Applying the trigonometric area formula, the amount of fabric she will need to make all the three triangles is: C. 417 square inches.
<h3>What is the Trigonometric Area Formula?</h3>The trigonometric area formula is expressed as: Area = 1/2 × ab × sin(C).
Find the area of one of the triangles:
a = 17 in.
b = 17 in.
C = 74°
Area = 1/2 × (17)(17) × sin(74) ≈ 139 sq. in.
Area of the three triangles = 3(139) = 417 square inches.
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Answer:
C
Step-by-step explanation:
To write the equation of a line use the point slope form of a line substituting m = -1/2 and the point (-2,-3).
Convert to standard form by applying the distributive property and rearranging the terms.
The equation x +2y = -8 is the same equation as 4y + 2x = -16 just doubled----> 2x + 4y = -16
Answer:
0.0078125
Step-by-step explanation:
If the probability of flipping a fair coin (mentally) correctly for 1 row is 0.5, then the probability of flipping it correctly for 2 rows is
0.5 * 0.5 = 0.25
for 3 rows: 0.5*0.5*0.5 = 0.125
...
For 7 rows:
Answer:
Step-by-step explanation:
To do this, you must substitute for x in the equation g(x)
Simplified this would be
Step-by-step explanation:
We are given the equation <em>6(5x - 3) = 1/3(24x + 12)</em>, and we must find the value of <em>x</em>.
The first step is to distribute. Distribute the <em>6 </em>to <em>5x </em>and <em>-3</em>, and distribute<em> 1/3 </em>to <em>24x </em>and <em>12</em>. This give us the equation <em>30x - 18 = 8x + 4</em> to work with.
The next step is to get <em>x </em>by itself. In order to do this, subtract 18 from each side of the equation. This gives get's rid of the <em>-18</em> and get's <em>x </em>by itself on one side of the equation and gives us the equation <em>30x = 8x +22</em>.
Now that x is by itself on one side of the equation, get 22 by itself on the other side of the equation. The way to do this is to subtract 8x from each side. This gives us the equation <em>22x = 22</em>.
Divide both sides by 22 and get the equation <em>x = 1</em>
<em>Hope that this helps and clears it up! Have a great day!</em>