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amm1812
3 years ago
5

2.

Mathematics
1 answer:
levacccp [35]3 years ago
8 0

Answer:

10

Step-by-step explanation:

Use the distance formula.

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

We have x1 = 2; y1 = 0; x2 = -6; y2 = 6.

d = \sqrt{(-6 - 2)^2 + (6 - 0)^2}

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

d = \sqrt{64 + 36}

d = \sqrt{100}

d = 10

Answer: 10

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An oven heating element turns on when the internal temperature falls to 20 degrees below the set temperature and turns off when
son4ous [18]

Answer:

The range of the oven is 385\leq T\leq 410

Step-by-step explanation:

Consider the provided information.

The internal temperature falls to 20 degrees below the set temperature and turns off when the temperature reaches 5 degrees above the set temperature.

You preheat the oven to 405 degrees before putting a cake in and baking it for an hour at 405.

The internal temperature falls to 20 degrees, therefore the lowest set can be:

405-20=385 degree.

The temperature reaches 5 degrees above the set temperature 405, therefore the upper set is: 405+5=410 degree.

Hence, the temperature will be lying between 385 degree and 410 degree.

This can be written as: 385\leq T\leq 410

Hence, the range of the oven is 385\leq T\leq 410

4 0
3 years ago
How many odd integers are there between 101 and 999 have distinct digits?
guapka [62]
Every number will have only 3 digits. In the ones place, there are 5 choices. For every choice of digit made in the ones place, there are 8 possible choices for the hundreds place (you can choose from 1-9, omitting whatever is used in the ones place), and there are 8 possible choices for the tens place (you can choose from 0-9, omitting whatever has already been used elsewhere).

So there are 7\cdot8\cdot8=320 such numbers.
8 0
3 years ago
It is desired to draw blood 3 cm up a capillary tube. Assuming a contact angle of 0 degrees and a blood density of 1060 kg/m3, w
JulijaS [17]

Answer:

If we assume a temperature of 20ºc and the blood interfacial surface tension is similar to water interfacial surface tension, the diameter of the capillary tube should be 0.933mm.

Step-by-step explanation:

The Jurin law describes the height a fluid can reach in a capillary tube. This law can be written as:

H=\displaystyle\frac{2\gamma cos(\theta)}{\rho gr}

where γ is the interfacial surface tension, θ is the contact angle with the fluid, ρ is the fluid density, g is the gravity acceleration and r is the tube radius.

If we assume that the interfacial surface tension of blood and water are almost the same, γ=0,0728 N/m at 20ºc. Therefore the diameter of the tube will be:

D=2r=\displaystyle\frac{4\gamma cos(\theta)}{\rho gH}=0.933\cdot 10^{-3}m

4 0
3 years ago
58 is the difference of Janelle's height and 24.
abruzzese [7]

Answer:

Janelle's height is 82 units.

Step-by-step explanation:

Let j represent Janelle's height.

It is mentioned that, 58 is the difference between Janelle's height and 24.

Mathematically, we can write it as :

j-24 = 58

We can solve it as follows :

Adding 24 both sides,

j-24+24 = 58+24

j = 82

Hence, Janelle's height is 82 units.

3 0
2 years ago
What is (4x-3)(7x+6)?
professor190 [17]

Answer:

28x^2+3x-18

Step-by-step explanation:

Formula: (a+b)(a+b) = a^2 + a*b + a*b + b*b

Following this: 28x^2 -21x +24x -18

Then you combine like terms: 28^2 +3x-18

hope this helped!! :)

4 0
3 years ago
Read 2 more answers
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