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3 years ago

In the figure. What is the value of x? Also it cropped out the last answer choice which is 90.

Mathematics

1 answer:

damaskus [11]3 years ago

3 0

So hmm notice the picture below

I've included the "far arc - near arc" equation to get the angle made by both tangents

now, if we make k = x, which is your case
and we make the "near arc" to "x", which is also the case
and then we make the "far arc" to say "b"

so using the "far arc - near arc" equation, we get that

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HELP MEEEE PLZ. i need to Find the surface area and volume

lisabon 2012 [21]

Answer:

A ≈ 494.80 $mm^{2}$

V = 827.02 $mm^{3}$

Step-by-step explanation:

height ( h ) = 13 mm

radius ( r ) = $\frac{9mm}{2}$ = 4.5 mm

Surface area = $2\pi rh + 2\pi r$

= 2π(4.5)(13) + 2π(4.5)

≈ 494.80 $mm^{2}$

Volume = $\pi r^{2} h$

= $\pi (4.5)^{2} (13)$

= 827.02 $mm^{3}$

6 0

3 years ago

Line f has a slope of -3. What is the slope of the line that is perpendicular to line f?

Fynjy0 [20]

Answer:

1/3

Step-by-step explanation:

slope of line f (m) = -3

Slope of perpendicular line to f m1 = -1/m = -1/-3 = 1/3

6 0

3 years ago

Which is the inverse of the function f(x) = 1/4x-12

Ivanshal [37]

To find the inverse of the function, f(x) = 1/4x-12, first interchange the variables of x and y
x=1/4y-12, now solve for y
1/4y=x+12, multiply by 4 on both sides
y=4x+48
Thus, the inverse of the function f(x) = 1/4x-12 is 4x+48
Hope this helps!

8 0

3 years ago

The same bedroom furniture set costs $1,500 in both Florida and Alabama. The table gives a breakdown of the taxes someone would

vitfil [10]

Answer:

A: True

B, C and D: False

Step-by-step explanation:

We have a total sales tax for Alabama that is:

$T_A=4.225+1.375+3=8.6$

The total sales tax for Florida is:

$T_F=6.5+1+1.625=9.125$

The total sales tax is greater in Florida than in Alabama.

A. The furniture set is cheaper in Alabama, because the amount of sales tax will be lower by about $8. TRUE

The sales tax difference in this purchase can be calculated as:

$1500(T_F-T_A)=1500\left(\dfrac{9.125-8.6}{100}\right)=1500\cdot 0.00525=7.875\approx 8$

B. The furniture set is cheaper in Florida, because the amount of sales tax will be lower by about $10. FALSE (it is cheaper in Alabama)

C. The furniture set is cheaper in Alabama, because the amount of sales tax will be lower by $10. FALSE (the sale tax in Alabama is $129)

The amount of sales tax in Alabama is:

$ST_A=1500\cdot T_A=1500\cdot 0.086=129$

D. The furniture set costs the same in either state, because the amount of sales tax will be the same for the two locations. FALSE (it is not the same in both states).

7 0

3 years ago

When a particular type of thumbtack is dropped, it will land point up (A flat-top thumbtack resting on its flat top) or point

erma4kov [3.2K]

Answer:

0.48

0.52

Yes

Step-by-step explanation:

Result of experiment :

Point up = 48

Point down = 52

Total number of trials = 100

Recall :

Experimental probability = number of outcomes / number of trials

1.)

P(Landing point up) = 48 / 100 = 0.48

2.)

P(Landing point down) = 52 / 100 = 0.52

3.)

The same result will not occur has the outcomes of trials aren't fixed.

4.) Yes, nearly the same result could occur on the second trial, as the number of possible outcubes are just 2 and the number if trials is high.

8 0

3 years ago