Answer: To solve such problems we need to know about Trigonometry.
Trigonometric functions
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
The value of x is 5√3.
Explanation: Given to us,
the base for the triangle, AB = 5 units,
Hypotenuse for the triangle, BC = 10 units,
∠B = 60°,
Solution
The question can be solved in two ways,
1. Using the Pythagoras theorem,
According to Pythagoras theorem,
substituting the values,
2. using the trigonometric function for ∠B,
for ∠B in ΔABC,
substituting the values,
we know that value of tan(60°) is √3,
Hence, the value of x is 5√3.
The only reaction that will most likely take place based on the activity series is; C: Ba + Na₂CO₃
<h3>Activity Series</h3>
From the activity series given, we can say that during a displacement reaction, the more reactive metal will always displace the lesser reactive metal from a compound.
Let us look at each of the given options;
A) Ag + FeCl₃
From the activity series, Silver(Ag) is less reactive than Iron(Fe) and as such Silver cannot displace iron from its' compound.
B) Zn + CaO
Zinc (Zn) is a less reactive metal than Calcium (Ca), so it cannot cannot displace Calcium from its' compound.
C) Ba + Na₂CO₃
Barium (Ba) is a more reactive metal than Sodium (Na), and therefore Barium will displace sodium from its compound in a displacement reaction.
D) Cr + KNO₃
Chromium (Cr) is a lesser reactive metal than Potassium (K), and it therefore cannot displace Potassium from its compound.
Complete question is;
Which reaction will most likely take place based on the activity series? Li > K Ba > CaNa > Mn > Zn > Cr> Fe> Cd Ni > H > Sb > Cu > Ag > Pd > Hg > Pt
A. Ag + FeCl₃
B. Zn + CaO
C. Ba + Na₂CO₃
D. Cr + KNO₃
Read more about Activity Series at; brainly.com/question/17469010
Answer:
square both sides:
solve the roots:
take a cube root on both sides:
![\sqrt[3]{ {x}^{3} } = \sqrt[3]{216}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B%20%7Bx%7D%5E%7B3%7D%20%7D%20%20%3D%20%20%5Csqrt%5B3%5D%7B216%7D%20)
solve the cube root:
The American Diabetes Association (ADA) updated guidelines in their recommendations for prediabetes and diabetes screening in asymptomatic adults
<h3>hat is the main aim of the American Diabetes Association?</h3>
The mission of this society is to hinder and cure diabetes and it is known to be one whose aim is improve the lives of all people afflicted by diabetes.
Hence The American Diabetes Association (ADA) updated guidelines in their recommendations for prediabetes and diabetes screening in asymptomatic adults
Learn more about Diabetes from
brainly.com/question/504794
There are different reasons for ranking. The Rank order of the vendors that best meet Amazon’s goals are;
Vendor E - 1st
Vendor R - 2nd
Vendor K - 3rd
Vendor F - 4th
<h3>Why Vendor E ranking first?</h3>
Vendor E is first because it has low cost issues, low quantity, high shipped on time and low cost to amazon. This is said to fit about 100% of parameters.
Vendor K is known to have low cost issues, moderate quantity shipped, high quantity shipped and high cost to amazon.
Learn more about Ranking from
brainly.com/question/25076850
