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1 year ago

Which triangle is possible?

Mathematics

1 answer:

guajiro [1.7K]1 year ago

7 0

Answer:

(a) 3 ft, 4 ft, 5 ft

Step-by-step explanation:

The triangle inequality requires the sum of the two short sides exceed the long side.

a) 3 ft + 4 ft = 7 ft > 5 ft . . . . . triangle is possible

b) 4 yd + 1 2/3 yd = 5 2/3 yd < 10 yd . . . . not a possible triangle

c) 3 ft + 3 ft = 6 ft < 7 ft . . . . not a possible triangle

d) 4 in + 4 in = 8 in . . . . not a possible triangle (not greater than 8 in)

The first set of side lengths can form a triangle: 3 ft, 4 ft, 5 ft.

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Write the prime factorization of each number then find the greatest common factor of the numbers 40, 48

DedPeter [7]

40= 1,2,4,5,8,10,20,40
48= 1,2,3,4,6,8,12,16,24,48
the gcf is 8.

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3 years ago

In the 2012 Paralympic Games, the total number of gold and silver medals won by Brazil was 35 The ratio of the number of gold me

Thepotemich [5.8K]

Answer:

the number of silver medals won by Brazil is 14

Step-by-step explanation:

The computation of the number of silver medals won by Brazil is shown below:

Given that

Total number of gold and silver medal wons by Brazil was 35

And, the ratio of number of gold medals to the number of silver medals be 3 : 2

Based on the above information

The number of silver medals won would be

= 35 × 2 ÷ (3 + 2)

= 35 × 2 ÷ 5

= 14

hence, the number of silver medals won by Brazil is 14

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2 years ago

Which list shows all the factors of 54? A. 1, 2, 3, 6, 9, 12, 18, 27, 54 B. 1, 2, 3, 6, 9, 18, 27, 54 C. 1, 2, 3, 6, 9, 18, 54 D

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Answer:

Step-by-step explanation:

Bc I have Big Brain and Google is nice

6 0

2 years ago

Read 2 more answers

Which equation represents the perpendicular bisector of the given line segment?

In-s [12.5K]

Answer:

Option D. $x=10$

Step-by-step explanation:

step 1

Find the midpoint of the given line segment

we know that

The formula to calculate the midpoint between two points is equal to

$M=(\frac{x1+x2}{2},\frac{y1+y2}{2})$

we have

$A(5,10),B(15,10)$

substitute the values

$M=(\frac{5+15}{2},\frac{10+10}{2})$

$M=(10,10)$

step 2

Find the equation of the perpendicular bisector

we know that

The equation of a perpendicular bisector is equal to the x-coordinate of the midpoint, because is a vertical line (parallel to the y-axis)

therefore

the equation is equal to

$x=10$

7 0

3 years ago

Read 2 more answers

A bus with kids and a truck with their bags started moving from the school to the camp at the same time. The speed of the bus wa

lyudmila [28]

The kids have to wait for 1 hour to get their bags.

Step-by-step explanation:

Given that,

A bus with kids and a truck with their bags started moving from the school to the camp at the same time.

The speed of the bus was 60 mph.
It took kids 3 hours to reach the camp.

To find the distance traveled by the bus :

⇒ Distance = Speed × Time

⇒ 60 × 3

⇒ 180 m

∴ The distance is 180 m.

To find the time taken by the truck to reach the camp :

The speed of the truck was 45 mph.
We found the distance as 180 m.

Time taken = distance / speed.

⇒ 180 / 45

⇒ 4 hours.

∴ The time taken by the truck to reach the camp is 4 hours.

To find how long the kids have to wait for their bags :

The time taken by the truck to reach the camp - the time it took for the kids to arrive.

⇒ 4 hours - 3 hours

⇒ 1 hour.

∴ The kids have to wait for 1 hour to get their bags.

7 0

2 years ago