Answer:
rational
Step-by-step explanation:
Sandy ran 5 ½ during the second hour.
- Total amount Sandy used to jog for 2 hours = 13 miles
- Amount Sandy used to run in the 1st hour = 7 ½
<h2>Further Explanation</h2>
Therefore the amount Sandy used to run in the 2nd hour = Total amount Sandy used to jog for 2 hours – Amount Sandy used to run in the 1st hour
= 13 – 7 ½ (and can be expressed as 7 + ½)
= 13 – (7 + ½)
= 13 – 7 – ½
= 6 – ½ (otherwise expressed as 6/1 – 1/2)
= (6 x 2) – (1 x 1) / 2
= (12) – (1) / 2
= 12 – 1 / 2
= 11/2
= 5 ½
Hence, Sandy ran 5 ½ miles during the second hour.
Based on the above expression, it is observed that there is an element of fractions in the math problem. Also, BODMAS was clearly used to derive the solution to the given question.
Recall, 13 – (7 + ½). The mathematical signs, (–) and (+) were multiplied; one of mathematics rule states that – x + = –; thus 13 – 7 – ½
Notably, fractions deal with denominators and numerators; and in these questions, with the help of BODMAS, they (6/1 – 1/2) were used to factor each other out to derive the final answer 5 ½.
LEARN MORE:
KEYWORDS:
- bodmas
- fractions
- mathematical sign
- denominators
- numerators
Answer:12,000
Step-by-step explanation:
.05*30,000=1,500
1,500*12=18,000
30,000-18,000=12,000
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.
Read more on triangles here:
brainly.com/question/18404158
#SPJ1
Answer:
1. 302.1 ÷ 5 can be rewritten as 181.26 ÷ 3
2. 12.15 ÷ 0.02 can be rewritten as 2430 ÷ 4
3. 1.375 ÷ 0.11 can be rewritten as 75 ÷ 6
Step-by-step explanation:
Hope this helps!