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Svetlanka [38]
3 years ago
8

Find the value of x PLEAASEEE HELP!!!

Mathematics
1 answer:
vodomira [7]3 years ago
7 0

Answer:

x = 37

Step-by-step explanation:

4x + 3 + x - 8 = 180

4x + x - 8 + 3 = 180

5x - 5 = 180

5x = 185

x = 37

Hope this helps!

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Suppose ABC is a right triangle with sides​ a, b, and c and right angle at C. Find the unknown side length using the Pythagorean
Leno4ka [110]

Answer:

a = \sqrt{7}

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.:

<em>Suppose ABC is a right triangle with sides​ a, b, and c and right angle at C. Find the unknown side length using the Pythagorean theorem and then find the values of the six trigonometric functions for angle B. when b=3 and c=4</em>.

My answer:

We will Pythagoras theorem, which states that the sum of squares of two legs of a right triangle is equal to the square of the hypotenuse of right triangle. Because the question says that ABC is a right triangle.

a^2+b^2=c^2

Given that: b=3 and c=4

a^2+3^2=4^2a^2+9=16a^2+9-9=16-9a^2=7

so a = \sqrt{7}

We know that tangent relates opposite side of a right triangle with adjacent side.

\text{tan}(B)=\frac{a}{b}\\\text{tan}(B)=\frac{\sqrt{7}}{3}

Please have a look at the attached photos.

3 0
3 years ago
If f = 350i - 250j - 450k6 n and cable ab is 9 m long, determine the x, y, z coordinates of point a
ycow [4]
<span> we know the length of the cable is 9m.
That means the magnitude of  </span><span><span>r<span><span>​<span>AB</span></span><span>​​</span></span></span>=9</span><span>m.
The unit vector, denoted u, is each of </span><span>r<span><span>​<span>AB</span></span><span>​​</span></span></span><span> divided by the magnitude.

</span>u=<span>(<span>​​<span>​x/9</span><span>​​</span></span>i−<span>​y/9<span>​​</span></span>j−<span>​z/9<span>​​</span></span>k<span>)

</span></span><span>We can also figure out the unit vector of F. 
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u=0.562i−0.401j−0.723<span>k
</span>
<span>Force F is directed from point A to B, then both unit vectors must be equal.

Therefore
</span>(​​​x/9​​i−​y/9​​j−​z/9​​k)=0.562i−0.401j−0.723k
<span>We can now solve for each term
x/9=0.562----- > x=5.058 m
-y/9=-0.401--------- > y=3.609 m
-z/9=-0.723------- > z=6.507 m

The answer is
the coordinates of point a
(5.058,3.609,6.507)
</span>
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3 years ago
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Lera25 [3.4K]
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