Answer: the answer is approximately 41.65428, not rounded (maybe re do all the steps just in case)
Step-by-step explanation:
1. label the space between X and W the unknown.
2. You will be using SOH-CAH-TOA
3. Label the X as the opposite because it is the opposite side of where your degree is located.
4. Label five as adjacent because it’s next to the degree.
5. You will use TOA since you have adjacent and opposite values.
6. Write the equation tan58=x/5, the unknown goes on the top because O is first, the five goes on the bottom because A is last on TOA.
7. After you have the equation time 5 on both sides leaving you out with (5)tan58=x
8. On your calculator time (5)tan58 which will give you x.
The angle x is half the sum of the intercepted arcs, PQ and NO.
... (1/2)(65° + 45°) = 55° = x° = m∠PMQ
Answer:
(0,1)
Step-by-step explanation:
There is a solution where the two equations intersect, therefore:
3x+1=2x+1
3x-2x=1-1
x=0
If we plug this 0 value into the x of both equations, we get a y value of 1:
y=3*0+1
y=0+1
y=1
OR
y=2*0+1
y=0+1
y=1
Therefore, there is a solution at (0,1)
<em>I hope this helped! :)</em>
X= -2 because since it has the absolute value symbol it’s actually 4 and not -4 so 4x2= 8 and 8+7=15
Answer:
h = 
cm
Step-by-step explanation:
The radius, height h and slant height form a right triangle.
radius r = 8 ÷ 2 = 4, hypotenuse = 10
Using Pythagoras' identity in the right triangle
h² + 4² = 10²
h² + 16 = 100 ( subtract 16 from both sides )
h² = 84 ( take the square root of both sides )
h = cm
