Answer:
P = 48 feet
A = 84 square feet
Step-by-step explanation:
use the Pythagorean Theorem 2 times to find the bases of the two triangles created by the height of eight
1st Δ : one leg is 8 and the hypotenuse is 10
a² + 8² = 10²
a² + 64 = 100
a² = 36
a = 6
2nd Δ : one leg is 8 and the hypotenuse is 17
b² + 8² = 17²
b² + 64 = 289
b² = 225
b = 15
Perimeter = 10 + 17 + 6 + 15 = 48 ft
Area = 1/2(8)(6 + 15) = 4(21) = 84 sq ft
Callie will have $104.12 less than what she earned each month.
<h3>What are Rational Numbers ?</h3>
A number which can be represented in the form p/q where q ≠ 0 are called Rational Numbers.
The complete question is
Callie was billed $416.48 for car repairs. She will pay the service center in 4 equal monthly installments from her bank account.
What is the net change in her bank account balance after each monthly payment? The net change to Callie’s bank account is -$416.48.
The negative sign indicates money leaving Callie’s account. Which rational number represents the number of months that Callie has to pay off the bill? What does the sign on the number mean?
Write an expression to represent the net change to Callie’s account balance each month.
The number of months Callie has to pay the bill is for 4 months, as there are 4 equal installments
The net change in account in Callie's Account balance each month is
-$416.48 / 4 = -$104.12.
The (-) sign indicate the reduction of the net balance from her account.
Callie will have $104.12 less than what she earned each month.
To know more about Rational Number
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This proof was correctly started by both eric and maggie.
The next step in the proof is to set the right side of the equations equal.
This would be done by the transitive property of equality.
<h3>What is a Mathematical Proof?</h3>
This refers to the use of inference to make an argument to show the logical conclusion to a set of assumptions.
Based on the given diagram that shows Triangle XYZ and the mathematical proof that both Eric and Maggie are trying to prove, they both give the correct proof and the next step was to make the right side of the equations equal.
Read more about the law of sines here:
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2-2a+2b+2c? Really, just start with one number/variable and apply multiplication, addition, or subtraction to it as you move towards the right.
Answer:
102
Step-by-step explanation:
Since we know that the numbers are two consecutive even numbers, we can write an equation like this where n represents the 2 numbers.
n + (n+2) = 206
Simplify the left side:
n + (n+2) = 206 -----> 2n+2 = 206
Subtract 2 from both sides:
2n = 206-2 -----> 2n = 204
Now divide 204 by 2:
n = 204/2 -----> n = 102
