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2 years ago

Find the measure of a

Mathematics

1 answer:

barxatty [35]2 years ago

6 0

Answer:

Step-by-step explanation:

The law of cosines is useful here.

a^2 = 8^2 +11^2 -2·8·11·cos(32.2°) ≈ 36.070003

a ≈ √36.070003 ≈ 6.00583

a ≈ 6

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7x-2y=16 11x+6y=32.3<br>how to solve this math problem

Aneli [31]

Answer:

Step-by-step explanation:

These types of equations are called simultaneous equations and the method we can use to solve these type of equations is either Substitution, Elimination and Graphing.

We use substitution here because it is easier.

Equation 1

$7x-2y=16$

Equation 2

$11x+6y=32.3$

Lets take equation 1

$7x-2y=16\\7x=16+2y\\x=\frac{16+2y}{7}$

This is our equation 3 , now put it inside equation 2.

$11x+6y=32.3\\11(\frac{16+2y}{7} )+6y=32.3\\\frac{176+22y}{7} +6y=32.3\\\frac{176+22y+42y}{7}=32.3\\176+22y+42y=226.1 \\\\42y+22y=226.1-176\\64y=50.1\\y=\frac{50.1}{64} \\y=0.783\\$

We found the value of y , now to find the value of x insert the value of y in equation 3

$x=\frac{16+2y}{7}\\x=\frac{16+2(0.783)}{7} \\x=\frac{16+1.566}{7}\\x=\frac{17.566}{7}\\x=2.509$

Solved ! See the attached image on both the straight line graphs i have attached for better understanding. Where both the lines intersect each other is our value of (x , y) respectively.

6 0

2 years ago

Find the slope of the line that goes through each pair of points. (-1,7) and (5,7)

Georgia [21]

Answer:

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(7-7)/(5-(-1))

m=0/(5+1)

m=0/6

m=0

5 0

2 years ago

Procedure for this problem -8+(-24)

lana66690 [7]

Answer: - 32

Step-by-step explanation:

-8 + (-24)

Infront of the Positive is a one.

-8 +1 (-24)

If we follow order of operations which is parentheses, exponents, multiply divide, add, and subtract, we can see we need to multiply/ distribute first. And a positive times a negative is a negative.

-8 -24

Now we put the two numbers together.

-32

This is the answer

6 0

2 years ago

A rectangular painting measures 12 inches by 14 inches and contains a frame of uniform width around the four edges the perimeter

Amiraneli [1.4K]

Answer: 6in width

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

What is greater 66mm or 6cm

LuckyWell [14K]

66mm=6cm
So that means that any 66mm is 6cm point 6mm ===> 66cmm=6.6cm
Thus, 6cm is not greater but it is equal to 66mm
It's like you looking at 1yd=3feet which also means that 3feet=1yd.

7 0

2 years ago