Which line on the graph below has an undefined slope?

P
Q
R
S

Answer:

[tex]\boxed {\boxed {\sf About \ 28.36 \ meters }}[/tex]

Step-by-step explanation:

Assuming the tree is perpendicular to the ground, we can use the right triangle trigonometric ratios to find the tree's height.

Now, let's draw a diagram. We know Aiko is 5 meters from the base of the tree. From there, the angle to the top of the tree is 80 degrees. We are looking for x, the tree's height. The diagram attached is not to scale.

We base the sides off of the angle. x is opposite of 80 degrees and 5 is adjacent. Therefore we must use tangent.

[tex]tan(\Theta)=\frac{opposite}{adjacent}[/tex]

Substitute in the known variables.

[tex]tan(80)=\frac{x}{5 \ m }[/tex]

We want to find x, the height of the tree. Therefore we need to isolate that variable.

x is being divided and the inverse operation is multiplication. Multiply both sides of the equation by 5 meters.

[tex]5 \ m* tan(80)=\frac{x}{5 \ m }* 5 \ m[/tex]

[tex]5 \ m* tan(80)=x[/tex]

[tex]5 \ m *5.67128182=x[/tex]

[tex]28.3564091 \ m = x[/tex]

The question asks for an approximation, so let's round to the nearest hundredth.

The 6 in the thousandth place tells us to round the 5 to a 6.

[tex]28.36 \ m \approx x[/tex]

The tree is about 28.36 meters tall.

9514 1404 393

Answer:

  ∠16 = 47°

Step-by-step explanation:

Vertical and corresponding angles are congruent. The remainder are supplementary to those.

∠1≅∠4≅∠5≅∠7≅∠10≅∠12≅∠13≅∠15 = 133°

∠2≅∠3≅∠6≅∠8≅∠9≅∠11≅∠14≅∠16 = 47°

Answer:B

Step-by-step explanation:

It's 116.09

Answer:

A

Step-by-step explanation:

we can conclude from the second equation that when

2x + y = 6 then y = 6 - 2x. so instead of y in the first equation we use 6 - 2x.

now the equation would look like this : 6 - 2x = x^2 - 4x + 3 .

then we bring everything to one side of the equation : x^2 - 2x - 3 .

now we'll have two results for x ( because x^2 - 2x - 3 = 0 has 2 answers )

one of them is -1 and other one is 3.

if we put them in the first equation we will have 8 and 0 for y.

so A is the answer

Step-by-step explanation:

Use the compound interest formula:

A = P( 1 + r/n)^nt

A is the amount at the end

P is the principal or original amount.

R is annual rate as a decimal (you have to convert)

N is the # of compounding periods in a year (quarterly means 4)

T is time in years

A = 500( 1 + 0.0475/4)^(4×20)

This would be $1285.64 when fully computed.

Answer:

x=5

Step-by-step explanation:

substitute y to the first expression

4x-5(x-6)=25

4x-5x+30=25

-x=25-30

-x=-5

times left and right hand side with minus youll get

x=5

9514 1404 393

Answer:

  a6 = -196,608

Step-by-step explanation:

The general term of a geometric sequence with first term a1 and common ratio r is given by ...

  an = a1·r^(n-1)

For a1 = 6, r = -8, and n = 6, we find the 6th term to be ...

  a6 = 6·(-8)^(6-1)

  a6 = -196,608

Answer:

a) SPAZ is equilateral.

b) Diagonals SA and PZ are perpendicular to each other.

c) Diagonals SA and PZ bisect each other.

Step-by-step explanation:

At first we form the triangle with the help of a graphing tool and whose result is attached below. It seems to be a paralellogram.

a) If figure is equilateral, then SP = PA = AZ = ZS:

[tex]SP = \sqrt{[4-(-4)]^{2}+[(-2)-(-4)]^{2}}[/tex]

[tex]SP \approx 8.246[/tex]

[tex]PA = \sqrt{(6-4)^{2}+[6-(-2)]^{2}}[/tex]

[tex]PA \approx 8.246[/tex]

[tex]AZ =\sqrt{(-2-6)^{2}+(4-6)^{2}}[/tex]

[tex]AZ \approx 8.246[/tex]

[tex]ZS = \sqrt{[-4-(-2)]^{2}+(-4-4)^{2}}[/tex]

[tex]ZS \approx 8.246[/tex]

Therefore, SPAZ is equilateral.

b) We use the slope formula to determine the inclination of diagonals SA and PZ:

[tex]m_{SA} = \frac{6-(-4)}{6-(-4)}[/tex]

[tex]m_{SA} = 1[/tex]

[tex]m_{PZ} = \frac{4-(-2)}{-2-4}[/tex]

[tex]m_{PZ} = -1[/tex]

Since [tex]m_{SA}\cdot m_{PZ} = -1[/tex], diagonals SA and PZ are perpendicular to each other.

c) The diagonals bisect each other if and only if both have the same midpoint. Now we proceed to determine the midpoints of each diagonal:

