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Karo-lina-s [1.5K]
3 years ago
6

Using law of cosines, what is angle X to the nearest degree

Mathematics
2 answers:
Sliva [168]3 years ago
6 0

Answer:79 degrees

Step-by-step explanation:

Jus took the test hope this helps

Monica [59]3 years ago
3 0

Answer:

X=68\°

Step-by-step explanation:

we know that

Applying the law of cosines to the triangle of the figure

yz^2=xy^2+xz^2-2(xy)(xz)cos(X)

substitute the given values

9^2=8^2+8^2-2(8)(8)cos(X)

Solve for X

81=64+64-128cos(X)

81=128-128cos(X)

128cos(X)=128-81

128cos(X)=47

cos(X)=\frac{47}{128}

using a calculator

X=cos^{-1}(\frac{47}{128})

X=68\°

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A flagpole casts a shadow that is 12 ft long. A 6-ft tall man casts a shadow
Vikentia [17]

Answer:

9ft

Step-by-step explanation:

Since the triangles are similar, the corresponding sides are proportional.

Let the height of the flag pole be x feet.

\frac{x}{6}  =  \frac{12}{8}

We multiply both sides by 6 to get:

x =  \frac{12}{8}  \times 6

We reduce the fraction to get:

x =  \frac{3}{2}  \times 6

We now simplify

x = 3 \times 3

x = 9ft

4 0
2 years ago
Find the volume of the following figure. Round the answer to the nearest hundredth if necessary.
telo118 [61]

Answer:

48 yd^3.

Step-by-step explanation:

Volume of a pyramid = 1/3  * height * area of the base.

The area of the triangular base = 1/2 * height * base = 1/2*6*8

= 24 yd^2.

So the volume of the figure

= 1/3 * 6 * 24

= 2*24

= 48 yd^3.

8 0
2 years ago
HELP PLEASE! BRAINLIEST ANSWER! A bag contains a total of 25 marbles. Five of the marbles are blue, 3 are red, 8 are green, and
Andrew [12]
Maybe 50 divided by 25 is 2 so the answer is 2 

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4 0
3 years ago
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djverab [1.8K]

Answer:

You know what :)

Step-by-step explanation:

I feel bad so if you ever need help you can ask me! :)

5 0
3 years ago
Read 2 more answers
HELP QUICK GIVING 50 POINTS!!!
avanturin [10]

Answer:

64/3 cc or 64/3 cm³

Step-by-step explanation:

The formula for the volume of a triangular pyramid is

V = (1/3)(area of base)(height)

Here we have a square prism (actually, a cube), whose square base is 4 cm by 4 cm (4 cm is the cube root of 64 cc).  The height of this cube is also 4 cm.

The volume of a triangular pyramid of base area (4 cm)² and height 4 cm is

V = (1/3)(base area)(height)

   = (1/3)(16 cm²)(4 cm) = 64/3 cc

8 0
3 years ago
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