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Vika [28.1K]
2 years ago
11

Select the correct answer. Suppose that 3 boys and 2 girls go to the theatre and occupy 5 seats in a row. In how many ways can t

hey be seated if all 3 boys sit together?
Mathematics
1 answer:
mylen [45]2 years ago
4 0

Answer:

Possibly 3

Step-by-step explanation:

Lets say

g=girls

b=boys

1st option: gbbbg

2nd option: bbbgg

3rd option: ggbbb

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Calculus question....does anyone know how to solve this?
iogann1982 [59]
h(x)=(f\circ g)(x)
\sqrt{x+5}=\sqrt{g(x)+2}
x+5=g(x)+2
g(x)=x+3

Just to check this is correct:

(f\circ g)(x)=f(g(x))=f(x+3)=\sqrt{(x+3)+2}=\sqrt{x+5}=h(x)
6 0
3 years ago
Find the volume of a pyramid with a square base, where the side length of the base is
Alexxandr [17]

Answer:

127.253 m^3

Step-by-step explanation:

To find the volume, we start by getting the area of the square base

Mathematically, that will be 4.9^2 m^2

To complete the volume, we multiply the area of the base by the height

= 4.9^2 * 5.3 = 127.253 m^3

4 0
3 years ago
Read 2 more answers
In ΔABC, the measure of ∠C=90°, the measure of ∠A=47°, and BC = 3.5 feet. Find the length of AB to the nearest tenth of a foot.
luda_lava [24]
It’s 164.5 that would be ur answer
7 0
3 years ago
Read 2 more answers
Please do my all question​
Kryger [21]

The factorization of the numbers is obtained as

(a) 36 = 2² x 3²,

(b) 60 = 2² x 3 x 5,

(c) 84 = 2² x 3 x 7,

(d) 99 = 3² x 11 and

(d) 180 = 2² x 3² x 5

<h3>Factor of the numbers</h3>

To factorize the numbers we use their factors as show below;

<h3>Factors of 36</h3>

36 = 2² x 3²

<h3>Factors of 60</h3>

60 = 2² x 3 x 5

<h3>Factors of 84</h3>

84 = 2² x 3 x 7

<h3>Factors of 99</h3>

99 = 3² x 11

<h3>Factors of 180</h3>

180 = 2² x 3² x 5

Thus, the factorization of the numbers is obtained as 36 = 2² x 3², 60 = 2² x 3 x 5, 84 = 2² x 3 x 7, 99 = 3² x 11 and 180 = 2² x 3² x 5.

Learn more about factorization here: brainly.com/question/25829061

#SPJ1

6 0
2 years ago
Find (a) arc length and (b) Area of a sector.
barxatty [35]

Answer:

a) 29.45 cm (2 dp)

b) 220.89 cm² (2 dp)

Step-by-step explanation:

<u>Formula</u>

\textsf{Arc length}=r \theta

\textsf{Area of a sector}=\dfrac{1}{2}r^2 \theta

\quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in radians)}

<u>Calculation</u>

Given:

  • \theta=\dfrac{5 \pi}{8}
  • r = 15 cm

\begin{aligned}\implies \textsf{Arc length} & =r \theta\\& = 15\left(\dfrac{5 \pi}{8}\right)\\& = \dfrac{75}{8} \pi \\& = 29.45\: \sf cm\:(2\:dp)\end{aligned}

\begin{aligned} \implies \textsf{Area of a sector}& =\dfrac{1}{2}r^2 \theta\\\\ & = \dfrac{1}{2}(15^2) \left(\dfrac{5 \pi}{8}\right)\\\\& = \dfrac{225}{2}\left(\dfrac{5 \pi}{8}\right)\\\\ & = \dfrac{1125}{16} \pi \\\\& = 220.89 \: \sf cm^2\:(2\:dp)\end{aligned}

5 0
2 years ago
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