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maks197457 [2]
3 years ago
5

A homeowner leans a ladder against his house so that the top of the ladder makes a 31 degree angle with the house. What angle do

es the bottom of the ladder make with the ground? help! asap

Mathematics
1 answer:
Lesechka [4]3 years ago
7 0
If you put an imaginary line from the base of the ladder to the wall it would from a right angled triangle. The internal angles of a triangle all add up to 180degrees. With a right angled triangle, we know for sure one angle is going to be 90 degrees. One angle as you said is 31 degrees so you just add 31 and 90 which is equal to 121 then subtract it by that. SO:
180-(31+90)
180-121=59 degrees
or even easier
90-31= 59

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There are many cylinders with a height of 9 inches. Let r represent the radius in
mylen [45]

Answer:

Step-by-step explanation:

V, r, h are the volume, radius, and height, respectively.

V = πr²h = 9πr²

The only error in your previous answers was that you forgot the π.

if r = 1, V = 9π1² = 9π ≅ 28 in³

if r = 2, V = 9π2² = 36π ≅ 113 in³

if r = 3, V = 9π3² = 81π ≅ 254 in³

8 0
3 years ago
The perimeter of Dawna's new flat screen television is 112 inches. The ratio of its length to width is 4:3. Wire and solve an al
Dmitry_Shevchenko [17]
Hey there,
Length = 4x
Width = 3x
Perimeter = 112 inches
4x + 3x + 4x + 3x = 112 inches
14x = 112 inches
x = 112 inches / 14
   = 8 inches
Length = 8 inches x 4
            = 32 inches
Width = 8 inches x 3
          = 24 inches

 Hope this helps :))

<em>~Top♥</em>
5 0
3 years ago
Read 2 more answers
If x varies directly with y and x = 3.5 when y = 14, find x when y = 18.
maks197457 [2]

Answer:

x = 4.5

Step-by-step explanation:

there's definitely other ways to solve this, but I used a proportion.

\frac{3.5}{x} = \frac{14}{18}

Then you can make this equation:

14x = 3.5 * 18

I solved for it and got 4.5 .

5 0
3 years ago
Guys please help i’m blanking!!!<br> Select all the functions whose graphs include the point (16,4)
Gnom [1K]
D and E —> substitute the x or y of the point given into the functions to test if it is correct
5 0
3 years ago
Find all real solutions of the equation. (if there is no real solution, enter no real solution.) 35x2 12x − 36
solmaris [256]
Important:  35x2 12x − 36 is not an equation; to obtain an equation, you must set <span>35x2 12x − 36 = to 0:

</span><span>35x^2 + 12x − 36 = 0.  Also, "the square of x" must be represented by "x^2," and you must insert either the + or the - sign in front of the term 12x.

I am assuming that you meant   </span>35x^2 + 12x − 36 = 0.

If that is indeed the case, then a = 35, b = 12 and c = -36

and the discriminant is b^2 - 4ac, or (12)^2 - 4(35)(-36) = 5184.

Since the discriminant is positive, this equation has 2 real, unequal solutions.  They are
        -12 plus or minus sqrt(5184)
x = -----------------------------------------
                         2(35)
7 0
3 years ago
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