Answer:
j = 26
Step-by-step explanation:
129 - 51 = 78
78 ÷ 3 = 26
Your answer is j = 26
Answer:
(-2,0), (-1,1), (0,2)
Step-by-step explanation:
Options A,B and D. The correction about the area of the triangle are
- The apothem can be found using the Pythagorean theorem.
- The apothem can be found using the tangent ratio.
- The length of the apothem is approximately 2.5 cm.
<h3>How to solve for the length of the Apothem using the Pythagoras theorem</h3>
Firstly this is an equilateral triangle
3 of the sides have the length of 8.7cm
b = half of 8.7
= 4.35cm
To get A we have
a² + b² = c²
a² + 4.35² = 5²
When we solve this out we would have
a² = 25 - 18.9225
a ≈ 2.5 cm.
Hence we have proved that the first option is correct.
<u>For B,</u>
In an equilateral triangles, each of the angles = 60 degrees
60/2 = 30 is the angle that is made from the base
<h3>using tangent ratios </h3>
a / 4.35 = tan 30
then a = 4.35 tan 30
This would also give us an approximate of 2.5
For D
The calculations we have done based on the statements in A and B shows that D is correct as 2.5.
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The interest on the investment when the interest rate is 9% is; $101.25.
<h3>What is the interest when the interest rate is 9%?</h3>
It follows from the task content that the interest on an investment varies directly as the rate of interest.
Hence, it follows from proportion that the interest when the interest rate is; 9% can be calculated as follows;
= 9 ×45/4
= $101.25
Ultimately, the interest on the investment evaluated by means of proportional reasoning is therefore; $101.25.
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