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3 years ago

15

identify the type of proportion and solve the problem. rose bought 8 bags at 880. if rit buys 12 of such kind of bags, how much

will she pay?

2 answers:

salantis [7]3 years ago

5 0

Answer:

1320

Step-by-step explanation:

880/8 = 110

12x110 = 1320

harkovskaia [24]3 years ago

3 0

Answer:

1,320

Step-by-step explanation:

880/8= $110

$110×12= 1,320

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The angle of depression from the top of a lighthouse to a boat is 27*. if the direct distance from the top of lighthouse to the

alisha [4.7K]

Answer:

Correct answer: Db = 411 .18 ft

Step-by-step explanation:

Given:

α = 27° angle of depression

Dt = 462 ft distance from the top of lighthouse to the boat

Db = ? distance from the base of the lighthouse to the boat

Here we have a right triangle with hypotenuse Dt and one leg Db.

By definition

cos α = Db / Dt ⇒ Db = Dt · cos α

Db = 462 · cos 27° = 462 · 0.89 = 411 .18 ft

Db = 411 .18 ft

God is with you!!!

5 0

3 years ago

Write the standard form of the equation of the circle with the given characteristics.

SOVA2 [1]

<h2><u>Circle Equations</u></h2>

<h3>Write the standard form of the equation of the circle with the given characteristics.</h3><h3>Center: (0, 0); Radius: 2</h3>

To determine the equation of a circle, use the standard form of a circle (x - h)² + (y - k)² = r² where,

<u>(h, k)</u> is the center; and
<u>r</u> is the radius

Substitute the values of the center and radius to the standard form.

<u>Given:</u>

<u>(0, 0)</u> - <u>center</u>

<u>2</u> - <u>radius</u>

(x - h)² + (y - k)² = 2²
(x - 0)² + (y - 0)² = 4
x² + y² = 4

<u>Answer:</u>

The equation of the circle is <u>x² + y² = 4</u>.

Wxndy~~

7 0

2 years ago

The differential equation in Example 3 of Section 2.1 is a well-known population model. Suppose the DE is changed to dP dt = P(a

LuckyWell [14K]

Answer:

Decreases

Step-by-step explanation:

We need to determine the integral of the DE;

$dP/dt=P(aP-b)$

$dP=P(aP-b)dt$

$1/(dP^2-bP)dP=dt$

We can solve this by integration by parts on the left side. We expand the fraction 1/P²:

$1/(d-b/P)\cdot{P^2} dP$

let

$u=d-b/P$

$du/dP=b/P^2$

$dP=$ $\int\limits {P^2/b} \, du$

$P=lnu/b$

Substitute u in:

$P=ln(d-b/P)/b$

Therefore the equation is:

$ln(d-b/P)/b=t$

We simplify:

$d-b/P=e^b^t$

$P=b/(d-e^b^t)$

As t increases to infinity P will decrease

6 0

3 years ago

when graphed on a coordinate plane, Bumby avenue can be represented by the equation y=-4x-7. Primrose Avenue can be represented

Lilit [14]

The complete question is;

when graphed on a coordinate plane, Bumby avenue can be represented by the equation y = -4x - 7. Primrose Avenue can be represented by the equation 8x + 2y = 17. Are these two parallel?

A) They are parallel because their slopes are the same

B) They are not parallel because their slopes are the same

C) They are parallel because their slopes are opposite reciprocals

D) They are not parallel because their slopes are opposite reciprocals

Answer:

Option D: They are not parallel because their slopes are opposite reciprocals

Step-by-step explanation:

Bumby avenue is represented by the equation y = -4x - 7 while Primrose Avenue can be represented by the equation 8x + 2y = 17.

Now, the general formula for slope intercept is;. y = mx + c.

Where m is the slope and c is the y - intercept.

This means the slope of bamby is - 4 while that of Primrose is 8.

The slopes are not the same and so options A and B are not correct.

Now, -4 is an opposite reciprocal of 8/-2.

But an opposite reciprocal means that both lines on the graph are perpendicular to each other.

Thus, option C is wrong because they are not parallel.

So correct option is D.

7 0

3 years ago

Help me please !!!!!

kupik [55]

Answer: inverse functions

Step-by-step explanation:

Inverse functions are symmetrical about the y=x axis. You could dot that line in by plotting points like (-4,-4) (-3,-3) (-1,-1) (0,0) (1,1) (3,3) etc. Then since you could fold the graph on that dotted axis and the two lines match up, you know they are inverses of each other.

6 0

3 years ago