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gtnhenbr [62]
4 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]4 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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(ax + b) × (cx + d) =
Stolb23 [73]
These are easy if you know  " FOIL ".  That's a procedure that takes you through multiplying two binomials.

FOIL stands for
-- <u><em>F</em></u>irst terms
<span>-- </span><u><em>O</em></u>utside terms
<span>--<em> </em></span><u><em>I</em></u>nside terms
<span>--<em> </em><u><em>L</em></u></span>ast terms

and that's how you keep everything straight while you're doing it.

(ax + b) x (cx + d)

Multiply First terms . . . 'ax' times 'cx' =  <em>acx²</em>

Multiply Outside terms . . . 'ax' times 'd'  =  <em>adx</em>

Multiply Inside terms . . .  'b' times 'cx'  =  <em>bcx</em>

Multiply Last terms . . .  'b' times 'd' =  <em>bd</em>

Now addummup:

(ax + b) x (cx + d)  =  <em>acx² + adx + bcx + bd</em>

From there, you can look for opportunities to make it look cleaner and prettier ... factoring, combining like terms, etc.

7 0
4 years ago
Read 2 more answers
(b) What per cent is1/2<br>dozen of one score?<br>​
aleksandr82 [10.1K]

Answer:

1/2 dozen of one score is 30%.

Step-by-step explanation:

As we know that 1 dozen = 12 units.

1/2 dozen = 1/2 times 12=6 units

1 score = 20 units.

By using this conversion, we get

6/2 times 100=30%

So 1/2 dozen of one score is 30%

4 0
3 years ago
Is 7.2 a rational number​
padilas [110]

Step-by-step explanation:

A decimal is a number that represents a fractional part of a whole. For example, the decimal 0.25 represents 25/100. Numbers with decimals are not integers because an integer is defined as a whole number with no fractional part.

6 0
3 years ago
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exis [7]
The correct answer is c
8 0
3 years ago
What is the slope of the line? PLS Help
marin [14]

Answer:

-2/5

Step-by-step explanation:

3 0
3 years ago
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