algebra 2A
1.) You and your friends are going on a road trip up the coast to San Francisco to watch the Dodgers play the Giants. The trip is about 810 miles, round trip. The car you are driving gets 288 miles on a full tank. How many times will you need to fill up your tank to make the round trip? ​

I think it is six thats what i got

Answer:

6 units²

Step-by-step explanation:

Since the triangle is reflected they should have the same length sides (triangles are congruent) so you would use the length they give you for side AC in the first triangle and the length of the side AB in the second triangle to determine the area

Area= ½ base × perpendicular height

=½4 ×3

=6 units²

Answer:

9. -1

First combine the like terms (-5x and 3x), the move -9x to the other side. That equals 7x. Then move -16 (turn positive) and add it to -23, that equals -7. Divide both sides by 7.

10. 9

Add 1 to -24. Then move -23(turn positive) to the other side. Combine with -5 and you get 18. Then move 6r and subtract it from 8r. Divide both sides by 2.

11. 11

Subtract 7a from 9a= 2a. then add 3a and 2a and move 5a to the other side. Add -5a and 2a = -3a. Divide both sides by -3.

12. 5

Combine the like terms. Move -25 and turn it positive and then add it to 20= 45. Turn -2m positive and add it to 7m. Divide both sides by 9.

13. -5

Use the distributive property on both sides. Move 2k and subtract it from 4k= 2k. Move -8 and add it to -18= -10. Divide both sides by 2.

14. -2

Use the distributive property. Move -5n and add it to -6m= -m. Move 18 and subtract it from 20= 2. Divide both sides by -1.

15. -3

Use the distributive property and combine like terms. Move 4p to the other side and subtract from -7p= -11p. Change the sign of 16 and add to 17= 33. Divide both sides by -11.

16. -13

Use the distributive property (pay attention to signs) and combine the like terms. Move -8v, turn positive, and add to -6v= 2v. Move 14, turn negative, and combine with -12= -26. Divide both sides by 2.

Answer: x = 22.21

Step-by-step explanation:

Given

7 · cos (2x) = 5

Divide 7 on both sides

7 · cos (2x) / 7 = 5 / 7

cos (2x) = 5/7

Divide cosine on both sides (meaning applying cos⁻¹ to the right-hand side)

2x = cos⁻¹ (5/7)

Divide 2 on both sides

2x / 2 = [cos⁻¹ (5/7)] / 2

[tex]\boxed {x=22.21}[/tex] (Rounded to the hundredth place)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

X = Amount of zippers she can buy

Y = Total cost

K = each zipper cost, $2.50

Solution: Hans can buy 15 zippers

Step-by-step explanation:

38 = 2.50x

x = 15.2 = 15 zippers

Answer:

2 : 1

Step-by-step explanation:

→ Convert 1.4 m into cm

1.4 × 100 = 140 cm

→ Find the larger number between 140 and 70

140

→ Put into ratio format

140 : 70

→ Simplify

2 : 1

Answer:

2

Step By Step Explanation:

= 2*(8+3*3-4^2)

= 2*(8+3*3-16)

= 2*(8+9-16)

= 2*(17-16)

= 2*(1)

= 2*1

= 2

Answer: 2

Step-by-step explanation:

2/(8+9-16)

2/1 = 2

Answer:

Srry but there is no table.

Answer:

added or serving as a supplement.

Step-by-step explanation:

steps are in the picture above.

if you need to ask a question let me know.

Answer:

1161 ft

Step-by-step explanation:

36 ft with the triangles, 900 ft with the squares, 225 ft for the bottom square, so total is 1161 ft.

Answer:

26%

Step-by-step explanation:

How can we turn a fraction into a percentage well if 1.00 is 100% and 0.90 is 90% we can see that we can easily convert between decimal and percents. The fraction 13/50 is the same thing as 13 divided by 50 which is 0.26. So our answer is 26%

Answer: 26%

Step-by-step explanation:

13/50 = 26/100 =26%

Answer: x= 19/21.

Step-by-step explanation:

We can expand the expression to:

28x - 8x^2 - 35 + 10x -4x + 8x^2 - 4 + 8x = -1

We can then cancel the - 8x^2 and the + 8x^2 and simplify further by adding like terms:

38x - 35 + 4x -4 = -1 --> 42x - 39 = -1

We can then add 39 on both sides:

42x = 38

We can then divide both sides by the GCF (greatest common factor), 2:

21x = 19

We divide both sides by 21:

x = 19/21

Answer:

24units.

Step-by-step explanation:

steps are in picture.

If you have any question about it please ask.

Answer:

(5,3)

Step-by-step explanation:

Answer:

-4.4

Step-by-step explanation:

=3-[8-(7-6.4)]

=-4.4

Answer:

There is no solution

Step-by-step explanation:

[tex]5(x + 3) - 2 = 2 + 5x + 9[/tex]

[tex]5x+15-2-2-5x-9=0\\15-13=0\\2=0[/tex]

There is no solution

because 2=0 is not possible.

