Answer:
11700 mm²
Step-by-step explanation:
A rectangle is a quadrilateral with two equal, opposite and parallel sides. Each of the angles in a rectangle is 90°.
The horizontal distance of the rectangle = r + r + r + r = 4r
The vertical distance = r + h + r = 2r + h
Where h is the distance between the midpoint of the 2 up circles and the midpoint of the down circle.
Using Pythagoras:
(2r)² = h² + r²
h² + r² = 4r²
h² = 3r²
h = √3r²
h = r√3
Vertical distance = 2r + h = 2r + r√3
Area of rectangle = vertical distance * horizontal distance
Area = 4r * (2r + r√3) = 8r² + 4r²√3 = 4r²(2 + √3)
Substituting:
Area = 4r²(2 + √3) = 4(28²)(2 + √3) = 11703.711 mm²
Area = 11700 mm² to 3 s.f
Answer:
<h2>112°</h2>
Step-by-step explanation:
Angle 8 will also be 112° because both of them( Angle 2 and Angle 8) are exterior alternate angles and exterior alternate angles are always equal.
So Angle 8 = 112°
Answer:
214.
Step-by-step explanation:
To get Surface area take
(cross section area) × 2 +(perimeter of crossection area × length)
the cross section area is a triangle
so area of a triangle =1/2 base times height
1/2×8×2=8
let's get perimeter of cross section
the cross section is still at triangle so let's find its perimeter.
5+5+8=18
18×length of which is 11
18×11=198
and 188 + 16=214. that's the answer
maybe you can get a expression from the work that I've just done cuz I can't see the answers clearly in the picture you have taken.if you don't mind just send the picture back then I'll get the answer.
Answer:
66 pounds of tomatoes
Step-by-step explanation:
A recipe code lasagna calls for 3 pounds of tomatoes to serve 5 people. A caterer wants to make enough lasagna to serve 110 people. How many pounds of tomatoes does he neeed
From the above question:
5 people = 3 pounds of tomatoes
110 people = x pounds of tomatoes
Cross Multiply
5 people × x pounds = 110 people × 3 pounds
x pounds = 110 people × 3 pounds/5 people
x pounds = 66 pounds of tomatoes
Answer:
Option 3
Step-by-step explanation:
Given inequality is,

To find the solutions of the given inequality solve this inequality first.


This inequality will be represented by an arrow starting from 7 and directing towards infinity.
Since, inequality is having a sign notation of greater than equal to, arrow will start with a dark circle located at 7.
Therefore, Option 3 (from the top) will be the answer.