A number is divided by 1/4.Write an expression for this situation.

Mathematics

2 answers:

UNO [17]3 years ago

8 0

Answer:

x ÷ 1/4

Step-by-step explanation:

Concepts:

An expression a mathematical sentence that has at least two numbers and a minimum of one math operation (addition, subtraction, etc.) in it. An expression cannot have an = sign in it.
A variable is an unknown, numerical value in an equation, often represented by the letter x.

Solving:

Let's translate the first part of the expression:

1. "A number"

Since we're unaware of the number in this expression, we can mark it as a variable, x.
This means that, so far for our expression, we only have the variable, "x".

2. "divided by 1/4"

When we're dividing, we use the ÷ symbol to represent that operation.

Now, let's put the first part of our expression with the second one: "x ÷ 1/4"

Therefore, the expression for this situation is x ÷ 1/4.

Rzqust [24]3 years ago

3 0

N divide by 1/4
A number is any alphabetical letter divided by the digit that they have to you.

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Read 2 more answers

Suppose that θ is an acute angle of a right triangle and that sec(θ)=52. Find cos(θ) and csc(θ).

insens350 [35]

Answer:

$\cos{\theta} = \dfrac{1}{52}$

$\csc{\theta} = \dfrac{52}{\sqrt{2703}}$

Step-by-step explanation:

To solve this question we're going to use trigonometric identities and good ol' Pythagoras theorem.

a) Firstly, sec(θ)=52. we're gonna convert this to cos(θ) using:

$\sec{\theta} = \dfrac{1}{\cos{\theta}}$

we can substitute the value of sec(θ) in this equation:

$52 = \dfrac{1}{\cos{\theta}}$

and solve for for cos(θ)

$\cos{\theta} = \dfrac{1}{52}$

side note: just to confirm we can find the value of θ and verify that is indeed an acute angle by $\theta = \arccos{\left(\dfrac{1}{52}\right)} = 88.8^\circ$