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ehidna [41]
3 years ago
13

How many 5 digit numbers have five distinct digits?

Mathematics
2 answers:
Y_Kistochka [10]3 years ago
8 0

Answer:3

Step-by-step explanation:

ipn [44]3 years ago
8 0

Answer:

3

Step-by-step explanation:

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I need help with #1 of this problem. It has writings on it because I just looked up the answer because I’m confused but I want t
belka [17]

In the figure below

1) Using the theorem of similar triangles (ΔBXY and ΔBAC),

\frac{BX}{BA}=\frac{BY}{BC}=\frac{XY}{AC}

Where

\begin{gathered} BX=4 \\ BA=5 \\ BY=6 \\ BC\text{ = x} \end{gathered}

Thus,

\begin{gathered} \frac{4}{5}=\frac{6}{x} \\ \text{cross}-\text{multiply} \\ 4\times x=6\times5 \\ 4x=30 \\ \text{divide both sides by the coefficient of x, which is 4} \\ \text{thus,} \\ \frac{4x}{4}=\frac{30}{4} \\ x=7.5 \end{gathered}

thus, BC = 7.5

2) BX = 9, BA = 15, BY = 15, YC = y

In the above diagram,

\begin{gathered} BC=BY+YC \\ \Rightarrow BC=15\text{ + y} \end{gathered}

Thus, from the theorem of similar triangles,

\begin{gathered} \frac{BX}{BA}=\frac{BY}{BC}=\frac{XY}{AC} \\ \frac{9}{15}=\frac{15}{15+y} \end{gathered}

solving for y, we have

\begin{gathered} \frac{9}{15}=\frac{15}{15+y} \\ \text{cross}-\text{multiply} \\ 9(15+y)=15(15) \\ \text{open brackets} \\ 135+9y=225 \\ \text{collect like terms} \\ 9y\text{ = 225}-135 \\ 9y=90 \\ \text{divide both sides by the coefficient of y, which is 9} \\ \text{thus,} \\ \frac{9y}{9}=\frac{90}{9} \\ \Rightarrow y=10 \end{gathered}

thus, YC = 10.

4 0
1 year ago
What is the solution to 3x2 + 4x - 8 = 0?
Ber [7]

Answer:

The answer is c

Step-by-step explanation:

3 0
3 years ago
Would it be 1/5 ?? i'm not sure how to do probability
Sidana [21]

Answer:

Choice A

Step-by-step explanation:

5 red socks, 2 white socks, 3 blue socks = 10 socks


1 st sock red : 5 / 10

2nd sock red : 4/9

we didn't put the sock back

a pair of red socks

5/10 * 4/9 = 20/90 = 2/9



8 0
3 years ago
Someone PLEASEEEE HELPPPP
igomit [66]

Answer:

x = 18√3

Step-by-step explanation:

From the picture attached,

In a right triangle,

Measure of one angle = 30°

Measure of adjacent side of the angle = 9 units

We have to find the measure of Hypotenuse from the given properties.

By cosine rule,

cos(30°) = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

\frac{\sqrt{3}}{2} =\frac{9}{x}

x=18\sqrt{3}

Therefore, measure of Hypotenuse is 18√3 units.

3 0
3 years ago
Ng
Feliz [49]

Answer:

PRT%

Step-by-step explanation:

<em>PR</em><em>T</em>

<em>= 320 \times 2.3 \times 20 \div 100 = 1472</em>

5 0
2 years ago
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