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3 years ago

A portion of a hiking trail slopes upward at about a 6° angle. To the nearest

Mathematics

1 answer:

DedPeter [7]3 years ago

8 0

Answer:

12.6 feet

Step-by-step explanation:

we know that

The formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)

The slope is also the tangent of the angle of the opposite side (rise) divided by the adjacent side (run)

In this problem

we have

$m=tan(6^o)$

$run=120\ ft$

$rise=?$

substitute

$tan(6^o)=\frac{rise}{120}$

$rise=tan(6^o)(120)=12.6\ ft$

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Kinda easy math problems

skad [1K]

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2. {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}

3. {B1, B2, B3, R1, R2, R3, R4, R5, R6, R7, R8, G1, G2, G3, G4, Y1, Y2, Y3, Y4, Y5, Y6, Y7}
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4. {TT, TH, HT, HH}
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Explanation:
sample space is all possible outcomes

5 0

3 years ago

Complete the equation of the line through (-6, -5) and (-4, -4). Use exact numbers

77julia77 [94]

In general the equation through (a,b) and (c,d) is

$(y-b)(c-a)=(x-a)(d-b)$

Can you see that this is a line and that both (a,b) and (c,d) are on it?

Here we're given (a,b)=(-6,-5) and (c,d)=(-4,-4)

$(y- -5)(-4 - -6) = (x - -6)(-4 - 5)$

$2(y+5)=x+6$

$2y + 10 = x + 6$

$x - 2y = 4$

$y = \frac 1 2 x - 2$

Either of the last two are fine answers.

3 0

3 years ago

A triangle has side lengths of (8.5q+1.6r)(8.5q+1.6r) centimeters, (3.5q-4.1s)(3.5q−4.1s) centimeters, and (4.4s+5.8r)(4.4s+5.8r

miv72 [106K]

Answer:

7.4r+0.3s+12q

Step-by-step explanation:

I am in 8th grade and we do these problems for honors algebra and if you add (8.5q+1.6r)+(3.5q-4.1s)+(4.4s+5.8r) you will get the answer above

4 0

3 years ago

An irregular polygon is shown below:

elena-14-01-66 [18.8K]

4*2=8, 4-2=2, 2*9=18, 18+8= 26
26 is the answer

6 0

3 years ago

Read 2 more answers

A clairinet case is shaped like a rectangular prisim the case is 8 inches tall 3 inches wide and has a volume of 312 cubic inche

diamong [38]

Answer:

13 inches

Step-by-step explanation:

A clarinet case is shaped like a rectangular prism the case is 8 inches tall 3 inches wide and has a volume of 312 cubic inches what is the length of the clarinet case

The volume of a rectangular prism = Length × Width × Height

Length of the rectangular prism = Volume/ Width × Height

= 312 in³/ 3 in × 8 in

= 312 in³/24 in²

= 13 in

Length = 13 inches

8 0

3 years ago