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3 years ago

Original price of a dress:26.40,discount:10%

Mathematics

1 answer:

stealth61 [152]3 years ago

4 0

Answer:

2.64

Step-by-step explanation:

10/100 = 0.1

0.1 x 26.40 = 2.64

So the final answer is 2.64

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From the top of a tower, an object which is 97 m away from the base of the tower, is at a 37° angle of depression.

mario62 [17]

<h3>Answer: 73</h3>

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Work Shown:

Check out the diagram below. Note the pair of alternate interior angles that are congruent (each 37 degrees). Then focus on triangle ABC. With the reference angle being at A, this means we use the tangent function because BC = x is the opposite side and AB = 97 is the adjacent side.

tan(angle) = opposite/adjacent

tan(A) = BC/AB

tan(37) = x/97

97*tan(37) = x

x = 97*tan(37)

x = 73.094742859971

For the last step, you'll need a calculator that can handle trig functions. Make sure the calculator is in degree mode. The result here is approximate. This rounds to 73 when rounding to the nearest whole number.

7 0

3 years ago

16. David wanted to buy a new suit selling for $400. He negotiated with the salesperson

Reil [10]

Answer:$344

1/5 of 400 is 80 so if you subtract that it would be $320
1/50 of $400 is 8 so if you multiply that by 3,3/50 of $400 is(8*3)24 so $320+$24=$344

7 0

3 years ago

whitch of the following shows 27/54 written in prime form to help in reducing the fraction to somplest form

guajiro [1.7K]

$\dfrac{27}{54}=\dfrac{27:9}{54:9}=\dfrac{3}{6}=\dfrac{3:3}{6:3}=\dfrac{1}{2}$

6 0

3 years ago

Two cards are drawn with replacement, one after the other, and the outcomes recorded. What is the probability that at least one

babymother [125]

Answer:

The probability is 0.231

Step-by-step explanation:

In this question, we are tasked with calculating the probability that out of two cards drawn with replacement from a pack of cards , at least one of the two is a face card.

In a standard pack of cards, there are 52 cards.

Now let’s calculate the number of face cards we have.

There are 12 face cards in a pack of cards. There are 4 of each of Jack, Queen or King

The probability of drawing a face card is 12/52 = 3/13

Now, we want to calculate the probability of at least one of the cards drawn are face cards.

Mathematically, what we are needing to calculate is

Probability of drawing a single face card or probability of the two being a face card

Now let’s calculate.

The probability of the first card drawn being a face card is 3/13. The probability of the second card not being a face card will be 1-3/13 = 10/13

The joint probability under this first set of condition will be 3/13 * 10/13 = 30/169

Now, for the second condition, here we are considering that both cards drawn are face cards. What we have is 3/13 * 3/13 = 9/169

Now in probabilities, whenever we are having the statement or, we add the probabilities together

Thus, the probability here would be 30/169 + 9/169 = 39/169 = 3/13

In decimal this will be 0.231

8 0

3 years ago

1. What is the area of the figure below?. . . 18 in². 30 in². 36 in². 60 in².

wel

Area of parallelogram<span>=</span><span>base x </span><span>height
Given :
Base = 12 in.
Height = 3 in.

Hence,
Area = 12 x 3
= 36 in. square</span>

6 0

3 years ago

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