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nata0808 [166]
4 years ago
8

Which of the following statements best describes the value of the expression 6x + 7 when x = 5?

Mathematics
1 answer:
Hunter-Best [27]4 years ago
5 0

Answer:

Add

7 to both sides.

6x=5+76x=5+7

2 Simplify  5+75+7  to  1212.

6x=126x=12

3 Divide both sides by 66.

x=\frac{12}{6}x=

​6

​

​12

​​

4 Simplify  \frac{12}{6}

​6

​

​12

​​   to  22.

x=2x=2

Done

Step-by-step explanation:

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A rope of length 18 feet is arranged in the shape of a sector of a circle with central angle O radians, as shown in the
creativ13 [48]

Answer:

A(\theta)=\frac{162 \theta}{(\theta+2)^2}

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Let

r ---> the radius of the sector

s ---> the arc length of sector

Find the radius r

we know that

2r+s=18

s=r \theta

2r+r \theta=18

solve for r

r=\frac{18}{2+\theta}

step 2

Find the value of s

s=r \theta

substitute the value of r

s=\frac{18}{2+\theta}\theta

step 3

we know that

The area of complete circle is equal to

A=\pi r^{2}

The complete circle subtends a central angle of 2π radians

so

using proportion find the area of the sector by a central angle of angle theta

Let

A ---> the area of sector with central angle theta

\frac{\pi r^{2} }{2\pi}=\frac{A}{\theta} \\\\A=\frac{r^2\theta}{2}

substitute the value of r

A=\frac{(\frac{18}{2+\theta})^2\theta}{2}

A=\frac{162 \theta}{(\theta+2)^2}

Convert to function notation

A(\theta)=\frac{162 \theta}{(\theta+2)^2}

6 0
4 years ago
What is the slope no games please i will report!
NNADVOKAT [17]
Here the slope is 2/6
8 0
3 years ago
Read 2 more answers
Find the total surface area of this cuboid
Harman [31]

Step-by-step explanation:

☄ \underline{ \underline{ \sf{Given}}}:

  • Length ( l ) = 4 cm
  • Width ( w ) = 2 cm
  • Height ( h ) = 5 cm

☄ \underline{ \underline{ \sf{To \: find}}} :

  • Total surface area of a cuboid

❅\underline{ \underline{ \text{Solution}}}:

✑ \boxed{ \text{TSA = 2lw + 2lh + 2hw}}

Plug the known values :

⟼ \sf{2 \times 4 \times 2 + 2 \times 4 \times 5 + 2 \times 5 \times 2}

⟼ \sf{16 + 40 + 20}

⟼ \boxed{\sf{76 \:  {cm}}^{2} }

\red{ \boxed{ \boxed{ \tt{⟿ \: Our \: final \: answer : 76 \:  {cm}}^{2} }}}

Hope I helped !♡

Have a wonderful day / night ! ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

4 0
3 years ago
Please HELP ASAPAPPPP!!?!!??
NISA [10]

Answer:

36 - 18 longest side = 18

Step-by-step explanation: This would mean both sides are 18.

7 0
3 years ago
DROP AN ANSWER PLSSSS!!!!!!!!!
Illusion [34]

Answer:

The answer is B

Step-by-step explanation:

5 0
3 years ago
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