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REY [17]
2 years ago
8

5. What is the value of x?

Mathematics
1 answer:
balu736 [363]2 years ago
4 0

Answer:

5\sqrt{3}

Step-by-step explanation:

in a 30-60-90 triangle the ratio of sides, respectively, is 1 : \sqrt{3} : 2

you can set up a proportion like this to solve for 'x':

\sqrt{3} / 1 = 15 / x

cross-multiply:

\sqrt{3}x = 15

x = 15/\sqrt{3}

rationalize the denominator by multiply top and bottom by \sqrt{3}

you get 15\sqrt{3} ÷ 3 which is 5\sqrt{3}

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Amelia needs to buy some dog food at the nearest store 6 bags of dog food cost 19.50 how much would Amelia spend on 3 bags of do
nataly862011 [7]

Answer:

Well, let us find the contanst value. $19.50 ÷ 6 = $3.25 per dog food bag. $3.25 x 3 = $9.75.

Amelia would have to pay $9.75 for 3 bags of dog food

7 0
3 years ago
Which unit of measure would be appropriate for the area of a soccer field that is 105 m long and 67 m wide
liq [111]
An appropriate unit of measurement for the area of the a soccer field is meters. It could never be miles, because that's way too long. Or millimeters, because that's way too short. Soccer fields are usually meters and meters long, so a unit of measure that is appropriate for an area of a soccer field is meters.
6 0
3 years ago
Camille's kitchen has an area of 80 square feet. The kitchen is 8 times as many square feet as Camille's pantry. If the pantry i
Inessa05 [86]

Answer:

Length of the pantry = 5 feet

Step-by-step explanation:

Camille's kitchen has an area of 80 square feet. The kitchen is 8 times as many square feet as Camille's pantry.

Step 1

Area of Camille's kitchen = 8(Area of Camille's pantry)

Area of Camilla kitchen = 80 square feet

80 square feet = 8(Area of Camille's pantry)

Area of Camille's pantry = 80 square feet/8

Therefore:

Area of Camille's pantry = 10 square feet

Step 2

If the pantry is 2 feet wide, what is the length of the pantry?

The shape of the pantry is rectangular hence:

The area of the pantry = Length × Width

Area of the pantry = 10 square feet

Width = 2 feet

Length = Area of the pantry/Width

Length = 10 square feet/2 feet

Length = 5 feet

5 0
2 years ago
Write an equation to express the relationship between pressure and temperture (k) use the symbols p,t,k
IRISSAK [1]
K = constant

k * temperature = pressure

or p/t = k

this is gay-lussac's law. are you using temperature in kelvin or is that a mistake while writing the question?
6 0
3 years ago
1/2 to the power of 4
Zepler [3.9K]

Answer: 1/16 because 1 to the power of anything is the same. 2 to the power of 4 is 16 so 1/16

6 0
2 years ago
Read 2 more answers
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