What is the width of a rectangle with length 14 cm and area 161 cm to the 2nd power?

Select all of the following ordered pairs that are in the solution set of the inequality shown.

Irina-Kira [14]

Answer:

points on the boundary line: (0, 10), (20, 0)
solution points not on the boundary line: (100, 100)

Step-by-step explanation:

We cannot tell from the posted picture whether the boundary line is solid or dashed, so the answer above is split into two parts. If the boundary line is solid (x+2y≥20), all three listed points are in the solution set. If the boundary line is dashed (x+2y>20), only (100, 100) is in the solution set.

8 0

3 years ago

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Michael has $12,500 to invest. he invests part in an account which earns 4.2% annual interest and the rest in an account which e

Dimas [21]

Suppose he invest x dollars in one account, y in the other
x+y=12,500
0.042x+0.062y=669.50
multiple the first equation by 0.042: 0.042x+0.042y=525
subtract this new equation from equation 2: 0.02y=144.50
y=7225
x=12500-7225=5275

8 0

3 years ago

Read 2 more answers

Find the perimeter of the following triangle.

pashok25 [27]

Hello!

To find the perimeter of the triangle, we need to find the length of all the sides using the <u>distance formula</u>.

The distance formula is: $d =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ .

First, we can find the distance between the points (-3, -1) and (2, -1). The point (-3, -1) can be assigned to $(x_{1},y_{1})$ , and (2, -1) is assigned to $(x_{2},y_{2})$ . Then, substitute the values into the formula.

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

$d =\sqrt{5^{2}+0^{2}}$

$d =\sqrt{25} = 5$

The distance between the points (-3, -1) and (2, -1) is 5 units.

Secondly, we need to find the distance between the points (2, 3) and (2, -1). Assign those points to $(x_{1},y_{1})$ and $(x_{2},y_{2})$ , then substitute it into the formula.

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

$d =\sqrt{0^{2}+(-4)^{2}}$

$d =\sqrt{16} = 4$

The distance between the two points (2, 3) and (2, -1) is 4 units.

Finally, we use the distance formula again to find the distance between the points (-3, -1) and (2, 3). Remember the assign the ordered pairs to $(x_{1},y_{1})$ and $(x_{2},y_{2})$ and substitute!

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

$d =\sqrt{5^{2}+4^{2}}$

$d =\sqrt{25 + 16}$

$d =\sqrt{41}$ This is equal to approximately 6.40 units.

The last step is to find the perimeter. To find the perimeter, add of the three sides of the triangle together.

P = 5 units + 4 units + 6.4 units

P = 15.4 units

Therefore, the perimeter of this triangle is choice A, 15.4.

6 0

3 years ago

Date: Pages The recent price of a car is Rs. 10.00,000: If its price reduces by to1 yearly after how many year its price will be

Arlecino [84]

Answer:

729000 year it's price will Rs 729000

4 0

3 years ago

Solve.

Anuta_ua [19.1K]

Answer:

The temperature at 1,000 feet will be 56.4ºF; at 2,000 feet it will be 52.8ºF; and at 3,000 feet it will be 49.2ºF.

Step-by-step explanation:

Given that W. Altus is climbing 3,000 feet to the top of a mountain, starting at a temperature of 60ºF, which decreases 3.6ºF every 1,000 feet of elevation, to determine the temperature every 1,000 feet of elevation, the following calculations must be performed:

0 feet = 60ºF

1,000 feet = 60ºF - 3.6ºF = 56.4ºF

2,000 feet = 56.4ºF - 3.6ºF = 52.8ºF

3,000 feet = 52.8ºF - 3.6ºF = 49.2ºF

Thus, the temperature at 1,000 feet will be 56.4ºF; at 2,000 feet it will be 52.8ºF; and at 3,000 feet it will be 49.2ºF.

3 0

3 years ago