Please help me solve

Answer:

A. 12/13

Step-by-step explanation:

Remember SOH, CAH, TOA.

In this situation, the function is sine so sine= opposite/hypotenuse.

The side opposite of K is 12.

The hypotenuse is the longest side so it will be 13.

Therefore, sineK= 12/13(a)

Answer:

12/13

Step-by-step explanation:

Answer:

Capacity of tank = 44,000 l

Step-by-step explanation:

Given:

Height of tank = 3.5 m

Radius = 2 m

Find:

Capacity of tank

Computation:

Volume of cylinder = πr²h

Volume of cylinder = (22/7)(2)²(3.5)

Volume of cylinder = 44 m³

1m³ = 1000 l

So,

Capacity of tank = 44  x 1,000

Capacity of tank = 44,000 l

Answer: h -18 =14

Step-by-step explanation:

You need to plug in -18 into the equation. So h(-18)=17+(-18)/6

h(-18)=17-3

h(-18)=14

9514 1404 393

Answer:

  a) zeros: -2/3, 6

  b) x < -2/3, signs: -, -; sign of product: +

  -2/3 < x < 6, signs: +, -; sign of product: -

  x > 6, signs: + +; sign of product: +

  c) solution: x < -2/3 ∪ x > 6

Step-by-step explanation:

a) The zeros of the product are the values of x that make either factor zero. (A product is only zero if one of the factors is zero.)

  3x +2 = 0   ⇒   x = -2/3

  x -6 = 0   ⇒   x = 6

The zeros of the quadratic are x = -2/3 and x = 6.

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b) For values of x left of the left-most zero, both factors are negative. For values of x between the zeros, the left factor is positive and the right factor is negative. For values of x greater than the right-most zero, both factors are positive. That is, for large negative values of x, all factors are negative. Working left-to-right, each time a zero is crossed, one factor changes sign.

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c) The solution is where the signs of the factors match:

  x < -2/3 or -6 < x

answer:

he would use 3 cups of sugar and would need to multiply

step-by-step explanation:

6 X 1/2 = 3 cups of sugar

Answer:

[tex]Distance = 38.57ft[/tex]

Step-by-step explanation:

Given

[tex]Base = 60[/tex]

[tex]\theta = 50[/tex]

Required

The distance between the top and John

The distance is calculated using:

[tex]sin\alpha = \frac{Distance}{Base}[/tex]

Where

[tex]\alpha = 90 - \theta[/tex] --- the angle between the diagonal line and the vertical line

[tex]\alpha = 90 - 50[/tex]

[tex]\alpha = 40[/tex]

So, we have:

[tex]Sin(40) = \frac{Distance}{60}[/tex]

[tex]Distance = 60 * sin(40)[/tex]

[tex]Distance = 60 * 0.6428[/tex]

[tex]Distance = 38.57ft[/tex]

[tex]Distance = 986 * tan(38)[/tex]

[tex]Distance = 986 * 0.7812[/tex]

[tex]Distance = 770ft[/tex] --- approximated

Answer:

the answer to a is 25, im unsure what B is.

Step-by-step explanation:

hope this helps!!!

Answer:

4x19+4x2  or  4x21

Step-by-step explanation:

If you multiply 4x19, you get  76. And if you multiply 4x2 you get 8. 76+8= 84

If you multiply 4x21 you get 84 also.  Both of these answers are distributive property. (all it is, is different ways of solving the problem.)

Hope this helps!  :)

Answer:

x3+2x2-17x+6.

Step-by-step explanation:

(x2+5x-2)(x-3)

= x(x2+5x-2)-3(x2+5x-2)

= x3 +5x2-2x-3x2-15x+6

Simplifying like terms:

= x3+2x2-17x+6

Answer:

Discriminant = -24, no real roots.

Step-by-step explanation:

The discriminant is what's inside the square root in the quadratic formula.

The quadratic formula is:

[tex]\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex] and [tex]\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex]

a = 1

b = 2

c = 7

The question wants the discriminate, we can just focus on the square root part.

