Answer:
46.63 ft
Step-by-step explanation:
I've drawn and attached a triangle diagram to represent this elevation and distance of balloons.
Now, from the diagram attached, we can see the angle at which June must look up to see Armando is 25°.
Also, the height of Armando above June is represented by "x".
Thus, using pythagoras theorem, we can find x.
Thus;
x/100 = tan 25
x = 100 × tan 25
x = 100 × 0.4663
x = 46.63 ft
In the given series, we see that the first term is 3 and
the common ratio between the succeeding terms is -3. To solve for the sum of
the first 8 terms, we use the equation,
Sum = (a1)(1 – r^n) / (1 – r)
Substituting the known terms,
Sum
= (3)(1 – (-3)^8)/(1 - -3) = -4920
<span>Thus, the answer is -4920.</span>
Amount = 3,700 * (1.0475)^9
<span><span>Amount = 3,700 * 1.5184003135
</span>
</span><span>Amount =
</span><span><span><span>5,618.08
</span>
</span>
</span>
Answer:
5ab
Step-by-step explanation:
To find the greatest common factor (GCF), you will need to find the largest value that both of these monomials can be divided by. There are three different parts to these monomials: the number value, variable a, and variable b.
Find the largest number of each element that can be divided by both.
Numbers: the GCF of 15 and 35 is 5 (15/5 = 3, 35/5 = 7, 3 and 7 are prime numbers and therefore, cannot be divided further)
Variable a: the GCF of a² and a is a
Variable b: the GCF of b and b² is b
Therefore, the GCF is 5ab.
