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gogolik [260]
3 years ago
7

What is the length of side x?

Mathematics
1 answer:
Vinil7 [7]3 years ago
5 0

Answer:

x = 3

Step-by-step explanation:

In a 30-60-90 triangle the side between 60 and 90 degree angle is  a, the side between 30 and 90 degree angle is  a√3, and the hypotenuse is 2*a.

Given that the side that is supposed to be  a is currently √3, we know that the missing side x must be:

a√3    (We know that a, in this case, is √3, so substitute)

x = (√3) * (√3)

x = 3

You might be interested in
There are nickles and quarters worth $2.20 in total. If there are 28 coins, how many nickels are there?
Eduardwww [97]
Answer:

There are 24 nickels

Step-by-step explanation:

Let x represent the number of nickels

Let y represent the number of quarters
—————————————————————

Value Value
Type Number of of
of of each all
Coin Coin Coin Coin
—————————————————————
Nickels | x | $0.05 | $0.05x
Quarters | y | $0.25 | $0.25y
—————————————————————
Totals 28 ——— $2.20
•••••••••••••••••••••••••••••••••••••••••••••••••

The first equation comes from the “Number of coins” column.

(Number of nickels) + (Number of quarters) = (total number of coins)

Equation: x + y = 28
—————————————————————
The second equation comes from the “value of all coins” column.

(Value of all nickels) + (Value of all quarters) = (Total value of all coins)

0.05x + 0.25y = 2.20

Remove the decimals by multiplying each term by 100:

5x + 25y = 220
—————————————————————
So we have the system of equations:

{x + y = 28
{5x + 25y = 202

Solve by substitution. Solve the first equation for y:

x + y = 28
y = 28 - x

Substitute (28 - x) for y in 5x + 25y = 220

5x + 25 (28 - x) = 220
5x + 700 - 25x = 220
-20x + 700 = 220
-20x = -480
x = 24

The number of nickels is 24.
————————————————————
Substitute in y = 28 - x
y = 28 - (24)
y = 4

The number of quarters is 4.
————————————————————
Checking:

24 nickels is $1.20 and 4 quarters is $1.00
That’s 28 coins.
Indeed $1.20 + $1.00 = $2.20
————————————————————

6 0
3 years ago
sue is ctting pieces of ribbon 8/1/2 inches long about how many pieces can she cut from a 6 foot length of ribbon?
Anna11 [10]
Jhgdyytggfdes1366789
7 0
3 years ago
Write the number with the same value as 28 tens
Anvisha [2.4K]
The value of 28 tens is basically doing 28 times 10(in case you didn't know). 28 times 10 is 280. So the value of 280 tens is 280.
5 0
3 years ago
[(e^x -e^-x)/(e^x + e^-x)] = 1/3​
mr_godi [17]

Answer:

x ≈ 0.34657359

Step-by-step explanation:

5 0
3 years ago
One number is 5 more than another.
Ganezh [65]

Answer: 29 and 24

Step-by-step explanation:

Since one number is 5 more than another

53-5 = 48

Then we divide that by two to get the value of one of the two numbers

48/2= 24

In order to get the number which is 5 more than the other, we add 5

24+5= 29

So the two numbers would be 29 and 24.

Check:

29+24= 53

7 0
3 years ago
Read 2 more answers
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