it doesn't let me post pitures

Answer:

x = 20 units

Step-by-step explanation:

∆KJL is a 30° - 60° - 90° triangle which means that side opposite of 30° is x, side opposite of 60° is x√3, and side opposite of 90° is 2x.

Since side opposite of 90° is 40√2 which is 2x and x is the side opposite of 30° (JL).

2x = 40√2 → 2x ÷ 2 = 40√2 ÷ 2 → x = 20√2.

∆JML is a 45° - 45° - 90° triangle which means that sides opposite of 45° are x and 90° is x√2.

Since side JL is also the side opposite of 90° and the sides opposite of 45° are the value x,

20√2 = x√2 → 20√2 ÷ √2 = x√2 ÷ √2 → 20 = x →

x = 20.

Answer:

[tex]110\ in^2[/tex]

Step-by-step explanation:

[tex]1)\ A_1 = b * h_1 = 10 * 8 = 80\ in^2[/tex]

[tex]2)\ A_2 = \frac{b*h_2}{2} = \frac{10*(14-8)}{2} = \frac{10*6}{2} = \frac{60}{2} = 30\ in^2[/tex]

[tex]3)\ A = A_1 + A_2 = 80 + 30\ in^2 = 110\ in^2[/tex]

Answer:

Bella is largely mistaken.

Step-by-step explanation:

What she described equals 90

Answer:

[tex]Pr(Head) = \frac{2}{3}[/tex]

Step-by-step explanation:

The right parameters are:

[tex]Head = 12[/tex]

[tex]Toss = 18[/tex] (not 10)

Required

[tex]Pr(Head)[/tex]

The experimental probability of Head is:

[tex]Pr(Head) = \frac{Head}{Toss}[/tex]

This gives

[tex]Pr(Head) = \frac{12}{18}[/tex]

Simplify

[tex]Pr(Head) = \frac{2}{3}[/tex]

Answer:

Option D

Step-by-step explanation:

Equation of the piecewise function,

f(x) = -x² + 2x  for x ≤ -3

        [tex]2(\frac{1}{3})^{2x}[/tex] for -3 < x < 4

         [tex]\frac{2x-5}{x-7}[/tex] for x ≥ 4

For x = -3,

f(x) = -x² + 2x

f(-3) = -(-3)² + 2(-3)

       = -9 - 6

       = -15

For x = -1

f(x) = [tex]2(\frac{1}{3})^{2x}[/tex]

f(-1) = [tex]2(\frac{1}{3})^{2(-1)}[/tex]

      = [tex]2(\frac{1}{3})^{-2}[/tex]

      = [tex]2\times 3^2[/tex]

      = 18

For x = 4

f(x) = [tex]\frac{2x-5}{x-7}[/tex]

f(4) = [tex]\frac{2(4)-5}{4-7}[/tex]

     = [tex]\frac{3}{-3}[/tex]

     = -1

Therefore, f(-3) + 2f(-1) + f(4) = -15 + 2(18) - (-1)

                                              = -15 + 36 + 1

                                              = 22

Option D will be the correct option.

Answer:

0,5

Step-by-step explanation:

u just need to shorted it

Answer:

C

Step-by-step explanation:

Hii I hope this helps I'm a bit rusty on this stuff but I'm sure it right

Answer:

The probability of rolling an even number would be [tex]\frac{1}{2}[/tex] or 50%.

Step-by-step explanation:

A standard number cube has 6 sides that features numbers 1 to 6 on each side. Since there are three even numbers (2, 4, 6) total on the sides of the number cube, that means the theoretical probability of rolling an even number would be [tex]\frac{3}{6}[/tex], which simplifies to [tex]\frac{1}{2}[/tex] or 50%.

Answer:

Step-by-step explanation:

Let the equation of the function is,

y = mx + b

Here, m = slope of the function

b = y-intercept

y-intercept of function is the y-value of a point where x = 0.

From the table given,

y-intercept 'b' = 1

Slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope of the line passing through (2, 6) and (4, 2) will be,

Slope = [tex]\frac{6-2}{2-4}[/tex]

          = [tex]-2[/tex]

Equation of the line will be,

y = -2x + 1

B). Slope of the line = -2

x-intercept of the line (at y = 0),

y = -2x + 1

0 = -2x + 1

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

y-intercept of the line = 1

y-intercept indicates that the power of the battery was 100% when we turn on the laptop.

C). Equation of the line is,

y = -2x + 1

Here, y = power remaining

x = Hours

For y = 75% ≈ 0.75

0.75 = -2x + 1

0.75 - 1 = -2x

-0.25 = -2x

x = 0.125

Therefore, after 0.125 hours battery power will be 75%.

The slope means that the percentage decrease by 20% each hour, the y intercept means that the battery was 100% at start.

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Let y represent the percent of battery after x hours.

From the table using the points (0, 1) and (4, 0.2):

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\ \\ y-1=\frac{0.2-1}{4-0}(x-0)\\ \\ y=-0.2x+1[/tex]

At y = 75% (0.75):

0.75 = -0.2x + 1

x = 1.25 hours

The slope means that the percentage decrease by 20% each hour, the y intercept means that the battery was 100% at start.

Find out more on linear equation at: https://brainly.com/question/14323743

Answer: The Answer is 3rd

Answer:

14mph

Step-by-step explanation:

First, lets find how many 16s can go into 60.

We can find this by doing 60 / 16 = 3.75

Then we need to find his average speed. We can find this by doing

18.4 * 3.75 = 69

To find how much he exceeded the speed limit, we will subtract 55 from 69

69 - 55 = 14

Therefore, Femi's average speed exceeded the speed limit by 14mph.

Answer:

456

Step-by-step explanation:

The volume of the triangular prism is equal to 456 cubic units.

