Identities in maths 4sin30°cos45° What is the answer?

Answer:

157.48

Step-by-step explanation:

1 metre = 39.37 inches(Approx.)

=> So, 4 metres= 4 * 39.37 = 157.48

Answer:

158in

Step-by-step explanation:

1m = 39.37

So,

4m = 4*39.37

     = 157.48 = 157.5 = 158in

Answer:

1. Rotation

2. Reflection

3. Translation

Explanation:

1. Rotate figure A to the right it would match figure B

2. Imagine folding figure A down it would match figure B

3. Move figure A down and right and it would match figure B

Answer: dollars

Step-by-step explanation:

Mean means average and it's calculated by adding the numbers given and then dividing the sum by the amount of numbers that were given.

The standard deviation shows the amount of dispersion or amount of variation of a given set of values. From the question, the only unit of measurement we can see is the dollar sign($).

Answer: (k+k)(4)=28

Step-by-step explanation:

(k+k) (4) means the same as adding k(4) and k(4). Since we are given k(x), we can use it to solve. There are two ways to solve. One is to find k(4), and then add them. Another way is to do (k+k)(x), then plug in x=4. I will show both methods.

Method 1

k(4)=5(4)-6                  [multiply]

k(4)=20-6                    [subtract]

k(4)=14                    

(k+k)(4)=14+14            [add k(4) and k(4)]

(k+k)(4)=28

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

Method 2

(k+k)(x)=5x-6+5x-6     [combine like terms]

(k+k)(x)=10x-12

(k+k)(4)=10(4)-12         [plug in x=4, multiply]

(k+k)(4)=40-12             [subtract]

(k+k)(4)=28

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

Now, we know that (k+k)(4)=28. We confirmed this with both methods.

Answer:

i awnsered 4.2^(-3)*5.1^(2)*4.2^(4)*5.1^(3)

Step-by-step explanation:

14491.060542

This is all i have............................

Answer:

Salamander trail is longer than great oaks trail.

Step-by-step explanation:

We have the data from two different maps of the same park.

In the first map the length of great oaks trail is 4.5 cm

The scale from the park to the map is 36 mi to 6 cm ⇒

We can find the real length of great oaks trail writing the following equivalence :

[tex]\frac{36mi}{6cm}=\frac{x}{4.5cm}[/tex]

Where x is the real length of great oaks trail ⇒

[tex]x=\frac{(36mi).(4.5cm)}{6cm}=27mi[/tex]

We find that the real length of great oaks trail is 27 mi

In the second map the length of salamander trail is 3.5 cm

The scale from the park in the second map is 24 mi to 3 cm.

Again we can find the real length of salamander trail writing the equivalence :

[tex]\frac{24mi}{3cm}=\frac{y}{3.5cm}[/tex]

Where y is the real length of salamander trail ⇒

[tex]y=\frac{(24mi).(3.5cm)}{3cm}=28mi[/tex]

We find that the real length of salamander trail is 28 mi.

Therefore salamander trail is longer than great oaks trail.

Answer:

Each share gained $0.10, which is an 11.76% increase (10/85).

The profit if the share is sold at $0.95/share, is $1000 and this can be determined by using the arithmetic operations.

Given :

The following steps can be used in order to determine the profit if the share is sold at $0.95/share:

Step 1 - The arithmetic operations can be used in order to determine the profit if the share is sold at $0.95/share.

Step 2 - According to the given data, the cost of 10000 shares of a stock is $0.85 a share. So, let the total cost of 10000 shares be 'x'. So, the value of 'x' is:

[tex]x = 10000\times 0.85\\x = \$8500[/tex]

Step 3 - Now, after one year the shares price is $0.95 a share. So, let the cost of 10000 shares after one year be 'y'. So, the value of 'y' is:

[tex]y = 10000\times 0.95\\y = \$9500[/tex]

Step 4 - So, the profit if the share is sold at $0.95/share, is:

[tex]P = y-x[/tex]

[tex]P= 9500-8500[/tex]

[tex]P= \$1000[/tex]

Therefore, the profit if the share is sold at $0.95/share, is $1000.

For more information, refer to the link given below:

https://brainly.com/question/1494270

Answer:

Step-by-step explanation:

Cube root of 27/cube root of 125

=3/5

Answer

False

Step-by-step explanation:

Cause i got it right on edge :)

Answer:

False

Step-by-step explanation:

you multiply .042 to 63.79 because 4.2 is the percentage.

Answer: 875 square feet

Step-by-step explanation: none atm

Answer:

Count houw many boxes the linegoes over

Step-by-step explanation:

Answer:

please mark my answer brainliest

Step-by-step explanation:

it can be solved by using Pythagoras theorem

Answer:

230

Step-by-step explanation:

use the multiplication property, it doesn't matter what wa ugh you do it because multiplication is on both sides

Answer:

100

Step-by-step explanation:

n(u)=120  total people in survey

n(c)=97     people carrying cell phone

n(t)=12     people carrying tablet

n(c∩t)=9  people carrying both tablet and cell phone

n(c∪t)=?   people carrying cell phone or tablet

now,

n(c∪t)= n(c)+n(t) - n(c∩t)

         = 97+12-9

          =109-9

          =100

there fore the number of people carrying cell phone or tablet = 100

Answer:

the answer is d i think try it.

