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mixer [17]
3 years ago
7

Point Tis on line segment SU. Given TU = 4x + 1, SU = 8, and ST = 3x,

Mathematics
1 answer:
Harrizon [31]3 years ago
4 0

Answer:

5 units

Step-by-step explanation:

If point T is on the line segment SU, then ST + TU = SU.

Given

TU = 4x + 1

SU = 8

ST =  3x

To get TU, we need to get the value of x first. To get x, we will substitute the given parameters into the formula;

3x+4x+1 = 8

7x+1 = 8

subtract 1 from both sides

7x+1-1 = 8-1

7x = 7

divide both sides by 7

7x/7 = 7/7

x = 1

Substitute x = 1 into the length TU

Since TU = 4x+1

TU = 4(1)+1

TU = 5

Hence the numerical length of TU is 5 units

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In how many ways can we pick three different numbers out of the group
ELEN [110]

i will bite - this is not a complete ans but an approximation:

there are 100*99*98 ways to pick 3 different no. out of 100

if 2 of the no. picked are >10, then there is no way the third no. can be larger than the products of the other 2 nos.

there are 90*89*98 ways to pick 2 nos between 10 and 100 and a third no. between 1 and 100.

So an approximate ans = 100*99*98 - 90*89*98 = 185220 but the actual ans will be smaller than this.



4 0
3 years ago
Container A is cylinder with a radius of 10 units and a height of 10 units. A right cone has been carved from its base and has a
sergij07 [2.7K]

Answer:

Step-by-step explanation:

The formula for determining the volume of a cylinder is expressed as

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Where

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h represents the height of the cylinder.

From the information given,

Height = 10 units

Radius = 10 units

Volume = π × 10² × 10

The formula for determining the volume of a cone is expressed as

Volume = 1/3πr²h

Height = 10 units

Base = 10 units

Volume = 1/3 × π × 10² × 10

Since the cone has been carved from the cylinder, the statement that derives the formula to find the volume of container B is

π × 10² × 10 - 1/3 × π × 10² × 10

7 0
3 years ago
Can someone please help me with the last 3
mash [69]

Answer:

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Step-by-step explanation:

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3 years ago
Algebra 2. Please help! I got 40% on my last try
bixtya [17]
Maybe third one ( -2 -8)
3 0
2 years ago
Read 2 more answers
Please help and show work if you can​
laila [671]

Answer:

25. a = 60

26. a = 17

Step-by-step explanation:

In these two problems we are going to use a property of parallelograms that says: opposite angles have equal measure

so we have

25.

6a+10=130\\\\6a=130-10\\\\6a=120\\\\a=60

and for 26 we have

4a-4=2a+30\\\\4a=2a+30+4\\\\4a=2a+34\\\\4a-2a=34\\\\2a=34\\\\a=17

6 0
3 years ago
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