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3 years ago

A washer and a dryer cost $917 combined. The washer costs $67 more than the dryer. What is the cost of the dryer?

1 answer:

4 0

917 - 67 = 850 (subtract the difference)
850 / 2 = 425 (divide the cost of the washer/dryer)
425 + 67 = 492 (add the difference)
The dryer costs $492.

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Find the value of the six trig functions given the triangle below.

Y_Kistochka [10]

$\text{Here,}\\\\\text{Opposite side,}~ O = 2\\\\\text{Hypotenuse,}~ H = \sqrt 5 \\\\\text{Adjacent side,}~ A = \sqrt{5-4} = \sqrt 1 =1 ~~ ;[\text{By using Pythagorean theorem}]\\\\\\\sin \theta = \dfrac{O}H = \dfrac 2{\sqrt 5}\\\\\\\cos \theta = \dfrac{A}{H} = \dfrac{1}{\sqrt 5} \\ \\\\ \tan \theta = \dfrac{O}{A} = \dfrac 21 = 2$

$csc \theta = \dfrac{1}{\sin \theta} = \dfrac{\sqrt 5}2\\\\\\\sec \theta = \dfrac{1}{\cos \theta} = \sqrt 5 \\\\\\\cot \theta = \dfrac 1{\tan \theta} = \dfrac 12$

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2 years ago

Which ordered pairs in the form (x, y)(x, y) are solutions to the equation

Scilla [17]

4x - 5y = 24

4(6) - 5(0) = 24
24 - 0 = 24
24 = 24 (correct)....so (6,0) is a solution

4(1) - 5(-4) = 24
4 + 20 = 24
24 = 24 (correct)...and (1,-4) is a solution

3 0

3 years ago

Read 2 more answers

The number e is an irrational number approximately equal to 2.718 between which pair of square roots does e fall

Shkiper50 [21]

Answer:

It falls between √7 and √8

Step-by-step explanation:

Please kindly check the attached file for explanation.

3 0

3 years ago

Find a + b, if b^a = 64 and a^b = 81

jeyben [28]

$\bf \begin{array}{llll}
b^a=64\qquad \boxed{64=4^3}\qquad b^a=4^3
\\\\\\
a^b=81\qquad \boxed{81=3^4}\qquad a^b=3^4
\end{array} \qquad 
\begin{cases}
a=3\\
b=4
\end{cases}
\\\\\\
a+b\implies 3+4$

3 0

2 years ago

Find the value of 4²+6÷2

belka [17]

The answer is: " 19 " .

_____________________

Explanation:

To solve:

_____________________

Given:

" 4² + 6 ÷ 2 " ;

We solve using "PE MD AS" (mnemonic device for order of operations in order of consideration); which stands for:

"Please Excuse My Dear Aunt Sally (or Aunt Susan)" ;

Alternately: "BE MD AS"

" Be Excused My Dear Aunt Sally (or Aunt Susan)" .

"Parentheses {alternative version: "Brackets" ; in which "Parentheses can be considered "Brackets" ; yet in reality, Brackets would come before Parentheses}, then Exponents, then "Multiplication then Division (from left to right as they occur in the problem) , then "Addition then Subtraction (from left to right as they occur in the problem) .

_____________________

As such:

Given: " 4² + 6 ÷ 2 " , we have:

"exponents", "addition" and "division" ;

So we can rewrite the problem as:

" (4²) + (6 ÷ 2) =

(4 * 4) + (3) =

(16) + (3) = 19 .

_______________________

The answer is: " 19 " .

_____________________

7 0

3 years ago