Where do planes ABC and BFG intersect?

Answer:

L= 15

W= 25

Step-by-step explanation:

w(w-10) =375

w^2-10w-375=0

w=25 or -15

Length=25-10 =15

The length and width of the rectangle field are 15 yards and 25 yards if the surface covered by a rectangular field is 375 square yards.

It is defined as the two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

Let L and W be the length and width of the rectangle.

The area of the rectangular field is 375 square yards

W = 10 + L

As we know,

Area = LW

375 = L(10 + L)

375 = 10L + L²

L²+ 10L - 375 = 0

After solving the above quadratic equation:

L = 15 yards

L = -25 (length cannot be negative)

Plug L in the equation W = 10 + L to get the width of the rectangular field

W = 10 + 15

W = 25 yards

Thus, the length and width of the rectangle field are 15 yards and 25 yards if the surface covered by a rectangular field is 375 square yards.

Learn more about the rectangle here:

https://brainly.com/question/15019502

#SPJ2

Answer:

A.) The reaper separated cotton fibers from cotton seed much faster than the manual

method used earlier.

B.) The reaper made it possible to communicate very quickly across a wire.

C.) The reaper replaced the old method of sewing clothes by hand.

D.) The reaper could cut grain much faster than the older method of harvesting by hand

with a scythe.Step-by-step explanation:

Answer:

x = 49

Step-by-step explanation:

Let's solve for x in the first triangle by applying the leg rule.

Leg rule is given as: hypotenuse/leg = leg/part

Hypotenuse = x

Leg = 28

Part = 16

Plug in the values into the equation

x/28 = 28/16

Cross multiply

x*16 = 28*28

16x = 784

x = 784/16

x = 49

✔️Let's check our answer to see if we would get the same value of x for the other triangle. Apply the same leg rule.

Hypotenuse = x

Leg = 21

Part = 9

Thus:

x/21 = 21/9

Cross multiply

x*9 = 21*21

9x = 441

x = 441/9

x = 49

✔️We have the same value. Therefore, x = 49 is the correct answer.

Answer:

Step-by-step explanation:

From the given information:

The uniform distribution can be represented by:

[tex]f_x(x) = \dfrac{1}{1500} ; o \le x \le \ 1500[/tex]

The function of the insurance is:

[tex]I(x) = \left \{ {{0, \ \ \ x \le 250} \atop {x -20 , \ \ \ \ \ 250 \le x \le 1500}} \right.[/tex]

Hence, the variance of the insurance can also be an account forum.

[tex]Var [I_{(x}) = E [I^2(x)] - [E(I(x)]^2[/tex]

here;

[tex]E[I(x)] = \int f_x(x) I (x) \ sx[/tex]

[tex]E[I(x)] = \dfrac{1}{1500} \int ^{1500}_{250{ (x- 250) \ dx[/tex]

[tex]= \dfrac{1}{1500 } \dfrac{(x - 250)^2}{2} \Big |^{1500}_{250}[/tex]

[tex]\dfrac{5}{12} \times 1250[/tex]

Similarly;

[tex]E[I^2(x)] = \int f_x(x) I^2 (x) \ sx[/tex]

[tex]E[I(x)] = \dfrac{1}{1500} \int ^{1500}_{250{ (x- 250)^2 \ dx[/tex]

[tex]= \dfrac{1}{1500 } \dfrac{(x - 250)^3}{3} \Big |^{1500}_{250}[/tex]

[tex]\dfrac{5}{18} \times 1250^2[/tex]

∴

[tex]Var {I(x)} = 1250^2 \Big [ \dfrac{5}{18} - \dfrac{25}{144}][/tex]

Finally, the standard deviation  of the insurance payment is:

[tex]= \sqrt{Var(I(x))}[/tex]

[tex]= 1250 \sqrt{\dfrac{5}{48}}[/tex]

≅ 404

Answer:

18.5%/10×100

185

2155-185

1970

now pls round off cause I don't understand 2dp

Answer:

Just convert the number to the third digit and the answer will be b

Answer:

the answer is 59

Step-by-step explanation:

your welcome

Answer:

Slope = -1

Step-by-step explanation:

The equation we use for slope is as follows:

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

The graph gives us four points, but we only need two to solve our equation: (-2,5) and (2,1)

Now, we need to define which variable goes with which point:

Y2 = 1

X2 = 2

Y1 = 5

X1 = -2

If we plug these into our equation we get the following:

m = (1 - 5) / (2 - -2)

m = (-4) / (-4)

m = -1

Our slope for this graph = -1

I hope this helps!

