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Anna [14]
3 years ago
9

Prediction: It rains 2 out of the last 12 days in March. If this trend continues, how many rainy days would you expect in April?

Mathematics
1 answer:
Vladimir79 [104]3 years ago
8 0

Answer:

I would expect rain 5 days

Step-by-step explanation:

Please kindly see the attached files for explanation.

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5 Exam-style ABCD is a kite.
Mnenie [13.5K]

let's recall that in a Kite the diagonals meet each other at 90° angles, Check the picture below, so we're looking for the equation of a line that's perpendicular to BD and that passes through (-1 , 3).

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of BD

y = \stackrel{\stackrel{m}{\downarrow }}{3}x-1\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}

\stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{3\implies \cfrac{3}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{3}}}

so we're really looking for the equation of a line whose slope is -1/3 and passes through point A

(\stackrel{x_1}{-1}~,~\stackrel{y_1}{3})\qquad \qquad \stackrel{slope}{m}\implies -\cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{-\cfrac{1}{3}}[x-\stackrel{x_1}{(-1)}]\implies y-3=-\cfrac{1}{3}(x+1) \\\\\\ y-3=-\cfrac{1}{3}x-\cfrac{1}{3}\implies y=-\cfrac{1}{3}x-\cfrac{1}{3}+3\implies y=-\cfrac{1}{3}x+\cfrac{8}{3}

5 0
3 years ago
The wall, shown above in Figure 105.1401, has an overall length that is 37’ and 8 1/4" . Three receptacle outlets are to be inst
jek_recluse [69]

Answer:

simplier

Step-by-step explanation:

8 0
3 years ago
Find the difference of -12.7 - (-5.6)<br><br> 17.13<br> -7.13<br> -7.1<br> -8.4
SOVA2 [1]

Answer:

-7.1

Step-by-step explanation:

7 0
3 years ago
Solve each equation for the given variable: <br> 4x+6+3=17
Ede4ka [16]
4x+6+3=17\\\\4x+9=17\ \ \ \ |subtract\ 9\ from\ both\ sides\\\\4x=8\ \ \ \ |divide\ both\ sides\ by\ 4\\\\\boxed{\boxed{x=2}}
8 0
3 years ago
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5 more than the product of 23 and a number n
denis-greek [22]

Answer:

23n +5

Step-by-step explanation:

break down the expression into parts

5 more is +5

product is multiplication of 23 and n so 23n

then put it together

please give thanks :)

3 0
3 years ago
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