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1 year ago

In the diagram below, what is the relationship between the number of triangles and the perimeter?

Mathematics

1 answer:

Eduardwww [97]1 year ago

3 0

The perimeter "P" is equal to the length of the base of one triangle multiplied by the "n" number of triangles in the figure plus two times the length of another side. The equation for the perimeter is P = 5n + 14.

We are given triangles. The triangles are arranged in a certain pattern. The length of the base of each triangle is equal to 5 units. The length of the other two sides is 7 units each. We conclude that all the triangles are isosceles. We need to find the relationship between the number of triangles and the perimeter of the figure. Let the perimeter of the figure having "n" number of triangles be represented by the variable "P".

P(1) = 14 + 5(1)

P(2) = 14 + 5(2)

P(3) = 14 + 5(3)

We can see and continue the pattern. The relationship between the perimeter and the number of triangles is given below.

P(n) = 14 + 5n

To learn more about perimeter, visit :

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Which simplified ratio correctly compares 30 inches to 2 feet?

Serggg [28]

Answer:

5:4

Step-by-step explanation:

There are 12 inches in one foot, so there are 24 inches in 2 feet.

Therefore, the ratio that compares 30 inches to 2 feet is the ratio that compares 30 inches to 24 inches.

This is

$30\ :\ 24$

Simplify it:

$30\ :\ 24=\dfrac{30}{24}=\dfrac{6\times 5}{6\times 4}=\dfrac{5}{4}=5\ :\ 4$

4 0

2 years ago

Dr.Lamb is mixing a solution for his next patient. He has a cylindrical test tube which is 4 inches across on the inside. The de

SSSSS [86.1K]

Answer: There are 34.35 liters left in the test tube.

Step-by-step explanation:

Since we have given that

Depth of the tube = 9 inches

Circumference of base=4 inches

As we know the formula of circumference ,

$Circumference=2\pi r\\\\4=2\times \frac{22}{7}\times r\\\\4\times{7}{22\times 2}=r\\\\\frac{7}{11}=r$

Now, we need to find the volume of tube is given by

$\text{ Volume of test tube }=\pi r^2h\\\\\text{ Volume of test tube }=\frac{22}{7}\times \frac{7}{11}\times \frac{7}{11}\times 9\\\\\text{ Volume of test tube }=\frac{126}{11}=11.45\ inches^3$

Since we have also given that,

Of 1 cubic inch of space holds 3 liters of water,

So,

$1\text{ cubic inch}=3\text{ liters}\\\\11.45\text{ cubic inches}=3\times 11.45=34.35\text{ liters}$

Hence, there are 34.35 liters left in the test tube.

6 0

2 years ago

I need so much help

laiz [17]

Question (1):

Price last week = $6.00
Price this week = $7.20

Increased = $7.20 - $6.00 = $1.20

Answer : Percentage increased = $1.20/$6.00 x 100 = 20%

Question (2):

Original Price = $90

Marked down = 35% of $90 = 0.35 x 90 = $31.50

Price after marked down = $90 - $31.50 = $58.50

Answer: Lilly will pay $58.50 for the football cleats.

6 0

3 years ago

Read 2 more answers

If y varies inversely as x and } = 3 when x = 4, then y

Andrews [41]

Answer:

FALSE

Step-by-step explanation:

If y varies inversely as x., this is expressed as;

y = k/x

k is the proportionality constant

when y = 3 and x = 4

3 = k/4

k = 3 * 4

k = 12

when x = 15;

y = k/x

y =12/15

y = 4/5

Hence y is not equal to 12 when x = 15.

The correct answer is FALSE

5 0

2 years ago

Three times a certain number is 45. What is the number?

andriy [413]

The answer is fifteen (15)
Hope this helps!

4 0

2 years ago