Una escalera de 30 pies de longitud está apoyada contra una pared de modo que su extremo superior se desliza hacia abajo con una velocidad de 1/2 pies/seg ¿cuál es la tasa de variación de la medida del ángulo formado por la escalera y el piso cuando el extremo superior está a 18 pies del piso?

Answer:

x= 36

Step-by-step explanation:

both angles together are supplementary and will form 180

Therefore, you know the missing angle can be found by substracting 108 from 180

180 - 108 = 72

72 = 2x

Answer:

36°

Step-by-step explanation:

2x+108°=180°

2x=72°

x=36°

Step-by-step explanation:

slope = 4

[tex] \frac{18 - 10}{7 - 5} [/tex]

which is

[tex] \frac{8}{2} [/tex]

which is 4

Answer:

Part A : 1/62   Part  b : 1/60

Step-by-step explanation:

Well lets start with part A

(62)x=1

anything in parenthesis means multiply

62x= 1

divide everything by 62 to get x by itself

x= 1/62

Part A : 1/62

Part B : 60x = 1

x = 1/60

because same  reasoning

Answer:

four significant digits

Step-by-step explanation:

Answer:   go to quizlet it will most likely have the answers

Step-by-step explanation:

Answer:

Option B

Step-by-step explanation:

Proportion of number of defective pieces to the number of microchips in a batch can be represented by the ratio = [tex]\frac{\text{Number of microchips not in good condition}}{\text{Total numbers of microchips}}[/tex]

If 3 microchips are defective in a batch of 750 microchips,

Proportion = [tex]\frac{3}{750}[/tex]

If 'x' chips are defective in a batch of 10000 microchips,

Proportion = [tex]\frac{x}{10000}[/tex]

If both the proportions are equal,

[tex]\frac{3}{750}=\frac{x}{10000}[/tex]

Therefore, Option B will be the answer.

Answer:

(3,16)

Step-by-step explanation:

Factor the equation to find out that the roots are 7 and -1. The vertex's x will be in the center of these two points, so the center point between 7 and -1 is 3. Continue to substitute the x in the equation with 3 to get the other coordinate for vertex.

Answer:

D; 15

Step-by-step explanation:

Because the highest point on the graph is at 15 (or 3 am), that would be the highest temperature. (Also, none of the other choices make sense; they are all at relatively low temperatures).

Answer:

120

Step-by-step explanation:

Answer:

y=4x

Step-by-step explanation:

Write the equation of linear function

Substitute:  

Multiply the monomials:  

Rearrange unknown terms to the left side of the equation:  

Reduce the greatest common factor on both sides of the equation:  

Rearrange unknown terms to the left side of the equation:  

Divide both sides of the equation by the coefficient of variable:  

Substitute one unknown quantity into the elimination:  

Solve the equation: m=4

Write the solution set of the equations:  

Substitute: y=4x

Answer: y=4x

Answer:

A. 210

Step-by-step explanation:

If you add the number of employees on the bar graph you will obtain your answer of 210 employees at Acme Corporation/Apple InfoTech.

Answer:

the y is 4

and the x is -8

(x,y)

(8,4-)

Answer:

X=4

Hope this helped some.

Answer:

4=X

Step-by-step explanation:

6X-8=4X

-8=-2X

-8/-2= 4X

Answer:

[tex]Ratio = \frac{R^2 - r^2 }{ r^2}[/tex]

Step-by-step explanation:

Given

See attachment for circles

Required

Ratio of the outer sector to inner sector

The area of a sector is:

[tex]Area = \frac{\theta}{360}\pi r^2[/tex]

For the inner circle

[tex]r \to radius[/tex]

The sector of the inner circle has the following area

[tex]A_1 = \frac{\theta}{360}\pi r^2[/tex]

For the whole circle

[tex]R \to Radius[/tex]

The sector of the outer sector has the following area

[tex]A_2 = \frac{\theta}{360}\pi (R^2 - r^2)[/tex]

So, the ratio of the outer sector to the inner sector is:

[tex]Ratio = A_2 : A_1[/tex]

[tex]Ratio = \frac{\theta}{360}\pi (R^2 - r^2) : \frac{\theta}{360}\pi r^2[/tex]

Cancel out common factor

[tex]Ratio = R^2 - r^2 : r^2[/tex]

Express as fraction

[tex]Ratio = \frac{R^2 - r^2 }{ r^2}[/tex]

Answer:

16 = x

Step-by-step explanation:

A triangle has 180 degrees. Use this to solve for x

180=(9x-8)+(x+2)+(x+10)

180 = 9x + x + x - 8 + 2 +10

180 + 8 -2 - 10 = 11 x

176 = 11x

176/11 = x

16 = x

Answer:

4x(10)

Step-by-step explanation:

add 3+7=10

4x is multiplying 3+7=10

4x(10)

Answer

5 miles

Step-by-step explanation:

If he rides his bike one mile each day school to home each day its going to be 1 mile per day so if its 5 days it is 5 miles

Answer:

Step-by-step explanation:

are about 2.5 meters above

Answer:

We can start at the given point (-1, 2) and move down 3 units and right 4 units to plot the next point. Repeat this for however long you want the line to be.

Hope this helps!

Here is the diagram:

Answer:

3 ways

Step-by-step explanation:

since the lowest # of people interested in a position is 3, there can only be 3 different ways to fill an entire 4-person committee

Answer:=2n5+4n4+5n3+4n

Step-by-step explanation:

Answer:

C. [tex]2n^{5} + 4n^{4} + 5n^{3} + 4n[/tex]

Step-by-step explanation:

Factor the numerator and denominator and cancel the common factors.

Answer:

Answer:

21

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

18 divided by 6 equals 3

21 minus 3 equals 18

18 plus 3 equals 21

Answer:

c= 15 mi

Step-by-step explanation:

Pythagorean theorem.  a^+b^=c^

Square root of that

answer 15

Answer:

15

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

9^2 + 12 ^2 = c^2

81+144= c^2

225 = c^2

Take the square root of each side

sqrt(225) = sqrt(c^2)

15 =c

-4 is greater since its negative then what you would call a smaller number is always greater

Answer:

-4

Step-by-step explanation:

i would pick ice cream though

Answer:

the middle one

Step-by-step explanation: