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3 years ago

Help asap plssssss, brainliest given!!

Mathematics

1 answer:

artcher [175]3 years ago

3 0

Answer:

y= 1500x = 29690

y=# of movie screens

x= years after 1996

Step-by-step explanation:

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Help Number three please!!!

Lubov Fominskaja [6]

Step-by-step explanation:

108-ambulance

100- police

1098-child laber

5 0

3 years ago

One plane can travel 30 miles per hour faster than another. one of them goes 185 miles in the same time it takes the other to go

ycow [4]

Plane #1 speed: x mph
Plane #2 speed: (x+30) mph

time = time becomes

170 mi 185 mi
---------- = --------------
x x+30

Solving for x, the speed of the slower plane, we get

170x + 5100 = 185 x
5100
Then 15x = 5100, and x = ---------- (mi/hr) = 340 mph
15

The slower plane flies at 340 mph, and the faster one at 370 mph.

6 0

3 years ago

the figure below shows a circle centre of radius 10 cm the chord PQ=16cm calculate the area of the shaded region

m_a_m_a [10]

Step-by-step explanation:

OPQ originally forms a sector, the formula for sector is

$\frac{x}{360} \pi {r}^{2}$

where x is the degrees of rotation between the two radii.

We know three sides length and is trying to find an angle between the radii so we can use law of cosines which states that

$16 = \sqrt{10 {}^{2} + 10 {}^{2} - 2(100) \times \cos(o) }$

This isn't the standard formula, it's for this problem

$16 = \sqrt{200 - 200 \times \cos(o) }$

$16 = \sqrt{200 - 200 \cos(o) }$

$256 = 200 - 200 \cos(o)$

$56 = - 200 \cos(o)$

$- \frac{7}{25} = \cos(o)$

$\cos {}^{ - 1} ( - \frac{7}{25} ) = \cos {}^{ - 1} ( \cos(o) )$

$106.26 = o$

So we found our angle of rotation, which is 106.26

Now, we do the sector formula.

$\frac{106.26}{360} (100)\pi$

$\frac{10626}{360} \pi$

is the area of sector.

Now let find the area of triangle, we can use Heron formula,

The area of a triangle is

$\sqrt{s(s - a)(s - b)(s - c)}$

where s is the semi-perimeter.

To find s, add all the side lengths up, 10,10,16 and divide it by 2.

Which is

$\frac{36}{2} = 18$

$\sqrt{18(18 - 10)(18 - 10)(18 - 16)}$

$\sqrt{18(8)(8)(2)}$

$\sqrt{(36)(64)}$

$6 \times 8 = 48$

So our area of the triangle is 48. Now, to find the shaded area subtract the main area,( the sector of the circle) by the area of the triangle so we get

$\frac{10626}{360} - 48$

Which is an approximate or

44.73

6 0

2 years ago

What is the measure of

nika2105 [10]

Answer:

Your answer is going to be D

Step-by-step explanation:

Add 100° with 30° and subtract that sum from 180°.

7 0

3 years ago

I need help with this problem

nataly862011 [7]

Kelly traveled 50 miles with 20 gallons, 50/20 = 2.5 miles per gallon

Andy traveled 78.75 miles with 15 gallons, 78.75 / 15 = 5.25 miles per gallon

Rick traveled at 4.8 gallons per mile

Andy traveled furthest.

3 0

3 years ago