See the picture attached to better understand the problem
we know that
in the right triangle ABC
tan 64°=AB/AC------> AB=AC*tan 64°-----> AB=x*tan 64°---> equation 1
in the right triangle ABD
tan 43°=AB/DA----> AB=DA*tan 43°---> AB=(240+x)*tan 43°---> equation 2
equate equation 1 and equation 2
x*tan 64°-=(240+x)*tan 43°---->x*tan 64=240*tan 43+x*tan 43
x*[tan 64-tan 43]=240*tan 43-----> x=240*tan 43/[tan 64-tan 43]
x=200.22 ft
AB=x*tan 64----> AB=200.22*tan 64-----> AB=410.51 ft
the answer is410.51 ft
<h3>
Answer: Everything but the lower right hand corner</h3>
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Explanation:
Notice for the corners mentioned, we have the figures with corresponding angles that are the same (shown by similar arc markings) and they have congruent corresponding sides as well (aka they are the same length shown by similar tickmarks). Rotating one figure has it transform into the other.
The only time this does not happen is with the pair of figures in the bottom right hand corner. One square has side lengths of 20, the other has side lengths of 25. The two figures are not congruent due to the side mismatch.
Answer:
Step-by-step explanation:
The area of a trapezoid.
Answer:
Volume is the amount of space an object occupies. To determine the volume of any rectangular object, multiply the measurements of length, width, and height.
Volume = Length × Width × Height
Calculate the volume of this rectangular object.
Length = 3 cm
Width = 3 cm
Height = 12 cm
Volume = l × w × h
Volume = 3 cm × 3 cm × 12 cm
Volume = 108 cm3
Notice that the units for volume are cubic centimeters (cm3).
So 8 ÷ 25 = 0.32 and the units would be g/ cm3 . Other units of density could be g/L or g/ml or mg/ cm3 or kg/ m3 and the list could go on and on. Any unit of mass divided by any unit of volume.
Step-by-step explanation:
hope this helpa
Answer:
Option H
Step-by-step explanation:
<u>Step 1: Determine which option is correct</u>
Option F: The mode/most common number in Store 1 is 2 which the mode of Store 2 is 1. So... the first option is not correct.
Option G: The range for both of the data sets are 6. So... the second option is not correct.
Option H: The mean/average of Store 1 is 2.9 which the mean/average for Store 2 is 2. So... this option is correct because store 1 does have a higher mean than store 2.
Answer: Option H
