Answer:
The measure of the largest angle:
120°
Step-by-step explanation:
The sum of the internal angles of a triangle = 180°:
2 + 3 + 10 = 15
then:
180/15 = 12
then, the measure of the largest angle:
10 * 12 = 120°
Answer:
700 Dollars
Step-by-step explanation:
The expression for solving this is I = prt
So lets start with P, that is our principal or amount of money we start with, and we want to multiply it by our rate, or r , which is 3.5, so we would do 5000 x 0.035 to get 175, then we multiply that by our time or t, which is 4 years, so 175 x 4 = 700 dollars :D
Ratio 1:2:3 means we have x, 2x and 3x as the three parts
x+2x+3x = 42
6x = 42
6x/6 = 42/6
x = 7
Since x = 7, this means 2x = 2*7 = 14 and 3x = 3*7 = 21
Dividing 42 into the ratio of 1:2:3 means we have 7:14:21 as the answer
If we divide all three parts of 7:14:21 by the GCF 7, we reduce it down to 1:2:3
As a check,
7+14+21 = 21+21 = 42
so it works out
Answer:
a+305/36
Step-by-step explanation:
Convert
3
1
4
3
1
4
to an improper fraction.
a
+
13
4
+
5
2
9
a
+
13
4
+
5
2
9
Convert
5
2
9
5
2
9
to an improper fraction.
a
+
13
4
+
47
9
a
+
13
4
+
47
9
To write
13
4
13
4
as a fraction with a common denominator, multiply by
9
9
9
9
.
a
+
13
4
⋅
9
9
+
47
9
a
+
13
4
⋅
9
9
+
47
9
To write
47
9
47
9
as a fraction with a common denominator, multiply by
4
4
4
4
.
a
+
13
4
⋅
9
9
+
47
9
⋅
4
4
a
+
13
4
⋅
9
9
+
47
9
⋅
4
4
Write each expression with a common denominator of
36
36
, by multiplying each by an appropriate factor of
1
1
.
a
+
13
⋅
9
36
+
47
⋅
4
36
a
+
13
⋅
9
36
+
47
⋅
4
36
Combine the numerators over the common denominator.
a
+
13
⋅
9
+
47
⋅
4
36
a
+
13
⋅
9
+
47
⋅
4
36
Simplify the numerator.
a
+
305
36
a
+
305
36
135 divided by 9 is 15 so there's 15 people in each group and this people 15 people will watch each movie.
