Answer:
(3 S.F)
Step-by-step explanation:
Diameter of circle (D) = one side of the equilateral ∆
Circumference of the circle = πD = 48 cm
Thus:
πD = 48
Divide both sides by π
D = 
= 15.3 cm (approximated to nearest tenth)
Since all sides an equilateral ∆ are equal, therefore, and the diameter, D, of the circle given is the same as the length of one side of the ∆, therefore, all sides of the equilateral triangle would be 15.3 cm.
Recall that the area of a triangle can be found if we know lengths of the two sides of the ∆ and the measure of the included angle between both sides.
Since an equilateral ∆ has equal angles, each measuring 60°, then we already have all the information needed to calculate the area of the ∆.
Thus:
Length of the two sides = 15.3 cm and
15.3 cm
Included angle = 60°
Use the following formula:
Where,
a = 15.3 cm
b = 15.3 cm
C = 60°
Plug the values into the formula to find the area.
(3 S.F)
Answer:
The answer is 60
105 net area with filled in shape
Subtract 45 = 60 net space.
The surface area is not 35 as surface area means net a net of a shapes area.
The reasons why is they filled in the shape and used the height x width
L x H = 7 x 5 = 35
but if we subtract 12 from 35 = 60/23 and we get 2.6
2.6 x 60 = 105 + 41 + 23 = 169
13 x 13 =169
14 x sides = 13 changes.
So therefore 13 changes in 14 shapes makes the product of 13 x 14 = 182
182 has 3 shapes so 182/3 =60
Step-by-step explanation:
X-intercept: (8,0)
Y-intercept:(0,-12)
3. Translation that is 6 units to the left and 5 units up translate the point (x,y) into the point (x-6,y+5).
<u>Example:</u> if you translate the origin (0,0) 6 units to the left and 5 units up, then you obtain point (-6,5).
Answer 3: correct choice is D.
4. A reflection across the y-axis changes the x-values into opposite and y-values remain the same. Then the rule is (x,y)→(-x,y).
<u>Example:</u> if you reflect the point (2,3) across the y-axis, then you get the point (-2,3).
Answer 4: correct choice is B.
3/4 0.76 is one and 1/6 0.16
