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soldi70 [24.7K]
3 years ago
6

A 20 foot ladder is lean against a building. The foot of the ladder is 6 feet from the building. Find the

Mathematics
1 answer:
Vilka [71]3 years ago
6 0
Cos(theta) = adjacent/hypotenuse

cos(theta) = 6/20
cos(theta) = 0.3

Use the inverse cos or cos^-1 on your calculator to get the angle

theta = 72.5
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Least common denominator?
Over [174]

Answer:

\large\boxed{(s-2)(s+2)(s-3)=(s^2-4)(s-3)=s^3-3s^2-4s+12}

Step-by-step explanation:

s^2-4=s^2-2^2=(s-2)(s+2)\\\\\text{used}\ a^2-b^2=(a-b)(a+b)\\\\s^2-5s+6=s^2-2s-3s+6=s(s-2)-3(s-2)=(s-2)(s-3)\\\\\text{Therefore}\ LCD(s^2-4,\ s^2-5s+6)=(s-2)(s+2)(s-3)

4 0
3 years ago
X squared minus 7x plus 10 equals 0
joja [24]
X² - 7x + 10 = 0

Let's factor out the equation first.

x² - 7x + 10

x             -2
x             -5

This factoring of (x-2)(x-5) fit the equation.

(x-2)(x-5) = 0

One of the factors must equal 0 as to equal zero.

Either x - 2 = 0 or x - 5 = 0

x - 2 = 0 
x = 2

x - 5 = 0
x = 5

The two answers are x = 2 or x = 5. Hope this helps!
3 0
3 years ago
2. Write a function that models the relationships among x, y, and r. (Hint: Use the Pythagorean theorem.) Then solve the equatio
In-s [12.5K]

Answer:

r^{2} = \sqrt{y^{2} + x^{2} }

Then just plug in the values depending on the bridge you chose I'm pretty sure

also can I get brainliest?

6 0
3 years ago
Which equation represents a circle with a center at (–3, –5) and a radius of 6 units?
Shalnov [3]

Answer:

Step-by-step explanation:

The general equation of the circle is:

(x-h)²+(y-k)²=r²

(h, k)=(-3,-5)  are the coordinates of the center of the circle.

r=6  is the radius

The equation of the circle is:

(x+3)²+(y+5)² = 36

6 0
3 years ago
what is the rate of change and initial value for this graph?
MAXImum [283]

Answer:

4/7

Step-by-step explanation:

the rate of change (aka slope) is the change in y over change in x and as y goes up 4 x goes up 7 so the rate of change is 4/7

have a great day :D

8 0
3 years ago
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