6.Sherman read 154 pages of a book in 4 days. He read 32 pages on each day of the first 2 days and y pages on the third.Which equation can be used to find p, the number of pages Sherman read on the fourth day?
A.p=154-32(2xy)
B.p=154-(32x2)-y
C.p=154-2(32+y)
D.p=154-(yx2)-32
B
7.Which statement is not true about polygons
A.if all the angles of a traingle are congruent then the measure of each angle is 60
B.If a triangle has a right angle, then both of the other angles are acute
C.If a figure is a rectangle then the sum of the measures of 2 angles is 180
D.if a quadrilateral has exactly 2 obtuse angles then each of the other angles is a right angle
C
8.The circumference of a circular garden is 32 feet. Which of the following expressions best represents the radius of the garden?
A.32/pi
B.32xpi
C.32/2pi
D.32x2pi
pi=3 for what Im learning
6 is right
7 is wrong
8 ??
8. D. 32 x 2π
The correct answer is B. The expression 32π represents the circumference of the circular garden, not the radius. To find the radius, we need to divide the circumference by 2π. So, the correct expression is 32 / (2π), which simplifies to 16 / π.
To find the radius of a garden, you can use the formula for the circumference of a circle, which is C = 2πr, where C is the circumference and r is the radius.
In this case, the circumference is given as 32 feet. So, the equation becomes 32 = 2πr.
To isolate the radius (r), you need to divide both sides of the equation by 2π.
So, the equation becomes: r = 32 / (2π).
Now, let's simplify the expression given in the answer choices using the value of π as 3.
A. 32/π = 32/3. This is not the correct expression because it does not match the simplified form of the equation above.
B. 32 * π = 32 * 3 = 96. This is not the correct expression as it is missing the division by 2.
C. 32 / (2π) = 32 / (2 * 3) = 32 / 6 = 16/3. This is the correct expression for the radius.
D. 32 * 2π = 32 * 2 * 3 = 192. This is not the correct expression as it is missing the division by 2.
Therefore, the correct expression that represents the radius of the garden is C. 32 / (2π).