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4 years ago

2. Apples cost $0.99 per pound. Aaliyah has a

Mathematics

1 answer:

UkoKoshka [18]4 years ago

4 0

Answer:

a= about 2.7 pounds of apples

Step-by-step explanation:

2.14=0.99a-0.50

2.64=0.99a

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In the diagram below, assume that all points are given in rectangular coordinates. Determine the polar coordinates for each poin

Korolek [52]

Step-by-step explanation:

We have cartisean points. We are trying to find polar points.

We can find r by applying the pythagorean theorem to the x value and y values.

$r {}^{2} = {x}^{2} + {y}^{2}$

And to find theta, notice how a right triangle is created if we draw the base(the x value) and the height(y value). We also just found our r( hypotenuse) so ignore that. We know the opposite side and the adjacent side originally. so we can use the tangent function.

$\tan(x) = \frac{y}{x}$

Remeber since we are trying to find the angle measure, use inverse tan function

$\tan {}^{ - 1} ( \frac{y}{x} ) =$

Answers For 2,5

${2}^{2} + {5}^{2} = \sqrt{29} = 5.4$

So r=sqr root of 29

$\tan {}^{ - 1} ( \frac{5}{2} ) = 68$

So the answer is (sqr root of 29,68).

For -3,3

${ -3 }^{2} + {3}^{2} = \sqrt{18} = 3 \sqrt{2}$

$\tan {}^{ - 1} ( \frac{3}{ - 3} ) = - 45$

Use the identity

$\tan(x) = \tan(x + \pi)$

So that means

$\tan(x) = 135$

So our points are

(3 times sqr root of 2, 135)

For 5,-3.5

${5}^{2} + {3.5}^{2} = \sqrt{37.25}$

$\tan {}^{ - 1} ( \frac{ - 3.5}{ - 5} ) = 35$

So our points are (sqr root of 37.25, 35)

For (0,-5.4)

${0}^{2} + { - 5.4}^{2} = \sqrt{} 29.16 = 5.4$

So r=5.4

$\tan {}^{ - 1} (0) = undefined$

So our points are (5.4, undefined)

4 0

3 years ago

I WILL GIVE BRILLIANTS

Phoenix [80]

(1) 34.8 liters

(2) $63.55

Solution:

(1) There is a mistake in question. It is 42 liters.

Total gasoline a car can hold = 42 liters

Liters of gasoline filled in beginning of the week = 35.8

Liters of gasoline used during the week = 28.6

Remaining liters of gasoline in the tank = 35.8 – 28.6

= 7.2 liters

Quantity of gasoline need to buy to fill the tank completely

= Total capacity – Remaining gas in the tank

= 42 liters – 7.2 liters

= 34.8 liters

Hence Alberto need to buy 34.8 liters of gasoline to fill the tank.

Option B is the correct answer.

(2)

Shamika earns in first week = $25.75

Shamika earns in next week = $37.80

Total money Shamika have = First week earning + Second week earning

= $25.75 + $37.80

= $63.55

Don't add or subtract spending money, because the question is how much she have from these two weeks.

Hence Shamika have $63.55 from these two weeks.

8 0

3 years ago

What is a equation phrase

stiks02 [169]

Equation. Meaning. Expression is a mathematical phrase which combines, numbers, variables and operators to show the value of something. An equation is a mathematical statement wherein two expressions are set equal to each other

7 0

3 years ago

What are the domain and range of f(x) = (1/6)^x + 2?

Setler [38]

Answer: The domain of f(x) is all real numbers, $(-\infty,\infty)$ and range of f(x) is $(2,\infty)$ .

Explanation:

The given function is,

$f(x)=(\frac{1}{6})^x+2$

The domain is the set of all possible values for which the value of function exist.

The given function is defined for any real value of x, therefore the domain of the function is set of all real number. it can be written in interval notation $(-\infty,\infty)$ .

The range is the set of possible value of f(x) at different value of x. Range is the set of outputs.

In the given function,

$(\frac{1}{6})^x>0$