Answer:
<h2>height = 12 cm</h2>
Step-by-step explanation:
Area of a triangle is given by
where
b is the base
h is the height
From the question
Area = 21 m²
The statement
The height of a triangle is 8 m more than the length of the base is written as
h = 8 + b
Make b the subject
That's
b = h - 8
Substitute the expression into the above formula and solve for the height
That's
Multiply through by 2
h² - 8h = 48
h² - 8h - 48 = 0
(h + 4)(h - 12) = 0
h + 4 = 0 h - 12 = 0
h = - 4 h = 12
Since the height cannot be a negative number we have the final answer as
<h3>height = 12 cm</h3>
Hope this helps you
So x=11
So 3/11=33-4=29 =2/11=22+7=29
Hey!
There are two ways to solve this problem, I have showed you both of them below:
Method 1 -:
So we know that the x-intercept of the line is at (-5,0) and the y-intercept is at (0,-2). The most common form of the equation of a line is the slope-intercept form which is written as y=mx+b. In this equation, y and x are two points on the line, m is the slope and b is the y-intercept.
We are given the value of b which is -2. We also know two points on the line so we can find the slope. The formula for slope is (y2-y1)/(x2-x1). We can now plug in the points into the equation and get (0-(-2)/(-5-0). This simplifies to -2/5. That is your slope.
Now that we know this, we have solved for everything we need for writing the equation of the line. The equation of the line is:
y = (-2/5)x - 2
Method 2 -:
This method is a bit easier but will still give you the same result. Since you already know the y-intercept as -2, you know the value of b. You also have atleast one point so you can just plug it into the equation y = mx + b.
Now you can just plug in a point for x and y. We also know the x-intercept and that might be easier to use for solving. The x-intercept is (-5,0) and we can plug this into the equation to get 0 = m(-5) + (-2). We can now rewrite this as 0 = -5m - 2.
The next thing we do is solve for x:
0 = -5m - 2
2 = -5m
-2/5 = m
Now we know that m = -2/5, we can put this into the equation along with the y-intercept to get our answer.
y = (-2/5)x - 2
<h3>
Answer: 1440 degrees</h3>
===================================================
Explanation:
See the diagram below. It shows there are 10 sides, so n = 10.
We'll plug this value of n into the formula below to find the sum of all ten interior angles
S = sum of interior angles
S = 180(n-2)
S = 180(10-2)
S = 180(8)
S = 1440 degrees
---------------
A different approach:
Let's assume this polygon is a regular polygon. This means each angle is congruent to one another.
We have n = 10 sides, so each exterior angle is E = 360/n = 360/10 = 36 degrees.
Each interior angle adjacent to this 36 degree exterior angle is
180-E = 180-36 = 144 degrees
Since we have 10 equal angles of 144 degrees each, so overall the interior angles add to 10*144 = 1440 degrees
Side note: if this polygon is not a regular polygon, then this section does not apply. You would use the first method instead.
Answer:
I hope this helps!!
Step-by-step explanation:
We have given that : numbers - 9 over 7, 5 over 3, 3 over 2, 6 over 4
To find : which are terminating decimal
Terminating decimals are those whose figures to the right of some place are zero or have an end.
Solution : we check one by one,
1) 9 over 7 = 9/7 = 1.285714285714285714.... -Non terminating
2) 5 over 3 = 5/3 = 1.666666666666666...... -Non terminating
3) 3 over 2 = 3/2 = 1.5 - Terminating
4) 6 over 4 = 6/4= 3/2 = 1.5 - Terminating
I'm sorry if this is wrong :(
