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3 years ago

The diagonals of a rhombus are 16 and 30. What is the perimeter

Mathematics

2 answers:

AnnyKZ [126]3 years ago

7 0

Answer: 68

Step-by-step explanation: Let's start this problem by drawing the picture of the rhombus which I have attached for you in the image provided.

A rhombus is a quadrilateral that has 4 congruent sides and the diagonals of a rhombus are perpendicular to each other. The diagonals of a rhombus bisect each other so the diagonal that has a length of 16 is split into two segments that each have a length of 8. The diagonal that has a length of 30 is split into two segments that each have a length of 15.

Now, remember that we're asked to find the perimeter of the rhombus which is the sum of the lengths of all the sides. Since the four sides of the rhombus are equal in length, we can give all four sides of the rhombus a length of X.

To find the value of X, notice that we have a right triangle in the upper right of the figure so the pythagorean theorem tells us that (15)² + (8)² = (x)² which simplifies to 225 + 64 = x² or 289 = x².

Now we can square root both sides to get 17 = x.

This means that the length of each side of our rhombus is 17. Remember that we are asked to find the perimeter of the rhombus which is the sum of the lengths of all the sides so the perimeter is 17 + 17 + 17 + 17 or 68.

Therefore, the perimeter of the rhombus is 68.

Varvara68 [4.7K]3 years ago

5 0

The perimeter will be
.. P = 2√(16^2 +30^2) = 2*34 = 68

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lorasvet [3.4K]

Answer:

Kelly is wrong and the recipe will make 19 cups of punch.

Step-by-step explanation:

It says:

The amount of ingredients in the recipe of punch after converting the units to 'cups' are given by,

Pineapple juice = 3 pints = 6 cups (1 pint ≈ 2 cups)

Orange juice = 5 cups

Lemonade = 1/4 gallon = 4 cups (1 gallon = 16 cups)

Apricot nectar = 1 quart = 4 cups(1 quart = 4 cups)

Then, the total cups of punch = 6 + 5 + 4 + 4 = 19 cups.

Thus, Kelly is wrong and the recipe will make 19 cups of punch.

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2 years ago

If you roll a fair six-sided die and a fair four-sided die, what is the probability that neither die shows a 1?

elena-s [515]

Answer in fraction form: 5/8
Answer in decimal form: 0.625

==============================================

Explanation:

There are 5 sides that aren't labeled "1" out of 6 total. So the probability of not rolling a "1" on the six-sided die is 5/6

Similarly, there are 3 sides that aren't labeled "1" out of 4 sides on the four-sided die. The probability of not rolling a "1" for this die is 3/4

Multiply the fractions
(5/6)*(3/4) = (5*3)/(6*4) = 15/24 = 5/8

The answer in fraction form is 5/8 which converts to 0.625 (use long division or a calculator)

Note: the multiplication of probabilities works because the two events (of rolling each die) are independent

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3 years ago

During each minute of a comedy show, Carlin laughs 55 times. Carlin watches 33 comedy shows every day, and each show is 40 minut

postnew [5]

Answer:

Step-by-step explanation:

So if she’s laughing 55 times a minute you wanna multiply 55 by 40 which gives you 2200 so during one show she laughs 2200 times, and if she’s watched 33 shows you want to multiply your 2200 answer for one show by 33 which is a total of 72600

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3 years ago

The price of a cup of coffee was $2.35 yesterday. Today, the price fell to $2.10. Find the percentage decrease. Round your answe

Readme [11.4K]

Answer:

10.6% decrease

Step-by-step explanation:

The percentage change in a quantity is computed using ...

percentage change = ((new value)/(old value) -1) × 100%

= (2.10/2.35 -1) × 100%

= (0.8936 -1) × 100%

= -.1064 × 100%

= -10.64%

The percentage decrease was about 10.6%.

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3 years ago

Taylor earn $5 each time she walks her neighbors dog she has already earned $25 write and solve an equation to find o....Le list

vampirchik [111]

Complete question :

Taylor earns $5 each time she walks her neighbor's dog. She has already earned $25. Write and solve an equation to find out how many more times Taylor needs to walk the dog to earn enough to buy a bike that costs $83.

Answer:

Step-by-step explanation:

Amount earned for walking dog = $5 per walk

Amount already earned = $25

How many more times dog needs to be walked to buy a bike which costs $83

Target amount = 83

(Target amount - already earned amount) / amount earned per Walk

(83 - 25) / 5

58 / 5

= 11.6

Hence, Taylor needs to walk her neighbor's dog 12 more times

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3 years ago