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3 years ago

5

Three side lengths of a right triangle are given which side length should you substitute for the hypotenuse in Pythagorean theor

em

1 answer:

ankoles [38]3 years ago

8 0

Answer:

The longest length which you are given.

Step-by-step explanation:

The hypotenuse is the longest side in a right angled triangle. The largest side in a right angled triangle is known as the hypotenuse.

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Is 290 10 times as much as 2,900

ale4655 [162]

Yes if you were to so 290 times 10 on a calculator or 2,900 divided by 10

6 0

3 years ago

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The table shows a proportional relationship between the number of stars Roberto collects in a game and his total points. A row o

maks197457 [2]

Answer:

1) 20 stars; 30 points.

2) 28 stars, 42 points.

3) 38 stars, 57 points.

Step-by-step explanation:

<h3> The missing table is attached.</h3>

Let be "x" the numbers of stars Roberto collects and "y" his total points.

The proportional relationship has this form:

$y=kx$

Where "k" is the constant of proportionality.

We can choose the point $(8,12$ ) from the table, where:

$x=8\\y=12$

Substituting these values into $y=kx$ and solving for "k", we get:

$12=k(8)\\\\\frac{12}{8}=k\\\\k=1.5$

Knowing the value of "k", we determine that the following Numbers of stars and the Total points could be used as the missing values in the table:

1) For $x=20$ :

$y=(1.5)(20)=30$

2) For $x=28$ :

$y=(1.5)(28)=42$

3) For $x=38$ :

$y=(1.5)(38)=57$

4 0

3 years ago

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Write an equation that could be used to find the value of x using the interior angles of ∆BDC, then solve it.

Alecsey [184]

9514 1404 393

Answer:

x = 16

Step-by-step explanation:

Either or both of the right triangles can be used to find x. Or, triangle ABC could be used. All numbers are assumed to be degrees.

<u>Using ∆ABD</u>

55 +90 +2x+3 = 180

2x = 32 . . . . . . subtract 148

x = 16

<u>Using ∆BCD</u>

50 +90 +2x+8 = 180

2x = 32 . . . . . . subtract 148

x = 16

<u>Using ∆ABC</u>

55 +(2x +3) +50 +(2x +8) = 180

4x = 64 . . . . . . . subtract 116

x = 16

6 0

3 years ago

What is the circumference of a circular plate with a radius of 3 inches?

Mashutka [201]

The circumference would be 6 inches because you do 3 times 2

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3 years ago

Demand for your tie-dyed T-shirts is given by the formula q = 510 − 90p0.5 where q is the number of T-shirts you can sell each m

telo118 [61]

Answer:

The demand will drop approximately 23 T-shirt per month.

Step-by-step explanation:

Consider the provided formula.

$q = 510-90p^{0.5}$

You currently sell T-shirts for $15 each and you raise your price by $2 per month,

That means p=$15 and $\frac{dp}{dt}=2$

We need to find how fast demand will drop.

So differentiate the above function with respect to time.

$\frac{dq}{dt} =0-45p^{0.5-1}\frac{dp}{dt}$

$\frac{dq}{dt} =-45p^{-0.5}\frac{dp}{dt}$

Substitute the respective values as shown:

$\frac{dq}{dt} =-45(15)^{-0.5}(2)$

$\frac{dq}{dt} \approx-23.24$

Hence, the demand will drop approximately 23 T-shirt per month.

3 0

3 years ago