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Mekhanik [1.2K]
3 years ago
10

Find the distance between the points given. (-3, -4) and (0, 0)

Mathematics
2 answers:
melomori [17]3 years ago
8 0
The distance between the points is 5
PolarNik [594]3 years ago
3 0

Answer:  The required distance between the given points is 5 units.

Step-by-step explanation:  We are given to find the distance between the points (-3, -4) and (0, 0).

<u><em>Distance formula :</em></u>  The distance between two points (a, b) and (c, d) is given by

D=\sqrt{(c-a)^2+(d-b)^2}.

So, the distance between the given points (-3, -4) and (0, 0) is given by

D=\sqrt{(0-(-3))^2+(0-(-4))^2}=\sqrt{3^2+4^2}=\sqrt{9+16}=\sqrt{25}=5.

Thus, the required distance between the given points is 5 units.

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For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
tia_tia [17]
<h3>Answer:  6.93</h3>

Work Shown:

Use the pythagorean theorem to find x

a^2 + b^2 = c^2

x^2 + 11^2 = 13^2

x^2 + 121 = 169

x^2 = 169 - 121

x^2 = 48

x = sqrt(48)

x = 6.92820323027551

x = 6.93

5 0
3 years ago
Read 2 more answers
Write a division problem that will have a two digit quotient and another division problem that will have a 3 digit quotient. Exp
il63 [147K]
48 divided by 2 = 24
3333 divided by 6 = 555.5
5 0
3 years ago
On a hot Saturday morning while people are working​ inside, the air conditioner keeps the temperature inside the building at 24
Helen [10]

Answer:

30.06 degree Celsius at 4:00 PM.

Step-by-step explanation:

We have been given that on a hot Saturday morning while people are working​ inside, the air conditioner keeps the temperature inside the building at 24 degrees C. At noon the air conditioner is turned​ off, and the people go home. The temperature outside is a constant 35 degrees C for the rest of the afternoon. The time constant for the building is 5 ​hr. We are asked to find the temperature inside the building at 4:00 PM.

We will use Newton's law of cooling to solve our given problem.

T(t)=M_0+(T_0-M_0)e^{-kt}, where

T(t) = Temperature after t hours.

M_0 = Temperature of surrounding environment,

k = Time constant.

\frac{1}{k}=5\Rightarrow k=\frac{1}{5}

Upon substituting our given values in Newton's cooling law, we will get:

T(t)=35+(24-35)e^{-\frac{t}{5}}

T(t)=35-11e^{-\frac{t}{5}}

To find the temperature at 4:00 pm, we will substitute t=4 in our formula as:

T(4)=35-11e^{-\frac{4}{5}}

T(4)=35-\frac{11}{e^{\frac{4}{5}}}

T(4)=35-\frac{11}{2.2255409284924674}

T(4)=35-4.9426186052894379601

T(4)=30.05738139471

T(4)\approx 30.06

Therefore, the temperature inside building would be approximately 30.06 degree Celsius at 4:00 PM.

5 0
3 years ago
What is -3 2/3 times (-2 1/2)? A. -8 1/4 B. -6 1/6 C. 8 1/4 D. 8 3/4
Ivenika [448]
The answer would be c I think
3 0
3 years ago
Read 2 more answers
A group of students are going on a trip and the trip costs $36.50 per student which
goblinko [34]

Answer:

$18

Step-by-step explanation:

Let's subtract the lunch from the trip total to get the remainding cost!  

36.50 - 9.50 =  $27

Now let's set up an equation to figure out the amount of the entrance ticket and the gift coupon!

let's have x = the entrance ticket

27 = x + 1/2(x) -----------> 1/2 is next to x, because the gift coupon is 1/2, or 50% of the entrance ticket! Now solve for x!

27 = 3/2x

(2/3) 27 = 3/2x (2/3)

18 = x, so the entrance ticket is $18!

7 0
2 years ago
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