1. Find the length of the hypotenuse. (1 point)
45°
3V5
O 12
05
O 18

Answer:

Distance between fence and diagonal piece = 7.48 feet (Approx.)

Step-by-step explanation:

Given:

Vertical fence height = 5 feet

Length of diagonal piece = 9 feet

Find:

Distance between fence and diagonal piece

Computation:

Using trigonometry theorem;

Base = √Hypotenuse² - Perpendicular²

Distance between fence and diagonal piece = √Length of diagonal piece² - Vertical fence height²

Distance between fence and diagonal piece = √9² - 5²

Distance between fence and diagonal piece = √81 - 25

Distance between fence and diagonal piece = √56

Distance between fence and diagonal piece = 7.48 feet (Approx.)

The natural world is full of relationships between quantities that change. When we see these relationships, it is natural for us to ask “If I know one quantity, can I then determine the other?” This establishes the idea of an input quantity, or independent variable, and a corresponding output quantity, or dependent variable. From this, we get the notion of a functional relationship in which the output can be determined from the input. For some quantities, like height and age, there are certain relationships between these quantities. Given a specific person and any age, it is easy enough to determine their height, but if we tried to reverse that relationship and determine age from a given height, that would be problematic, since most people maintain the same height for many years.

Therefore.....age is not a function of height!!

I HOPE I HELPED!!! HAVE AN AMAZING DAY/NIGHT!!! PLEASE MARK ME BRAINLIEST IF I HELPED YOU!!

Answer:

The answer is 126mm

~Please let me know if this is the correct answer! :-) If not, I'm sorry.~

Step-by-step explanation:

Answer:

D

30×5/6 = 25

Step-by-step explanation:

:))

what is the coordinate of the vertex for the following parabola:

-8 ( x - 5 ) = ( y + 1 ) ² (5, -1)

what is the coordinate of the focus for the following parabola:

-8 ( x - 5 ) = ( y + 1 ) ² (3, -1)

The vertex of the equation of a parabola [tex]- 8 (x - 5) = (y + 1)^2[/tex] by compared with the standard form of the equation of a parabola [tex]x = a (y - k)^2 + h[/tex] is,

⇒ (h, k) = (5, - 1)

Where, [tex](h, k)[/tex] is the vertex of the parabola.

We have to give that,

The equation of a parabola is,

[tex]- 8 (x - 5) = (y + 1)^2[/tex]

The standard form of the equation of a parabola is,

[tex]x = a (y - k)^2 + h[/tex]

Where, [tex](h, k)[/tex] is the vertex of the parabola.

Here, The equation of a parabola is,

[tex]- 8 (x - 5) = (y + 1)^2[/tex]

It can be written as,

[tex](x - 5) = \frac{(y + 1)^2}{-8}[/tex]

Add 5 on both sides,

[tex]x = \frac{(y + 1)^2}{-8} + 5[/tex]

Now, compare with the standard form of the equation of a parabola,

h = 5

k = - 1

Therefore, the vertex of the parabola is, (5, - 1).

To learn more about parabolas visit:

https://brainly.com/question/29635857

#SPJ4

Answer:

a-2/3b

Step-by-step explanation:

Answer: a -2/3b

Step-by-step explanation:

1/2a- 1/3b - 1/3b+1/2a= a

Answer:

V = 4800 cm^3

SA = 2000 cm^2

Step-by-step explanation:

V = l x w x h

V = 20 x 8 x 30

V = 4800 cm^3

20 x 8 x 2 = 320 cm^2

20 x 30 x 2 = 1200 cm^2

8 x 30 x 2 = 480 cm^2

320 + 1200 + 480 = 2000 cm^2

Answer:

y = [tex]\frac{4}{5}[/tex] x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = [tex]\frac{4}{5}[/tex] , then

y = [tex]\frac{4}{5}[/tex] x + c ← is the partial equation

To find c substitute (- 5, 2 ) into the partial equation

2 = - 4 + c ⇒ c = 2 + 4 = 6

y = [tex]\frac{4}{5}[/tex] x + 6 ← equation of line

Answer:

Below.

Step-by-step explanation:

Use the point-slope form of a straight line.

y - y1 = m(x - x1)

Here m = 4/5, x1 = -5 and y1 = 2, so

y - 2 = 4/5(x - -5))

y - 2 = 4/5 x  + 4

y = 4/5x + 6 is the answer in slope-intercept form.

