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Basile [38]
3 years ago
12

Writing Trig Ratios.

Mathematics
1 answer:
notsponge [240]3 years ago
8 0

Answer:

The ratios are as follows for the given angle:

sineX=opposite/hypotenuse

cosineX=adjacent/hypotenuse

tangentX=opposite/adjacent

Insert the appropriate values for each:

7.) sinZ=24/40

8.) sinC=14/50

9.) cosZ=24/30

10.) tanC=27/36

11.) cosZ=12/15

12.) cosC=27/45

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How many 1-inch cubes will fit into a 3 and 1/2 in rectangular prism?
alexandr402 [8]
Suppose the height of the prism is 1 in, then the volume will be:
volume=length×width×height
thus
volume of the prism will be:
V=3×1/2×1
V=1.5 in³

Volume of the cube will be:
v=1×1×1=1 in³
Thus the number of cubes that will be in the prism will be:
(1.5 in³)/(1 in³)
=1.5 cubes~2 cubes
7 0
3 years ago
If the leg of a triangle is 48 and the hypotenuse is 60 what is the length of the other leg
AURORKA [14]

Answer:

The length of the other would be 36.

Step-by-step explanation:

a² + b² = c²

b² = c² - a²

b² = 60² - 48²

b² = 3600 - 2304

b² = 1296

√b² = √1296

b = 36

4 0
3 years ago
Fill in the blanks
katen-ka-za [31]
1 - 9
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3 - -2
4 - -9
that’s the answers for them :), have a great day !! :)
5 0
2 years ago
What is the value of x?<br> 40°<br> (6x + 2)
Anvisha [2.4K]

Answer:

x = 8

Step-by-step explanation:

40 + 6x + 2 = 90   {Complementary angles}

Combine like terms

40+ 2 + 6x = 90

     42 +6x = 90         {Subtract 42 form both sides}

             6x = 90 - 42

             6x = 48       {divide both sides by 6}

        6x/6 = 48/6

             x = 8

6 0
3 years ago
Read 2 more answers
A rectangular book measures 18 x 9. What is the length of its diagonal? Round your answer to the nearest tenth
avanturin [10]

Answer:

20.1246118 or 20.12

Step-by-step explanation:

First draw the box with the diagonal, as you can see it is split into 2 equal right triangles. Now use the pythagorean theorem (a^2+b^2=c^2) to find the length of the diagonal

6 0
3 years ago
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