A present age for a is idk srry dude
factor the 2 denominators:-
a^2 - 6a + 9 = (a - 3)(a - 3)
a^2 - 8a + 15 = (a - 3)(a - 5)
((a - 3) is common to both sets of factors so the LCD is:-
(a - 3)(a - 3)(a - 5) or this can be written as (a -3)^2(a - 5)
Value of the pursue in cents: 
Step-by-step explanation:
Let's call:
= number of pennies
The problem tells us that the pursue contains twice as many nickels as pennies, so the number of nickels is
Also, the pursue contains five more dimes than nickels, so the number of dimes is
And finally, the pursue contains as many quarters as dimes and nickels combained, so the number of quarters is
The value of each type of coin is:
Penny: 1 cent
Nickel: 5 cents
Dime: 10 cents
Quarter: 25 cents
So, the total value of the pursue in cents is:
And substituting,
So, this is the value of the change in the pursue in cents.
Learn more about expressions:
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#LearnwithBrainly
Two minuses = Plus.
Therefore, it is 8--7.
Answer:
sin θ = (√21) / 5
tan θ = (√21) / 2
Step-by-step explanation:
Remember the formulas for the <u>trigonometry ratios</u> with SohCahToa:
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
If cos θ = 2/5, then:
adjacent = 2
hypotenuse = 5
Remember all right triangles follow the <u>Pythagorean Theorem</u>. So if you are missing one side, you can solve.
Let's find the opposite side.
a² + b² = c²
2² + b² = 5²
4 + b² = 25
b² = 21
b = √21
opposite = √21
Now we know all three sides. <u>Use the trigonometry ratios</u> to find sine and tangent.
sin θ = opposite / hypotenuse
sin θ = (√21) / 5
tan θ = opposite / adjacent
tan θ = (√21) / 2
