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3 years ago

What is the value of x?

Mathematics

1 answer:

natta225 [31]3 years ago

8 0

Answer:

x=131

Step-by-step explanation:

55 + 76 + x = 180

131 + x = 180

x = 49

subtract 49 from 180 to get x

180 - 49 = 131

*so um note that x should be greater than 90 degrees bc x is obvi an obtuse angle

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By adding two positives together, or a big positive number with a small negative number.

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3 years ago

A village fete has a children’s running race each year, run in heats of up to ten children. For each heat the first three contes

bekas [8.4K]

Answer: 1) 1/3,654 2) 3/406 3) 72,684,900,288,000 4) 120

Step-by-step explanation:

1) First and Second and Third

$\dfrac{3\ total\ prizes}{29\ total\ people}\times \dfrac{2\ remaining\ prizes}{28\ remaining\ people}\times \dfrac{1\ remaining\ prize}{27\ remaining\ people}=\dfrac{6}{21,924}\\\\\\.\qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \quad =\large\boxed{\dfrac{1}{3,654}}$

2) First and Second

$\dfrac{3\ total\ prizes}{29\ total\ people}\times \dfrac{2\ remaining\ prizes}{28\ remaining\ people}=\dfrac{6}{812}=\large\boxed{\dfrac{13}{406}}$

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3 years ago

Could you please help with this question for domain, range, and end behavior? I started it, but I think I'm doing it wrong.

Tanzania [10]

It looks like you have the domain confused for the range! You can think of the domain as the set of all "inputs" for a function (all of the x values which are allowed). In the given function, we have no explicit restrictions on the domain, and no situations like division by 0 or taking the square root of a negative number that would otherwise put limits on it, so our domain would simply be the set of all real numbers, R. Inequality notation doesn't really use ∞, so you could just put an R to represent the set. In set notation, we'd write

$\{x\in\re\mathbb{R}\}$

and in interval notation,

$(-\infty,\infty)$

The range, on the other hand, is the set of all possible outputs of a function - here, it's the set of all values f(x) can be. In the case of quadratic equations (equations with an x² term), there will always be some minimum or maximum value limiting the range. Here, we see on the graph that the maximum value for f(x) is 3. The range of the function then includes all values less than or equal to 3. As in inequality, we can say that

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in set notation:

$\{f(x)\in\mathbb{R}\ |\ f(x)\leq3\}$

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and in interval notation:

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3 years ago

A rectangle with an area of 192 square meters has a length and width in a ratio of 3:1. What are the length and width?

yuradex [85]

Hey there! :)

Answer:

Length = 24 meters.

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Step-by-step explanation:

Recall that to find the area of a rectangle, the formula is as shown:

A = l × w

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Let w = width, and

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Square root both sides:

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3 years ago

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3 years ago