→5(x + 3) - 2 = 2 + 5x + 9

→5x+15-2 = 11+5x

→5x-5x = 11-13

→x = -2

~

Answer:

9

Step-by-step explanation:

9+5=14/2=7

Answer:

The above given statement is true

Answer:

a= 24 cm

Step-by-step explanation:

[tex] \frac{ \sin(150) }{a} = \frac{ \sin(12) }{10} \\ a = 24[/tex]

I hope I helped you^_^

Answer: Top right.

Step-by-step explanation:

After plotting the points on a graph, you will see that the points create a negative linear function.

Answer:

the answer for this question is 2

Answer:

[tex]\huge\boxed{\sf V = 4778.4\ cm\³}[/tex]

Step-by-step explanation:

Given:

Height = 27 cm

Radius = 13 cm

Formula:

[tex]Volume \ of \ cone \ V = \frac{1}{3} \pi r^2h[/tex]

Solution:

V = 1/3 (3.14)(13)²(27)

V = (3.14)(169)(9)

V = 4778.4 cm³

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

4.35 or 87/20

Step-by-step explanation:

try desmos scientific calculator to help with other question.

Answer:

The question is incorrect as it lacks the "x" component. Function f(x) cannot be stated without the x, elseways it couldn't be called "f(x)"

Answer:

1,920,000,000 pounds of food per year and 3,840,000 people.

Step-by-step explanation:

1,280,000 active military members could have been farmers that produced 1,500 pounds of food per year. (1,280,000 farmers x 1,500 pounds of food = 1,920,000,000).

1,920,000,000 divided by 500 pounds of food per person is 3,840,000.

Answer:

m > 7

Step-by-step explanation:

[tex] - 99 > 5 - 8(m + 6)[/tex]

[tex] - 8(m + 6) = - 8m - 8 \times 6[/tex]

[tex] = - 8m - 48[/tex]

[tex] - 99 > 5 - 8m - 48[/tex]

[tex]5 - 48 = - (48 - 5) = - 43[/tex]

[tex] - 99 > - 43 - 8m[/tex]

[tex] - 99 + 8m > - 43[/tex]

[tex]8m > - 43 + 99[/tex]

[tex]8m > 56[/tex]

[tex] = m > 7[/tex]

Answer:

2/51

Step-by-step explanation:

there are 4 white tiles and 18 total tiles in the bag, so your ratio is 4 out of 18 and 2/9 when simplified. When Robin draws out the first one, if it is white, then because he keep that one out, there are only 3 white tiles left and 17 total tiles left, so 3/17 is his chance of drawing a white the second time. you multiply 2/9 and 3/17 together because there is a chance for him to draw the white tile the first time and a chance to draw a white again the second time, so it is reasonable for the chance to be really small. 2/9 x 3/17=2/51.

Answer:  5*sqrt(5)

This is the same as sqrt(125).

It approximates to roughly 11.1803

=========================================================

Explanation:

Vector u is 5 units long as indicated by the notation ||u|| = 5. Some math books would say |u| = 5, and it's the same thing. The double bars are probably more fitting because it helps emphasize we're looking for the length of a vector and we're not using absolute value bars.

The second equation ||u|| = (1/2)*||v|| can be rewritten into ||v|| = 2*||u|| telling us that vector v is twice as long compared to vector u. Since vector u is 5 units long, that must mean vector v is 10 units long.

The two vectors are orthogonal, i.e. they are perpendicular. The vector u+v represents the diagonal of the rectangle as shown below in the attached image. Vector u is horizontal, v is vertical, and u+v is the diagonal. Technically we don't know where vector u is pointed along a compass (it may or may not be pointing directly east), but I find it's easier to have it set up like this. The answer will be the same regardless of where vector u is pointed. Rotations don't affect vector lengths.

We can see that vector u+v effectively breaks down component-wise into the horizontal component u and vertical component v (think of them as x and y components respectively).

Furthermore, note how there are two right triangles that form when we draw in the diagonal of the rectangle.

To find the length of vector u+v, we apply the pythagorean theorem.

a^2+b^2 = c^2

( ||u|| )^2 + ( ||v|| )^2 = ( ||u+v|| )^2

( 5 )^2 + ( 10 )^2 = x^2

25 + 100 = x^2

125 = x^2

x^2 = 125

x = sqrt(125)

x = sqrt(25*5)

x = sqrt(25)*sqrt(5)

x = 5*sqrt(5) is the length of vector u+v

In other words, ||u+v|| = 5*sqrt(5)

Keep in mind that this trick using the pythagorean theorem only works when vectors u and v are orthogonal. The process to find ||u+v|| for non-orthogonal vectors u,v is a bit more complicated.