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alekssr [168]
3 years ago
15

In this fulcrum, the weights are perfectly balanced. How far must the fulcrum be located from the 40 lb. weight if the bar is 9

feet long?

Mathematics
2 answers:
Elis [28]3 years ago
5 0

Answer:

x=5\ ft

Step-by-step explanation:

we know that

The bar is 9 feet long

so

x+(x-1)=9

Solve for x

2x-1=9

2x=10

x=5\ ft

Verify

40x=50(x-1)

substitute the value of x

40(5)=50(5-1)

40(5)=50(4)

200=200 -----> the weights are perfectly balanced

creativ13 [48]3 years ago
4 0
So...we can write eqn as

40x = 50(x-1)
so. -10x=-50
so. x=5

therefore .... the distance of 40 lb will be 5 ft ...answer !!!
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One-stray Problem Solving
anygoal [31]
A) 5000 m²
b) A(x) = x(200 -2x)
c) 0 < x < 100
Step-by-step explanation:
b) The remaining fence, after the two sides of length x are fenced, is 200-2x. That is the length of the side parallel to the building. The product of the lengths parallel and perpendicular to the building is the area of the playground:
A(x) = x(200 -2x)
__
a) A(50) = 50(200 -2·50) = 50·100 = 5000 . . . . m²
__
c) The equation makes no sense if either length (x or 200-2x) is negative, so a reasonable domain is (0, 100). For x=0 or x=100, the playground area is zero, so we're not concerned with those cases, either. Those endpoints could be included in the domain if you like.
3 0
2 years ago
Please help me! i really need it:( <br>this is geometry btw​
loris [4]

Answer:

The answer is A

Step-by-step explanation:

I solved using surface area

7 0
3 years ago
Suppose the first term of a geometric sequence is 3 and the fourth term is 192. What is the common ratio of the sequence? Write
gayaneshka [121]
An=A1 r ^(n-1)
192= 3 r ^(4-1)
192 = 3 r^3
64 = r^3
r = 4

equation:
An=3 (4)^(n-1)

6th term:
An= 3 (4)^(6-1)
An= 3072

I think this is right :)
3 0
3 years ago
Triangle A B C is shown. Angle A C B is a right angle. An altitude is drawn from point C to a point on side A B to form a right
mars1129 [50]

Answer:

BC=15\ units

Step-by-step explanation:

see the attached figure to better understand the problem

In the right triangle ABC

Applying the Pythagorean Theorem

AB^2=AC^2+BC^2

substitute the given values

17^2=8^2+BC^2

solve for BC

BC^2=17^2-8^2

BC^2=225

BC=15\ units

5 0
3 years ago
Read 2 more answers
Please answer quickly I only have 5 mins lol. The ratio of students polled in 6th grade who prefer lemonade to Iced tea is 8:4,
zhannawk [14.2K]

Answer:

Let total students who prefer lemonade is 2a and who prefer ice tea is a.

Students in 6th grade=39

2a+a=39

3a=39

a=39/3

a=13

students who prefer lemonate is 13

and those who prefer ice tea is 2a=26

4 0
2 years ago
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