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shusha [124]
4 years ago
7

a ladder is leaning against the side of a house. the base of the ladder is 5 feet from the wall, and makes an angle of 39 degree

s with the ground. find the length of the ladder.
Mathematics
1 answer:
anygoal [31]4 years ago
6 0
5/x=cos 39
x/5=1/ cos 39=sec 39
x=5 sec 39
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Solve each given equation and show your work. Tell weather each equation has one solution, an infinite number of solutions, or n
galben [10]

Hello!

To solve algebraic equations, you need to SADMEP it. SADMEP is only used to solve these equations, and it is an acronym for subtraction, addition, division, multiplication, exponents, and parentheses. The goal here is to get x on one side of the equation.

(a) 4x + 2(x - 1) = 10 + 2x (use the distributive property)

4x + 2x - 2 = 10 + 2x (add alike terms)

6x - 2 = 10 + 2x (subtract 2x from both sides)

4x - 2 = 10 (add 2 to both sides)

4x = 12 (divide both sides by 4)

x = 3

This equation has one solution because if you <u>substitute 3 for x into the original equation</u>, then <u>both sides of the equation will be equal</u>.

(b) 30 - x = 10 + -1(6x + 10) (use the distributive property)

30 - x = 10 + -6x - 10 (simplify)

30 - x = -6x (add x to both sides)

30 = -5x (divide both sides by -5)

x = -6

This equation has one solution because if you <u>substitute x = -6</u> into the given equation, then the <u>left and right side of the equation will be equivalent</u> to each other.

(c) 8x = 4x + 4x + 10(x - x) (simplify - add and subtract)

8x = 8x + 10(0) (multiply)

8x = 8x

This equation has an infinite number of solutions because if you <u>substitute any number</u> into the given equation, <u>both sides of the equation will be equal</u>.

5 0
3 years ago
Let f(x) =4x-1 and g(x) = 2x^2 + 3 (fg)(x) , f/g(x), g/f(x)
sveta [45]
F(x) = 4x - 1
g(x) - 2x² + 3

<u>(f · g)(x)</u>
(f · g)(x) = (4x - 1)(2x² + 3)
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(f · g)(x) = 4x(2x²) + 4x(3) - 1(2x²) - 1(3)
(f · g)(x) = 8x³ + 12x - 2x² - 3

<u>(f/g)(x)</u>
(f/g)(x) = <u>4x - 1</u>
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<u>(g/f)(x)</u>
(g/f)(x) = <u>2x² + 3</u>
               4x - 1
(g/f)(x)= ¹/₂x + ¹/₈ + <u> 3¹/₈ </u>
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6 0
4 years ago
5 whole 1/2 times 2 whole 1/4 =?
diamong [38]

Answer:

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Step-by-step explanation:

7 0
3 years ago
Which of the vectors below is the sum of vectors a and b, shown here?
Fofino [41]

Answer:

Option C

Step-by-step explanation:

To answer this question you must use the parallelogram method shown in the attached image.

To answer this question, use the parallelogram method as shown in the attached image.

-Place the vectors a and b at the same point of origin.

-On the tip of the vector b draws a vector a.

-On the tip of vector a to draw a vector b.

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The vector "f" represents the sum of the vector a with the vector b.

The correct option is C


7 0
4 years ago
on a map, the scale shown is 1 inch : 5 miles. if an island is 2.5 square inches on the map, what is the actual are of the islan
Assoli18 [71]

Answer:

1 in^2 = 5 mi * 5 mi = 25 mi^2

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Step-by-step explanation:

3 0
3 years ago
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