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3 years ago

Question 6 of 9 (3.8).1 = 3. (8.1) O A. True O B. False

Mathematics

1 answer:

Helen [10]3 years ago

3 0

A true because this is an example of the Associative Property by moving the parentheses but having the same outcome.

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Determine the inverse of f(x)=3x+4 algebraically

Fed [463]

Answer:

1/3x +4

is the inverse of f(x) = 3x + 4.

Check:

The purpose of the inverse property of multiplication is to get a product of one. So the inverse multiplied with the original number (or equation) should give us the product of one.

1 / (3x + 4) * 3x + 4 = 3x+4 / 3x+ 4 = 1

7 0

3 years ago

When the sun has risen 32 degrees above the horizon, Sandy casts a shadow that is 9 feet 2 inches long. How tall is Sandy, to th

Makovka662 [10]

Answer:

The height of Sandy is 68.74 inches.

Step-by-step explanation:

It is given that the sun has risen 32 degrees above the horizon. It means the angle of elevation is 32°.

Let the height of Sandy be x.

Sandy casts a shadow that is 9 feet 2 inches long.

We know that 1 feet = 12 inches

Using this conversion, we get

Shadow = 9 feet 2 inches = 9(12)+2 = 110 inches

In a right angled triangle,

$\tan\theta =\frac{perpendicular}{base}$

In triangle ABC,

$\tan(\angle C)=\frac{AB}{BC}$

$\tan(32^{\circ})=\frac{x}{110}$

Multiply both sides by 110.

$110\tan(32^{\circ})=x$

$68.73562871=x$

$x\approx 68.74$

Therefore the height of Sandy is 68.74 inches.

8 0

3 years ago

What is the value of r?<br> Round your final answer to the nearest whole number.

vaieri [72.5K]

Answer:

r = 13

Step-by-step explanation:

Hypotenuse is the side opposite to 90 degree angle, so hypotenuse is r.

Also, with respect to the angle given, the side "12" is the opposite.

So we have opposite side to angle and we need hypotenuse. Which trigonometric ratio related opposite with hypotenuse? It is SINE.

So we can write:

$Sin(67.4)=\frac{Opposite}{Hypotenuse}=\frac{12}{r}\\rSin(67.4)=12\\r=\frac{12}{Sin(67.4)}\\r=12.99$

Rounded to nearest whole number, r = 13

8 0

3 years ago

Read 2 more answers

5h+4p=17<br> 4h+2p=11.50<br> H=2 and p=1.75<br> Show your work to prove this.

Lana71 [14]

Here is your answer
Mark it brainliest

8 0

3 years ago

When the scale factor between two circles is “x” the scale factor between the 1_________________________is also “x” and the scal

Effectus [21]

Answer:

When the scale factor between two circles is “x” the scale factor between the radius is also “x” and the scale factor of the area is “x^2"

this is only one possible answer. For example, instead of radius, you could have put diameter or circumference.

7 0

2 years ago