Work out the surface area of this solid prism.

Mathematics

1 answer:

Aliun [14]3 years ago

7 0

Answer:

264m^2

Step-by-step explanation:

6 by 8 triangle =6*8 for both=48m^2

10 by 9 =10*9=90m^2

6 by 9 =6*9=54m^2

8 by 9 =8*9=72m^2

total=48+90+54+72=264 m^2

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The graphs below are both quadratic functions. The equation of the red graph is

Natali5045456 [20]

Answer:

D. $g(x)=\frac{1}{5}x^2$

Step-by-step explanation:

The equation of the red quadratic graph is $f(x)=x^2$ .
This is the parent quadratic function or the base of the quadratic functions.
This red quadratic graph has been dilated by a certain scale factor to obtain the blue graph. Recall that, when the scale factor is a fraction, such that $0\:$ the graph is stretched horizontally.
The dilated graph then becomes wider than the parent function.
From the given function equations, the possible value of k can only be $k=\frac{1}{5}$ .
Therefore the blue graph has equation: $g(x)=\frac{1}{5}x^2$
The correct answer is D.

6 0

3 years ago

Tim must read 2 books from a list of 7 recommended books for his summer reading program. In how many different ways can Tim choo

Marianna [84]

There are 21 ways Tim choose 2 books from the 7 recommended book

Solution:

Given that Tim must read 2 books from a list of 7 recommended books for his summer reading program

To find: different ways can Tim choose 2 books from the 7 recommended books

This is a combination problem

A combination is a selection of all or part of a set of objects, without regard to the order in which objects are selected

The formula for combinations is:

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

where n represents the number of items, and r represents the number of items being chosen at a time

Here we have to choose 2 books from 7 books

Therefore, n = 7 and r = 2

Substituting values in above formula, we get

$\begin{aligned}&7 C_{2}=\frac{7 !}{2 !(7-2) !}\\\\&7 C_{2}=\frac{7 !}{2 ! \times 5 !}\end{aligned}$

For a number n, the factorial of n can be written as,

$n !=n \times(n-1) \times(n-2) \dots \dots \times 2 \times 1$

Therefore, we get

$7 C_{2}=\frac{7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}{2 \times 1 \times 5 \times 4 \times 3 \times 2 \times 1}\\\\7C_2 = 7 \times 3 = 21$