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enot [183]
3 years ago
8

Please help me if you don’t mind

Mathematics
1 answer:
AysviL [449]3 years ago
3 0

Answer:

x= 5

Step-by-step explanation:

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A Ferris wheel travels in a circular motion and measures 40 meters from the top car to the bottom car. What is the length of the
luda_lava [24]

Answer:

  20 m

Step-by-step explanation:

The distance from the top car to the bottom car is equal to the diameter of the wheel. The diameter is 40 m, and that is twice the radius. The radius of the Ferris wheel is (40 m)/2 = 20 m.

5 0
3 years ago
As notas de dois alunos X e Y estão representadas no quadro abaixo. Por meio da variância, qual deles apresentou ser o mais regu
Reil [10]

Answer:

Aluno X

Step-by-step explanation:

A nota média para os alunos X e Y são, respectivamente:

X_m=\frac{5+3+5+7}{4}=5 \\Y_m=\frac{4+9+4+3}{4}=5

A variância é definida pela seguinte expressão:

V=\frac{\sum(X_i-X_m)^2}{n-1}

Onde n é o numero de termos, neste caso, n = 4.

As variâncias para cada aluno são:

V_x=\frac{(5-5)^2+(3-5)^2+(5-5)^2+(7-5)^2}{4-1} \\V_x= 2.7\\V_y=\frac{(4-5)^2+(9-5)^2+(4-5)^2+(3-5)^2}{4-1} \\V_y= 7.3

O aluno X apresentou uma variância menor do que o aluno Y em suas notas e, portanto, apresentou ser o mais regular.

6 0
3 years ago
Question 13 (1 point),
Firlakuza [10]

13: Since f(1)=10, the sequence must start with 10. We have only one sequence starting with 10, and indeed it verifies f(n+1)=f(n)-2, i.e. the next term is 2 less than the previous one.

14: If y varies directly with x, then there is a constant of variation k such that

\dfrac{y}{x}=k \iff y=kx

In your case, F varies directly with m, with a constant of variation of 32.2, so we have

F=32.2m

7 0
4 years ago
Find the surface area of a cylinder. Solve this formula for h. Then find the height of the cylinder if the surface are is 251.2
mezya [45]

Answer:

The formula for 'h' is \frac{S.A.}{2\pi r}-r.

The height of the cylinder is 3 in.

Step-by-step explanation:

Given,

Surface Area of Cylinder = 251.2 sq. in.

Radius = 5 in

We have to find out the height of the cylinder.

Solution,

We know that the Surface area of cylinder is given as;

Surface\ Area = 2\pi r(h+r)

Here 'r' is the radius and 'h' is the height.

We have to solve this for 'h'.

\frac{S.A.}{2\pi r}=h+r\\\\h=\frac{S.A.}{2\pi r}-r

Hence The formula for 'h' is \frac{S.A.}{2\pi r}-r.

Now we solve for 'h'.

Since h=\frac{S.A.}{2\pi r}-r

On putting the given values, we get;

h=\frac{251.2}{2\times3.14\times5}-5=8-5=3\ in

Hence The height of the cylinder is 3 in.

3 0
3 years ago
Please explain fully and i give brainiest thanks and 5 stars
otez555 [7]

Answer:

a=7,\\b=3

Step-by-step explanation:

The area of a rectangle is equal to A=l\cdot w, where l is the length of the rectangle and w is the width of the rectangle. In a rectangle, opposite sides are equal.

Therefore, we can write the following system of equations:

\begin{cases}a\cdot (9+b)=84,\\a\cdot b=21\end{cases}

Expand the first equation:

9a+ab=84

Substitute the second equation into the first (ab=21):

9a+21=84,\\9a=63,\\a=\boxed{7}

Solving for b:

7b=21,\\b=\frac{21}{7}=\boxed{3}

8 0
3 years ago
Read 2 more answers
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