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Fynjy0 [20]
2 years ago
15

what is the length, in units, of the hypotenuse of a right triangle if each of the two legs is 3 units? square root of 18 units

square root of 27 units 3 units 6 units
Mathematics
2 answers:
AfilCa [17]2 years ago
8 0

Answer:

Option 1 is correct that is square root of 18.

Step-by-step explanation:

We will use pythagoras theroem to find the length of hypotenuse

c^2=a^2+b^2

Here, c is hypotenuse,a is one leg and b is the other leg.

Here, a=b=3

On substituting the values in the formula we get:

c^2=3^2+3^2=18

c=\sqrt{18}

Hence, Option 1 is correct that is square root of 18.

ella [17]2 years ago
8 0
A^2 + b^2 = c^2
3^2 + 3^2 = c^2
9 + 9 = c^2
18 = c^2...by taking the sqrt of both sides, this eliminates the ^2
sqrt 18 = c
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Angle S and angle T form a linear pair if measurement of angle S equals 5X +9 and measurement of angle T equals 3X +11 find the
vampirchik [111]
Linear pair angles have too add to 180, so

5x+9+3x+11=180
8x+20=180
8x=160
x=20

so angle S is 5*20+9 = 109
angle T is 3*20+11 = 71
6 0
2 years ago
A rectangular parking area measuring 5000 ft squared is to be enclosed on three sides using​ chain-link fencing that costs ​$5.5
kaheart [24]

Answer:

Dimensions: 75.3778 ft and 66.3325 ft

Minimum price: $1658.31

Step-by-step explanation:

Let's call the length of the parking area 'x', and the width 'y'.

Then, we can write the following equations:

-> Area of the park:

x * y = 5000

-> Price of the fences:

P = 2*x*5.5 + y*5.5 + y*7

P = 11*x + 12.5*y

From the first equation, we have that y = 5000/x

Using this value in the equation for P, we have:

P = 11*x + 12.5*5000/x = 11*x + 62500/x

To find the minimum of this function, we need to take its derivative and then make it equal to zero:

dP/dx = 11 - 62500/x^2 = 0

x^2 = 65000/11

x = 250/sqrt(11) = 75.3778 ft

This is the x value that gives the minimum cost.

Now, finding y and P, we have:

x*y = 5000

y = 5000/75.3778 = 66.3325

P = 11*x + 62500/x = $1658.31

5 0
3 years ago
Find three numbers such that their sum is 12, the sum of the first, twice the second, and three times the third is 31, and the s
Tpy6a [65]

Answer:

a = 3, b = -1, c = 10

Step-by-step explanation:

Let the three numbers be a, b and c.

Equation 1: a + b + c = 12

Equation 2: a + 2b + 3c = 31

Equation 3: 9b + c = 1

Equation 2 - Equation 1:

Equation 4: b + 2c = 19

Equation 3 times by the number 2

Equation 5: 18b + 2c = 2

Equation 5 - Equation 4

17b = -17

b = -1

Substitute into Equation 4:

2c - 1 = 19

2c = 20

c = 10

Substitute into Equation 1:

a + b + c = 12

a - 1 + 10 = 12

a = 3

8 0
2 years ago
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What value of x makes this equation true?<br> 5 -3 = +3<br> A 3<br> B -9<br> C -1<br> D 27
Anastasy [175]

Answer:

-1 I think

Step-by-step explanation:

5-3=2 and -1+3=2

4 0
3 years ago
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