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3 years ago

Write each decimal in words. 4. 0.8 5. 400.29 6. 0.0306

1 answer:

7 0

Answer: four, zero, eighty five, four hundred and two hundred ninety six hundredth, zero and three hudred and six thousandsths

Step-by-step explanation:

You might be interested in

What is the constant rate of change of the graph below?

timofeeve [1]

Answer:

the constant rate of change is 20

5 0

3 years ago

Find the exact value of csc ø, if cos ø= 1/9; 180° less ø less than 270°

Iteru [2.4K]

Answer:

The answer to your question is: the first option - 9/ $\sqrt{80}$

Step-by-step explanation:

Process

cosФ = adjacent side / hypotenuse

-1/9 = adjacent side / hypotenuse

adjacent side = -1 hypotenuse = 9

c² = a² + b²

b² = c² - a²

b² = 81 - 1

b = $\sqrt{80} \\$ b = opposite side

But b is negative because we are in the third quadrant.

b = - $\sqrt{80}$

Finally csc Ф = hypotenuse / opposite side

csc Ф = - 9 / $\sqrt{80}$

4 0

3 years ago

A bottle contains 1.7 L of water. A second bottle contains 450 mL of water. What is the total number of mL of water in both bott

amm1812

Answer:

2150 mL

Step-by-step explanation:

1L=1000mL - convert

1.7mL=1700mL - convert problem numbers

1700+450mL - addition

2150mL- answer

5 0

3 years ago

PLEASE HELP GUYS i am struggling so much, two questions

ankoles [38]

Answer: the equation of the standard parabola

1) $(y-6)^2 = 4 (x-1)$

The equation of the standard parabola

2) (x+5)^2 = 16(y-2)

Step-by-step explanation:

Explanation

Parabola:-

The set of points in a plane whose distance from a fixed point and a constant ratio to their corresponding perpendicular distance from a fixed straight line is a conic.

Let S be a fixed point and l be a fixed straight line from any point P,the perpendicular PM is drawn to the line 'l'

The locus of P such that $\frac{SP}{PM} = constant$
The fixed point 'S' is called the Focus.
The fixed line'l 'is called the directrix of the conic
The constant ratio is known as the eccentricity, denoted by 'e'
If e=1 , the conic is called a parabola

1) Step 1 :-

Given the focus S = (2,6) and directrix is x=0

we know that $\frac{SP}{PM}=1$

now cross multiplication , we get

$SP = PM$

squaring on both sides,we get

$SP^{2} = PM^2$

step 2:-

now using distance formula is

$\sqrt(((x_{2}-x_{1})^2+(y_{2} -y_{1} )^2)$

Given S =(2,6) and P(x,y) be any point on parabola

$SP^2 = (x-2)^2+(y-6)^2$ ........(1)

Now using perpendicular distance formula

let P(x , y ) be any point on the parabola

$\frac{ax_{1}+by_{1}+c }{\sqrt{a^2+b^2} }$

Given the directrix is x =0 and P(x,y) be any point on parabola

$PM^2 = \frac{x^2}{\sqrt{1}^2 }$ ......(2)

equating equation(1) and equation (2), on simplification

we get $(x-2)^2+(y-6)^2 = x^2$ .....(3)

apply $(a-b)^2 = a^2+ b^2+2 ab$

now the equation (3) is

$(y-6)^2 = 4 x-4$

now the standard form of parabola is

$(y-k)^2 = 4 a(x-h)$

Final answer:-

$(y-6)^2 = 4 (x-1)$

2) Explanation:-

step 1:

Given vertex of a parabola is A(-5,2) and its focus is S(-5,6)

here the given points of 'x'co- ordinates are equal

Therefore the axis AS is parallel to y- axis

now the standard equation of parabola

$(x-h)^2 = 4 a (y-k)$

now you have to find' a' value

Given vertex of a parabola is A(-5,2) and its focus is S(-5,6)

The distance of $AS = \sqrt{(-5-(-5)^2+(2-6)^2}$

on simplification we get a =4

Final answer :-

the vertex (h,k) = (-5,2) and a=4

$(x-h)^2 = 4 a (y-k)$

The standard parabola is $(x+5)^2 = 16 (y-2)$

5 0

3 years ago

Which graph shows a set of ordered pairs that represent a function? Image for option 1 Image for option 2 Image for option 3 Ima

wariber [46]

where's the image

pls provide the full information.

5 0

3 years ago

Read 2 more answers