Answer:
pretty sure its 8.15
Step-by-step explanation:
The English phrase of the obtained equation is 12 times z subtracted by 3. The obtained equation after solving is 12z -23
<h3>What exactly is simplification?</h3>
Simplifying means making something easier to do or comprehend, as well as making something less difficult.
Given data;
z be the unknown number
Given conditions;
1. The difference between a number and −23.
2.−23 is equal to the product of the number and 13.
The mathematical form of the given phrase is;
⇒ z - (-23) = z × 13
⇒z+23 = 13z
⇒12z -23
The English phrase of the obtained equation is 12 times z subtracted by 3.
Hence the simplification of the given expressions is 12z -23.
To learn more about the simplification, refer to:
brainly.com/question/23509407
#SPJ1
Answer:
Perimeter of the dog park = 15.4 yards
Step-by-step explanation:
Coordinates of the vertices of the given triangle are,
P(1, 2), Q(1, 6), R(-4, 2)
Since distance between the two points 
and 
is,
d = 
Length of PQ = 
PQ = 4
Length of PR = 
PR = 5
Length of QR = 
QR = 
= 
= 6.4 yards
Therefore, perimeter of the given triangle = PQ + QR + PR
= 4 + 6.4 + 5
= 15.4 yards
Answer: The question is incomplete
Step-by-step explanation: The answer to this question cannot be determined correctly since an important detail is missing.
However, let me explain how you would normally go about it by using an example of mine. If for example the ratio of yes votes to no votes was 8 to 5, and the question requires you to calculate how many yes votes were there as indicated in your question, then the first step would be to find the total number of both sides of the ratio. That is add 8 to 5 which gives you 13. This means if there was a total of 13 votes cast, every yes vote stands for 8 out of 13 votes and every no vote stands for 5 out of 13 votes.
To express it mathematically, every yes vote would be 8/13 of the total (12779) and every no vote would be 5/13 of the total (12779).
Therefore to determine how many yes votes there was, is calculated as follows;
Let yes votes be y and no votes be x'
y = (8/13) * 12779
y = 102232/13
y = 7864
<em>Based on my example that the ratio of yes votes to no votes is 8 to 5, </em>
Then the number of yes votes was 7,864.
Answer:
•cos(s+t) = cos(s)cos(t) - sin(s)sin(t) = (-⅖).(-⅗) - (√21 /5).(⅘) = +6/25 - 4√21 /25 = (6-4√21)/25
•cos(s-t) = cos(s)cos(t) + sin(s)sin(t) = (-⅖).(-⅗) + (√21 /5).(⅘) = +6/25 + 4√21 /25 = (6+4√21)/25
cos(t) = ±√(1 - sin²(t)) → -√(1 - sin²(t)) = -√(1 - (⅘)²) = -⅗
sin(s) = ±√(1 - cos²(s)) → +√(1- cos²(s)) = +√(1 - (-⅖)²) = √21 /5
