Answer:
(2,8)
Step-by-step explanation:
When you reflect over the y-axis, you change the x to the opposite sign
y reflection → (-x,y)
Answer:
Step-by-step explanation:
The area of a circle is A = πr², where r is the radius. That means in order to solve this we have to find the value of x, which is the diameter of the lake, and then divide it in half to get the radius. To find x we will use similar triangles and proportions. x is the height of the big triangle and 4.5 is the height of the smaller triangle; 15.3 + 7.4 is the hypotenuse of the big triangle and 7.4 is the hypotenuse of the smaller triangle. Setting up our proportion:
which simplifies a bit to
and cross multiply to solve for x:
7.4x = 102.15 so
x = 13.8 That is the diameter of the lake. Divide it in half to get 6.9, the radius. Applying the area formula for a circle:
A = (3.14)(6.9)² and
A = 3.14(47.61) so
A = 149.5 which rounds to 150, Choice C
Answer:
d. steam-water equilibrium at 373 K
Step-by-step explanation:
At one atmospheric pressure , the boiling point of water is 100°C or 273+100 = 373 K in kelvin temperature scale.
so at this temperature vapor pressure of water and steam are in equilibrium .
Answer:
12
Step-by-step explanation:
5^2 + p^2 = (p+1)^2
25 + p^2 = p^2 + 2p + 1
25 = 2p + 1
24 = 2p
12 = p
Answer:
A = 25.758 m²
Step-by-step explanation:
Width of the sand pit, b = 2.7 m
Length of the sand pit, l = 9.54 m
We want to cover the sand pit with a piece of plastic. We need to find how many square meters of plastic will be needed to cover the sand pit. It is equal to the area of sand pit. It is in the shape of rectangle. Its area is given by :
A = l × b
A = 2.7 × 9.54
A = 25.758 m²
So, 25.758 m² of plastic will be needed to cover the sand pit.
