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gtnhenbr [62]
3 years ago
5

The figure shows part of a freeway interchange. The raised freeway is supported by vertical, parallel pillars. Set up a ratio an

d solve to find the length of PQ to the nearest tenth of a yard.

Mathematics
1 answer:
Ugo [173]3 years ago
7 0
We will use ratio and proportion between the inclined sides with its corresponding horizontal bases. Then we could determine for the value of segment AQ.

PA/SB = AQ/BR
32/30 = AQ/24
AQ = 25.6 yd

Since what is asked is segment PQ,
PQ = PA + AQ
PQ = 32 + 25.6
PQ = 57.6 yards
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The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
BabaBlast [244]

Step-by-step explanation:

the introduction of a fraction tells us that we are dealing with multiplications, and therefore a geometric sequence (where every new term is created by multiplying the previous term by a constant factor, the ratio r).

I think your teacher made a mistake, or you made one when typing the question in here.

there is no factor r that creates

15×r = 9

and

9×r = 5/27

it would mean that

15 × r² = 5/27

r² = 5/27 / 15 = 5/27 × 1/15 = 5/405 = 1/81

r = 1/9

but 15 × 1/9 = 5 × 1/3 = 5/3 is NOT 9

and 9 × 1/9 = 9/9 = 1 is NOT 5/27

so, this can't be right.

on the other hand

15 × r = 9

r = 9/15 = 3/5

and then

9 × 3/5 = 27/5

so, either the sequence should have been

15, 5/3, 5/27

or (and I suspect this to be true)

15, 9, 27/5

under that assumption we have

s1 = 15

r = 3/5

sn = sn-1 × r = s1 × r^(n-1) = 15 × (3/5)^(n-1)

s10 = 15 × (3/5)⁹ = 15 × 19683/1953125 =

= 3 × 19683/390625 = 59049/390625 =

= 0.15116544 ≈ 0.151

6 0
2 years ago
What is .22 divided by 88.66​
Nana76 [90]

Answer:

0.00248139

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A music buff wants to estimate the percentage of students at a midwestern university who believe that elvis is still alive. how
gulaghasi [49]
Since we are not given any information about the proportion, we will assume the sample proportion to be 0.50

so,
p = 0.50
The Error is 10% percentage point. This means that on either side of the population proportion the error is 5% so E = 0.05
z = 1.645 (Z value for 90% confidence interval)

The margin of error for population proportion is calculated as:

E=z* \sqrt{ \frac{p(1-p)}{n} }  \\  \\ 
 \frac{E}{z} = \sqrt{ \frac{p(1-p)}{n} }  \\  \\ 
( \frac{E}{z} )^{2}= \frac{p(1-p)}{n} \\  \\ 
n= p(1-p)* (\frac{z}{E})^{2}  \\  \\ 
n=271

This means 271 students should be included in the sample
5 0
3 years ago
A man has 14 coins in his pocket, all of which are dimes and quarters. If the total value of his
S_A_V [24]

Answer:

9 quarters 5 dimes!

Step-by-step explanation:

9x0.25=2.25

5x0.10=0.50

2.25+0.50=2.75

6 0
3 years ago
Which graph represents the function f(x) = |x|? Image for option 1 Image for option 2 Image for option 3 Image for option 4
Lemur [1.5K]

Answer:

The correct option is 4.

Step-by-step explanation:

The given function is,

It is a modulus function and its parent function is,

In a function,

If k>1, then the graph of g(x) stretch vertically and if k<1 then the graph of g(x) compressed vertically.

Since k is , therefore the shoes the vertical compression.

put x=0 in the given function.

Put x=3.

Therefore the graph passing through (0,0) and (3,1).

So the  fourth option is correct.

Hope this helps :)

3 0
3 years ago
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