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3 years ago

Tim x: 3x(x-2) + 2(2-x)=0

Mathematics

1 answer:

olganol [36]3 years ago

6 0

Answer:

Assuming this is the full problem.

3x^2-8x+4

Step-by-step explanation:

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Find X using the image.

Temka [501]

9514 1404 393

Answer:

x = 2

Step-by-step explanation:

The square of the tangent is equal to the product of the secant lengths to the near and far circle intersections.

(x +4)² = (2x -1)(2x -1 +9)

0 = (2x -1)(2x +8) -(x +4)² = (4x² +14x -8) -(x² +8x +16)

0 = 3x² +6x -24 = 3(x² +2x -8) = 3(x +4)(x -2)

This has solutions x = -4 and x = 2. Only the latter works in this geometry.

x = 2

7 0

3 years ago

1. Write the fraction 8/9 as a percent. Round to the nearest hundredth of a percent where necessary. A. 88.89% B. 1.13% C. 44.44

Nadusha1986 [10]

Answer:

1.A. 88.89

2.B.6.3%

3.C.64.92%

Step-by-step explanation:

1. $\frac{8}{9}=0.8888$

to covert it into percentage multiply it with 100

then it becomes 88.888

rounding off to the nearest hundred it becomes 88.89

2. to convert into percentage multiply it with 100

therefore 0.063×100=6.3%

3. to find percentage

%= (no of students using mobile / total no of students )× 100

= $\frac{792}{1200}$ ×100

=64.918

Rounding off to nearest hundred it becomes 64.92%

8 0

3 years ago

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Please help me out. find the sum using the number line

enyata [817]

Answer

-1

Step-by-step explanation:

4 0

3 years ago

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Gravel is being dumped from a conveyor belt at a rate of 10 cubic feet per minute. It forms a pile in the shape of a right circu

Sunny_sXe [5.5K]

Answer:

0.0221 feet per minute.

Step-by-step explanation:

$\text{Volume of a cone}=\dfrac{1}{3}\pi r^2 h$

If the Base Diameter = Height of the Cone

The radius of the Cone = h/2

Therefore,

$\text{Volume of the cone}=\dfrac{\pi h}{3} (\dfrac{h}{2}) ^2 \\V=\dfrac{\pi h^3}{12}$

Rate of Change of the Volume, $\dfrac{dV}{dt}=\dfrac{3\pi h^2}{12}\dfrac{dh}{dt}$

Since gravel is being dumped from a conveyor belt at a rate of 10 cubic feet per minute. Therefore, the Volume of the cone is increasing at a rate of 10 cubic feet per minute.

$\dfrac{dV}{dt}=10$ ft^3/min$

We want to determine how fast is the height of the pile is increasing when the pile is 24 feet high.

We have:

$\dfrac{3\pi h^2}{12}\dfrac{dh}{dt}=10\\\\$When h=24$ feet$\\\dfrac{3\pi *24^2}{12}\dfrac{dh}{dt}=10\\144\pi \dfrac{dh}{dt}=10\\ \dfrac{dh}{dt}= \dfrac{10}{144\pi}\\ \dfrac{dh}{dt}=0.0221$ feet per minute$

When the pile is 24 feet high, the height of the pile is increasing at a rate of 0.0221 feet per minute.

4 0

3 years ago

To which subset of real numbers does the number 1/3 belong?

Anvisha [2.4K]

Answer:

In mathematics, a rational number is any number that can be expressed as the quotient or fraction p/q of two integers, with the denominator q not equal to zero. Since q may be equal to 1, every integer is also a rational number.

Step-by-step explanation:

8 0

3 years ago

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