Notice that based on the diagram, all of the sides of the triangle are the same length. (The dashes on the sides of the triangle show that the sides are of congruence.) This means that the triangle is an equilateral triangle. An important thing to note about equilateral triangles is that they all have angles of 60°. All angles in equivalent triangles are 60°.
This means that we can set 
equal to 60 to solve for 
:
Our answer is x = 9.
a + b + c = 30 ;
a = 6c ;
a = 2b ;
Then, c = a / 6 and b = a / 2 ;
a / 6 + a / 2 + a = 30 ;
a / 6 + 3a / 6 + 6a / 6 = 180 / 6 ;
10a = 180 ;
a = 18 ;
b = 9 ;
c = 3.
Good luck !
Answer:
[you need 343 1 inch cubes]
Step-by-step explanation:
A foot has 12 inches. So if the edge length is 7/12 of a foot, that means that the edge length is 7 inches.
——————
[volume of a cube if the edge length is L, is L x L x L or L cubed]
A one inch cube has an edge length of 1. That means the volume of this cube is 1 x 1 x 1 = 1 inch cubed
——————
This big cube, has an edge length of 7 inches. So the volume is 7 x 7 x 7 = 343 inches cubed.
To find how many 1 inch cubes do you need to fill a 7 inch cube, you divide 343 by 1:
343/1=343 so you need 343 1 inch cubes.
Answer:
Step-by-step explanation:
3y+7=2x
3y=2x-7
y=(2/3)x-7/3
when parallel, the y=ax+b, the a keeps the same
so it‘s y=(2/3)x-a
and it pass (2,6), so 6=(2/3)*2 -a
6=4/3-a
-a=(18-4)/3
-a=14/3
a=-14/3
To solve this, we use the z test.
The formula:
z = (x – u) / s
where x is sample value = 20, u is the mean = 15, and s is
the standard deviation = 2.5
z = (20 – 15) / 2.5
z = 2
Since we are looking for values greater than 20, this is
right tailed test. We use the standard distribution tables to find for P.
P = 0.0228
Therefore:
number of students = 100 * 0.0228 = 2.28
<span>2 to 3 students will get greater than 20 measurement</span>