-TheBusinessMan

Answer: (8, 6) is located at Area A.

Step-by-step explanation:

The first number inside the parentheses can be found on the x-axis. The second on the y-axis.

Answer:

Step-by-step explanation:

cost = 12,000

list price = 1.30×12,000 = 15,600

discounted price = 0.80×15,600 = 12,480

purchase price = (1+VAT)×12,480 = 14,102.40

1+VAT = 14,102.40/12,480 = 1.13

VAT = 0.13 = 13%

Answer:

12 years if interest is paid yearly

12 months if interest is paid monthly

Step-by-step explanation:

2.75% of $1500 is $41.25 interest per period

$1995-$1500 = $495 total interest

$495 ÷ $41.25 = 12 periods

Therefore it takes 12 interest periods to reach $1995, so the answer is 12 months or 12 years depending on how often interest is paid.

Answer:

Step-by-step explanation:

There is an error in the question. The table does not show two linear functions.  y₁ is a linear function, but   y₂ is not a straight line. It makes a bend at (-6,1).

Line 1 goes through (-12,-3) and (0,5).

slope  = (5-(-3))/(0-(-12)) = 2/3

y-intercept = 5

y₁ = (2/3)x + 5

Line 2 goes through (-12,-2) and (-6,1).

slope = (1-(-2))/(-6-(-12)) = 1/2

y₂ = (1/2)x + 4

(2/3)x + 5 = (1/2)x + 4

x = -6

y = (2/3)x + 5 = 1

Solution: (-6,1)

Answer:

We know,

Area of triangle = 1/2 * b * h

= 1/2 * 2x * 3x

= 1/2 * 6x

= 3x

Hope it helped

All the best !!

The area of the given triangle is 3x².

A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.

Sum of the interior angles of a triangle is 180 degrees.

Given a triangle.

Area of a triangle can be found using the formula,

Area = [tex]\frac{1}{2}[/tex] × base × height

Given,

Base = 3x and height = 2x

So using the formula,

Area = [tex]\frac{1}{2}[/tex] × 3x × 2x

        = 3x × x

        = 3x²

Hence the area of the triangle is 3x².

Learn more about Area of Triangle here :

https://brainly.com/question/27683633

#SPJ2

Answer:

1.ASA

2.AAS

3.?

4.ASA

5.SSS

6.SSS

7.ASA

Answer:

Socialisation is the process through which individuals learn the norms and values of society, leading to social cohesion and a functional society

hope it helps you

please mark me as brainlist

Step-by-step explanation:

mixing up and following social norms and values as a member of the society is called socialization.

Answer:

There are 2 possible solutions

Step-by-step explanation:

Given

x² = 100 ( take the square root of both sides )

x = ± [tex]\sqrt{100}[/tex] = ± 10

Since 10 × 10 = 100 and - 10 × - 10 = 100

solutions are x = 10 , x = - 10

Answer:

80%

Step-by-step explanation:

80÷64= 0.8

0.8 = 80%

You just need to divide the number of students that play sports by the total number of students and you'll get your answer

Answer:

I'm not going to lie I'm not 100% sure but I think it's c

Answer:

D

Step-by-step explanation:

4x=4+2y

3y=5+2x

Answer:

s = 16.2 units

Step-by-step explanation:

s^2 = 15^2 + 6^2   (6 is 1/2 of 12)

s^2 = 225 + 36

s^2 = 261

s = 16.16

First multiply the second ( ) with 3x then multiply it with -2 and add them together So

(3x-2)(5x^2-3x+1)

=3x(5x^2-3x+1)+ -2*(5x^2-3x+1)

=15x^3-9x^2+3x -10x^2+6x-2

=15x^3-19x^2+9x-2

Done!

Answer:

6

Step-by-step explanation:

Um so what I did was 15/5=3 and 14/7+2

So for the first group of men, 2 groups. TIMES 3.

Equals 6 options

Answer:

118.71$

Step-by-step explanation:

Answer:

[tex]g(x) = \frac{ - 19}{3} x \: + 2[/tex]

I hope that is right

Answer:

three thousand five hundred seventy nine

Step-by-step explanation:

Answer:

P(15) = (200,000)(1.08)15 = 634,434

Step-by-step explanation:

If the population at the beginning of 2000 was 200,000

Then the growth equation is P = Po(1.08)(y)     where year year 2000 was year 1 or y = 1

At the end of 2015 or  2015-2000 = 15 years later, or at the end of the 15th year

Answer:

?????????

Step-by-step explanation:

wheres the equation