A hiker is descending 152m every 8 minutes what will be hikers change in elevation in half an hour? what as an integers​

Answer:

[tex]\angle LMK\sim \triangle KMJ \sim \triangle LKJ[/tex]

Step-by-step explanation:

In the right triangle shown, two right triangles are inscribed in a third right triangle, with all three triangles sharing an altitude. Thus, all three right triangles are similar.

The second portion asks to draw them so that their corresponding sides and angles have the same orientation. I can't demonstrate that here but here are some tips:

Here is an example of the drawing portion from the CK-12 Foundation:

Answer:

Solution given:

In triangle LMK and triangle LKJ

<LMK=<JMK[ being right angle]

<MLK=<JLK[common angle]

<MKL=<LJK[remaining angle]

so

∆MLK~ ∆MLJ[By A.A.A.axiom]

∆MLK is similar to ∆MLJ

First of all we have to find the cost of a book then multiply it by 5 :

$ 11.20 ÷ 8 = $ 1.4

$ 1.4 × 5 = $ 7

Thus 5 books have a cost of $ 7 .

Answer:

The cost of 5 books is $7

Step-by-step explanation:

If there are 8 books and you need to find the cost of 5, you need to first find the cost for one book.

If 8 books cost 11.20.

11.20 ÷ 8 = 1.40

1.40 is the cost of one book

1.40 x 5 = 7

So the cost of 5 books is $7

I tried my best to explain

Answer:

72

Step-by-step explanation:

67+5= 72

Answer:

3:15 cause a mirror cant change time

Step-by-step explanation:

go in ur mirror and look at the time did it somehow get darker or lighter???

Answer:

8:45 i think

Step-by-step explanation:

Answer:

(2,5)

Step-by-step explanation:

y= 4x-3

y=-2x+9

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

 4x-3=-2x+9

6x-3=9

6x=12

x=2

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

y = 4(2)-3

y =8 -3

y=5

(2,5)

Answer:

1st box: 6x - 3 = 9

2nd box: 6x = 12

3rd box: x = 2

4th box: y = 4(2) - 3

5th box: y = 8 - 3

6th box: y = 5

Step-by-step explanation:

Part A-

1) 4x-3 = -2x+9

2) 4x+2x -3 = -2x+2x + 9

3) 6x -3 = 9

4) 6x -3+3 = 9+3

5) 6x = 12

6) 6x/6 = 12/6

7) x = 2

Part B-

1) y=4x-3

2) y=4(2)-3

3) y=8-3

4) y= 5

Therefore, x = 2 and y = 5.

Uh, I think I did this one… good luck ;p

Answer:

[tex]x=14[/tex]

Step-by-step explanation:

The given triangle is a right triangle, meaning it is a triangle with a right angle, this is indicated by the box around one of the angles. When given a right triangle, one can use the right triangle trigonometric ratios. These ratios describe the relationship between an angle in a right triangle, and the sides in a right triangle. Such ratios are as follows,

[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]

Bear in mind that the way one names the sides, in the sense of (opposite or adjacent) will change based on the angle one uses to describe the triangle. However, the hypotenuse is the same no matter the angle, as the hypotenuse is the side opposite the right angle.

In this case, one is given one of the angles, and the side opposite the angle. One is asked to find the hypotenuse of the triangle. One can use the sine (sin) ratio to achieve this.

[tex]sin(\theta)=\frac{opposite}{hypotenuse}[/tex]

Substitute,

[tex]sin(30)=\frac{7}{x}[/tex]

Inverse operations,

[tex]x=\frac{7}{sin(30)}[/tex]

Simplify,

[tex]x=14[/tex]

Answer:

You get 6 dollars per car

Step-by-step explanation:

I divided 30 by 5

Answer: $6 per car

Step-by-step explanation:

If it's 30 dollars for 5 cars and we want to know how much it is for 1 car we need to divide both by 5

[tex]\frac{30}{5} =6\\\frac{5}{5} =1[/tex]

$6 per one car

Answer:

[tex]f(t) =-\frac{1}{20} t + 12[/tex]

Step-by-step explanation:

Given

[tex]t \to time[/tex]

[tex]f \to figurines[/tex]

Required

Determine the function

From the question, we have:

