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Nata [24]
3 years ago
5

#20 please help me with this Austin’s and an explanation please

Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
6 0

Answer:

10 2/15 hours

Step-by-step explanation:

If we have a candle that is 11 2/5 inches tall

It burns 1 1/8 inches per hour.  We need to divide to see how long the candle will last

11 2/5 ÷ 1 1/8

I will convert the mixed numbers to improper fractions

11 2/5 = (5*11+2)/5 = 57/5

1 1/8 = (8*1+1)/8 = 9/8

57/5 ÷ 9/8

Copy dot flip

57/5 * 8/9

456/45

Now we change it back to a mixed number

45 goes into 456  10 times with 6 left over

10 6/45

This simplifies to 10 2/15

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Identify the values of the variables. Give your answers in simplest radical form. HELP PLEASE!!!
galben [10]

Answer:

x = 3\sqrt{2}

y = 6\sqrt{2}

Step-by-step explanation:

The triangle is a 30-60-90 right triangle.

The ratio of the lengths of the sides is:

1 : \sqrt{3} : 2

The order of the sides in the ratio above is

short leg : long leg : hypotenuse

The long leg is sqrt(3) times the length of the short leg.

x \times \sqrt{3} = 3\sqrt{6}

x = \dfrac{3\sqrt{6}}{\sqrt{3}}

x = 3 \times \sqrt{\dfrac{6}{3}}

x = 3\sqrt{2}

The hypotenuse is twice the length of the short leg.

y = 2 \times 3\sqrt{2}

y = 6\sqrt{2}

6 0
2 years ago
Read 2 more answers
8x-5y=21 simultaneous linear equation<br>2x+9y=-5
olya-2409 [2.1K]

Answer:

x=2 and y=-1

Step-by-step explanation:

If two equations are given, we can solve one of the equation in terms of single variable and put it in the other equation which will further give the value of x and y.

For the given equations:

8x-5y=21              Equation:1

2x+9y=-5             Equation:2

Solving equation multiply equation 2 with 4 on both the sides

8x+36y=-20        Equation 3

Subtracting Equation:3 from Equation:1

8x-5y-(8x+36y)=21-(-20)\\8x-5y-8x-36y=21+20\\-41y=41\\y=-1

Putting value of 'y' in Equation:2 which will give the value of x

2x+9y=-5\\2x+9(-1)=-5\\2x-9=-5\\2x=4\\x=2

8 0
3 years ago
A square has a perimeter of 36 cm.<br> What is the length of each side?
larisa [96]
9 cm i hope this helps
5 0
2 years ago
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Eric got $70 for his birthday. He plans to use some of this money to buy a new video game, but he wants to have at least $14 rem
sdas [7]

Answer:

g ≤ 56

Step-by-step explanation:

56 + 14 ≤ 70

70 ≤ 70

6 0
2 years ago
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Midpoint: (3,5) and (-1, 7)
8_murik_8 [283]
To find the midpoint:
x=3-1/2= 1
y=5+7/2= 6
8 0
3 years ago
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