Answer:
Step-by-step explanation:
Please find the attachment.
We have been given that a container is shaped like a triangle prism. Each base of container is an equilateral triangle with each side 6 cm. The height of container is 15 cm.
To find the lateral surface area of our given container we will use lateral surface area formula of triangular prism.
, where, a, b and c represent base sides of prism and h represents height of the prism.
Upon substituting our given values in above formula we will get,
![\text{Lateral surface area of container}=(\text{6 cm+ 6 cm+6 cm})*\text{15 cm}](https://tex.z-dn.net/?f=%5Ctext%7BLateral%20surface%20area%20of%20container%7D%3D%28%5Ctext%7B6%20cm%2B%206%20cm%2B6%20cm%7D%29%2A%5Ctext%7B15%20cm%7D)
![\text{Lateral surface area of container}=\text{18 cm}*\text{15 cm}](https://tex.z-dn.net/?f=%5Ctext%7BLateral%20surface%20area%20of%20container%7D%3D%5Ctext%7B18%20cm%7D%2A%5Ctext%7B15%20cm%7D)
![\text{Lateral surface area of container}=270\text{ cm}^2](https://tex.z-dn.net/?f=%5Ctext%7BLateral%20surface%20area%20of%20container%7D%3D270%5Ctext%7B%20cm%7D%5E2)
Therefore, lateral surface area of our given container is 270 square cm.
Step-by-step explanation:
A)
Janet's took 34.56 seconds to cover 50m freestyle swim.
In words it could be said as: thirty four and fifty six hundredths.
B)
Race # Time (in sec.) time( after roundoff to nearest integer)
<em> 1 34.56 35</em>
<em> 2 35 35</em>
<em> 3 34.8 35</em>
4 34.137 34
5 33.92 34
Hence, the first 3 race times were equal after rounding off to nearest integer.
C)
on arranging the time of Janet's from fastest to slowest we get the table as:
Race # Time( in sec.)
5 33.92
4 34.137
1 34.56
3 34.8
2 35
since, after decimal we arrange the numbers in order same as we do for the natural numbers.
as in race #5 '33' is the smallest among all hence we keep it in first place.
for race 4,1 and 3 we have the same digit before decimals so now we have to look for the number after decimals.
D)
Janet's time in race #4 was: 34.137 sec.
But Grace was 1.8 seconds faster than Janet.
Hence, Grace time=34.137-1.8=32.337 sec.
Answer:
9.6
Step-by-step explanation:
6.4/x = sin42
x = 6.4/sin42
x = 9.56