T 3.7.4 Quiz: Working With the Di

If you're only counting the smallest triangles, then 8.

If you're counting all possible triangles including triangles made of other triangles, then 16. Each diagonal gives 2, the combined diagonals give 4, and the unit triangles give 8 for a total of 2 + 2 + 4 + 8 = 16.

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3 years ago

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1. The formula for the volume of a cone is

Andre45 [30]

Answer:

$r=\sqrt{\frac{3V}{\pi\ h}}$

Step-by-step explanation:

The volume of cone is given by:

$V=\frac{1}{3}\pi\ r^2\ h$

where $r$ is the radius of the base and $h$ is the height of the cone.

We need to solve for $r$

we have $V=\frac{1}{3}\ \pi\ r^2\ h$

Multiplying both sides by 3 to remove $\frac{1}{3}$

⇒ $3\times V=3\times \frac{1}{3}\ \pi\ r^2\ h$

⇒ $3V=\pi\ r^2\ h$

dividing both sides by $\pi\ h$

⇒ $\frac{3V}{\pi\ h}=\frac{\pi r^2 h}{\pi\ h}$

⇒ $\frac{3V}{\pi\ h}=r^2$

Taking square root both sides:

⇒ $\sqrt{\frac{3V}{\pi\ h}}=\sqrt{r^2}$

⇒ $\sqrt{\frac{3V}{\pi\ h}}=r$

∴ $r=\sqrt{\frac{3V}{\pi\ h}}$

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3 years ago

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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

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2 years ago