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3 years ago

What’s the smallest out of 45, -45, and 90

Mathematics

2 answers:

-BARSIC- [3]3 years ago

8 0

Answer:

-45

Step-by-step explanation:

- 45 because 45 and 90 is positive and -45 is negative so the - 45 would be smaller

valkas [14]3 years ago

5 0

Answer:

90 if fractions but -45 anythin else

Step-by-step explanation:

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Write each ratio in its simplest form 8: 10 show working

Sloan [31]

Answer:

Simple solution for that!

4 : 5

Step-by-step explanation:

both 8 and 10 are divided by 2

8 ÷ 2 : 10 ÷2

4 : 5

further can't simplify so 4 : 5 is the answer

8 0

3 years ago

Solve the equation: x^2-16x+126

Sever21 [200]

Answer:

The only possible value for x is 7.

Step-by-step explanation:

Recognize that we are given two different equations for the area, A:

1) A = 63 in^2, and

2) A = x^2 - 16x + 126

These two equations must be equal to each other: A = A

and therefore,

x^2 - 16x + 126 = 63, which becomes x^2 - 16x + 63 = 0 if we subtract 63 from both sides.

Let's solve this using "completing the square." Take half of the coefficient of x (which coefficient is -16), halve it (obtaining -8) and square the result (obtaining 64). Now, between -16x and +63 (see the last equation, above), we write +64 - 64, obtaining:

x^2 - 16x + 64 - 64 + 63, which can be rewritten as:

(x - 8)^2 -1 = 0. Note that this has the form (x - h)^2 + k, and that h is 8 and k is -1. Thus, the associated parabolic graph has its vertex at (h, k), or (8, -1). This graph opens up. Because the vertex is below the x-axis, we know that the graph intersects the x-axis in two places.

Let's find these x values. Rewrite (x - 8)^2 -1 = 0 as (x - 8)^2 = 1. Squaring both sides results in x - 8 = 1, which simplifies to x = 9. This x = 9 is 1 greater than the x-coordinate of the vertex (8). Knowing tht the graph is symmetrical about the vertical line x = 8, we can safely assume that x = 7 is the other solution, as it is 1 unit to the left of x = 8.

Now we must check these possible solutions {7, 9}.

Evaluate the second equation at each 7 and 9 and determine whether the area turns out to be 63 in^2, as it must.

(7)^2 - 16(7) + 126 = 49 + 126 - 112, which in turn is equal to 63. Yes, x = 7 is a possible value for x.

Next: x = 9. (9)^2 - 16(9) + 126 = 81 - 112 + 126 = 95. This does not agree with A = 63 in^2, so we must reject x = 9.

The only possible value for x is 7.

5 0

3 years ago

Someone please help me this is the only question stopping me from graduatin class 2020

Sidana [21]

Answer:

EF = 3.43

Step-by-step explanation:

Sin θ = opposite / hypotenuse

Sin 26 = EF / 4.5

0.762 × 4.5 = EF

EF = 3.43

7 0

3 years ago

Im struggling a bit can someone help me :)

Rasek [7]

Answer:

Step-by-step explanation:

6 0

3 years ago

You are contacted by a phone-in technical support business that is interested in some information about the amount of time their

Gennadij [26K]

Answer:

The average hold time is 10.47 minutes.

Step-by-step explanation:

Let X = time the customers of a phone-in technical support business spend on hold.

The population mean of the random variable X is, μ = 11 minutes.

The population standard deviation of the random variable X is, σ = 1.16 minutes.

A random sample size, n = 62 callers are selected.

According to the Central limit theorem if large samples (n > 30) are selected from an unknown population with mean μ and standard deviation σ then the sampling distribution of sample mean ( $\bar x$ ) follows a Normal distribution.