This is the concept of algebra, given that ab^4=12 and a^5b^5=7776, the value if a will be found as follows:
ab^4=12
a=12/b^4
also;
a^5=7776/b^5
thus;
a=(7776/b^5)^(1/5)
a=6/b
thus the value of a will be:
6/b=12/b^4
dividing both sides by b we get:
6=12/b^3
multiplying both sides by b^3 we get
6b^3=12
b^3=2
hence;
b=2^(1/3)
Answer:
3
Step-by-step explanation:
If 4 | 1 = 41, that means that when you're looking at the number, you basically see it without the "|". If you see it that way, the smallest number would be 03.
Answer:
The longer diagonal has a length of 7.3 meters.
The angles are 31.65° and 18.35°
Step-by-step explanation:
If one angle of the parallelogram is 50°, another angle is also 50° and the other two angles are the supplement of this angle. so the other three angles are:
50°, 130° and 130°.
The longer diagonal will be the one opposite to the bigger angle (130°), and this diagonal divides the parallelogram in two triangles.
Using the law of cosines in one of these two triangles, we have:
So the longer diagonal has a length of 7.3 meters.
To find the angles that this diagonal forms with the sides, we can use the law of sines:
The other angle is B = 50 - 31.65 = 18.35°
Please check the image attached for better comprehension.
Answer:
5/2
Step-by-step explanation:
Convert both fractions into improper fractions:
- To convert these fractions into an improper fraction you need to multiple the denominator with the mixed numeral/whole number. Then add that amount to the numerator. Do this for both fractions. This is what it should look like.
38/6 - 23/6.
The you subtract it
- 38/6 - 23/6 = 15/6
15/6 is your answer
If you want to simplify it the fraction it will be :
- 5/2
Answer:
<em>20 boys </em>
Step-by-step explanation:
b = 2g
100% - 20% = 80%
80% ÷ 2 = 40% = 0.4
0.4g = 4 ⇒ g = 4 ÷ 0.4 = 10
b = 2 × 10 = 20
There are 10girls and <em>20 boys</em> study in the class.
