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3 years ago

Can someone please answer. There is one question. There's a picture. Thank you!

Mathematics

1 answer:

stepan [7]3 years ago

5 0

By Cosine Rule:

CosT = (s² + r² - t²) /(2sr)

<span>CosT = (10² + 11² - 7²) /(2*11*10)
</span>
<span>CosT = 172 /220 </span>≈ 0.7818

T = Cos⁻¹(0.7818)

T ≈ 38.57°

T ≈ 38.6°

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What is the difference between a linear equation and a quadratic equation?(in 7 sentences)

Kaylis [27]

A linear equation in two variables doesn't involve any power higher than one for either variable. It has the general form Ax + By + C = 0, where A, B and C are constants. It's possible to simplify this to y = mx + b, where m = ( −A / B) and b is the value of y when x = 0. A quadratic equation, on the other hand, involves one of the variables raised to the second power. It has the general form y = ax2 + bx + c. Apart from the adding complexity of solving a quadratic equation compared to a linear one, the two equations produce different types of graphs.

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3 years ago

Write a rule for the linear function with the following description: the graph contains the points (3,-2) and (3,0),

Maslowich

Answer:

x - 3 = 0

Step-by-step explanation:

You can realise it plotting the points.

Or you can use : ( x - x1 ) / ( y - y1 ) = ( x1 - x2 ) / ( y1 - y2 )

where ( x1 , y1 ) and ( x2 , y2 ) are the given points.

3 0

3 years ago

Round each whole number to the given place value.

Kazeer [188]

We have to round each whole number to the given place value.

We have to round the number 437 to the tens place.

Since the digit at the tens place is 3.

Since the digit at its previous place that is ones place is '7' which is greater than 5.

Therefore, we can round the number 437 to 440.

Now, consider the another number 64,328, we have to round this number to the nearest ten thousand place.

Since the digit at ten thousands place is 6.

And the digit at its previous place that is, at thousands place is 4.

Since this number is less than 5.

Therefore, the given number will round to 60,000.

4 0

3 years ago

The radius of the base of a cylinder is decreasing at a rate of 121212 kilometers per second. The height of the cylinder is fixe

WARRIOR [948]

Answer:

7536 $km^3/sec$

Step-by-step explanation:

Given that:

Rate of decreasing of radius = 12 km/sec

Height of cylinder is fixed at = 2.5 km

Radius of cylinder = 40 km

To find:

The rate of change of Volume of the cylinder?

Solution:

First of all, let us have a look at the formula for volume of a cylinder.

$Volume = \pi r^2h$

Where $r$ is the radius and

$h$ is the height of cylinder.

As per question statement:

$r$ = 40 km (variable)

$h$ = 2.5 (constant)

$\dfrac{dV}{dt} = \dfrac{d}{dt}\pi r^2h$

As $\pi, h$ are constant:

$\dfrac{dV}{dt} = \pi h\dfrac{d}{dt} r^2\\\Rightarrow \dfrac{dV}{dt} = \pi h\times 2 r\dfrac{dr}{dt} \\$Putting the values:$\\\Rigghtarrow\dfrac{dV}{dt} = 3.14 \times 2.5\times 2 \times 40\times 12 \\\Rigghtarrow\dfrac{dV}{dt} = 7536\ km^3/sec$

4 0

3 years ago

Find the inverse function

Troyanec [42]

The inverse of the function is f(x) = $x^{3}$ + 8

In order to find the inverse of any function, start by switching the f(x) and x. Then solve for the new f(x). The result will be the inverse function. The work is below for you.

f(x) = $\sqrt[3]{x - 8}$ ----> Switch f(x) and x

x = $\sqrt[3]{f(x) - 8}$ ----> Cube both sides

$x^{3}$ = f(x) - 8 ----> Add 8 to both sides

f(x) = $x^{3}$ + 8

4 0

3 years ago