Capucine played a game where she earned 179 points from building 11 museums and 4 libraries.
Lets assume x points she earn per library
She earns 4 more points for museum than library.
4 more points per museum per x . so the points earned per museum is x+4
she earned 179 points from 11 museums and 4 libraries.
So the equation becomes
( subtract 44 from both sides)
(divide by 15 from both sides)
x = 9
She earns 9 points per library
We know points per museum = x+4 = 9+4 = 13
She earns 13 points per museum .
Answer:
3d = 6
Step-by-step explanation:
since the distance is 6 feet, 3 times the distance (d) would give you the equation, 3d= 6.
:)
Answer:
rational
Step-by-step explanation:
For this problem, I think there is no need for the details of 12 inches width and 4 inches length. This is because an equation is already given. It was clearly specified that A as a function of θ represents the area of the opening. Then, we are asked to find exactly that: the area of opening. Moreover, the value of θ was also given. Therefore, I am quite sure that the initial details given are for the purpose of red herring only.
So, all we have to do is substitute θ=45° to the function given.
A = 16 sin 45° ⋅ (cos 45° + 1)
The angle 45° is a special angle in trigonometry. So, it would be easy to remember trigonometric functions of this angle. Sine of 45° is equal to √2/2 while cosine of 45° is also √2/2.
A = 16(√2/2) ⋅ (√2/2 + 1)
A = 8+8√2
A = 19.31 square inches
Answer:
Amplitude increases and the period decreases
Step-by-step explanation:
Here, we are to compare amplitude change and period change
The first equation is;
y = sin x
The second is
y = 3 sine (2/3)x
Generally, the equation of a sine graph can be written as;
y = a sin (bx + c)
where a represents the amplitude and b refers to the period
In the first equation , a = 1 while in the second , a = 3 ; This shows an amplitude increase
In the first equation, b = 1 while in the second equation b = 2/3; this shows a period decrease
