Answer:
Black = 84 cm^2
Blue = 84cm^2
gold = 60.2cm^2
1 ornament = 228.2 cm^2
100 ornaments - 22820 cm^2
Step-by-step explanation:
Black is a rectangle = A = l*w = 7*12 = 84 cm^2
We have 2 blue This is a triangle so multiply by 2 the area of a triangle
2 * A = 2(1/2 b*h) = bh = 12*7 = 84 cm^2
We have 2 gold This is a triangle so multiply by 2 the area of a triangle
2 * A = 2(1/2 b*h) = bh = 8.6*7 = 60.2 cm^2
The total surface area for one ornament is
84+84+60.2 = 228.2
100 ornaments
Multiply by 100
100 *228.2 = 22820 cm^2
Answer:
its 34
Step-by-step explanation:
Answer:
See Explanation
Step-by-step explanation:
8. (1)
Area of trapezoid = 1/2(sum of || sides) *perpendicular distance
36 =1/2(x+ y) * 6
36 = ((x + y)*3
36/3 = x + y
12 = x + y
x + y = 12.... (1)
8(2)
It is given that:
x = 2y....(2)
From equations (1) & (2)
2y + y = 12
3y = 12
y = 12/3
y = 4
From equation (2)
x = 2y = 2*4
x = 8
9.
Area of square = 1 square m
Side of square = 1 m
Area of circle = 1 square m
Answer:
2) Equation 1 and Equation 2 have the same number of solutions.
Step-by-step explanation:
The two given equations are
1) 15x + 6 = 41 and 2) 2x + 13 = 28
Solving both equations, we get
Solving (1) : 15x + 6 = 41 ⇒ 15x = 41 - 6 = 35
or, x = 35/15 ⇒ x = 7/3
Solving (2) : 2x + 13 = 28⇒ 2x = 28 - 13 = 15
or, x = 15/2 ⇒ x = 15/2
So, from above solutions we can say that Equation 1 and Equation 2 have the same number of UNIQUE solution.
Tgα = tan(α) = sqrt(2)/1 = opposite/ adjacent
opposite = sqrt(2)
adjacent = 1
hypotenuse = sqrt(opposite^2 + adjacent^2)
= sqrt(sqrt(2)^2 + 1^2) = sqrt(3)
sin(α) = opposite/hypotenuse
= sqrt(2)/sqrt(3)
cos(α) = adjacent/hypotenuse
= 1/sqrt(3)
now we can calculate the value of
5sin²α+3cos²α / 3sin²α-5cos²α
... do the math
