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3 years ago

What is a cube root? A fourth root? A fifth root? Explain.

2 answers:

8 0

A cube root is the factor that we multiply by itself 3 times to get that number . fourth root is a number that has to be multiplied 4 times by itself same with a fifth root but multiplied 5 times. most numbers have a cube root , 4th root and a fifth root .

elena-14-01-66 [18.8K]3 years ago

5 0

Answer:

In mathematics, a cube root of a number x is a number y such that y³ = x. All nonzero real numbers, have exactly one real cube root and a pair of complex conjugate cube roots, and all nonzero complex numbers have three distinct complex cube roots. In mathematics, an nth root of a number x is a number r which, when raised to the power n, yields x: {\displaystyle r^{n}=x, } where n is a positive integer, sometimes called the degree of the root. A root of degree 2 is called a square root and a root of degree 3, a cube root.

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Need help fast plz for my pre calc exam

bezimeni [28]

Answer:

<em>h = 8.54 units</em>

Step-by-step explanation:

<u>The Law of Cosines </u>

It relates the length of the sides of a triangle with one of its internal angles.

Let a,b, and c be the length of the sides of a given triangle, and x the included angle between sides a and b, then the following relation applies:

$c^2=a^2+b^2-2ab\cos x$

Since we know the values of all three side lengths, we solve the equation for x:

$\displaystyle \cos x=\frac{a^2+b^2-c^2}{2ab}$

For the triangle ABC in the image, a=10, b=15, c=13, thus:

$\displaystyle \cos A=\frac{10^2+15^2-13^2}{2*10*15}$

$\displaystyle \cos A=\frac{156}{300}$

$\displaystyle \cos A=0.52$

Thus, A = 58.67°

For the right triangle of height h and hypotenuse 10, we use the sine ratio:

$\displaystyle \sin 58.67^\circ=\frac{h}{10}$

Solving for h:

$h = 10\sin 58.67^\circ$

h = 8.54 units

6 0

3 years ago

Consider the statement : Congruent triangles are always similar. Which of the following statements is an example of the statemen

swat32

Answer:

Yes, the congruent triangles are always similar. The following statements are applicable

1) Angles are the same, but sides are proportional to eachother.

2) Sides are the same size.

3)Corresponding angles and corresponding sides are congruent.

Step-by-step explanation:

Yes, they are similar.

For two triangles to be similar, it is sufficient if two angles of one triangle are equal to two angles of the other triangle. Note that if two angles of one are equal to two angles of the other triangle, the third angles of the two triangles too will be equal.

If two triangles are congruent then all corresponding sides as well as corresponding angles of one triangle are equal to those of other triangles. This can happen in four cases

1)- when all sides of triangles are equal,

2) - if one side and two angles of one are equal to one side and two angles of other triangle.

3) - if two sides and included angle of one triangle are equal to two sides and included angle of other triangle

4)- if in two right angled triangles, one side and hypotenuse of one triangle are equal to one side and hypotenuse of other triangle.

Observe that for triangles to be similar, we just need all angles to be equal. But for triangles to be congruent, angles as well as sides should be equal.

Hence, while congruent triangles are similar, similar triangles may not be congruent ( but the converse is not true) .

4 0

3 years ago

Represent this statement as an equation: Six more than twice a number is 20.

inna [77]

Answer:

2x+6=20

Step-by-step explanation:

4 0

3 years ago

A runner starts at the beginning of a runners' path and runs at a constant rate of 6 mi/hr. Fifteen minutes later a second runne

MatroZZZ [7]

Answer:

45 minutes

Step-by-step explanation:

let after t hours they meet after the second runner starts.

15 minutes=1/4 hour.

6(t+1/4)=8t

6t+6/4=8t

8t-6t=6/4

2t=3/2

t=3/2* 1/2=3/4 hours=45 minutes

6 0

3 years ago

Read 2 more answers

A number has only 1 factor pair. One of its factors is twice the other factor. What is the number? Explain.

Mrrafil [7]

<h3>Answer: 2</h3>

========================================================

Explanation:

If a number only has one factor pair, then that number must be prime. This is because prime numbers only have factors of 1 and the number itself.

For instance, the value 7 is prime because the only factors of this are 1 and 7.

For something like the number 32, it is composite and not prime because it has the factors {1,2,4,8,16,32} and it leads to these three factor pairs: 1*32, 2*16, 4*8. This is one example showing why the answer isn't composite.

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Let's say that p is the unknown prime we want to find. The factors of this are 1 and p. We're told that "one of the factors is twice the other factor", so that must mean p = 2*1 = 2. We can see that 2 is twice that of 1.

8 0

3 years ago