Answer:
<h2>
The right option is twelve-fifths</h2>
Step-by-step explanation:
Given a right angle triangle ABC as shown in the diagram. If ∠BCA = 90°, the hypotenuse AB = 26, AC = 10 and BC = 24.
Using the SOH, CAH, TOA trigonometry identity, SInce we are to find tanA, we will use TOA. According to TOA;
Tan (A) = opp/adj
Taken BC as opposite side since it is facing angle A directly and AC as the adjacent;
tan(A) = BC/AC
tan(A) = 24/10
tan(A) = 12/5
The right option is therefore twelve-fifths
Answer:
Deatailed Answer to the question is given in the attached files.
Step-by-step explanation:
Draw the DE ray away from the BAC angle is the next step to copy the BAC angle
<h3>Further explanation
</h3>
Angles can be formed from two ray lines that have the same starting point
Commonly used terms include foot angle, corner point, and angle size
The magnitude of the angle is usually expressed in degrees
Naming angles can be with one letter according to the vertex or with three letters with the vertex placed between two other letters
There are several steps used to copy the BAC angle:
- 2. Draw a circle using the circle tool with center A. The circle will intersect the lines BA and BC at points F and G
- 3. Use the segment tool to create a segment from the circle radius that has been created
- 4. Use the Compass tool and select the segment from the AG radius
- 5. Make a circle with center point D, with the same radius as AG
- 6. Mark the intersection of the circle with the intersection of the DE as H
- 7. Create the FG segment, and use the compass tool to select the FG segment
- 8. Create a circle with center H, which will intersect the circle with center D earlier at the point I
Then the BAC is congruent to the HDI
<h3>Learn more</h3>
circumference of the circle
brainly.com/question/8929610
chord, diameter
brainly.com/question/9969022
the steps for constructing a copy of an angle
brainly.com/question/4292471
Keywords: circle, copy of an angle, segment tool, compass tool, radius
Prove:
The angle inscribed in a semicircle is a right angle.
The inscribed angle theorem states that the angle θ, inscribed in a circle is half the measure of the central angle of the circle. So, if the given is a semi-circle, then the inscribed angle is half of 180, therefore, 90 degrees and a right angle. <span />
Answer:
P(t) = 27000 * (1/9)^(t/4)
Step-by-step explanation:
This problem can me modelled with an exponencial formula:
P = Po * (1+r)^t
Where P is the final value, Po is the inicial value, r is the rate and t is the amount of time.
In this problem, we have that the inicial population/value is 27000, the rate is -8/9 (negative because the population decays), and the time t is in months, so as the rate is for every 4 months, we use the value (t/4) in the exponencial.
So, our function will be:
P(t) = 27000 * (1-8/9)^(t/4)
P(t) = 27000 * (1/9)^(t/4)