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SCORPION-xisa [38]
3 years ago
15

Find fractional notation for the infinite sum (these are geometric series) 0.1919191919

Mathematics
1 answer:
Paladinen [302]3 years ago
8 0
Let x = 0.191919...
Now, we want to find some sort of relationship with x and 0.191919...

If we multiply x by 100, we get:
100x = 19.19191919...

Now, it's clear that the decimal places will cancel when we subtract it:
100x - x = 19.19191919... - 0.19191919...
99x = 19

Solving for x, we get:
x = \frac{19}{99}
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Solve each equation for θ, where 0° < θ < 90°. Answer correct to the nearest minute.
Assoli18 [71]

Answer:

Below in bold.

Step-by-step explanation:

sin θ = 4 cos θ

Note that tan θ = sin θ / cos θ so we

Divide both sides by cosθ:

tan θ = 4

θ = 75.96

= 75 degrees 58 minutes.

5 0
3 years ago
Show different ways to make 708.496
Lady bird [3.3K]

Answer:

708.496×1

2×354.248

177.124 ×4

Step-by-step explanation:

Here are 3 ways.

You would divide 708.496 with some numbers and you have different ways.

Hope this helped!

5 0
3 years ago
A waterfall has a height of 900 feet. A pebble is thrown upward from the top of the falls with an initial velocity of 24 feet pe
aliya0001 [1]

Answer:

The pebble will hit the ground 8.29 second after it is thrown.

Step-by-step explanation:

Given that,

The height of the pebble after t seconds is given by the equation

h= -16t²+24 t+900.

When the pebble hit the ground, the height of the pebble will be zero.

So putting h=0 in the given equation.

0 = -16t²+24 t+900

⇒-4(4t²-6t-225)=0

⇒4t²-6t-225=0

Applying quadratic formula t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}, here a=4, b= -6 and c= -225.

\therefore t=\frac{-(-6)\pm\sqrt{(-6)^2-4.4.(-225)}}{2.4}

⇒ t = 8.29, -6.79

Since time can not negative.

∴t=8.29 seconds.

The pebble will hit the ground 8.29 second after it is thrown.

7 0
3 years ago
Are the numbers (2,3)(1,5)(2,7) a function ?
Arturiano [62]

Firstly they are not numbers, they are ordered pairs or points with a form (x,f(x)) yes they probably lie on a function graph but that would be rather impossible to find out. The function may be linear, exponential, logarithmic etc. we can't tell. All we can tell is that if these ordered pairs P_{1,2,3} lie on a function graph P_{1,2,3}\in G_f where G_f=\{(x,f(x)):\forall x\in D_f\wedge f(x)\in T_f\} where D is definition set of function defined x's and T a transformation set of f(x)'s for this function. So yes they may lie on some lambda function but they themselves are nothing but an ordered pairs with no meaningful connection.

Hope this helps.

4 0
3 years ago
Read 2 more answers
Lorie correctly determines that for the triangles below, the statement pg and the statement both describe the relationship betwe
Tasya [4]

Answer:

The correct option is 1.

Step-by-step explanation:

Two triangles are called similar if all the corresponding angles are congruent or all corresponding sides are in same proportion.

In triangle MNO and triangle RTS.

\angle M\cong\angle R=54.4^{\circ}          (Given)

\angle N\cong\angle T=71.2^{\circ}            (Given)

According to the angle sum property, the sum of all interior angles of a triangle is 180 degree. Since two corresponding angles are congruent, therefore third angle is also congruent.

\angle O\cong\angle S=54.4^{\circ}

Since all corresponding angles are congruent, therefore the triangles MNO and RTS similar.

The triangle are congruent by AA rule of similarity. Each triangle has two congruent angles, therefore both triangles are similar. Option 1 is correct.

7 0
3 years ago
Read 2 more answers
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