The answer for the exercise shown in the image attached is the third option, the option C, which is: C. 1/9
The explanation is shown below:
The information given in the problem above, says that the list of the numbers are randomly generated. Then, you have that there are nine numbers on the list, including the number zero, therefore, the probability that each number occurs is 1/9, so the correct answer is the option C.
excuse the writing io used my mouse
so the aim is to find a simple factor thst when u multiply the divisoor by it si lower thatn the dividend
in this case i used 10 so 10*36=360
then u subtract 360 ( 540-360=180)from the dividend and record the ten which i did on right side of the attachment
then u find another factor that can now multiply 36 but be less that 180 i chose 5
5*36=180
180-180= 0
finally u jus add the factors that used which are the 10 and 5= 15
therefore 540/36 =15
Step-by-step explanation:
To solve this question I would use the sin rule.
The sin rule states that

Therefore if you substitute in your numbers you get:

If you rearrange that you get:

Therefore a = 17.3 Inches (to 3 sf)
This can also be done with basic trigonometry where you would get

Rearranging to

meaning the answer is 13.7 inches
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°
Y=3x2 3x(0.5)=1.5+2=3.5 Y=3.5
3(0.5)X2 1.5X2=3 Y=3
1.5/2=0.75 Y=0.75
1.5-2=-0.5 Y= -0.5
hope that helps . let me know plz