Answer:
The length of the BC is 25 units .
Step-by-step explanation:
As shown in the diagram
In ΔABC
∠B = ∠C (As given)
(If the angles are equal than their opposite sides are also equal .)
Thus
AB = BC
As given
AB = 4x + 4
AC = 6x - 14
Thus
4x + 4 = 6x - 14
6x - 4x = 14 + 4
2x = 18

x = 9
Put in the
BC = 2x + 7
= 2 × 9 + 7
= 18 + 7
= 25 units
Therefore the length of the BC is 25 units .
Answer:
58 ft
Step-by-step explanation:
So I attached a diagram that illustrates the triangle that is formed. We know an angle, as well as the hypotenuse. We are looking for the height, or in other words the opposite side of the angle. There is a trigonometric function defined as:
. Using this we can plug in known values and solve for the opposite side, which I'll simply represent as x.

Multiply both sides by 80

Calculate sin(46) using a calculator (make sure it's in degree mode)

Simplify

Round this to the nearest foot

Answer:
20
Step-by-step explanation:
First, let's find how much she spent on the expensive calculators
40 times $16400= $656,000
Now, lets find how much money she had for the cheap calculators.
$774,000- $656,000=$118000
Now that we have her budget (money remaining) for the cheaper calculators, lets divide that by the price for each individual calculator.
$118000/$5900=20
If you like my answer, please mark me as a brainliest! (I am new to this community.)
Answer:
x=47°
Step-by-step explanation:
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