Answer:

x² - 8x + 16

Step-by-step explanation:

Step 1: Write out expression

(x - 4)²

Step 2: Expand

(x - 4)(x - 4)

Step 3: FOIL

x² - 4x - 4x + 16

Step 4: Combine like terms

x² - 8x + 16

Answer:

The student needs a minimum score of 81 on the fourth test to ensure a grade of at least a C in the class.

Step-by-step explanation:

Remember what an average is. (Look at the hint at the bottom of the problem.)

To find the average of a set of numbers, add all the numbers and divide by the number of numbers.

For example, if in a class you took 8 tests, the average of the 8 tests is the sum of the 8 scores divided by 8.

In this case, the student took 3 tests and is taking one more, so in the end there will be 4 scores. The number of tests is 4.

We know 3 of the 4 scores. We don't know the fourth score because he has not taken the test yet, so we use a variable to represent the unknown score. Let's call the score of the fourth test x.

To find the average of the 4 scores, we add them and divide the sum by 4.

The three known scores are 63, 62, 74.

The unknown score is x.

Add all 4 scores: 63 + 62 + 74 + x.

Now we divide the sum of the 4 scores by 4 to find the average of the 4 scores.

[tex] \dfrac{63 + 62 + 74 + x}{4} [/tex]

The expression above is the average of the 4 scores. We want the average to be at least 70, so we need the average to be greater than or equal to 70.

We get this inequality.

[tex] \dfrac{63 + 62 + 74 + x}{4} \ge 70 [/tex]

Now we solve the inequality for x.

Add like terms in the numerator.

[tex] \dfrac{199 + x}{4} \ge 70 [/tex]

Multiply both sides by 4.

199 + x = 280

Subtract 199 from both sides.

x = 81

Answer: The student needs a minimum score of 81 on the fourth test to ensure a grade of at least a C in the class.

Answer:

V'= ( 5,2 )

U'= ( 8,2 )

T'= ( 7,12 )

S'= ( 3,12 )

Answers:

Check out the diagram below

===================================================

Explanation:

When reflecting over horizontal lines like this, the x coordinate stays the same as the original point. Only the y coordinate changes.

To find what the y coordinate changes to, we need to measure the vertical distance from the point to the line. Point S has a y coordinate of y = -5 and the vertical distance to the line of reflection (y = 1) is |-5-1| = |-6| = 6 units. So we move 6 units up to go from point S to the line of reflection. We must move another 6 units to get to the location for S' where its reflected point would end up, which has y coordinate y = 7.

The same applies for the other points as well. Point T also goes up 6 units to get to y = 1, then it moves another 6 units to get to y = 7

Points V and U only move up 1 unit to get to the green dotted line of reflection. So they'll move only one additional unit to have their reflected points have y coordinates of y = 2.

The diagram hopefully visually summarizes everything discussed so far. The mirroring line cuts the distance from S to S' in half, same for T to T', and so on.

Answer:

I hope you understood it.

Answer:

The numerical length of UW is 27

Step-by-step explanation:

Answer:

Step-by-step explanation:

For (a), you will use that 2 points that are closest to lying on the line which are the points located at (1, 14) and (7, 7).

For (b), you will use those 2 points to find the slope of the line using the slope formula:

[tex]m=\frac{7-14}{7-1}=\frac{-7}{6}=-1.167[/tex]

For (c), you will use point-slope form to write the equation. Point-slope form is

[tex]y-y_1=m(x-x_1)[/tex] where x and y stay x and y in the equation and x1 and y1 are replaced with one of the coordinates. Let's use (7, 7). Keep in mind that IT DOESN'T MATTER WHICH POINT YOU PICK...YOU WILL GET THE SAME EQUATION WITH EITHER ONE! And this is because both those points lie on the same line...the line for which we will write the equation.

We have m = -1.167, y = 7 and x = 7:

y - 7 = -1.167(x - 7)

That's the point-slope form of the line, but rarely is it ever left in that form. I've only seen it left in point-slope form in calculus. Most of the time, from point-slope form, you are asked to put it into slope-intercept form, and here is no exception. Putting the equation into slope-intercept form is the same thing as solving it for y. So let's get y all by itself on one side of the equals sign and everything else over on the other side. We also of course need to distribute into the parenthesis:

y - 7 = -1.167x + 8.169 and

y = -1.167 + 8.169 + 7 so

y = -1.167 + 15.169

That's your equation in slope-intercept form, so you're done!

Answer:

EF = 10

Step-by-step explanation:

DE + EF = DF

5x + x + 8 = 20

6x = 20 - 8

6x = 12

x = 12/6

x = 2

EF = x + 8 = 2 + 8 = 10

Answer:

[tex]a_{n}[/tex] = 30 - 5n

Step-by-step explanation:

There is a common difference between consecutive terms, that is

20 - 25 = 15 - 20 = 15 - 20 = 10 - 15 = 5 - 10 = - 5

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 25 and d = - 5, thus

[tex]a_{n}[/tex] = 25 - 5(n - 1)

    = 25 - 5n + 5

    = 30 - 5n