these numbers form an addition and subtraction fact family 6,7,13 what is the correct answer​

Answer:  approximately 7525 feet

A more accurate value is 7,524.6679636332 feet, but even that isn't fully exact.

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Explanation:

The change in height, or delta height value, is 11200-9000 = 2200 which is the vertical component of the right triangle shown below. This side is opposite the reference angle, aka the angle of elevation 17°

The hypotenuse is x, which is the length of the trail. Assume we're dealing with a flat and straight surface. Of course realistically the ground is very likely going to be bumpy with various curved complexities; but we'll simplify things greatly.

We'll use the sine ratio to find x.

sin(angle) = opposite/hypotenuse

sin(17) = 2200/x

x*sin(17) = 2200

x = 2200/sin(17)

x = 7,524.6679636332

Assuming your teacher wants you to round to the nearest whole number, then we'd get to 7525 feet

We need Hypotenuse

[tex]\\ \rm\rightarrowtail sin\theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]\\ \rm\rightarrowtail sin17=dfrac{2200}{h}[/tex]

[tex]\\ \rm\rightarrowtail h=2200/sin17[/tex]

[tex]\\ \rm\rightarrowtail h=2200/0.2923[/tex]

[tex]\\ \rm\rightarrowtail h=7526.51ft[/tex]

Answer:

[tex]z \leqslant 29[/tex]

Step-by-step explanation:

[tex] - z \geqslant - 6 - 23[/tex]

[tex] - z \geqslant - 29[/tex]

[tex]z \leqslant 29[/tex]

Answer:

No solutions

Step-by-step explanation:

[tex]y''+4y'+4y=0,\:y(0)=1,\:y'(0)=1\\\\m^2+4m+4=0\\\\(m+2)(m+2)=0\\\\m=-2[/tex]

Thus, since we have equal real roots, we use the general solution [tex]y(x)=C_1e^{m_1x}+C_2e^{m_1x}[/tex] and our initial conditions to set up our system of equations:

[tex]y(x)=C_1e^{-2x}+C_2e^{-2x}\\\\y(0)=C_1e^{-2(0)}+C_2e^{-2(0)}\\\\1=C_1+C_2[/tex] <-- First one

[tex]y(x)=C_1e^{-2x}+C_2e^{-2x}\\\\y'(x)=-2C_1e^{-2x}-2C_2e^{-2x}\\\\y'(0)=-2C_1e^{-2(0)}-2C_2e^{-2(0)}\\\\1=-2C_1-2C_2[/tex] <-- Second one

Solve the system

[tex]C_1+C_2=-2C_1-2C_2\\\\3C_1+3C_2=0\\\\3C_1=-3C_2\\\\C_1=-C_2[/tex]

[tex]1=C_1+C_2\\\\1=-C_2+C_2\\\\1=0[/tex]

Therefore, there are no solutions to the differential equation given the initial conditions.

Answer:

it can be simplified to Y^(-5)X^(-2)

Step-by-step explanation:

So the exponents can be added because the terms are all being multiplied:

For Y: (-8)+(3)=(-5)

For X: (0)+(-2)=(-2)

So the simplified answer is Y^(-5)X^(-2)

That is also the same as 1/[(x^5)(y^2)]

Does that answer the question?

Answer:

C is right ಠ_ಠ

Answer:

Hi , your answer is V = 4/3 πr³.

Hope this helps

Answer:

Step-by-step explanation:

20.3 Yw :)

Answer:

E)

Step-by-step explanation:

It cannot be decided from the information given as we have only been given the side lengths of each of the squares.  We have not been told at what point along each side length the other square intersects, nor have we been told the angle at which the squares intersect each other.   We would need this information to be able to calculate the specified area.

Diagram is note done perfect according to question .

Use the shortcut trick mentioned below while these cases come .

Area left(Black part)=Area of biggest square- area of rest squares drawn

Now

Area left:-

[tex]\\ \rm\rightarrowtail 7^2-(5^2+3^2)[/tex]

[tex]\\ \rm\rightarrowtail 7^2-(25+9)[/tex]

[tex]\\ \rm\rightarrowtail 49-34[/tex]

[tex]\\ \rm\rightarrowtail 15cm^2[/tex]

Answer:

(-1, 16), (3, 12)

These are my examples so if you want you can do different solutions, too!

Step-by-step explanation:

It may sound weird, but there are infinitely many solutions to a linear equation. It's basically all real numbers that are on the line.

So, just choose two random numbers for the x-value and substitute in into the equation. I'm going to use -1 and 3.

x = 15 - y

when x = -1

-1 = 15 - y

y = 16

(-1, 16)

when x = 3

3 = 15 - y

y = 12

(3, 12)

Answer:

Step-by-step explanation:

hello :

if y=0    so x= 15  and  if : x=0   so y = 15

you have  two solutions : (15;0)  and (0;15)

Answer:

The smaller number is 23.

The bigger number is 131.

Step-by-step explanation:

"difference" means subtraction. In this question "more than" means adding. This can be done with one variable. And would take more reasoning with the meaning of the words, but less complicated algebra.

If you are learning systems of equations in high school or college, then you may want to use two variables. The set up is way more straight forward. But then you also need strategies to solve a system of equations.

There are two solutions attached. You only need one that matches the math you are studying. see images.

Answer:

It's either 108 or 54, the area is 54 in^2 and the volume of the frame is 108^3

Step-by-step explanation:

Volume (if that is what its asking) would be 54 in^2

Answer:

m = 25 and b = 599

Step-by-step explanation:

the m represents month while the B represent buy that means when he bought a tablet

=> m = 25 and b = 599

     Our m will be 25 because every month she pays $25 for the data plan, increasing it by 25.

