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2 years ago

Find the length of the leg x. Enter the exact value, not a decimal approximation.

1 answer:

3 0

Answer:
x = 2√13.

Step-by-step explanation:

Using the Pythagoras theorem:
14^2 = x^2 + 12^2
x^2 = 14^2 - 12^2
x^2 = (14 + 12)(14 - 12) = 52
x = √52
x = √4*√13
x = 2√13.

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Gelneren [198K]

Answer:

Cube=150cm^2

Triangular Prism=228ft^2

Step-by-step explanation:

Cube

$A=6a^2=6*5^2=150cm^2$

Triangular prism

Using these formulas

$A=2A_{B}+(a+b+c)h\\A_{B} =\sqrt{s(s*a)(s*b)(s*c)} \\s=\frac{a+b+c}{2}$

Solving for A

$A=ah+bh+ch+\frac{1}{2} \sqrt{-a^4+2(ab)^2+2(ac)^2-b^4+2(bc)^2-c^4} \\=6.5*11+5*11+6.5*11+\frac{1}{2} *\sqrt{-6.5^4+2*(6.5*5)^2+2*(6.5*6.5)^2-5^4+2*(5*6.5)^2-6.5^4} \\=228ft^2$

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2 years ago

The area of the base of a rectangular prisim four and three fourths and the height of two and one third what is the volume

VikaD [51]

Data:
$A_{base} = 4 \frac{3}{4} = \frac{4*4+3}{4} = \frac{16+3}{4} \to A_{base} = \frac{19}{4}$

$h (height) = 2 \frac{1}{3} = \frac{3*2+1}{3} = \frac{6+1}{3} \to h (height) = \frac{7}{3}$
$v (volume) = ?$

Formula: $V = A_{b}*h$

Solving:
$V = A_{b}*h$
$V = \frac{19}{4} * \frac{7}{3}$
$V = \frac{133}{12}$
$V = 11.08333....$
$\boxed{\boxed{V \approx 11.08}}\end{array}}\qquad\quad\checkmark$

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3 years ago

a probability experiment consists of fair eight sided die find the probability of rolling number greater than 4

Lunna [17]

Answer:

Probability[Number greater than 4] = 1/2

Step-by-step explanation:

Given:

Total side of die = 8

Find:

Probability[Number greater than 4]

Computation:

Number greater than 4;

[5,6,7,8]

Total number greater than 4 = 4

Probability[Number greater than 4] = Total number greater than 4 / Total side of die

Probability[Number greater than 4] = 4 / 8

Probability[Number greater than 4] = 1/2

3 0

2 years ago

Find the volume of the cone shown below

Vadim26 [7]

Answer:

3.14*9^2*12/3=

Step-by-step explanation:

V=π*r^2*h/3

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wolverine [178]

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Step-by-step explanation:

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