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3 years ago

On circle O below, the measure of SV is 120°.

Mathematics

1 answer:

kumpel [21]3 years ago

4 0

<h2>Answer:</h2><h2 />

<em>In this context:</em>

<h2 /><h2> $\boxed{\angle VU=60^{\circ}}$ </h2>

<h2>Explanation:</h2><h2 />

Hello! Remember you have to write complete questions in order to get good and exact answers. Here I'll assume the diagram shown below. Both ∠SV and ∠VU are central angles. This is an angle between two radii in a circle. Another fact we know is that ∠SU measures 180 degrees so it is true that:

$\angle SV + \angle VU=\angle SU \ldots eq1 \\ \\ \\ But: \\ \\ \angle SV=120^{\circ} \\ \\ \angle SU=180^{\circ} \\ \\ \\ Substituting \ into \ eq1: \\ \\ 120^{\circ} + \angle VU=180^{\circ} \\ \\ \\ Isolating \ \angle VU: \\ \\ \angle VU=180^{\circ}-120^{\circ} \\ \\ \boxed{\angle VU=60^{\circ}}$

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Multiply:<br>(x+y)by (x+y)<br>a+b by a^2-b^2<br>(a+5) by (a^2-2a-3)<br>(a^2-ab+b^3) by (a+b)

Law Incorporation [45]

Answer:

Multiply:

$(x+y)by (x+y)$

$: \implies(x + y)(x + y)$

$: \implies \: x(x + y) + y(x + y)$

$: \implies {x}^{2} + xy + xy + {y}^{2}$

$: \implies{x}^{2} + 2xy + {y}^{2}$

Multiply:

$a+b \: by \: a^2-b^2$

$: \implies( {a}^{2} + {b}^{2} ) \times (a + b)$

$: \implies \: {a}^{2} (a + b) - {b}^{2} (a + b)$

$: \implies \: {a}^{3} + {a}^{2} b - {ab}^{2} - {b}^{3}$

Multiply:

$(a+5) by (a^2-2a-3)$

$: \implies{(a + 5) \times ( {a}^{2} - 2a - 3) }$

$: \implies \: a({a}^{2} - 2a - 3) + 5( {a}^{2} - 2a - 3)$

$: \implies(a \times {a}^{2} - a \times 2a - a \times 3) + (5 \times {a}^{2} - 5 \times 2a - 5 \times 3)$

$: \implies{a}^{3} - {2a}^{2} - 3a + 5 {a}^{2} - 10a - 15$

$: \implies{ {a}^{3} + {3a}^{2} - 13a - 15}$

Multiply:

$(a^2-ab+b^3) by (a+b)$

$: \implies{(a + b) \times ( {a}^{2} - ab + {b}^{3} )}$

$: \implies \: a( {a}^{2} - ab + {b}^{3}) + b( {a}^{2} - ab + {b}^{3} )$

$: \implies {a}^{3} - {a}^{2} b + a {b}^{3} + {a^2b} - {ab}^{2} + {b}^{4}$

$: \implies{ {a}^{3}+ab^3 - ab^2+ {b}^{4} }$

Step-by-step explanation:

$\blue{ \frak{Seolle_{aph.rodite}}}$

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2 years ago

For a continuous random variable x, the probability density function f(x) represents

jarptica [38.1K]

Answer:

Option d.

Step-by-step explanation:

we know that

The graph of a continuous probability distribution is a curve. Probability is represented by area under the curve.

The curve is called the probability density function (abbreviated as pdf).

We use the symbol f(x) to represent the curve

therefore

The probability density function f(x) represents . the height of the function at x.

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4 years ago

The graph shows a proportional relationship between the cups of flour a baker uses and the number of cookies made.

algol13

Answer:

Step-by-step explanation:

(0,0)A baker doesn't use any cups of flour so he can't make any cookies

(1,18)A baker uses 1 cup of flour and makes 18 cookies

8 0

3 years ago

Read 2 more answers

What is the value of x in this triangle?

Sedaia [141]

Since it's a right triangle, we can use SOH-CAH-TOA. So tan(x) = opposite/adjacent = 5/20
tan(x) = 1/4 = 0.25
x = arc-tan (0.25) = 14.04°

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3 years ago

What is 8,792 as a fraction?

Wittaler [7]

We have a number $8.792$ .

To write it as a fraction first count the number of decimals and call it $n$ (which, in our case, has a value of 3). Multiply the number with $10^n$ to get $8792$ . Then divide this number by $10^n$ to get $\frac{8792}{10^n}$ from here you can either simplify (if the assignment says so, then the simplified fraction is $\frac{1099}{125}$ ) or not.

Hope this helps.

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4 years ago