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liubo4ka [24]
3 years ago
7

A flagpole is 25 feet tall. A rope is tied to the top of the flagpole and secured to the ground 16 feet from the base of the fla

gpole. Draw the situation and then use the Pythagorean theorem to estimate the length of the rope to the nearest integer value
Mathematics
1 answer:
Lerok [7]3 years ago
8 0
As for the drawing, help yourself.

P. theorem -- a^2 + b^2 = c^2
a = 25
b = 16

so 25^2 + 16^2 = c^2
c^2 = 881
c = sqrt881
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A fair charges $7.25 for admission and $5.50 for a ride pass. Ten friends visited the fair. Not all of the friends purchased rid
kati45 [8]
You take
7.25 (10)+5.5p=105.5
72.5+5.5p=105.5
To make the equation easier multiply the whole equation by ten like this
(72.5+5.5p=105.5)10 that equals
725+55p=1055
Then subtract 725 to both sides
725+55p=1055
-725 -725
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55p=330
Then divide by 55 on both sides and that equals 6 so 6 people bought tickets
3 0
3 years ago
Read 2 more answers
Fill in the table using this function rule.<br> y= -4x+3
IRISSAK [1]

Answer:

you have to have the table to fill it in. each number on the table with be placed into x. for example: x=1 y=-4(1)+3 y=-1

(1,-1) on the table.

Step-by-step explanation:

6 0
3 years ago
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Use the given conditional statement to determine the converse and inverse statements. If a line is vertical, then it has undefin
Georgia [21]
1) Definitions:

1.1) Inverse statement: negating the hypothesis and the conclusion of the original statement, i.e.:

conditional statement: p → q

inverse: ~p → ~q (the symbol ~ means the negation)

1.2) Converse statement: switching the hypothesis and the conclusion of the conditional statement, i.e.:

conditional statement: p → q

converse: q → p

2)  converse of the given statement

conditional: <span>If a line is vertical, then it has undefined slope.

converse: switch the hypothesis and the conclusion

if a line has undefined slope, then it is vertical <------- answer

</span>3) Inverse of the given statement

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 </span>if a line is not vertical, then it does not have an undefined slope <---answer

8 0
3 years ago
If f(x)=4x-6 and the domain of f is {2,4,6}, what is the range of f(x)?
pychu [463]

f(x)=4x-6\\\\D=\{2,\ 4,\ 6\}\\\\R=\boxed{?}\\\\Calculate\ values\ of\ f(2),\ f(4)\ and\ f(6).\\\\Put\ the\ values\ of\ x\in\{2,\ 4,\ 6\}\ to\ the\ equation\ of\ the\ function:\\\\f(2)=4(2)-6=8-6=2\\f(4)=4(4)-6=16-6=10\\f(6)=4(6)-6=24-6=18\\\\Answer:\ The\ range\ is\ equal\ R=\{2,\ 10,\ 18\}\to\boxed{D.}

8 0
4 years ago
a culture started with 4,000 bacteria. after 7 hours,it grew to 5,200 bacteria. Predict how many bacteria will be present after
serious [3.7K]
Start with trying to figure out rate (r):
P = i•e^rt
5200 = 4000•e^(r•7)
5200/4000 = 1.3 = e^7r
ln 1.3 = ln (e^7r)
.262 = 7r•1, because the ln (e) = 1
r = .262/7 = .0375
Now that you have the rate, plug in that for r and 9 hours as the new t, with again our 4200 as the i
P = i•e^rt = 4200•e^(.0375•9)
P = 4200•1.401 = 5,886 bacteria
5 0
4 years ago
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