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3 years ago

How many times greater is the capacity of one gallon than one quart

Mathematics

1 answer:

d1i1m1o1n [39]3 years ago

7 0

I would say 4 times the capacity because 4 gallons = 1 quart!
Hope I helped!

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Round 954 to the nearest hundred

Alla [95]

Answer:

Step-by-step explanation:

1000

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4 years ago

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Which number is a perfect cube? O25 O36 O125 O300<br><br><br> please

madam [21]

Answer:

125

Step-by-step explanation:

We're looking for a number that we can multiply three of the same number to get. For example, 25 is a perfect square, because 5*5 = 25.

You can test these all on your calculator, if you're allowed! Just take the third root of all of them, and if it's a whole number, you know you have a perfect cube.

The answer, though, is 125, because 5*5*5 = 125.

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3 years ago

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4. (a)(i)Show that log4x=2log16x. (ii)Show that log x=3logb³ x. (iii) Show that log₂x=(1+log₂3)logix.

alexdok [17]

that log4x=2log16x. (ii)Show that log x=3logb³ x. (iii) Show that log₂x=(1+log₂3)logix

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2 years ago

janet made some cupcakes.She was planning on putting them in boxes. If she put 3 in each box, there will be 2 left over If she p

TEA [102]

She made 11 cupcakes.

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3 years ago

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PLS HELP ME!!!!!!!! 99 POINTS

Amiraneli [1.4K]

Answer:

$\angle LKN=\arctan1.8\sqrt{97}\approx 86.77^{\circ}$

Step-by-step explanation:

Draw the second altitude MB (see attached diagram).

Quadrilateral HLMB is a rectangle, then LM = HB = 3 units.

Trapezoid KLMN is isosceles trapezoid (because KL=MN), thus

$KH = BN = \dfrac{KN-HB}{2}=\dfrac{13-3}{2}=5\ units\\ \\HN=HB+BN=3+5=8\ units$

Triangle LHN is right triangle, then by Pythagorean theorem,

$LN^2=LH^2+HN^2\\ \\89^2=LH^2+8^2\\ \\LH^2=89^2-8^2\\ \\LH^2=(89-8)(89+8)\\ \\LH^2=81\cdot 97\\ \\LH=9\sqrt{97}\ units$

Consider right triangle KLH. In this triangle,

$\tan\angle LKH=\{\tan\angle LKH\}=\dfrac{\text{opposite leg}}{\text{adjacent leg}}=\dfrac{LH}{KH}=\dfrac{9\sqrt{97}}{5}=1.8\sqrt{97}\ units$

So,

$\angle LKN=\arctan1.8\sqrt{97}\approx 86.77^{\circ}$

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3 years ago