What is the approximate area of rectangle ABCD?

9514 1404 393

Answer:

  C)  √3

Step-by-step explanation:

The repeating decimals are both single digits, beginning at the decimal point. So, their equivalent is that digit divided by 9:

  [tex]0.\overline{4}=\dfrac{4}{9}\\\\0.\overline{9}=\dfrac{9}{9}=1[/tex]

This means the given expression can be simplified to ...

  [tex]\dfrac{3\sqrt{0.\overline{4}}+\sqrt{0.\overline{9}}}{\sqrt{3}}=\dfrac{3\sqrt{\dfrac{4}{9}}+\sqrt{\dfrac{9}{9}}}{\sqrt{3}}=\dfrac{3\cdot\dfrac{2}{3}+1}{\sqrt{3}}=\dfrac{3}{\sqrt{3}}=\boxed{\sqrt{3}}[/tex]

Step-by-step explanation:

4/3 = -6e - 5/3

6e = -4/3 - 5/3

6e = -9/3 = -3

e = -0.5

Answer:

The equation is always false

Step-by-step explanation:

Answer:

0.0381 this should be the answer

Answer:

1 whole number 13 over 15

Step-by-step explanation:

4/5÷3/7

4/5*7/3

=1¹³/15

Answer: Slope= 0.833/2.000= 0.417

​

Step-by-step explanation:

Answer:

x=12/5y+24/5

Step-by-step explanation:

5x-12y=24

add 12y to both sides

problem comes down to 5x=12y+24

divide everything by 5

9514 1404 393

Answer:

  see below

Step-by-step explanation:

Assuming i and j refer to the row and column of a given element, that matrix would be ...

  [tex]\left[\begin{array}{cc}2&3\\3&4\end{array}\right][/tex]

__

Rows are numbered top down, starting with 1. Columns are numbered left-to-right, starting with 1. The upper left element is in row 1, column 1, so has a value here of 1+1 = 2. Each number is one more than the one to its left. Each number is 1 more than the one above it.

Answer:

4

Step-by-step explanation:

Answer: 7 buses

Step-by-step explanation:

hope this helps!

Answer:

the computer will cost 864.5

Step-by-step explanation:

15% of 950 is 142.5.

950-142.5=807.5

6% of 950 is 57

Answer:

$855.95

Step-by-step explanation:

So We can first multiply the original price by 0.85 becuase its 15 percent off and we’re paying 85 percent of the original price basically.

You’ll get 807.50.

Now to find the sales tax we multiply that by 1.06 becuase the 100 percent is the price now and we’re just adding 6 percent so 1.06, and you’ll get 855.95

So no adding and subtracting and that takes off 2 steps and its way quicker

So the final answer is $855.95

Answer:

81 cm

Step-by-step explanation:

Length of a room = 12m 15cm

Width of a room = 8 m 91 cm

12 m 15 cm = 1200 cm + 15 cm = 1215 cm

8 m 91 cm = 800 cm + 91 cm = 891 cm

The floor of the room is tobe paved with squared tiles. We need to find the length of the largest tile that can be used.

To find it we can find the HCF of 1215 cm and 891 cm.

Prime factorization of 1215 = 3 x 3 x 3 x 3 x 3 x 5

Prime factorization of 891 = 3 x 3 x 3 x 3 x 11

HCF = 3 x 3 x 3 x 3

= 81

Hence, the length of the largest tile that can be used is 81 cm.

Answer:

Each box weighs 0.18 kilogram.

Step-by-step explanation:

We can do proportions to solve.

[tex] \frac{1.29 \: kilograms}{7 \: boxes} = \frac{x}{1 \: box} \\ \\ \frac{7x}{7} = \frac{1.29}{7} \\ \\ x = 0.18 \\ x = 0.18 \: kilogram[/tex]

Answer:

The number of clay flower pots = x = 19

The number of ceramic flower pots = y = 16

Step-by-step explanation:

Let

The number of clay flower pots = x

The number of ceramic flower pots = y

Tara bought 35 flower pots

= x + y = 35

x = 35 - y

The gardening store sells clay flower pots, which hold 2 litres of dirt, and ceramic flower pots, which hold 7 litres. Tara bought 35 flower pots, which will hold a total of 150 litres of dirt.

