Answer:
the answer is D: 294 sq. cm
Step-by-step explanation:
first you want to split the net into 4 triangles and 1 rectangle
a = 12 cm
b = 6 cm
d = 13 cm
calculate the surface area of the pyramid...
1st find the area of the rectangle base
Rectangle base area
b x a = (6 cm) (12 cm)
= 72 sq. cm
next find the area of the triangle on the left
Left triangle
1/2(b)(d) = 1/2 (6 cm)(13 cm)
= 1/2 (78 sq cm)
= 39 sq. cm
Since all the triangles are congruent (same), you will need to multiply by 2 to get the combined area of the triangle on the left and on the right.
Area of left & right triangles
= 2 (39 sq. cm)
= 78 sq. cm
Find the area of the triangle on the bottom
Bottom triangle area = 1/2 (a)(a)
= 1/2 (12 cm) (12 cm)
= 1/2 (144 sq. cm)
= 72 sq. cm
Since the bottom of the triangle is congruent to the top triangle, multiply that by 2 to get a combined area of the triangle on the bottom and top
Area of top & bottom triangles
2 (72 sq. cm) = 144 sq. cm
Finally...add the area of the 4 triangles to the area of the rectangular base
72 + 78 + 144 = 294 sq. cm
Answer:
Step-by-step explanation:
As we know that in an hour there are 3600 seconds so
1.8 x 3600 = 6480
6480 / 1609 = 4.02 miles / hr
4.02 - 2.5 = 1.5( by substracting the speed)
so correct option is D which is
Talia swims about 1.5 miles per hour faster than Alina
hope it helps
2. 22
6. 12
7. 420x^3
10. 7
14. 1
Answer:
x = 2
Step-by-step explanation:
Rearrange terms
Subtract from both sides of the equation
Simplify
Divide both sides of the equation by the same term
Simplify
If you have like this again type it into a search engine it will answer
that's
where I got this
Answer:
x = -7/40
, y = -11/20
Step-by-step explanation:
Solve the following system:
{12 x - 2 y = -1 | (equation 1)
4 x + 6 y = -4 | (equation 2)
Subtract 1/3 × (equation 1) from equation 2:
{12 x - 2 y = -1 | (equation 1)
0 x+(20 y)/3 = (-11)/3 | (equation 2)
Multiply equation 2 by 3:
{12 x - 2 y = -1 | (equation 1)
0 x+20 y = -11 | (equation 2)
Divide equation 2 by 20:
{12 x - 2 y = -1 | (equation 1)
0 x+y = (-11)/20 | (equation 2)
Add 2 × (equation 2) to equation 1:
{12 x+0 y = (-21)/10 | (equation 1)
0 x+y = -11/20 | (equation 2)
Divide equation 1 by 12:
{x+0 y = (-7)/40 | (equation 1)
0 x+y = -11/20 | (equation 2)
Collect results:
Answer: {x = -7/40
, y = -11/20
