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4 years ago

A 12-ft. ladder is leaning against a wall and makes a 77 angle with the ground. How high does the ladder reach up the wall?

Mathematics

1 answer:

Gemiola [76]4 years ago

3 0

Problem explained in image i attached below

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In the figure at right, it is given than BDC is straight, BD = DA, and AB = AC = DC. Find the size of angle C

Ilya [14]

You need to use the angle sum of a triangle in triangle CAD to express y in term of x
for triangla CAD , y = (180 -x) /2
180 = 3x + [ (180-x)/2]

x = 36

hope this helps

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3 years ago

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Write the equation of the line in Point-Slope Form

katrin [286]

17.

The point-slope form:

$y-y_1=m(x-x_1)$

We have slope=m=8, and the point (-5, -3). Substitute:

$y-(-3)=8(x-(-5))\\\\\boxed{y+3=8(x+5)}$

18.

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (3, 4) and (15, 10). Substitute:

$m=\dfrac{10-4}{15-3}=\dfrac{6}{12}=\dfrac{1}{2}$

The point-slope form:

$\boxed{y-4=\dfrac{1}{2}(x-3)}$

$\boxed{y-10=\dfrac{1}{2}(x-15)}$

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3 years ago

Katie is shopping for soccer shoes on-line. Her favorite store charges shipping as 3% of the purchase price, with a minimum ship

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71/9 converted to a mixed mumber

adell [148]

$\frac{71}{9} =\frac{63 + 8}{9} = \frac{63}{9} + \frac{8}{9} = 7 + \frac{8}{9}\\\\= \boxed{\bf{7\frac{8}{9}}}$

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3 years ago

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Help please and thank you

rjkz [21]

All you need to do is that Step-by-step explanation:

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