When we plug in the parts we got, it becomes:

[tex]\sqrt{4-4(1)(7)}\\\sqrt{4-28} \\\sqrt{-24}[/tex]

Since the inside of the square root is negative, there are no real roots.

Answer: Your splitting 1 into 4 parts and I don't think anything here tells me you need to simplify bc then it would be, 1/2, which is not 3/4. It's like having one quarter that equals 25c, 50, 75, a 1.00, but it's 0.25 and 0.75?

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

If g(x) = 3, that means that the output is three.

Outputs are y values.

Look at the graph. When y=3, the x  = 9.

So the input value for which g(x) = 3 (aka that gives the output y = 3) is x = 9

Step-by-step explanation:

2x²_4x_5x+10

2x(x-2)-5(x-2)

(2x-5)(x-2)

Answer:

2x-4

Step-by-step explanation:

5x-(4+3x)

5x-4-3x

5x-3x-4

2x-4

Answer:

la verdad que depende de la situación

The farm raises some rabbits and native chickens. The number of native chickens is six times the number of rabbits, with a total of 560 feet. farm

Raised ? rabbit.​

Answer:

question of number 10 is 3

Answer:

80

So, the area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle. Example: Find the area of the triangle. The area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle.

Answer:

24ounces

Step-by-step explanation:

16 ounces is 2x 8

8=1:1 ratio

8x3=24

2:3 = 16:24

Answer:

true

Step-by-step explanation:

Answer:

45$?

Step-by-step explanation:

Answer:

d. distributive property

Step-by-step explanation:

Answer: 18 questions

Step-by-step explanation:

First we want to make 60% a decimal so we divide by 100.

This gives us 0.6

Then we multiply 30*0.6=18

18 questions

Answer:

m<YVX = 49°

Step-by-step explanation:

Given:

m<YVZ = 52°

m<ZVW = 36°

m<XVU = 43°

m<YVX + m<YVZ + m<ZVW + m<XVU = 180° (angles in a straight line)

m<YVX + 52 + 36 + 43 = 180 (substitution)

m<YVX + 131 = 180

m<YVX = 180 - 131

m<YVX = 49°

Answer:

i think this

Step-by-step explanation:

Let Va = the velocity of the airplane

Let Vw = the velocity of the wind

When flying with the wind:

(Va+Vw)*(4 hours) = 4000

4Va + 4Vw = 4000

4Vw = 4000 - 4Va

Vw = 1000 - Va

When flying against the wind:

(Va-Vw)*(7 hours) = 4200 km

7Va - 7Vw = 4200

Substitute 1000-Va for Vw and solve for Va:

7Va - 7(1000-Va) = 4200

7Va -7000 + 7Va = 4200

14Va = 11200

Va = 800 km/hr

Rate of wind:

Vw = 1000 - Va = 1000 - 800 = 200 km/hour

Answer:

You have to deposit $8,207.5 today.

Step-by-step explanation:

Compound interest:

The amount of money in yearly compounded interest, after t years, is given by the following equation:

[tex]A(t) = A(0)(1+r)^t[/tex]

In which A(0) is the initial deposit and r is the interest rate, as a decimal.

You would like to have $10,000 in an account after eight years time.

This means that when [tex]t = 8, A(t) = 10000[/tex]

2.5% compounded interest

This means that [tex]r = 0.025[/tex]

So

[tex]A(t) = A(0)(1+r)^t[/tex]

[tex]A(t) = A(0)(1+0.025)^t[/tex]

[tex]A(t) = A(0)(1.025)^t[/tex]

How much would you have to deposit today?

We have to find A(0), when [tex]t = 8, A(t) = 10000[/tex]. So

[tex]A(t) = A(0)(1.025)^t[/tex]

[tex]10000 = A(0)(1.025)^8[/tex]

[tex]A(0) = \frac{10000}{(1.025)^8}[/tex]

[tex]A(0) = 8207.5[/tex]

You have to deposit $8,207.5 today.

Answer:

40(?)

I don't remember exactly if that's correct, but I hope it's right! Comment if you want the explanation

Answer:

4 9/14

Step-by-step explanation:

Answer:

The answer is 4 9/14