Answer
Find out the what is the clearance price of a manatee.
To prove
As given
The gift shop at manatee mall was having a clearance sale.
Everything was marked down 30%.
The original price of a manatee hat was $12.
30 % is written in the decimal form.
= 0.30
30% of the original price of a manatee = 0.30 × 12
= $ 3.6
Clearance price = original price - 30% of the original price
= 12 - 3.6
= $ 8.4
Therefore the clearance price be $8.4 .
Answer:
CD = 45
Step-by-step explanation:
CE = 180
( x + 6 ) + ( 4x - 21 ) = 180
5x - 15 = 180
5x = 195
x = 39
substitute x in CD
CD = x + 6
CD = 39 + 6
CD = 45
(a) The sum of length and width is half the perimeter, so the breadth in terms of length (x) in cm will be
.. breadth = 34 -x
(b) Then the expression for the area (in cm^2) is
.. area = length*breadth
.. 253 = (x)(34 -x)
.. x^2 -34x +253 = 0 . . . . . subtract the right side, eliminate parentheses
.. (x -11)(x -23) = 0 . . . . . . . factor
.. x = 11 or 23
The dimensions of the rectangle are 11 cm by 23 cm.
Answer:
B
Step-by-step explanation:
The volume (V) of the triangular prism is calculated as
V = area of triangular face × length
Area of triangle = 
bh ( b is the base and h the height )
Here b = 6 and h = 8, thus
Area = × 6 × 8 = 3 × 8 = 24 units², thus
V = 24 × 20 = 480 units³ → B
An obtuse triangle has one obtuse angle, or an angle that measures more than 90° but less than 180°. Options 1 and 2 are not correct, because these are acute angles.
So, one of the angles must be 40°, and the other may be 100° or 120°.
The measures of the angles in a triangle add up to 180°.
The other two angles are 40° and 100°.
