Answer:
78.42
Step-by-step explanation:
Area of 360 - 80 degree region.
You need to find out the region of the major arc where the circle is almost complete. The area left over will be calculated later
Angle = 360 -80
Angle = 280 degrees.
Area = 
Area = 
Area = 23800/360
Area = 66.11
Area of the Triangle with sides of 5 cm each
Here's where I get into a bit of trouble. I have to assume you know some trig.
Find the height
Cos(40) = The height / the hypotenuse
Cos(40) = h/5
0.7760 = h/5
h = 0.7760*5
h = 3.830
Find 1/2 the base (the chord of the circle)
Sin(40) = 1/2 base / hypotenuse
Sin(40) = 1/2 b / 5 Multiply both sides by 5
1/2 b = 5*sin(40) Find the sin(40)
1/2 b = 5*.6428 Combine the right
1/2 b = 3.139 multiply by 2
b = 6.4278
Find the area of the triangle
Area = 1/2 b * h
b = 6.4278
h = 3.830
Area = 1/2 * 6.4278*3.830
Area = 12.31 cm^2
Total Area
12.31 + 66.11 = 78.42
Answer:
The sea lion dives 24 feet.
Step-by-step explanation:
A seal (S) dives 15 feet.
A sea lion (SL) dives 6 feet less than 2 times the seal's dive. That can be expressed as:
SL = 2S -6
Since we know S = 15, we can say:
SL = 2*(15) - 6
SL = 24 feet
The sea lion dives 24 feet.
Answer:
It would be 7p, 4p + 3p, and 5p + 2p
Step-by-step explanation:
Overall there is 7 p's
4 + 3 = 7 and 5 + 2 = 7
Unless there is more information, those are the answers.
Answer:
number of math problems = 26
number of science problem = 16
Step-by-step explanation:
a total of 42 math and science problems for homework
Let m be the number of math problems and 's' be the number of science problems
You have 10 more math problems than science problems
substitute s+10 for m in the first equation
subtract 10 from both sides
divide both sides by 2
number of math problems = 26
number of science problem = 16
Answer:
All represent the three sides of the triangle.
Step-by-step explanation:
The question seeks to test your knowledge of the Triangle Inequality Theorem.
The Triangle Inequality Theorem states that the summation of any 2 sides of a triangle must be greater than the measure of the third side.
Note: This rule must be satisfied for all 3 conditions of the sides.
The answer is all can represent the three sides of the triangle.
Options (6 cm, 22 cm, 10 cm), (7 cm, 25 cm, 11 cm), (9 cm, 22 cm, 11 cm) and (10 cm, 14 cm, 23 cm) satisfies the Triangle Inequality Theorem and all represent the three sides of the triangle.
