Answer:
C. 
Step-by-step explanation:
In a triangle, the longest side is opposite to the largest measure of angle. The medium side is opposite to the medium angle, while the shortest side is opposite to the smallest angle.
In ∆GHI,
✍️m<G = 95°, it is opposite to 
<G is the largest angle, therefore, is the longest side.
✍️m<I = 180 - (95 + 38) = 47°.
<I is opposite to 
<I is the medium angle, therefore, is the medium side.
✍️m<H = 38°, it is opposite to 
<h is the smallest angle, therefore, is the shortest side.
✅This means:
97 is a prime number. So it's only factors are 1 and 97.
The first thing we will do is assume that the prism is square based.
We have then that the edges of the base are:
P = 4L
P = 4 (8)
P = 32 cm
The edges of the top of the prism are:
P = 4L
P = 4 (8)
P = 32 cm
The edges of the prism height are:
P = 4h
P = 4 (11)
P = 44 cm
The total sum will be:
Pt = 32 + 32 + 44
Pt = 108 cm
Answer:
the sum of all edges is:
Pt = 108 cm
Answer:
Scale factor of cube to the smaller cube is 5 : 3.
Step-by-step explanation:
Ratio of the volumes of two cubes = 
= 
= 
Scale factor of these cubes = ![\sqrt[3]{\text{ratio of the volumes of the cubes}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Ctext%7Bratio%20of%20the%20volumes%20of%20the%20cubes%7D%7D)
= ![\sqrt[3]{\frac{\text{volume of large prism}}{\text{Volume of small prism}}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B%5Ctext%7Bvolume%20of%20large%20prism%7D%7D%7B%5Ctext%7BVolume%20of%20small%20prism%7D%7D%7D)
= ![\sqrt[3]{\frac{125}{27} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B125%7D%7B27%7D%20%7D)
= 
= 5 : 3
Therefore, scale factor of cube to the smaller cube is 5 : 3.
Mrs Kennedy is buying pencils for 315 students.
The pencils are sold in boxes of 10.
Therefore the number of pencils she needs to buy should be a multiple of 10, so that she can buy boxes of 10 pencils each.
number of students are 315 but 315 is not a multiple of 10
so we have to round off 315 to the nearest ten, that's 320.
so then she has to buy 320 pencils
number of boxes she needs - 320 / 10 = 32 boxes of pencils
she only needs pencils for 315 students so she will have 5 extra pencils
she will have to buy 32 boxes
