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3 years ago

11

How long will it take to fill the pool if two hoses are used, one that fills at a rate of 40 gallons per hour and one that fills

at a rate of 60 gallons per hour.?

1 answer:

mojhsa [17]3 years ago

7 0

Add 40to 60 gallons and divided

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Your friend enters a contest to see how many seconds they can stay standing on on a beam without falling off. The first day they

Rom4ik [11]

Answer:

Step-by-step explanation:

So this is an exponential equation because it is doubling each day.

So you will first determine the equation f (x)

6 0

2 years ago

Find the solutions to the equation below.

taurus [48]

2x²+7x+3=0

2x²+(1+6)x+3=0

2x²+1x+6x+3=0

x(2x+1)+3(2x+1)=0

(2x+1)(x+3)=0

2x+1=0. x+3=0

2x=-1. x=-3

x=-1/2

7 0

2 years ago

36 fifth graders are on a team with the same number on students on each team, if there are more then then 1 but less then 20 tea

frosja888 [35]

Depending on the number of teams, the possible numbers of students per team are in the set:

{2, 3, 4, 6, 9, 12, 18}

<h3>How many students can be on each team?</h3>

We know that there are 36 students divided equally into N teams.

Such that the number of teams is larger than 1 and smaller than 20.

Then we could have 2 teams, such that the number of students in each team is given by the quotient between the total number of students and the number of teams.

36/2 = 18

There are 18 students in each team.

Notice that the numbers of teams can only be factors of 36, where:

36 = 6*6 = 2*2*3*3

So the factors are:

2, 3, 2*3, 3*3, etc...

If there are 3 teams we have:

36/3 = 12 students per team.

If there are 6 teams we have:

36/6 = 6 students per team.

if there are 9 teams:

36/9 = 4 students per team.

If there are 12 teams:

36/12 = 3 students per team.

If there are 18 teams:

36/18 = 2 students per team.

These are all the possibilities.

If you want to learn more about factors:

brainly.com/question/219464

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7 0

1 year ago

The angle 01 is located in Quadrant III, and cos(01) = -30/13

larisa [96]

Answer:

<h2>sin(01) = -32.70/13</h2>

Step-by-step explanation:

Given cos(01) = -30/13 where angle 01 is located in quadrant III. In the third quadrant, both cos and sin are negative. only tan is positive.

To calculate sin(01), we will apply the trigonometry expression as shown below;

cos(01) = -30/13

According to SOH CAH TOA;

cos(01) = adjacent/hypotenuse = -30/13

sin(01) = opposite/ hypotenuse

To get the hypotenuse, we will use the pythagoras theorem

$hyp^{2}=opp^{2}+adj^{2} \\opp^{2}= hyp^{2}-adj^{2}\\opp^{2}= 13^{2} -(-30^{2} )\\opp^{2} = 169+900\\opp^{2}=1069\\opp = \sqrt{1069} \\opp = 32.70\\$

sin(01) = 32.70/13

Since sin is also negaitve in the third quadrant, the value of

sin(01) = -32.70/13

$01 = cos^{-1}- 30/13$

8 0

2 years ago

Kiyo used to wire fencing to form a border around a circular region in his backyard. If the radius of the circular region was 5

kakasveta [241]

Answer:

The total length of the border is $31.4\ yd$

Step-by-step explanation:

we know that

The circumference of a circle is equal to

$C=2\pi r$

we have

$r=5\ yd$

assume

$\pi=3.14$

substitute

$C=2(3.14)(5)=31.4\ yd$

6 0

3 years ago