Answer:
Step-by-step explanation:
5x + 2 = 4x - 9
Collecting like terms
5x - 4x = -9 - 2
x = -11
78.00 = 59.99+0.10x
10.01=0.10x
x= 180.1 so she can send 180 texts plus the 100 free ones for a total of 280 texts
double check: 180 x 0.10 = 18.00 + 59.99 = 77.99
Answer:
D
Step-by-step explanation:
The area of a circle can be found using:
a=πr^2
We know that the radius is 10 meters. Therefore, we can substitute 10 in for r.
a=π*10^2
Evaluate the exponent
a=π*100
Multiply pi and 100
a=314.159265359
Round to the nearest tenth: there is a 5 in the hundreth place, which indicates we round up the 1 in the tenths place to a 2.
a=314.2
The area is 314.2 square meters, or choice D
Given tangent, ZN, to the circle and the arc 
= 280°, we have that
the angle formed by the chord BZ and the tangent ZN, ∠BZN is 50°
<h3>Which method can be used to find ∠BZN?</h3>
The given parameters are;
A tangent to the circle O = ZN
Required:
Angle ∠BZN
Solution;
Please find attached the drawing of the circle and tangent
From the drawing, we have;
∠BOZ = 360° - 280° = 80°
ΔBOZ is an isosceles triangle, which gives;
∠BZO = ∠ZBO
∠OZN = 90° (by definition of a tangent)
∠OZN = ∠BZO + ∠BZN
∠BZN = ∠OZN - ∠BZO
Which gives;
∠BZN = 90° - 40° = 50°
- The measure of angle ∠BZN =<u> 50°</u>
Learn more about tangents to a circle here:
brainly.com/question/14561226
Answer:
A(n) = 5.1×n + 4.5
Step-by-step explanation:
A(n) = A(n-1) + 5.1
A(1) = 9.6
A(n) - A(n-1) = 5.1 ,where n ≥ 1
This means that (A(n)) is an arithmetic sequence where :
<u>The common difference</u> r = 5.1
and
<u>The first term</u> A(1) = 9.6
Therefore
A(n) = A(1) + (n - 1)×r
= 9.6 + (n - 1)×5.1
= 9.6 + 5.1×n - 5.1
= 5.1×n + (9.6 - 5.1)
= 5.1×n + 4.5
