Answer:
Step-by-step explanation:
a) r = 10/2 = 5 feet
Area of floor =πr² =3.14*5*5 = 78.5 feet²
B) h = 3 foot
Volume of cylinder = πr²h = 3.14*5*5*3 = 235.5 cubic feet
Volume of hemisphere =2/3πr³= 2*3.14*5*5*5/3=261.67 cubic feet
Volume of space inside the observatory = 497.17 cubic feet
Answer:
It should be the top left graph where there is point (1,1) and (-1, -1) y = 1/x
Step-by-step explanation:
from the original graph, I see:
f(x) = 2/x because f(2) = 1 = 2/2
f(1/4)= 2/(1/4) = 2
...
so then f(2x) compresses f(x) horizontally by a factor of 2
so f(2x) = 2/(2x) = 1/x
Using cosine, we can find the hypotenuse by using the formula below;
hypotenuse = adjacent / cos ∅
<h3 /><h3 /><h3>Trigonometric ratios:</h3>
- Trigonometric ratios are ratios of sides of a right angled triangle.
- The simplest ratios are cosine, sine and tangent.
Using cosine, the hypotenuse side can be solved as follows:
cosine ∅ = adjacent / hypotenuse
cross multiply
hypotenuse cos ∅ = adjacent
divide both sides by cos ∅
hypotenuse cos ∅ / cos ∅ = adjacent / cos ∅
Therefore,
hypotenuse = adjacent / cos ∅
learn more on cosines here: brainly.com/question/10657732?referrer=searchResults
Answer:
x = 10.4
Step-by-step explanation:
1. Multiply each side by 5 to remove it as a fraction
2. it cancels out on the left leaving 10x - 4 = 100
3. Add 4 to each side canceling it out on the left and leaving 10x = 104
4. Divide each side by 10 to get x by itself
5. 10x/100 = 104/10
6. x = 10.4
True.
E.g. (x-1)(x-2) versus 100(x-1)(x-2)
They have same roots of x= 1 or 2, but the second equation is 100 times stretching of the first one vertically
