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3 years ago

8

Convert 240/98 to a proper fraction

1 answer:

IceJOKER [234]3 years ago

8 0

The answer is 2 22/49 you divide 240 by 98 which gives you 2 44/98 but you have to simplify it down to 2 22/49

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Find the perimeter of the figure

nalin [4]

Answer:

The perimeter is 66.9 units

Step-by-step explanation:

See the attached figure with letters to better understand the problem

step 1

In the right triangle ABD

<em>Find the length side AD</em>

$tan(33^o)=\frac{8}{AD}$ ----> by TOA (opposite side divided by the adjacent side)

$AD=\frac{8}{tan(33^o)}=12.3\ units$

Find the length side BD

$sin(33^o)=\frac{8}{BD}$ ---> by SOH (opposite side divided by the hypotenuse)

$BD=\frac{8}{sin(33^o)}=14.7\ units$

step 2

In the right triangle CDE

Find the length side CE

$cos(64^o)=\frac{CD}{CE}$ --> by CAH (adjacent side divided by the hypotenuse)

we have

$CD=BD/2=14.7/2=7.35\ units$

substitute

$CE=\frac{7.35}{cos(64^o)}=16.8\ units$

Find the length side DE

$tan(64^o)=\frac{DE}{CD}$ --> by TOA (opposite side divided by the adjacent side)

$DE=tan(64^o){7.35}=15.1\ units$

step 3

Find the perimeter of the figure

The perimeter is equal to

$P=AB+AD+BD+CE+DE$

substitute the values

$P=8+12.3+14.7+16.8+15.1=66.9\ units$

5 0

3 years ago

(x-y)^2/x^2-y^2 + 3/x+y - 2/x-y<br><br> Can anybody please simplify this?

Leona [35]

=−x2y2+x2−2xy+y2+2 is x2

7 0

3 years ago

Best Company sells personalized mugs for $18 each plus a fixed fee of $26 for shipping and handling for the entire order. The Cu

jeka57 [31]

Answer:

3

Step-by-step explanation:

8 0

3 years ago

4 1/3 - 1 2/3 how to solve this please

8_murik_8 [283]

Answer:

$2\frac{2}{3}$

Step-by-step explanation:

1) Convert $4\frac{1}{3}$ to improper fraction. Use this rule: $a\frac{b}{c} =\frac{ac+b}{c}$ .

$\frac{4\times3+1}{3} -1\frac{2}{3}$

2) Simplify 4 * 3 to 12.

$\frac{12+1}{3}$

3) Simplify 12 + 1 to 13.

$\frac{13}{3} -1\frac{2}{3}$

4) Convert $1\frac{2}{3}$ to improper fraction. Use this rule: $a\frac{b}{c} =\frac{ac+b}{c}$ .

$\frac{13}{3} -\frac{1\times3+2}{3}$

5) Simplify 1 * 3 to 3.

$\frac{13}{3} -\frac{3+2}{3}$

6) Simplify 3 + 2 to 5.

$\frac{13}{3} -\frac{5}{3}$

7) Join the denominators.

$\frac{13-5}{3}$

8) Simplify.

$\frac{8}{3}$

9) Convert to mixed fraction.

$2\frac{2}{3}$

(Decimal Form: 2.666667)

Thank you,
Eddie

3 0

2 years ago

What is the value of the digit 4 in the number 542,897,123

crimeas [40]

10 millions place. This is basic place value.

4 0

4 years ago