Answer:
Heather sent 28, Pablo sent 19, and Shen sent 76.
Step-by-step explanation:
This will be your equation
123 = H (Heather) + P (Pablo) + S (Shen)
This is the extra stuff
P + 9 = H
4P = S
Substitute so there is only P then use that to solve for the rest
123 = P + 9 + P + 4P
Then solve
123 = 6P + 9
123 - 9 = 6P + 9 - 9
114 = 6P
19 = P
Then substitute for the extra equations
19 (P) + 9 = 28 (H)
19 (P) * 4 = 76
18.) The area of one of the triangles would be half of the area of the parallelogram, because the two triangles are congruent.
20.) The formula for the area of a parallelogram is:
A = b • h
110.5 = 13h
110.5 / 13 = 8.5
110.5 = 13 • 8.5
And because this is a measurement of the height, not the area, it is just meters (m)
So, the full answer is 8.5 m
I hope this helps!
Answer:
What do you need help with?
Step-by-step explanation:
Answer:
A.) 2752.8 feet
B.) 5044.3 feet
C.) 6182.9 feet
Step-by-step explanation:
A.) Given that the camp to the base of the mountain is 2,000 feet. And the angle of elevation is 54 degrees
Using SohCahToa, to calculate the height
Tan 54 = height/2000
Height = 2000 tan54 = 2752.8 feet
B.) Given that the base of the mountain is 2600 feet wide.
Let use pythagorean theorem to find the slant length
Adjacent = 2600/2 = 1300 feet
Slant length = root ( 1300^2 + 2752.8^2)
Slant length = 3044.3 feet
The total distance that Jacob and his dad hiked from their campsite to the top of the mountain will be
3044.3 + 2000 = 5044.3 feet
C.) Given that the angle of depression is 24 degrees while the height is 2752.8 feet
Using pythagorean theorem again
Tan 24 = 2752.8/distance
Distance = 2752.8/tan24
Distance = 6182.9 feet
A)
<span>10, 15, 17, 19, 25 </span>
<span>Min: 10 </span>
<span>Median: 17 </span>
<span>Max: 25 </span>
<span>lower Quartile: (10+15)/2 = 12.5 </span>
<span>upper Quartile: (19+25)/2 = 22 </span>
<span>b) </span>
http://imageshack.us/photo/my-images/22/...
<span>c) </span>
<span>Mean: (10 + 15 + 17 + 19 + 25)/5 = 17.2 </span>
<span>[ ( 17.2 - 10 )^2 + ( 17.2 - 15 )^2 + ( 17.2 - 17 )^2 + ( 17.2 - 19 )^2 + ( 17.2 - 25 )^2 ] / 5 = 24.16 </span>
<span>√( 24.16 ) ≈ 4.92 </span>
<span>-------------- </span>
<span>4) </span>
<span>[ 4. . .-2 . . . -12 ------> 3R1 - 4R2 ----> R2 </span>
<span>3. . .-1 . . . -3 ] </span>
<span>[ 4. . .-2 . . . -12 ------> R1 - R2 ----> R1 </span>
<span>0. . .-2 . . . -24 ] </span>
<span>[ 4. . ..0 . . . .12 ------> R1/4 ----> R1 </span>
<span>0. . .-2 . . . -24 ] R2/-2 ----> R2 </span>
<span>[ 1. . ..0 . . . .3 </span>
<span>0. . .1 . . . 12 ] </span>
<span>x = 3 & y = 12
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
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