Answer:
hope this will help you ( ◜‿◝ )♡
Step-by-step explanation:
lateral surface area of the solid=ph
=(a+b+c)*h
=(5+4+3)*15
=12*15
=180cm²
The awnser is F) This account earns 4% compounding interest.
Hope it helps :)
Answer:
Surface area is found:
Surface Area = 1700 cm²
Step-by-step explanation:
(The cereal box is shown in the ATTACHMENT)
The surface area of a rectangular prism can be found by added the areas of all 6 sides of the rectangular prism.
L = length = 20 cm
H = height = 30 cm
W = Width = 5 cm
Side 1:
A(1) = L×H
A(1) = 20×30
A(1) = 600 cm²
Side 2:
As the measurements of the side at the back of side 1 has the same measurement of side 1. then:
A(2) = 600 cm²
Side 3:
A(3) = L×W
A(3) = 20×5
A(3) = 100 cm²
Side 4:
As the measurements of the side at the back of side 4 has the same measurement of side 4. then:
A(4) = 100 cm²
Side 5:
A(5) = H×W
A(5) = 30×5
A(5) = 150 cm²
Side 6:
As the measurements of the side at the back of side 5 has the same measurement of side 5. then:
A(6) = 150 cm²
Surface Area:
Adding areas of all the sides
A(1) + A(2) + A(3) +A(4) + A(5) + A(6) = 600 + 600 + 100 +100 + 150 +150
Surface Area = 1700 cm²
Answer:
17.7
Step-by-step explanation:
This figure is a pentagon - a shape with 5 sides. In a pentagon, the figure's angles add to 540.
100 + 7x-4 + 3x + 23 + 9x - 6 + 90 = 540
190 +19x + 13 = 540
203 + 19x = 540
19x = 337
x = 17.7
Given two angles of a triangle, we can find the third one by subtracting what we have from 180:
180-63.2-75.9=40.9°. This means C is correct.
This also means that B is correct; if a triangle is equilateral, all angles must be congruent as well, which these are not.
Cross multiplying the proportion we have:
x*1 = 3(y-3)
1x = 3y - 9
Solving for y, we first cancel the 9 by adding:
1x+9 = 3y
Now we cancel the 3 by dividing:
1x/3 + 9/3 = 3y/3
1/3x + 3 = y
In this format, we can see that the slope (m) is 1/3 and the y-intercept (b) is 3.
Going by the directions for the points P, Q, R, and S, PQ would be parallel to SR and PS would be parallel to QR. These sides are not parallel to any other sides of this figure.
For the last problem, the vertices given do not form a parallelogram. There is only 1 pair of parallel sides using these points.