Answer:
21
Step-by-step explanation:
Sin means to divide the opposite side measure by the hypotenuse. Cos is equal to the adjacent side value divided by the hypotenuse. Tan is equal to the opposite value divided by the adjacent. To remember this, I use the abbreviation SOHCAHTOA. SOH for Sin is Opposite over Hypotenuse, and so on.
Answer:
i)
- <em>DA is diameter and AX is tangent to circle</em>
<u>Your answer is correct</u>
ii)
<u>Given m∠BAX = 42° and ∠DAB is complementary with BAX ⇒ </u>
<u>DC = BC ⇒ intercepted arcs are same ⇒ </u>
<u>mDC = mCB ⇒ mDCB = ∠DAB = 48° ⇒ </u>
- m∠CDB = m∠BDC = 1/2*48 = 24°
iii)
∠CBA
<u>∠CBA is supplementary with ∠ADC as opposite angles of cyclic quadrilateral (∠ADB = ∠BAX = 42°)</u>
- m∠ADC = m∠ADB + m∠CDB = 42° + 24° = 68°
- m∠CBA = 180° - m∠ADC = 180° - 68° = 112°
∠BAE
EA║CB and AB is transversal ⇒ CBA and BAE are supplementary angles:
- m∠BAE = 180° - 112° = 68°
∠DCE
- m∠DCB = 180° - m∠DAB = 180° - 48° = 132°
- m∠BCE = 180° - m∠BAE = 180° - 68° = 112°
- ∠DCE = 132° - 112° = 20°
Let's solve this problem step-by-step.
STEP-BY-STEP SOLUTION:
= 1 / 8 + ( - 5 / 12 ) - 3 / 8
= 1 / 8 - 5 / 12 - 3 / 8
= ( 3 - 10 - 9 ) / 24
= - 16 / 24
= - 2 / 3
Hope this helps! <3
Answer:
208
Step-by-step explanation:
16x13
