Answer:
132°
Step-by-step explanation:
Quadrilateral ABCD is inscribed in a circle,
So, it is a cyclic quadrilateral.
Opposite angles of a cyclic quadrilateral are supplementary.
(3x-12)° = (3*48 - 12)° = (144 - 12)° = 132°
If c=25 and B=75 degrees, find a. Round to the nearest tenth.
1 answer:
Answer:
a=6.9
Step-by-step explanation:
Since you know that C is a right angle, you can use the Law of Sines to find a. The first step is to find the size of the angle A, which is 180-74-90=16. Now, you set up a ratio that involves 3 knowns and one unknown to get , which after cross multiplying yields
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<u>B) </u>
<u>C) </u> volume = .
<u>Step-by-step explanation:</u>
Here we have , The base of an open rectangular box is of length (2x+5) cm and width x cm. The area of this base is 58cm^2. The height of the open box is (x-2) cm. We need to find the following :
a) show that 2x^2+5x-58=0
We know that area of rectangle =
⇒
Putting values according to question we get :
⇒
⇒
⇒
b) solve the equation in the question above, giving your answer to 2 decimal places
Solving this equation :
⇒
By quadratic formula
⇒
⇒
⇒
⇒ { Since side can't be negative ! }
⇒
c) calculate the volume of the box, stating units of you answer
Since x = 4.28 , other sides are
We know that volume is given by :
⇒
⇒
⇒
Therefore , volume = .