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3 years ago

An equilateral triangle has an apothem of 5 cm. Find the perimeter of the triangle to the nearest centimeter.

1 answer:

4 0

The apothem is the distance from which the altitudes of the triangle to one of its sides. It can be calculated through the equation below,
tan 30° = apothem / 0.5(length of side)
Substituting the known values,
tan 30° = 5 / 0.5x
The value of x from the equation above is 17.32. Multiplying this value by 3 (because a triangle has 3 sides), we get an answer of 51.96 cm or approximately equal to 52. Thus, the answer is letter B.

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The conversion rates between kilograms and pounds are: 1 k g ≈ 2.2 l b s 1 l b ≈ 0.454 k g A. How many kilograms is a backpack t

denis-greek [22]

Answer:

$6\ lb = 2.724\ kg$

$11\ kg = 24.2\ lb$

Step-by-step explanation:

Given

$1\ kg = 2.2\ lb$

$1\ lb = 0.454\ kg$

Required

- Convert 6 lb to kg

- Convert 11kg to lb

To solve for (a), we make use of the second conversion unit:

$1\ lb = 0.454\ kg$

Multiply both sides by 6

$6 * 1\ lb = 0.454\ kg * 6$

$6\ lb = 2.724\ kg$

Hence, a 6lb backpack weighs 2.724kg

Solving (b): 11 kg to lb

Here, we make use of the first conversion unit

$1\ kg = 2.2\ lb$

Multiply both sides by 11

$11 * 1\ kg = 2.2\ lb * 11$

$11\ kg = 24.2\ lb$

Hence, the cat weighs 24.2lb

3 0

3 years ago

You put $3000 in a CD (certificate of deposit) at the promotional rate of 5.6% simple interest. How long will it take to earn $3

PolarNik [594]

First take 5.6 percent of 3000. Which is 5.6/100×3000= 168.
336 divided by 168 is 2.

The final answer is 2 years

6 0

4 years ago

Which number produces an irrational number when added to 0.4

erastovalidia [21]

Answer:

0.31311311131111....

Step-by-step explanation:

We need to tell a number which when adds to 0.4 makes it a Irrational Number . We know that ,

Rational number :- The number in the form of p/q where p and q are integers and q is not equal to zero is called a Rational number .

Irrational number :- Non terminating and non repeating decimals are called irrational number .

Recall the property that :-

Property :- Sum of a Rational Number and a Irrational number is Irrational .

So basically here we can add any Irrational number to 0.4 to make it Irrational . One Irrational number is ,

$\rm\implies Irrational\ Number = 0.31311311131111...$

So when we add this to 0.4 , the result will be Irrational . That is ,

$\rm\implies 0.4 + 0.31311311131111 ... = 0.731311311131111 ..$

6 0

3 years ago

Read 2 more answers

Can someone pls help! I’m desperate

tia_tia [17]

Answer:

The number of children tickets sold was 610.

Step-by-step explanation:

Let

x ----> the number of adults tickets sold

y ----> the number of children tickets sold

we know that

x+y=1710 -----> equation A

50x+25y=70250 ----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

The solution is the point (1100,610)

therefore

The number of children tickets sold was 610.

4 0

3 years ago

How many cords of wood could you fit in a room that is 4 yards long 4 yards wide and 2 yards high?

Gennadij [26K]

Well it depends on how long, wide and high the cords of wood is

4 0

3 years ago