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stellarik [79]
3 years ago
7

Find the length of side x in simplest radical form with a rational denominator.

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
3 0

Answer:

2\sqrt{5}

Step-by-step explanation:

this is a 30-60-90 Δ and the ratio of the sides are 1 : \sqrt{3} : 2

1 / 2 = \sqrt{5} / x

cross-multiply: x = 2\sqrt{5}

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8 0
3 years ago
Read 2 more answers
Gina wants to take dance classes. She compares two dance studios to determine which has the best deal for her. Dance World charg
fomenos

Answer:

10 classes

Step-by-step explanation:

Given equations in the question

Dance World: y = 15x

Toe Tappers: y = 25 + 12.5x

Where,

x = number of classes

Equate the total cost at both dance studios

15x = 25 + 12.5x

Collect like terms

15x - 12.5x = 25

2.5x = 25

Divide both sides by 2.5

2.5x / 2.5 = 25 / 2.5

x = 10 classes

x = number of classes = 10

4 0
3 years ago
Complete the steps of the derivation of the quadratic formula step 1: (x+b/2a)^2-b^2-4ac/4a^2=0
CaHeK987 [17]
(x+b/2a)^2-(b^2-4ac)/2a=0
Step 2:
Re-write the expression:
(x+b/2a)^2=(b^2-4ac)/4a^2

Step 3:
get the square root of both sides:
x+b/2a=sqrt[(b^2-4ac)/4a^2]

Step 4:
Simplifying we get:
x+b/2a=sqrt[b^2-4ac]/2a

Step 5
Make x the subject:
x=-b/2a+/-sqrt[b^2-4ac]/2a


5 0
4 years ago
Read 2 more answers
Five questions 100 points! please explain how you got ur answer (look at images below)
avanturin [10]

Answer:

5. z=49

6. 4th degree trinomial

7. Ayla

8. Both are incorrect

4 0
3 years ago
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What does -16t^2 mean in h(t)=5+100t-16t^2
marissa [1.9K]

-16t^2 represent the position on the graph on the negative side.

According to the statement

we have given equation is h(t)=5+100t-16t^2 -(1)

And we have to find representation of -16t^2

we know that the equation number (1) represent the Quadratic Equation

And in this we have to solve the Quadratic Equation and find the representation of the given terms. then

h(t)=5+100t-16t^2

5+100t-16t^2 = 0

16t^2 -100t-5 = 0

In this equation 16t^2 represent the equation on the graph.

It means that it shows the position on the graph.

Overall, -16t^2 represent the position on the graph on the negative side.

Learn more about GRAPH here brainly.com/question/4025726

#SPJ1

4 0
2 years ago
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