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hjlf
3 years ago
6

Find the value of y. y 120

Mathematics
1 answer:
irga5000 [103]3 years ago
7 0

Answer:

60 degrees

Step-by-step explanation:

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Find the area of a triangle whose vertices are located at (-2,5), (-4, -3), and (3,1). Evaluate the determinant using diagonals.
myrzilka [38]

Answer:

The area of the triangle is 48 unit²

Step-by-step explanation:

The given vertices of the triangle are;

(-2, 5), (-4, -3), and (3, 1)

The formula for finding the area of a triangle with given coordinates of the vertices is as follows;

\Delta  = \dfrac{1}{2}\times \begin{vmatrix}x_1 & y_1 & 1\\ x_2 & y_2 & 1\\ x_3 & y_3 & 1\end{vmatrix} = \dfrac{1}{2}\times \left | x_1\cdot y_2 - x_2\cdot y_1 + x_2\cdot y_3 - x_3\cdot y_2 + x_3\cdot y_1 - x_1\cdot y_3\right |

Substituting gives;

\Delta  = \dfrac{1}{2}\times \begin{vmatrix}-2& 5 & 1\\ -4 & -3 & 1\\ 3 & 1 & 1\end{vmatrix} \\\Delta  = \dfrac{1}{2}\times \left | (-2)\times (-3) - ((-4)\times 5) + (-4)\times 1 - 3\times (-3) + 3 \times 5 - (-2)\times 1\right | \\\Delta  = \dfrac{1}{2}\times \left | 6 +20 -4 +9 + 15+2\right |  = 48

The area of the triangle = 48 unit².

5 0
3 years ago
Factor using greatest common factor 24x-18
sukhopar [10]

take a factor of 6 out to make 6(4x-3)
3 0
3 years ago
C= 7h+125 The Equation above keeps the amount CN dollars an electrician charges for a job it takes eight hours Miss Sanchez and
PIT_PIT [208]

Answer:

$14

Step-by-step explanation:

The total amount, C charged by an electrician for h hours of work is ;

C= 7h+125

If the electrician spends 2 more hours on Sanchez job than Ronald, then the amount Mrs Sanchez paid more than Ronald can be obtained thus:

From the equation :

C= 7h+125

The slope relation with number of hours worked gives the change in amount paid for differebt work hours. Since the intercept is constant, we ignore its value in this exercise.

For 2 more hours of work :

Additional amount = 7h ; h = 2

7h = 7 * 2 = 14

Hence, Mrs Sanchez pays $14 more.

6 0
3 years ago
What is the mean, median, and mode of 6,2,3,4,4,2,8,5,2​
bearhunter [10]

Answer:

Mode=2

Median=4

Step-by-step explanation:

Mode you add all the numbers and divide by the actual number of the numbers given.

Median you cancel the numbers from first to last until you reach the one in the middle that's going to be the median.

5 0
4 years ago
A barrel of oil contains 42.0 gallons. how many liters is this? (1 gal = 3.785 l)
Natali [406]
155 Liters, multiply the amount of liters within a gallon by the amount shown (42) 3.875 times 42= 155. hope i helped

3 0
3 years ago
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