So the hypotenuse is the ladder's length, which is 6m, and the base of the 'triangle' is 1.5m. Therefore, you do 6^2 - 1.5^2 = 36 - 2.25 = 33.75. Then, you just square root it to get 5.80948m. Hope this helps!
Answer:
<h3><u>Part (a)</u></h3>
<u />
<u>Equation of a circle</u>
where:
- (a, b) is the center
- r is the radius
Given equation:
Comparing the given equation with the general equation of a circle, the given equation is a <u>circle</u> with:
- center = (0, 0)
- radius =
To draw the circle, place the point of a compass on the origin. Make the width of the compass 2.5 units, then draw a circle about the origin.
<h3><u>Part (b)</u></h3>
Given equation:
Rearrange the given equation to make y the subject:
Find two points on the line:
Plot the found points and draw a straight line through them.
The <u>points of intersection</u> of the circle and the straight line are the solutions to the equation.
To solve this algebraically, substitute into the equation of the circle to create a quadratic:
Now use the quadratic formula to solve for x:
To find the coordinates of the points of intersection, substitute the found values of x into
Therefore, the two points of intersection are:
Or as decimals to 2 d.p.:
(2.35, -0.85) and (-0.85, 2.35)
Answer:
the 1st, 2nd and 6th statements are true.
and probably the 3rd statement is true.
I am not sure about the 3rd statement, as I cannot read the original in your screenshot, and your transcribed description is probably not correct and contains typos.
but all you need is in the explanation below to decide, if the actual 3rd statement is true or not.
if "58 + 79 = 1268" actually means "5s + 7g = 1268" then it is true. otherwise it is false.
Step-by-step explanation:
g = number of general tickets sold
s = number of student tickets sold
so, in total
g + s = 234
tickets were sold.
and the revenue was
7g + 5s = $1,268
out of these 2 basic equating we get
g = 234 - s
and then
7(234 - s) + 5s = 1,268
1,638 - 7s + 5s = 1,268
-2s = -370
s = 185
g = 234 - s = 234 - 185 = 49
so, we know
185 student tickets were sold for 5×185 = $925
49 general tickets were sold for 7×49 = $343
Answer: True
Step-by-step explanation:
a variable (often denoted by y ) whose value depends on that of another. The temperature is depending on the electricity bill
We can say at month 0 she was 43 inches tall.
And at month 18 she was 52 inches tall.
We can say that x is the number of months and y is her height.
Rise/run
y2-y1/x2-x1
52-43/18-0
9/18
1/2
So the slope is 1/2 (which is what you are looking for.) and if you were to write an equation it would be y=1/2x+43
Brainliest my answer if it helps you out?