Answer:
EF ≈ 1.98
Step-by-step explanation:
Using the sine ratio in the right triangle
sin26° = 
= 
= 
( multiply both sides by 4.5 )
4.5 × sin26° = EF
4.5 × 0.44 = EF , that is
EF ≈ 1.98 ( to 2 dec. places )
Just for you beautiful!
Use distance formula: d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
(11,-4) is (x1,y1) and (-12,-4) is (x2,y2)
Plug in and simplify
d = sqrt((-12 - 11)^2 + (-4 - -4)^2)
d = sqrt((-23)^2 + (0)^2)
d = sqrt(529 + 0)
d = sqrt(529)
d = 23 (positive because length cannot be negative) ;)
The surface area of the figure is 96 + 64π ⇒ 1st answer
Step-by-step explanation:
* Lats revise how to find the surface area of the cylinder
- The surface area = lateral area + 2 × area of one base
- The lateral area = perimeter of the base × its height
* Lets solve the problem
- The figure is have cylinder
- Its diameter = 8 cm
∴ Its radius = 8 ÷ 2 = 4 cm
- Its height = 12 cm
∵ The perimeter of the semi-circle = πr
∴ The perimeter of the base = 4π cm
∵ The area of semi-circle = 1/2 πr²
∴ The area of the base = 1/2 × π × 4² = 8π cm²
* Now lets find the surface area of the half-cylinder
- SA = lateral area + 2 × area of one base + the rectangular face
∵ LA = perimeter of base × its height
∴ LA = 4π × 12 = 48π cm²
∵ The dimensions of the rectangular face are the diameter and the
height of the cylinder
∴ The area of the rectangular face = 8 × 12 = 96 cm²
∵ The area of the two bases = 2 × 8π = 16π cm²
∴ SA = 48π + 16π + 96 = 64π + 96 cm²
* The surface area of the figure is 96 + 64π
Answer:
4365.5 or 4365 1/2
Step-by-step explanation:
When you divide 8731 by 2 you will get a decimal.
But you will also get a fraction which is 4365 1/2.
Now you will have to answer with the for that best fits your problem.
Answer:
Since there are 6 sides to a cube, the probability of rolling anything but 5 is five out of six.
Fraction is 5/6
To find the decimal, divide 5 by 6 and round to the nearest hundredth
Decimal is 0.83
Then to find the percent you slide the decimal over two spaces.
Percent is 83%
The ratio is 5:6\
