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3 years ago

The numbers 9, 40, and c are a Pythagorean triple. What is the value of c?

Mathematics

1 answer:

KIM [24]3 years ago

7 0

$x^2=9^2+40^2\\\\x^2=81+1600\\\\x^2=1681\\\\x=\sqrt{1681}\\\\x=41\\\\Answer:A$

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A parabolic satellite dish reflects signals to the dish’s focal point. An antenna designer analyzed signals transmitted to a sat

ivolga24 [154]

Answer:

$c=\frac{16}{39}$

Step-by-step explanation:

The probability density function is :

$f(x)=c(1-\frac{1}{16}x^{2})$

With 0 < x < 3

To be a valid probability density function :

$\int\limits^b_a {f(x)} \,dx=1$

Where a < x < b

And also

f(x) ≥ 0 for a < x < b

Applying this to the probability density function of the exercise :

$\int\limits^3_0 {c(1-\frac{1}{16}x^{2})} \, dx=1$

$c\int\limits^3_0 {(1-\frac{1}{16}x^{2})} \, dx=1$

$c(3-\frac{1}{16}\frac{3^{3}}{3})=1$

$c(\frac{39}{16})=1$

$c=\frac{16}{39}$

We can verify by replacing ''c'' in the original probability density function and integrating :

$\int\limits^3_0 {\frac{16}{39}(1-\frac{1}{16}x^{2})} \, dx=$

$=\frac{16}{39}.(3)-\frac{1}{39}.(\frac{3^{3}}{3})=\frac{16}{13}-\frac{3}{13}=\frac{13}{13}=1$

Also, f(x) ≥ 0 for 0 < x < 3

4 0

3 years ago

Given: 3x+52=13 Prove: x = 7 write a two column proof

vivado [14]

The answer x = 7 is false here is why.

$3x+52=13\Longrightarrow3x=-39$

This further simplifies to solution,

$x=-\dfrac{39}{3}\Longrightarrow\boxed{x=-13}$

Hope this helps.

r3t40

8 0

2 years ago

The graph shows the relationship between the amount of milk and water used in a recipe

SpyIntel [72]

Answer:

Multiply the amount of milk by 4

Step-by-step explanation:

Given

See attachment for graph

Required

The rule of the graph

Pick any two points on the graph

$(x_1,y_1) = (0,0)$

$(x_2,y_2) = (1,4)$

Calculate slope (m)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{4 - 0}{1 - 0}$

$m = \frac{4}{1}$

$m =4$

The graph equation is:

$y = m(x - x_1) + y_1$

$y = 4(x - 0) + 0$

$y = 4(x)$

$y = 4x$

The above shows that the x values are multiplied by 4 to get y

8 0

2 years ago

Hi guys! Ive come across this math problem and I was wondering if I could get some help,

Artyom0805 [142]

Answer:

1/6

Step-by-step explanation:

1/6 + 1/6 = 2/6 = 1/3

5 0

3 years ago

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salantis [7]

Answer:

First Find the Radius of Cake by dividing 40/2

Now Find Area of the cake of Bottom

And Then Use the Formula to calculate volume of Circle

Cross Section Area=π Square

Bole of Circle 4/3π× radius cube

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2 years ago

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