The sum of two numbers is 45. One number is 9 more than the
other one. Find the numbers.

Answer:

60

Step-by-step explanation:

Cot is the same as 1/tan so:

[tex]1/tan(theta) = tan(30)[/tex]

By rearranging the equation, we get:

[tex]1/tan(30) = tan(theta)[/tex]

By taking the inverse tan, we get:

[tex]theta = tan^-1 (1/tan(30)) =60[/tex]

Answer:

8

Step-by-step explanation:

The given set to us is ,

=> A = { 2 , 3 , 4 }

And ,

=> n(A) = 3

The Total number of subsets of a set A with n number of elements is given by ,

=> n(subsets) = 2ⁿ .

=> n( subsets) = 2³

=> n ( subsets ) = 8

This is because we have a list of perfect squares 0,1,4,9,...

We use n-1 in place of n because we're shifting things one spot to the left, since we start at 0 instead of 1.

In other words, if the answer was n^2, then the first term would be 1^2 = 1, the second term would be 2^2 = 4, and so on. But again, we started with 0^2 = 0, so that's why we need the n-1 shift.

You can confirm this is the case by plugging n = 1 into (n-1)^2 and you should find the result is 0^2 = 0. Similarly, if you tried n = 2, you should get 1^2 = 1, and so on. It appears you already wrote the answer when you wrote "Mark Scheme".

All of this only applies to sequence A.

side note: n is some positive whole number.

Answer:

(f+g)(x) = 60x + 400

Step-by-step explanation:

Given :

Amount in account A:

f(x) = 20x + 100

Amount in account B :

g(x) = 40x + 300

Total amount in Account A and B:

f(x) + g(x) = (20x + 100) + (40x + 300)

(f+g)(x) = (20x + 40x) + (100 + 300)

(f+g)(x) = 60x + 400

Answer:

If the shape of end face has n sides

Then, in total, there are n+2 faces

Using that formula

Faces in 20-sided polygon = n+2 = 20+2 = 22

Step-by-step explanation:

Pls vote as brainliest

Answer:

D

Step-by-step explanation:

We can start by taking a look at the x and y intercepts. When x=0, y=3. Plugging this into each function,

5 * 3^(0) = 5

3 * 5^(0) = 3

5 * (1/3)^(0) = 5

3 * (1/5) ^ (0) = 3

Therefore, our answer must be either B or D. Then, although y=0 isn't given on the graph, based on where the graph is heading, we can say that y is getting smaller as x gets larger. For a big number, such as 100, we know that

3 * 5^(100) is something big and 3 * (1/5) ^ (100) is something small*. Therefore, as y must get small, not big, as x gets larger, D is our answer.

* We know that this is something small because anything less than 1 to the power of something greater than 1 makes it smaller. For example, 0.5² is 0.25, which is smaller than 0.5

Answer:

I think you will collect like terms

Answer:

D. Add 8x to both sides of the inequality

Answer: 2^-3 = 1/8

2^-1 = 1/2

you have to multiply 2^-3 by 4 to get to 2^-1

Step-by-step explanation:

Answer:

x+2x+90 =180

3x =180

x =60

x=2y

2y=60

y=30

2y +z =180

z =180-60

. z =120

Answer:

Top right

Step-by-step explanation:

First, we have "h is increasing on the interval (3, +∞)." This means that h must be increasing for all values 3 and higher. This is shown on the top left, top right, and bottom right graphs because when x goes up on each of them, the function increases as well. However, for the bottom left graph, this is not shown because as x goes from 3 to 4, the function decreases.

Next, the statement given is "h(4)=2". This means that when the x value is 4, the y value is equal to 2. This is true for the top left and top right pictures. However, for the bottom right, as the x value is 4 on the x axis, the corresponding y value is 1, not 2.

This leaves us with the top left and top right. The final characteristic given is "The domain of h is [3, +∞). This means that the x values of said function only go from 3 to infinity. As the top left graph has values of x below 3, this leaves the top right graph as h

Answer:

y =34

x = 25

Money made from flight x = 3000

Money made from flight y = 9520

Step-by-step explanation:

Tickets sold

59= x+y

Amount of money

120x + 280y = 12520

Using substitution

x = 59-y

120( 59-y) + 280y = 12520

7080 - 120y +280y = 12520

Combine like terms

160y +7080 = 12520

Subtract 7080

160y = 12520-7080

160y =5440

Divide by 160

160y/160 = 5440/160

y =34

Now find x x = 59-y = 59-34 =25

x = 25

Money made from flight x =

120*x = 120*25 =3000

Money made from flight y =

280*y= 280*34=9520

Answer:

285.214 cubic meters

Step-by-step explanation:

So I use this equation V=πr2h

All because this equation have a radius and so I put it in this form

V= π5.5^2 x 3

V=285

(I hope this help and if it’s wrong I am truly sorry)

The required volume of the given cylinder is 285.214 cubic meters. Option A is correct.

For a cylinder,
Height  = 3m
Radius = 5.5m
Volume = ?

Volume is defined as the ratio of the mass of an object to its density.

Here,
The volume of the cylinder is given as,
Volume = πr²h
Substitute the value in the equation,
Volume = 3.14×5.5²×3
volume = 285.214 cubic meters.

