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77julia77 [94]
3 years ago
11

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

Mathematics
1 answer:
geniusboy [140]3 years ago
5 0

Step-by-step explanation:

the answer is

x =  \sqrt{3}

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The base of a triangle is 6 inches more than 3 times the height. If the area of the triangle is 120 square inches.
wariber [46]

Answer:

2160

Step-by-step explanation:

6X3=18 so 120X18=2160

3 0
2 years ago
How many km per hour must you swim if you want to cross a 5-km channel in 4 hours?
hodyreva [135]
The actual answers is that you would have to swim at 1.25 mph to reach your goal. 48 minutes pet km!
5 0
3 years ago
Read 2 more answers
Identify the constant of proportionality from the graph. <br>A. 1/3 <br>B. 9 <br>C. 3 <br>D. 6​
Andrej [43]

Answer:

C. 3

Step-by-step explanation:

The constant of proportionality is the slope (or rate of change) of the graph.

To find the equation of the graph;

Take points (1,3) and (3,9)

The slope (m) = change in y ÷ change in x

m = \frac{9 - 3}{3 - 1} = \frac{6}{2} = 3

Taking another point (x,y) on the graph;

m = \frac{y - 3}{x - 1} = 3

y - 3 = 3x - 3

y = 3x + 0

y = 3x

This can be expressed as;

y ∝ 3x

Which means that as y rises, x rises too but 3 remains the same. The value 3 is the constant of proportionality in this relationship.

5 0
3 years ago
At a restaurant, Brandy paid twice as much as Katie, and Katie paid $3 more than Stephanie. If the total combined amount they pa
gregori [183]
Let the amount that Brandy paid be b, the amount that Katie paid be k, and the amount that Stephanie paid be s.

b=2k
s=k+3
b+s+k=56

Substituting and doing the equation only in terms of k, we get:

2k+(k+3)+k=56
4k+3=56
4k=53
k=13.25
Katie paid $13.25.
Hope this helps!
4 0
3 years ago
Find a set of four consecutive positive integers such that the greatest integer in the set is twice the least integer in the set
tiny-mole [99]

Answer:

four consecutive integers are

3,4,5,6

Step-by-step explanation:

Let x, x+1, x+2 and x+3 are the four consecutive positive integers

greatest integer is x+3

least integer is x

the greatest integer in the set is twice the least integer

x+3=2x

subtract x from both sides

3=x

the value of x is 3

x+1 is 4

x+2 is 5

x+3 is 6

so four consecutive integers are

3,4,5,6

8 0
3 years ago
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