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1 year ago

Question 2 of 10 What is the surface area of the rectangular pyramid below?

Mathematics

1 answer:

Ymorist [56]1 year ago

5 0

Answer:

363

Step-by-step explanation:

11x11=121

((11x11)÷2)x4=11x11x2=121x2=242

121+242=363

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there are 12 actors auditioning for 5 different roles in a new play. how many different cast are possible

aleksandr82 [10.1K]

Answer:

95,040 different cast are possible

Step-by-step explanation:

In this case the order in which the actors are selected for the 5 different roles is important. Therefore we use the permutations formula.

$nPr =\frac{n!}{(n-r)!}$

Where n is the number of items you can choose and choose r from them.

In this case $n = 12$ and $r = 5$

$12P5 =\frac{12!}{(12-5)!}$

$12P5 =\frac{12!}{7!}$

$12P5 =95040$

3 0

2 years ago

3. In class today, 1/4 of the students wore shorts and

Mkey [24]

Answer:

A. $\frac{1}{4}$ = $\frac{3}{12}$

Step-by-step explanation:

$\frac{1}{4}$ of the students wore shorts.

$\frac{3}{12}$ of the students wore jeans.

Converting the fractions of the students who wore shorts and jeans respectively;

$\frac{1}{4}$ = 0.25

$\frac{3}{12}$ = 0.25

This means that the ratio of students who wore shorts is the same as that of students who wore jeans.

i.e $\frac{1}{4}$ = $\frac{3}{12}$

4 0

2 years ago

Read 2 more answers

What is the equation of the line that is paralle to y=3x-8 and passes thur the point (4,-5)

Brrunno [24]

⊰_________________________________________________________⊱

Answer:

The equation is-: y=3x

Step-by-step explanation:

$\large\displaystyle\text{$\begin{gathered} \sf{Substitute \ the \ values \ into \ the \ formula \ y-y_1=m(x-x_1)} \\ \sf {parallel \ lines \ have \ same \ slopes, \ thus} \\ \sf{slope \ of \ the \ 2nd \ line = 3}\\ \sf{now \ substitute \ the \ values} \\ \sf {y-(-5)=3(x-4)}\\ \sf{y+5=3(x-4) (It's \ Point-Slope\;Form, \ see \ below \ for \ slope-intercept)}\\ \sf {y+5=3x-12} \\ \sf{y=3x-12-5} \\ \sf{y-3x-17} \end{gathered}$}}$