Which formula should be used to calculate the amount of paper needed?

Answer:

Step-by-step explanation:

 it's 125 for the radius and also 125-62 = 63

so 125+63 = 188

188 * 62 = X^2

11656 = X^2

107.96 = x

108.0  = x  ( to the nearest tenth )

The perpendicular distance x from the end of the passage to either side of the mound is : 107.93 feets

Diameter = 250

To obtain the perpendicular distance, x :

We use the relation : x × x = Length to either side of mound :

Mathematically ;

x × x = 62 ft × (250 - 62)

x² = 62 × 188

x² = 11656 ft²

Take the square root of both sides ;

x = √11656

x = 107.9629 ft

Hence, the perpendicular distance x from the end of the passage to either side of the mound is : 107.93 feets

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Answer:

a = 35

Step-by-step explanation:

5/7a = 25

multiply both sides by 7:

5a = 175

divide by 5:

a = 35

Hope this helps !!!

Answer:

3.11 liters

Step-by-step explanation:

converting mL to L requires dividing by 1000, or moving the decimal point 3 places to the left

Answer:

[tex]\frac{x+xy}{y}[/tex]

Step-by-step explanation:

Given

[tex]\frac{x}{y}[/tex] + x

Multiply x by [tex]\frac{y}{y}[/tex] to create a common denominator

= [tex]\frac{x}{y}[/tex] + x × [tex]\frac{y}{y}[/tex]

= [tex]\frac{x}{y}[/tex] + [tex]\frac{xy}{y}[/tex]

= [tex]\frac{x+xy}{y}[/tex]

Answer:

$4.16

Step-by-step explanation:

8% of $52 is 4.16.

In total the item would cost $56.16.

All you do is 52 x .08 = 4.16

Make sure to divide the percentage (8/100=.08) before multiplying.

Answer:

130

Step-by-step explanation:

Hello There!

An included angle is equal to half the measure of its included arc

So more specifically for this circle

∠mABC = [tex]\frac{1}{2}[/tex] arc(mAB)

So in order to find the value of x we are going to want an equation

Because angle ABC is equal to 1/2 of arc AB we are going to want to multiply angle ABC's expression by two

So 2(3x+32) = 10x+20

now we solve for x

step 1 distribute the 2

2 * 3x = 6x

2 * 32 = 64

now we have

6x + 64 = 10x + 20

step 2 subtract 20 from each side

64 - 20 = 44

20 - 20 cancels out

now we have 6x + 44 = 10x

step 3 subtract 6 x from each side

10x - 6x = 4x

6x - 6x cancels out

now we have 44 = 4x

step 4 divide each side by 4x

44/4=11

4x/4=x

we're left with x = 11

finally we want to plug in 11 to x for (10x+20)

10(11)+20

10*11=110

110+20=130

so arc ab = 130

Answer:

AB = 130

Step-by-step explanation:

So, according to a certain theorem to do with arcs and their angles, If a tangent and a chord intersect at a point on a circle, then the measure of each angle formed is one half the measure of its intercepted arc.

In this case, the ARC is AB, and the angle is CBA.

CBA = 3x+32

AB = 10x+20

And,

[tex]CBA = \frac{1}{2} AB[/tex]

Now,

[tex]3x+32=\frac{1}{2} (10x+20)[/tex]

[tex]3x+32=5x+10\\32=2x+10\\22=2x\\11=x[/tex]

Now we can substitute x into the equation that equals AB

[tex]10(11)+20 \\=110+20\\=130[/tex]

So, the answer is 130, sorry I took a while, the explanation takes a long time to do lol.

Have a nice day fam. Spread The Love.

Answer:

25 feets

Step-by-step explanation:

The scenario above can be modeled and solved Using Pythagoras :

Height to second floor = 24 feets

Horizontal Distance between foot of ladder and wall = 7 feets

Let length of ladder = x

The lengtb of ladder here is the hypotenus

Recall:

Hypotenus = sqrt(opposite² + adjacent²)

Hence,

x = sqrt(24² + 7²)

x = sqrt(576 + 49)

x = sqrt(625)

x = 25

Hence, length of ladder = 25 feets

Answer:

1/4

Step-by-step explanation:

Favorable Outcomes/ All Possible Outcomes= 2/8

2/8= 1/4

The answer is 1/4.

Answer:

37.69cm i might be wrong, u gonna have to check

Step-by-step explanation:

Answer:

90 degrees.

Step-by-step explanation:

They right ray point is on the 90 degree number and left ray is on zero so we find the difference.

90-0=90

so it measures 90 degrees.

Answer:

<ba=180 <bc=90

Step-by-step explanation:

Given:

The graph of a trend line.

To find:

The equation of the trend line is slope intercept form.

Solution:

From the given graph it is clear that the equation of the trend line is passes through the points (0,25) and (5,50).

Slope of the line is:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{50-25}{5-0}[/tex]

[tex]m=\dfrac{25}{5}[/tex]

[tex]m=5[/tex]

The line passes through the point (0,25). So, the y-intercept of the line is 25.

Slope intercept form of a line is:

[tex]y=mx+b[/tex]

Where, m is slope and b is y-intercept.

The slope intercept from of the line is:

[tex]y=(5)x+(25)[/tex]

[tex]y=5x+25[/tex]

Therefore, the equation for the trend line in slope -intercept form is [tex]y=5x+25[/tex].

Answer:

$151,200

Step-by-step explanation:

According to the problem, calculation of the given data are as follows,

Cost of Equipment = $634,800

Salvage Value = $30,000

Estimated Life = 4 years

So, we can calculate depreciation for first year by using following formula,

Amount of depreciation = Depreciable base amount ÷ Estimated Life

Where, Depreciable base amount = Cost of Equipment - Salvage Value

= $634,800 - $30,000 = $604,800

By putting the value, we get

Amount of depreciation = $604,800 ÷ 4

= $151,200

Answer:

d=2m

area(A)=196m

l=60m

now,

A=d(l+b-d)

196=2(60+b-2)

196=2(58+b)

196=116+2b

2b=196-116

2b=80

b=40m

Answer:

-61 degrees F

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

18 - 6 = 12

UW = 18

UV = 6

VW = 12

Answer:

8) 22

9) cos 33°

10) 55

Step-by-step explanation:

[tex]8) \: \: \: \tan(x) = \frac{6}{15} \\ x = \tan^{ - 1} ( \frac{6}{15} ) \\ x = 21.8 \\ x = 22 \\ \\ \\ 9) \: \: \: \: \: \sin(57) = 0.83867.... \\ \cos(33) = 0.83867.... \\ \\ \\ 10) \: \: \: \cos(35) = 0.8192..... \\ \sin(55) = 0.8192.... \\ so \: \: \: z = 55[/tex]

I hope that is useful for you :)

Answer:

1) D. 343.17

2) C but not sure

Step-by-step explanation:

1) area of triangle is 1/2* base* height= 1/2*18*24 = 216ft²

area of circle is πr²

area of semicircle is πr²/2

diameter=18

radius= 18/2=9

πr²/2 = (22/7* 9*9) / 2

=127.2 (approx)

total area = 127.2+ 216= 343.2

2) I dont know...I think C

Answer:

If two angles in standard position have the same terminal side, they are called coterminal angles.

The reference angle is the acute angle (the smallest angle) formed by the terminal side of the given angle and the x-axis.

Angle of Rotation is the measurement of the amount of the angle, by which a figure is rotated counterclockwise about a fixed point, often the center of a circle. Usually clockwise rotation is called as Negative rotation

If two angles in standard position have the same terminal side, they are called coterminal angles.

An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.

Coterminal angles are those angles that share the terminal side of an angle occupying the standard position. The standard position means that one side of the angle is fixed along the positive x-axis, and the vertex is located at the origin.

The reference angle is the acute angle (the smallest angle) formed by the terminal side of the given angle and the x-axis.

Angle of Rotation is the measurement of the amount of the angle, by which a figure is rotated counterclockwise about a fixed point, often the center of a circle. Usually clockwise rotation is called as Negative rotation.

Hence, if two angles in standard position have the same terminal side, they are called coterminal angles.

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Answer:

A.

Step-by-step explanation:

x2 - 3x - 10. = 0

x2 + 2x - 5x - 10 = 0

(x2 + 2x) (-5x - 10) = 0

x (x + 2) - 5 (x + 2) = 0

(x - 5) (x + 2) = 0

x - 5 = 0 x + 2 = 0

x = 5 or x = - 2.

Answer: -0.75

1/8 - 1(7)/8 = -3/4= -0.75

Answer:

[tex]\frac{1}{8} -1\frac{7}{8}[/tex]

[tex]\frac{1}{8} -\frac{15}{8}[/tex]

[tex]\frac{1-15}{8}[/tex]

[tex]-\frac{14}{8}[/tex]

[tex]-\frac{7}{4}[/tex]

[tex]-1\frac{3}{4}[/tex]

Step-by-step explanation:

Answer:

Hello.

The answer to this question is  

− √ 2 − √ 3 /2

And in Decimal Form: − 0.25881904

Step-by-step explanation:

Give brainliest :)

Answer:

yes

Step-by-step explanation:

Answer:

Annual payument (PMT)= $1,663.19

Step-by-step explanation:

Giving the following information:

Loan (PV)= $250,000

Monthly interest rate (i)= 0.07/12= 0.005833

Number of periods (n)= 12*30= 360 months

To calculate the monthly payment, we need to use the following formula:

Annual payument (PMT)= (PV*i) / [1 - (1+i)^(-n)]

Annual payument (PMT)= (250,000*0.005833) / [1 - (1.005833^-360)]

Annual payument (PMT)= $1,663.19

Answer:

1/18

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

Answer:

Step-by-step explanation:

.......

Answer:

The expression will be : (x+9) /2

An algebraic expression is an expression built up from integer constants , variables , and the algebraic operations.

Let us take the number to be : x

Now, ( half of the sum of 9 and a number ) will be : (x+9)/2

Dividing x and 9 with 2 we get,

the second expression which is different but equivalent to first will be :

=0.5 x + 4.5

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Answer:

1.) 2.5cm

2.) 1 3/4

3.) 1.6

4.) 4/5

5.) 18.84

Step-by-step explanation:

So the radius is half of the diameter, so the first one would be:

5 ÷ 2 = 2.5

We do the same thing for the next one:

3 1/2 ÷ 2 = 1 3/4

Now we have to go backwards because we have the radius and we're trying to find the diameter:

0.8 x 2 = 1.6

And the next one:

3/5 x 2 = 4/5

Now to find the circumference, we multiply the diameter by pi (3.14)

6 x 3.14 = 18.84

let me know if any of these are wrong

hope this helps:)