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Kitty [74]
3 years ago
5

Geraldine is picking a four-digit password by using the digits 0 through 9. She can use each digit only once. How many different

passwords are possible? 34 40 5,040 10,000
Mathematics
2 answers:
quester [9]3 years ago
7 0

Answer:

5040

Step-by-step explanation:

BabaBlast [244]3 years ago
5 0

Answer:

5040 different combinations

Step-by-step explanation:

0-9 = 10 numbers

1st digit can be 1 0f 10

2nd digit can be 1 of 9

3rd digit can be 1 of 8

4th digit can be 1 of 7

10×9×8×7=5040

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A piece if wire 40cm is bent to form a right angled triangle whose hypotenuse is 17cm long find the other two sides of triangle
hjlf

Answer: 150mm

Step-by-step explanation:

Take the two adjecent sides of the triangle to be x and y and X is the angle opposite the side, x.

From the trigonometric identities for a right-angled triangle, it is known that

x=170sin X and;

y=170cos X

Thus the perimeter of the triangle is given by

170sin X + 170cos X + 170 = 400

170(sin X + cos X) = 400 - 170

170(sin X + cos X) = 230

sin X + cos X = 230/170 = 1.3529

Squaring both sides hence,

sin^2(X) + 2sin X.cos X + cos^2(X) = 1.8304

Recall that sin^2(X) + cos^2(X) = 1 and 2sin X.cos X = sin 2X.

Thus, the former expression gives;

1 + sin 2X = 1.8304

sin 2X = 0.8304

2X = arcsin (0.8304)

2X = 56.14° or (180 - 56.14)° = 56.14° or 123.86° for X existing within a triangle.

X = 56.14/2 or 123.86/2

X = 28.07° or 61.93°

Thus the two adjacent sides are ;

x = 170 sin (28.07) = 80mm

y = 170 cos (28.07) = 150mm

Using the value of 61.93° as X would give the same values but interchanged for x and y.

I hope you find this useful.

5 0
3 years ago
Whats the distance between the points (2, 7) and (2, 15)
sveta [45]

Answer:

The distance between the points (2, 7) and (2, 15) is 8.

Step-by-step explanation:

<u>What is the Distance between Two Points?</u>

For any two points there is exactly one line segment connecting them. The distance between two points is the length of the line segment connecting them. Note that the distance between two points is always positive. Segments that have equal length are called congruent segments.

How to Solve:

Formula:
  • \sqrt{(x2-x1)^2+(y2-y1)^2}

Putting Values:

=\sqrt{(2-2)^2+(15-7)^2}

=\sqrt{(0)^2+(8)^2}

=\sqrt{0+64}

=\sqrt{64}

=8

7 0
2 years ago
How do you find the HCF of 15t and 6s?
earnstyle [38]

Answer:

HCF=3

Step-by-step explanation:

Factors of 15t= 3*5*t

Factors of 6s= 2*3*s

HCF= Common factors

common factor = 3

HCF=3

4 0
2 years ago
Simplify. rewrite the expression in the form 8n. (8^-8(8^3)
Mariana [72]




I’m not sure but I got 8 ^-5
4 0
2 years ago
Explain how you know the values of the digits in the number 58
scoundrel [369]
If you separate the numbers 58 to 50 and 8 you get the values for both. 
7 0
3 years ago
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