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Naddika [18.5K]
3 years ago
10

Dividing my dog’s age by 4 and adding 6 is the same as dividing my dog’s age by 8 and adding 8.

Mathematics
1 answer:
sergiy2304 [10]3 years ago
4 0

Answer:

16

Step-by-step explanation:

a = age

  1. \frac{a}{4}  + 6 =  \frac{a}{8}  + 8
  2. you will multiply by 8 now
  3. 2a + 48 = a + 64
  4. now move a's with a's and the numbers that don't have a variable with each other
  5. 2a - a = 64 - 48
  6. now subtract
  7. a = 16
  8. I hope it helps you!

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find the area of each sector. Use the 3.14 as the value of pi. Round your answer to the nearest tenth.​ Part 4
Yuri [45]

Answer:

1) 378.1 in²

2) 8.4 m²

Step-by-step explanation:

Area of sector= \frac{θ°}{360°}  \times \pi {r}^{2}

1) Area of sector

=  \frac{150°}{360°} \times 3.14 \times  {17}^{2}  \\  = 378.1 \: in^{2}  \\ (nearest \: tenth)

2) Area of sector

\frac{60°}{360°}  \times 3.14 \times  {4}^{2}  \\  = 8.4 \: m^{2}  \\ (nearest \: tenth)

7 0
2 years ago
A circle is shown. Secants S V and T V intersect at point V outside of the circle. Secant S V intersects the circle at point W.
Marat540 [252]

<u>Given</u>:

Secants S V and T V intersect at point V outside of the circle. Secant S V intersects the circle at point W. Secant T V intersects the circle at point U.

The length of TU is (y - 2).

The length of UV is 8.

The length of SW is (y + 4)

The length of WV is 6.

We need to determine the length of line segment SV.

<u>Value of y:</u>

The value of y can be determined using the intersecting secant theorem.

Applying, the theorem, we get;

WV \times SV=UV \times TV

Substituting the values, we have;

6 \times (y+4+6)=8 \times (y-2+8)

   6 \times (y+10)=8 \times (y+6)

          6y+60=8y+48

        -2y+60=48

               -2y=-12

                   y=6

Thus, the value of y is 6.

<u>Length of SV:</u>

The length of SV is given by

SV=SW+WV

SV=y+4+6

SV=6+4+6

SV=16

Thus, the length of SV is 16 units.

Hence, Option D is the correct answer.

7 0
3 years ago
Read 2 more answers
#3022 geometry question
iragen [17]
1) is ABC and XYZ
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3 years ago
A person drives a car at a constant speed for 4 hours and 30 minutes, traveling 288 miles. Find the speed of the car in miles pe
JulsSmile [24]
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8 0
3 years ago
If using the method of completing the square to solve the quadratic equation
lubasha [3.4K]

Answer:

31.25

Step-by-step explanation:

The general form of a complete square would be (x + a)^2 + b

Given an equation of X^2 + 15X + 25 = 0,

the idea is to reduce it into the form if (X + C)^2

which can be expanded into X^2 + 2XC + C^2

In this case 15 will be our 2C So our c will be 7.5.

Substituting in these numbers,

We have X^2 + 15X + (7.5)^2 = 0

However our original equation has 25 for its C^2, thus

we need to add 31.25 in order to get (7.5)^2

<u>FYI</u>

The final completed form will be (X + 7.5)^2 - 31.25

5 0
3 years ago
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