<u>Given</u>:
Let A denote the angle of the given triangle which measures ∠A = 81°
Let B denote the angle which measures ∠B = 40°
The length of the side a = x.
The length of the side b = 7 cm.
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the law of sine formula.
Applying the law of sine, we have;
Substituting the values, we have;
Simplifying, we get;
Cross multiplying, we have;
Thus, the length of the side x is 10.8 cm.
Answer:
- <u><em>Mr. Mole's burrow lie 7 meters below the ground.</em></u>
Explanation:
The information given can be summarized as:
- Mr Mole's altitude relative to the ground, in meters: A = - 2.3t - 7
- Time, since Mr. Mole started digging, in minutes: t
<u>Interpetration of the terms in the model A = -2.3t - 7</u>
The equation A = -2.3t - 7 is a linear function, which consists of two terms:
- The term -2.3t indicates that the altitude of Mr Mole decreases by 2.3 meters every minute. This is, -2.3 is the slope of the line in the graph that represents the altitude.
- The constant term - 7 is the altitude at t = 0, because at t = 0 A = -2.3(0) - 7 = 0 - 7 = 0. This is, -7 is the intercept with the vertical axis in the graph that represents the altitude.
Thus, altitude at which <em>Mr. Mole's burrow lie</em> is the initial value given by the function, this is the altitude at t = 0, or the vertical intercept of the line; which, as just said is - 7. The negative sign tells that the value is below the ground (ground level is 0 meters). Then, <em>Mr. Mole's burrow lie 7 meters below the ground.</em>
Answer:
2/5
Step-by-step explanation:
Answer:
Step-by-The GCF of 35 and 63 is 7. To find the GCF, we will start by listing the factors of 35 and listing the factors of 63. We see that the factors that are common to both 35 and 63 are 1 and 7, and the greatest of these is 7. Therefore, the greatest common factor of 35 and 63 is 7.step explanation:
