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Ivahew [28]
2 years ago
15

Find the area of the triangle. Round to the nearest tenth.

Mathematics
1 answer:
Fiesta28 [93]2 years ago
5 0

Answer: 130

Step-by-step explanation:

Find the height of the triangle by using the pythagorean theorem

So the height is sqrt(100 - 25) = 5sqrt(3)

The area of the triangle is 30 * 5sqrt(3) / 2 = 75sqrt(3) = 129.9 = 130

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Solve x^2+20x+100=50
uysha [10]
1. You con solve the quadratic equation x^2+20x+100=50<span> by following the proccedure below:
 
 2. Pass the number 50 from the right member to the left member. Then you obtain:
 
 x^2+20x+100-50=0
</span><span> x^2+20x+50=0
</span><span> 
 3. Then, you must apply the quadratic equation, which is:
 
 x=(-b±√(b^2-4ac))/2a
 
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</span><span> 
 a=1
 b=20
 c=50
 

  4. Therefore, when you substitute the values into the quadratic equation and simplify ir, you obtain that the result is:
 
  -10</span>±5√2   (It is the last option).
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2 years ago
Emily is taking her motorized scooter to a friend's house which is 96 miles away she is riding at an average rate of 15 miles pe
S_A_V [24]
It would take Emily a little over 6 hours to get to her friends house.
3 0
3 years ago
ANSWER NUMBER 11 PLZ AND ILL MARK YOU BRAINLIEST !!!
Yakvenalex [24]

Answer:

11

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Solve the system by using a matrix equation (Picture provided)
Katyanochek1 [597]

Answer:

Option b is correct (8,13).

Step-by-step explanation:

7x - 4y = 4

10x - 6y =2

it can be represented in matrix form as\left[\begin{array}{cc}7&-4\\10&-6\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right] = \left[\begin{array}{c}4\\2\end{array}\right]

A= \left[\begin{array}{cc}7&-4\\10&-6\end{array}\right]

X= \left[\begin{array}{c}x\\y\end{array}\right]

B= \left[\begin{array}{c}4\\2\end{array}\right]

i.e, AX=B

or X= A⁻¹ B

A⁻¹ = 1/|A| * Adj A

determinant of A = |A|= (7*-6) - (-4*10)

                                    = (-42)-(-40)

                                    = (-42) + 40 = -2

so, |A| = -2

Adj A=  \left[\begin{array}{cc}-6&4\\-10&7\end{array}\right]

A⁻¹ =  \left[\begin{array}{cc}-6&4\\-10&7\end{array}\right]/ -2

A⁻¹ =  \left[\begin{array}{cc}3&-2\\5&-7/2\end{array}\right]

X= A⁻¹ B

X=  \left[\begin{array}{cc}3&-2\\5&-7/2\end{array}\right] *\left[\begin{array}{c}4\\2\end{array}\right]

X= \left[\begin{array}{c}(3*4) + (-2*2)\\(5*4) + (-7/2*2)\end{array}\right]

X= \left[\begin{array}{c}12-4\\20-7\end{array}\right]

X= \left[\begin{array}{c}8\\13\end{array}\right]

x= 8, y= 13

solution set= (8,13).

Option b is correct.

3 0
3 years ago
Cleatus pulled into the neighborhood gas station to fill his car with gas. The 91-octane gas is selling for $2.08 per gallon. He
Dafna1 [17]

Answer: $47.60

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Now, just add the $6.00 car wash to the total amount of gas which is $41.60.

$41.60 + $6.00 = $47.60

So, the total amount of his purchase was $47.60

7 0
2 years ago
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