[tex]M_{SA} = \frac{1}{2}\cdot S(x,y) + \frac{1}{2}\cdot A(x,y)[/tex]

[tex]M_{SA} = \frac{1}{2}\cdot (-4,-4)+\frac{1}{2}\cdot (6,6)[/tex]

[tex]M_{SA} = (-2,-2)+(3,3)[/tex]

[tex]M_{SA} = (1,1)[/tex]

[tex]M_{PZ} = \frac{1}{2}\cdot P(x,y) + \frac{1}{2}\cdot Z(x,y)[/tex]

[tex]M_{PZ} = \frac{1}{2}\cdot (4,-2)+\frac{1}{2}\cdot (-2,4)[/tex]

[tex]M_{PZ} = (2,-1)+(-1,2)[/tex]

[tex]M_{PZ} = (1,1)[/tex]

Then, the diagonals SA and PZ bisect each other.

Answer:

m = 1

Step-by-step explanation:

We can use the x & y intercepts.

Rise = 2

Run = 2

m = Rise/Run = 2/2 = 1

Answer:

its the second one

Step-by-step explanation:

it's the only one where the x number dosent repeat

Answer:

2

Step-by-step explanation:

2

Answer:

28 gallons.

Step-by-step explanation:

1/5 is 20% of the container's full capatcity.

7/10 is 70% of the container's full capatcity.

20% - 70% = 50%

By adding 14 gallons of water, the container's water went up by 50%.

If we multiply 14 by 2, we will know what the container can hold at 100% capatcity.

14 x 2 = 28

Answer:

0A and C

Step-by-step explanation:

Please mark me brainlist

Answer:

Step-by-step explanation:

Do you mind telling me what grade you are in? Oh and can you take a better picture?

Answer:

Step-by-step explanation:

I know because I just did it on an assignement and it said these were the right answers.

In this exercise we have to use knowledge of direction and congruent lines to identify which objects have these characteristics, so we can say that:

Rectangular Prism

Cube

Cylinder

Triangular pyramid

First we have to remember the definition of congruent lines, such as:

From this we can now identify these figures as:

See more about congruent at brainly.com/question/24887947

Answer:

1

Step-by-step explanation:

Answer:

B.56

Step-by-step explanation:

Answer:

down below

Step-by-step explanation:

k) 1 and 22/48

l)124/26

m)68/20

n)2 and 5/10

o)2 and 18/19

please give me brainliest!!!<3

Answer:

abcdefghijklmnopqrstuvwxyz

Answer:

We are given

We are also given  and , which allows us to rewrite the equation as

(I substituted every "b" with "a" and every "c" with "9").

The solutions to this quadratic equation are -25 and 7. We discard -25 because a side with negative length would make no sense.

The required measure of side a of the rectangular prism is a = 9.3 meters.

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

Here,
SA = 2ab + 2bc + 2ac
434 = 2a² + 14a + 14a
434 = 2a² + 28a
2a² + 28a - 434 = 0
a² + 14a - 217 = 0
a² + 14a + 49 - 49 - 217 = 0
(a + 7)² = 266
a = 9.3 or a = -23.3

Since the negative measure of length can be neglected.
a = 9.3 = b

Thus, the required measure of side a of the rectangular prism is a = 9.3 meters.

Learn more about the surface area here: https://brainly.com/question/2835293

#SPJ5

Answer: first try seeing what she wants and if that doesn’t work. either put on her favorite show with some snacks or go somewhere where you know she can’t find you. ☺️

Step-by-step explanation:

answer:

- 3   3/5

7/5-5/1 = 18/5

18/5 = - 3  3/5

Answer:

I think it's D:)

Step-by-step explanation:

Answer:

the price of a medium pizza without a coupon is 14.73

Step-by-step explanation:

The computation of the price of a medium pizza without a coupon is given below:

Given that

The Price of medium pizza be 10.31 after considering the 30% off coupon

That means it is 70% value

So the 100% value would be

= 10.31 × 1 ÷ 0.70

= 14.73

hence, the price of a medium pizza without a coupon is 14.73

Answer:10000

Step-by-step explanation:

Remember that log x and 10^x are inverse functions.

If you have log x = 4 and want the value of x, write this out:

log x 4

10 = 10

This simplifies to:

x = 10^4, and so the fourth answer choice is the correct one.

Answer: 20.77%

Step-by-step explanation:

There are 52 cards in a standard deck. Out of these cards, there are 12 face cards. Thus, the probability of drawing a face is 12/52.

On a 20-sided dice, there are 20 options of numbers to roll. Out of these 20 numbers, 18 of the numbers are greater than or equal to 3, making the probability 18/20, or 9/10.

To find the probability of two events, you need to multiply the probabilities together. Thus, you need to multiply 12/52 by 9/10.

(12/52) * (9/10) = 27/130

27/130 is about equal to 0.2077, or a 20.77% probability.