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finlep [7]
2 years ago
12

Please helppp!! Find the missing side . Round to the nearest tenth

Mathematics
1 answer:
olga nikolaevna [1]2 years ago
6 0

Answer:

7.  7.8

Step-by-step explanation:

We can use Tan of this angle to find the missing side (in this case, the side adjacent to the angle measuring 57°)

 Tan A = (opposite side)/(adjacent side)

    Tan 57° = 12/x

solve for x

           x(Tan 57°) = 12

               x = 12/(Tan 57°)

                 x = 7.8   (rounded to the nearest tenth)

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Help please!! Will mark as brainlist only with an explanation
natta225 [31]

Answer:

F: 48

Step-by-step explanation:

Let x be the length of the side of the cube. RQ can be expressed as a triangle consisting of a diagonal of a face of the cube and the side length x. By the pythagorean theorem, we know that a^2+b^2=c^2. So, we can express the diagonal as x^2+x^2=c^2, giving us the value of c to be x\sqrt{2}. Now, we can once again use the pythagorean theorem to find RQ^2=2x^2+x^2=3x^2, so RQ=x\sqrt{3}=12, so x=4\sqrt{3}. To find the area of the shaded part, we multiply the length times width which gives us (4\sqrt{3})^2=48. So, the area of the shaded face of the cube is F: 48.

5 0
3 years ago
Five digit serial numbers for a product are to be made using letters and/or numbers, e.G. JGR29. The serial number could have al
S_A_V [24]

Answer:

1,404,000 serial numbers can be made

Step-by-step explanation:

For the five digit serial numbers, since all letters and all numbers could be used, then we can use 26 letters (A,B,C,...Z) and 10 numbers (0,1,2,...9).

Now, say the letters and numbers are to occupy the labeled spaces below

_  _  _  _  _

1   2  3  4  5

(NOTE: Spaces 1,2,3 are to be occupied by any of the 26 letter while spaces 4 and 5 are to be occupied by any of the 10 numbers)

For space 1, there are 26 possibilities

For space 2, there will be (26 -1 ) 25 possibilities (since repetition of characters is NOT allowed)

For space 3, there will be (26-2) 24 possibilities (since repetition of characters is NOT allowed)

For space 4, we have 10 possibilities

and for space 5, we (10-1) 9 possibilities (since repetition of characters is NOT allowed)

Therefore, the number of serial numbers that can be made is

26 × 25 × 24 × 10 × 9 = 1404000

Hence, 1,404,000 serial numbers can be made

OR

Using permutation, nPr = n!/(n-r)!

For the letters,

n is the total number; n = 26

and r is the number of available spaces, r = 3

For the numbers,

n = 10

r = 2

Then, we get

26P3 × 10P2

26!/(26-3)! × 10!/(10-2)!

26!/23! × 10!/8!

15600 × 90 = 1404000

5 0
3 years ago
The difference between x and 6 is less than 14
UNO [17]

Answer:

X-6=14

Add 6 on both sides

X=20

7 0
2 years ago
What is the Area of this Parallelogram?
NeX [460]

Answer:

C. 134.54

Step-by-step explanation:

b*h = 19.22*7

4 0
2 years ago
Subtract five from three times a number and the result is equal to the number plus five. find the number.
allsm [11]
3(x)-5=x+5
3x=-5+5+x
3x=x
0=x
because 3x=x is basically would make each part into 0 which would end up the same. 
6 0
3 years ago
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