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3 years ago

Divide. −8 3/4÷2 1/6

Mathematics

2 answers:

ioda3 years ago

8 0

Decimal: -4.038

Fraction from: -4 1/26

plzz mark brainiest

Lapatulllka [165]3 years ago

5 0

-4 1/26
hope this helps

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1+sinx+cosx/1+sinx-cosx=1+cosx/sinx help pls by proving

Monica [59]

Answer:

Below.

Step-by-step explanation:

I'll write sin x as s and cos x as c so we have:

(1 + s +c)/(1 + s - c) = (1 + c)/s

Cross multiplying:

s + s^2 + cs = 1 + s - c + c + cs - c^2

s + s^2 + cs = 1 + s + cs - c^2

s^2 + c^2 + s - s + cs - cs = 1

s^2 + c^2 = 1.

- that is sin^2 x + cos^2 x = 1 which is a known identity.

Therefore the original identity is proved.

6 0

2 years ago

A ball is thrown into the air. The path it takes is modeled by the equation: -3t+24t = h, where t is the time in seconds and h i

astra-53 [7]

Given:

The given equation is:

$-3t^2+24t=h$

Where, t is the time in seconds and h is the height of the ball above the ground, measured in feet.

To find:

The inequality to model when the height of the ball is at least 36 feet above the ground. Then find time taken by ball to reach at or above 36 feet.

Solution:

We have,

$-3t^2+24t=h$

The height of the ball is at least 36 feet above the ground. It means $h\geq 36$ .

$-3t^2+24t\geq 36$

$-3t^2+24t-36\geq 0$

$-3(t^2-8t+12)\geq 0$

Splitting the middle term, we get

$-3(t^2-6t-2t+12)\geq 0$

$-3(t(t-6)-2(t-6))\geq 0$

$-3(t-2)(t-6)\geq 0$

The critical points are:

$-3(t-2)(t-6)=0$

$t=2,6$

These two points divide the number line in 3 intervals $(-\infty,2),(2,6),(6,\infty)$ .

Intervals Check point $-3(t-2)(t-6)\geq 0$ Result

$(-\infty,2)$ 0 $(-)(-)(-)=(-)$ False

$(2,6)$ 4 $(-)(+)(-)=+>0$ True

$(6,\infty)$ 8 $(-)(+)(+)=(-)$ False

The inequality is true for (2,6) and the sign of inequality is $\geq$ . So, the ball is above 36 feet between 2 to 6 seconds.

$6-2=4$

Therefore, the required inequality is $-3t^2+24t\geq 36$ and the ball is 36 feet above for 4 seconds.

3 0

2 years ago

What is the Highest.Common.Factor of 18,26and 72

yanalaym [24]

Answer:

first find the common factors of 18,26 and 72.

18: 1,2,3,6,9,18

26: 1,2,13,26

72: 1,2,3,4,6,8,12,18,24,36,72

next, find the common factors which can divide all numbers: 2

then find the highest factor which can divide all numbers. in this case, we only have one factor which is 2 and that shall be the H.C.F.

4 0

3 years ago

Which is closest to the measure of the marked angle in the shape?

GaryK [48]

Out of the 3 choices, I’d say it’s C.

180 degrees because 180 degrees means a straight line and it’s not close to 90, a right angle. It seems like a closer angle to a straight line.

4 0

3 years ago

a meteor train in Delhi carried 4865 passengers in 16 trips.Each trip had an equal number is passengers how many passengers trav

Musya8 [376]

Answer:

304

Step-by-step explanation:

4865/16 = 304.0625 or about 304

I have to round it since you can't bring part of a student in a trip lol.

<em>Ace Carlos</em>

7 0

3 years ago