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2 years ago

How do you reflect something over a directed line segment?

Mathematics

1 answer:

dolphi86 [110]2 years ago

5 0

Answer:

Identify the endpoints of the line segment.

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the figure is made up of a semicircle and a triangle. Find the area of the figure. Use pi equals 3.14

valentinak56 [21]

Answer:

The area of the figure is 63.25 square feet

Step-by-step explanation:

we know that

The area of the figure is equal to the area of semicircle plus the area of triangle

step 1

Find the area of semicircle

The area of semicircle is

$A_1=\frac{1}{2}\pi r^{2}$

we have

$r=10/2=5\ ft$ ----> the radius is half the diameter

$\pi =3.14$

substitute

$A_1=\frac{1}{2}(3.14)5^{2}$

$A_1=39.25\ ft^2$

step 2

Find the area of the triangle

The area of triangle is equal to

$A_2=\frac{1}{2}bh$

we have

$b=8\ ft\\h=6\ ft$

substitute

$A_2=\frac{1}{2}(8)(6)$

$A_2=24\ ft^2$

step 3

The area of the figure is equal to

$A=A_1+A_2$

substitute

$A=39.25+24=63.25\ ft^2$

5 0

3 years ago

If the scale on a map is inches/feet =2/10, how would the following lengths be represented?

Alex787 [66]

The answer is B 30 feet

7 0

3 years ago

Write the number below as a fraction in its simplest form 0.˙49˙9 (more clearer picture is attached here)

mars1129 [50]

Answer:

499/999

Step-by-step explanation:

The decimal number written is:

0.499...

Such that these 3 decimals are repeated as:

0.499499499...

Let's define this number as k

k = 0.499...

Let's multiply this number by 1000 (the same number of zeros as important decimals after the decimal point)

we get:

1000*k = (1000)*(0.499...) = 499.499...

Now we can subtract the original number k, so we get:

1000*k - k = 499.499... - 0.499...

In this way, we remove the part after the decimal point:

1000*k - k = 499.499... - 0.499...

(1000 - 1)*k = 499

999*k = 499

Now we can divide both sides by 999

(999*k)/999 = 499/999

k = 499/999

The fraction notation of our number is 499/999 (and this is the simplest form)

5 0

3 years ago

6x^3+3n^2+8n+4 factor the following polynomial

Archy [21]

Answer:

x1=((2√3)/3)i

x2=-0.5

x3=-((2√3)/3)i

Step-by-step explanation:

6 0

3 years ago

A credit union client deposits $3,300 in an account earning 6.5% interest, compounded annually. What will the balance of the acc

astra-53 [7]

Answer:

The balance of account at the end of 36 years is $31,849.29

Step-by-step explanation:

We are given the following in the question:

P = $3,300

r = 6.5% = 0.065

t = 36 years

The compound interest is given by:

$A = p\bigg(1+\dfrac{r}{n}\bigg)^{nt}$

where A is the amount, p is the principal, r is the interest rate, t is the time in years and n is the nature of compound interest.

Since interest is compounded annualy we use n = 1

$A = 3300\bigg(1+\dfrac{0.065}{1}\bigg)^{36}\\\\A = \$31,849.29$

Thus, balance of account at the end of 36 years is $31,849.29

6 0

2 years ago