Kim and Sam were each given the same pair of numbers. Sam's description of the two numbers was: The larger number is 3 more than
1 answer:
Answer:
Sam's description = , Kim's description =
Step-by-step explanation:
Given:
Kim and Sam were each given the same pair of numbers.
Sam's description of the two numbers was:
The larger number is 3 more than three times the smaller number.
Kim's description of the two numbers was:
Five times the smaller number decreased by 7 is the larger number.
Question asked:
Which equation represents the situation?
<u>Solution:</u>
Let smaller number =
According to Sam's description of the two numbers, the equation will be:-
Larger number = 3 more than three times the smaller number
=
According to Kim's description of the two numbers was, the equation will be:-
Larger number = Five times decreased by 7
=
By equating both equation:-
Smaller number = = 5
Larger number =
Therefore, equations represents the situation are and
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9514 1404 393
Answer:
a) see attachment
b) base: 4, height: 4√3
c) area: 16√3
Step-by-step explanation:
a) The figure is drawn in the attachment
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b) The side lengths of a 30-60-90 right triangle have the ratio ...
1 : √3 : 2
Multiplying these by 4 gives the side lengths of each triangle created by the diagonal. The base (short leg) is 4 units; the height (long leg) is 4√3 units.
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c) The area is the product of base and height:
A = bh
A = 4(4√3) = 16√3 . . . . square units
