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3 years ago

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Mathematics

1 answer:

MakcuM [25]3 years ago

7 0

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The half-life of a radioactive substance is the time required for half of a sample to undergo radioactive decay,or for the quant

NikAS [45]

Answer:

That's two half lives. 5/8 * 2 * 2 = 20/8 = 5/2 pounds7/8 * 2 * 2 = 28/8 = 7/2 pounds

Step-by-step explanation:

Brainliest plz?

4 0

2 years ago

This figure is made up of a quadrilateral and a semicircle.

Arturiano [62]

Answer:

The correct option is B. The area of the figure is 40.4 units².

Step-by-step explanation:

The line AB divides the figure in two parts one is a rectangle and another is semicircle.

The distance formula is

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

The length of AB is

$AB=\sqrt{(2+3)^2+(4-2)^2}=\sqrt{25+4}=\sqrt{29}$

The length of AD is

$AD=\sqrt{(-1+3)^2+(-3-2)^2}=\sqrt{4+25}=\sqrt{29}$

Since AB=AD, therefore ABCD is a square. The area of the of square is

$A_1=a\times a=\sqrt{29}\times \sqrt{29} =29$

The area of square is 29 units².

The area of a semicircle is

$A_2=\frac{\pi}{2}r^2$

Since AB is the diameter of the semicircle, therefore the radius of the semicircle is

$r=\frac{d}{2}=\frac{\sqrt{29}}{2}$

The area of the semicircle is

$A_2=\frac{3.14}{2}(\frac{\sqrt{29}}{2})^2=40.3825$

The area of the figure is

$A=A_1+A_2=29+11.2825=40.3825\approx 40.4$

Therefore the area of the figure is 40.4 units². Option B is correct.

5 0

3 years ago

Convert the angle 0=17pi over 18 radians to degree

Shalnov [3]

Answer:

170°

Step-by-step explanation:

To convert from radians to degrees

degree measure = radian measure × $\frac{180}{\pi }$ , thus

degree = $\frac{17\pi }{18}$ × $\frac{180}{\pi }$

Cancel π on numerator/denominator and 18/ 180 by 18

degree measure = = 17 × 10 = 170°

8 0

3 years ago

Write an equation of the line that passes through (−3,7) and is perpendicular to the line y=−2x−5.

Murljashka [212]

Answer:

Step-by-step explanation:

an equation is : Use the point-slope formula.

y - y_1 = m(x - x_1) ; m : the slope when : x_1 = -3 and y_1 = 7

- 2 ×m = - 1 because this line is perpendicular to the line y= -2x-5 when the slope is -2

so : m= 1/2

an equation is : y - 7 =(1/2)(x+3)

7 0

3 years ago

Read 2 more answers

The graph of f(x) is shown. Estimate f(-3).<br> f(-3) = 1

Effectus [21]

Answer:

There is no graph.

But 1 would be a good estimate if f(-3)=1

Step-by-step explanation:

5 0

3 years ago