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pav-90 [236]
3 years ago
7

Evaluate 7!/5!2! choices 1 21 42

Mathematics
2 answers:
atroni [7]3 years ago
6 0
\frac{7!}{5!2!} = \frac{7 * 6 * 5 * 4 * 3 * 2 * 1}{5 * 4 * 3 * 2 * 1 * 2 * 1} = \frac{7 * 6}{2 * 1} = \frac{42}{2} = 21

The answer is B.
grigory [225]3 years ago
5 0

The correct answer is B. 21

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12.5% of what number 24?
Valentin [98]

Answer:

192

Step-by-step explanation:

12.5% is 24.

So 100% will be (100/12.5) x 24 = 192.

Done.

6 0
3 years ago
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What part of the circumference is an arc whose measure is 30°?<br> 1/12<br> 1/10<br> 1/8<br> 1/6
GrogVix [38]

Answer:

1/12

Step-by-step explanation:

The whole circumference (i.e complete circle) is an arc which measures 360°

in our case, it is given that our arc measures only 30°

the fraction of our arc of 30° to the complete circle of 360° is

30/360

= 3/36

= 1/12

5 0
4 years ago
If the perimeter is 168 and the width is 6 feet longer than thr length what are the dimensions
Ksenya-84 [330]

\bf \textit{perimeter of a rectangle}\\\\ P=2(L+w)~~ \begin{cases} L=length\\ w=width\\ ----------\\ P=168\\ w=\stackrel{\textit{6 feet longer than L}}{L+6} \end{cases}\implies 168=2(L+\stackrel{w}{L+6}) \\\\\\ 84=2L+6\implies 78=2L\implies \cfrac{78}{2}=L\implies \boxed{39=L} \\\\\\ w=39+6\implies \boxed{w=45}

4 0
3 years ago
The school Library was building a new one-room addition. the architects drawing shown below uses the scale 1/8 in = 1ft
EastWind [94]

Answer:

the total are is 459

Step-by-step explanation:

3  3/16 divided by 1/8 = 25 1/2 or 25.5

2  1/4 divided by 1/8 = 18

so 18 x 25.5 = 459

hope this helps

8 0
3 years ago
Read 2 more answers
8. A triangle has sides with lengths of 6, 8, and 10 units, and a square has a
svet-max [94.6K]

Difference between the area of the triangle and square is 25

Step-by-step explanation:

  • Step 1: Find the area of the triangle given its 3 sides using the Heron's formula.

Area of the triangle = \sqrt{s (s-a)(s-b)(s-c)} where s = \frac{a + b + c}{2}

⇒ s = (6 + 8 + 10)/2 = 24/2 = 12

\sqrt{s(s-a)(s-b)(s-c)} = \sqrt{12(12-6)(12-8)(12-10)}

                                    = \sqrt{12(6)(4)(2)} = \sqrt{576} = 24 sq. units

  • Step 2: Find the area of the square with perimeter = 28 units.

Perimeter of the square = 4 × side = 28

⇒ Side of the square = 28/4 = 7 units

⇒ Area of the square = (side)² = 7² = 49 sq. units

  • Step 3: Find the difference between the area of the square and triangle.

Difference = 49 - 24 = 25

8 0
3 years ago
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