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Anna007 [38]
3 years ago
13

100 POINTS AND BRAINLIST

Mathematics
2 answers:
aniked [119]3 years ago
7 0
X = 55.71 degrees

sin(β) = b / c so β = arcsin(b / c) (inverse sine)
cos(β) = a / c so β = arccos(a / c) (inverse cosine)
tan(β) = b / a so β = arctan(b / a) (inverse tangent)
cot(β) = a / b so β = arccot(a / b) (inverse cotangent) :)
Cloud [144]3 years ago
4 0

Answer:

\sf x= 55.7

using tan rule:

\sf tan(x)= \dfrac{opposite}{adjacent}

<u>using the formula:</u>

\sf tan(x)= \dfrac{22}{15}

\sf x= tan^{-1}(\dfrac{22}{15})

\sf x= 55.7

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Find the shortest distance, d, from the point (5, 0, −6) to the plane x + y + z = 6.
DENIUS [597]

Answer:

\frac{7}{\sqrt{3}}

Step-by-step explanation:

The shortest distance d, of a point (a, b, c) from a plane mx + ny + tz = r is given by:

d = |\frac{(ma + nb + tc - r)}{\sqrt{m^2 + n^2 + t^2}} |                   --------------------(i)

From the question,

the point is (5, 0, -6)

the plane is x + y + z = 6

Therefore,

a = 5

b = 0

c = -6

m = 1

n = 1

t = 1

r = 6

Substitute these values into equation (i) as follows;

d = |\frac{((1*5) + (1*0) + (1 * (-6)) - 6)}{\sqrt{1^2 + 1^2 + 1^2}} |

d = |\frac{((5) + (0) + (-6) - 6)}{\sqrt{1 + 1 + 1}} |

d = |\frac{(-7)}{\sqrt{3}} |

d = \frac{7}{\sqrt{3}}

Therefore, the shortest distance from the point to the plane is  d = \frac{7}{\sqrt{3}}

5 0
4 years ago
$4 for <br> 1<br> 4<br> of a pie. What is the cost of a whole pie?
s2008m [1.1K]

Answer:

$16

Step-by-step explanation:

1/4x4=1

So 4x4 = 16

4 0
3 years ago
Read 2 more answers
(0,65-3,21)por(-8,12)=?
PIT_PIT [208]

Answer:  =20,7872

Step-by-step explanation:

For this exercise it is important to remember the multiplication of signs. Notice that:

(+)(+)=+\\\\(-)(-)=+\\\\(-)(+)=-\\\\(+)(-)=-

In this case you have the following expression given in the exercise:

(0,65-3,21)(-8,12)

Then you can follow the steps shown below in order to solve it:

Step 1: You must solve the subtraction of the numbers 0,65 and 3,21. Then:

=(-2,56)(-8,12)

Step 2: Now you must find the product of the decimal numbers above. In order to do that you must multiply the numbers.

(As you can notice, both are negative, therefore you know that the product will be positive).

Then, you get that the result is the following:

 =20,7872

5 0
3 years ago
Angles ABC and DBE are vertical angles, with angle ABC = 4x, and angle DBE =( 2x+18)
Dmitrij [34]
 V<span>ertical angles are equal.
We have 4x = 2x + 18.
Then, 2x = 18;
x = 18 </span>÷ 2;
x = 9 degrees;
The measure of angle DBE is 2 × 9 + 18 = 36 degrees.
3 0
3 years ago
Cliff Branch bought a home with a 10.5% adjustable rate mortgage for 30 years. He paid $9.99 monthly per thousand on his origina
vichka [17]
I'm Unsure, But Here's What I Found.

9.99×65=649.35

10.68×65=694.2

((10.68÷9.99)−1)×100=6.9%
4 0
4 years ago
Read 2 more answers
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