Thus, the required volume of the given cylinder is 285.214 cubic meters. Option A is correct.

Learn more about Volume here:

https://brainly.com/question/1578538

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Evaluate using a suitable identity:  (997)³

991026973

Given:

(997)³

To solve this using an appropriate identity;

i. Rewrite by splitting the value in bracket (997) into a difference of two numbers. i.e

(997)³ = (1000 - 3)³

ii. Use the appropriate identity

Since the split from (i) above gave a cube of the difference of two numbers,  we can apply the following identity for finding the cube of the difference of two numbers;

(a - b)³ = a³ - b³ - 3ab(a - b)

In this case;

a = 1000

b = 3

(iii) Substitute the values of a and b into the identity equation and solve;

(1000 - 3)³ = 1000³ - 3³ - 3(1000)(3)(1000 - 3)

(1000 - 3)³ = 1000000000 - 27 - 9000(997)

(1000 - 3)³ = 1000000000 - 27 - 8973000

(1000 - 3)³ = 991026973

Therefore,

(997)³ = 991026973

The transformations that could map ABC to A"B"C" are: (d) a dilation and a rotation

From the figure, we have the following highlights:

The above highlights mean that:

The transformations that could map ABC to A"B"C" are dilation and rotation

Hence, option (d) is true

Read more about transformations at:

https://brainly.com/question/4289712

Answer:

angle = 67°

Step-by-step explanation:

let

a = angle in degrees

(90-a) = complement

given

a = 2(90-a)+21

Solve for a

a = 180 - 2a + 21

3a = 201

a = 67°

Answer:

Step-by-step explanation:

According to exponent rules, when we multiply two power with the same base we ADD the exponents.

[tex]c^{6}*c^{4} = c^{6+4} = c^{10}[/tex]

Answer:

39.52

Step-by-step explanation:

Answer:

Table multiplication:

7.6 times

5.2 =

15.2

38.0

—-

39.52

Answer:

PQ = 46

Step-by-step explanation:

The midsegment ST is half the length of the third side PQ , that is

ST = [tex]\frac{1}{2}[/tex] PQ , so

5x - 22 = [tex]\frac{1}{2}[/tex] (3x + 19) ← multiply both sides by 2 to clear the fraction

10x - 44 = 3x + 19 ( subtract 3x from both sides )

7x - 44 = 19 ( add 44 to both sides )

7x = 63 ( divide both sides by 7 )

x = 9

Then

PQ = 3x + 19 = 3(9) + 19 = 27 + 19 = 46

Answer:

Answer:

1. B 130 2/3ft^3

2. B 226 in^3

3. B 33 cm^3

4. A 4 m

5. D 15m

Step-by-step explanation:

I got a 100! For connexus students, hope this helps!!

Answer:

8900000 * 10^-3

Step-by-step explanation:

(8.9*10^-3)/(10^-6)

(8.9*10^-3)/(1/1000000)

8.9*10^-3* 1000000

8900000 * 10^-3

Answer:

3 1/25

Step-by-step explanation:

3.04

Do the decimal part first

.04 = 4/100

Reduce - cancel out 4

1/25

Put back the whole number

3 1/25

Answer:

3 [tex]\frac{1}{25}[/tex]

Step-by-step explanation:

I agree with the previous answer :

You need to do it part by part.

0.04 is equal to [tex]\frac{4}{100}[/tex]

[tex]\frac{4}{100}[/tex] simplified (we divide by 4 with both the denomantor and the numerator.) =

[tex]\frac{1}{25}[/tex]

And we still have those 3 wholes that we had in the beginning.

Now we add.

3 + [tex]\frac{1}{25}[/tex] = 3 [tex]\frac{1}{25}[/tex]

Answer:

nine $5 bills and twenty-eight $10 bills

Step-by-step explanation:

f = # of five dollar bills

t = # of ten dollar bills

system of equations:

t + f = 37

10t + 5f = 325

solve the first equation for 't' to get:

t = 37-f

substitute '37-f' to 't' in second equation to get:

10(37-f) + 5f = 325

370 - 10f + 5f = 325

-5f = -45

f = 9

t + 9 = 37

t = 28

Answer:

A

Step-by-step explanation:

Answer:

mary has 135 coins.

Step-by-step explanation:

let the coins that john has be x

and coin mary than = 3x

according to the question equation is

x + 3x = 180

4x = 180

x = 180 / 4

x = 45

coins mary has  = 3x

=3*45

=135

Answer: y=40

Step-by-step explanation: 70-30=40

Answer:

3 hours

Step-by-step explanation:

Let Tamar did the job for x hours,

Since, her charges for 1 hour = $ 8,

⇒  Her charge for x hours = 8x,

Also, the bus fare = $ 6,

hence, her total charge = Bus fare + Her charges for x hours

= 6 + 8x,

If the total charge is at least $30,

⇒ 6 + 8x ≥ 30

⇒ 8x ≥ 24

⇒ x ≥ 3

Thus, the minimum number of hours for a babysitting job she would accept = 3 hours

Hope this helps and if it does, don't be afraid to give my answer a "Thanks" and maybe a Brainliest if it's correct?  

Source: https://brainly.com/question/4172750

Answer:

12

Step-by-step explanation:

Answer:

m = 12, f = 3

So, there are 12 multiple-choice questions on the test.