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bazaltina [42]
4 years ago
14

What is the domain of the function graphed?

Mathematics
1 answer:
MissTica4 years ago
4 0

Answer:

D) all real numbers

Step-by-step explanation:

The domain is the input values, in this case the x values

What x values can we use

x goes from - infinity to plus infinity, so it is all real numbers

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Consider the 30°-60° right triangle shown whose hypotenuse is equal to one. Clearly this triangle is half of an equilateral tria
Bad White [126]

Answer:

Step-by-step explanation:

Given triangle ABC is a right triangle.

m∠ACB = 60°

m∠CAB = 30°

m(AC) = 1 unit

A). Shorter side of the given triangle = Side BC

By applying cosine rule,

cos(∠C) = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

cos(60°) = \frac{BC}{AC}

BC = \frac{1}{2}(AC)

BC = \frac{1}{2}

Length of the shorter side = 0.5 units

B). Longer side of the given triangle = side AB

By applying Pythagoras theorem in the given triangle,

AC² = AB² + BC²

1² = AB² + (\frac{1}{2})^2

1 = AB² + \frac{1}{4}

AB = \sqrt{1-\frac{1}{4}}

AB = \sqrt{\frac{3}{4}}

AB = \frac{\sqrt{3} }{2}

Length of the longer side = \frac{\sqrt{3}}{2}

3 0
3 years ago
How much do you have to add to 3/2 to make it equal to the sum of 11/5 and 4 1/2?
nordsb [41]

Step-by-step explanation:

sum is addition

3/2+x=11/5+4 1/2

get x alone by using opposite operation to get 3/2 on other side of equal sign

3/2 is being added to x, so the opposite is subtracting

3/2-3/2+x=11/5+4 1/2-3/2

3/2 cancels out on the left

x=11/5+4 1/2-3/2

need same denominator, all denominators are factors of 10

2×5

multiply top and bottom of each fraction to get denominator of 10

(11/5)*(2/2)

(4/1)*(10/10) and (1/2)*(5/5)

(3/2)*(5/5)

multiply top and bottom and add

x=(22/10)+(4/10)+(5/10)-(15/10)

add all numerators

x=(22+4+5-15)/10

x=16/10

now simplifydivide by 2 on top and bottom

x=(16/10)÷(2/2)

x=8÷5

5/5 is 1, and there is 3/5 left

so x=1 3/5

3 0
2 years ago
Don Tinsley lends $5,500 at a rate of 5.5%. Find how long it will take for his investment to earn $205 in interest. Round to the
never [62]
Well i would say 1 day then because he earns 302 dollars per day.
8 0
4 years ago
Read 2 more answers
A taxi cab in myrtle beach charges 2$ per mile and 1$ for every person. If a taxi cab ride for two people costs $12 how far did
Dima020 [189]

Answer:

The total number of miles traveled was 5 miles.

Step-by-step explanation:

1 x 2 = 2 people

12 - 2 = 10

10 divided by 2 = 5 miles

So the total number of miles traveled was 5 miles.

8 0
3 years ago
What is the conversion factor you can use to convert gallons to pint?
loris [4]
There are 8 pints in a gallon 
7 0
3 years ago
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