Figure pqrst is the image of figure abcde.use the diagram to solve problems 1 and 2

Find the cost of painting a cubical block of side length 3.2 cm, if painting costs $5 per cm2.

SashulF [63]

<h3>Answer:- </h3>

$\longrightarrow \sf \$ \: 307.2$

<h3>Solution:-</h3>

Since painting is done on outer surface of cubical block we will have to find its surface area which is given by-

$\green{ \underline { \boxed{ \sf{Surface \: area \:of \:Cube = 6a^2}}}}$

where a is side of the cube

$\begin{gathered}\\\quad \sf Surface \: area \:of \:Cube = 6\times(3.2)^2 \\\end{gathered}$

$\begin{gathered}\\\implies \quad \sf 6\times 3.2\times3.2 \\\end{gathered}$

$\begin{gathered}\\\implies \quad \sf 61.44 cm^2 \\\end{gathered}$

Now,

$\maltese \sf Cost \:of \:painting \: 1 \: cm² = \$ 5$

$\sf Cost \: of \: painting \: 61.44 \:cm²=61.44×5$

$\sf\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad=\$ 307.2$

$\leadsto$ Thus it would cost $ 307.2 to paint the entire cubical block.

3 0

2 years ago

2,3,5,9,17,33 what are the next three terms?

stich3 [128]

The next three terms of sequence are 65, 129 and 257

Solution:

Given sequence is:

2, 3, 5, 9, 17, 33

We have to find the next three terms in sequence

Let us find the logic used in this sequence

$2 + 2^0 = 2 + 1 = 3\\\\3 + 2^1 = 3 + 2 = 5\\\\5 + 2^2 = 5 + 4 = 9\\\\9 + 2^3 = 9 + 8 = 17\\\\17 + 2^4 = 17 + 16 = 33$

Thus the sequence is increasing by 2 raised to power 0, 1, 2 and so on

Thus the next three terms are found by:

$33 + 2^5 =33 + 32= 65\\\\65 + 2^6 = 65 + 64 = 129\\\\129 + 2^7 = 129 + 128 = 257$

Thus the next three terms of sequence are 65, 129 and 257

3 0

3 years ago

Say that a supplier claims they are 99% confident that their products will be in the interval of 50.02 to 50.38. You take sample

nydimaria [60]

Answer:

The supplier becomes less accurate than they otherwise would have tried to claim. A further explanation is below.

Step-by-step explanation:

According to the provider, this same width of that same confidence interval would be as follows:

= $50.38 - 50.02$

= $0.36$

Depending on the input observed, the width including its confidence interval would be as follows:

= $50.39 - 50.01$

= $0.38$

As even the width of that interval again for survey asserted > the width including its confidence interval according to the provider's statement, we could conclude that such is the appropriate reaction.

3 0

3 years ago

1

laiz [17]

It is a function because they are.

3 0

3 years ago

If the sum of six consecutive even integers is 390 what is the smallest of the six integers

saveliy_v [14]

The answer is 60 but im going to explain it down below if you want to know how to do it :)

first because we dont know the values of the 6 numbers we have to lay it out like this.
x
x+2
x+4
x+6
x+8
x+10
-------- (then we add it together)
6x+30 = 390 (the sum of the 6 numbers)

using this equation we find out what x is

so we do 390-30 to find what 6x is, which is 360
because now we know that 6x=360, we divide 360 by 6 to find out what x is
360 divided by 6 =60..... x = 60

so now we know that the smallest integer is 60
to check the answer we could add the 6 numbers which are:
60+62+64+66+68+70=390 :)

so the smallest integer is 60

5 0

3 years ago