The reason why the far eastern diplomat was at the north pole was : he got disoriented To travel in the past, people in the past rely on stars and compass. But due to electromagnetic phenomenon, the compass tend to not functioning properly and make it really difficult to actually find out the correct path
We know that
the axis is equal to the diameter of a sphere
so
D=14 units
r=D/2-----> r=7 units
<span>the surface area of the sphere=4*pi*r</span>²------> 4*pi*7²=196*pi units²
the answer is the option
<span>C. 196 pi units^2</span>
Answer:
Step-by-step explanation:
Q1
<u>Angles</u>
- 26° & 64° & 90°
- AA similarity
Q2
<u>Ratios of corresponding sides:</u>
- 6/8 = 9/12 = 12/16 ⇒ 3/4
- SSS similarity
Q3
<u>Angle C is vertical</u>
<u>Ratios of corresponding sides:</u>
- 9/15 = 18/30 ⇒ 3/5
- SAS similarity
Answer:
304m^2
Step-by-step explanation:
First find the surface area of the base by multiplying the length by the width.
(12m) (8m)= 96m^2
Second, find the surface area of the front and back triangles using the formula <em>1/2 (base) (height)</em>. Use the length for the base.
1/2 (12m) (10m)= 60m^2
Next, find the surface area of the side triangles using the formula <em>1/2 (base) (height). </em>Use the width as the base.
1/2 (8m) (11m)= 44m^2
Last, add the surface area of each section. Make sure you add the area of each face.(we only solved for 1 of the front/ back triangles and 1 of the side triangles) To make it easier to understand I wrote out an equation to show how I added the surface areas.
base=a, front/ back triangles= b, side triangles=c
SA= a + 2b +2c or SA= a +b +b +c +c
Using one of the equations above solve for the total surface area.
SA= (96m^2) + (60m^2) +(60m^2) +(44m^2) +(44m^2)
or
SA= (96m^2) + 2(60m^2) +2(44m^2)
SA= (96m^2) +(120m^2) +(88m^2)
SA= 304m^2
Step-by-step explanation:
Equations:
Quantity:: d = n + 3
Value::: 10n + 5d = 615 cents
-------------------------------------------
Modify::
d - n = 3
d + 2n = 123
--------------------------------------------
Subtract and solve for "n"::
3n = 120
n = 40 (# of nickels)
d = n+3 = 43 (# of dimes)
