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3 years ago

U need to find the area

Mathematics

1 answer:

boyakko [2]3 years ago

5 0

Answer:

Step-by-step explanation:

1/2 times the sum of the // lines times the height ( Area of a trapezium )

1/2(1+6)(12)

=42

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Select all pairs of numbers that have a least common multiple of 30.

ddd [48]

5 and 6 and 3 and 10, the pairs of numbers that have a least common multiple of 30.

Step-by-step explanation:

Case 1: LCM (3, 6)

Prime factorization of 3: $1 \times 3$

Prime factorization of 6: $2 \times 3$

Using all prime numbers found as often as each occurs most often we take

$2 \times 3=6$

Therefore LCM (3, 6) = 6.

Case 2: LCM (5, 6)

Prime factorization of 5: $1 \times 5$

Prime factorization of 6: $2 \times 3$

Using all prime numbers found as often as each occurs most often we take

$5 \times 2 \times 3=30$

Therefore LCM (5, 6) = 30

Case 3: LCM (3, 10)

Prime factorization of 3: $1 \times 3$

Prime factorization of 10: $2 \times 5$

Using all prime numbers found as often as each occurs most often we take

$5 \times 2 \times 3=30$

Therefore LCM (3, 10) = 30

Case 4: LCM (5, 10)

Prime factorization of 5: $1 \times 5$

Prime factorization of 10: $2 \times 5$

Using all prime numbers found as often as each occurs most often we take

$5 \times 2=10$

Therefore LCM (5, 10) = 10

8 0

3 years ago

George and Carmen went on a bicycle trip. They took a bus to their starting point and then biked the rest. They traveled 350 kil

wlad13 [49]

Total distance covered by George and Carmen
x + y = 350
And they biked 80 kilometers more than they bussed
80 + y = x 
Putting the value of x=80 + y in x + y = 350:
We get:
80 + y + y = 350 
2y = 270 
y = 135 km

Substituting y = 135 in x + y = 350 
x + 135 = 350
x = 215 km 

Thus George and Carmen biked for 215 km and bussed for 135 km.

4 0

3 years ago

Peter is trying to buy fencing for the perimeter of his garden. His garden is in the shape of a rectangle with a length of 2(x+6

RideAnS [48]

Given dimensions of a rectangular garden are:

length = 2(x+6) feet

width = 3.5x feet

using the distributive property on length we get, length = 2x+12

Perimeter of a rectangle is 2(length+width)

So, P = 2(2x+12+3.5x)

Solving it we get,

P = 2(5.5x +12) ..............adding like terms

P = $(2\times5.5)+(2\times12)$ .............multiplying and adding

P = 11x+24

So, perimeter is 11x+24 feet. This value of fencing will be needed.

4 0

3 years ago

There are 48 different animals pictured in Jorge's book. If 1/3 of them are herbivores how many herbivores?

Stolb23 [73]

16. 48 divided by 3 is 16

8 0

2 years ago

Read 2 more answers

Nathan has three pieces of wood the first is 9.8 feet in length the second is 7.5 feet in length and the third is 12 feet in len

snow_tiger [21]

9.4 Ft for the first one

7.5 Ft for the second piece

12 Ft for the Third

he uses 5.2 Ft from the first piece of wood so 9.4 - 5.2= 4.6ft
he uses 6.1 ft from the second piece of wood , 7.5 - 6.1 = 1.4 ft
Nathan didnt use any of the 3rd piece of wood , so he still have 12 Feet of wood remaining so, 12+4.6+1.4 = 18 feet of wood left that he didnt use.

8 0

3 years ago