The student enrollment of South High School was 1,350 students in 1995 and increased by15% per year until 2010. Approximately how many students were enrolled at South HighSchool in 2010?

Answer: 9.3 in.

Step-by-step explanation:

Jacob wants to enlarge the larger side of the photo which is the 6 in. part, to becomes 14 in.

This means that Jacob wants to increase the larger side by a scale factor of:

= Length of enlarged picture / Length of original

= 14 / 6

= 2.33

2.33 is therefore the scale factor.

The shorter side will also increase by this same scale factor:

= 4 * 2.33

= 9.3 in.

Given:

[tex]\tan 8\theta =\cot 7\theta[/tex]

To find:

The value of [tex]\theta[/tex].

Solution:

We have,

[tex]\tan 8\theta =\cot 7\theta[/tex]

We know that, [tex]\cot \theta =\tan (90^\circ -\theta)[/tex].

Using the trigonometric property, we get

[tex]\tan 8\theta =\tan (90^\circ -7\theta)[/tex]

On comparing both sides, we get

[tex]8\theta =90^\circ -7\theta[/tex]

[tex]8\theta +7\theta=90^\circ [/tex]

[tex]15\theta=90^\circ [/tex]

Divide both sides by 15.

[tex]\theta=\dfrac{90^\circ}{15}[/tex]

[tex]\theta=6^\circ[/tex]

Therefore, the value of [tex]\theta[/tex] is 6 degrees.

The trip odometer reading will be between 378.3 km and 378.4 km. Nominally, it will read 378.3 km.

Answer:

the dishes sparkled after we washed them.

Step-by-step explanation:

Answer:

Sleeping - 30.2%

School - 17.6%

Homework - 0%

EC - 6.73%

Computer - 13.45%

Phone - 0%

Television - 1.68%

Excercise - 6.73%

Family time - 20.18%

Other - 3.36%

Step-by-step explanation:

hope this helps :)

Answer:

0.111111...

Step-by-step explanation:

Hi,

this function is stating that for any x the f is 9(3)^x.

SO if x was -4 it would be 9(3)^-4

Following order of operations we calculate the exponent first.

the answer is 0.1111111...

Answer:

1/3 x + 40 = 5/7 x

7x +(21)(40) = 15x

21*40 = 8x

x = 105cm3

Step-by-step explanation:

Step-by-step explanation:

[tex] \tt{} \frac{155}{18} \times 2[/tex]

[tex]\tt{} \frac{155}{9} [/tex]

[tex]\tt{}17 \frac{2}{9} \\ \\ \\ [/tex]

Your answer would be y=4sin(x+1)-2. That would be A.

The required function is y = 3 sin (x -2) + 1.

A relation between a collection of inputs and outputs is known as a function.

A mathematical phrase, rule, or legislation that establishes the link between an independent variable and a dependant variable (the dependent variable).

From the graph that is provided to us we observe that,

when x=2

then f(x)=1

Here, from the function y = 3 sin (x -2) + 1

So, when x=2

we get: y=1

Also,  all the other points are satisfied.

Learn more about Function here:

https://brainly.com/question/12801690

#SPJ7

Answer:

2022

Step-by-step explanation:

The duration of the loan David takes = 20 year loan

The amount David takes as loan = 70,000

The year David takes the loan = 2010

The year/loan balance relationship is y = -98·x² - 1,531·x + 69,710 (We note that the proper constant for the loan balance should be approximately 70,000, therefore the added zero)

Where;

x = The number of yeas

y = The balance

The year his loan balance will be $37,234.7, is given as follows;

37,234.7 = -98·x² - 1,531·x + 69,710

-98·x² - 1,531·x + 69,710 - 37,234.7 = 0

-98·x² - 1,531·x + 32,475.3 = 0

Factorizing with a graphic calculator, gives;

-98·(x - 11.998)·(x + 27.62) = 0

∴ x = 11.998 ≈ 12 or -27.62

The number of years it takes for the loan balance to be $37,234.7 = 12 years

Given that he took the loan in 2010, the loan balance will be $37,234.7 in 2010 + 12 = 2022

Answer:

Length = x - 4 meters

Step-by-step explanation:

Area of a rectangle = length × width

Area of a rectangle = x² - 16

width of the rectangle = x + 4 meters.

Length of the rectangle = ?

Recall:

Difference of two perfect square x² - 16 = (x + 4)(x - 4)

Area of a rectangle = length × width

(x + 4)(x - 4) = length * x + 4

Length = (x + 4)(x - 4) ÷ x + 4

Length = x - 4 meters

Answer:

lesser x = -10.32

greater x = -3.68

Step-by-step explanation:

Answer: c

Step-by-step explanation:

Answer:c

Step-by-step explanation: it makes the most sense

What is x equivalent to?

