MATHEMATICS HIGH SCHOOL

Which radical expression is equivalent to 5^2/3?sqrt 125

^3 sqrt 5

^3 sqrt 25

sqrt 5

Answers

Answer 1
Answer:

Answer: \sqrt[3]{25} is equivalent to the given expression.

Step-by-step explanation:

Given expression, 5^(2/3)

we can write, 5^(2/3) = (5^2)^(1/3) (because, a^(mn)= (a^m)^n)

⇒ 5^(2/3) = (25)^(1/3)

⇒ 5^(2/3) =  \sqrt[3]{25}

(because,we can write,  x^(1/n)=\sqrt[n]{x})
Answer 2
Answer: The answer is the last expression. 5^2/3 means you square the five then find the cubic root. 5 squared is equal to 25. Then you find the cubic root. 

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How to show your work to solve  3r^2-16r-7=5

Answers

OK so   3r^2-16r-7=5
Subtract five from both sides
3r^2-16r-7-5=0
Add like terms
3r^2-16r-12=0
Factorise it, this means putting it into brackets
(3r + 2)(r - 6)
Find out what multiplies to make negative twelve but adds to make negative sixteen
However none of the terms do this so we put negatives next to the "r"s
(-3r + 2)(-1r - 6)
The answer is r=6

Answer:

Step 1: Subtract 5 from both sides.

3r2−16r−7−5=5−5

3r2−16r−12=0

Step 2: Factor left side of equation.

(3r+2)(r−6)=0

Step 3: Set factors equal to 0.

3r+2=0 or r−6=0

r=−2/3

or r=6

Answer:

r=−2/3

or r=6

Step-by-step explanation:

Does the word each mean multiply

Answers

no, each does not mean to multiply, but it also depends on the question

Factor the polynomial below.

Answers

Answer:

option-A

Step-by-step explanation:

we are given

6b^2+3b

we can factor each terms

and then we can take common terms among them

6b^2=2* 3* b* b

3b=1* 3* b

we can replace it

and we get

6b^2+3b=2* 3* b* b +1* 3* b

now, we can take out common terms

we can see that common terms are 3 and b

6b^2+3b=3b(2* b+1)

we can simplify it

6b^2+3b=3b(2b+1)

Answer:

Its A.

Step-by-step explanation:

6b^2 + 3b.

The GCF is 3b so we divide this into the expression giving the factors:-

3b(2b + 1)  (answer).

The owner of a Farmer’s Market wants to construct a triangular fruit stand in his store. Use the diagram below and the Law of Sines to determine the dimensions of the sides of the fruit stand.A. 3.5 x 6 x 3.8
B. 3.5 x 2 x 3..2
C. 3.5 x 2.9 x 3.3
D. 3.5 x 2.5 x 3.4

Please select the best answer from the choices provided

Answers

Hello,
Please, see the attached file.
Thanks.

Answer:

The dimensions of the sides of the fruit stand are 3.5 feet , 2.0 feet  and 3.2 feet. Option B is correct.

Step-by-step explanation:

Given information:\angle A=35^(\circ), \angle B=65^(\circ) and c=3.5ft.

According to the angle sum property of a triangle, the sum of all interior angles of a triangle is 180 degree.

\angle A+\angle B+\angle C=180^(\circ)

35^(\circ)+65^(\circ)+\angle C=180^(\circ)

\angle C=180^(\circ)-100^(\circ)

\angle C=80^(\circ)

According to Law of sines

(a)/(\sin A)=(b)/(\sin B)=(c)/(\sin C)

(a)/(\sin A)=(c)/(\sin C)

(a)/(\sin 35)=(3.5)/(\sin 80)

a=(3.5)/(\sin 80)* \sin 35

a=2.04

a\approx 2.0

(b)/(\sin B)=(c)/(\sin C)

(b)/(\sin 65)=(3.5)/(\sin 80)

b=(3.5)/(\sin 80)* \sin 65

b=3.22

b\approx 3.2

Therefore the dimensions of the sides of the fruit stand are 3.5 feet , 2.0 feet  and 3.2 feet. Option B is correct.

fatima wants to find the value of sin theta, given cot theta equals 4/7. which identity would be best for fatima to use?

Answers

we know that
1+cot ²∅=csc² ∅
cot ∅=4/7
so
1+(4/7)²=csc² ∅
csc² ∅=1+(16/49)
csc² ∅=(65/49)
csc ∅=(√65)/7

remember that
csc ∅=1/sin ∅
sin ∅=1/csc ∅------> sin ∅=7/√65-----> sin ∅=(7√65)/65

the answer is
the best identity to find sin ∅ is
1+cot ²∅=csc² ∅

Answer:

D edge

Step-by-step explanation:

Screen shot for math

Answers

Answer:

18. 150

19.   They are not congruent

20. 60

Step-by-step explanation:

18. <EBC is 180 degrees so subtract by 30 because of angle F lowering the degree number by 30 and you get 150 degrees.

19. They are not congruent because they are not the same degree number and they aren't complementary because they don't equal 90 degrees. They aren't supplementary because they don't equal 180 degrees.

20. You get this by writing the equation 90-30 because angle F raises which lowers the angle dregree number by 30. So 90-30=60. Therefore, the answer is 60.
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