Answer:
7:12
Step-by-step explanation:
21 and 36 are both multiples of 3.
3 times 7 is 21, and 3 times 12 is 36.
Now, this ratio becomes: 3 x 7 : 3 x 12
Dividing by 3 on both sides,, we have: 7:12. The ratio 7:12 can't be simplified further, so that's the answer.
Let me know if this helps!
Answer:
9.83cm
Step-by-step explanation:
Since we are not asked what to look for. We can find the height of the wall.
Let the height of the wall be H
Given
Length of the ladder l = 12fot
Angle of elevation = 55degrees
Required
Height of wall H
Using the SOH CAH TOA identity
SIn theta = opp/hyp
Sin 55 = H/12
H - 12sin55
H = 12(0.8192)
H = 9.83cm
Hence the height of the ladder is 9.83cm
Answer:
The space on each side of the painting = 2 feet
Step-by-step explanation:
Attached this answer is a diagram to give you visuals on how the value of x is calculated
Given:
width of wall = 10 feet
width of painting = 6 feet
Since the painting is centred on a wall, there is meant to be an equal space on each side of the painting, from the diagram, the following eaquation can be gotten
x + 6 + x = 10
2x + 6 = 10
2x = 10 - 6
2x = 4
x = 4 ÷2
x = 2 feet
Therefore, the space on each side of the painting = 2 feet
Answer:
The standard form of the equation is y = 2x^2 + 16x + 25
Step-by-step explanation:
To find the standard form, first square the parenthesis.
y = 2(x + 4)^2 - 7
y = 2(x^2 + -8x + 16) - 7
Now distribute the 2
y = 2(x^2 + 8x + 16) - 7
y = 2x^2 + 16x + 32 - 7
Now combine like terms
y = 2x^2 + 16x + 32 - 7
y = 2x^2 + 16x + 25
The answer is 1/4 because it is 8 sections but there is two of each color
