1) m∠1 = 360°/8 = 45° . . . . . a regular octagon is 8-way rotationally symmetrical, so each sector is 1/8 of a circle.
2) m∠2 = (180° -45°)/2 = 67.5° . . . . . . the angles of a triangle add to 180°. The base angles of an isosceles triangle are equal.
Answer:
The answer to your question is:
x 1 = -0.65
x2 = 7.65
Step-by-step explanation:
Equation -x² + 7x + 5 = 0
a = -1
b = 7
c = 5
Quadratic formula x = -b ±√(b² -4ac) / 2a
x = - 7 ± √(7² -4(-1)(5) / 2(-1)
x = -7 ± √(49 + 20) / -2
x = -7 ± √69 / -2
x = - 7 ± 8.3 / -2
x1 = -7 + 8.3 / -2 x2 = -7 -8.3 / -2
x 1 = -0.65 x2 = 7.65
Answer:the equation is 200 + 10x
Step-by-step explanation:
The formula for simple interest is expressed as
I = PRT/100
Where
P represents the principal or initial amount deposited into the account.
R represents interest rate on the principal
T represents time in years
I = interest after t years
From the information given
T = x years
P = $200
R = 5%
Therefore
I = (200 × 5 × x)/100
I = 1000x/100
I = 10x
Therefore, the equation representing the total amount of money that would be in the account after x years would be
200 + 10x
For this case we have the following equation:
an = a1 + (n - 1) • d
Where,
a1 = 57
d = 66-57 = 9
For the term number 250 we have:
n = 250
Substituting the values:
a250 = 57 + (250 - 1) * 9
a250 = 2298
Answer:
D.2298
The answer to the above math expression is . See the computation below.
<h3>What is the calculation justifying the above?</h3>
First we solve for the numerator. The numerator is:
7√2 - 2√16
Where:
7√2 = 9.89949493661; and
2√16 = 8
Hence,
7√2 - 2√16 = 1.89949493661
Next we solve for the denominator. This is given as:
3√8=8.48528137424
Hence,
(7√2 - 2√16)/3√8 = 1.89949493661/8.48528137424
= 0.22385762508
0.224
Learn more about math expressions:
brainly.com/question/4344214
#SPJ1
