Answer:
70 - 5√10 ft²
Explanation:
Perimeter is the distance around a two-dimensional shape.
area of rectangle: length x width
Here given:
length: (3√2 + 4√5) ft
width: (-5√2 + 5√5) ft
Solve for perimeter:
length x width
(3√2 + 4√5) x (-5√2 + 5√5)
<u>apply distributive method</u>
(3√2)(-5√2) + (3√2)(5√5) + (4√5)(-5√2) + (4√5)(5√5)
<u>multiply</u>
-15(2) + 15√10 -20√10 + 20(5)
<u>combine</u>
-30 -5√10 + 100
<u>simplify</u>
70 - 5√10
Answer:
1920 men are there in college.
Step-by-step explanation:
Given the statement: At a certain college, the ratio of men to women is 6 to 5. If there are 3520 total students.
Ratio states that it is just a comparison between, or a relating of, two different things.
i.e a to b or a: b
Ratio of men to women:
Men : Women = 6: 5
Let x be the number.
Total number of Men in college = 6x and Total number of women = 5x
Since, total number of students = 3520
⇒
Combine like terms;
11x = 3520
Divide by 11 on both sides we get;
x = 320
Therefore, total number of men in college = 6x = 6(320) = 1920
Answer:
x = 11°
Step-by-step explanation:
The parallel lines suggest we look to the relationships involving angles and transversals. The angle marked 33° and ∠CAB are alternate interior angles, hence congruent:
∠CAB = 33°
5x is the measure of the external angle opposite that internal angle and angle 2x of ΔABC, so it is equal to their sum:
5x = 2x + 33°
3x = 33° . . . . . . . . . subtract 2x
x = 11° . . . . . . . . . . . divide by 3
Answer:360/90 = 4
Total area = 4 times that of the sector.
Step-by-step explanation:
A 90 deg sector has 1/4 the area of the circle.
Total circle area = 4*9pi = 36pi
