the diagram shows the dimensions of the pool cover for a hotel pool. find the area of the pool cover

Answer:

(-3, -6)

explanation:

When reflected across x axis, the x value will be same and y value will become negative.

original coordinates of D: (-3, 6)

ARITHMETIC SEQUENCE

an = a1 + (n-1)d

.

The formula above is used to get the nth term of an arithmetic sequence, but we can also use it to know the number of terms (n).

.

Given:

a1 = 4

d = a2 - a1 = 1 - 4 = -3

an = -29

n = ?

.

Solution:

an = a1 + (n-1)d

-29 = 4 + (n-1)-3

-29 = 4 + (-3n + 3)

-29 = -3n + 7

-29 - 7 = -3n

-36 = -3n

-36/-3 = -3n/-3

12 = n

.

Therefore, -29 is the 12th term of the arithmetic sequence 4, 1, -2, -5, ...

104(th) term in sequence -4, -1, 2, 5 would be 305.

A function is a relation between a dependent and independent variable.

Mathematically, we can write → y = f(x) = ax + b.

Given is to find 104(th) term in sequence -4, -1, 2, 5.

The sequence given is a arithmetic progression. We can write the function for nth term as -

a{n} = a + (n - 1)d

a{104) = - 4 + 103 x 3

a{104} = - 4 + 309

a{104} = 305

Therefore, 104(th) term in sequence -4, -1, 2, 5 would be 305.

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Check the picture below.

The perimeter of the given triangle is 73.8 inches.

The perimeter of a triangle is defined as the addition of the lengths of the triangle's three sides.

The length of the altitude is 25 inches, and the length of the base is 20 inches.

Using the Pythagoras theorem, to find the hypotenuse of the triangle :

Hypotenus = √(25² + (20/2)²)

Hypotenus = √(625+ 100) = √725= 26.9  inches

The perimeter of a triangle :

(base + side 1 + side 2) = (20 + 26.9 + 26.9 ) = 73.8 inches

Therefore, the perimeter of the triangle is 73.8 inches.

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Answer:

The no. of boys = 20

The no. of girls = 12

Step-by-step explanation:

Ratio of no. of boys to girls = 5 : 3

[5 multiplied with something, and 3 multiplied with something, added together makes 32.Thus, that something = x]

5x + 3x = 32

= 8x = 32

=x = 32÷8 = 4

5x = 5 x 4 = 20

3x = 3 x 4 = 12

boys : girls = 5 : 3 (total ratio = 8)

boys = 5/8 x 32 = 20

girls = 3/8 x 32 = 12

Answer:

Area= [tex]\frac{1}{2}[/tex]bh

Step-by-step explanation:

so, A=  [tex]\frac{1}{2}[/tex](21)(3)= 31.5 [tex]m^{2}[/tex]

Answer:

Area = 31.5

Step-by-step explanation:

[tex]A=\frac{H_bb}{2}=\frac{3*21}{2}=31.5[/tex]

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Answer:

2) Difference of two squares

3) Perfect square trinomial

Step-by-step explanation:

Hope it helps you in your learning process.

Answer:

Let's understand the solution in detail.

Explanation:

Given: 5x = 3y

We can rearrange it as y = 5x / 3

Hence, we see that y ∝ x, and the equation is of the form y = kx, where k is the proportionality constant. This denotes that y varies directly with x.

Here k = 5 / 3.

Hence, the equation represents a direct variation, and the constant of variation is k = 5 / 3.

Answer:

  40.4

Step-by-step explanation:

We don't have access to your drawing tools, so we have used our own. The attachment shows the triangle and the angle.

  ∠ABC ≈ 40.4°

Answer:

2x³+17x²+25x-50

Step-by-step explanation:

Standard Form: All your numbers and variables in order of the highest exponent.

(2x²+7x-10)(x+5)

We want to distribute x and 5 to every single value.

2x³+7x²-10x+10x²+35x-50

Simplify.

2x³+17x²+25x-50

This is standard form because the highest values are on the left (x³ is larger than x²).

Answer:

OPTION B

Step-by-step explanation:

so to fine the slope of the line of company R

You have to choose any two points from the table. example: (1,100) (2,125)

Slope=Y-Y/X-X=125-100/21-1=25/1=25

y=b+25x

you can see that company R charges 5$ less than Company P for each x.

Answer:

4

Step-by-step explanation:

area of circle= pi*r^2

50.24=3.14*x^2

50.24/3.14=16

50.24/3.14= x^2

16=x^2

4=x

Answer:

$2455.2

Step-by-step explanation:

40 rows * 22 seats per row = 880 seats total
880 * $2.79 = $2,455.20

Answer:

[tex]\displaystyle \frac{3\sqrt{230}}{5}[/tex]

Step-by-step explanation:

Use the Pythagorean Theorem:

[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ 9,7^2 + b^2 = 13,3^2; \sqrt{82,8} = \sqrt{b^2} \\ \\ \frac{3\sqrt{230}}{5}\:[or\:9,0994505329...] = b[/tex]

So, you have this:

[tex]\displaystyle 9,1 ≈ b[/tex]

I am joyous to assist you at any time.

