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3 years ago

A rectangular patio is 11 feet by 13 feet. What is the length of the diagonal of the patio?

Mathematics

1 answer:

Andrei [34K]3 years ago

6 0

Answer:

Step-by-step explanation:

use pythagoras

diagonal = $\sqrt{11^{2} + 13^{2} } \\$

= $\sqrt{290}$ feet or 17.03 feet

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P L E A S E H E L P!!!!!!!!!

Nostrana [21]

Answer:

The equation that matches the function shown is option;

C. $y = sin\left (\dfrac{1}{2} \cdot x\right)$

Step-by-step explanation:

The given graph of the function is a sinusoidal graph

The values of 'x' and 'y' coordinates at the maximum, x-intercept and minimum points are given as follows;

x, ${}$ y

0 ${}$ 0

π ${}$ 1

2·π ${}$ 0

3·π ${}$ -1

4·π ${}$ 0

We note that sin(π/2) = 1, sin(π) = 0 sin(3·π/2) = -1, and sin(4·π/2) = sin(2·π) = 0

Therefore;

y = the sine of half the x-value

Which is presented as follows;

$y = sin\left (\dfrac{1}{2} \cdot x\right)$ .

5 0

2 years ago

Need help ASAP

joja [24]

Part (1) : The solution is $729$

Part (2): The solution is $\frac{1}{16 x^{8}}$

Part (3): The solution is $\frac{2 x^{2}}{3 y z^{7}}$

Explanation:

Part (1): The expression is $3^{2} \cdot3^{4}$

Applying the exponent rule, $a^{b} \cdot a^{c}=a^{b+c}$ , we get,

$3^{2} \cdot 3^{4}=3^{2+4}$

Adding the exponent, we get,

$3^{2} \cdot3^{4}=3^6=729$

Thus, the simplified value of the expression is $729$

Part (2): The expression is $\left(2 x^{2}\right)^{-4}$

Applying the exponent rule, $a^{-b}=\frac{1}{a^{b}}$ , we have,

$\left(2 x^{2}\right)^{-4}=\frac{1}{\left(2 x^{2}\right)^{4}}$

Simplifying the expression, we have,

$\frac{1}{2^4x^8}$

Thus, we have,

$\frac{1}{16 x^{8}}$

Thus, the value of the expression is $\frac{1}{16 x^{8}}$

Part (3): The expression is $\frac{2 x^{4} y^{-4} z^{-3}}{3 x^{2} y^{-3} z^{4}}$

Applying the exponent rule, $\frac{x^{a}}{x^{b}}=x^{a-b}$ , we have,

$\frac{2x^{4-2}y^{-4+3}z^{-3-4}}{3}$

Adding the powers, we get,

$\frac{2x^{2}y^{-1}z^{-7}}{3}$

Applying the exponent rule, $a^{-b}=\frac{1}{a^{b}}$ , we have,

$\frac{2 x^{2}}{3 y z^{7}}$

Thus, the value of the expression is $\frac{2 x^{2}}{3 y z^{7}}$

8 0

3 years ago

What is the equation of the line that passes through the point (-5,3)(−5,3) and has a slope of fraction -6/5

Allushta [10]

Answer:

Step-by-step explanation:

Use the point-slope formula.

y - y_1 = m(x - x_1) when : x_1 = -5 and y_1 =3 and m= -6/5

the equation : y - 3 = -6/5(x +5)

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3 years ago

How many grams are in 8 kilograms?

shutvik [7]

I believe it is 8,000 grams :).

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2 years ago

Aleonysh [2.5K]

2 pounds per person

5 0

2 years ago