[tex]60\ minutes \to 9\ left[/tex]

This is represented as:

[tex]f(60) = 9[/tex] or [tex](60,9)[/tex]

If he spends 20 minutes on 1 figurine;

[tex]20\ minutes = 1\ figurine[/tex]

Multiply both sides by 3

[tex]60\ minutes = 3\ figurines[/tex]

This means that, he spends 60 minutes on 3

plus he still has 9 left

So, the initial figurines is:

[tex]f(0) =3 + 9[/tex]

[tex]f(0) =12[/tex] or [tex](0,12)[/tex]

So, we have:

[tex](60,9)[/tex] and [tex](0,12)[/tex]

Calculate the slope (m)

[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{12- 9}{0 -60}[/tex]

[tex]m = \frac{3}{ -60}[/tex]

[tex]m = -\frac{1}{20}[/tex]

The equation is then calculated as;

[tex]f(t) = m * t + c[/tex]

[tex]f(t) = -\frac{1}{20} * t + c[/tex]

[tex]f(t) = -\frac{1}{20}t + c[/tex]

To solve for c, we have:

[tex]f(60) = 9[/tex]

So, we have:

[tex]9 = -\frac{1}{20} * 60 + c[/tex]

[tex]9 = -3 + c[/tex]

Add 3 toboth sides

[tex]c =12[/tex]

Hence, the equation is:

[tex]f(t) =-\frac{1}{20} t + c[/tex]

[tex]f(t) =-\frac{1}{20} t + 12[/tex]

Answer:

f=-1/20t+12

Step-by-step explanation:

khan

Answer:

yes the triangle are similar

Answer:

[tex]b. \: \: 32[/tex]

Step-by-step explanation:

[tex]4(x - 2)[/tex]

[tex]4(10 - 2)[/tex]

[tex]4(8)[/tex]

[tex]32[/tex]

Answer:

14

Step-by-step explanation:

area = lb

4*3 or 6*2 or 1*12

perimeter= 14,16,26

Answer:

The answer is 47

Step-by-step explanation:

Answer:

Decay rate of 2%

Step-by-step explanation:

Since there is no information about the units for time, merely stating that the decay rate is 2% will suffice. The decay rate for when r < 1 is found by finding 1-r, so the rate of decay is .02, or 2%.

Answer:

30-12=18

18-18=0

Step-by-step explanation:

2x + 12 = 30

X represents the snacks, 2 represents the $2 per snack, 12 represents the $12 entry fee, and 30 represents the $30 Olivia had.

Answer:

Question 1: d. (3, 7)

Question 2: b. (5, 1)

Question 3: b. (6, –4)

Step-by-step explanation:

Question 1:

Solve this system of equations using any method.

4x – y = 5

3x + y = 16

Add the equations.

7x = 21

x = 3

4(3) - y = 5

-y = -7

y = 7

d. (3, 7)

Question 2:

Solve the following system of equations.

d + e = 6

d – e = 4

Add the equations.

2d = 10

d = 5

5 + e = 6

e = 1

b. (5, 1)

Question 3:

Solve the following system of equations by linear combination:

4x + 3y = 12

y = x – 10

4x + 3y = 12

-x + y = -10

Multiply the second equation by 4 and add to the first equation.

          4x + 3y = 12

(+)      -4x + 4y = -40

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

                  7y = -28

y = -4

-4 = x - 10

x = 6

b. (6, –4)

Answer:

12 additional sticks of butter

Step-by-step explanation:

First, create an equation. Let y represent the number of additional sticks of butter needed, and let x represent the number of cakes made.

y = [tex]\frac{x}{2}[/tex] will be the equation.

Since she has already baked 17 cakes, she will need to bake 24 more cakes to make 41 cakes.

Plug in 24 as x into the equation, and solve for y:

y = [tex]\frac{x}{2}[/tex]

y = [tex]\frac{24}{2}[/tex]

y = 12

So, she will need 12 additional sticks of butter

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

Answer:

10.35miles/hour

Step-by-step explanation:

(63,756 x 60)/ (70 x 5,280) = (3,825,360/369,600) = 10.35

(Application of division)

Answer:

10.35 mph

Step-by-step explanation:

(63,756 times 60) / (70 times 5280) in calculator is equal to 10.35

Answer:

Here we have the equation:

y = 4*x^2 - 4*x - 1

And we should have the graph (you can see it below this answer)

Now we want to find the solutions of:

4*x^2 - 4*x - 1 = 0

These solutions will be the two values of x at which the graph of our function intersects the line y = 0, that is the x-axis.

