Answer:
DE = 13.4 cm (to 1 decimal place)
Step-by-step explanation:
Given: ABCD is a square
BC = AC = 12 cm (opposite sides of a square are congruent)
E is midpoint of BC (given)
BE = EC = 12/2 = 6 cm
CD = AB = 12 cm (opposite sides of a square are congruent)
angle ECD is a right angle (interior angles of a square are 90 deg.)
Consider right triangle ECD
DE = sqrt(EC^2+CD^2) ............. pythagorean theorem
= sqrt(6^2+12^2)
= sqrt ( 36+144 )
= sqrt (180)
= 2 sqrt(45)
= 13.416 (to three dec. places)
Answer:
is will cost 200 dollars by memorial dsy
The size of ∠QTW in degrees is 72°. See the explanation below. This is based on the concept of opposite sides in a quadrilateral.
<h3>What is the logic leading to the above result?</h3>
QSUWY which is a pentagon is regular that mean:
∠QYW = 108°
The quadrilateral QTWY is a cyclic one. This means that we can apply the rule that states that opposites sides must add up to 180°
Thus, ∠QTW =
180 - 108
= 72°
<h3>What is a quadrilateral?</h3>
A closed quadrilateral has four sides, four vertices, and four angles. It is a form of polygon.
In order to create it, four non-collinear points are joined. Quadrilaterals always have a total internal angle of 360 degrees.
Learn more about Quadrilateral at;
brainly.com/question/23935806
#SPJ1
Full Question:
See the attached image for missing details.
Area of triangle = (1/2)*base*height
20.335 = (1/2)*base*8.3
2*20.335 = base*8.3
(2*20.335) / 8.3 = base Use your calculator.
4.9 = base
base = 4.9cm
Answer:
428 square inches
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Surface area of a prism: 2wl +2lh+2hw
Where w is the width of the prism; l the length; and h the height.
Replacing with the values given:
S (smaller prism) = 2 (4x6) + 2(6x2)+ 2(2x4)=48+24+16= 88 in2
S (larger prism) = 2 (8x10) +2 (10 x5)+2(5x8)= 160+100+80=340in2
Adding both surface areas:
88+340 =428 in2
Feel free to ask for more if needed or if you did not understand something.
