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2 years ago

Find mPRT. P 649U 42° R s

Mathematics

1 answer:

Mkey [24]2 years ago

3 0

Answer: 296 degrees

Step-by-step explanation:

Arc PRT is just the entire circumference - arc PT.

Since the 64 degree angle is a central angle, arc PT measures 64 degrees.

So arc PRT = 360 degree - 64 degree = 296 degrees.

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Plsssssssssssssss help with 11

alina1380 [7]

Answer:

1 = $3.50

( I tried my best)

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2 years ago

Rachel was an 85 average after four test. what does she need to earn on the next test if she wants to raise her average to exact

irakobra [83]

she took four tests with one more to take totals 5 tests

88 x 5 = 440

all her tests need to equal at least 440 to get an 88 average

since she has 85 average after 4, 85*4 = 340, so her 4 tests so far have equaled 340

440-340 = 100

she will need to get a 100 on her 5th test to have an 88 average

4 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

Write and solve a proportion to answer the question.

insens350 [35]

Answer:

48%

Step-by-step explanation:

$\dfrac{12}{25}=\dfrac{p}{100}\\\\100\cdot\dfrac{12}{25}=p\\\\48=p$

12 is 48% of 25.

4 0

2 years ago

initial population of a town is 3400 and it grows with a doubling time of 10 years what will the population be in 8 years

Talja [164]

So in 10 years, the population will double.

8 years is just before doubling to 6800.

If you consider 10 years to be 100% of the doubling time, 8 years is 80%.

And 80 as a decimal is 80/100 = 0.8

So the answer is 0.8 * 6800, simplify.

6 0

3 years ago