Answer:
answer is 103
Step-by-step explanation:
25+52+x=180
x=77
subtract 180 - 77 = 103
answer is 103
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|4| > |1|
Absolute value of 4 is just 4, and the abosulute valvue of 1 is just 1.
So , since 4 is greater than 1 , that would be your answer.
4 > 1
We have to find the mass of the gold bar.
We have gold bar in the shape of a rectangular prism.
The length, width, and the height of the gold bar is 18.00 centimeters, 9.21 centimeters, and 4.45 centimeters respectively.
First of all we will find the volume of the gold bar which is given by the volume of rectangular prism:
Volume of the gold bar 
Plugging the values in the equation we get,
Volume of the gold bar 
Now that we have the volume we can find the mass by using the formula,

The density of the gold is 19.32 grams per cubic centimeter. Plugging in the values of density and volume we get:
grams
So, the mass of the gold bar is 14252.769 grams
Answer:
-9
Step-by-step explanation:
What b represents here is the y intercept.
The first thing we will do here is to find the slope.
Mathematically;
m = (y2-y1)/(x2-x1)
Plugging the values;
m = (12-3)/(7-4) = 9/3 = 3
The equation can thus be written as;
y = 3x + b
To get b, we can use any of the points since they lie on the line
Let’s use point M
Substitute the values of x and y in the equation
3 = 3(4) + b
3 = 12 + b
b = 3-12 = -9
Answer:

Step-by-step explanation:
If the angle θ is in radians, the formula for the area (A) of a sector of a circle is
A = ½r²θ
If θ is in degrees

Data:
θ = 49°
r = 11 cm
Calculation:
