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sp2606 [1]
3 years ago
10

A sports team has a cooler that holds 20.25 L of fluid. After practice, each of the 11 players drinks 0.95 L of sports drink.

Mathematics
1 answer:
Nitella [24]3 years ago
3 0
11 x 0.95 L = 10.45 L  so then 20.25 L - 10.45 L = 9.8 L
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Find the missing lengths: LK=15 and KH=9, find KI and HI.
Luda [366]

Answer:

KI=11.25 and HI=6.75

Step-by-step explanation:

Consider the below figure attached with this question.

According to Pythagoras Theorem:

base^2+perpendicular^2=hypotenuse^2

Use Pythagoras in triangle HKL

LH^2+KH^2=LK^2

(LH)^2+9^2=15^2

(LH)^2+81=225

(LH)^2=144

Taking square root on both sides.

LH=12

Let length of HI be x.

LI = 12+x

Use Pythagoras theorem in ΔKLI,

(KI)^2+15^2=(12+x)^2

(KI)^2+225=x^2+24x+144

(KI)^2=x^2+24x+144-225

(KI)^2=x^2+24x-81...(1)

Use Pythagoras theorem in ΔHKI,

(KI)^2=x^2+9^2

(KI)^2=x^2+81...(2)

From (1) and (2) we get

x^2+81=x^2+24x-81

24x=162

x=\dfrac{162}{24}=6.75

Hence, the measure of HI is 6.75 units.

Substitute x=6.75 in equation (2).

(KI)^2=(6.75)^2+81

(KI)^2=126.5625

Taking square root on both sides.

KI=\sqrt{126.5625}

KI=11.25

Hence, the measure of KI is 11.25 units.

3 0
3 years ago
The boxplot below displays the average number of apple pies consumed in eating contests across a particular state. The higher ou
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6 0
3 years ago
<4 and <5 are suplementary angles. if m<4=76 degree then m<5=?​
Yuri [45]

Answer:

.

Step-by-step explanation:

5 0
3 years ago
Don’t understand can someone help
adell [148]
<h2>Answer: y = -1x + 2</h2>

Step-by-step explanation:

Points ( -3,5 )( 6,-4 )

You use the slope formula to find the slope.

<h3>Note: You'll need to learn the slope formula to make more sense of it, I suggest watching a video about it.</h3>

M = Y2 - Y1 over

      X2 - X1

Which is -4 - 5

               6 - -3 =         -9/9 = -1

The slope is -1

Now to find the y-intercept we use one of the x,y points ( I'll use 6,-4 )

And plug them in

-4 = -1(6) + b

-4 = -6 + b

+6   +6

2 = b

The equation will be y = -1x + 2

3 0
3 years ago
An equation is written to represent the relationship between the temperature in Alaska during a snow storm, y, as it relates to
baherus [9]
The x axis represents time so it can only have positive values.

That means that the quadrant 2 and quadrant 3 are not used.

Given that the temperature (y-axis) can be positive or negative the values are in the quadrants 1 and 4.

Therefore, the answer is Quadrant 1 and 4 only.
3 0
3 years ago
Read 2 more answers
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