Then we need to find the two values of x at which our graph intersects the x-axis.

In the graph, we can estimate the solutions as:

x = -0.2

x = 1.2

To find the exact solutions we can use the Bhaskara's equation, and we will find that the solutions are given by:

Then the two solutions are:

x = (4 + 5.66)/8 = 11.2075

x = (4 - 5.66)/8 = -0.2075

Step-by-step explanation:

Answer:

The triangles are congruent  by HL

Step-by-step explanation:

The triangles are right triangles so we can use either HL ( hypotenuse leg) or LL (leg leg) if we know that two sides are congruent

We know one leg is equal to the other by the red line.  The hypotenuse is the same since it is the same line.

The triangles are congruent  by HL

Answer:

4

Hope that this helps!

Answer:

Step-by-step explanation:

Since we are finding the x-intercepts, that implies that this is a parabola that opens either up or down as opposed to right or left. It would benefit us to know the equation of the parabola so we could factor it to find the roots (which are also known as the x-intercepts).

Here's what we know:

h = 1, k = 20, x = 0, and y = 20. Filling in the vertex form of a parabola is already halfway to factored, so we'll use that format as opposed to the standard form, which is

[tex]y=ax^2+bx+c[/tex]. The vertex form is

[tex]y=a(x-h)^2+k[/tex] and filling in our values from above:

[tex]16=a(0-1)^2+20[/tex] and

[tex]16=a(1)+20[/tex] and

-4 = a. So the equation for the parabola is

[tex]y=-4(x-1)^2+20[/tex]. Now set it equal to 0 and factor.

[tex]-20=-4(x-1)^2[/tex] and divide both sides by -4 to get:

[tex]5=(x-1)^2[/tex] and take the square root of both sides to get

±[tex]\sqrt{5}=x-1[/tex] and then add 1 to both sides to get the x-intercepts (or roots or solutions or zeros...they're all the same).

x = 1 ±√5 and you're done!

Answer:

[tex]L=1+20i[/tex]

[tex]B=3+20i[/tex]

Step-by-step explanation:

From the question we are told that:

Area [tex]A=440cm^2[/tex]

Generally the equation for For Area is mathematically given by

 [tex]A=L*B[/tex]

 [tex]A=x*(x-2)[/tex]

Therefore

 [tex]x^2-2x-440=0[/tex]

 [tex]x=1+20i[/tex]

Therefore The Dimensions are

  [tex]L=1+20i[/tex]

 [tex]B=1+20i+2[/tex]

 [tex]B=3+20i[/tex]

whats the height of the cylinder....

we cant find radius if not given height too

V = pie r^2 h

1357 = 22/7 x r^2 x 12

1357 = 264/7 r^2

multiply both side by 7/264 ;

r^2 = 36

r = 6in

The question has the image missing. Check the attachment for the complete question.

The radius of the cylinder r = 6 in, given the volume of the cylinder, is 1357 in³.

The volume of a figure is the total space enclosed within the figure.

The volume of a cylinder of radius r units, and height h units is determined using the formula,

The volume of the cylinder = πr²h.

In the question, we are given a cylinder of the height of 12 inches and a radius of r inches.

The volume of the cylinder is given to be 1357 in³ approximately.

By the formula,

The volume of the cylinder = πr²h

or, 1357 = 3.14*(r²)*12

or, 1357 = 37.68r²

or, r² = 1357/37.68

or, r² = 36.013 ≈ 36 = 6²

∴ r = 6.

∴ The radius of the cylinder r = 6 in, given the volume of the cylinder, is 1357 in³.

Learn more about the Volume of a figure at

https://brainly.com/question/1972490

#SPJ2

Answer:

2.58 saved

Step-by-step explanation:

To find the discount, take the amount and multiply the discount percent

10.30 * 25%

10.30 *.25

2.575

Round to the nearest cent

2.58

Answer:

Step-by-step explanation:

2.58 saved