<h3>
Answer: 1.8</h3>
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Work Shown:
Use the tangent ratio
tan(angle) = opposite/adjacent
tan(B) = AC/AB
tan(61) = AC/1
tan(61) = AC
AC = tan(61)
AC = 1.80404775527142
AC = 1.8
The river is about 1.8 miles wide between points A and C.
Make sure your calculator is in degree mode. One way to check is to type in tan(45) and you should get 1.
Answer:
22/15 quarts of water.
Step-by-step explanation:
To solve this, we need to add 4/5 and 2/3. To do this, we need to find the LCM of 5 and 3. The LCM of 5 and 3 is 15. Now, we multiply 4/5 by 3/3. That gets us 12/15. Now, we multiply 2/3 by 5/5. That gets us 10/15. Now, we add 12/15 and 10/15 (don't add the bottom numbers). This gets us 22/15 quarts of water.
Answer:
if you are solving for x, x= 4/3
Step-by-step explanation:
Answer: 8 hour
Step-by-step explanation:
The standard form of a parabola is

, where h and k are the coordinates of the vertex and the a is the value that either compresses it vertically or draws it out horizontally (aka stretched). The h value also indicates side to side movement, while the k value indicates up or down movement. The larger the a value, the closer the parabola "hugs" the axis of symmetry. All in all here, we have a parabola in g(x) that is vertically compressed and is moving down from its original vertex of f(x) which (0, 0) by 2 units. Therefore, our choice is b.