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Genrish500 [490]
2 years ago
9

What is the value of x in the equation 2x + 3y = 36, when y = 6?

Mathematics
2 answers:
Veseljchak [2.6K]2 years ago
7 0
Hope you understood pls give me the brainliest :)))

Gnoma [55]2 years ago
5 0

Step-by-step explanation:

when we puts the values

2x+3×6=36

2x=36-18

2x=18

x=18/2

x=9 hope ur help and mark me brainlist

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The circumference of the bike tire above is 83.524 inches. What is the radius of the bike tire? (Use 3.14 for .) A. 262.27 in B.
Shtirlitz [24]

Answer:

Option <u>C. 13.3 in</u>.

Step-by-step explanation:

Here's the required formula to find the radius of the bike tire :

\longrightarrow{\pmb{\sf{C_{(Circle)} = 2\pi r}}}

  • C = circumference
  • π = 3.14
  • r = radius

Substituting all the given values in the formula to find the radius of the bike tire :

\begin{gathered} \qquad{\longrightarrow{\sf{C_{(Circle)} = 2\pi r}}} \\  \\ \qquad{\longrightarrow{\sf{83.524 = 2 \times 3.14 \times  r}}}  \\  \\ \qquad{\longrightarrow{\sf{83.524 = 6.28 \times  r}}} \\  \\ \qquad{\longrightarrow{\sf{83.524 = 6.28r}}} \\  \\  \qquad{\longrightarrow{\sf{r =  \frac{83.524}{6.28}}}} \\  \\ \qquad{\longrightarrow{\sf{r  =  13.3 \: in}}} \\  \\ \qquad  \star{\underline{\boxed{\sf{\red{r  = 13.3 \: in}}}}}\end{gathered}

Hence, the radius of bike tire is 13.3 inches.

\rule{300}{2.5}

6 0
2 years ago
Read 2 more answers
A tunnel is built in form of a parabola. The width at the base of tunnel is 7 m. On
uysha [10]

Given:

The width at the base of parabolic tunnel is 7 m.

The ceiling 3 m from each end of the base there are light fixtures.

The height to light fixtures is 4 m.

To find:

Whether it is possible a trailer truck carrying cars is 4 m wide and 2.8 m high is going to drive through the tunnel.

Solution:

The width at the base of tunnel is 7 m.

Let the graph of the parabola intersect the x-axis at x=0 and x=7. It means x and (x-7) are the factors of the height function.

The function of height is:

h(x)=ax(x-7)             ...(i)

Where, a is a constant.

The ceiling 3 m from each end of the base there are light fixtures and the height to light fixtures is 4 m. It means the graph of height function passes through the point (3,4).

Putting x=3 and h(x)=4 in (i), we get

4=a(3)((3)-7)

4=a(3)(-4)

\dfrac{4}{(3)(-4)}=a

-\dfrac{1}{3}=a

Putting a=-\dfrac{1}{3}, we get

h(x)=-\dfrac{1}{3}x(x-7)              ...(ii)

The center of the parabola is the midpoint of 0 and 7, i.e., 3.

The width of the truck is 4 m. If is passes through the center then the truck must m 2 m on the left side of the center and 2 m on the right side of the center.

2 m on the left side of the center is x=1.5.

A trailer truck carrying cars is 4 m wide and 2.8 m high is going to drive through the tunnel is possible if h(1.5) is greater than 2.8.

Putting x=1.5 in (ii), we get

h(1.5)=-\dfrac{1}{3}(1.5)(1.5-7)

h(1.5)=-(0.5)(-5.5)

h(1.5)=2.75

Since h(1.5)<2.8, therefore the trailer truck carrying cars is 4 m wide and 2.8 m high is going to drive through the tunnel is not possible.

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Answer:

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Answer:

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