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san4es73 [151]
3 years ago
10

What are the distinct factors of 40

Mathematics
1 answer:
CaHeK987 [17]3 years ago
5 0
The factors include 1,2,4,5,8,10,20,40.
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6s is less than -180
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3 years ago
What is m<efh =(5×+1)°,m<hfg =62° and m <efg = (18×+11)°, find each measure.​
Naddik [55]

Answer:

m\angle efg=21\°\\\\m\angle hfg=62\°\\\\m\angle efg=83\°

Step-by-step explanation:

Given:

m\angle efh=5x+1\\m\angle hfg=62\\m\angle efg=18x+11

Now, from the figure shown below,

The sum of angle efh and angle hfg is equal to the angle efg. This is true because of the angle addition postulate which states that when two angles are formed with the same vertex and different sides, then their sum is equal to the total angle made by both the sides at the vertex.

Here, point 'f' is the vertex and the sides are 'ef and 'fg'.

Therefore,

m\angle efh+m\angle hfg=m\angle efg

Plug in their values and solve for 'x'. This gives,

5x+1+62=18x+11\\5x+63=18x+11\\18x-5x=63-11\\13x=52\\x=\frac{52}{13}=4

Therefore, the angle measure of each are:

m\angle efg=5x+1=5(4)+1=20+1=21\°\\\\m\angle hfg=62\°\\\\m\angle efg=18x+11=18(4)+11=72+11=83\°

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4 years ago
A prism is completely filled with 2304 cubes that have edge length of 1/4 cm what is the volume of the prism
Tomtit [17]

Since the prism completely filled with 2304 cubs

Since the edge of the cube is 1/4 cm

Since the volume of the cube = edge x edge x edge

Then find the volume of 1 cube, then multiply it by the number of cubes to find the volume of the prism

V_c=\frac{1}{4}\times\frac{1}{4}\times\frac{1}{4}=\frac{1}{64}cm^3

Multiply it by 2304

V_P=2304\times\frac{1}{64}=36cm^3

The volume of the prism is 36 cm^3

3 0
1 year ago
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