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Leviafan [203]
3 years ago
10

In the square pyramid shown below, the diagonal length FC = 16√2 centimeters and the height of the pyramid is 7 centimeters. Fin

d the slant height AD of the pyramid, to the nearest tenth. Show your work with reasoning for each step.

Mathematics
1 answer:
FrozenT [24]3 years ago
8 0
Consider it under a triangle, 
So, Slant height will be hypotenuse, and height will be perpendicular & base.

We know,base diagonal = √2 * base
So, 16√2 = √2 * b
b = 16

Now, substitute it into the expression:
h² = 7² + 16²
h² = 49 + 256
h = √305
h = 17.5   [ To nearest tenth ]

In short, Your Answer would be: 17.5 cm

Hope this helps!
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laiz [17]
So attached is a picture of the triangle you are talking about and listed under are the choices:

A.) Cos Z=b/c 
B.) Sin X=c/b 
C.) Tan X=b/a 
<span>D.) Tan Z=a/b
</span>
The answer would then be B. SinX = c/b.

Just remember SOH CAH TOA:

Sinθ=  Opposite         Cosθ =    Adjacent             Tanθ=   Opposite
         Hypotenuse                   Hypotenuse                        Adjacent

Using the triangle in the scenario, you just need to identify which side is which. 

Given m∠Z
Adjacent = b
Opposite = a
Hypotenuse = c

SinZ=  a         CosZ = b             TanZ= a 
            c                      c                        b

Given m∠X:

Adjacent = b
Opposite = a
Hypotenuse = c

SinX= <u> b </u>        CosX =<span><u> a </u></span>            TanX=<span><u> b </u></span>
            c                      c                        a

So the answer is B. 

Attached is a picture of how I assigned the sides depending on the angle used.

4 0
4 years ago
Which is the inverse of this matrix? A. B. C. D. E. The matrix is noninvertible.
kvasek [131]

Answer:

A.

-19 9 7

[15 -7 6 ]

-2  1  1

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
An automatic doughnut machine can produce 1500 doughnuts in 9 hours.
Svetllana [295]

Answer:

1 hr, 48 minutes

Step-by-step explanation:

you can create a proportion:

doughnuts/hours = doughnut/hours (h)

1500/9 = 300/h

cross-multiply to get:

1500h = 2700

h = 27/15

h = 1 12/15, which is 1 hr, 48 minutes because 12/15 = 48/60

7 0
2 years ago
What is the sum or difference of 5/7 - 1/3
Hatshy [7]
ANSWER: 8/21

Step:
1. Find the GCF (Greatest Common Factor)
           The two denominator which is the bottom number have to be the same ALWAYS when adding and subtracting the fraction. So to find the GCF, you keep multiplying until you see the same number, only use the bottom number to find the GCF
      7: 7, 14, 21, 28
      3: 3, 6, 9, 12, 15, 18, 21, 24, 27
         GCF= 21

2.  5/7 -1/3
    Multiple both to get 21
        5/7 x 3/3 = 15/21
        1/3 x 7/7 = 7/21

3. Sove
     15/21 - 7/21
        = 8/21

7 0
3 years ago
THE BASE AND HEIGHT OF A TRIANGLE WHOSE HEIGHT IS FIVE MORE THAN 6 TIMES ITS BASE
Sedaia [141]
X by 6 then add it all togeth
8 0
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