b) Prove that
Tan 47°\cot 43°= 1​

Answer:

18 albums

Step-by-step explanation:

2x+3x=45

5x=45

x=9

country=2(9) = 18 album

Answer:

1836 bacteria

Step-by-step explanation:

Now the data is a progression; 38,000, 33,820, 30,100 .........

We can find out what type of progression it is, in this case, we can see that it is a geometric progression because;

r= 33,820/38,000 = 30,100/33,820 = 0.89

So, for a geometric progression;

Un = ar^n-1

Where;

a = 38,000

r = 0.89

n = 27 days

Un = ???

Un = 38,000 * (0.89)^27 - 1

Un = 1836 bacteria

Answer:

5x + 15

Step-by-step explanation:

3(2x + 5)-x

6x + 15 - x

5x + 15

Hope this Helps!!!

Answer: B

Step-by-step explanation:

The equation [tex]y+2=\frac{3}{4} x-8[/tex] is not yet in slope-intercept form([tex]y=mx+b[/tex]).  Simply subtract 2 from both sides to turn the equation into slope intercept form as [tex]y=\frac{3}{4}x-10[/tex].  For a line to be perpendicular to another, it must have an opposite reciprocal slope.  A reciprocal is the fraction reversed, where the numerator is the denominator and vice versa.  Thus, 3/4 would become 4/3.  The opposite reciprocal of 3/4 would be -4/3.

The slope of the line given is 3/4.  Thus, simply plug in the opposite reciprocal of 3/4 for the slope to get: [tex]y=-\frac{4}{3} x+b[/tex].  Then, because the line passes through -12, 1, plug those values in for x and y, respectively.  

[tex]1=-\frac{4}{3}*-12+b[/tex]

[tex]1=16+b[/tex]

[tex]-15=b[/tex]

Thus, the equation of the line is [tex]y=-\frac{4}{3} x-15[/tex], or B.

Hope it helps :D

Answer:

12 yards

Step-by-step explanation:

you subtract negative 8 and 4 and it gives you twelve yards of the play

Answer:

88 feet

Step-by-step explanation:

2x (6x4+6x2+4x2)=88

Answer:

12 years

Step-by-step explanation:

Answer:

Step-by-step explanation:

RS + ST = RT

6y + 3 + 4y + 7 = 60

6y + 4y + 3 + 7 = 60

       10y + 10   = 60

                  10y = 60 - 10

                 10y = 50

                    y = 50/10

y = 5

RS = 6*5 + 3 = 30 +3 = 33

ST = 4*5 + 7 = 20 + 7 = 27

Step-by-step explanation:

[Diagram in image attached]

RS + ST = RT

(6y +3) + (4y + 7) = 60

6y + 3 + 4y + 7 = 60

10y + 10 = 60

10y = 60 - 10

10y = 50

y = 50/10

y = 5

RS = 6y +3 = 6(5) + 3 = 30 + 3 = 33

ST = 4y +7 = 4(5) + 7 = 20 + 7 = 27

RT = 60

{RS + ST = RT

33 + 27 = 60}

HOPE THIS HELPS YOU

MARK AS BRAINLIEST

Answer:

c

[tex]2x {y}^{3} [/tex]

d

[tex]3x {y}^{2} [/tex]

f.10

Step-by-step explanation:

C. first you have to find the HCF of 2 and 6 then the HCF of

x and

[tex] {x}^{3} [/tex]

and

[tex] {y}^{5} and \: {y}^{3} [/tex]

Then:

[tex]2x {y}^{3} [/tex]

D.first you have to find the HCF of 6 ,9 and 3 then the HCF of

[tex] {x}^{2} \: \: x \: and \: {x}^{4} [/tex]

then the HCF of

[tex] {y}^{2} \: \: {y}^{3} and \: {y}^{4} [/tex]

then:

[tex]3x {y}^{2} [/tex]

F. I'm not sure but 10

if its helpful ❤❤❤❤

THANK YOU.

Answer:

It is positive 3

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

Any numbers inside the absolute value are always positive, so in this case, 12 is 12, and -15 is 15.  Add these numbers to get 27 as your answer.

Answer:

I hope this helps sorry if I'm wrong

Answer:

y = 1x

Step-by-step explanation:

y

[tex]y \geqslant 1x + 2[/tex]

cancel out the +2 by using the opposite sign and add a 1 in front of the x

Answer:

The mean absolute deviation of the data set is 2.5

Step-by-step explanation:

We need to find mean absolute deviation of the data set:

10,8,10,6,6,2,10,4

First we will find mean of the given data set.

