Find a using sin cos or tan Ex: a/sina=b/sinb

Mathematics

1 answer:

egoroff_w [7]3 years ago

3 0

Check the picture below.

make sure your calcualtor is in Degree mode.

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14(0.89)^x+4.5 =162

lisabon 2012 [21]

$14(0.89)^{x + 4.5} = 162$
$\frac{14(0.89)^{x + 4.5}}{14} = \frac{162}{14}$
$0.89^{x + 4.5} = 11\frac{4}{7}$
$ln(0.89^{x + 4.5}) = ln(11\frac{4}{7})$
$(x + 4.5)ln(0.89) = ln(11\frac{4}{7})$
$\frac{(x + 4.5)ln(0.89)}{ln(0.89)} = \frac{ln(11\frac{4}{7})}{ln(0.89)}$
$x + 4.5 = -2101.14032500$
$x = 2105.64032500$

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3 years ago

What number should be added to 95 to get a sum of −21?

Natali [406]

Answer: -116

Step-by-step explanation: Since negative numbers are involved, the best way to solve this is add 95 and POSITIVE 21. This gives you 116. Since you move from a positive to a negative, the 116 needs to be negative

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3 years ago

A 15-foot ladder leans against a house. The bottom of the ladder is 7 feet from the house. To the nearest degree, what angle doe

max2010maxim [7]

The ladder is forming a right triangle with the house. In this right triangle the hypotenuse is the measure of the ladder, and the distance between the house and he ladder is one of the sides of the triangle. To find the angle, $\alpha$ , that the ladder is making with the ground, we are going to use a trig function that relates the adjacent side of our angle with the hypotenuse. That trig function is Cosine.
$Cos \alpha = \frac{adjacent.side}{hypotenuse}$
$Cos \alpha = \frac{7}{15}$
$\alpha =arcCos( \frac{7}{15} )$
$\alpha =62.2$

We can conclude that the ladder make with the ground a 62° angle.

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3 years ago

A runner is preparing for a marathon that is cut into 5 equal sections. The marathon is 42.95 kilometers long. How long is each

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Your answer is 21.475km

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2 years ago

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Where is the blue point on the number line -5 0 5

noname [10]

The blue point on the number line is 5 units away from zero, which is: 5.

<h3>What is a Number Line?</h3>