Answer: A
Step-by-step explanation:
A is false. Not all reals numbers are rational numbers. Some real numbers can contain irrational numbers, like
. This is a real number, but isn't rational since it cannot be represented as a ratio.
Answer is a :
100 + 300% of 100 = 400
but the markup is more than 300%
ans : a)
<span>-5√x = -15
</span><span>√x = -15/-5
</span><span>√x = 3
x = 3&2
x = 9
answer is </span><span>D. x = 9</span>
Answer:Change values to whole numbers.
Convert any mixed numbers to fractions.
Convert 3 1/8
3 1/8 = 25/8
We now have:
5 : 3 1/8 = 5 : 25/8
Convert the whole number 5 to a fraction with 1 in the denominator.
We then have:
5 : 3 1/8 = 5/1 : 25/8
Convert fractions to integers by eliminating the denominators.
Our two fractions have unlike denominators so we find the Least Common Denominator and rewrite our fractions as necessary with the common denominator
LCD(5/1, 25/8) = 8
We now have:
5 : 3 1/8 = 40/8 : 25/8
Our two fractions now have like denominators so we can multiply both by 8 to eliminate the denominators.
We then have:
5 : 3 1/8 = 40 : 25
Try to reduce the ratio further with the greatest common factor (GCF).
The GCF of 40 and 25 is 5
Divide both terms by the GCF, 5:
40 ÷ 5 = 8
25 ÷ 5 = 5
The ratio 40 : 25 can be reduced to lowest terms by dividing both terms by the GCF = 5 :
40 : 25 = 8 : 5
Therefore:
5 : 3 1/8 = 8 : 5
Step-by-step explanation:
If the vectors are 4i-6j and -i-5j then the angle between both the vectors is approximately 45°.
Given two vectors be 4i-6j and -i-5j.
We are required to find the angle between vectors 4i-6j and -i-5j.
A vector is basically an equation involving a linear combination of vctors with possibly unkown coefficients. Vector is basically a quantity that has both magnitude and direction but not possition.
Angle is basically measure of inclination of something with the surface.
The angles between two vectors can be find out by the following formula:
cos Θ=[dot product of both the vectors/(product of magnitude of both the vectors)
cos Θ=[4*(-1)+(-6)*(-5)]/
cos Θ=(-4+30)/
cos Θ=26/
cos Θ=26/26.77
cos Θ=0.7070
Θ=
(0.707)
Θ=45.008
Approximately 45°.
Hence if the vectors are 4i-6j and -i-5j then the angle between both the vectors is approximately 45°.
Learn more about vectors at brainly.com/question/25705666
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