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3 years ago

Find the percent of increase. 1. original price: $60 retail price: $84?

Mathematics

1 answer:

SVEN [57.7K]3 years ago

7 0

Answer:

use a/w=p/100

Step-by-step explanation:

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Answers from anybody please???

Nezavi [6.7K]

The side length is 2/√3 times the apothem length, so is 10 cm. The area is that of 6 triangles, each with base 10 cm and height 5√3 cm.

.. 6*(1/2)*(10 cm)*(5√3 cm) = 150√3 cm^2
.. ≈ 259.8 cm^2

7 0

3 years ago

P(-,3) , Q(7,-3) and R (4,1) are three points. show that PQ=2QR using distance formula. (please show the steps too :)

solong [7]

Answer:

PQ is 10.

QR is 5.

Hence, PQ=2QR

Step-by-step explanation:

We have the three points P(-1, 3); Q(7, -3); and R(4, 1).

And we want to show that PQ=2QR.

In other words, we want to show that PQ/QR=2.

So, let's find PQ and QR. We will need to use the distance formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2$

To find PQ:

P is (-1, 3) and Q is (7, -3).

So, we will let P(-1, 3) be (x₁, y₁) and Q(7, -3) be (x₂, y₂).

Substitute the values into the distance formula. This yields:

$d=\sqrt{(7-(-1))^2+(-3-3)^2$

Evaluate:

$d=\sqrt{(8)^2+(-6)^2$

Evaluate:

$d=\sqrt{64+36}=\sqrt{100}=10$

So, the distance of PQ is 10.

And to find QR:

Q is (7, -3) and R is (4, 1).

Again, we will let Q(7, -3) be (x₁, y₁) and R(4, 1) be (x₂, y₂).

Substitute appropriately. So:

$d=\sqrt{(4-7)^2+(1-(-3))^2$

Evaluate:

$d=\sqrt{(-3)^2+(4)^2$

Evaluate:

$d=\sqrt{9+16}=\sqrt{25}=5$

So, the distance of QR is 5.

Therefore, it follows that:

$\displaystyle PQ=2QR\Rightarrow \frac{PQ}{QR}=2\Rightarrow\frac{10}{5}\stackrel{\checmark}{=}2$

And we have shown that PQ=2QR.

6 0

3 years ago

Mia bought 10 boxes of brownies at the store for a total of $64. The tax on the purchase was $5. What was the cost of each box?

Pavel [41]

Let r represent cost of each box.

We have been given that Mia bought 10 boxes of brownies. So cost of 10 boxes would be $10r$ .

We have been given that Mia bought 10 boxes of brownies at the store for a total of $64. The tax on the purchase was $5. So the total cost of 10 boxes would be cost of 10 boxes plus tax.

We can represent this information in an equation as:

$10r=64+5$