The area of the triangle shown is represented by A=s(s−14)(s−12)(s−6)−−−−−−−−−−−−−−−−−−−−√A=s(s−14)(s−12)(s−6), where s is equal to half the perimeter. What is the height h of the triangle? Round your answer to the nearest hundredth.
Answers
Answer:
[tex]h=5.11ft[/tex]
Step-by-step explanation:
[tex]S=12+6+14/2=16[/tex]
[tex]area ~A= \sqrt{s(s-14)(5-12)(5-6)}[/tex]
[tex]area=\sqrt{16(16-14)(16-12)(16-6)}[/tex]
[tex]A=\sqrt{16×2×4×10}[/tex]
[tex]A=35.70[/tex]
[tex]A=1/2× base~×height[/tex]
[tex]35.70=1/2×14×h[/tex]
[tex]h=2×35.75/14[/tex]
[tex]h=5.11ft[/tex]
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Related Questions
83. A student estimated the height of a tree as 47
feet. If the actual height is 53 feet, what is the
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(Hint: Compare the estimated height to the actual
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7. A box contains 10 black, 12 white, and 18 red balls. One ball is drawn at
random and replaced. (a) Find the theoretical probability that the ball
drawn is black. (b) Balls are chosen and replaced 40 times. Look at the
table below, find the experimental probability that the ball drawn is black.
(c) Compare the experimental probability of the black ball drawn to its
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Table:
Color. Times picked
black. 15
white. 12
red. 13
Answers
Answer:
1. 10/40 = 1/4
1b. 15/40 = 3/8
1c. 10/40 = 1/4 and 15/40 = 3/8
Step-by-step explanation:
1. So since there are 40 balls (18 + 12 + 10) and 10 of those balls are black the theoretical probability would just be 10 over 40, ([tex]\frac{10}{40}[/tex]).
1b. On the table there are 15 black balls so that would be, [tex]\frac{15}{40}[/tex].
1c. The theoretical probability is 1/4 and the experimental probability is 3/8.
y = a( x-h)^2 + k
h is the _______________________ shift.(+ shifts __________, shifts __________)k is the _______________________ shift. (+ shifts __________, shifts __________)If a is negative, the function is ____________________ across the ____- ________a1represents a vertical ________________________.a0 1represents a vertical ______________________.
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Answers
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Answers
Answer: part A is 1 and part B is 14
Step-by-step explanation:
Find the trig ratio. Reduce to
lowest terms.
6
А
8
[?]
sin A
US
Answers
Answer:
[tex]\frac{3}{5}[/tex]
Step-by-step explanation:
GIVEN :-
Measure of side opposite to ∠A (Perpendicular) = 6 unitsMeasure of side adjacent to ∠A (Base) = 8 unitsTO FIND :-
sin AFACTS TO KNOW BEFORE SOLVING :-
[tex]Hypotenuse = \sqrt{(Base)^2 + (Perpendicular)^2}[/tex][tex]\sin A = \frac{Side \: opposite \: to \: A}{Hypotenuse}[/tex]PROCEDURE :-
Measure of perpendicular of triangle = 6 units
Measure base of triangle = 8 units
Measure of Hypotenuse = [tex]\sqrt{(6)^2 + (8)^2} = \sqrt{36 + 64} = \sqrt{100} = 10 \: units[/tex]
Side opposite to ∠A = Perpendicular of triangle = 6 units
∴ sin A = [tex]\frac{6}{10} = \frac{3}{5}[/tex]
20 POINTS HELP FAST
Administrators surveyed students enrolled in a new school in order to choose the school mascot. There are 480 students enrolled in the school. What is the proportion needed to calculate the average number of students that chose the lion for the mascot?
Mascot Survey
Sample 1
Sample 2
Ducks
12
Ducks
8
Grizzlies
24
Grizzlies
30
Lions
20
Lions
22
Silverbacks
16
Silverbacks
12
StartFraction 21 over 72 EndFraction = StartFraction x over 480 EndFraction
StartFraction 72 over 21 EndFraction = StartFraction x over 480 EndFraction
StartFraction 42 over 72 EndFraction = StartFraction x over 480 EndFraction
StartFraction 20 over 22 EndFraction = StartFraction x over 480 EndFraction
Answers
Answer:
its D.
Step-by-step explanation:
(28.5-5. 190)-2
5-2
23
228
Answers
hay here is your answer and hope it's clear :) and if it's not clear [ download photo math] it maybe helpful for you ;)
Solvex2
- 4x=21
using the zero product property.
Answers
Answer:
The answer is (x + 3) (x - 7) = 0
Step-by-step explanation:
x² - 4x = 21
x² - 4x - 21 = 0
x² - 7x + 3x - 21 = 0
x(x - 7) + 3(x - 7) = 0
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-TheUnknownScientist
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a concert has 6 selections. there are 515 seats in each selection. about how many seats are in the concerts hall
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
Calculate the perimeter of the following shape.
6cm
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Answers
Answer:
The perimeter is the length of the outline of a shape. To find the perimeter of a rectangle or square you have to add the lengths of all the four sides.
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In one game there are 85 spins.
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Step-by-step explanation:
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Answers
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Answers
Answer:
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Step-by-step explanation:
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Answers
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51000.
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Answers
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Step-by-step explanation:
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(3*x)-5=3
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