Answer:
-75/48
Step-by-step explanation:
multiply 5 by 15
and 6 by 8
5x15 is 75 , put it in numerator
6x8 is 48 , denominator
then the answer should have the negative sign
Answer:
r⁶
Step-by-step explanation:
Cancel the common factors or r⁹ and r³
Answer:
For question 1 it's B
For question 2 it's C
Step-by-step explanation:
<u>For question 1, you have to apply the "Triangle Inequality Theorem"</u>
A+B > C
B+C > A
A+C > B
Let's say that A=22, B=17, C= 14
22+17 > 14 True
17+14 > 22 True
22+14 > 17 True
Therefore, the answer is B
<u>For question 2, you apply the rule of the sum of the triangles which is 180°</u>
70+70+? = 180
140+? = 180
? = 40
Therefore, it's C
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
__
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
__
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.
Total number of people in the department = 6 + 8 + 14 + 7 = 35
Total males = 6 + 14 = 20
Total female professor = 8
Total males or professor = 20 + 8 = 28
