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GrogVix [38]
3 years ago
9

Every set of three points is coplanar. a. True b. False

Mathematics
1 answer:
Ket [755]3 years ago
4 0
We know that 3 point can creating always a plane 

so from this result the right choice is A. so is true 
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Sing acts are 5 min long and comedy acts are 3 min long. The show has 12 acts and last 50 min. How many singing acts and how man
ryzh [129]

Answer

so there are 7 singing acts and 5 comedy acts.

Step-by-step explanation:

Let x= number of singing acts.

Let y= number of comedy acts.

We will take x+y=12 as our first equation, as there are 12 shows in total. We will take 5x+3y=50 as our second equation as there are 50 total minutes, and singing acts are 5 mins and comedy acts are 3 mins.

We solve x+y=12

Y=-x+12

We know y=-x+12, so we will substitute that for the y in the second equation.

1. Substitute 5x+3(-x+12)=50

2. Distribute 5x-3x+36=50

3. Solve 2x+36=50

2x=14

X=7

Now that we have found x, we will find y by substitute the x in 5x+3y=50 with the value, 7, that we found for x.

5(7)+3y=50

35+3y=50

3y=15

Y=5

6 0
3 years ago
Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at a rate of 65m
White raven [17]

Answer:

It will take them 1.4 hours.

Step-by-step explanation:

65 + 85 = 150

200 divided by 150 = 1.4

8 0
3 years ago
So the surface area is for the figure itself, and I just need to find the height. Please help!! (Geometry problem)
Harman [31]
We need to cut it up and find the areas of each
ok so base=a^2
back sides are a^2 and a^2
total we have a^2+a^2+a^2=3a^2

we have now the 4 triangles, 2 of which are identical
the  identical triangles are the side ones which are base a and height 1/2a
area of triangle=1/2bh
so the areas of them are 1/4a^2, times 2 since 2 of those triangles, 1/2a^2

add
3a^2+1/2a^2=7/4a^2

now the very top triangle and the cut corner triangle

very top is legnth a and base a so 1/2 a^2 is area
add
3 and 1/2a^2+1/2a^2=4a^2

we also need the small rectangles on side which is 1/2a times a times 2 since 2 of them=a^2 so a^2+4a^2=5a^2
now to find the corner bit in terms of a
use some imagination and lines to find legnths, right triangles and hypotonuse
the very top side is a√2 (45,45,90 angle/triangle)
we need to find slant height which is (a√6)/2

now
area=1/2bh
area=((a^2)√3)

add that
5a^2+(a^2)√3=250.5
find a
undistribute the a^2
(a^2)(5+√3)=501
use divide both sides by (5+√3)
a^2=501/(5+√3)
take squaer root of both sides
a= aprox 8.6267094364168 in

I hope this is right (should be, but alot done in head so maybe incorrect or off)

8 0
4 years ago
Erika had three pieces of ribbon . Each piece is 25 yards long. She needs to cut pieces that are 22 inches long . What is the gr
Kisachek [45]
B. 120 because you cant glue the ribbon together, simply multiply 25 by 3 multiply that by 12 divide that by 22 then multiply that by 3

4 0
3 years ago
Interest on an investment is considered what
Roman55 [17]

Answer:

investment interest expense is any amount of interest that is paid on loan proceeds used to purchase investments or securities. Investment interest expenses include margin interest used to leverage securities in a brokerage account and interest on a loan used to buy property held for investment

5 0
2 years ago
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