FRom your description < 1 and < 8 are alternate exterior angles
Answer:
2i, if you don't understand any of the steps let me know, I'd be happy to explain.
Step-by-step explanation:
so in order -4 = -1 * 4 so then
then just solve each
Answer:
See below.
Step-by-step explanation:
Alexi originally has $43 in his bank account and deposits $7 per week.
Week 1: $50
Week 2: $57
Week 3: $64
Week 4: $71
Week 5: $78
The pattern is that it increased $7 every week starting from $43.
A pattern rule would be: y = 7x + 43 where x represents the number of weeks.
Answer: A.
Step-by-step explanation:
Danika has 1/4 lb apple and a 3/16 apple. We have to find a common denominator to be able to subtract them. We can do this by finding out 4 times how much equals 16. Which is 4. So you multiply both of the numbers by 4, (1x4 = 4 , 4x4 = 16) being 4/16. Now you just have to subtract the top numbers "4-3 = 1" 1/16.
Answer:
5.44 cm³
Step-by-step explanation:
The volume of the hexagonal nut can be found by multiplying the area of the end face by the length of the nut. The end face area is the difference between the area of the hexagon and the area of the hole.
The area of a hexagon with side length s is given by ...
A = (3/2)√3·s²
For s=1 cm, the area is ...
A = (3/2)√3(1 cm)² = (3/2)√3 cm²
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The area of a circle is given by ...
A = πr²
The radius of a circle with diameter 1 cm is 0.5 cm. Then the area of the hole is ...
A = π(0.5 cm)² = 0.25π cm²
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The volume is the face area multiplied by the length, so is ...
V = Bh = ((3/2)√3 -0.25π)(3) . . . . . cm³
V = (9/2)√3 -0.75π cm³ ≈ 5.44 cm³
The volume of the metal is about 5.44 cm³.