The formula used is: [tex]Mean=\frac{Sum\:of\:all\:data}{Number\:of\:data}[/tex]

Sum of all data = 10+8+10+6+6+2+10+4 = 56

Number of data = 8

So, mean will be:

[tex]Mean=\frac{Sum\:of\:all\:data}{Number\:of\:data}\\Mean=\frac{56}{8}\\Mean=7[/tex]

Now, we will calculate the absolute difference between mean and each data value.

|10-7| = 3

|8-7| = 1

|10-7| = 3

|6-7| = |-1| = 1

|6-7| = |-1| = 1

|2-7| = |-5| = 5

|10-7| = 3

|4-7| = |-3| = 3

Now, we will find mean of 3,1,3,1,1,5,3,3

Sum of all data = 3+1+3+1+1+5+3+3 = 20

Number of data = 8

So, mean will be:

[tex]Mean=\frac{Sum\:of\:all\:data}{Number\:of\:data}\\Mean=\frac{20}{8}\\Mean=2.5[/tex]

So, the mean absolute deviation of the data set is 2.5

Answer:

123 if your going to the nearest whole number

Step-by-step explanation:

Since

6 : 7 = X : 143

Then we know

6/7 = X/143

Multiplying both sides by 143 cancels on the right

143 × (6/7) = (X/143) × 143

143 × (6/7) = X

Then solving for X

X = 143 × (6/7)

X = 122.57142857143

Therefore

6 : 7 = 122.57142857143 : 143

Answer:

The Slope is 3/2

Step-by-step explanation:

Hope this helps

Answer:

(1) 8.3

Step-by-step explanation:

Answer:

1) 8.3

Step-by-step explanation:

get rid of the (), which u will get 4x-28=0.3x+0.6+2.11

combine like terms, which u will get 4x-28=0.3x+2.71

move variable to one side and numbers to the other, which you will get

3.7x=30.71

divide both sides by 3.7 which u will get 8.3

Answer:

19.2cm

Step-by-step explanation:

You can solve with a proportion because all sheets of paper are the same thickness

[tex] \frac{500}{8} = \frac{1200}{x} [/tex]

[tex]x = \frac{1200 \times 8}{500} [/tex]

x = 19.2cm

Answer: 1.C 2.B

Step-by-step explanation:

Answer:

So the pattern is dividing in half

So 300, 150, 75

We have the first 3 terms

The 4th term: 37.5, 18.75,

So we get the 10th term: 0.58

Answer:

7200

Step-by-step explanation:

Find the exponents first.

10^3 = 1000

10^2 = 100

So..

7 x 1000 + 2 x 100

Do the multiplication first (BEDMAS - Brackets Exponents Division Multiplication Addition Subtraction).

7000 + 200 = 7200

Answer:yes

Step-by-step explanation:

Answer:

1/18.

Step-by-step explanation:

2x^-2 y^-2

x= 3 and y = –2?

Answer is 2(3)^-2 * (-2)^-2

= 2/(3)^2 * 1/(-2)^2

= 2/9 *  1/4

= 2/36

= 1/18.

Answer:

y=2x-3

Step-by-step explanation:  

The slope-intercept form of the original equation would be y=3/8−x/2

Therefore, the slope of the perpendicular line would be m=2

Then, the y-intercept would be 7=(2)x(5)+a

A=-3

Answer:

y=2x+3

Answer:

The width of the lid is 15 cm

Step-by-step explanation:

The Perimeter of a Rectangle

Given a rectangle of width W and height H, the perimeter is calculated as:

P = 2(W + L)

Jon used 56 cm of ribbon to go around the edge of a rectangular lid. This means the perimeter is:

2(W + L) = 56

Dividing by 2:

W + L = 28

Since the lid was L=13 cm long, the width is:

W = 28 - 13 = 15

The width of the lid is 15 cm

Answer:

x=37 CD=20

Step-by-step explanation:

We know this becuase the two triangles are congruent.

Answer:

Sam is right.

Step-by-step explanation:

Key skills needed: Fraction Modelling, Fraction Division

1) We are given this problem --> [tex]6[/tex] ÷ [tex]\frac{1}{4}[/tex]

2) This means we need to find how many [tex]\frac{1}{4}[/tex]'s are in 6.

3) There are 2 ways to approach this problem

        1. The first way is via using the fractional division properties:

Let's say we are given a problem --> [tex]a[/tex] ÷ [tex]\frac{b}{c}[/tex]

This can be made into  --> [tex]a[/tex] × [tex]\frac{c}{b}[/tex]

It is a simple property that should be remembered.

This means that [tex]6[/tex] ÷ [tex]\frac{1}{4}[/tex] is the same as [tex]6[/tex] × [tex]\frac{4}{1}[/tex] which is 24.

        2. The second way is with using a model (which I am not very good with). The model way is the image I will post.

Hope you understand both ways and have a nice day!! :D    

Answer:The answer is 360 cubic meter.

Step-by-step explanation:

Answer:

It's 360 cubic meter.

Step-by-step explanation:

Volume of rectangle=length*width*height

                                 =    9×8×5

                                 = 360m³

Answer:

$29.66

Step-by-step explanation:

6% taxes is 1.68 , 27.98+ 1.68= $29.66

Sales tax:

[tex]\\ \tt\longmapsto 0.06(27.98)[/tex]

[tex]\\ \tt\longmapsto 1.67[/tex]

Total=

Answer:

56 feet

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)