Find the area of each geometric figure or product of the polynomial.

(5n + 3)

A) 5n2 + 4n - 1
B) 25n2 + 30n + 9
C) 25n2 + 9
D) 25n2 - 9 ​

Answer:

Total cost of polishing the floor is Rs/500.

Step-by-step explanation:

The floor consists of 2000 tiles which have the shape of a rhombus.

Area of rhombus = [tex]\frac{d_{1} *d_{2} }{2}[/tex]

Where: [tex]d_{1}[/tex] and [tex]d_{2}[/tex] are the diagonals.

Given that:

[tex]d_{1}[/tex] = 40 cm = 0.4 m

[tex]d_{2}[/tex] = 25 cm = 0.25 m

Then,

Area of each tile = [tex]\frac{0.4*0.25}{2}[/tex]

                     = [tex]\frac{0.1}{2}[/tex]

                     = 0.05 [tex]m^{2}[/tex]

Area of each tile is 0.05 [tex]m^{2}[/tex].

Since there are 2000 tiles on the floor of the building, then;

Total area covered by the tiles = 0.05 x 2000

                              = 100 [tex]m^{2}[/tex]

The total cost of polishing the floor = 100 x Rs/5

                                = Rs/500

Answer:

15m−2

Step-by-step explanation:

Distribute the Negative Sign:

=18m + −1(2 + 3m)

=18m + (−1)(2) + −1(3m)

=18m + −2 + −3m

Combine Like Terms:

=18m + −2 + −3m

=(18m + −3m) + (−2)

=15m + −2

Answer: use a Calculator

Step-by-step explanation: really sorry if being mean and rude

Answer:

(C). 54°

Step-by-step explanation:

m∠3 + m∠4 = 90°

m∠1 = m∠4 = 2x + 8

(4x - 2)° + (2x + 8)° = 90°

4x - 2 + 2x + 8 = 90

6x + 6 = 90

6x = 84

x = 14

m∠6 = m∠3 = 4(14) - 2 = 54°

Answer:

House coordinate = (5, 1)

Library coordinate = (10, 13)

Step-by-step explanation:

Given :

House coordinate = (5, 1)

Library coordinate = (10, 13)

Distance between house snd library :

Distance = sqrt[(x2 - x1)² + (y2 - y1)]

x1 = 5, x2 = 10, y1 = 1, y2 = 13

Distance = sqrt[(10 - 5)² + (13 - 1)²]

Distance = sqrt[(5² + 12²)]

Distance = sqrt(25 +144)

Distance = sqrt(169)

Distance = 13

Answer:

A and C

Step-by-step explanation:

A) 160 + 20 = 180

B) 120 + 40 = 160

C) 45 + 135 = 180

D) 30 + 120 = 150

All supplementary angles must add up to 180 degrees.

Complete question :

Aliyah is drawing a ball from one bag and a tile from another bag the first bag contains four green balls and four yellow balls the second bag contains tiles 1 through 5 search

What is the probability that she draws a green ball and a tile numbered with 4?

Answer:

1 / 10

Step-by-step explanation:

Given:

Bag content :

Green balls = 4

Yellow balls = 4

Probability = required outcome / Total possible outcomes

P(drawing a green ball) = 4 / 8 = 1/2

Total number of tiles = 5

P(drawing tile numbered 4) = (number of tiles numbered 4 / total number of tiles) = 1 / 5

P(drawing a green ball) * P(drawing tile numbered 4)

= 1 / 2 * 1 /5

= 1 / 10

Answer:

She spends about 12.45 on the nuts.

Step-by-step explanation:

2/3(7.50)+1/2(2.40)+1 1/4(5.00)

Answer:

4.75

Step-by-step explanation:

2 1/5= 11/5= 2.2 pounds

10.45 / 2.2 = $4.75

Answer:

(A) Parallelogram is the right answer.

Answer: $31.50

Step-by-step explanation:

We are told that the price of a baseball card was purchased for $6 but that the value of the baseball card has increased by 425%.

The current value of the baseball card would be:

= $6 + (425% × $6)

= $6 + (425/100 × $6)

= $6 + (4.25 × $6)

= $6 + $25.5

= $31.50

Answer:

[tex]x=\sqrt{7},\:x=-\sqrt{7}[/tex]

Step-by-step explanation:

Start by rewriting the equation to standard form [tex]ax^2+bx+c=0[/tex].

[tex]5(x^2-10)+5=-10,\\5x^2-50+5=-10,\\5x^2-35=0[/tex].

Factor out the 5, then isolate [tex]x^2[/tex]:

[tex]5x^2-35=0,\\5(x^2-7)=0,\\x^2-7=0,\\x^2=7,\\x=\pm \sqrt{7}.[/tex].

Therefore, the solutions to this quadratic are:

[tex]x=\sqrt{7},\:x=-\sqrt{7}[/tex]

Move all terms not containing

x

to the right side of the equation.

Tap for more steps...

2

x

=

16

Divide each term by

2

and simplify.

