4 x 12 = 6 x n. 4 6 8 12
2 answers:
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Answer:
There are no possible solutions
Step-by-step explanation:
Given:
Minimum number of coins Alexa has =28 coins
Number of quarters Alexa has = 17 quarters
Total amount in coins = $5.05 = 505 cents
Let number of dimes be = coins
So we can have two inequalities.
1) Total number of coins
[Since minimum number of coins=28]
2) Total value of coins
[As 1 dime=10 cents and 1 quarter=25 cents]
Solving inequality (1)
Subtracting both sides by 17.
∴
Solving inequality (2)
Subtracting both sides by 425.
Dividing both sides by 10.
∴
On combining both solutions
and
,
we see that there are no possible solutions as number of dimes cannot be ≥11 and ≤8 at the same time.
Answer:
∠F = 42° to the nearest degree
Step-by-step explanation:
In this question, we are asked to calculate the value of the angle.
Kindly note that since one of the angles we are dealing with in the triangle is 90°, this means that the triangle is a right-angled triangle
Please check attachment for the diagrammatic representation of the triangle
From the diagram, we can identify that the EF is the hypotenuse and the length FG is the adjacent. Thus , the appropriate trigonometric identity to use is the cosine
mathematically;
Cosine of an angle = length of adjacent/length of hypotenuse
F = 42.07
∠F = 42° to the nearest degree