Answer:

(2,1)

Step-by-step explanation:

the best way to figure it out is with a graph

(-3,-9) to (4,5)

for the x

-3 to 4 is exactly 7 points away so you should count 5 over and stop.

for the y

-9 to 5 is exactly 14 points away so you should count in twos and stop at 5 sets of 2

hope this helps <3

Step-by-step explanation:

5(4× - 2)

5x4=20

5×2=10

Answer = 20x - 10

Answer:

20x-10

Step-by-step explanation:

Simply multiply.

5 × 4X = 20X

5× -2 = -10

Combine both

20X - 10

you showed no diagram or any picture / screenshot

Answer:

The scores in order from least likely to most likely is 8, 3, 4, and 5.

Step-by-step explanation:

1. Calculate the probability of the spinner adding up to 1, 2, 3, 4, .... 8

You will get:

2 (1/16)

3 (2/16)

4 (3/16)

5 (4/16)

6 (3/16)

7 (2/16)

8 (1/16)

2. Given the scores from the problem, the probability of each number is 3 (2/16), 4 (3/16), 5 (4/16), and 8 (1/16).

3. With this, we can determine the scores in order from least likely to most likely is 8, 3, 4, and 5.

Answer:

62

Step-by-step explanation:

Draw a line from the bottom of the 4 foot line straight across (horizontally) until it hits the vertical line on your left.

The two lines (the one you drew and the left vertical line) meet at right angles.

The upper figure is a rectangle.

Area = L * W

L = 5

W = 4

Area = 5 * 4

Area = 20

Now the bottom rectangle can be found the same way.

Area = L * W

L = 14

W = 3

Area = 14 * 3

Area = 42

The total area = 42 + 20

Total area = 62.

The comment was correct.

Answer:

C) (0,5)and(-4,5)

Step-by-step explanation:

Answer:

B. Symmetry

Step-by-step explanation:

They are symmetrical, meaning they are mirrored or both look the same.

Hope this helps! :)

Answer:

180

Step-by-step explanation:

to work out all possibilities you multiple the amount of options.

4x5x9=180

Answer:

[tex]y=8x, \\y=12x[/tex]

Step-by-step explanation:

Proportional functions can be written as [tex]y=kx[/tex], where [tex]k[/tex] is some constant of proportional. Since directly proportional functions always pass through the origin, the y-intercept must be 0 (no additional number before or after [tex]x[/tex] term). The only answers that fit this format are:

[tex]\rightarrow \boxed{y=8x}\\\rightarrow \boxed{y=12x}[/tex]

Answer: Y=8x

Step-by-step explanation:

Answer:

4 im correct I don't care i used my brain and guessed

Step-by-step explanation:

Answer:

the  range is 16 mode is 5 and median is 11

Step-by-step explanation:

u can cheat if u exit out of  the assignment and then keep trying

Step-by-step explanation:

• the area of circle M = 3.14×11² = 379.94

• the circumference of circle M =

2×3.14×11 = 69.08

• XY =√36²-11²=√1296-121=√1175=34.28

• L M = cos~¹ 11/36 = cos~¹0.3055 = 72.21°

• the area of triangle XY = ½×11×34.28

= 188.54

• the area of minor sector

= 72.21/360 × 379.94 = 76.20

• the minor arc from point X to

the point where YM intersects

withthe circle

= 72.21/360 × 69.08 = 13.86

Answer:

-16

Step-by-step explanation:

b^2 c^-1

We know that c^-1 can also we written as 1/ c

b^2 / c

Let b =8 and c = -4

8^2 / (-4)

64 / -4

-16

Answer:

Hello yes indeed I am here now vote me brainliest.

Step-by-step explanation:

Why you ask? well first I want it even though I did not do anything to help him/her even though, it is funny. :)

Answer:

1/5 of 30 = 6 hes left with 24

10% of 24 = 2.4 hes left with 21.6

he has 21.6/30 left

Multiply number of cakes by 1/5 and 10%

Sali = 30 x 1/5 = 20/5 = 6 cakes

Jane = 30 x 10% = 30 x 0.10 = 3 cakes

Total he kept = 30-6-3 = 21 cakes left

Answer:

answer b, SAS rule

Step-by-step explanation:

The ASA rule states that: If two angles and the included side of one triangle are equal to two angles and included side of another triangle, then the triangles are congruent.

Answer:

First one:

1², 2², 3² and so on (Square of 1,2,3,4,5,6,7.....)

Second one:

2, 13, 26, 41...

add 11, add 13, add 15 (add increasing odd numbers, beginning from 11)

Third one:

4, 14, 29, 49

+10, +15, +20 and so on (add the multiple of 5,beginning from 10)

Fourth one:

1, 8, 27, 64

1³, 2³, 3³, 4³ and so on(cube of 1,2,3,4,5,6,7.....)

Brainliest please