<h2>
Answer:</h2>
<u>x= 90°</u>.
<h2>
Step-by-step explanation:</h2>
<h3>1. Write the expression.</h3>
<h3>2. Subtract "4" from both sides of the equation.</h3>
<h3>3. Add "8sin(x)" to both sides of the equation.</h3>
<h3>4. Divide both sides by 10.</h3>
<h3>5. Apply the arcsin of sin^-1 to both sides of the equation.</h3>
<h3>6. Conclude.</h3>
<u>x= 90°</u>.
Answer:
(C)72.4 in
Step-by-step explanation:
Given an acute triangle in which the longest side measures 30 inches; and the other two sides are congruent.
Consider the attached diagram
AB=BC=x
However to be able to solve for x, we form a right triangle with endpoints A and C.
Since the hypotenuse is always the longest side in a right triangle
Hypotenuse, AC=30 Inches
Using Pythagoras Theorem
Therefore, the smallest possible perimeter of the triangle
Perimeter=2x+30
=2(21.21)+30
=42.42+30
=72.4 Inches (rounded to the nearest tenth)
Since we are already given with the formula to solve for the coordinates of point L, all we have to do is to perform the necessary operation in the item. The formula for the coordinates of the midpoint is, M = ((5 + 1) / 2 , (3 - 7) / 2)performing the operation, M = (3, -2)Thus, the coordinates of point L are (3,-2).
Read more on Brainly -
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Answer:
Step-by-step explanation:
The given system is
We substitute the bottom equation into the top equation to get:
Expand to get:
Group similar terms:
Combine similar terms:
Put into the bottom equation
The solution is
You can answer this by using Pythagoras theorem. Okay, let me draw this first.
2 miles
V
________________________
| |
| |
| | << 1.5 miles
|_______________________|
^ Assume this is the rectangle. The long side is 2 miles while the shorter side is 1.5 miles.
So, to get the shortest distance, let's cut out a triangle from the rectangle.
/|
/ |
/ |
What we want to find is this one > / | << 2 miles
/ |
/______|
^ 1.5 miles (I know the size is not logical,but imagine it please)
So to get the diagonal length =
=
= 2.5 miles
To calculate how much shorter = ( 2 miles + 1.5 miles) - 2.5 miles
= 3.5 miles - 2.5 miles
= 1.0 miles
Hope this help !
