Answer:
D
Step-by-step explanation:
Solve for X:
3x-8≥7
3x≥15
x≥5
Any value of x is greater than or equal to 5
This is represented by answer D
Answer:
61°
Step-by-step explanation:
Alright so the total amount of degrees in a 5-sided shape or pentagon is 540°. Since we have four of the five total angles, we can solve for the last one.
Sum of all the degrees of all five angles = 540°
The variable x is representing our last unknown degree.
90° + 107° + 144° + 138° + x° = 540°
Add up all the known degrees and solve for x.
479° + x° = 540°
Subtract 479 on both sides so that we can isolate x.
479° + x° - 479° = 540° - 479°
x° = 61°
So our final answer is 61°
The given area of the shape of 57.8·π cm², and length of the slant sides
being a factor of the radius, gives the length of the radius as <u>3.4 cm</u>.
<h3>How can the length of the radius be calculated?</h3>
Given;
Radius of the two cones are equal.
Slant height of one cone = 2 × Radius
Slant height of the other cone = 3 × Radius
Surface area of the shape = 57.8·π cm²
The curved surface area of a cone = π·r·l
Required:
The radius of the cone.
Solution;
Surface areas of the cones are therefore;
π·r × 2·r, and π·r × 3·r
The total surface area is therefore;
π·r × 2·r + π·r × 3·r = 57.8·π
5·r²·π = 57.8·π
Which gives;
r² = 57.8 ÷ 5 = 11.56
r = √(11.56) = 3.4
- The radius of the cones, r =<u> 3.4 cm</u>
Learn more about finding the surface area of 3-D shapes here:
brainly.com/question/15635229
1 3/5 cans of tomatoes are used in each quart of the sauce
