<h3>
Answer: Choice A) 1/3</h3>
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Work Shown:
x = preimage length = 12
y = image length = 4
z = scale factor
z = y/x
z = 4/12
z = (1*4)/(3*4)
z = 1/3
The scale factor is 1/3.
This means the image is 1/3 of the length of the preimage.
Answer:
Step-by-step explanation:
- sqrt(39) and square root 47
are the limits. The - square root of 39 is smaller than - 6. So the integer to use here is - 6
sqrt (47) = 6.686. Here the square root is larger than the closest integer.
The integer to use is 6
- 6 + 6 = 0
Answer:
Jalen is <u>11.18 miles</u> from his starting point.
Step-by-step explanation:
Given:
Jalen jogged 10 miles due north, then turned due west and jogged 5 more miles.
Now, to find miles Jalen jogged from his starting point.
So, below is the figure attached to describe the scene.
Now, to get the distance of Jalen jogged from his starting point we use pythagoras theorem:
<em>Using square root on both sides we get:</em>
Therefore, Jalen is 11.18 miles from his starting point.
Answer:
To the nearest cm
Width of the rectangle = 224cm
Step-by-step explanation:
Imagine a rectangle shape,
both opposite sides are equal, ie both lengths are equal and also applicable to the widths
Length is 2m
It's diagonal is 3m
The diagonal is a line that crosses from one length of a side to the other slantly, ie from one edge to the other, dividing the rectangle into two right angled triangles
The longest line will be the diagonal which is 3m
And the base length will be the length which is 2m
The width is what we are looking for which is represented with x
To solve this problem, we use Pythagoras' rule
x^2 = a^2 + b^2
Let x be diagonal side
a be length
b be the unknown width
Inserting into the formula
x^2 = a^2 + b^2
3^2 = 2^2 + b^2
9 = 4 + b^2
9 - 4 = b^2
5 = b^2
Square root of 5
b = 2.24m
The width = 2.24m
According to the question, we are asked to give the answer in nearest cm
Since 1cm = 0.01m
x cm = 2.24m
Then we cross multiply
1cm * 2.24m = xcm * 0.01m
x = 2.24 / 0.01
x = 224cm
The solution is:
Or
y ≥ 3 and y≤10
Further explanation:
The given inequality is compound inequality which is solved in two parts.
Given inequality is:
The two inequalities which will be formed are:
Solving one by one
The solution is:
Or
y ≥ 3 and y≤10
Keywords: Inequalities, Compound inequalities
Learn more about inequalities at:
#LearnwithBrainly
