shorter side : longer side = 3 : 7
Equate 3 parts tp 9 inches:
3 parts = 9 inches
Find 1 part:
1 part = 9 ÷ 3 = 3 inches
Find 7 parts:
7 parts = 3 x 7 = 21 inches
Area = Length x Width = 21 x 9 = 189 in²
Answer: The longer side is 21in and the area is 189 in²
9514 1404 393
Answer:
- 13 ft
- (a) 1 second; (b) t = 0, t = 1/2
Step-by-step explanation:
<h3>1. </h3>
Let w represent the length of the wire. Then the height of attachment is (w-1). The Pythagorean theorem tells us a relevant relation is ...
5² +(w -1)² = w²
w² -2w +26 = w² . . . . . . . eliminate parentheses, collect terms
26 = 2w . . . . . . . . . . . . add 2w
13 = w . . . . . . . . . . . . divide by 2
The length of the wire is 13 feet.
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<h3>2. </h3>
(a) When h = 0, the equation is ...
0 = -16t^2 +8t +8
Dividing by -8 puts this into standard form:
2t^2 -t -1 = 0
Factoring, we get ...
(2t +1)(t -1) = 0
The positive value of t that makes a factor zero is t = 1.
It will take 1 second for the gymnast to reach the ground.
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(b) When h = 8, the equation is ...
8 = -16t^2 +8t +8
Subtract 8 and divide by 8 to get ...
0 = -2t^2 +t
0 = t(1 -2t) . . . . factor out t
Values of t that make the factors zero are ...
t = 0
t = 1/2
The gymnast will be 8 feet above the ground at the start of the dismount, and 1/2 second later.
Answer:
Total number of not damaged = 451
C. 451
Step-by-step explanation:
In the first shipment, 6% of the 250 radios where damaged.
Number of damaged= 6/100 * 250
Number of damaged= 6*2.5
Number of damaged= 15 radios.
Number of not damaged= 250-15
Number of not damaged = 235 radios
In the second shipment, 4% of the radios were damaged
Let the number of second shipment= y
0.04 of y where damaged
Total number of radio damaged= 24
15 + 0.04y = 24
0.04y= 24-15
0.04y = 9
Y= 9/0.04
Y= 225
Number of radio in the second shipment= 225
Number of damaged in the second shipment= 0.04*225
Number of damaged in the second shipment= 9
Number of not damaged in the second shipment= 225-9
Number of damaged in the second shipment= 216
Total number of not damaged
= 235+216
= 451
Total number of not damaged= 451
Answer:
b=-8
Step-by-step explanation:
Sorry I don't have time to show work right now and write it down but this is the answer.
Answer:
6.67in long and 4.67in wide
Step-by-step explanation:
Given the amp of the scale 1 inch = 3 mi?
If the measured length is 20miles
Let x be the dimension of the length on the map
1 inch = 3 mi?
x = 20miles
3x = 20
x = 20/3
x = 6.67in
For the width,
Width =14miles
Let y be the dimension of the width on the map
1 inch = 3 mi
y = 14miles
3y = 14
y = 14/3
y = 4.67in
Hence the Yellowstone Lake appears 6.67in long and 4.67in wide on the Map
