf{\frac{x^2}{2500} + \frac{y^2}{1100} = 1}[/tex]

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Answer:

x=3

Step-by-step explanation:

y = mx + b

m = (y2 - y1)/(x2 - x1)

m = (8+4)/(3-3) = 12/0 = UD

x = 3

Answer:

38 samples an hour, next time taken the first two numbers in the table and divide the one on the right by the one on the left

Answer: ~ 2.27 points per question

Step-by-step explanation:

Want points/question.

So, we do 100 points / 44 questions

~ 2.27 points per question

Answer:

37568444

hope this helps

Answer:

5.4 units

Step-by-step explanation:

5x + 2y - 4 = 0 and (15, - 21)

d = |(A*Px)+(B*Py)+C| / (sqrt A^ + B^2)

A=5, B=2, C= - 4 and Px=15, Py= -21

d =|(5*15)+(2*-21)+ -4| / (5^2 + 2^2)

= |75-42-4| / sqrt 29

= 29/sqrt 29 = 5.4

Answer:

23/133

Step-by-step explanation:

If your total is 133, that would become your denominator, your numerator is how many students of those are freshman in which this case is 23.

The total number of freshmen in the school is 23/133

The number of students in the small school is 133

23 out of the 133 students are freshmen

Therefore the fraction of freshmen in the school can be calculated by dividing 23 by 133

Fraction of freshmen is 23/133

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Answer:

35

Step-by-step explanation:

4.3 1/2 * 2 1/2 = 35/1 =35

If this is wrong i'm sorry

Answer:

A?

Step-by-step explanation:

Queremos encontrar la altura de las plantas luego de t años, dado que conocemos la altura inicial y la velocidad de crecimiento.

La ecuación de la altura es:

[tex]h(t) = 0.75*t^2 + 5*t + 12[/tex]

Con ella veremos que los arbustos miden 69cm cuando son vendidos.

Veamos como resolver esto.

h(t) es la función que modela la altura de las plantas.

Sabemos que:

[tex]\frac{dh(t)}{dt} = 1.5*t + 5[/tex]

Sí integramos, obtendremos:

[tex]h(t) = (1/2)*1.5*t^2 + 5*t + c[/tex]

donde C es una constante de integración, la cual representa la altura inicial (para t = 0) de las plantas, notar que:

[tex]h(0) = c[/tex]

Y sabemos que las plantas miden 12 cm cuando son plantadas, entonces c = 12.

La ecuación de la altura es entonces:

[tex]h(t) = 0.75*t^2 + 5*t + 12[/tex]

Esta ecuación nos da la altura en centimetros a tiempo t.

Sabemos que los arbustos se venden luego de 6 años, entonces la altura que tendran cuando son vendidos es:

[tex]h(6) = 0.75*6^2 + 5*6 + 12 = 69[/tex]

Es decir, los arbustos miden 69cm cuando son vendidos.

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$4,350  x 0.02 = $87

$360  - $87 = $273

Interest $270 no rebate

so $273 - $270 = $3

The family's rebate at the end of the year is $113.

A rebate is a form of buying discount and is an amount paid by way of reduction, return, or refund that is paid retrospectively. It is a type of sales promotion that marketers use primarily as incentives or supplements to product sales.

Given that, a credit card company offers an annual 2% cash-back rebate on all gasoline purchases.

A family spent $5,650 on gasoline purchases over the course of a year.

Now, rebate =2% of 5650

= 2/100 ×5650

= 0.02×5650

= $113

Therefore, the family's rebate at the end of the year is $113.

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Answer:

Dylan is playing anywhere from 3.5 hours to 9.5 hours of electronic games on week days.

Step-by-step explanation:

(least estimated amount of hours played each week) 13-9.5=3.5

(highest estimated amount of hours played each week)19-9.5=9.5

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<3Miss Hawaii<3

Answer:

i need 9it

Step-by-step explanation:

ndbwsjl

Answer:

6. Bobby makes more money than John

Step-by-step explanation:

John's profits

(4.2 × [tex]10^{5}[/tex]) + (3.2 × [tex]10^{6}[/tex])

= 36.2 x 10^5

= 3.62 x 10^6

Bobby's profits:

323659000 = 3.23659 x 10^8

3.23659 x 10^8 > 3.62 x 10^6

Answer:

39

Step-by-step explanation:

That is the correct answer

Answer:

39

Step-by-step explanation:

2+6 is 8, 8 divided by 4 is 2. You're equation now is 2+12 x 3+1 Then you do the multiplication first because of PEMDAS, so now the equation is 2+36+1, adding all of those together is 39 :)

Answer:

875 books

Step-by-step explanation:

1st machine 700 books/40 hours = 17.5 books/hr

2nd machine printed 2x or 35 books/hr

25 hours x 35 books/hr = 875 books

Answer:

It's the Choice A c² = 36

Answer:

40°

Step-by-step explanation:

56+84=140

180-140=40°

Answer:

The answer is 100$ worth of lemonades

Step-by-step explanation:

Because 200$ are made with the tacos and lemonade so if the profit is 100 then you divide 100 by 2, so 50+50= 100.

Answer:

=2x+4

Step-by-step explanation:

Let's simplify step-by-step.

5x+4−3x

=5x+4+−3x

Combine Like Terms:

=5x+4+−3x

=(5x+−3x)+(4)

=2x+4

Answer:

2x+4

Step-by-step explanation:

Hope fully it is correct

Answer:

=1/2*9*4.2

=18.9square cm

Answer:

Perimeter: 6 + 7.5 + 9 = 22.5

area: 18.9

Step-by-step explanation:

Answer:

hhhhhhhhhhhhhhhhhhhh

Step-by-step explanation:

I can't see picture very well but as I see first angle is

-4x+5 and second is -13x+39 ( if it isn't, correct me)

sum of this angles is 180° because they are inner angles

(-4x+5) + (-13x+39) = 180

-4x+5 -13x+39=180

-17x+44=180

-17x = 180-44

-17x= 136

x= -8

angle -4x+5 will be:

-4*-8 + 5= 32+5= 37°

Answer:

142%

Step-by-step explanation:

1.42 multiply by 100%? not quite sure

Answer:

$64188.26

Step-by-step explanation:

→ Calculate the increase in decimal multiplier

( 100 + 3 ) ÷ 100 = 1.03

→ Multiply this by the salary raised to the power of 16

40000 × ( 1.03 )¹⁶

→ Solve

$64188.26

Answer:

$806275

Step-by-step explanation:

type it exactly like that, ap*x