Can someone please help with these question

Mathematics

1 answer:

GalinKa [24]3 years ago

7 0

Answer:

1) 81.64 ft 2) 12.56 in

Step-by-step explanation:

a radius is a line halfway through the circle starting in the middle... a diameter is double that, or a line that goes all the way through the circle

you are working with diameter

in order to find the circumference of a circle using diameter, the equation is

C (circumference) = pi x d (diameter)

in order to find the circumference of a circle using radius, the equation is

C = 2 x pi x R (radius)

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Use A as the subject of formula p= A ( 1+r\100)

ZanzabumX [31]

Answer:

$A = \frac{100 P}{100+r}$

Step-by-step explanation:

Given $P = A( 1 + \frac{r}{100} )$

To make A as the subject of the formula we need to rearrange

Divide by $(1 +\frac{r}{100})$ throughout we get

$\frac{P}{1+\frac{r}{100}} = A$

$A = \frac{100P}{100 + r}$

4 0

4 years ago

Need help with problem #53! Arithmetic sequences!

ankoles [38]

When counting any sequence, it helps to have a simpler sequence to compare it to. The simplest one that I can think of is

$1,2,3,4,5,\dots$

because you instantly can tell the number of terms in the sequence by looking at the last number. We can see from the graph that the first few terms of the sequence a are 1, -3, -7, and we're told that its last term is -83. Our goal then is to turn this sequence:

$1,-3,-7,\dots,-83$

into this one:

$1,2,3,\dots$

The first thing which stands out in this sequence is the number of negative terms, so let's fix that by multiplying every term by -1:

$1,-3,-7,\dots,-83\xrightarrow{\times{-1}}-1,3,7,\dots,83$

Now, the main property of any arithmetic sequence is that they increase or decrease by some constant amount. Here, that number is 4, since -3 = 1 - 4 and -7 = -3 - 4. Knowing the importance of 4 in this sequence, our next step might be to turn every term into a multiple of 4 by adding 1:

$-1,3,7,\dots,83\xrightarrow{+1}0,4,8,\dots,84$