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1 year ago

Find the perimeter of the following figure.

Mathematics

2 answers:

Liono4ka [1.6K]1 year ago

7 0

Answer:

72 cm

Step-by-step explanation:

(8 + 10) x 2 + (15 + 3) x 2

= 2(18 + 18)

= 2(36)

= 72

Paul [167]1 year ago

3 0

Answer:

Step-by-step explanation:

8 + 10 x 2 = 36

15 + 3 x 2 = 36

36 + 36 = 72

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John spent $75 on a shopping trip for new clothes last week. He had expected to spend $100 on clothes. table How much was the ab

kolezko [41]

Answer:

$\$\ 25$

Step-by-step explanation:

By definition, the absolute error is defined as:

$\epsilon = |x_a - x_e|$

Where:

$\epsilon$ : is the error

$x_a$ : is the approximate value

$x_e$ : is the exact value

In this problem the approximate value was 100 and the exact value was 75. Then we substitute these values in the formula to find the error.

$\epsilon = |100 - 75|\\\epsilon = \$\ 25$

3 0

2 years ago

Read 2 more answers

Find the product of 2 and 500.

Ilya [14]

The answer is 1,000. 500(2)= 1000

6 0

2 years ago

Using a fair coin and a number cube with faces numbered 1 through 6, what is the probability of getting heads and rolling a 5?

torisob [31]

Step-by-step explanation:

Use Multiplication Principle with states that if a event can occur n ways, and another mutually exclusive event occur p ways, then the total outcome is

$n \times p$

The possible ways of rolling a dice is 6 and the possible ways of flipping a coin is 2 so we have

$6 \times 2 = 12$

Now, we use the fact that proabliblity is

Number of favorable outcomes/ Total outcomes.

We can only get a head and a 5 once out of the set so the number of favorable outcomes is 1. Total outcomes is 12 so we have

$\frac{1}{12}$

A is the answer.

3 0

2 years ago

A poker hand consisting of 9 cards is dealt from a standard deck of 52 cards. Find the probability that the hand contains exactl

Andrew [12]

Answer: $\dfrac{^{12}C_{6}\times^{40}C_3}{^{52}C_9}$ or $\dfrac{228}{91885}$ .

Step-by-step explanation:

Given : A poker hand consisting of 9 cards is dealt from a standard deck of 52 cards.

The total number of cards in a deck 52

Number of faces cards in a deck = 12

Number of cards not face cards = 40

The total number of combinations of drawing 9 cards out of 52 cards = $^{52}C_9$

Now , the combination of 9 cards such that exactly 6 of them are face cards = $^{12}C_{6}\times^{40}C_3$

Now , the probability that the hand contains exactly 6 face cards will be :-

$\dfrac{^{12}C_{6}\times^{40}C_3}{^{52}C_9}$

$=\dfrac{\dfrac{12!}{6!6!}\times\dfrac{40!}{3!37!}}{\dfrac{52!}{9!\times43!}}\ \ [\because\ ^nC_r=\dfrac{n!}{r!(n-r)!}]\\\\=\dfrac{228}{91885}$

Hence, the probability that the hand contains exactly 6 face cards. is $\dfrac{228}{91885}$ .

6 0

3 years ago

For what values of k

sergey [27]

If y = cos(kt), then its first two derivatives are

y' = -k sin(kt)

y'' = -k² cos(kt)

Substituting y and y'' into 49y'' = -16y gives

-49k² cos(kt) = -15 cos(kt)

⇒ 49k² = 15

⇒ k² = 15/49

⇒ k = ±√15/7

Note that both values of k give the same solution y = cos(√15/7 t) since cosine is even.

3 0

2 years ago