A car traveling at a constant speed travels 1000 ft in 12 seconds. In miles, how far will this car travel in 4 hours?
show work!!

Answer:

see below

Step-by-step explanation:

sin x = cos x

opp/ hyp = adj /hyp

Multiply each side by the hypotenuse

opp = adj

The opposite side must equal the adjacent

Since this is a right triangle

opp ^2 + adj ^2 = hypotenuse^2

opp ^2 + opp ^2 = hypotenuse^2

2 opp ^2 = hypotenuse^2

Take the square root of each side

sqrt(2 opp ^2) =sqrt( hypotenuse^2)

sqrt(2) opp = hyp

We know sin X = opp / hyp

sin x =  opp / (sqrt(2) / hyp)

sin x = 1 / sqrt(2)

sin x = sqrt(2) /2

Taking the inverse sin of each side

x = sin ^-1 ( sqrt(2) /2)

Answer:

A= 41,915

B= 40.915

C= 4.9072

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

5*-9=-45

-45*-2=90

Answer:

90

Step-by-step explanation:

Let's solve this step by step:

(5) · (-9) · (-2)

First, there are two negatives in this equation. They will cancel each other out, to simply make 9 · 2:

5 · 9 · 2 =

Now, we do the multiplication:

5 · 9 · 2 = 45 · 2 = 90

90 is the answer!

Answer:

1,628.89

Step-by-step explanation:

Answer:

[ 0, 2 ] is the interval for the graphed function that contains the local maximum. Hence, the answer is [ 0, 2 ] is the answer.

Step-by-step explanation:

f(-2) = 2(-2)+3

f(-2) = -4+3

f(-2) = -1

g(4) = (4) - 7

g(4) = -3

f(-2) + g(4) is -1 + (-3) which is -4

Answer:

29

Step-by-step explanation:

sum of angles in a triangle=180°

180-(67+84)=29°

Answer:

B) Slope = 2.5, y-intercept = –5

Step-by-step explanation:

Given the following points on the grid, (-1.5, -8.75) and (3.5, 3.75), the slope can be calculated as follows using the formula, [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Let,

[tex] (-1.5, -8.75) = (x_1, y_1) [/tex]

[tex] (3.5, 3.75) = (x_2, y_2) [/tex]

[tex] m = \frac{3.75 -(-8.75)}{3.5 -(-1.5)} [/tex]

[tex] m = \frac{3.75 + 8.75}{3.5 + 1.5} [/tex]

[tex] m = \frac{12.5}{5} [/tex]

[tex] m = 2.5 [/tex]

Slope = 2.5.

The y-intercept is the point at which the line intercepts the y-axis. On the graph, the line intercepts the y-axis at y = -5. Therefore, the y-intercept = -5.

Answer:

1000 grams of fish= 1500 calories

1334 grams of fish= 2001 calories

1 gram of fish= 1.5 calories

Answer:

wheres the other page??

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

–3(3x –2) = –30

Divide each side by -3

–3(3x –2)/-3 = –30/-3

3x –2 = 10

Add 2 to each side

3x –2+2 = 10+2

3x = 12

Divide each side by 3

3x/3 = 12/3

x = 4

Answer:

X = 4

Step-by-step explanation:

1: Distribute

-3 (3x - 2) = -30 (Multiply 3x and -2 by -3)

-9x + 6 = -30

2: Combine Like Terms

-9x + 6 = -30 (Subtract 6 from -30)

-9x = -36

3: Divide

-9x = -36 (Divide -36 by -9 to get x by itself)

x = -36 / -9

4: Solve

x = -36 / -9

X = 4

Answer:

No

Step-by-step explanation:

The hypotenuse should be 81.02 not 90

Answer:

Step-by-step explanation:

Discount is:

Discount % is:

Applying same discount to pair of shoes for $110:

Answer:

m=2/3

Step-by-step explanation:

Answer:A

Step-by-step explanation:

Answer:

59 feet per second

Step-by-step explanation:

[tex]40 mph = \frac{40*5280feet}{1hour} \\40mph = 211200 feet/per/hour[/tex]

to convert 211200 feet per hour to feet per second, we need to know how many seconds are in one hour

60seconds * 60 minutes = 3600 seconds

[tex]211200/3600 = 58.66666666666.... =59[/tex]

Answer:

point b

Step-by-step explanation:

[tex] \frac{3}{2} = 1.5[/tex]

Answer:

B

Step-by-step explanation:

It is actually pretty simple if you know what to do.

First you simplify 3/2. That will get you 1 1/2

If you look closley you can see that B is in the 1 1/2 place.

Thats it!

Hope this helped! :)

Answer:

-5x+y=5

or,-5x=5-y

or,x=5-y+5

or,x=10+y......................as eqn (i)

Agn

or3x-6y=24..................as (ii)

putting the value of x in eqn ii

or 3(10+y)-6y=24

or 30+3y=24

or 30-24 =3y

or 6=3y

or y=6/3

or y=2

putting the value of y in eqn i

or x=10+y

or x=10+2

or x=12.

Answer:

y = -5; x = -2

Step-by-step explanation:

[tex]\left \{ {{-5x+y=5} \atop 3x-6y = 24}} \right.\\=> \left \{ {{y=5+5x} \atop {3x-6y=24}} \right. \\<=>\left \{ {{y=5+5x} \atop {3x-6(5+5x)=24}} \right. \\<=>\left \{ {{y=5+5x} \atop {3x-30x-30=24}} \right. \\<=>\left \{ {{y=5+5x} \atop {-27x=24+30=54}} \right. \\<=>\left \{ {{y=5+5x} \atop {x=54:(-27)=-2}} \right. \\<=>\left \{ {{y=5.(-2)+5} \atop {x=-2}} \right. \\<=>\left \{ {{y=-10+5=-5} \atop {x=-2}} \right. \\<=>\left \{ {{y=-5} \atop {x=-2}} \right.[/tex]

Answer:

30 of the 15 cent stamps and 50 of the 25 cent stamps

Step-by-step explanation:

Create a system of equations, where x is the number of 15 cent stamps and y is the number of 25 cent stamps:

x + y = 80

0.15x + 0.25y = 17

Solve by substitution by rearranging the first equation:

x + y = 80

x = 80 - y

Substitute 80 - y as x into the second equation:

0.15x + 0.25y = 17

0.15(80 - y) + 0.25y = 17

12 - 0.15y + 0.25y = 17

12 + 0.1y = 17

Solve for y:

0.1y = 5

y = 50

Plug in 50 as y into the first equation, and solve for x:

x + y = 80

x + 50 = 80

x = 30

So, you bought 30 of the 15 cent stamps and 50 of the 25 cent stamps

answer: ten 15¢ stamps and forty 20¢ stamps.

Step-by-step explanation:

because i just took the quiz

Answer:

8

Step-by-step explanation:

Answer:

0 ≤ x ≤ 5

Step-by-step explanation:

I used the Desmos calculator

Answer: