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2 years ago

69. The O'Brien's had $400.0 in a special

Mathematics

1 answer:

LuckyWell [14K]2 years ago

8 0

Hello :D

$40.00 x 3 = $120.00

$20.00 x 2 = $40.00

$120.00 + $40.00 = $160.00

$400.00 - $160.00 = $240.00

There is $240.00 left in the account.

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You’re baking a circular cake for a party. Your cake can be any size you want. What will the radius of your cake be and how many

REY [17]

What will the radius of your cake be?

This is a problem of geometry. Given that the cake is circular, the greater the cake the greater the radius of it. So, as shown in the figure 1, the radius will be the distance from the center to any extreme point of the circle.

How many slices will you be able to cut?

The total area of a circle is given by:

$A= \pi r^{2}$

We need to fin how many slices will be cut, so let's calculate the area of the circular sector which can be obtained simply applying rule of three, so:

$A_{cs}= \pi r^{2}( \frac{\theta}{2\pi})= \frac{r^{2}\theta}{2}$

Let's name n the number of slices, if we divide the total area by n this result, each area must equal, then:

$\frac{\pi r^{2}}{n}=\frac{r^{2}\theta}{n}$

Finally, we will be able to cut:

$n= \frac{2\pi}{\theta}$ Slices

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3 years ago

Which make a triangle 3 4 5. 3 5 7. 1 3 4. 2 8 9.

adelina 88 [10]

i don't understand this question but I will say 1/3/4

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2 years ago

Which of the following rational numbers is equal

mart [117]

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3 years ago

A decorative window is made up of a rectangle with semicircles at either end. The ratio of AD to AB is 3:2 and AB is 30 inches.

scZoUnD [109]

Answer: The required ratio will be

$84:1034$

Step-by-step explanation:

Since we have given that

Ratio of AD to AB is 3:2

Length of AB = 30 inches

So, it becomes

$2x=30\\\\x=\frac{30}{2}=15\ inches$

So, Length of AD becomes

$3x=3\times 15=45\ inches$

Now, at either end , there is a semicircle.

Radius of semicircle along AB is given by

$\frac{30}{2}=15\ inches$

So, Area of semicircle along AB and CD is given by

$2\times \frac{\pi r^2}{2}\\\\=\frac{22}{7}\times 15\times 15\\\\=\frac{4950}{7}\ in^2$

Radius of semicircle along AD is given by

$\frac{45}{2}=22.5\ inches$

Area of semicircle along AD and BC is given by

$2\times \frac{1}{2}\pi r^2\\\\=\frac{22}{7}\times \frac{45}{2}\times \frac{45}{2}\\\\=\frac{445500}{28}\ in^2$

And the combined area of the semicircles is given by

$\frac{4950}{7}+\frac{445500}{28}\\\\=\frac{465300}{28}\ in^2$

Area of rectangle is given by

$Length\times width\\\\=AD\times AB\\\\=45\times 30\\\\=1350\ in^2$

Hence, Ratio of the area of the rectangle to the combined area of the semicircles is given by

$1350:\frac{465300}{28}\\\\=1350\times 28:465300\\\\=37800:465300\\\\=84:1034$

Hence, the required ratio will be

$84:1034$

8 0

2 years ago

A copy machine makes 28 copies per minute. How many copies does it make in 3 minutes and 45 seconds?

lina2011 [118]

<u>Convert minutes and seconds to minutes:</u>
$\text{3 mins 45 seconds} \longrightarrow 3 \dfrac{3}{4} \text{mins}$

<u>FInd 3 3/4 mins:</u>
$\text{1 min} \longrightarrow 28 \text{ copies}$

$3 \dfrac{3}{4} \text{ min} \longrightarrow 28 \times 3\dfrac{3}{4} \text{ copies}$

$3 \dfrac{3}{4} \text{ min} \longrightarrow 28 \times \dfrac{15}{4} \text{ copies}$

$3 \dfrac{3}{4} \text{ min} \longrightarrow 105 \text{ copies}$

Answer: It can make 105 copies.

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3 years ago