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GrogVix [38]
3 years ago
10

During a softball game, Sara threw 70 pitches. Of those pitches, 29 were strikes. What portion of the pitches that Sara threw we

re stiles? Write your answer as a decimal rounded to the nearest thousandth.
Mathematics
1 answer:
EleoNora [17]3 years ago
5 0
Answer: 0.414


29/70=0.41428571
The thousands place is the third place.
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Write an equation of the hyperbola given that the center is at (2, -3), the vertices are at (2, 3) and (2, - 9), and the foci ar
zavuch27 [327]
Check the picture below.

so, the hyperbola looks like so, clearly a = 6 from the traverse axis, and the "c" distance from the center to a focus has to be from -3±c, as aforementioned above, the tell-tale is that part, therefore, we can see that c = 2√(10).

because the hyperbola opens vertically, the fraction with the positive sign will be the one with the "y" in it, like you see it in the picture, so without further adieu,

\bf \textit{hyperbolas, vertical traverse axis }
\\\\
\cfrac{(y- k)^2}{ a^2}-\cfrac{(x- h)^2}{ b^2}=1
\qquad 
\begin{cases}
center\ ( h, k)\\
vertices\ ( h,  k\pm a)\\
c=\textit{distance from}\\
\qquad \textit{center to foci}\\
\qquad \sqrt{ a ^2 + b ^2}\\
asymptotes\quad  y= k\pm \cfrac{a}{b}(x- h)
\end{cases}\\\\
-------------------------------

\bf \begin{cases}
h=2\\
k=-3\\
a=6\\
c=2\sqrt{10}
\end{cases}\implies \cfrac{[y- (-3)]^2}{ 6^2}-\cfrac{(x- 2)^2}{ b^2}=1
\\\\\\
\cfrac{(y+3)^2}{ 36}-\cfrac{(x- 2)^2}{ b^2}=1
\\\\\\
c^2=a^2+b^2\implies (2\sqrt{10})^2=6^2+b^2\implies 2^2(\sqrt{10})^2=36+b^2
\\\\\\
4(10)=36+b^2\implies 40=36+b^2\implies 4=b^2
\\\\\\
\sqrt{4}=b\implies 2=b\\\\
-------------------------------\\\\
\cfrac{(y+3)^2}{ 36}-\cfrac{(x- 2)^2}{ 2^2}=1\implies \cfrac{(y+3)^2}{ 36}-\cfrac{(x- 2)^2}{ 4}=1

3 0
2 years ago
What is the measure of angle A?
antoniya [11.8K]

Answer:

A = 19.47

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hypotenuse

sin A = 2/6

Take the inverse sin of each side

sin ^-1 ( sin A) = sin ^-1 (2/6)

A =19.47122063

To the nearest hundredth

A = 19.47

3 0
3 years ago
​Dustin wants to buy a new gaming computer that costs $1,005. ​He has saved $487. How much more money does Dustin need to ​buy t
insens350 [35]

Answer: 518

Step-by-step explanation: Just try it

8 0
3 years ago
Read 2 more answers
The surface area of a cube is 96 in.?.<br>What is the volume of the cube?​
salantis [7]

Answer:

64

Step-by-step explanation:

surface area of the cube =96

suppose one side of the cube = a

volume of the cube(V) =?

surface area = 6a^2    

6a^2=96

a ^2 =96/6  

a^2=16  

a = 4

SO

V= a^ 3  

V=64.

brainliest plz :'D

3 0
2 years ago
Read 2 more answers
1. -2x(x+3)-(x+1)(x-2) =
Simora [160]

Answer:

-3x^2 -7x + 2

Step-by-step explanation:

Given

-2x(x + 3) - (x+1)(x - 2)

Required

Solve

Open brackets

-2x^2 -6x - (x^2-2x + x - 2)

-2x^2 -6x - x^2-2x + x + 2

Collect like terms

- x^2-2x^2 -6x -2x + x + 2

-3x^2 -7x + 2

5 0
2 years ago
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