Answer:

(5, 4)

Step-by-step explanation:

Use the formula at the top of the page:

(x, y)⇒(y, -x)

So, in this case, x = -4 and y = 5.

Use the formula, and you get:

(-4, 5)⇒(5, 4) ------ A negative number with a minus in front of it becomes a positive number.

The probability of the fair spinner landing only once on yellow in two spins is 0.375. Option C is the correct option.

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

As, the probability of an event can not be more than the number 1.

Thus, the probability of failure of a event is equal to the difference of the 1 to the success of the event. As,

The data in the theoretical probability table for the fair spinner having 4 different color is listed below.

Yellow         Frequency

   0                 9

   1                 6

   2                 1

For the 4 different color (red, green, blue, yellow) and rotating the spinner two times, there is total 16 outcomes as,

{RR, BB, YY, GG, RB, BR, RY, YR, RG, GR, BY, YB, BG, GB, YG, GY}

Total number of Y appear probability at one time in the table is 6. Thus the probability of the fair spinner landing only once on yellow in two spins is,

[tex]P=\dfrac{6}{16}\\P=0.375[/tex]

Hence, the probability of the fair spinner landing only once on yellow in two spins is 0.375. Option C is the correct option.

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Answer:

17792.3792

Step-by-step explanation:

:))))))

The value of PM is the circle is about 11.66 cm

Pythagoras theorem is used to show the relationship between the sides of a right angled triangle.

From the diagram:

PM = PQ/2 = 20 / 2 = 10 cm

Hence, using Pythagoras:

PL² = LM² + MP²

PL² = 6² + 10²

PL = 11.66 cm

The value of PM is the circle is about 11.66 cm

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b, i think is b and im to crazy to right the solution :))

Answer:

C

Step-by-step explanation:

150/5 would equate to 30, which would mean that the proportional relationship between the hours (x) and the amount of money per hour (y,30) would be represented as 30x

JK=LM (line from any point of circumference to another pointer of circumference)

Answer:

2:00 PM

Step-by-step explanation:

time per student = 60 mins = 1 hr

number of student = 4

time of break = 10 mins

hr : mins

start: 9:30 AM

student 1: 1

break: 10

student 2: 1

break: 10

student 3: 1

break: 10

student 4: 1

[tex] - - - - - - [/tex]

13:60 --> 1 hr

= 14:00

2:00 PM (ANS)

Answer:

[tex] A = \dfrac{512 \pi}{3}~ft^2 [/tex]

Step-by-step explanation:

area of sector, A:

[tex]A = \dfrac{n}{360^\circ}\pi r^2[/tex]

n = measure of the central angle of the sector in degrees

r = radius of circle

Here we have n = 240°, and r = 16 ft.

[tex]A = \dfrac{240^\circ}{360^\circ}\pi \times (16~ft)^2[/tex]

[tex] A = \dfrac{2}{3}\pi \times 256~ft^2 [/tex]

[tex] A = \dfrac{512 \pi}{3}~ft^2 [/tex]

Answer:

[tex]( x + 15)(x-15)[/tex]

Step-by-step explanation:

[tex]x^2-225[/tex]

[tex]\mathrm{Rewrite\:}225\mathrm{\:as\:}15^2[/tex]

[tex]=x^2-15^2[/tex]

[tex]\mathrm{Apply\:Difference\:of\:Two\:Squares\:Formula:\:}x^2-y^2=\left(x+y\right)\left(x-y\right)[/tex]

[tex]x^2-15^2=\left(x+15\right)\left(x-15\right)[/tex]

[tex]\mathrm{\left(x+15\right)\left(x-15\right)}[/tex]

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Answer:

Carla: 65 * 0.20 = $13 Joe: 80 * 0.18 = $14.40 Joe received higher tips :) hope this helps

Answer:

b. 43.96 yds

Step-by-step explanation:

Circumference of a circle =  π × 2 × radius

Take π as 3.14

3.14 × 2 × 7 = 43.96

Answer:

[tex]y = \frac{1}{5}x + 5[/tex]

Step-by-step explanation:

20y - 4x = 100

20y= 4x + 100

Divide everything by 20

20y/20 = y

4x/20 = 1/5x

100/20 = 5

y = 1/5x + 5 (that's the answer)

[tex]20y - 4x = 100\\20y = 4x + 100\\\frac{20y}{20} = \frac{4x}{20} +\frac{100}{20} \\y= \frac{1}{5}x +5[/tex]