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kipiarov [429]
3 years ago
11

There are 12 students in a graduate class. The students are to be divided into three groups of 3, 4, and 5 members for a class p

roject. How divisions are possible?
Mathematics
1 answer:
exis [7]3 years ago
8 0

Answer:

27720

Step-by-step explanation:

Given that there are 12 students in a graduate class. The students are to be divided into three groups of 3, 4, and 5 members for a class project.

From 12 students 3 students for group I can be selected in 12C3 ways.

Now from remaining 9, 4 students can be selected for II group in 9C4 ways

The remaining 5 have to be placed in III group.

Hence possible divisions for grouping the 12 students in the class into three groups

= 12C3 *9C4

= =220*126=27720

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A central angle in a circle with a radius of 3 cm intercepts an arc with a length of 6 cm what is the measure of the central ang
Fiesta28 [93]

Answer:

114.59\°

Step-by-step explanation:

we know that

The circumference of a circle is equal to

C=2\pi r

In this problem we have

r=3\ cm

substitute

C=2\pi (3)=6 \pi\ cm

Remember that

360\° subtends the arc length of the complete circle

so

by proportion

Find the measure of the central angle for an arc length of 6\ cm

\frac{360}{6\pi } \frac{degrees}{cm} =\frac{x}{6} \frac{degrees}{cm} \\ \\x=6*360/(6\pi )\\\\ x=114.59\°

7 0
3 years ago
F(x) = -2x + 9, find x if f(x) = 23
JulijaS [17]

Answer:

x = -7

Step-by-step explanation:

f(x) = -2x + 9

f(x) = 23

therefore, f(x) =

-2x + 9 = 23

     -2x = 23 - 9

     -2x = 14

       -x = 14 ÷ 2

       -x = 7

        x = -7

7 0
3 years ago
The length of sides of triangular fields are 10m, 24m and 26m. A farmer grows flowers in this field. If 5kg flowers can be obtai
Ostrovityanka [42]

Answer:

Area: 120m²

Flowers: 600kg

Step-by-step explanation:

we can use Heron's formula to solve for the area.

Heron's formula:

Area of triangle = \sqrt{ s(s-a)(s-b)(s-c)}

s = 1/2 (a+b+c)

s = 1/2 (10 +24+26)

s = 30

Area of triangle

=\sqrt{30(30-10)(30-24)(30-26)} \\=120m^{2}

Since every 1 m² of area can grow 5kg of flowers,

the yield of flowers will be:

120 x 5

=600kg

7 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B%20%7B4%20a%7D%5E%7B2%7D%20%2B%20%20%7B12a%7D%5E%7B2%7D%20%7D%20" id="TexFormula1
PolarNik [594]

Answer:

The answer is 4a

Step-by-step explanation:

1) Simplify 4a² + 12a² to 16a².

\sqrt{ {16a}^{2} }

2) Use this rule:

\sqrt{ab}  =  \sqrt{a}  \sqrt{b}

\sqrt{16}  \sqrt{ {a}^{2} }

3) Since 4 × 4 is 16, the square root of 16 is 4.

4 \sqrt{ {a}^{2} }

4) Simplify.

4a

<u>Therefor</u><u>,</u><u> </u><u>the</u><u> </u><u>answer</u><u> </u><u>is</u><u> </u><u>4a</u><u>.</u>

8 0
2 years ago
Solve the equation on the interval [0,2π). <br><br> 2 csc x+17=15+csc x
Rudiy27

Answer:

look at image

Step-by-step explanation:

trust me bro

7 0
3 years ago
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