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IrinaVladis [17]
3 years ago
12

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

ct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Find the missing part.

Mathematics
2 answers:
Maksim231197 [3]3 years ago
4 0
1) To find x we are going to use the Pythagorean equation:
 x= \sqrt{a^{2}+b^{2}  }
where 
a and b are the legs of our triangle. For our picture we can infer that a=10 and b=8, so lets replace those values in our equation to find x:
x= \sqrt{10^{2}+8^{2}}
x= \sqrt{100+64}
x= \sqrt{164}
x=12.8
We can conclude that the value of x in our triangle is 12.8

2) To find y we are going to use the trigonometric function tangent. Remember that tan(y)= \frac{opposite}{adjacent}. We know that the opposite side of our angle y is 8, and its adjacent side is 10, so lets replace those values in our tangent function to find y:
tan(y)= \frac{8}{10}
tan(y)=0.8
Since we need the measure of angle y, we are going to take inverse tangent to both sides to find it:
y=arctan(0.8)
y=38.66
We can conclude that the value of y in our triangle is 38.66°

3) Finally, to find z we are going to take advantage of two facts: the sum of the interior angles of a triangle is always 180°, and  our triangle is a right one, so one of its sides is 90°. Therefore, y+z+90=180. Since we already know the value of y, lets replace it in our equation and solve for z:
38.66+z+90=180
z+128.66=180
z=51.34
We can conclude that the measure of angle z is 51.34°


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shtirl [24]3 years ago
4 0

Answer:

p

Step-by-step explanation:

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learn this...
if ur equation ends in a variable equaling a number, then there is one solution.
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3 0
3 years ago
Points X and Z are on a number line, and point Y partitions
abruzzese [7]

Answer:

The coordinate of Z is 13.36.

Step-by-step explanation:

According to the statement, we have the following information:

\frac{XY}{XZ} = \frac{5}{12} (1)

\frac{YZ}{XZ} = \frac{7}{12} (2)

X = 0.4 (3)

Y = 5.8 (4)

From (2), we have the following expression:

YZ = \frac{7}{12}\cdot XZ

Y-Z =\frac{7}{12}\cdot (X-Z)

Y - Z = \frac{7}{12}\cdot X -\frac{7}{12}\cdot Z

Y-\frac{7}{12}\cdot X = Z-\frac{7}{12}\cdot Z

\frac{5}{12}\cdot Z = Y-\frac{7}{12}\cdot X

5\cdot Z = 12\cdot Y-7\cdot X

Z = \frac{12}{5}\cdot Y-\frac{7}{5}\cdot X (5)

If we know that Y = 5.8 and X = 0.4, then the coordinate of Z is:

Z = \frac{12}{5}\cdot (5.8)-\frac{7}{5}\cdot (0.4)

Z = 13.36

The coordinate of Z is 13.36.

6 0
2 years ago
HELPPP PLEASE!!!!!!!!!!!
Svetlanka [38]

Answer:

C

Step-by-step explanation:

calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (4, 0) ← 2 points on the line

m = \frac{0-2}{4-0} = \frac{-2}{4} = - \frac{1}{2}

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Scrat [10]

Answer:

i need the triangle

Step-by-step explanation:

the question is incomplete... show the diagram of the triangle

we can't solve without that

5 0
2 years ago
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