what is the sum of the following equation? 16/100
a. 10/100
b. 22/100
c. 36/100
d. 76/100

Answer:

A) -4/5

Step-by-step explanation:

( -8, 10) and ( -3, 6)

Slope:

m=(y2-y1)/(x2-x1)

m=(6-10)/(-3+8)

m= (-4)/5

m = -4/5

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Actually Welcome to the concept of Areas,

Let's divide the above map in to 2 parts , that is a rectangle and a triangle, and add both thier areas to get the area of the Nevada.

so we get as,

Area of triangle = 1/2*b*h

Area of triangle ==> 1/2*309*306 ==> 47277 mi^2

Area of rectangle = l*b = 205*309 ==> 63345 mi^2

Area of NEVADA = 47277 + 63345 = 110622 mi^2

hence the area = 110622 mi^2

Answer:

the approximate area of Nevada is 110,567 mi²

Answer:

x=-5

y=-2

Step-by-step explanation:

equation 1 - equation 2

(2x-4y=-2) - (2x+3y=-16) = (-7y=14)

y=14/-7=-2

then substitute y=-2 into any equation

2x-4(-2)=-2

2x+8=-2

2x=-10

x=-10/2=-5

Answer:

I um need the question to answer.

Step-by-step explanation:

Answer:

[tex]x = 8 \sqrt{3} [/tex]

[tex]y = 60[/tex]

[tex]z = 30[/tex]

Step-by-step explanation:

To find x, use pythagorean theorem,

[tex] {x}^{2} + {8}^{2} = {16}^{2} [/tex]

[tex] {x}^{2} + 64 = 256[/tex]

[tex] {x}^{2} = 192[/tex]

x=13.9 or 8 times sqr root 3( see later)

To find y, use cosine ratio.

[tex] \cos(y) = \frac{8}{16} [/tex]

[tex] \cos(y) = \frac{1}{2} [/tex]

[tex]y = 60[/tex]

To find z, use triangle interior theorem

[tex]90 + 60 + z= 180[/tex]

[tex]150 + z = 180[/tex]

[tex]z = 30[/tex]

Since this a 30-60-90 triangle, side x could be also written as

[tex]8 \sqrt{3} [/tex]

Answer:

84.823005

Step-by-step explanation:

π6^2=113.09734

(360-90)/360=3/4

3/4* 113.09734=84.823005

Step-by-step explanation:

area of circle=

[tex]\pi \: r ^{2} [/tex]

22/7×6×6=113.14

=3/4of 113.14

=84.55cm²

Answer:

7) sin 60° = 25√3/Z

0.8660 = 25√3/Z

Z = 50

8) using the Pythagorean theorem:

50² = (25√3)² + y²

2500 = 1875 + y²

y² = 625

y = 25

Answer:

z = 50

y = 25

Step-by-step explanation:

Using the 30, 60, 90 triangle rule

you can figure this out.

The rule says

With a 30, 60, 90 triangle

Given the shorter leg, (side across the 30 degree angle,

To find longer leg (side across the 60 degree angle):

Multiple shorter leg by radical 3.

To find hypotenuse (side across the 90 degree angle):

Multiple shorter leg by 2.

Thus

Shorter leg (side opposite 30 degree): 25

Longer leg (side opposite 60 degree):

25 radical 3

Hypotenuse(side opposite 90 degree): 50

Answer:

x = 10

Step-by-step explanation:

The sum of the interior angles of a quadrilateral = 360°

Sum the angles and equate to 360

9x + 15 + 85 + 90 + 80 = 360, that is

9x + 270 = 360 ( subtract 270 from both sides )

9x = 90 ( divide both sides by 9 )

x = 10

Answer:

A -3

Step-by-step explanation:

-2 x -3 = 6

6 x -3 = -18

-18x -3 = 54

Answer:

w=-5

Step-by-step explanation:

Answer:

d = A or 49

Step-by-step explanation:

25^2 =625

24^2 = 576

625-576= 49 or 7^2

Answer:

D

Step-by-step explanation:

sum of ratio=2+3=5

Mpho gets=3/5×20=12

Answer:

32/40 = 24/x  

x=30

Answer:

30

Step-by-step explanation:

32x= 40•24

32=960

X=30

Answer:

A. $22.10

Step-by-step explanation:

52 x 0.4 = 20.8

20.8 x 1.0625 = 22.1

Answer:

25%

Step-by-step explanation:

[tex]400 \times 25 \div 100 = 100[/tex]

Given:

The equation is

[tex]y=2+4(x-3)[/tex]

To find:

The slope intercept form of the given equation.

Solution:

We have,

[tex]y=2+4(x-3)[/tex]

Step a: Distribute 4 through the parentheses.

[tex]y=2+4(x)+4(-3)[/tex]

[tex]y=2+4x-12[/tex]

Step b: Simplify by combining like terms.

[tex]y=4x+(2-12)[/tex]

[tex]y=4x-10[/tex]

Step c: Is the equation in the form [tex]y = mx + b[/tex]? If not, rewrite it.

The equation [tex]y=4x-10[/tex] in the form of [tex]y = mx + b[/tex].

Therefore, the slope intercept form of the given equation is [tex]y=4x-10[/tex].

Answer:

Area of sector DFE = 177.79cm²

Area of sector DGE = 437.65cm²

Step-by-step explanation:

Find the diagram attached;

Area of the sector is expressed according to the formula;

Area of the sector = theta/360 * πr²

theta is the central angle = 360 - 256

theta = 104°

r is the radius = 14cm

Substitute into the formula as shown;

Area of the sector = theta/360 * πr²

Area of the sector DFE = 104/360 * 3.14(14)²

Area of the sector DFE = 0.289 * 615.44

Area of the sector DFE = 177.79cm²

Hence the area of the sector <DFE to the nearest hundredth is 177.79cm²

For sector DGE:

Area of the sector DGE = 256/360 * 3.14(14)²

Area of the sector DGE = 0.7111 * 615.44

Area of the sector DGE = 437.65cm²

Hence the area of the sector <DGE to the nearest hundredth is 437.65cm²

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Answer: 42

Explanation:

120 x .35 = 42

I hope this helped!

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42 is your answer

Answer:

let no be x

10% of x=12

x=1200/10=120

again

45% of x=54

x=5400/45=120

here

35% of 120=35/100×120=42

Answer:

the answer is 2,808

Step-by-step explanation:

you have to multiply 78 by 36 because it is area

Answer:

A

Step-by-step explanation:

Answer:

[tex] \frac{1}{ {12}^{3} }[/tex]

Step-by-step explanation:

[tex] {12}^{ - 3} = \frac{1}{ {12}^{3} } \\ [/tex]

Answer:

20

Step-by-step explanation:

divide shape into 2 rectangles;

Rectangle A: 5.5*3= 16.5

Rectangle B: 1*3.5=3.5

                         9-5.5=length length=3.5

Add RA+RB= your answer

Answer:

[tex]20m{2}[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

n = √75

Step-by-step explanation:

n is the altitude of the right triangle.

Thus:

n = √(15*5) (right triangle altitude theorem/geometric mean theorem)

n = √75

Answer:

In seven years the hourly rate will be $15.79.

Step-by-step explanation:

Giving the following information:

Hourly rate= $10.5

Number of periods= 7 years

Increase rate (i)= 6%

To calculate the hourly rate in 7 years, we need to use the following formula:

FV= PV*(1 + i)^n

FV= 10.5*(1.06^7)

FV= $15.79

In seven years the hourly rate will be $15.79.

Answer:

b

Step-by-step explanation: