Given:
Table of fish tank capacity
To find:
Which fish tank has a capacity of 60 gallons.
Solution:
In the given table, the capacity is mentioned in quarts.
Let us convert gallon to quarts.
1 gallon = 4 quarts
60 gallon = 60 × 4
= 240 quarts
In the table Pacific fish tank has 240 quarts capacity (60 gallons).
Therefore Pacific fish tank has a capacity of 60 gallons.
If it is September then it is my birthday
Answer:
x = 14
Step-by-step explanation:
∠ DCA and ∠ BCF are adjacent angles and sum to 180° , then
∠ DCA = 180° - 124° = 56°
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
6x is an exterior angle , then
6x = 2x + 56 ( subtract 2x from both sides )
4x = 56 ( divide both sides by 4 )
x = 14
The length of the altitude AD is 12 units.
<h3>How to find the height of a triangle?</h3>
The height of the triangle can be found as follows:
We have to find an angle using cosine law before we can find the height.
Therefore,
20² = 13² + 21² - 2 × 21 × 13 cos B
400 = 169 + 441 - 546 cos B
400 - 610 = - 546 cos B
-210 = - 546 cos B
cos B = -210 / -546
cos B = 0.38461538461
B = cos⁻¹ 0.38461538461
B = 67.3810899783
B = 67.38°
Hence,
sin 67.38° = opposite / hypotenuse
sin 67.38° = AD / 13
cross multiply
AD = 13 sin 67.38°
AD = 11.9999882145
AD = 12 units
learn more on triangle here: brainly.com/question/13387814
#SPJ1
