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3 years ago

5/6 1/2 common denominators

Mathematics

2 answers:

Sindrei [870]3 years ago

7 0

Answer:

Step-by-step explanation:

5/6=5/6

1/2=3/6

2,4,6

nlexa [21]3 years ago

3 0

Answer: LCD = 6

Step-by-step explanation:

5/6 turns into 5/6

1/2 turns into 3/6

Multiply 1*3 and 2*3 and get 3/6

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Please help me with this

anastassius [24]

Answer:

(4, 5) -> (5,2)

(-3, 3) -> (-2, 0)

(-4, 5) -> (-3,2)

Step-by-step explanation:

The triangle is translated 1 unit(s) to the right and 3 unit(s) down.

3 0

3 years ago

Determine the number of possible solutions for a triangle with B=37 degrees, a=32, b=27

vladimir1956 [14]

Answer:

Two possible solutions

Step-by-step explanation:

we know that

Applying the law of sines

$\frac{a}{sin(A)}=\frac{b}{Sin(B)}=\frac{c}{Sin(C)}$

we have

$a=32\ units$

$b=27\ units$

$B=37\°$

step 1

Find the measure of angle A

$\frac{a}{sin(A)}=\frac{b}{Sin(B)}$

substitute the values

$\frac{32}{sin(A)}=\frac{27}{Sin(37\°)}$

$sin(A)=(32)Sin(37\°)/27=0.71326$

$A=arcsin(0.71326)=45.5\°$

The measure of angle A could have two measures

the first measure-------> $A=45.5\°$

the second measure -----> $A=180\°-45.5\°=134.5\°$

step 2

Find the first measure of angle C

Remember that the sum of the internal angles of a triangle must be equal to $180\°$

$A+B+C=180\°$

substitute the values

$A=45.5\°$

$B=37\°$

$45.5\°+37\°+C=180\°$

$C=180\°-(45.5\°+37\°)=97.5\°$

step 3

Find the first length of side c

$\frac{a}{sin(A)}=\frac{c}{Sin(C)}$

substitute the values

$\frac{32}{sin(37\°)}=\frac{c}{Sin(97.5\°)}$

$c=Sin(97.5\°)\frac{32}{sin(37\°)}=52.7\ units$

therefore

the measures for the first solution of the triangle are

$A=45.5\°$ , $a=32\ units$

$B=37\°$ , $b=27\ units$

$C=97.5\°$ , $b=52.7\ units$

step 4

Find the second measure of angle C with the second measure of angle A

Remember that the sum of the internal angles of a triangle must be equal to $180\°$

$A+B+C=180\°$

substitute the values

$A=134.5\°$

$B=37\°$

$134.5\°+37\°+C=180\°$

$C=180\°-(134.5\°+37\°)=8.5\°$

step 5

Find the second length of side c

$\frac{a}{sin(A)}=\frac{c}{Sin(C)}$

substitute the values

$\frac{32}{sin(37\°)}=\frac{c}{Sin(8.5\°)}$

$c=Sin(8.5\°)\frac{32}{sin(37\°)}=7.9\ units$

therefore

the measures for the second solution of the triangle are

$A=45.5\°$ , $a=32\ units$

$B=37\°$ , $b=27\ units$

$C=8.5\°$ , $b=7.9\ units$

6 0

3 years ago

The length of a photograph is 3cm less than twice the width. The area is 54cm^2. Find the dimensions of the photograph.

REY [17]

W= width
l= length= 2w-3

Area= length * width
A= lw
substitute l=2w-3 for l
54= (2w-3)(w)
54= 2w^2 - 3w
subtract 54 from both sides
0= 2w^2 - 3w - 54
factor the polynomial
0= (2w + 9)(w - 6)

Set each set of parentheses equal
to 0 and solve for width.

0=2w+9
-9=2w
-4.5= w NEGATIVE VALUE

0=w-6
6 cm=w

-4.5 is not the answer because it has a negative value. You cannot have a negative side of a photograph. So substitute 6 in to find length.

length= 2w-3
l= 2(6)-3
l= 12-3
l= 9 cm

CHECK:
w= 6cm
l= 9cm
Area= length * width
54= 6*9
54= 54

ANSWER: width= 6cm; length= 9cm

Hope this helps! :)

4 0

3 years ago

The equation shows a number multipled by 8. n x 8 = Which is true about the product?

ikadub [295]

Answer:

It is a multiple of 8

Step-by-step explanation:

The product may or may not be a factor of 8. We usually think of the factors of an integer as being positive integers, so the factors of 8 would be 1, 2, 4, or 8. If 8n is to be a factor of 8, then n must be 1/8, 1/4, 1/2, or 1. This will not be the case in general.

The product of 8 and any number is a multiple of 8. (Again, we usually think of a multiple of 8 as being an integer, which would require the number n to be an integer.)

No product of two (integer) numbers is a prime number. If 8n is to be a prime, then the value of n must be <em>(some prime number)/8</em>. Again, this will not be the case in general.

n is a factor of the product; not the other way around.

5 0

3 years ago

An airplane is traveling at a speed of 200 km/h. Identify the correct conversion factor setup required to compute the speed of t

Reptile [31]

Answer:

The correct conversion is B)

B) 200km 1hr x 1000m 1km x 1hr 60min x 1min 60s

Hence,

200 km/h ⇒ $\dfrac{200 \times 1000}{60\times 60}=55.56\ m/s$

Step-by-step explanation:

Given:

An airplane is traveling at a speed of 200 km/h.

The correct conversion is B)

B) 200km 1hr x 1000m 1km x 1hr 60min x 1min 60s

Reason:

For Converting Speed unit km/h ⇒ m/s

First we need to convert km ⇒ meter

So 1 km = 1000 meter

Secondly, in hour ⇒ seconds first we need to convert it into minutes then to seconds

hour ⇒ minute ⇒ seconds

So 1 hour = 60 minute and 1 minute = 60 seconds

Therefore, 1 hour = 60 min × 60 sec

Hence,

200 km/h ⇒ $\dfrac{200 \times 1000}{60\times 60}=55.56\ m/s$

8 0

3 years ago