How many ways can you arrange the letters in the word MARBLE if the letters B and L have to
stay together?

Given:

The figure of rectangle.

To find:

a. The diagonal of the rectangle.

b. The area of the rectangle.

c. perimeter of the rectangle.

Solution:

(a)

In a right angle triangle,

[tex]\sin \theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]\sin 30=\dfrac{12}{Hypotenuse}[/tex]

[tex]\dfrac{1}{2}=\dfrac{12}{Hypotenuse}[/tex]

[tex]Hypotenuse=12\times 2[/tex]

[tex]Hypotenuse=24[/tex]

So, the diagonal of the of the rectangle is 24 units.

(b)

In a right angle triangle,

[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]

[tex]\tan 30=\dfrac{12}{Base}[/tex]

[tex]\dfrac{1}{\sqrt{3}}=\dfrac{12}{Base}[/tex]

[tex]Base=12\sqrt{3}[/tex]

Length of the rectangle is 12 and width of the rectangle is [tex]12\sqrt{3}[/tex]. So, the area of the rectangle is:

[tex]Area=length \times width[/tex]

[tex]Area=12 \times 12\sqrt{3}[/tex]

[tex]Area=144\sqrt{3}[/tex]

So, the area of the rectangle is [tex]144\sqrt{3}[/tex] sq. units.

(c)

Perimeter of the rectangle is:

[tex]P=2(length+width)[/tex]

[tex]P=2(12+12\sqrt{3})[/tex]

[tex]P=24+24\sqrt{3}[/tex]

[tex]P\approx 65.57[/tex]

Therefore, the perimeter of the rectangle is about 65.57 units.

Therefore, the variance (²)  of the data. 22, 34, 7, 27, 25 x = 23  is 79.6.

To find the  variance of a set of data, you can follow these steps.

Calculate the mean of the data set.

Mean = (22 + 34+ 7 +27 +25)= 23.

Substract the mean from each data point and square.

(22 -23)² =1

(34 -23)² =121

(7-23)² =256

(27-23)² =16

(25 -23)² =4

Find the mean of the squared differences.

The mean of squared differences = (1 + 121+ 256+ 16+ 4) /5 = 79.6

Therefore, the variance (²) is 79.6.

Learn more about variance below.

https://brainly.com/question/30125349

#SPJ1

Answer:

Step-by-step explanation:

Using the comparison, substitution, and elimination method, the answer is:(x,y)=(3,-2)

When rewriting the equation the answer is:

3x+y=7

2x-y=8

Answer:

14

Step-by-step explanation:

35% of 40

= 35/100 × 40

= (35×4)/10

= 140/10

= 14

Answer:

(-4+5)-1

Step-by-step explanation:

Answer:

I am pretty sure 237

Step-by-step explanation:

Answer:

4

(if this is a joke then the answer's 5, a fish, etc...)

Answer:

4

Step-by-step explanation:

Answer:

https://studyandanswers.com/mathematics/question18362805#

Step-by-step explanation:

Answer:

24 square units

Step-by-step explanation:

When the sides are doubled, new figure so obtained will have:

Base (b) = 2*3 = 6 units

Height (h) = 2*4 = 8 units

Area of the figure when each sides are doubled

[tex] = \frac{1}{2} \times b \times h \\ \\= \frac{1}{2} \times 6 \times 8 \\ \\ = 3 \times 8 \\ \\ = 24 \: square \: unite[/tex]

Answer:

about 8 km per hour

Step-by-step explanation:

8 kilometers every hour for 5 hours is 40 km wich is very close to 42km. hope this helps

Answer:

C

Step-by-step explanation:

since -6 and -6 are factors of 36 that add up to equal -12, the factored form of the expression is (x-6)^2.

Answer:

27

Step-by-step explanation:

The width of the frame is 9. If Marcia needs it to be THREE times as long as it is wide, that would mean she would have to multiply 3 x 9 which equals 27

Step-by-step explanation:

11 + 7 + 6 + 3 = 27

total amount of pizza = 27

Hawaiian pizza = 3

3/27 = 1/9

Answer:

I dont know

Step-by-step explanation:

Answer:

A = 21

B = 5

Step-by-step explanation:

1 meter = 100 centimeters

This means that she has 320cm of ribbon. Now you need to divide 320 by 15

320/15 = 21.3333333333

So to check your work you could multiply 15 by 21

15 x 21 = 315

This answer is less than 320 so you now know that Nabiha can cut 21 pieces of ribbon that are 15cm long. You also know that the remaining piece is 320 - 315 = 5.

Please award me brainiest! Hope this helps!

Answer: green

Step-by-step explanation:

Answer:

(x+3)(x+7)

Step-by-step explanation:

3 and 7 are factors of 21, and they add up to 10.

Answer:

Perimeter = 2(L+W)

31 =2(9+w)

31 =18+2W

31-18=2W

13=2W

W=13/2

W=6.5cm

Answer:

$52.50 (rounded)

Step-by-step explanation:

I = Prt

I = 154.4(.085)(4)

I = 52.496

Answer: 28.05

Step-by-step explanation:

Answer:

98 cm^2

Step-by-step explanation:

it contains 8 right triangles and one square;

the area of the square = 8 x 8 = 64

.

the area of all the traingles; 4 x 8 = 32

.

sum up; 32 + 64 = 98 cm^2

Answer:

   __X__l__Y_

        1     l    3

        5    l    6

        9     l    9

        13   l    12

        17   l    15

        21   l    18

On the right side, the numbers get larger by adding three each time. On the left side, the numbers get larger by adding 4 each time. It would be the same for any other pair of numbers when you add 4 to the left, and 3 to the right. For instance, the next pair would be (25 , 21). 25 would be the X value, and 21 would be the Y value.

Answer:

Step-by-step explanation:

The side opposite to the angle 30 degree in right triangle is half of hypothenuse.

Answer:

5 hr 30 minutes

2:12 pm

Step-by-step explanation:

s= 550km

v = 100km/hr

t = ?

SPEED = DISTANCE/ TIME TAKEN

or, v = s/t

or, 100km/hr = 550km/ t

or, t = 550/100

t = 5.5

t = 5 hrs 30 minutes

8:42

+5:30

13 :72

which is 14 :12 = 2 :12

9514 1404 393

Answer:

  2800 tiles

Step-by-step explanation:

Each tile has an area of (0.05 m)² = 0.0025 m². Then the number of tiles required to cover 7 square meters is ...

  (7 m²)/(0.0025 m²/tile) = 2800 tiles

It will take 2800 tiles to cover the entryway.

Answer:

Part 1: f(x)=0 has 0 solutions

Part 2: g(x)=0 has 2 solutions

Part 3: h(x)=0 has 1 solution

I graphed them