Answer:
4917
Step-by-step explanation:
<u>Given sequence: </u>
This is AP with common difference of 1, the first term of 42 and the last term of 107
<u>Number of terms:</u>
<u>Sum of the terms:</u>
- Sₙ= 1/2*66*(42+107) = 4917
<u>Answer is:</u> 4917
Note that the equation of the circle is
(x-h)² +(y-k)² =r²
where centre is (h,k)
the equation of the circle based on the information given
(x-3)² +(y-4)² =r²
and the point on the circle (3,-2)
substitute into the equation
(3-3)² +(-2-4)² =r²
r=6 or r=-6
since r is radius, we reject r=-6 since radius must be nonnegative.
the radius is 6
Answer:
x = 250°
Step-by-step explanation:
Inscribed angle = ½(intercepted arc measure) (inscribed angles theorem)
x is intercepted arc measure
125° is the inscribed angle
Therefore:
125° = ½(x)
Multiply both sides by 2
2*125° = x
250 = x
x = 250°
Answer:
Step-by-step explanation:
this is a question about two similar triangles , one is from Amelia , the other is the tree.
1.5/4 = x/12
solve for x
4.5 = x
the tree is 4.5 meters tall
Whenever you solve an equation with a single variable you need to isolate the variable by itself on one side of the equal sign. Just be sure that whatever operations you perform on one side you perform on the other sides as well.
62x=1 divide both sides by 62
x=1/62