The answer is c. 72cm^2
for each section of the prism you multiply the length times the width and then add all of the numbers together to get 72
Answer:
I know this might not be a solid answer but its out of B or C but most likely B because they are all on the side of the triangle so pretty much B
Answer:
The next number is 127
Step-by-step explanation:
The sequence is the previous number times 2 plus one.
Answer:
Step-by-step explanation:
The quadrilateral has 4 sides and only two of them are equal.
A) to find PR, we will consider the triangle, PRQ.
Using cosine rule
a^2 = b^2 + c^2 - 2abcos A
We are looking for PR
PR^2 = 8^2 + 7^2 - 2 ×8 × 7Cos70
PR^2 = 64 + 49 - 112 × 0.3420
PR^2 = 113 - 38.304 = 74.696
PR = √74.696 = 8.64
B) to find the perimeter of PQRS, we will consider the triangle, RSP. It is an isosceles triangle. Therefore, two sides and two base angles are equal. To determine the length of SP,
We will use the sine rule because only one side,PR is known
For sine rule,
a/sinA = b/sinB
SP/ sin 35 = 8.64/sin110
Cross multiplying
SPsin110 = 8.64sin35
SP = 8.64sin35/sin110
SP = (8.64 × 0.5736)/0.9397
SP = 5.27
SR = SP = 5.27
The perimeter of the quadrilateral PQRS is the sum of the sides. The perimeter = 8 + 7 + 5.27 + 5.27 = 25.54 cm
X=3, y=3
Solve the following system:
{4 x + 2 y = 18 | (equation 1)
2 x + 3 y = 15 | (equation 2)
Subtract 1/2 × (equation 1) from equation 2:
{4 x + 2 y = 18 | (equation 1)
0 x+2 y = 6 | (equation 2)
Divide equation 1 by 2:
{2 x + y = 9 | (equation 1)
0 x+2 y = 6 | (equation 2)
Divide equation 2 by 2:
{2 x + y = 9 | (equation 1)
0 x+y = 3 | (equation 2)
Subtract equation 2 from equation 1:
{2 x+0 y = 6 | (equation 1)
0 x+y = 3 | (equation 2)
Divide equation 1 by 2:{x+0 y = 3 | (equation 1)
0 x+y = 3 | (equation 2)
Collect results:Answer: {x = 3
y = 3
