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2 years ago

If a triangle has a height of 12 in and a base of 5 inbwhats the area

Mathematics

1 answer:

Yuliya22 [10]2 years ago

7 0

Area of a triangle
A=h x b/2=12 x 5/2=30
please mark me as brainly

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Find a vector equation and parametric equations for the line through the point (7,4, 5) and parallel to the vector 3i 2j-k .

aleksley [76]

Answer: vector equation r = (7+3t)i + (4+2t)j + (5 - 5t)k

parametric equations: x = 7 + 3t; y = 4 + 2t; z = 5 - 5t

Step-by-step explanation: The vector equation is a line of the form:

r = $r_{0}$ + t.v

where

$r_{0}$ is the position vector;

v is the vector;

For point (7,4,5):

$r_{0}$ = 7i + 4j + 5k

Then, the equation is:

r = 7i + 4j + 5k + t(3i + 2j - k)

r = (7 + 3t)i + (4 + 2t)j + (5 - 5t)k

The parametric equations of the line are of the form:

x = $x_{0}$ + at

y = $y_{0}$ + bt

z = $z_{0}$ + ct

So, the parametric equations are:

x = 7 + 3t

y = 4 + 2t

z = 5 - 5t

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2 years ago

Find each probability if a die is rolled. P(divisible by 4)

olga2289 [7]

When a die is rolled, there are six posible results:
1, 2, 3, 4, 5, and 6
Total number of posible results: n=6

Divisible by 4 is only the result 4
Number of favorable results: f=1

P(divisible by 4)=f/n
P(divisible by 4)=1/6
P(divisible by 4)=0.1667
P(divisible by 4)=0.1667*100%
P(divisible by 4)=16.67%

P(divisible by 4)=1/6=0.1667=16.67%

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3 years ago

Iodine-125 has a half-life of about 60 days.

Murljashka [212]

62.5 mg sample will remain after 240 days

Step-by-step explanation:

Given

Half-life = T = 60 days

The formula for calculating the quantity after n half lives is given by:

$N = N_0(\frac{1}{2})^n$

Here

N is the final amount

N_0 is the initial amount

n is the number of half lives passed

The number of half lives are calculated by dividing the time for which the remaining quantity has to be found by half life

The quantity has to be calculated for 240 days so,

$n = \frac{240}{60}\\n = 4$

Given

$N_0 = 1000\ mg$

Putting the values in the formula

$N = 1000 (\frac{1}{2})^4\\=1000 * \frac{1}{16}\\=\frac{1000}{16}\\=62.5\ mg$

Hence,

62.5 mg sample will remain after 240 days

Keywords: Half-life, sample

Learn more about half-life at:

#LearnwithBrainly

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skad [1K]

Answer:

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Step-by-step explanation:

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Its either centimeters or inches.
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