b)describe what the slope and y intercept represent.
The length of the other leg is __ in
The measures of the acute angles are : __ and __
General Idea:
By using the Pythagorean theorem which states that in a right triangle the sum of square of two legs is equal to the square of hypotenuse. We can find the length of the third side.
Given:
We can see shortest side a is 4 inches, hypotenuse is c is 8 inches and middle side is 4√3. This is quality of a special triangle. The smallest side (a) is opposite the smallest angle (30°), the middle side (b) is opposite the angle (60°) and the longest side (c) is opposite the largest angle (90°).
The triangle 30°-60° - 90° triangle will be of the ratio 1:√3:2.
Conclusion:
The length of the other leg is 4√3 in
The measures of the acute angles are : 30° and 60°
The answer is A) On a graph, find the point of intersection of two lines; the first line has y-intercept = 5 and slope = −3, and the second line has y-intercept = 2 and slope = 1.
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2x + 2y = 4
what is the solution of the system of equations?
Answer:
System of Linear Equations entered :
[1] 4x - 3y = 15
[2] 2x + 2y = 4
Step-by-step explanation:
// Solve equation [2] for the variable y
[2] 2y = -2x + 4
[2] y = -x + 2
// Plug this in for variable y in equation [1]
[1] 4x - 3•(-x +2) = 15
[1] 7x = 21
// Solve equation [1] for the variable x
[1] 7x = 21
[1] x = 3
// By now we know this much :
x = 3
y = -x+2
// Use the x value to solve for y
y = -(3)+2 = -1
Solution :
{x,y} = {3,-1}
Answer:
{3,-1}
Step-by-step explanation:
Good morning,
____________________
Answer:
____________________
Step-by-step explanation:
total surface = 6r² ⇔ 294=6r²
Then, r²=294÷6=49
Then r=√(49)=7
Therefore the volume = r³=7^(3)=343cm³.
_______________________________…
:)
Answer:
total surface area=6x^2
area=x^3
6x^2=294
x^2=294/6
x^2=49
x=SQR(49)
x=7
x^3=7^3
area=343