Answer:
286
Step-by-step explanation:
you have 22 teachers and the ratio is 1 teachers for 13 students.
So 22teachers × 13students = 286 students
The area of all 3 lateral triangular faces will be found by using the formula for area of a triangle.
A = 1/2bh
Face 1:
1/2 x 3 x 5
A = 7.5 square cm
Face 2:
1/2 x 4 x 5
A = 10 square cm
Face 1:
1/2 x 5 x 5
A = 12.5 square cm
12.5 + 7.5 + 10 = 30 square cm
The area of the lateral faces is 30 square cm.
Answer:
R = √2
α = π/4 or 45°
Step-by-step explanation:
R cos(2n + α)
Use angle sum formula:
R [cos(2n) cos α − sin(2n) sin α]
R cos(2n) cos α − R sin(2n) sin α
Match the coefficients:
R cos α = 1
R sin α = 1
Divide:
tan α = 1
α = π/4 or 45°
Solve for R:
R cos(π/4) = 1
R / √2 = 1
R = √2
There is only 20 different ways you can do for 1 topping and 1 cheese for this question. Because every topping(10) on every cheese(2) gives you 20 different choices you can have a pizza.
Answer:
The temperature at the base camp Friday evening is - 6 degrees Celsius.
Step-by-step explanation:
To get the temperature at a mountain base camp on Friday evening, we must translate statement into a mathematical form:
(i) <em>The temperature at a moutain base camp was - 2 degress Celsius on Thursday</em>:

(ii) <em>Friday morning, the temperature was 1 degree Celsius lower than it was on Thursday</em>:

(iii) <em>Friday evening, the temperature was 3 degrees Celsius lower that it was that morning</em>:

The temperature at the base camp Friday evening is:



The temperature at the base camp Friday evening is - 6 degrees Celsius.