A teacher asked students in his class if they had any brothers or sisters. The results are shown below. What is the chance of ra
1 answer:
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Answer:
The weights of each cylinder and prism are 3 and 4 ounces, respectively.
Step-by-step explanation:
Let be and
the masses of a cylinder and a prism, measured in ounces, respectively. After a careful reading of the statement we get the following linear equations by interpretation:
i) <em>She found that 4 cylinders and 5 prisms weigh 32 ounces:</em>
(Eq. 1)
ii) <em>And that 1 cylinder and 8 prisms weigh 35 ounces:</em>
(Eq. 2)
Now we solve the system of linear equations algebraically:
From (Eq. 2):
(Eq. 2) is (Eq. 1):
From (Eq. 2):
The weights of each cylinder and prism are 3 and 4 ounces, respectively.
Answer:
The area of the shaded region is 148.04 cm².
Step-by-step explanation:
It is provided that a 7 cm × 5 cm rectangle is inside a circle with radius 6 cm.
The sides of the rectangle are:
l = 7 cm
b = 6 cm.
The radius of the circle is, r = 6 cm.
Compute the area of the shaded region as follows:
Area of the shaded region = Area of rectangle - Area of circle
Thus, the area of the shaded region is 148.04 cm².