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adell [148]
2 years ago
9

Stephanie is making 1 1/2 batches of cookies using 2 3/4 cup sugar. How much sugar total?()

Mathematics
1 answer:
storchak [24]2 years ago
6 0

Answer:

33/8 or 4 1/8 simplified.

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Estimate the perimeter of the figure to the nearest whole number.
Paha777 [63]

Answer:

The perimeter (to the nearest integer) is 9.

Step-by-step explanation:

The upper half of this figure is a triangle with height 3 and base 6.  If we divide this vertically we get two congruent triangles of height 3 and base 3.  Using the Pythagorean Theorem we find the length of the diagonal of one of these small triangles:  (diagonal)^2 = 3^2 + 3^2, or (diagonal)^2 = 2*3^2.

Therefore the diagonal length is (diagonal) = 3√2, and thus the total length of the uppermost two sides of this figure is 6√2.

The lower half of the figure has the shape of a trapezoid.  Its base is 4.  Both to the left and to the right of the vertical centerline of this trapezoid is a triangle of base 1 and height 3; we need to find the length of the diagonal of one such triangle.  Using the Pythagorean Theorem, we get

(diagonal)^2 = 1^2 + 3^2, or 1 + 9, or 10.  Thus, the length of each diagonal is √10, and so two diagonals comes to 2√10.

Then the perimeter consists of the sum 2√10 + 4 + 6√2.

which, when done on a calculator, comes to 9.48.  We must round this off to the nearest whole number, obtaining the final result 9.

4 0
3 years ago
Question is show below.
WITCHER [35]

(1/4ab)^-2

Remove negative exponent by rewritten the equation as (4ab)^2

AUse Product rule to get:

4^2a^2b^2

Now raise 4 to the second power to get:

16a^2b^2


The last answer is correct.

7 0
3 years ago
Question 4 (Essay Worth 10 points) (06.04 HC) A figure is located at (2.0), (2, -2), (6, -2), and (6.0) on a coordinate plane. W
lukranit [14]

Answer: cylinder

Step-by-step explanation:

7 0
3 years ago
(x2 + x - 1) = (x - 1)
zepelin [54]

Answer:

x=0

Step-by-step explanation:

5 0
3 years ago
What is the domain or range of y = one-fourth x minus 6
Sveta_85 [38]

Answer:

domain and range will be ( negative infinity, positive infinity

4 0
3 years ago
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