choose the definition for the function y={x+1 x≤2 x+2 x>2 y={x+1 x>2 x+2 x≤2 y={x+1 x​

Answer:

15 feet

Step-by-step explanation:

The ladder is the hypotenuse of a right triangle, with the legs being 9 ft and 12 ft long (see the picture).

To solve for the length of the ladder, use the Pythagorean Theorem.

[tex]9^{2} +12^{2} =c^{2} \\c=\sqrt{9^{2} +12^{2}} \\c=\sqrt{81+144} \\c=\sqrt{225} \\c=15[/tex]

Step-by-step explanation:

Angle ACO = 140° - x. (Sum of angles in a triangle is 180°)

Now draw the line OD. The triangles ODC and OBC are congruent via the SSS congruence property. (OD and OB are both the radius of semicircle, common side OC, and side CD = CB is given)

Hence Angle BCO = Angle ACO = 140° - x.

Since triangle OBC is an isosceles triangle with OC = OB, this means that Angle CBO is also 140° - x.

By Exterior Angle theorem,

we have Angle AOC = Angles BCO + CBO

=> x = (140° - x) + (140° - x)

=> 3x = 280°

=> x = 280°/3. (B)

Yes...

x/3 > -1

what values of x make x/3 > -1

hint... your answer will look like like x > (number)

Answer:

14.9

if you need it

side a is 24.04867

9514 1404 393

Answer:

  c ≈ 14.9 cm

Step-by-step explanation:

I personally like to use a proportion that has the unknown in the numerator. The angle opposite c is ...

  C = 180° -150° -12° = 18°

Then the law of sines tells us ...

  c/sin(C) = b/sin(B)

  c = sin(C)·b/sin(B) = sin(18°)/sin(12°)(10 cm)

  c ≈ 14.9 cm

Answer:

Interest=$3600

Step-by-step explanation:

I = P * r * x * t

Where:

P is the principal amount, $12000.00.

r is the interest rate, 5% per year, or in decimal form, 5/100=0.05.

t is the time involved, 6....year(s) time periods.

So, t is 6....year time periods.

To find the simple interest, we multiply 12000 × 0.05 × 6 to get that:

The interest is: $3600.00

Usually now, the interest is added onto the principal to figure some new amount after 6 year(s),

or 12000.00 + 3600.00 = 15600.00. For example:

If you borrowed the $12000.00, you would now owe $15600.00

If you loaned someone $12000.00, you would now be due $15600.00

If owned something, like a $12000.00 bond, it would be worth $15600.00 now.

Answer:

The answer is 639.

Step-by-step explanation:

42.6 × 15

639

Answer: 639

Step-by-step explanation:

42.6 x 15 =639

Answer

the slope is 3/4 or .75

Answer:

The distance is 5 units.

Step-by-step explanation:

Key Skills needed for this problem: Distance Formula, Coordinate Plane Understanding, Radicals, Subtraction, Exponents, Addition

1) We are given 2 points --> (-1,2) and (3,5)

2) To find out the distance between both, we use distance formula.

This is: Given 2 points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex], the distance between the 2 points would be: [tex]\sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}}[/tex].

3) For the points (-1,2) and (3,5):

4) Therefore it would be --> [tex]\sqrt{(-1 - 3)^{2} + (5-2)^{2}}[/tex]

5) This simplified would be [tex]\sqrt{(-4)^{2} + 3^{2}}[/tex]

6) This further simplified would be: [tex]\sqrt{16 + 9}[/tex]

7) This even more simplified would be [tex]\sqrt{25}[/tex] which is 5.

Therefore, the distance between the 2 points is 5 units.

Hope you understood and have a nice day!! :D

Answer:

5 and 10/11 kilometers

Step-by-step explanation:

if she gets $5.50 per 1 kilometer the she gets $33 dollars per 6 kilometers but she got 32.50 there are $0.50 missing which equals to 10/11 the actual price so she went 5 kilometers and 10/11 killometer

Answer:

No they are proprotional.

Step-by-step explanation:

the tables eqaution is

y=3x+1

Answer:

Yes. I assume yes they are proportional because you can see a pattern in the y and x's.

