Answer:
See Explanation
Step-by-step explanation:
(Please Find Diagram in the attachment)⇒Answer Drawing is Given There.
According to the question,
- Given that, The city of Plainview is building a new sports complex. The complex includes eight baseball fields, four soccer fields, and three buildings that have concessions and restrooms.
- Now, Arrange the structures in the sports complex using translations, reflections, and rotations so that the final arrangement satisfies each of these criteria:
- All the fields and buildings fit on the provided lot.
-
Each field is adjacent to at least one building for ease of access.
-
Two or more fields can be adjacent, but no two fields should share the same boundary (e.g., a sideline or a fence.)
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For safety reasons, no baseball field should have an outfield (the curved edge) pointed at the side (the straight edges) of another baseball field
Answer:
A = 25.758 m²
Step-by-step explanation:
Width of the sand pit, b = 2.7 m
Length of the sand pit, l = 9.54 m
We want to cover the sand pit with a piece of plastic. We need to find how many square meters of plastic will be needed to cover the sand pit. It is equal to the area of sand pit. It is in the shape of rectangle. Its area is given by :
A = l × b
A = 2.7 × 9.54
A = 25.758 m²
So, 25.758 m² of plastic will be needed to cover the sand pit.
It’s a
Distribute the exponent to each term, then move your negative exponents to the opposite side then simplify.
18 kg of 15% copper and 72 kg of 60% copper should be combined by the metalworker to create 90 kg of 51% copper alloy.
<u>Step-by-step explanation:</u>
Let x = kg of 15% copper alloy
Let y = kg of 60% copper alloy
Since we need to create 90 kg of alloy we know:
x + y = 90
51% of 90 kg = 45.9 kg of copper
So we're interested in creating 45.9 kg of copper
We need some amount of 15% copper and some amount of 60% copper to create 45.9 kg of copper:
0.15x + 0.60y = 45.9
but
x + y = 90
x= 90 - y
substituting that value in for x
0.15(90 - y) + 0.60y = 45.9
13.5 - 0.15y + 0.60y = 45.9
0.45y = 32.4
y = 72
Substituting this y value to solve for x gives:
x + y = 90
x= 90-72
x=18
Therefore, in order to create 90kg of 51% alloy, we'd need 18 kg of 15% copper and 72 kg of 60% copper.
Answer:A terminating decimal between -3.14 and -3.15.
Step-by-step explanation:
A natural number includes non-negative numbers like 5, 203, and 18476.
It is encapsulated by integers, which include negative numbers like -29, -4, and -198.
Integers are further encapsulated by rational numbers, which includes terminating decimals like 3.14, 1.495, and 9.47283.
By showing a terminating decimal between -3.14 and -3.15, you are showing that rational numbers include integers (because integers include negative numbers.
