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3 years ago

Suppose an isosceles triangle ABC has A = 45° and b = c = 4. What is the length of a^2?

1 answer:

4 0

Since b = c, the angles B and C are congruent.
180 - 45 = 135
135/2 = =67.5

A = 45
B = 67.5
C = 67.5
a = ?
b = 4
c = 4

Since we know two sides and all three angles, we can use the law of sines to find a.

b/sin B = a/sin A

4/(sin 67.5) = a/(sin 45)

a = 4(sin 45)/(sin 67.5)

a^2 = (4(sin 45)/(sin 67.5))^2

a^2 = 9.37

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What is the solution to the equation c/0.3 = -2.7?

forsale [732]

C = 0.3*-2.7 = -0.81

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A homeowner is installing a swimming pool. You have been asked to install a circuit to operate a 600-watt underwater light and a

insens350 [35]

Answer:

The answer is given below

Step-by-step explanation:

The loads in the circuit are continuous duty, so the circuit can only loaded to 80% of its current rating.

Calculate 80% current rating of the circuit breaker.

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Now we assume that the value of supply voltage is 120 V

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3 years ago

Is anyone good at geometry if so Can you please help me NO LINKS

Roman55 [17]

Answer:

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Step-by-step explanation:

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3 years ago

-(-4)(-6)-3/5(10+15)/1/3

Ksenya-84 [330]

Answer:

$-29$

solving steps:

$\sf \hookrightarrow -\left(-4\right)\left(-6\right)-3/5\left(10+15\right)/1/3$

$\sf \hookrightarrow -\left(-4\right)\left(-6\right)-3/5\cdot \:25/1/3$

$\sf \hookrightarrow -24-3/5\cdot \:25/1/3$

$\sf \hookrightarrow -24-5$

$\sf \hookrightarrow -29$

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2 years ago

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Suppose that det(a) = a b c d e f g h i = 2 and find the determinant of the given matrix. a b c −4d −4e −4f a + g b + h c + i

zhuklara [117]

I'll go out on a limb and suppose you're given the matrix

$\mathbf A=\begin{bmatrix}a&b&c\\d&e&f\\g&h&i\end{bmatrix}$

and you're asked to find the determinant of $\mathbf B$ , where

$\mathbf B=\begin{bmatrix}a&b&c\\-4d&-4e&-4f\\a+g&b+h&c+i\end{bmatrix}$

and given that $\det\mathbf A=2$ .

There are two properties of the determinant that come into play here:

(1) Whenever a single row/column is scaled by a constant $k$ , then the determinant of the matrix is scaled by that same constant;

(2) Adding/subtracting rows does not change the value of the determinant.

Taken together, we have that

$\det\mathbf B=-4\det\mathbf A=-8$

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3 years ago