Answer:
6.13
Step-by-step explanation:
Using Sine Law we know that
Using your figure let's assign sides and angles:
A=? B = 60° C = 70°
a = 5 b = ? c = x
If we put that into our formula:
Notice that we have too many unknowns. We need to complete at least one ratio to do this, so how do we do this?
Notice we have 2 angles given, so we solve for the third angle. The sum of all angles in any triangle is always 180°
∠A + ∠B + ∠C= 180°
∠A + 60° + 70° = 180°
∠A + 130° = 180°
∠A = 180° - 130°
∠A = 50°
Now we can use this to solve for x.
So the closest answer would be 6.13
I need a correct answer of Edith each sentence for pronoun usage.
1. The instructor made clear to everyone what they had to do to pass the class.
2. Marcie signed up for advanced classes without consulting her advisor, which was a big mistake.
3. The computer did not allow access to students which tried to register before registration opened.
4. Many people shy away from the old because they think of it as being senile and withered.
5. It did not get above freezing today, so it is still too dangerous to drive on the back roads.
6. We always wait until the day before Christmas to buy a tree because they are discounted by then.
7. To end the strike, the union approved the agreement and told their members to go back to work.
8. Everybody agreed to do the maintenance ourselves rather than pay someone to do it.
9. Physical activity is good for you, but people lack the discipline to exercise as much as they should.
10. Mr. Roberts told his son that he didn't know to dance.
Answer:
The factorization of 
is 
Step-by-step explanation:
This is a case of factorization by <em>sum and difference of cubes</em>, this type of factorization applies only in binomials of the form 
or 
. It is easy to recognize because the coefficients of the terms are <u><em>perfect cube numbers</em></u> (which means numbers that have exact cubic root, such as 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000, etc.) and the exponents of the letters a and b are multiples of three (such as 3, 6, 9, 12, 15, 18, etc.).
Let's solve the factorization of by using the <em>sum and difference of cubes </em>factorization.
1.) We calculate the cubic root of each term in the equation , and the exponent of the letter x is divided by 3.
![\sqrt[3]{729x^{15}} =9x^{5}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B729x%5E%7B15%7D%7D%20%3D9x%5E%7B5%7D)
then ![\sqrt[3]{10^{3}} =10](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B10%5E%7B3%7D%7D%20%3D10)
So, we got that
which has the form of which means is a <em>sum of cubes.</em>
<em>Sum of cubes</em>
with 
y 
2.) Solving the sum of cubes.
.
Answer:
26 and 49.
Step-by-step explanation:
Answer:
3150
Step-by-step explanation:
2325/155,000 = 0.015 = 1.5%
210,000 x 1.5% = 210,000 x 0.015 = 3150
