DEFG is an isosceles trapezoid with bases FE and
GD. DE = 5x -2, and FG = 4x + 2. Find FG.

Answer:

1st option

Step-by-step explanation:

The area (A) of a circle is calculated as

A = πr² ( r is the radius )

A = 3.14 × 3² = 3.14 × 9 = 28.26 cm²

Answer:

[tex]area \ of circle = \pi r^{2} = 9\pi \ cm^{2} = 28.27cm^{2}[/tex]

Answer:

[tex]1397\frac{1}{3}[/tex]

Step-by-step explanation:

Answer:

1,397.33333

Step-by-step explanation:

4,192/3 is 1,397.33333 because 3 goes into 4,192, 1,397 times fully and a third more (1/3) to fit.

Answer:

5

Step-by-step explanation:

Answer:

4 shirts

Step-by-step explanation:

$48/$12= 4 shirts

Hope this helped! :)

Answer:

The answer for x is 80°

Step-by-step explanation:

60°+40°+x=180°

X=180°-60°-40°

X=80°

Answer:

y = 1

Step-by-step explanation:

3 + y = 4

y = 1

Answer:

Step-by-step explanation:

I think its y=1 but I'm not sure

Hope this helps

Have a good day

Pls tell me if I'm wrong

Answer:

73 degrees

Step-by-step explanation:

180-127=53

53+54= 107

180-107

= 73 degrees

Mark me the brainliestt :))

Where is the picture? Nothing is attached to your question.

Answer:

1 m

Step-by-step explanation:

To find the volume of a rectangular prism, multiply length x width x height

[tex](6.8)(4.4)j=29.92\\29.92j=29.92\\j=1[/tex]

Answer:

3rd option : 1455

Step-by-step explanation:

here, a = 5, d = 3 , tn = 92, n = ?, Sn = ?

tn = [a + (n - 1) d]

92 = [ 5 + (n - 1)d

92 = 5 + 3n - 3

92 - 5 + 3 = 3n

90 = 3n

n = 90/3

n = 30

By sum of first n terms of an A. P formula,

Sn = n/ 2 [ 2a + (n - 1) d]

Sn = 30/2 [ 2 * 5 + (30 - 1) 3]

Sn = 15[ 10 + 29 ( 3) ]

Sn = 15[ 10 + 87 ]

Sn = 15( 97 )

Sn = 15 * 97

Sn = 1455

Therefore, option 3rd 1455 is correct.

Answer:

-4

Step-by-step explanation:

hope this helps with the work

Answer:

#4) 1

Step-by-step explanation:

To find the average, add all of the temperatures together, then divide it by the number of temperatures added.

It'll look like this: (-10+2+8+4)/4

Answer:

D

Step-by-step explanation:

Volume = lwh

120 = l(4)(3)

l = 10 feet

Answer:

About 6.32 hours.

Step-by-step explanation:

P= production

t=# of hours needed

How many hours are needed to reach the production level of 400?

Plug the numbers into the formula given.

400=300+50 ( t-10 squared)

Combine like terms-  400=350 (t-10 squared)

subtract 350 from itself, then do the same to the other side.

400-350=350-350(t=-10 squared)

50= (t-10squared)

50-10= 40 squared

40 squared= about 6.32.

Hope this helps! Have a nice day :)

Answer:

3.6 dollars

Step-by-step explanation:

Lets go over what we know:

Each ounce of penut butter cost 0.2$, or 1/5$

We need 18 ounces.

To solve this, lets multiply the cost per ounce by the amount of ounces:

0.2*18

Or

1/5*18

=

18/5

This can be simplfied into:

3 3/5

We know each 1/5 is 20 cents(0.2), so 3 cents would be 3*0.2 = 0.6:

3.6 dollars

So the answer is for 18 ounces, it cost 3.6 dollars.

Hope this helps!

Answer:

n=-12

Step-by-step explanation:

Answer:

C. III only

Step-by-step explanation:

a quadratic function means that as the maximum power in its arguments it is squaring 1 or more items.

so, let's look at the tables.

table I shows the powers of 2. y = 2^x

2^0 = 1

2^1 = 2

2^2 = 4

2^3 = 8

so, it is not saying anything in general.

table II shows an "identity" equation. y = x

0 = 0

1 = 1

2 = 2

3 = 3

this does not square anything.

table III shows then finally a square equation. y = x^2

0^2 = 0

1^2 = 1

2^2 ≈ 4

3^2 = 9

hurray !

Answer:

y = 800,000[1.03]

Step-by-step explanation:

Given:

Number of people attend 2012 country fair = 800,000

Attendance increases = 3% per year

Find:

Function represents attendance  after 2012

Computation:

A = P[1+r]ⁿ

Assume;

Number of people attend country fair after 2012 = y

So,

y = 800,000[1+3%]¹

y = 800,000[1+0.03]

y = 800,000[1.03]

Function represents attendance  after 2012 is y = 800,000[1.03]

Answer:

      2r+7/6

Step-by-step explanation:

Answer:

2r +7/6

Step-by-step explanation:

See the steps below:)

Answer:

x=6/cos 45=6√2

x=6√2

tan 45=y/6

y=tan45 ×6

y=6

2.

sin 60=y/10

y=sin60×10

y=5√3

again

Cos 60=x/10

x=½×10

x=5

3.

Sin 45=x/5

x=1/√2×5 or

x=5√2/2

again

y=5√2/2 or 5/√2[base angle of right angled isosceles triangle]

4.

Sin 30=8/x

½×x=8

x=8*2

x=16

again

cos 30= y/x

√3/2×16=y

y=8√3

5.

sin 60=7/x

x=7/[√3/2]

x=14/√3 or 14√3/3

again

cos 60=y/x

½×14√3/3=y

7√3/2=y

y=7√3/2

Note:

Sin angle =perpendicular/hypotenuse

Cos angle =base/hypotenuse

Tan angle =perpendicular /base

Answer:

circumference = 3.14×12.4

circumference =38.936

Answer:

Hope this helps! have a good day. :)

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3(x−2)=2(x−3)

(3)(x)+(3)(−2)=(2)(x)+(2)(−3)(Distribute)

3x+−6=2x+−6

3x−6=2x−6

Step 2: Subtract 2x from both sides.

3x−6−2x=2x−6−2x

x−6=−6

Step 3: Add 6 to both sides.

x−6+6=−6+6

x=0

Answer:

9/2

Step-by-step explanation:

2(3x - 1) = 25

6x - 2 = 25

6x = 27

x = 9/2

Answer:

56.3

Step-by-step explanation:

The third one.

Answer:

is your answer option no 3 is correct

I hope is helpful