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2 years ago

How much water conditioner for 2.5 gallon tank?

1 answer:

8 0

If i'm correct you should add 0.5 mL to your 1 gallon tank, and I would say about 1.25 mL to your 2.5 gallon. It will not be extreme if you end up putting a little more in than you are supposed to. I'm not 100% because i haven't slept so my brain is being slow.

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A boat captain can see a lighthouse on the shore which is 103ft in front of him. If the lighthouse is 22ft tall, at what angle o

elena-14-01-66 [18.8K]

Answer:

21°

Step-by-step explanation:

A boat captain, lighthouse and its base form a right triangle.

We need to find the angle opposite to 22 ft side:

tan x = 22/103
x = arctan (22/103)
x = 21°

Note, option D should read 21° not 11°

5 0

2 years ago

An aircraft factory manufactures airplane engines. The unit cost C (the cost in dollars to make each airplane engine) depends on

butalik [34]

Answer:

90 engines must be made to minimize the unit cost.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

$f(x) = ax^{2} + bx + c$

It's vertex is the point $(x_{v}, y_{v})$

In which

$x_{v} = -\frac{b}{2a}$

$y_{v} = -\frac{\Delta}{4a}$

Where

$\Delta = b^2-4ac$

If a>0, the minimum value of the function will happen for $x = x_v$

C(x)=x²-180x+20,482

This means that $a = 1, b = -180, c = 20482$

How many engines must be made to minimize the unit cost?

x value of the vertex. So

$x_{v} = -\frac{b}{2a} = -\frac{-180}{2(1)} = 90$

90 engines must be made to minimize the unit cost.

3 0

2 years ago

Monet measures the diameter of an Oreo and finds that each cookie is 1.75 inches across. Using Monet's measurement, calculate th

Anon25 [30]

Answer:

5.495 inches.

Step-by-step explanation:

We have been given that Monet measures the diameter of an Oreo and finds that each cookie is 1.75 inches across. We are asked to find the circumference of an Oreo.

We know that circumference of circle is equal to $2\pi r$ , where r represents radius of circle.

We also know that diameter is 2 times radius.

$D=2r$

Upon substituting $2r=\text{ 1.75 in}$ , we will get:

$\text{The circumference of an Oreo}=\text{ 1.75 in}\times \pi$

Using 3.14 as an estimation for π, we will get:

$\text{The circumference of an Oreo}=\text{ 1.75 in}\times 3.14$

$\text{The circumference of an Oreo}=5.495\text{ in}$

Therefore, the circumference of an Oreo would be 5.495 inches.

3 0

3 years ago

a certain polygon has 9 sides.Two of the sides have length of a,and 4 sides each have length 3a.The lengths of the remaining thr

melamori03 [73]

92 = 11 + 12 + 13 + 2(a) + 4(3a)

92 = 36 + 2a + 12a

92 = 36 + 14a

-36 -36

56 = 14a

56/14 = 14a/14

a = 4

3 0

3 years ago

Here's a question ~

Gre4nikov [31]

Answer:

(0, 5√3/2 + 2)

Step-by-step explanation:

Given is the absolute value function.

Observations:

It has a slope of ±√3 and the y- intercept of 2.
There is no horizontal shift, so the the y-axis is the line of symmetry.
The y-axis is also an angle bisector of the two lines.
The foot P₁P₂ is parallel to the x-axis since it's perpendicular to the y- axis.

We need to find the coordinates of intersection of the line P₁P₂ with the y- axis (the point Y in the picture).

Consider the triangle AYP₂.

We know AP₂ = 5.

The angle YAP₂ is:

arctan (1/√3) = 30°

The distance AY is:

AY = AP₂ cos 30° = 5*√3/2

The distance from the x-axis to the point Y is:

5√3/2 + 2, added the y- intercept of the graphed lines

The coordinates of the point Y:

(0, 5√3/2 + 2)

3 0

3 years ago