Angle PTG = arccos((18^2 + 13^2 - 27^2) / (2 x 18 x 13)) = arccos(-236 / 468) = arccos(-0.5043) = 120 degrees.

The triangle is an obtuse triangle (because one of the angles is greater than 90 degrees) and a scalene triangle (because all the sides are not equal).

6 0

3 years ago

Match the expressions given in words with their values when m=6.

Gemiola [76]

Answer:

Value of expression 1 = 3

Value of expression 2 = 42

Value of expression 3 = 15

Value of expression 4 = 2

Step-by-step explanation:

Expression 1 : the sum of m and 3 divided by the difference of m minus 3

Expression 1 $: \frac{m+3}{m-3}$

Substitute m = 6

So, value of expression 1= $\frac{6+3}{6-3}=3$

Expression 2 : the sum of 3 times m and 4 times m

Expression 2: 3m+4m

Substitute m = 6

So, value of expression 2=3m+4m=3(6)+4(6)=42

Expression 3 : the difference of the product of 3 and m minus the quotient of m divided by 2

Expression 3: $3m-\frac{m}{2}$

Substitute m = 6

So, value of expression 2= $3m-\frac{m}{2}=3(6)-\frac{6}{2}=15$

Expression 4 :the quotient of 6 divided by the difference of m minus 3

Expression 4: $\frac{6}{m-3}$

Substitute m = 6

So, value of expression 4= $\frac{6}{m-3}=\frac{6}{6-3}=2$

4 0

3 years ago

Carlos has dimes and quarters in his

Iteru [2.4K]

Answer:

9 Quarters, 3 dimes

Step-by-step explanation:

$2.00 = 8 quarters

25cents = 1 quarter

$2 + 25 cents = $2.25

2.55 - 2.25 = .30

30cents = 3 dimes.

Hope this is right.

There were many ways to do this. But this is 1 way.

soooo ya...

7 0

3 years ago