     Our b will be 599 because the tablet started out at $599 dollars.

m = 25 and b = 599, the third option

Answer:

Step-by-step explanation:

Answer:

≈$12601.72

Step-by-step explanation:

Use the compounded interest formula:

[tex]A = P(1+\frac{r}{n})^{nt}[/tex]

In our case,

P = 3000

r = 8% = 0.08

n = 12 (months per year)

t = 18 (years in total)

Therefore, A ≈ $12601.72 (2.d.p.)

Answer:

The value of X is 1

Step-by-step explanation:

Trust me i did this already.

Answer:

x=3

Step-by-step explanation:

we can use the  pythagora thearom as it is a right angled triangle.

[tex]a^{2} +b^{2} =c^{2}[/tex]

so in this example it would be like this

[tex]x^{2} +x^{2} =(3\sqrt{2})^{2}[/tex]

so lets simplify it to this

[tex]2x^{2} =18[/tex]

now all thats left is to get x on its own

[tex]x^{2} =9[/tex]

[tex]x=+or-3[/tex]

x cant be -3 so x =3

Answer:

(x, y) ==> (-4, -3)

Step-by-step explanation:

-2(3x + y = -15) ==> -6x - 2y = 30

3x + 2y = -18

-6x - 2y = 30

3x + 2y = -18

-3x = 12

/-3    /-3

x = -4

Now, we solve for y:

-6x - 2y = 30

-6(-4) - 2y = 30

24 - 2y = 30

-24        -24

-2y = 6

/-2    /-3

y = -3

(x, y) ==> (-4, -3)

Hope this helps!

Answer:

u⁷

Step-by-step explanation:

When multiply variables with exponents , all you do is add the exponents

so,

our powers are 3,3,1 (because no exponent means to the power of 1)

Adding the powers is 7

so u⁷

Answer:

[tex]u^{7}[/tex]

Step-by-step explanation:

In exponent multiplication, if  bases are same just add the exponents.

[tex]a^{m}*a^{n}=a^{m+n}\\\\\\u^{3}*u^{3}*u = u^{3+3+1}=u^{7}[/tex]

Answer:

Infinitely Many Solutions

Step-by-step explanation:

There can be infinite solutions to this problem

Here are some examples

3   4

6   8

12  16

24 32

48   64

96   128

To get a solution, just multiply both numbers by the same term. I multiplied by 2 each.

Hope this helps :)

-jp524

Answer:

[0,10]

Step-by-step explanation:

The domain unit is seconds.

Time can't be negative so x is greater than or equal to zero.

The time here stops after 10 seconds. So our domain is

Since time will start at 0 and end at 10,we use a bracket.

[0,10]

Answer:

$49

Step-by-step explanation:

16 - 9 =7

7 x 7 = 49

he would make $49.

Answer:

Slope m = [tex]\frac{5}{8}[/tex]

Step-by-step explanation:

[tex]x_{1}=-6\\ y_{1}=-4\\\\x_{2}=2\\y_{2}=1\\\\[/tex]

def. of slope = rise over run

[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{2}}[/tex]

so:

[tex]\frac{1-(-4)}{2-(-6)} = \frac{1+4}{2+6} = \frac{5}{8}[/tex]

We get [tex]\frac{5}{8}[/tex] as our slope

The slope of the line in the graph is 5/8.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

As we observe the graph the line is passing from points (-6, -4) and (2, 1)

Slope = 1+4/2+6

=5/8

Hence, the slope of the line in the graph is 5/8.

To learn more on slope of line click:

https://brainly.com/question/16180119

#SPJ7

Answer:

BB

Step-by-step explanation: Because I did it

Answer: A

Step-by-step explanation:

Suppose ABC be a triangle such that ∠A = 4x + 7 ,

∠B = 3x + 5 & ∠C = 6x + 12

We know, the sum of interior angles of a Triangle is 180°, therefore, ∠A + ∠B + ∠C = 180°

or, 4x + 7 + 3x + 5 + 6x + 12= 180°

or, 13x = 180 - 24

or, x = 156/ 13 = 12

Answer:

9 is added by 4 times y is the correct answer.

The given option don't describe the expression 4y+9

Answer:

675 packages

Step-by-step explanation:

You multiply 15 x 45 to get 675

if 1 treat per 15 bags is correct

Answer:

See explanation below.

Step-by-step explanation:

First I'm going to find angle 2. Angle two plus 55 is equal to 115. 180-115=65. 65-55=10 Angle 2 = 10

Next, we can find angle 3. 55+10=65. 180-65=115. Angle 3 = 115

Angle 2 is equal to angle 5, angle 3 is equal to angle 6, and angle 4 is equal to 55.

Angle 5 = 10

Angle 4 = 55

Angle 6 = 115

Now we can find angle 8. 180-115=65. Angle 8 = 65

Angle 11 = 65

Angle 12 = 115

10+115=125 Angle 10 = 125

180-125 = 55 Angle 9 = 55

Angle 14 = 55

Angle 13 = 125

Answer:

<8, <5, <10 are 65 degrese

Step-by-step explanation:

oki, so, 55+m<2 must be 115 because 115 is a corresponding angel to 55+<2 meaning they are =, so m<2=115-55, m<2=60.

m<3 must then = 65 because line a phase a 180 angle (assuming a and b are parallel)

<3 is also corresponding to angle <10 so by the transitive property m<10=65.

m<8 must then = 65 because the angle of line b in 180, and the transversal cuts 115, 180-115=65.

whoops, then finally 5 is vertical from <2 so it is congruent, so <2 must be 65, so all angles are 65 degrees.

Answer:

1:4

Step-by-step explanation: 750/3000 = 1/4 = 1:4