Standard form:

Multiply through by 5:

5y = 4x + 30

4x - 5y = -30 is the answer in standard form.

Answer:

2a+11b

Step-by-step explanation:

Need like terms!

3a-a

=2a

7b+4b

=11b

Answer:

26°

Step-by-step explanation:

The angle 123° is on a straight line. All angles on a straight line add up to 180°, so the first thing you should do is subtract 123 from 180.

(180-123)

Now, your answer should be 57°, and that is equal to angle W.

You now know two angles. Angles in a triangle add up to 180°, too, so all you do now is the following:

97 + 57 = 154

180- 154 + 26

And there's your answer!

Answer:

C.

Step-by-step explanation:

If you think about it, it makes a little bit of sense. You pay $3.99 for the bag of cookies when the initial price was $4. To you, it sounds cheaper. But you're technically paying the same amount of cash as you would for the previous amount of cookies, as nobody in America keeps 99 cents in their pockets at all times, and 99 cents obviously rounds up to a dollar, so it's technically the same price as before. Overall, this would be essentially just a cheap marketing technique that they're using to get more money out of a larger group of people. If they're trying to get rid of old cookies, they wouldn't lower the price by just a cent, lowering the price by just a cent in order to improve the reviews might as well do the opposite, and paying an extra cent doesn't make much of a difference considering the old price.  So thus the answer is C.

Have a good rest of your day.

Answer:

4th is the answer

Step-by-step explanation:

Answer:

the measure of <ABD = 1/2 the measure of <ABC is the answer :)

Step-by-step explanation:

Answer:

A) 29 plants

B) $90.75

Step-by-step explanation:

A) Divide 79.75 by 2.75. It will give you the plant number.

B) Multiply 4 and 2.75 which should equal 11. Add that to 79.75.

Good Luck!!!!!!!

Answer:

how much wood do you need

Answer:

the answer is 24.

Step-by-step explanation:

Solve 3(8+5) first then once you get that subtract 15 from the answer you got.

Answer:

40

Step-by-step explanation:

1. Plug in the given value for n

6(5) + (5)2

2. Solve using PEMDAS

(I'm not sure if the 2 after the n is supposed to be squared, but if it was n^2 then the correct answer would be 55, I think)

30 + 10 = 40

Therefore, the answer is 40

Hope this helps :)

This is the graph you need to answer the question. (This is not the answer)

Help!

Answer:

x= square root (10); x=-square root (10) or 3.16 and -3.16

Step-by-step explanation:

Answer:

Step-by-step explanation:

1/12 = 0.0833

-1 = 0.000

Answer:

option d, because option a is about 135 degrees, and it isn't negative.

option d is the only choice which is between 90-180 degrees, and is also negative.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The opposite angles in a cyclic quadrilateral are supplementary, sum to 180°

∠ I + ∠ K = 180° , that is

91° + ∠ K = 180° ( subtract 91° from both sides )

∠ K = 89° → B

Answer:

Step-by-step explanation:

I think you meant y = -x^n, where ^ denotes exponentiation.

If n is odd, the graph begins in Quadrant II and decreases through the origin into Quadrant IV.  This is true of -x, -x^3, -x^5, and so on.

its the last one on edge

Answer: 5 outfits

Step-by-step explanation: 17.63x2=35.26

                                             437.63+35.26+18.11=491

                                              680-491=189

                                              189 divided by 35.19= 5 (rounded)

Answer:

QUESTION:

56 students signed up to go on the class trip. If this is 70% of the class, how many students are in the class?

ANSWER:

I believe that the answer is that there are 80 students in the class.

I divided 56 by 70% in my calculator and got 80.

Step-by-step explanation:

Hope that this helps you out! :)      

If you have any questions please put them in the comment section below this answer.      

Have a great rest of your day/night!      

Please thank me on my profile if this answer has helped you.

Answer:

80

Step-by-step explanation:

Answer:

b is the answer

Step-by-step explanation:

1km= 1000m

1hr =60sec

Answer:

1464

Step-by-step explanation:

12x122=1464

Answer:

43.96

Step-by-step explanation:warning might be wrong

Answer:

option c, 4/5