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Fynjy0 [20]
3 years ago
13

Will 3 liter bottle of water fit in two half-gallon jugs

Mathematics
1 answer:
Studentka2010 [4]3 years ago
3 0
Yes it can hold up to a little over 4 liters
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Find the value of x on this triangle
blondinia [14]
Look at the picture.

ΔABD and ΔBCD are similar, therefore:

\dfrac{y}{5}=\dfrac{11}{y}\ \ \ |\cross\ multiply\\\\y^2=55\to y=\sqrt{55}

Use Pythagorean theorem:

x^2=5^2+(\sqrt{55})^2\\\\x^2=25+55\\\\x^2=80\to x=\sqrt{80}\\\\x=\sqrt{16\cdot5}\\\\x=\sqrt{16}\cdot\sqrt5\\\\\boxed{x=4\sqrt5}

6 0
3 years ago
Dale drove 845 miles in 13 hours. at the same rate, how long would it take him to drive 585 miles?
vladimir1956 [14]
9 hours because you have to see how many miles he drove pre hour. 
5 0
3 years ago
Find the area of the triangle with the given measurements. Round the solution to the nearest hundredth if necessary.
Rama09 [41]

Check the picture below.

now, we have a triangle with all three sides, thus we can use Heron's Area Formula on the triangle.

\bf \qquad \textit{Heron's area formula} \\\\ A=\sqrt{s(s-a)(s-b)(s-c)}\qquad \begin{cases} s=\frac{a+b+c}{2}\\[-0.5em] \hrulefill\\ a=10\\ b=26.695\\ c=22\\ s=29.3475 \end{cases} \\\\\\ A=\sqrt{29.3475(29.3475-10)(29.3475-26.695)(29.3475-22)} \\\\\\ A=\sqrt{29.3475(19.3475)(2.6525)(7.3475)}\implies A\approx \sqrt{11066.007} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill A\approx 105.195~\hfill

4 0
3 years ago
What is the solution to 2x^2+8=x^2-16?
KIM [24]
X= 2i(square root of 6), -2i(square root of 6)
7 0
4 years ago
Point K is on line JL. given JL =4x, JK= 2x+3, and KL=x, determine the numerical length of kl​
balandron [24]

Hi! I'm happy to help!

Our total line is JL (4x), and it is split into two parts: JK, and KL. We have our values, and we know that JK+KL=JL, so we can substitute our values and solve for x:

4x=(2x+3)+(x)

4x=3x+3

To solve for x, we have to isolate it on one side of the equation.

First, let's subtract 3x from both sides so that we can isolate x:

4x=3x+3

-3x -3x

x=3

<u>So, our x=3, which means that KL=3.</u>

I hope this was helpful, keep learning! :D

5 0
3 years ago
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