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Snezhnost [94]
2 years ago
14

Determine whether the solutions to the equations are rational or irrational.

Mathematics
1 answer:
statuscvo [17]2 years ago
8 0

Answer:

Step-by-step explanation:

x^3 = -216 yields 1 real, rational solution:  6

x^3 = 25 yields 1 real solution, but this solution is irrational:

∛-25 = -∛25 ≈ -2.92

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What is the height of this isosceles triangle?
erastova [34]

Answer:

height ≈ 11.9 units

Step-by-step explanation:

Construct a perpendicular bisector from the vertex to the base, thus splitting the triangle into 2 right triangles.

Using the sine ratio in one of these right triangles, then

sin48° = \frac{opposite}{hypotenuse} ( the opposite is the height h )

sin48° = \frac{h}{16} ( multiply both sides by 16 )

16 × sin48° = h , thus

h ≈ 11.9 ( to the nearest tenth )

5 0
3 years ago
-8x+114=11x+10-11x what's the answer
gtnhenbr [62]
The answer is x=13

I hope this helps!
Ask me for the work!
4 0
3 years ago
At an electronics store, a $165 television is marked up 110%. Dave purchases the TV and must pay 6.5% sales tax. What is his fin
Mariana [72]
Firstly, we need to know the price of the TV after the 110$ increase.
     $165 x 1.10 = $181.50
[This is an increase of $16.50]
[1.10 is the equivalent of 110%. 1 being 100% and the .10 being 10%]

Now for the sales tax. We apply a similar method.
     $181.50 x 0.065 = $11.79
     6.5% of $181.50 is $11.79, so we add the two together to find the final cost.

The final cost of the TV is $193.29
4 0
3 years ago
When Zakir threw a beach ball to his friend, its horizontal velocity changed as it traveled through the air. The relationship be
Anuta_ua [19.1K]

Answer:

5/8 shrinks

Step-by-step explanation:

Shrinks down 5/8

6 0
3 years ago
The price of a new car is $42,500. If the sales tax rate is 6%, what is the total cost for the car including tax?
ozzi

Answer: $45,050

Step-by-step explanation:

First we multipy 0.06 (6%) by 42,500

$42,500 * 0.06 = $2550

This is the tax that must be applied to $42,500

Now all we need to do is add $2,550to $42,500 and we get:

$42,500 + $2,550 = $45,050

7 0
3 years ago
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