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My name is Ann [436]
2 years ago
12

A decimal outline is an outline that uses notations such as __________. 1.1, 1.2, and 1.3 I, II, and III A, B, and C a, b, and c

Mathematics
2 answers:
Paladinen [302]2 years ago
5 0
The correct answer is: <span>1.1, 1.2, and 1.3

Explanation:
A decimal outline is an outline that uses notations such as 1.1, 1.2, and 1.3. In decimal outline, the notations have to be numbers, not letters or roman numerals.

Examples of Decimal Outline:
1. 
1.1, 1.2, 1.3...
2. 2.1, 2.2, 2.2...

The other options, however, are either roman numerals or the letters.
Like:
</span><span>Roman numerals: I, II, and III 
Letters: </span><span>A, B, and C; a, b, and c

Hence the correct answer is </span>1.1, 1.2, and 1.3.
denpristay [2]2 years ago
4 0
A decimal outline is an outline that uses notations such as 1.1, 1.2, and 1.3. The second outline is Roman numerals while the third is Letter notation.
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2 years ago
If AD and BD are bisectors of CAB and CBA respectively. Find the sum of angles x and y.
olchik [2.2K]
The picture in the attached figure

step 1
we know that
It is given that AD and BD are bisectors of ∠CAB and ∠CBA respectively.
Therefore,
x = ∠CAB/2 -----> equation 1
y = ∠CBA/2 -----> equation 2

step 2
In triangle ABC,
∠CAB + ∠CBA + ∠ACB = 180° ----> [The sum of all three angles of a triangle is 180°]
∠CAB + ∠CBA + 110° = 180°
∠CAB + ∠CBA = 180° - 110°
∠CAB + ∠CBA = 70° ------> divide by 2 both sides
∠CAB/2 + ∠CBA/2 = 70/2 -------> equation 3
substitute equation 1 and equation 2 in equation 3
x+y=35

hence

the answer is
x+y =35°
⇒ x + y = 35° ...[From equation (1) and (2)]

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2 years ago
Trevor is analyzing a circle, y2 + x2 = 100, and a linear function g(x). Will they intersect?
lakkis [162]
Given a circle described by the equation:
y^2+x^2=100
and a function g(x) given by the table
\begin{center}&#10;\begin{tabular}{ |c |c |c }&#10; x & g(x) \\&#10; -1 & -22 \\&#10; 0 & -20  \\&#10;1 & -18   &#10;\end{tabular}&#10;\end{center}

The function g(x) describes a straight line with the equation:
\frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1}  \\  \\  \frac{y-(-22)}{x-(-1)} = \frac{-20-(-22)}{0-(-1)}  \\  \\ \frac{y+22}{x+1} = \frac{-20+22}{0+1} = \frac{2}{1}  \\  \\ y+22=2(x+1)=2x+2 \\  \\ y=2x-20

To check if the circle and the line intersects, we substitute the equation of the line into the equation of the circle to see if we have a real solution.
i.e.
y^2+x^2=100 \\  \\ (2x-20)^2+x^2=100 \\  \\ 4x^2-80x+400+x^2=100 \\  \\ 5x^2-80x+300=0 \\  \\ x^2-16x+60=0 \\  \\ (x-6)(x-10)=0 \\  \\ x-6=0 \ or \ x-10=0 \\  \\ x=6 \ or \ x=10

When x = 6, y = 2(6) - 20 = 12 - 20 = -8 and when x = 10, y = 2(10) - 20 = 20 - 20 = 0

Therefore, the circle and the line intersect at the points (6, -8) and (10, 0).
8 0
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Read 2 more answers
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Vsevolod [243]

Answer:

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Step-by-step explanation:

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2/0.025=80

So we can conclude that it takes 80 minutes till it reaches 13 feet.

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