Answer: 342 cm³
Step-by-step explanation: To find the volume of the rectangular prism, start with the formula for the volume or a prism.
Volume = length × width × height
Since we are not sure what the length, width, or height is in this problem, we can plug any of these numbers in for the length, width, or height. The commutative property of multiplication states that changing the order of the factors does not change the product.
Volume = (19 cm) (9 cm) (2 cm)
Volume = 342 cm³
Therefore, the volume of the rectangular prism is 342 cm³.
Yo sup??
y=(x+4)(x-2)
to find the x intercept put y=0
0=(x+4)(x-2)
so either x=-4 or x=2
Therefore the graph intersects the x axis at -4 and 2
Lenght of x intercept=|-4-2|=6 units
y=(x+4)(x-2)
=x^2+2x-8
This is an upward opening parabola
To find the coordinates of the vertex we can apply the formula
(-b/2a,-D/4a)
b=2
a=1
D=b^2-4ac
=4-4*1*(-8)
=4+32=36
Vertex=(-2/2*1,-36/4*1)
=(-1,-9)
Hope this helps.
Answer:
Ratio of circumferences: 
Ratio of radii:
Ratio of areas: 
Step-by-step explanation:
Hi there!
We are given:
- The circumference of Circle K is 
- The circumference of Circle L is 
Therefore, the ratio of their circumferences would be:
⇒ when simplified
The formula for circumference is 
, where <em>r</em> is the radius. To find the ratio of the circles' radii, we must identify their radii through their given circumferences.
If the circumference of Circle K is , or 
, then its radius is 
.
If the circumference of Circle L is , then its radius is 
, which is 2.
Therefore the ratio their radii would be:
⇒ 
⇒ when simplified
The formula for area is:
First, let's find the area of Circle K:
Now, let's find the area of Circle L:
Therefore, the ratio of their areas would be:
⇒ 
⇒ 
⇒ when simplified
I hope this helps!
Answer:
45,135,315,225
Step-by-step explanation:
2cos^2x = 1
Divide each side by 2
cos^2x = 1/2
Take the square root of each side
sqrt( cos^2 x) = ±sqrt (1/2)
cos x =±sqrt (1/2)
Make into two separate equations
cos x =sqrt (1/2) cos x = - sqrt(1/2)
Take the inverse cos of each side
cos ^-1 cos (x) = cos ^-1 (sqrt (1/2)) cos ^-1 cos (x) = cos ^-1 (-sqrt (1/2))
x = cos ^-1 (sqrt (1/2)) x = cos ^-1 (-sqrt (1/2))
x = 45 +360 n x = 135+ 360n
x = 315+360 n x =225+360n
Between 0 and 360
45,135,315,225
Answer:
1/2
Step-by-step explanation:
First square area = 4cm^2, thus the side length is 2cm
Second square area = 16cm^2, thus the side length is 4cm
This gives a ratio of 2/4, simplifying yields 1/2
