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3 years ago

Please do correctly! I will mark you Brainliest!

Mathematics

1 answer:

kolbaska11 [484]3 years ago

4 0

Answer:

3(4+√2)

Step-by-step explanation:

Here we need to find the perimeter of the given figure. Here the given figure is made from a triangle and a square. The side lenght of the square is 3. We need to find the hypontenuse of the triangle in order to find Perimeter .

• Using Pythagoras Theorem :-

⇒ h² = p² + b²

⇒ h² = 3² + 3²

⇒ h² = 9 + 9

⇒ h² = 18

⇒ h = √[ 9 × 2 ]

⇒ h = 3√2 .

Therefore the perimeter will be ,

⇒ P = 3√2 + 3 + 3 + 3 + 3

⇒ P = 3√2 + 12

⇒ P = 3( 4 + √2)

<h3>Hence the perimeter of the figure is 3(4+√2) .</h3>

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Square ABCD is shown below.

valentina_108 [34]

Answer:

35 is the length of BE

Step-by-step explanation:

2(2x + 5) = 8x - 50

4x + 10 = 8x -50

10+50 = 8x-4x

60= 4x

15 = x

2x + 5 = length of BE equal to length of DE

2(15) +5 = BE

30 +5

35 is the length of BE

6 0

3 years ago

Can you help with these two questions?

Lady bird [3.3K]

1) 155.91 grams would be left after 10 years

2) The population would be 376,478 in 2040

Step-by-step explanation:

The form of the exponential function is $y=a(b)^{x}$ , where

a is the initial amount (y at x = 0)
b is the growth/decay factor
b = 1 + r, where r is the rate of growth
b = 1 - r, where r is the rate of decay

Scientists are studying a 500 grams sample of a radioactive element, which has an annual decay rate of 11%

∵ The initial amount is 500 grams

∴ a = 500

∵ The annual decay rate is 11%

∴ r = 11% = 11 ÷ 100 = 0.11

∵ b = 1 - r ⇒ decay

∴ b = 1 - 0.11 = 0.89

- We need to find how many grams of the sample would be left

after 10 years

∴ x = 10

- Substitute all of these values in the form of the exponential function

∵ $y=500(0.89)^{10}$

∴ y = 155.9085996

- Round it to 2 decimal places

∴ y = 155.91

155.91 grams would be left after 10 years

In 2000, the population of an Ohio town was 140,212. The population is expected to grow at a rate of 2.5% each year

∵ The population of an Ohio town was 140,212

∴ a = 140.212

∵ The population is expected to grow at a rate of 2.5% each year

∴ r = 2.5% = 2.5 ÷ 100 = 0.025

∵ b = 1 + r ⇒ growth

∴ b = 1 + 0.025 = 1.025

- We need to find the population in 2040

∵ The number of years is 2040 - 2000 = 40 years

∴ x = 40

- Substitute all of these values in the form of the exponential function

∵ $y=140212(1.025)^{40}$

∴ y = 376478.1709

- Round it to the nearest whole number

∴ y = 376,478

The population would be 376,478 in 2040

Learn more:

You can learn more about the functions in brainly.com/question/11921476

#LearnwithBrainly

6 0

3 years ago

What is the quotient (3x^2+8x-3)/ (x+3)

Dvinal [7]

Answer:

The quotient ix 3x - 1.

Explanation:

Use Long division:

3x - 1 <------------quotient.

---------------------

x + 3) 3x^2 + 8x + 3

3x^2 + 9x

-------------

-x + 3

-x - 3

------

6 <---------remainder.

6 0

3 years ago

Find the inequality represented by the graph.

iris [78.8K]

Answer:

<h2> $x \geqslant \frac{y + 4}{3}$ </h2>

Explanation;

Associated line with this equation is:

y=mx+c

when,

X=0

y=-4

so, c=-4

X=1

y=-1

$- 1 = m- 4 \\ - m = - 4 + 1 \\ - m = - 3 \\ m =3 \\$

$y = 3x - 4 \\ or \: y + 4 = 3x \\ or \: \frac{y + 4}{3} = x$

Inequality representated by graph:

$x \geqslant \frac{y + 4}{3}$

Hope this helps...

Good luck on your assignment...

7 0

3 years ago

What is the APY of a savings account with an APR of 3.9742% compounded monthly? Answer to the four decimal place

Maurinko [17]

Answer:

The APY of the saving account is 4.0474%

Step-by-step explanation:

We know the formula for APY which is given by

$APY=(1+\frac{r}{n} )^n-1$

here, r= interset rate = 3.9742% = 0.039742

n = compounding cycles = 12

On plugging these values in the above formula, we get

$APY=(1+\frac{0.039742}{12} )^{12}-1$

On simplifying this we get

APY =0.04047395=4.0474%

6 0

3 years ago

Read 2 more answers