Answer:

perpendicular

Step-by-step explanation:

L1: find the slope

rise: 2 - (-5) = 7

run: -1 - (-3) = 2

m1 = 7/2

L2:

rise: 2 - 4 = -2

run: 7 - 0 = 7

m2 = -2/7

parallel means same slope m1 = m2

perpendicular means opposite reciprocal (flip and change signs)

7/2 flip and change signs = -2/7, yes thus it is perpendicular

Answer:

A is the correct answer

Step-by-step explanation:

We need to figure out the base and the height. We can do that using pythagorean's theorem.

The others either misused the pythagorean theorem or got the 1/2*base*height formula wrong, so A is the answer.

Answer:

the shorter pipe is 41 inches the longer one is 82 inches.

Step-by-step explanation: hope this helps

Answer:

V = 125.6 in³

Step-by-step explanation:

let V be volume, h the height and r the radius, then the equation relating the quantities is

V = khr² ← k is the constant of variation

To find k use the condition V = 402.12, h = 8, r = 4

402.12 = k × 8 × 4² = 128k ( divide both sides by 128 )

3.14 = k [ note 3.14 is π )

V = 3.14hr² ← equation of variation [ V = πr²h ]

Given r = 2 and h = 10, then

V = 3.14 × 10 × 2² = 3.14 × 40 = 125.6

Answer:

64x³+4

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

2x-1

Step-by-step explanation:

I hope this helps. :)

Answer:

A==−x+3y=9

Step 1: Add -3y to both sides.

−x+3y+−3y=9+−3y

−x=−3y+9

Step 2: Divide both sides by -1.

−x

−1

=

−3y+9

−1

x=3y−9

Answer:

x=3y−9

Options :

Determine whether the equation has the form a = a, and if it does, the equation has infinitely many solutions. Determine whether the equation has the form a = b, and if it does, the equation has no solution. Determine whether the equation has the form x = a, and if it does, the equation has one solution. Determine whether the equation has the form x = 0, and if it does, the equation has no solution.

Answer:

Determine whether the equation has the form x = a

Step-by-step explanation:

Negative 3 (x + 1) + 3 x = negative 3 (x minus 1) + 3

-3(x + 1) + 3x = - 3(x - 1) + 3

If the equation has the form x =a, where a is the unknown and a is the value of the unknown 'x'

Expanding :

-3x - 3 + 3x = - 3x + 3 + 3

-3x + 3x -3 = - 3x + 6

-3 = - 3x + 6

-3 - 6 = - 3x

-9 = - 3x

x = 9/3

x = 3

Answer:

x-intercept: (2,0)

y-intercept: This line doesn't cross the y-axis.

Answer

I dont know

Step-by-step explanation:

I would love to help but I have no clue

Answer:

slope = 12/7

Step-by-step explanation:

y2 - y1 / x2 - x1 = slope

slope = 4-(-8)/0-(-7)

slope = 12/7

Answer:

60(.3)= 18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Answer: is 7 an answer choice ?

Step-by-step explanation:

Answer:

x=7

Step-by-step explanation:

x-15/5=4

x-3=4

x=4+3

x=7

Answer:

Noah answer is the correct answer

Step-by-step explanation:

The solution to the above question is given as:

Total Volume = Volume of the prism + Volume of the cube

Volume of the prism = 20 cubic units

Volume of a cube = (Side length)³

= 10³ = 1000 cubic units

Hence: The total volume =

20 cubic units + 1000 cubic units

= 1,020 cubic units

Therefore, I agree with Noah's answer.

Answer:

All the possible ratios of boys to girls that could be made are:

30:15

10:5

6:3

2:1

Step-by-step explanation:

If there are 30 boys and 15 girls in the room

We have :

Boys : Girls

30 : 15

a) 30 : 15

Dividing through by 3

= 10:5

b) 30 : 15

Dividing through by 5

= 6:3

c) 30 : 15

Dividing through by 15

= 2:1

Hence:

All the possible ratios of boys to girls that could be made are:

30:15

10:5

6:3

2:1

Answer:

D. 4/9 and 0.4 repeated

Step-by-step explanation:

4000/9 is .4 repeated and the 4 in the remainder which would end up as 4/9

Answer: 77

Step-by-step explanation: