Answer:
AB = 10.06 cm
Step-by-step explanation:
Consider the given figure,
We have to find the length of side AB.
Lets rename the figure first, ABCD forms a rectangle. So , CB = DA = 12 cm
Also, EA = ED +DA ⇒ 15 = ED + 12 ⇒ ED = 15 - 12 ⇒ ED = 3 cm
Pythagoras theorem states that in a right triangle the sum of square of base and perpendicular is equal to square of hypotenuse.
Using, Pythagoras Theorem on Δ EDC,
ED = 3 cm , EC = 10.5, Substitute, we get,
Solve for DC, we get,
Since, ABCD is a rectangle. Thus, DC = AB
Hence, AB = 10.06 cm
Answer:
AB =10.06 ≈10.1 units
Step-by-step explanation:
To answer this question we must draw a parallel line to the side AB, closing a triangle, so that we can visualize a triangle, and a square.
1) After drawing this red line. Since it's parallel we can assume it is the same length as AB. And as we have a Rectangular Triangle we can apply the Pythagoras Theorem.
The Parallelism assure us that the segment to the left below the red line measures the same if the angle is the same, namely 90º.
Since h=AB Therefore AB=10.06 units
L. A. =
we have a formula to find the lateral surface area of regular pyramid.
is the perimeter of the base of regular pyramid
is the slant height .
Dividing by 50 is the same as multiplying by 1/50, which is equivalent to 2/100.
The fraction 2/100 means we'll double 24000 to get 48000. Then remove 2 zeros at the end to get 480. The removal of two 0's is due to the division by 100.
Therefore, 24000/50 = 480
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Dividing by 5 will follow a similar pathway. We can multiply by 1/5 aka 2/10
24000/5 = 24000*(1/5) = 24000*(2/10) = 48000/10 = 4800
Notice the numerator doubled to 48000, and then we remove a zero at the end.
All of this can be done using pure mental math only. Each answer can be confirmed with a calculator.
Answer:
$1.20
Step-by-step explanation:
Mandy and Jordan each bought some of the same notebooks and the same three-ring binder.
Mandy paid for 3 notebooks and 1 binder = $5.85
Jordan paid for 2 notebooks and 1 binder = $4.65
Mandy paid more money for extra one notebook = 5.85 - 4.65
= $1.20
Therefore, the price of one notebook is $1.20.