Hence:

2x + 7y = 150.... Equation 2

Substitute 35 - y for x in Equation 2

2 (35 - y) + 7y = 150

70 - 2y + 7y = 150

-2y + 7y = 150 - 70

5y = 80

y = 80/5

y = 16 flower pots

x = 35 - y

x = 35 - 16

x = 19 flower pots

The number of clay flower pots = x = 19

The number of ceramic flower pots = y = 16

Answer:

The number of clay flower pots = 19

The number of ceramic flower pots = 16

Step-by-step explanation:

The GCF of 15 and 64 is 1.

Answer:

1

Step-by-step explanation:

the answer to this question is 1, you need to multiply all sides together to get the volume (5/4)(4/3)(3/5) is one

hopefully this is right

Answer:

c=3

Step-by-step explanation:

Answer:

the answer is b

Domain: possible x values

Between -10 and 6

Solution: -10 < x < 6

Step-by-step explanation:

I guess its 1/3 ??........

Answer:

A right triangle is a triangle that has 90 degrees angle in one of its parts. You are given two points that have coordinate:

x1,y1= (-2, 4)

x2,y2= (-1,1)

To make the angle 90 degrees, there is two possible third point coordinate:

1. x1, y2 = (-2,1)

2. x2, y1= (-1,4)

The right triangle would be option C: (-2,1)

Option A and B is not a right triangle

Step-by-step explanation:

Answer:

the coordinates of vertex E is (6,0)

C(2,0),compare this to(2,4)

same x.but y=0

(6,0)comparing to (6,12)

we get it

Answer:

75..............................

Answer:

Number of Years to Double= 10.62 years

Step-by-step explanation:

First, we need to calculate the real annual interest rate:

Real annual interest rate= {[(i/12)+1]^12} - 1

Real annual interest rate=  [{(0.064/12) + 1]^12 - 1}

Real annual interest rate= 0.0659

Now, we need to use the rule of 72. The rule of 72 is a means of estimating the number of years it takes for an investment or your money to double.

Number of Years to Double= 70/Annual Rate of Return

Number of Years to Double= 70/6.59

Number of Years to Double= 10.62 years

Answer:

hey your really cute thats all

Step-by-step explanation:

;) love you bubs see you someday, now

Answer:

D. it has all the odd number in between 2-20 and in order

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Those are all the odd numbers between 2 and 20

Given:

a and b are two legs of a right triangle and c is hypotenuse.

a=3 and c=5

To find:

The value of b.

Solution:

According to the Pythagoras theorem,

[tex]hypotenuse^2=(leg_1)^2+(leg_2)^2[/tex]

Using Pythagoras theorem, we get

[tex]c^2=(a)^2+(b)^2[/tex]

Now, putting a=3 and c=5, we get

[tex]5^2=(3)^2+b^2[/tex]

[tex]25=9+b^2[/tex]

[tex]25-9=b^2[/tex]

[tex]16=b^2[/tex]

Taking square root on both sides.

[tex]\pm \sqrt{16}=b[/tex]

[tex]\pm 4=b[/tex]

The measure of side of a triangle cannot be negative. So, only value of b is 4.

Therefore, the value of b is 4.

Answer:

x= -1/2 or x=3/2

Step-by-step explanation:

hope this helps

9514 1404 393

Answer:

  x = 15

Step-by-step explanation:

Corresponding sides are proportional, so the ratios of bottom to left side are the same. The left side of the large triangle is 6+4=10.

  x/10 = 9/6

  x = 10(9/6) . . . . multiply by 10

  x = 15