Lawrence has $50.
1 answer:
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1.The isosceles triangle has sides of length 14, y, y
2. According to the "triangle inequality" :
y+y>14
2y>14
y>14/2=7
(y is greater than 7)
3. Remark, check the figures:
the side lengths cannot be less than (neither equal to 7), because we cannot get a triangle in that case, check picture 2
In picture 1 wee see that the side lengths can be as large as we want. We can erect an altitude, as high as we want. Pick a point on the altitude, and join it to the endpoints of the base, and we get an isosceles triangle with base equal to 14.
2. According to the "triangle inequality" :
y+y>14
2y>14
y>14/2=7
(y is greater than 7)
3. Remark, check the figures:
the side lengths cannot be less than (neither equal to 7), because we cannot get a triangle in that case, check picture 2
In picture 1 wee see that the side lengths can be as large as we want. We can erect an altitude, as high as we want. Pick a point on the altitude, and join it to the endpoints of the base, and we get an isosceles triangle with base equal to 14.
Answer:
Step-by-step explanation:
Let x represents the number of red roses and y represents the number of white roses.
Given : Javier is purchasing a bouquet of roses from a floral shop. He wants the bouquet to have at least 12 roses.
i.e. the required inequality for this statement will be :-
No. of red roses +No. of white roses ≥ 12
i.e.
Also, Red roses cost $2.75 each and white roses cost $3.50 each and he wants to spend less than $35.
i.e. $2.75(No. of red roses)+$3.50(No. of white roses)≤ $35
i.e.
Now, From (1) and (2) the system of inequalities represents the situation :