The sum of the two numbers is equal to 70.
- Let the first number be x.
- Let the second number be y.
In this exercise, you're required to find two numbers by translating the word problem into an algebraic expression and then solving for the unknown variables (x and y).
Translating the word problem into an algebraic expression, we have;
Two numbers differ by 8:
....equation 1.
The product of the two numbers is 713:
....equation 2.
To calculate the sum of the two numbers:
First of all, we would solve for each of the unknown variables (x and y).
From eqn. 1, we have:
....equation 3.
Substituting eqn. 3 into eqn. 2, we have:
Solving the quadratic equation by factorization, we have:
y = -23 or 31.
For the value of x, when y = 31:
x = 39
Now, we can calculate the sum of the two numbers:
Read more on word problems here: brainly.com/question/13170908
The answer is most likely A
Answer:
sinF = 3
/5 or 0.6.
Explanation:
Triangle ABC is a right triangle with its right angle at B. Therefore, AC is the hypotenuse of right triangle ABC, and AB and BC are the legs of right triangle ABC. According to the Pythagorean theorem,
AB=√202−162=√400−256=√144=12
Since triangle DEF is similar to triangle ABC, with vertex F corresponding to vertex C, the measure of angle∠F equals the measure of angle∠C. Therefore, sinF=sinC. From the side lengths of triangle ABC,
sinF = oppositeside
/hypotenuse = AB
/AC = 12/
20 = 3
/5
Answer:
2.8
Explanation:
you divide those 2 numbers and get 2.8 =)
The capture theory of regulation holds that there are certain regulations which are enforced by the regulator agencies and individuals.
<h3>What is the theory of regulation?</h3>
The theory of regulatory was attached to some individual such as Nobel laureat and George Stigler the theory explains the phenomenon of a regulation is managed by designated individual who ensures that people comply to regulations.
We have private and public regulations and agency vested with the task to oversee a specific industries are exposed to risk.
Therefore,
The capture theory of regulation holds that there are certain regulations which are enforced by the regulator agencies and individuals.
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