Tap for fewer steps...

Divide each term in

2

x

=

16

by

2

.

2

x

2

=

16

2

Cancel the common factor of

2

.

Tap for more steps...

x

=

16

2

Divide

16

by

2

.

x

=

8

Answer:

move the constant to the right 2x=13-3 subtract 2x =10 divided both sides by 2 x=5

Answer: correct option is mean for shop A because the data distribution is symmetric; median for shop B because the data distribution is not symmetric

Step-by-step explanation:

According to the given data the correct statement is Mean for shop A because the data distribution is symmetric; median for shop B because the data distribution is not symmetric.

Note that the two values of Shop B (10 and 11) are alot lower than the other values.

Thus the correct option is Mean for shop A and Median for shop B.

Box plots are used to illustrate the five-number summary of a dataset

The five-number summary on a box plot are:

From the box plots, we have the following highlights

Read more about boxplots at:

https://brainly.com/question/14277132

Answer:

b is 5

Step-by-step explanation:

Answer:

This is a right angle.

Step-by-step explanation:

As you can see below, the angle specified is 90 degrees. That is a right angle.

Answer:

-4,5

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

Answer:

C. ΔBDC+~+ΔEDA

Step-by-step explanation:

Two triangles are said to be similar if their sides and angles are relation in a definite proportion. So that, comparing the triangles (ΔBDC and ΔEDA) in the given diagram;

<B ~ <E

<C ~ <A

D is a common angle to both triangles (right angle).

Also,

BC ~ EA

DC ~ DA

BD ~ ED

Thus, the statement that compares the two triangles is:

ΔBDC+~+ΔEDA (similarity property)

Answer:

f(t) = -.03t + 0.45

Step-by-step explanation:

Answer:

0, 1, 2, 3, 4

Step-by-step explanation:

solving 5x + 5 ≥ 3 we get x ≥ -2/5

all values above, and including, zero are solutions

Step-by-step explanation:

Answer is 120 m

Extremely sorry for delay.

Here is explanation in given attachment

Answer:

The answer is the last one: The slop of the line is 1/4, so the company charges $0.25 per mile.

Step-by-step explanation:

The slope is 1/4 because you rise 1 and run 4 putting the point at (4,1)

$0.25 because to go 4 miles it is one dollar so 1 mile is $0.25

Answer:

3rd one

Step-by-step explanation:

The answer is 9w + 12

hope this helps!

Answer:

9w + 12

Step-by-step explanation:

First, add the 7w and the 2w

7w + 2w = 9w

Second, add 3 and 9

3 + 9 = 12

Last, add the two together

9w + 12 =

Hope this helps!

Answer:

I'm sorry but I have no clue. Actually I think it's C.

Step-by-step explanation:

Answer:

£4410

Step-by-step explanation:

Step one:

given data

Principal P= £4000

Rate= 5%= 0.05

time t= 2 years

Final amount A= ??

Required

The final amount

Step two:

The expression for the final amount of compound interest is

[tex]A= P(1+r)^t\\\\A=4000(1+0.05)^2\\\\A=4000(1.05)^2\\\\A=4000*1.1025[/tex]

A=£4410

9514 1404 393

Answer:

  CB = √6 cm

Step-by-step explanation:

The diagonal of a square is √2 times the edge length, so the length AB will be (1/2)√2(2 cm) = √2 cm.

Then the length CB is given by the Pythagorean theorem as ...

  CB = √(AC^2 +AB^2) = √((2 cm)^2 + (√2 cm)^2) = √(4 +2) cm

  CB = √6 cm

Answer:

I(20) is 600 dollars

Step-by-step explanation:

From the given function, I(p) = p(50 - p)

Where I is the income in dollars and p is price dollars.

To determine I(20), that is, to determine the income in dollars when the ticket price is 20 dollars.

From

I(p) = p(50 - p)

When p = 20

Then,

I(20) = 20(50 - 20)

I(20) = 20(30)

I(20) = 20 × 30

I(20) = 600

Hence, I(20) is 600 dollars

That is, the income is 600 dollars when the ticket price is 20 dollars.

Step-by-step explanation:

[tex]y = 2x + 2 \\ y = 4x - 2 \\ 2x = y - 2 \\ x = 0.5y - 1 \\ y = 4(0.5y - 1) - 2 \\ y = 2y - 4 - 2 \\ - y = - 6 \\ y = 6 \\ x = 0.5 \times 6 - 1 \\ x = 2[/tex]

Answer:

3

Step-by-step explanation:

j(2) means that x equals 2...

the first inequality in the function says that x is greater than or equal to 2

the second inequality states that x is greater than 2(not equal to) and is less than or equal to 5

the third one states that x is greater than 5

x applies to the first inequality since we know that x can be equal to 2

Now, to the number before the if

there is a 3 before the if in the first inequality

This means that if x is greater than or equal to 2 the y or the function would equal 3

therefore, j(2) would equal 3

I hope this helps!!!