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2 years ago

I will mark BRAINLIEST for the right and well explained answer!

Mathematics

2 answers:

Mademuasel [1]2 years ago

7 0

The three interior angles of any triangle add to 180 degress. Therefore,

180-(120 + 40) = the third angle.

So, 20 is the third angle

vlabodo [156]2 years ago

3 0

Answer: 20°

Step-by-step explanation:

1. B = 120°, C = 40° 1. Given

2. A + B + C = 180° 2. Triangle Sum Theorem

3. A + 120° + 40° = 180° 3. Substitution Property

4. A + 160° = 180° 4. Simplify (added like terms)

5. A = 20° 5. Subtraction Property of Equality

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Find principal of a loan at 11% for 5 years with $426.25 simple interest

Ahat [919]

Answer:

$P=775$

Step-by-step explanation:

The Simple Interest Equation is $A = P(1 + rt)$

where

A = Total Accrued Amount (principal + interest)

P = Principal Amount

I = Interest Amount

t = Time Period involved in months or years

In this case, we do not know the values of the equation (A and P), but we know the amount of interest accrued

If we define our principal whit this formula, we are able to know the rest of the values:

$A-P= interest$

clearing

$A=interest+P$

replacing

$426.25 + P = P (1+(0.11(5))$

Solving

$426.25+P=1.55P$

$P-1.55P=-426.25$

$-0.55P=-426.65$

$P=\frac{-426.25}{-0.55}$

$P=775$

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The dog is able to run around in a circle with a radius of9 ft.

The area of a circle is A = pi r^2

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A= (3.14)(81)
A= 254.34 sq ft

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