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2 years ago

Which one is greater -1.7 or -1

Mathematics

1 answer:

myrzilka [38]2 years ago

4 0

Answer: -1

Step-by-step explanation: -1 is to the right of 1.7 and if anything is to the right is greater (when it is dealing with negative numbers)

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AURORKA [14]

Answer:

$\theta \approx 1.23^\circ$

Step-by-step explanation:

The expression has been given as:

$tan(\theta) = \frac{50}{18}$

Required: Find $\theta$

Simplify the fraction

$tan(\theta) = 2.7778$

Take arc tan of both sides

$\theta = tan^{-1}(2.7778)$

$\theta \approx 1.23^\circ$

8 0

2 years ago

Simplify the difference. (83 + 5 + 7) − (53 + 8 − 6)

Pepsi [2]

95-55 is the simpliest form

6 0

2 years ago

Given that (x+y+z)(xy+xz+yz)=18 and that x^2(y+z)+y^2(x+z)+z^2(x+y)=6 for real numbers x, y, and z, what is the value of xyz?

worty [1.4K]

Answer:

Step-by-step explanation:

$(x+y+z)(xy+xz+yz)=18$ Equation 1

$x^2(y+z)+y^2(x+z)+z^2(x+y)=6$ Equation 2

What is the value of $xyz$ where each variable represents a real number?

Let's expand equation 1:

$(x+y+z)(xy+xz+yz)=18$

$x(xy)+x(xz)+x(yz)+y(xy)+y(xz)+y(yz)+z(xy)+z(xz)+z(yz)=18$

Simplify each term if can:

$x^2y+x^2z+xyz+y^2x+xyz+y^2z+xyz+z^2x+z^2y=18$

See if we can factor a little to get some of the left hand side of equation 2:

The first two terms have $x^2$ and if I factored $x^2$ from first two terms I would have $x^2(y+z)$ which is the first term of left hand side of equation 2.

So let's see what happens if we gather the terms together that have the same variable squared together.

$x^2y+x^2z+y^2x+y^2z+z^2y+z^2x+xyz+xyz+xyz=18$

Factor the variable squared terms out of each binomial pairing:

$x^2(y+z)+y^2(x+z)+z^2(y+x)+xyz+xyz+xyz=18$

Replace the sum of those first three terms with what it equals which is 6 from the equation 2:

$6+xyz+xyz+xyz=18$

Combine like terms:

$6+3xyz=18$

Subtract 6 on both sides:

$3xyz=12$

Divide both sides by 3:

$xyz=4$

4 0

2 years ago

Translate the following into an algebraic expression:

Nata [24]

For this case, the first thing we must do is define variables.

We have then:

x: number of minutes

y: total cost

We write the algebraic expression that models the problem.

We have then:

$y = 10 * (\frac{20}{60}) x$

Simplifying we have:

$y = (\frac{10}{3}) x$

Then, by the time the cost is equal to $ 300 we have:

$300 = (\frac{10}{3}) x$

From here, we clear the value of x.

Answer:

an algebraic expression for the problem is:

$300 = (\frac{10}{3}) x$

3 0

2 years ago

In a random sample survey of 80 students at Torreys middle school, 24 students said that math was their favorite subject. There

ElenaW [278]

Answer:

Step-by-step explanation:

I say 90 because 24 is just a little higher than 1/4 of 80 and since 1/4 of 300 is 75, 90 is the best estimate based off the sample survey. Hope this helps!

8 0

1 year ago