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3 years ago

Unit 8 right triangles trigonometry

Mathematics

2 answers:

qwelly [4]3 years ago

6 0

I think the answer is X=13.834 units

Shalnov [3]3 years ago

5 0

X = 13.834 units

You need to use a trig function to solve for x. In relationship to the 70 degree angle, the 13 unit side is opposite to it. Side x is the hypotenuse. Because of this, you use the sine function. Sine of an angle = length of opposite side/length of hypotenuse (sin(x) = O/H). You already know two of these values, you just need to solve for the third.

Now, I plug 70 degrees in for c and 13 in for the length of the opposite side. I plug in x for length of hypotenuse.

sin(70) = 13/x
I need to isolate x on one side
x(sin(70))=13
x=sin(70)/13
x = 13.834

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Step-by-step explanation:

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3 years ago

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Can someone pls help me

liberstina [14]

Answer:

Tenth: 6.2

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Thousandth: 6.159

Step-by-step explanation:

***In general, round up when the number is greater or equal to 5. If number is less, round down***

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4 years ago

In the triangle below, x=? Cm. Round to the nearest tenth. Please help!

postnew [5]

Answer:

3.64 = x

Step-by-step explanation:

Using tignometry!

As it is an right angle triangle we can use 'tan' function.

therefore:

tan(20) = x/10

tan(20) * 10 = x

3.639702343 = x

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Easy!

Give brainliest if it helped

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4 years ago

Consider a circle whose equation is x2 + y2 + 4x – 6y – 36 = 0. Which statements are true? Check all that apply. To begin conver

umka21 [38]

Answer:

1) False, to begin converting the equation to standard form, each side must be added by 36. 2) True, to complete the square for the x terms, add 4 to both sides, 3) True, the center of the circle is at (-2, 3), 4) False, the center of the circle is at (-2, 3), 5) False, the radius of the circle is 7 units, 6) False, the radius of the circle is 7 units.

Step-by-step explanation:

Let prove the validity of each choice:

1) To begin converting the equation to standard form, subtract 36 from both sides:

Let consider the following formula and perform the following algebraic operations:

(i) $x^{2} + y^{2} + 4\cdot x - 6\cdot y - 36 = 0$ Given

(ii) $x^{2} + 4\cdot x + y^{2} - 6\cdot y - 36 = 0$ Commutative Property

(iii) $(x^{2} + 4\cdot x + 4) - 4 + (y^{2} - 6\cdot y + 9) - 9 -36 = 0$ Modulative/Associative Property/Additive Inverse Existence

(iv) $(x+ 2)^{2} - 4 + (y - 3)^{2} - 9 - 36 = 0$ Perfect Trinomial Square

(v) $(x+2)^{2} +(y-3)^{2} = 4 + 9 + 36$ Commutative Property/Compatibility with Addition/Additive Inverse Existence/Modulative Property

(vi) $(x+2)^{2} + (y-3)^{2} = 49$ Definition of Addition/Result

False, to begin converting the equation to standard form, each side must be added by 36.

2) True, step (iii) on exercise 1) indicates that both side must be added by 4.

3) The general equation for a circle centered at (h, k) is of the form:

$(x-h)^{2}+ (y-k)^{2} = r^{2}$

Where $r$ is the radius of the circle.

By direct comparison, it is evident that circle is centered at (-2,3).

True, step (vi) on exercise 1) indicates that center of the circle is at (-2, 3).

4) False, step (vi) on exercise 1) indicates that the center of the circle is at (-2, 3), not in (4, -6).

5) After comparing both formulas, it is evident that radius of the circle is 7 units.

False, the radius of the circle is 7 units.

6) After comparing both formulas, it is evident that radius of the circle is 7 units.

False, the radius of the circle is 7 units.

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3 years ago

Read 2 more answers