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Len [333]
3 years ago
5

What is the least common múltiple of 30 and 13

Mathematics
2 answers:
Crazy boy [7]3 years ago
5 0
The least common multiple of 30 and 13 is 390 !
SSSSS [86.1K]3 years ago
4 0

Answer:

390

Step-by-step explanation:

131 × 21 × 31 × 51 = 390

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What is the length of the shortest altitude in a triangle, if the lengths of the sides are 24 cm, 25 cm, 7 cm?
AfilCa [17]

Answer:

The shortest altitude is 6.72 cm

Step-by-step explanation:

Given that the side lengths are

24 cm, 25 cm, 7 cm

The area of a triangle =

A = \sqrt{s \cdot (s-a)\cdot (s-b)\cdot (s-c)}

Where;

s = Half the perimeter = (24 + 25 +  7)/2 = 28

A = √((28×(28 - 24)×(28 - 25)×(28 - 7)) = 84 cm²

We note that 84/7 = 12

Therefore, the triangle is a right triangle with hypotenuse = 25, and legs, 24 and 7, the height of the triangle = 7

To find the shortest altitude, we utilize the formula for the area of the triangle A = 1/2 base × Altitude

Altitude  = A/(1/2 ×base)

Therefore, the altitude is inversely proportional to the base, and to reduce the altitude, we increase the base as follows;

We set the base to 25 cm to get;

Area of the triangle A =  1/2 × base × Altitude

84 = 1/2 × 25 × Altitude

Altitude = 84/(1/2 × 25) = 6.72 cm

The shortest altitude = 6.72 cm.

4 0
2 years ago
A square rug is 11m^2 the bedroom for the rug is 4m by 5m will the rug fit? Explain why
vekshin1

Yes it will fit

Step-by-step explanation:

the square rug is 11m^{2}

so each side is \sqrt{11m^{2} } =3.31m

and the bedroom is 4m*5m

so it will fit

6 0
3 years ago
Read 2 more answers
What is 4(x 2) = 48 simplified?
Nookie1986 [14]
4(x 2)=48
4x+8=48
4x=40
x=10
6 0
3 years ago
If the probabiliyt of nature 1 is 0.4 and the probability of nature 2 is 0.6, which alternative should be chosen?
Liono4ka [1.6K]
Should be chosen the bigger propability
0,6>0,4 
8 0
3 years ago
What is the slope of a line that is parallel to the line shown on the graph?​
SSSSS [86.1K]

Answer:

I'm 98% sure its c. 1/4

Step-by-step explanation:

in order for a line to be parallel to another they have to be on different y intercepts but have the same slope causing them to never intersect.

the slope of the graph on the line is 1/4 because of rise over run

7 0
3 years ago
Read 2 more answers
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