The measure of one acute angle of a right triangle is 12 more than 3 times the measure of the other acute angle. Find the measur
1 answer:
The sum of the two acute angles is 90 degrees. Set this up in the form of the following equation.
We know this because the two angles are x and 3x + 12.
From here you just need to solve.
, or 19.5
This is the measure of one angle. The measure of the other angle is therefore, after a few calculations, 70.5.
19.5 degrees, 70.5 degrees.
We know this because the two angles are x and 3x + 12.
From here you just need to solve.
This is the measure of one angle. The measure of the other angle is therefore, after a few calculations, 70.5.
19.5 degrees, 70.5 degrees.
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Exact Form:
Decimal Form:
− 0.125
3 RIGHT TRIANGLES
1 big right triangle is divided into 2 smaller ones. Medium and small.
<span> a.How far is the spot on the beach from the parking lot? </span>Medium triangle: long leg = 32 m ; short leg = x
Small triangle: long leg = x ; short leg = 18m
32/x = x/18
32*18 = x*x
576 = x²
√576 = √x²
24 = x
Parking lot to the beach is 24 meters.
<span>b. How far will he have to walk from the parking lot to get to the refreshment stand?</span>Use Pythagorean theorem:
Medium triangle: long leg = 32 m ; short leg = 24 m ; hypotenuse = ?
32²+ 24² = c²
1024 + 576 = c²
1600 = c²
√1600 = √c²
40 m = c
Parking lot to refreshment stand is 40 meters.
we know that
The simple interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
in this problem we have
substitute in the formula above
Round to the nearest dollar
therefore
<u>the answer is the option D</u>