Answer:
3x + 10cm
Step-by-step explanation:
This is calculated as:
Length of Tom's pencil - Length is Ellen's pencil
Length of Tom's pencil: 5x+25cm long.
Length of Ellen's pencil : 2x+15cm long.
(5x + 25)cm - (2x + 15)cm
5x + 25 - 2x - 15
5x - 2x + 25 - 15
3x + 10 cm
Therefore, Tom's pencil is 3x + 10cm longer is than Ellen's.
Answer:
y = -
x + 2
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
rearrange 2x + 3y = 6 into this form
subtract 2x from both sides
3y = - 2x + 6 ( divide all terms by 3 )
y = -
x + 2 ← in slope-intercept form
Answer: F
Step-by-step explanation:
For a 30-60-90 triangle, we know that the hypotenuse is 2x. Since we know the hypotenuse is 10, we can solve for x.
2x=10
x=5
Now that we know x is 5, we can use this to solve for s and q. The side across from 30° is just x. Since we know x, s is 5.
The side across from 60° is x√3. Since we know what x is, we can just plug in. q is 5√3.
The answer will depend how many buttons does the baby have. You just have to add all the buttons together, and that will be your answer.
So 4+3+green buttons =the answer
Answer:
82.8 in²
Step-by-step explanation:
The surface area a triangular based pyramid :
Base area + 1/2(perimeter * slant height)
Base = 8 inches ; Slant height = 4.6 inches ; altitude of base measure = 6.9 inches
Base area of triangle :
1/2 * base * height
1/2 * 8 * 6.9
4 * 6.9
Base area = 27.6 in²
The perimeter, P = sum of sides ; (s1 + s2 + s3
P = 8 + 8 + 8 = 24 in
Hence,
Surface area = 27.6 in² + 1/2(24*4.6)
Surface area = 27.6 in² + (12 * 4.6) in²
Surface area = (27.6 + 55.2)
Surface area = 82.8 in²