can someone help me with this pls?

Using approximations to 1 significant figure,
estimate the value of
0.482 x 61.22
(square root)98.01

Answer:

51. Don't completely know if it's correct though.

Step-by-step explanation:

I'd use sine, which is opposite side/hypotenuse. Here, I think the reference angle is x. The opposite side is 7, and the hypotenuse is 9. So...

sin(x) = [tex]\frac{7}{9}[/tex]

sin(x) = 0.7777

Next we use inverse sine.

sin⁻¹(0.7777) = approximately 51

The value of the angle x, for the given right angle, is approximately 51 degree to the nearest degree.

In a right angle triangle, the ratio of the opposite side to the hypotenuse side is equal to the sine angle between adjacent side and hypotenuse, side.

[tex]\sin\theta=\dfrac{b}{c}[/tex]

Here, (b) is the opposite side, (c) is the hypotenuse side and [tex]\theta[/tex] is the angle made between adjacent side and hypotenuse, side.

In the given figure, the hypotenuse side is 9 units long and opposite side is 7 units long.

The angle between adjacent side and hypotenuse is x degrees. Thus, by the right angle triangle property,

[tex]\sin x=\dfrac{7}{9}\\x=\sin^{-1}(0.778)\\x\approx51^o[/tex]

Hence, the value of the angle x, for the given right angle, is approximately 51 degree to the nearest degree.

Learn more about the right angle triangle property here;

https://brainly.com/question/22790996

Answer:

Step-by-step explanation:

yep

Answer: The area of the plate is 81.67 in^2

Step-by-step explanation:

If we have a circle of radius R, the area of this circle can be computed as:

A = pi*R^2

where pi = 3.14

And the circumference is:

C = 2*pi*R

and we know that this is equal to 32 in, then:

32in = 2*pi*R

Now we can isolate R, and we get:

32in/(2*pi) = R

32in/(2*3.14) = R = 5.1 in

Then the area of the plate is:

A = 3.14*(5.1in)^2 = 81.67 in^2

Answer:

the second one

Step-by-step explanation:

When subtracting a negative, the negative turns to a positive, so in this case, -14- -8 would be the same as -14 + 8

Answer: 16q5r2

Step-by-step explanation:

Answer:

Hi how are you doing today Jasmine

Answer: V = 1731.8Ft³

Step-by-step explanation:

v = πr²h

Radius is half of the diameter ⇒ 21/2 = 10.5

V = π(10.5)²(5)

V=π(110.5)(5)

V = π(551.25)

V = 1731.8Ft³

The solution is : the volume of the pool is V = 1731.8Ft³.

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

Here, we have,

we know that,

the volume of the cylinder is:

v = πr²h

Radius is half of the diameter

⇒ 21/2

= 10.5

so, we get,

V = π(10.5)²(5)

V=π(110.5)(5)

V = π(551.25)

V = 1731.8Ft³

Hence, The solution is : the volume of the pool is V = 1731.8Ft³.

To learn more on volume click :

brainly.com/question/1578538

#SPJ2

Answer:

y= 7

Step-by-step explanation:

3y+7=28

subtract 7 from both sides

3y=21

divide each side by 3

y/3=21/3

y=7

Answer:

y=7

Step-by-step explanation:

3y+7=28

Move the constant to the right

3y=28-7

Calculate

3y=21

divide both sides to get y=7

Answer:

c

Step-by-step explanation:

Answer:

$3828 approx

Step-by-step explanation:

Given data

Principal=$2316

Rate= 3%

Time= 17 years

The compound interest formula is

A=P(1+r)^t

substitute

A=2316(1+0.03)^17

A=2316(1.03)^17

A=2316*1.652847

A=$3827.99

Hence the account balance after 17 years is $3828 approx

Answer:

(2,3) also love your profile pic :)

( 2,3 ) I hope this helped you!~ have a great day~

~Keiji❤

Treat yourself well, remember to eat. You are valid. Love you!~

Answer:

20%

Step-by-step explanation:

because 15/75×100 =1/5×100=20%

Answer:

Step-by-step explanation:

x% of 15y = 75

x% =75/(15y) = 5/y

x = 500/y

Step-by-step explanation:

x³=1/49

x= third root of 1/third root of 49

x=1/square root of 7

Answer:

7 dollars and 50 cents of quarters. That right there equals 30 coins

He has a dollar and thirty cents in dimes and that equals 13 coins

Together that is $8.80. with 43 coins.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area Triangles

Area = 1/2 b * h

In a right triangle the two smaller sides are used to find the area

A = 1/2 6 * 4.5

A = 1/2 * 27

A = 13.5

But there are 2 of them so that the area = 2* 13.5 = 27

Area Front side

Area = L * w

L = 13

w = 6

Area = 13 * 6

Area = 78

Area Back side

Area = L * W

Area = 4.5 * 13

Area = 58.5

Bottom  Area

Area = L * W

L = 13

W = 7.5

Area = 13 *  7.5

Area = 97.5

Total Area = 58.5 + 78 + 27 + 97.5

Total Area = 163.5 + 97.5

Total Area = 261

Answer:

parallel as if we place the ond the coordinate grkd they will form lines paral.el to each other(;

9514 1404 393

Answer:

  (d)  parallelogram, rectangle, rhombus, and square

Step-by-step explanation:

Any form of parallelogram has opposite sides parallel and congruent. A trapezoid does not match that description.

