Answer:
72ft²
Step-by-step explanation:
Calculate the area of each face and then sum them.
area of base = 4 × 5 = 20 ft²
area of back = 5 × 3 = 15 ft²
area of sloping face = 5 × 5 = 25 ft²
area of 2 triangular faces = 2 × × 4 × 3 = 4 × 3 = 12 ft²
Thus
surface area = 20 + 15 + 25 + 12 = 72 ft²
Answer:
(x, y) = (8, 6)
Step-by-step explanation:
given the 2 equations
2x - y = 10 → (1)
2x - 2y = 4 → (2)
rearrange equation (1) expressing y in terms of x
y = 2x - 10 → (3)
Substitute y = 2x - 10 in equation (2)
2x - 2(2x - 10) = 4
2x - 4x + 20 = 4
- 2x + 20 = 4 ( subtract 20 from both sides )
- 2x = - 16 ( divide both sides by - 2 )
x = 8
substitute x = 8 in equation (3)
y = (2 × 8) - 10 = 16 - 10 = 6
solution is (8 , 6)
Answer:
≈77
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one. Please have a look at the attached photo.
My answer:
Given:
- Homework Avg: 93
- Quiz Avg: 84
- Test Avg: 72
- Final Exam: 60
and weights Homework at 20%, Quizzes at 30%, Tests at 40%, and the final exam at 10%
=>Jason's class average is:
= 80*20% + 84*30%+74*40%+60*10%
= 80*0.2 + 84*0.3+74*0.4+60*0.1
= 76.8
≈77
Answer:
Step-by-step explanation:
7 3/4+ (12 - 3 6/11)
31/4 + (12 - 3 6/11)
31/4 + (12 - 39/11)
31/4 + 93/11
= <u>7</u><u>1</u><u>3</u><u>/</u><u>4</u><u>4</u><u> </u><u>=</u><u> </u><u>1</u><u>6</u><u> </u><u>9</u><u>/</u><u>4</u><u>4</u>
(x/6) + 4 = 15
-4 -4
x/6 = 11
x6 . x6
x=66