Answer:
x must equal 5 and y must equal 2
therefore,
5a + 2b = 23 and
5a - 2b = 7.
I'm gonna take 5a + 2b = 23 and add 7 to each side:
5a + 2b + 7 = 30
and substitute 5a -2b in for 7 on the left side:
5a + 2b + (5a-2b) = 30
10a = 30
a = 3
Now we know a. Now take
5a -2b = 7
and substitute in 3 for a
5*(3) - 2b = 7
15 -2b = 7
8 = 2b
b = 4
a = 3 and b = 4
Step-by-step explanation:
Answer:
D. 5 inches
Step-by-step explanation:
Given:
A frozen dinner is divided into 3 sections on a circular plate with a 12-inch diameter.
That means complete angle having 360° is divided into 3 section.
The central angle formed by the peach cobbler is 105 degrees.
The central angle formed by the pasta is 203 degrees.
<u>Question asked:</u>
What is the approximate length of the arc of the section containing the peas?
<u>Solution:</u>
The central angle formed by the peas = 360° - 105° - 203°
= 52°

As we know:


Therefore, the approximate length of the arc of the section containing the peas are 5 inches.
For this case we have that by definition, the Pythagorean theorem states that:

Where:
a, b: Are the legs
c: It is the hypotenuse
According to the figure we have to:

Substituting in the formula we have:

Answer:
Option D
It is 12 liters. 2.75 gallons is approximately 10.41 liters and 12 liters is more than 10.41 liters.