A rectangle, rhombus, or square will be a parallelogram.

Answer:

umm???????????? let me try doin it

Answer: the answers for numbers 1,2 and 4 are all true :)

1: True

2: True

4: True

Answer:

I think it is option D,

hope it helps

Question:

In New York City at the spring equinox there are 12 hours 8 minutes of daylight. The  longest and the shortest days of the year vary by 2 hours 53 minutes from the equinox.  In this year, the equinox falls on March 21. In this task, you'll use a trigonometric function  to model the hours of daylight hours on certain days of the year in New York City.

- Find amplitude and the period of the function

- Create a trigonometric function that describes the hours of sunlight for each day of the year

- Then use the function you built to find how fewer daylight hours February 10 will have then March 21

Answer:

(a)

[tex]A = 2.883[/tex]  --- Amplitude

[tex]T = 365[/tex] ---- Period

(b) Trigonometry function

[tex]f(x) = 12.133 + 2.883sin(\frac{2\pi}{365}[x - 80])[/tex]

(c) [tex]Hours= 1.794[/tex]

Step-by-step explanation:

Given

[tex]Average\ Sunlight = 12hr\ 8 min[/tex]

[tex]Variance = 2hr\ 53min[/tex]

Solving (a): Amplitude (P) and Period (T)

The amplitude is the amount of time the longest and the shortest day vary.

So

[tex]A = 2\ hr\ 53\ min[/tex]

Convert to hours

[tex]A = 2\ + \frac{53}{60}[/tex]

[tex]A = 2+0.883[/tex]

[tex]A = 2.883[/tex]

The period (T) is the duration i.e 1 year

[tex]T = 1\ year[/tex]

Assume no leap year

[tex]T = 365[/tex]

Solving (b): Trigonometry function

The function follows a sinusoidal pattern and the general form is:

[tex]f(x) = \mu+ Asin(\frac{2\pi}{T}(x -n))[/tex]

Where

[tex]\mu = Average\ Value[/tex]

[tex]\mu = 12\ hr 8\ min[/tex]

Convert to hours

[tex]\mu = 12 + \frac{8}{60}[/tex]

[tex]\mu = 12 + 0.133[/tex]

[tex]\mu = 12.133[/tex]

[tex]A = 2.883[/tex]  --- Amplitude

[tex]T = 365[/tex] ---- Period

[tex]n = Equinox[/tex]

[tex]n = March\ 21[/tex]

[tex]March\ 21st = 80th\ day[/tex]

So:

[tex]n= 80[/tex]

The function becomes:

[tex]f(x) = \mu+ Asin(\frac{2\pi}{T}(x -n))[/tex]

[tex]f(x) = 12.133 + 2.883sin(\frac{2\pi}{365}[x - 80])[/tex]

Solving (c): Fewer daylight hours will Feb. 10 have.

[tex]Feb\ 10 = 41st\ day[/tex]

So:

[tex]f(x) = 12.133 + 2.883sin(\frac{2\pi}{365}[x - 80])[/tex]

[tex]f(41) = 12.133 + 2.883sin(\frac{2\pi}{365}[41 - 80])[/tex]

[tex]f(41) = 12.133 + 2.883sin(\frac{2\pi}{365}[-39])[/tex]

[tex]2\pi = 360^\circ[/tex]

So:

[tex]f(41) = 12.133 + 2.883sin(\frac{360}{365}[-39])[/tex]

[tex]f(41) = 12.133 + 2.883sin(-38.466)[/tex]

[tex]f(41) = 12.133 - 2.883*0.6221[/tex]

[tex]f(41) = 10.339[/tex]

The fewer daylight hours is the calculated as:

[tex]Hours= Average - f(41)[/tex]

[tex]Hours= \mu - f(41)[/tex]

[tex]Hours= 12.133 - 10.339[/tex]

[tex]Hours= 1.794[/tex]

Answer:

The slope is 1/5 and the y-intercept is -7

Step-by-step explanation:

In point-slope form (y = mx + b), m is the slope and b is the y-intercept.

Answer:

f(4)

Step-by-step explanation:

The output is the value of f(x) for a given value of x ( the input )

Substitute the given values of x into f(x) to determine the output, that is

f(- 8) = (- 8)³ - (- 8)² = - 512 - 64 = - 576 ≠ 48

f(- 4) = (- 4)³ - (- 4)² = - 64 - 16 = - 80 ≠ 48

f(4) = 4³ - 4² = 64 - 16 = 48

Thus f(4) gives an output of 48

Answer:

30% of 30 = 9

28% of 32 = 8.96

Step-by-step explanation:

0.30 x 30 = 9

0.28 x 32 = 8.96

Answer:

30% of 30 > 28% of 32

Step-by-step explanation:

30% of 30:

0.3 x 30 = 9

28% of 32:

0.28 x 32 = 8.96

9 > 8.96

Answer:

Step-by-step explanation:

it surprises me  you can't do these  yourself  :/  do you not understand percent's?  what makes this tough for you ?

1) y = 0.12x

2) y = 0.25x

3) y = 0.6x   ( repeating so the 6 has the line over it )

4) y = 0.833 ( repeating so the 3s has the line over them )

Answer:

3120

Step-by-step explanation:

52x60=3120

Answer:68

Step-by-step explanation:

Do 52 plus 60 then subtract it by 180 and you get 68

Answer:

-,-

Step-by-step explanation: