Answer:
He received 10 dimes and 15 quarters.
Step-by-step explanation:
Dimes = $0.10
Quarters = $0.25
Variable x = dimes
Variable y = quarters
Create a pair of linear equations:
0.10x + 0.25y = 4.75
x + y = 25
Isolate any variable, using an equation of your choice:
x + y = 25
x = 25 - y
Plug in this new value of x into the other equation:
0.10(25 - y) + 0.25y = 4.75
Use the distributive property:
2.5 - 0.10y + 0.25y = 4.75
Combine like terms:
2.5 + 0.15y = 4.75
Isolate variable y:
0.15y = 2.25
y = 15
Plug in the value of y into any equation:
x + y = 25
x + 15 = 25
Isolate variable x:
x = 10
Sin x = square root (2) / 2
In order for us to get for cos x and tan x, first we need to know what
Hypotenuse, Adjacent, and Opposite sides.
sin x = opposite / hypotenuse.
adjacent = square root (hypotenuse^2 - opposite^2)
adjacent = square root (2^2 - square root(2)^2)
adjacent = square root (4 - 2)
adjacent = square root (2)
cos x = adjacent / hypotenuse
tan x = opposite / adjacent..
cos x = square root (2) / 2
tan x = square root (2) / <span>square root (2) = 1
So, </span>cos x = square root (2) / 2 and tan x<span> = 1</span>
Answer:
3. Sides: Equilateral
Angles: Acute
4. Sides: Isosceles
Angles: Right
Step-by-step explanation:
3. Sides: Equilateral because in an equilateral triangle all sides are equal.
Angles: Acute because in an acute triangle all angles are acute.
4. Sides: Isosceles because in an isosceles triangle two legs are equal.
Angles: Right because in a right triangle, one angle is right.
Strike is the way that
the noise made on the hour it’s described. Each hour corresponds to a
specific strike, 1 has 1 strike, 2 have 2 strikes, 3 have 3 strikes, and so on.
The solution would be like
this for this specific problem:
1 + 2 +3 + 4 + 5 + 6 + 7 + 8 + 9 +
10 + 11 + 12 = 78 strikes for a 12 hours
78 * 2 = 156 (since a day has 24
hours)
So it
will strike 156 times per day. I am hoping that this answer has
satisfied your query and it will be able to help you in your endeavor, and if
you would like, feel free to ask another question.
Answer:
x^2 + x + 2 = 0.
Step-by-step explanation:
The discriminant b^2 - 4ac is < 0 for complex roots.
So we can choose appropriate values for a, b and c.
Let b = 1, a = 1 and c = 2 so b^2 - 4ac = 1 - 4*1*2 = -7.
So our equation is:
x^2 + x + 2 = 0.
