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devlian [24]
3 years ago
5

Use substitution to solve the system of equations

Mathematics
1 answer:
mr_godi [17]3 years ago
8 0
C,A,D your answer i think i solve and that wht i got
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Find the area of an equilateral triangle with 12-inch altitudes
Nina [5.8K]

\textit{height of an equilateral triangle}\\\\ h=\cfrac{s\sqrt{3}}{2}~~ \begin{cases} s=\stackrel{side's}{length}\\[-0.5em] \hrulefill\\ h=12 \end{cases}\implies 12=\cfrac{s\sqrt{3}}{2}\implies 24=s\sqrt{3}\implies \cfrac{24}{\sqrt{3}}=s \\\\[-0.35em] ~\dotfill

\textit{area of an equilateral triangle}\\\\ A=\cfrac{s^2\sqrt{3}}{4}\qquad \qquad A=\cfrac{~~ \left( \frac{24}{\sqrt{3}} \right)^2 \sqrt{3}~~}{2}\implies A=\cfrac{~~ \frac{24^2}{3} \sqrt{3}~~}{2} \\\\\\ A=\cfrac{192\sqrt{3}}{2}\implies A=96\sqrt{3}\implies A\approx 166.28

4 0
2 years ago
Solve equation. Verify answer 14=-2w
notka56 [123]

Answer:

w = -7

Step-by-step explanation:

Isolate the variable, w. Note the equal sign, what you do to one side, you do to the other.

Divide -2 from both sides:

(14)/-2 = (-2w)/-2

(14)/-2 = w

Note that when you are dividing:

  • 1 negative & 1 positive sign will result in a negative answer
  • 2 negative sign will result in a positive
  • 2 positive sign will result in a positive

In this case:

(14)/-2 = -7

-7 is your answer for w.

~

8 0
3 years ago
95/8 -17/8 what does it equal
Rufina [12.5K]
Input the fraction = 95/8 
Integer =11
Fraction part = 7/8
Answer = 11.875
8 0
3 years ago
Read 2 more answers
Find a percent of a number by making a proportion.<br> 2 1/2% of 13.7
AleksandrR [38]

Thx for em yahoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo

8 0
2 years ago
Find the area of the isosceles triangle.
kogti [31]

Answer:

The hight length : h

The base length : a

Apply the Pythagorean theorem in the right triangle :

h² = 13² - (10/2) = 144

h  = √144 = 12 cm

S = (a x h)/ 2 = ( 10 x 12 )/2 = 60 cm²

Step-by-step explanation:

5 0
2 years ago
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