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BabaBlast [244]
3 years ago
15

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<br> Prove: x = 7<br> 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

<em>The above shows that the x values are multiplied by 4 to get y</em>

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
Read 2 more answers
Help Me On This!!<br><br><img src="https://tex.z-dn.net/?f=%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20" id="TexFormula1" title=" \\ \\
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

8 0
2 years ago
Read 2 more answers
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