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maks197457 [2]
3 years ago
8

 How long must a ladder be to reach to top of a 20 foot wallif the ladder and the top wall form a 32 degree angle at the top. Ro

und to 2 decimal places .

Mathematics
1 answer:
seraphim [82]3 years ago
3 0
Check the picture  below.

make sure your calculator is in Degree mode.

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Solve the system: <br> 2/x - 3/y =-5; 4/x + 6\y =14
sertanlavr [38]

The solution is x = 2 \text{ and } y = \frac{1}{2}

<em><u>Solution:</u></em>

Let us assume,

a = \frac{1}{x}\\\\b = \frac{1}{y}

<em><u>Given system of equations are:</u></em>

\frac{2}{x} - \frac{3}{y} = -5

\frac{4}{x} + \frac{6}{y} = 14

<em><u>Rewrite the equation using "a" and "b"</u></em>

2a - 3b = -5 ------------ eqn 1

4a + 6b = 14 -------------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

<em><u>Multiply eqn 1 by 2</u></em>

2(2a - 3b = -5)

4a - 6b = -10 ------------- eqn 3

<em><u>Add eqn 2 and eqn 3</u></em>

4a + 6b = 14

4a - 6b = -10

( - ) --------------------

8a = 4

a = \frac{4}{8}\\\\a = \frac{1}{2}

Substitute a = 1/2 in eqn 1

2(\frac{1}{2}) -3b = -5\\\\1 - 3b = -5\\\\3b = 6\\\\b = 2

Now let us go back to our assumed values

Substitute a = 1/2 in assumed values

a = \frac{1}{x}\\\\\frac{1}{2} = \frac{1}{x}\\\\x = 2

Substitute b = 2 in assumed value

b = \frac{1}{y}\\\\2 = \frac{1}{y}\\\\y = \frac{1}{2}

Thus the solution is x = 2 \text{ and } y = \frac{1}{2}

3 0
3 years ago
Evaluate 3z when z=9
zepelin [54]

Answer:

27

Step-by-step explanation:

given value of Z=9

so, 3×9=27

3 0
3 years ago
Carl has 3 1/2 cups of blueberries. He is storing them in containers that each hold 2/3 cup. How many containers can he fill? Fi
aivan3 [116]

Answer:

The total number of containers than can be filled  = 5\frac{11}{50}

Step-by-step explanation:

The amount of blueberries Carl has  = 3 1/2 cups

Now, 3\frac{1}{2}  = 3 + \frac{1}{2} = 3 + 0.5  = 3.5

⇒The amount of blueberries Carl has = 3. 5 cups

Also,the amount of blueberries each container can store  = 2/3 cups

Now, \frac{2}{3}   = 0.67

⇒The amount of blueberries each container can store = 0.67 cups

So, \textrm{Total cpus that can be filled by blueberries}  = \frac{\textrm{Toaal amount of blueberries to be stored}}{\textrm{Bluebeeries stored in 1 cup}}

= \frac{3.5 cup}{0.67 cup}  = 5.22

Now,5.22 = 5 + 0.22 = 5 + \frac{22}{100} = 5 + \frac{11}{50}    = 5 \frac{11}{50}

Hence, the total number of cups than cen be filled with the blue berries = 5 11/50

⇒ Blueberries can fill 5 full cups and 11/50th of the 6th cup.

3 0
4 years ago
PKEASE HELP Based on the graph, what is one solution of the equation f(x) = g(x)? graph of function f of x equals negative x plu
Oksanka [162]

Answer:

x=1

x=-5

Step-by-step explanation:

we know that

The solution of the system of equations is the intersection point both graphs

In this problem there are two intersection points

so

The system has two solutions

we have

one solution is the point (-4.9, 5.4) and the other (0.92, -0.42)

see the attached figure

therefore

x=1

x=-5

Step-by-step explanation:

8 0
3 years ago
A word problem/story with 12x/-2 = 48 as an equation!!
Svetlanka [38]

Answer:

<u><em>Answer is below</em></u>

Step-by-step explanation:

<u><em>Multiply both sides by -2.</em></u>

<u><em /></u>12x/-2=48\\(12x-2)(-2)=(48)(-2)\\12x=-96

<em><u>Divide both sides by 12.</u></em>

<em><u /></em>\frac{12x}{12}=\frac{-96}{12}\\ x=-8

5 0
3 years ago
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