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DerKrebs [107]
2 years ago
7

What is the length of the altitude of the equilateral triangle below?​

Mathematics
1 answer:
ElenaW [278]2 years ago
5 0

Answer:

A

Step-by-step explanation:

the height a creates with half of the baseline (5) and a leg (10) a right-angled triangle, and we can use Pythagoras to calculate a.

c² = a² + b²

c being the Hypotenuse (the side opposite of the 90° angle, so in our case the 10 side).

10² = a² + 5²

100 = a² + 25

75 = a²

a = sqrt(75) = sqrt(3×25) = 5×sqrt(3)

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What is 5/47as a decimal rounded to 3 decimal places?
viva [34]

Answer:

0.106

Step-by-step explanation:

8 0
3 years ago
A waitress sold 15 ribeye steak dinners and 18 grilled salmon​ dinners, totaling ​$559.81 on a particular day. Another day she s
Orlov [11]

Let  the steaks = X and the salmon = y.

Set up two equations:

15x + 18y = 559.81

19x + 9y = 583.66

Now using the elimination method:

Multiply the second equation by -2, then add the equations together.

(15x+18y=559.81)

−2(19x+9y=583.66)

Becomes:

15x+18y=559.81

−38x−18y=−1167.32

Add these equations to eliminate y:

−23x=−607.51

Divide both sides by -23 to solve for x:

x= -607.51 = -23 = 26.413478

Now you have the cost for a steak.

To solve for the cost of the salmon, replace x with the value in the first equation and solve for y.

15(26.413478) + 18y = 559.91

396.202174 + 18y = 559.81

Subtract 396.202174 from both sides:

18y = 163.607826

Divide both sides by 18:

y = 163.607826 / 18

y = 9.089324

Round both x and Y to the nearest cent:

X (Steaks) =$26.41

Y (Salmon) = $9.09

7 0
3 years ago
Which set of ordered pairs don’t represent a function
babunello [35]

Answer:

The first multiple-choice doesn't represent a function  

Step-by-step explanation:

(-4,3),(1,-6),(-8,-1),(1,9)

because a function has two pairs with the same x value

*hope that makes sense*

4 0
2 years ago
What is the length of the altitude of the equilateral triangle below?
Mazyrski [523]

ANSWER

The length of the altitude is 3\sqrt{3} units


<u>EXPLANATION</u>

The altitude of a triangle is the vertical height of the triangle.


From the diagram the altitude is a


Method 1: We can use Pythagoras theorem to find a


6^2=a^2+3^2


6^2-3^2=a^2


36-9=a^2


27=a^2


We take the square root of both sides,

\sqrt{27}=a


\sqrt{9\times3}=a


\sqrt{9} \times \sqrt{3}=a


3\sqrt{3}=a


Method 2 Using Trigonometry

sin(60\degree)=\frac{a}{6}

6sin(60\degree)=a


a=6\times \frac{\sqrt{3}} {2}


a=3\sqrt{3}






6 0
3 years ago
Read 2 more answers
Write an equation in slope-intercept form of the line that passes through the points (7, – 4) and (3, -1).
Lena [83]

Answer:

Step-by-step explanation:

y2-y1/x2-x1

-1-(-4)/3-7

3/-4

y=mx+b

For the y coordinate it can be either -4,or -1

-4=3/-4x+b

b=13/4

8 0
3 years ago
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