Which expression is equivalent to 2(4 + x + 6y) + 3(5 + 3x + y)

The area of the rhombus ABCD is 24.7 cm².

The length of diagonal BD is 6.5 cm.

A rhombus have equal four sides and the diagonals of the rhombus divides it into four equal right triangles. The area of the rhombus is the sum of individual areas of the four right triangles.

The hypotenuse side of the right triangle = side of the rhombus = BC = 5 cm

The second leg of the right triangle is calculated as follows;

[tex]x^2 + 3.8^2 = 5^2\\\\ x^2 = 5^2 - 3.8^2 \\\\ x^2 = 10.56\\\\ x = \sqrt{10.56} \\\\ x = 3.25 \ cm[/tex]

The area of one right triangle of the rhombus is calculated as follows;

[tex]A = \frac{1}{2} (3.8)(3.25)[/tex]

The area of the rhombus ABCD is calculated as follows;

[tex]A = 4 \times \frac{1}{2} (3.8)(3.25)\\\\ A = 24.7 \ cm^2[/tex]

The length of diagonal BD is calculated as follows;

[tex]BD = OB \ + \ OD\\\\ BD = x \ + \ x\\\\ BD = 3.25 \ cm \ + \ 3.25 \ cm\\\\ BD = 6.5 \ cm[/tex]

Learn more about area of rhombus here: https://brainly.com/question/2456096

2x = -5

x = -5 : 2

x = -2,5

................

Answer:

B) -1  3/4

Step-by-step explanation:

Answer:

8000 and 12,000

Step-by-step explanation:

Let the amount of money deposited in the 3% account be known as "x"

The amount of money deposited in the 6% account would be "20,000 - x" (aka the remaining amount of money not put into the first account)

3% Interest -> 0.03 *

6% Interest  -> 0.06 *

0.03 * x + 0.06 * (20,000 - x) = 960

0.03x + 1200 - 0.06x = 960

-0.03x = -240

x = 8000

20,000 - x

20,000 - 8000 = 12000

mcyt mcyt mcyt mcyt mcyt

Answer:

Area of sector = 11.8 m² (Approx.)

Step-by-step explanation:

Given:

Radius of a circle = 3 m

Given angle = 150°

Find:

Area of sector

Computation:

Area of sector = [θ/360][π][r]²

Area of sector = [150/360][22/7][3]²

Area of sector = [150/360][22/7][9]

Area of sector = [150/360][3.1428][9]

Area of sector = [0.4167][3.1428][9]

Area of sector = [1.345][9]

Area of sector = 11.789

Area of sector = 11.8 m² (Approx.)

Answer:

Resultado como fracción:

-9⁄36

Resultado como número:

-0,25

¿Cómo se calculó esto?

9

12 - 3

3 = 27 - 36

36 = -9⁄36

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

9/12 × 3/3 = 0.75

0.75 = 3/4

9 × 3 = 27

12 × 3 = 36

27/36 = 0.75

0.75 = 3/4

Answer:

y = 96

Step-by-step explanation:

In order to find y we have to find the value of  x

angle "x" is an angle formed by a tangent line and a secant line.

Kindly look at the image.

As you can see an angle formed by a tangent and a secant is equal to half of its intercepted arc.

x's intercepted arc has a measure of 168

So...

X = [tex]\frac{168}{2}[/tex]

[tex]\frac{168}{2} =84[/tex]

So x = 84

Now to find y.

Angle "x" and angle "y" are formed on a straight line.

Angles formed on a straight line add up to equal 180°

That being said we can find a missing angle ( y ) by subtracting the given angle's measure ( angle x which has a measure of 84°) from 180

so y = 180 - 84

180 - 84 = 96

Hence y = 96

Answer:

The answer is 6

Step-by-step explanation:

Since you have to divvied 40 to 8 witch gives you 6

Answer:

the height is 20

I can't read the question.

Answer:

A) 16

Step-by-step explanation:

1st sequence: 72-8x

2nd sequence: 58-6x

Set both sequences equal to each other and solve for x:

72-8x=58-6x

14-8x=-6x

14=2x

7=x

x=7

Plug x=7 back into the equation:

72-8(7)=58-6(7)

72-56=58-42

16=16

So the first number that appears in both sequences is 16.

Answer:

Slope = 5/3

-------------------

m =  5/3

Answer:

5/3

Step-by-step explanation:

Hello, to find the slope from two given points, you use this formula- y2-y1/x2-x1. In this problem, 9 would be y2, -6 would be y1, 6 would be x2, and -3 would be x1. The equation should look like this:

9-(-6)/6-(-3)

Since both are negatives, you would add it like this:

9+6/6+3= 15/9

Now, you need to simplify this fraction which is 5/3.

Answer:

9:59

Step-by-step explanation:

Answer:

C) 9:59

Step-by-step explanation:

Now 9:29

in 30 min 9:59

Answer:

A, 616 cm^2

Step-by-step explanation:

Area- πr^2

A- 3.14(14^2)

A- 3.14(196)

A- 615.44 cm^2 or ≈ 616 cm^2

Answer:

A.

Step-by-step explanation:

Answer:

the first one

Step-by-step explanation:

it's the first one

Answer:you will have to split it in half

Step-by-step explanation:

I just did something like this

Answer:

3

Step-by-step explanation:

[tex]72[/tex]÷[tex]24=3[/tex]

Answer:

A.

Step-by-step explanation:

4x4x6=96

2x4x6=48

48+96=144

Answer:

A) 144 cube units

Step-by-step explanation:

4 x 4 x 6= 96cube units

8 x 6= 48 cube units

48+96=144 cube units

Answer:

4

Step-by-step explanation:

2/5*100 = 40

40/10 =4

Answer:

4

Step-by-step explanation:

2/5 of a century is 40 years. 40 years is 4 decades

Answer:

1 x= 23°

2 x= 148°

3 x= 106°

4 x=17.3°

5 x=25°

6 x=30°

7 x=45°

8 x=48°

9 x=44°

Answer:

median-75

mode-70

range-40

mean-77

Step-by-step explanation:

Answer:

A right angle is measured 90°

Step-by-step explanation:

A right angle is measured 90°

An acute angle is measured <90° (for example 30° and 45°)

An obtuse angle is measured >90° but <180° (for example 170°)

A straight angle is measured 180°

Answer:

Step-by-step explanation:

(1/6)^p=36^3×6^18

[tex](\frac{1}{6}) ^p=(6^2)^3 \times 6^{18}\\\frac{1}{6^p} =6^{2 \times 3} \times 6^ {18}\\6^{-p}=6^6 \times 6^{18}\\=6^{6+18}\\=6^{24}\\-p=24\\p=-24[/tex]

Answer:

H = (234 - 50)/6.50

H = 29 hours

Step-by-step explanation:

H = hours to work

H = (234 - 50)/6.50

H = 28.31 hours

Answer:

60

Step-by-step explanation:

Answer:

24 mouths have passed

Step-by-step explanation: