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lesantik [10]
2 years ago
8

One of the legs of a right triangle measures 17 cm and the other leg measures 5 cm. Find the measure of the hypotenuse. If neces

sary, round to the nearest tenth.

Mathematics
1 answer:
Semenov [28]2 years ago
6 0

Answer:

17.7 cm^2

Step-by-step explanation:

The formula for finding the hypotenuse using the pythagorean theorem is:

a^{2}+b^{2}=c^{2}

or, it can also be c=\sqrt{a^2+b^2}. But I will be using the first formula.

We first plug in the "legs" to the equation:

a^{2} =17^{2} \\b^{2}=5^2

17^2+5^2=c^2\\17^2+5^2=314

Now, you find the square root of 314.

\sqrt{314}=17.72^2

And finally, just round to the nearest tenths place!

17.7^2

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A sample of men's heights was taken and the mean was 68.8 inches. The standard deviation is 2.8 inches. What percent of the men
jarptica [38.1K]

Answer:

87.29%

Step-by-step explanation:

Given: Mean= 68.8 inches

           Standard deviation= 2.8 inches

           

Now, finding the percent of the men in the sample were greater than 72 inches.

We know, z-score= \frac{x-mean}{standard\ deviation}

z-score= \frac{72-68.8}{2.8}

⇒ z-score= \frac{3.2}{2.8} = 1.14

∴ z-score= 1.14

Next, using normal distribution table to find percentage.

Coverting 0.8729 into percentage= 0.8729\times 100

We get the percentage as 87.29%

Hence, 87.29% of the men in the sample were greater than 72 inches.

6 0
3 years ago
The book store is having a sale where all hardcover books are 20% off. Jamie also has a coupon for 15% off any fiction book. Jam
scoray [572]

You can use the fact that both 20% and 15% discounts will be merged to reduce 35% of the price of the book that Jamie buys.

By buying the book on sale and using the coupon, Jamie will save

Option B: $11.55

<h3>
How are discounts calculated for the case when its sale and we've got discount coupons too?</h3>

Suppose the sale gives p% off.

And the discount coupon provides q% off.

Then we have total discount applied on the cost of the object bought as

(p+q)%

<h3>How to find the percentage from the total value?</h3>

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

\dfrac{a}{100} \times b

<h3>Using the above fact to calculate the amount that Jamie saved </h3>

Since the sale offers 20% discount and Jamie has got 15% discount coupon for any fiction book, thus, total 35% will be discounted if Jamie buys fiction book.

Since the price of the fiction book that Jamie brought is $32.99, thus,

Saved amount = 35% of $32.99 = \dfrac{32.99}{100} \times 35 = 0.3299 \times 35 \approx \$11.55

Thus,

By buying the book on sale and using the coupon, Jamie will save

Option B: $11.55

<h3 />

Learn more about percentage here:

brainly.com/question/11549320

5 0
2 years ago
Help I keep getting an answer that is not an option
horsena [70]

Answer:

6600

Step-by-step explanation:

y = 15000( 1.2) ^ (x/3)

Let x = 6 years

y = 15000( 1.2) ^ (6/3)

y = 15000( 1.2) ^ (2)

y = 15000( 1.44)

y =21600

This is the total amount in the account

We want the profit

Subtract the original amount in the account

21600-15000

6600

8 0
3 years ago
I will mark u as the brainiest if u get this correct<br> thx x
mel-nik [20]

Answer:

189 cm^2

Step-by-step explanation:

12 cm (a) is unneeded information

8 0
3 years ago
Please help! Find the area and the perimeter of the shaded regions below. Give your answer as a completely simplified exact valu
Nadya [2.5K]

Answer:

The \ area \ of \ the \ figure = 4\dfrac{1}{2} \cdot \pi + 18 \ cm^2

Step-by-step explanation:

Given that the figure is made up of portion of a square and a semicircle, we have;

BC ≅ AB = 6 cm

The area of semicircle BC with radius BC/2 = 3 is 1/2×π×r² = 1/2×π×3² = 4.5·π cm²

Triangle ABC = 1/2 × Area of square  from which ABC is cut

The area of triangle ABC = 1/2×Base ×Height = 1/2×AB×BC = 1/2×6×6 = 18 cm²

The area of the figure = The area of semicircle BC + The area of triangle ABC

The area of the figure = 4.5·π cm² + 18 cm² = \dfrac{9 \cdot \pi +36}{2} \ cm^2.

5 0
3 years ago
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