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4 years ago

calculate the side lengths a and b to two decimal places angle a is 64 angle b is 85 and line ab is 9.3? PLEASE HELP ASAP

1 answer:

4 0

∠C = 180° - (∠A + ∠B) = 180° - (64° + 85°) = 180° - 149° = 31°
$AC= \frac{9.3*sin(85)}{sin(31)} = \frac{9.3*0.9962}{0.515} =17,99 \\ \\ BC=\frac{9.3*sin(64)}{sin(31)} = \frac{9.3*0.8988}{0.515} =16,2$

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In Exercise, evaluate each expression. 643/4

Goshia [24]

Answer:

$\\ 64^{\frac{3}{4}} = 16\sqrt{2}$

Step-by-step explanation:

We need here to remember that:

$\\{(x^{a})}^{b} = x^{a * b}$

$\\{x^{a} * x^{b} = x^{a + b}$

Then,

$\\ 64^{\frac{3}{4}} = {(8^{2})}^{(\frac{3}{4})} = {{(2^{3})}^{2}}^\frac{3}{4}$

$\\ 64^{\frac{3}{4}} = {{2^{3}}^2}^\frac{3}{4} = 2^\frac{3*2*3}{4}$

$\\ 64^{\frac{3}{4}} = 2^\frac{2*3*3}{4} = 2^\frac{3*3}{2} = 2^\frac{9}{2}$

$\\ 64^{\frac{3}{4}} = 2^{\frac{9}{2}}$

Since $\\ \frac{9}{2} = \frac{4}{2} + \frac{4}{2} + \frac{1}{2}$

$\\ 64^{\frac{3}{4}} = 2^{\frac{9}{2}} = {2^{(\frac{4}{2} + \frac{4}{2} + \frac{1}{2})}$

$\\ 64^{\frac{3}{4}} = 2^{\frac{4}{2}} * 2^{\frac{4}{2}} * {2}^{\frac{1}{2}$

$\\ 64^{\frac{3}{4}} = 2^{2} * 2^{2} * {2}^{\frac{1}{2}$

$\\ 64^{\frac{3}{4}} = 4 * 4 * \sqrt{2} = 16 \sqrt{2}$

5 0

3 years ago

Part A: Show all work to solve the quadratic equation x2 − 12x + 35 = 0 by factoring. (2 points)

MrRissso [65]

Answer:

A) x = {5, 7}

B) The solutions make the equation true.

Step-by-step explanation:

Part A:

To solve this by factoring, you need to find factors of 35 that have a sum of -12. Since 35 is the product of two primes, the search is a short one.

35 = (-1)(-35) = (-5)(-7)

The corresponding sums are -36 and -12, so the latter factor pair is the one we want. Since the coefficient of x^2 is 1, we can use these numbers directly in the binomial factors:

x^2 -12x +35 = (x -5)(x -7) = 0

The zero product rule tells us this product is zero only when one of the factors is zero:

x -5 = 0 ⇒ x = 5

x -7 = 0 ⇒ x = 7

The two solutions are x=5 and x=7.

Part B:

The solutions from part A are the x-intercepts of the graph of the quadratic expression. They are the values of x that make the quadratic expression be zero. That is, they are the values of x that make the equation true.

7 0

4 years ago

How √225 and √223 are different by their nature ??

denis23 [38]

Here, we know, √225 = 25 (perfect squared)
whereas √223 is not a perfect squared.

So, √225 would be "Rational" whereas √223 would be "Irrational" by the nature.

Hope this helps!

5 0

3 years ago

ale4655 [162]

Answer:

$7.80

Step-by-step explanation:

Find how much tax he will be charged by multiplying 60 by 0.13:

60(0.13)

= 7.8

So, he will be charged $7.80 in tax

5 0

3 years ago

Read 2 more answers

What is the product of 0.2*7

Sveta_85 [38]

Answer:

1.4

Step-by-step explanation:

8 0

3 years ago