Answer:
m∠B = 31°
Step-by-step explanation:
First, find the measure of angle ACB by subtracting its supplement from 180 degrees:
180 - 113 = 77
m∠ACB = 77°
Then subtract both m∠A and m∠ACB from 180 degrees, since the interior angles of a triangle always add to 180°:
m∠B = 180° - 72° - 77°
m∠B = 31°
Answer:
Given the statement: Crater Lake in Oregon in shaped like a circle with a diameter of about 5.5 miles.
Area of circle is given by:
where
A represents the area of a circle
d represents the diameter of a circle.
then;
It is given that Surface of Crater lake is shaped like a circle.
Substitute the given values, we have;
Area of a circle = 
= 
square miles
therefore, the area of a surface of a crater lake is, 23.74625 square miles.
Answer:
210
Step-by-step explanation:
10+10+1=21
21 x 10=210
Answer:
517,262
Step-by-step explanation:
A population of butterflies grow in such a way that each generation is simply 1.5 times the previous generation. There were 350 butterflies in the first generation, how many will there be by the 19th generation?
----------------
Ans: (1.5)^18 * 350 = 517,262
Answer: The product of (3x+7) and (x-7) equals 3x^2 + 28x + 49
Step-by-step explanation:
To find the product of (3x+7) and (x-7) means to multiply both variables: To multiply both variables, we first multiply 3x by the expression, x - 7, then multiply 7 by the expression, x - 7.
(3x × x) +( 3x × 7) + (7 × x) + ( 7 × 7)
= 3x^2 + 21x + 7x + 49
= 3x^2 + 28x + 49
