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3 years ago

Find AB. Round to the nearest tenth. 61°

Mathematics

2 answers:

alekssr [168]3 years ago

8 0

AB~ 14.3 i believe but Im not sure

anzhelika [568]3 years ago

6 0

Answer:

AB ≈ 14.3

Step-by-step explanation:

We're given two sides (BC and CA) and an angle (C) between them; the law of cosines is a good tool for calculating the third side of the triangle here. To remind you, the law of cosines tells us the relationship between the sides of a triangle with side lengths a, b, and c:

$c^2=a^2+b^2-2ab\cos{C}$

Where C is the angle between sides a and b. c is typically the side we're trying to find, so on our triangle, we have

$c=AB\\a=BC=16\\b=CA=5\\C=m\angle C=61^{\circ}$

Substituting these values into the law of cosines:

$c^2=16^2+5^2-2(16)(5)\cos{61^{\circ}}\\c^2=256+25-160\cos{61^{\circ}}\\c^2=281-160\cos{61^{\circ}}\\c=\sqrt{281-160\cos{61^{\circ}}}\\c\approx 14.3$

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Examine this system of linear equations. y – 3x=-2, y = 4

Verdich [7]

Answer:

2, 4

Step-by-step explanation:

Ok so for this you have to substitute. y=4 so you put a 4 where the y is. This becomes

4 - 3x = -2 We can already rule out (2,2) and (4,2) Why? Because the y is not a 4. So it’s gonna be either (0,4) or (2,4). Now, we have to find x. We have to isolate it. You do this by subtracting 4 from both sides.

4 - 4 - 3x = -2 - 4 Now Simplify

-3x = -6 Why -6? Because you can’t subtract a positive from a negative so it becomes -2 + -4. Since they are both negatives, you just add them together, then put the negative sign.

Now divide -3 from both sides. Which becomes

x = 2

4 0

3 years ago

Read 2 more answers

How would you write 6 × 6 × 6 × 6 as an exponential expression?

stepan [7]

The answer is 6⁴.

Exponent is the number of times the factor is being multiplied. For example:
x * x = x²
x * x * x = x³
x * x * x * x = x⁴
....
So:
6 * 6 * 6 *6 = 6⁴

8 0

3 years ago

If the point on the graph is below the origin, x coordinates must be negative.

mariarad [96]

Answer:

true

Step-by-step explanation:

if the point if below or to the left of the origin, it is negative. if it is above or to the right of the origin, it is positive

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3 years ago

Solve for x x^9=12^2x12^7

jekas [21]

Answer:

Step-by-step explanation:

Hi!

Here is your answer,

I will explain in step by step,

${x}^{9} = {12}^{2} \times {12}^{7}$

Here we can simplify this further using this law,

${a}^{m} \times {a}^{n} = {a}^{m + n}$

So we will get,

${x}^{9} = {12}^{7 + 2} \\ {x}^{9} = {12}^{9}$

Since the powers are same we can cancel it out and we will get,

$x = 12$

(Hope this answer helped :))

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3 years ago

A ball weighs 15lb on earth and 5.7 pounds on mars. What is the constant proportionality between weight of an object on mars and

krok68 [10]

So its asking you to find the gravity on earth relative to the gravity on mars.

Set up an equation to figure out the difference between the two gravities

$15x=5.7
\\x=5.7/15$
x=.38

I don't know what constant of proportionality is in this context but a ball on mars would weigh .38 the amount that it does on earth.

5 0

3 years ago