Answer:
$2754.70
Step-by-step explanation:
The amount Cindy should increase for each dimension of the scaled model will be 12 meters.
<h3>What is the scale factor?</h3>
The scale factor is defined as the proportion of the new image's size to that of the previous image. decision-making.
Given that:-
- The scaled model of the container has dimensions of 2m by 4m by 6m. Cindy has decided to increase each dimension of the scaled model by the same amount in order to produce a container with a volume of 84 times the volume of the scale model.
The scale model will be solved as follows:-
Present volume = 2 x 4 x 6 = 48 cubic meters
Let the lengths be increased by x meters now the new volume will be:-
( 2 + x ) ( 4 + x ) ( 6 + x ) = 48 x 84
( x² + 6x + 8 ) ( 6 + x ) = 48 x 84
( x³ + 44x + 12x² - 3984 ) = 0
By solving the cubic equation we will get the value of x = 12 meters.
Therefore the amount Cindy should increase for each dimension of the scaled model will be 12 meters.
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Answer:
Width = 50ft
Length = 160ft
Step-by-step explanation:
Given parameter:
The perimeter of the flag is 420ft
Unknown:
Length of flag = ?
Width of flag = ?
Solution:
To solve this problem;
Perimeter of the flag is given as:
Perimeter = 2(Length + width)
Length =110 + Width
Now insert the parameters:
420 = 2(110 + Width + Width )
let w = width
420 = 2(110 + 2w)
420 = 220 + 4w
4w = 200
w = 50ft
Length = 110 + 50 = 160ft
Answer:
<u>Solutions given;</u>
<u>Using cosine rule</u>
b²=a²+c²-2*a*c*cos B°
b²=15²+8²-2*15*8*cos39
b²=102.48
b=
b=10.12
b=10.1
<u>Using sine rule</u>
<u>Doing criss cross multiplication</u>
Sin C=
m<C=Sin -¹(0.29)
m<C=14.98
<u>m<C=15°</u><u>is</u><u> </u><u>a</u><u> </u><u>required</u><u> </u><u>answer</u><u>.</u>
