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Agata [3.3K]
3 years ago
13

)) Two window washers, Hector and Michael, lean a ladder against the side of a building so

Mathematics
2 answers:
Anika [276]3 years ago
8 0

Answer: Seems like it would depend on your base. Can you pull the ladder away from the window and let it go and it drops back to the original position? I would prefer an extension ladder with a set off just below the frame so that I can reach both panes without the ladder blocking me. If the extension ladder won’t reach I would use the WFP (and might use that anyway).

ArbitrLikvidat [17]3 years ago
6 0
<h3>Answer:  15 ft</h3>

===================================================

Work Shown:

Refer to the diagram below.

a = 12 and b = 9 are the legs of the right triangle

c = unknown hypotenuse, which is the length of the ladder.

Use the Pythagorean theorem to solve for c

a^2+b^2 = c^2

12^2+9^2 = c^2

144+81 = c^2

225 = c^2

c^2 = 225

c = sqrt(225)

c = 15

The ladder is 15 feet long.

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Find the value of x if the points (x,5) and (3,7) lie on the line whose slope is 4/7
muminat

Answer:

x = -4

Step-by-step explanation:

Write and solve an equation in which the slope from the definition of slope is on the left side and the given slope, 4/7, is on the right side:

        7 - 5          4

m = ---------- = --------

         3 - x         7

Simplifying with the aim to find the value of x:

2(7) = 4(3 - x), or 7 = 3 - x.  Then x = -4.

6 0
3 years ago
I need the measurement of each angle (please show work)
aliya0001 [1]

Answer:

∠E = ∠F = 41°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 given angles and equate to 180

x + x + 98 = 180 ( subtract 98 from both sides )

2x = 82 ( divide both sides by 2 )

x = 41

Hence

∠E = ∠F = 41°

3 0
3 years ago
Find the equation of the sphere centered at (-9,9, -9) with radius 5. Normalize your equations so that the coefficient of x2 is
olganol [36]
<h2><u>Answer</u>:</h2>

(a) x² + y² + z² + 18(x - y + z) + 218 = 0

(b) (x + 9)² + (y - 9)² + 56 = 0

<h2><u>Step-by-step explanation:</u></h2>

<em>The general equation of a sphere of radius r and centered at C = (x₀, y₀, z₀) is given by;</em>

(x - x₀)² + (y - y₀)² + (z - z₀)² = r²               ------------------(i)

<em>From the question:</em>

The sphere is centered at C = (x₀, y₀, z₀) = (-9, 9, -9) and has a radius r = 5.

<em>Therefore, to get the equation of the sphere, substitute these values into equation (i) as follows;</em>

(x - (-9))² + (y - 9)² + (z - (-9))² = 5²

(x + 9)² + (y - 9)² + (z + 9)² = 25      ------------------(ii)

<em>Open the brackets and have the following:</em>

(x + 9)² + (y - 9)² + (z + 9)² = 25

(x² + 18x + 81) + (y² - 18y + 81) + (z² + 18z + 81) = 25

x² + 18x + 81 + y² - 18y + 81 + z² + 18z + 81 = 25

x² + y² + z² + 18(x - y + z) + 243 = 25

x² + y² + z² + 18(x - y + z) + 218 = 0    [<em>equation has already been normalized since the coefficient of x² is 1</em>]

<em>Therefore, the equation of the sphere centered at (-9,9, -9) with radius 5 is:</em>

x² + y² + z² + 18(x - y + z) + 218 = 0

(2)  To get the equation when the sphere intersects a plane z = 0, we substitute z = 0 in equation (ii) as follows;

(x + 9)² + (y - 9)² + (0 + 9)² = 25

(x + 9)² + (y - 9)² + (9)² = 25

(x + 9)² + (y - 9)² + 81 = 25        [<em>subtract 25 from both sides</em>]

(x + 9)² + (y - 9)² + 81 - 25 = 25 - 25

(x + 9)² + (y - 9)² + 56 = 0

The equation is therefore, (x + 9)² + (y - 9)² + 56 = 0

6 0
3 years ago
Please help, thank you!
geniusboy [140]

Answer:

Es que te ayude amigo medas corona por favor plis

4 0
3 years ago
Manny, Levi, and Drew have coin collections. Manny has as many coins as Levi has. Drew has as many coins as Manny.
aev [14]
The answer is A because all three of them have the same amount of coins

5 0
3 years ago
Read 2 more answers
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