A triangular prism is a polyhedron constructed of two triangular bottoms and three rectangular flanks. It is a three-dimensional body that has three flank faces.

A prism is a polyhedron in geometry that has n parallelogram faces that connect the n-sided polygon basis, the second base, which is a translated duplicate of the first base, and the n faces.

The volume of the rectangular prism will be calculated by the formula given below:-

V = Bh

B = Area of the base.

h = height of the prism.

From the figure, we can see that the triangular base has a height of 6 and a base of 8 units.

Area of the Base = 6 x 8 = 48 square units.

The volume of the prism will be,

V = 48 x 19

V = 456 cubic units.

Therefore, the volume of the triangular prism is equal to 456 cubic units.

To know more about the volume of the prism follow

https://brainly.com/question/23963432

#SPJ2

Answer:

y(t) = 720e^0.3466t

y = 2036.6288

Step-by-step explanation:

The exponential relation :

y = Ae^kt

A = initial value ; y = final value ; r ; k = exponential rate, t = time

At t = 0

y = 720e^0 ; y = 720

At t = 2 ; y = 720e^2k

1440 = 720e^2k

1440/720 = e^2k

2 = e^2k

Take the In of both sides

0.6931471 = 2k

k = 0.6931471 / 2

k = 0.3466

Hence, equation becomes :

y = 720e^0.3466t

After 3 hours ;

t = 3

y = 720e^0.3466*3

y = 720e^1.0398

y = 720 * 2.8286512

y = 2036.6288

Answer:

1800 m²

Step-by-step explanation:

Since the cost of constructing the path at rs 40 per sq m is rs 13760, if A is the area of the path then we have

rate × area = cost

area = cost/rate = 13760/40 = 344 m²

Now, let L = length of rectangular field and B = breadth of rectangular field. So, its area is A'= LB. Given that L = 2B, A' = 2B × B = 2B².

Also, since the width of the path is 2 m, the inner field has dimensions L - 2 - 2 = L - 4 as length and B - 2 - 2 = B - 4 as breadth since we subtract 2 m from both ends of the each dimension.

So, the inner area is (L - 4)(B - 4) = (2B - 4)(B - 4) = 2B² - 8B - 4B + 16 = 2B² - 12B + 16.

The area of the rectangular field is thus the inner area plus the area of the uniform path

So, 2B² - 12B + 16 + 344

We equate this the the area of the rectangular field. So,

2B² - 12B + 16 + 344 = 2B²

- 12B + 16 + 344 = 2B² - 2B²

- 12B + 360 = 0

- 12B = -360

B = -360/-12

B = 30 m

Since the area of the field A' = 2B²,

A' = 2(30 m)²

= 2(900 m²)

= 1800 m²

9514 1404 393

Answer:

  M R T V B K

Step-by-step explanation:

From left to right the solutions are ...

__

B: equating expressions for y

  -2x = x -3   ⇒   3 = 3x   ⇒   x = 1

R: given

  x = -2

V: filling in for y

  4x +5(2) = 10   ⇒   x = 0

T: subtracting the first from twice the second

  2(3x +y) -(-3x +2y) = 2(0) -9   ⇒   9x = -9   ⇒   x = -1

K: adding the two equations

  (2x +y) +(3x -y) = (7) +(3)   ⇒   5x = 10   ⇒   x = 2

M: equating expressions for y

  x -2 = 1/3x -6   ⇒   2/3x = -4   ⇒   x = -6

__

The solutions in order least to greatest are ...

  -6 (M), -2 (R), -1 (T), 0 (V), 1 (B), 2(K)

The passcode is MRTVBK.

_____

Additional comment

In several cases, there are variables and constants on both sides of the equal sign. The solution method is to identify the smallest variable coefficient, and add the opposite of that term. Also added at the same time is the opposite of the constant term on the other side of the equal sign. The net effect is to put the variable on one side and the constant on the other side. Then the equation is divided by the coefficient of the variable.

For example, in the first equation, -2x is the variable term with the smallest coefficient. -3 is the constant on the other side of the equation. To get from the initial expression to the next, we add 2x+3 to both sides of the equation.

Answer:

450

Step-by-step explanation:

6% = 0.06

0.06x = 27

Divide both sides by 0.06

x = 450

Answer:

78.54 inches squared

Step-by-step explanation:

A=πr^2

π·5^2

Have a good day :)

Answer:

C; D; E

Step-by-step explanation:

✔️Angles in a straight line = 180°

Therefore, m<5 + m<6 = 180° is correct.

✔️Exterior angle of a triangle = the sum of the opposite interior angels based on the exterior angle theorem of a triangle.

Therefore,

m<2 + m<3 = m<6 is correct.

✔️The sum of m<2 + m<3 + m<5 = 180° is correct. This is true based on the sum of triangle theorem.

Answer:

no

Step-by-step explanation:

x²-2x-5=0

a=1

b=-2

c=-5

So also you need to correct the equasion according to the schematic below:

x=(-b+-root(b²-4*a*c))/2*a

Answer:

It's C :D

Step-by-step explanation:

Answer:

a) A = 8000(1 + .06/4)^4t

b) $9,564.95

Step-by-step explanation:

b) A = 8000(1 + .06/4)^12

Answer:

942 6/7 cm²

Step-by-step explanation:

Since O = Center of bigger circle, OA = Radius of bigger circle.

∴ Area of smaller circle - Area of bigger circle = Area of shaded part.

∴ Area of smaller circle = 22/7 × 10²

                                       = 22/7 × 100

                                       = 2200/7

                                       = 314 2/7 cm²

∴ Area of bigger circle = 22/7 × 20 ²

                                      = 22/7 × 400

                                      = 1257  1/7 cm²

∴ Area of shaded part = 1257 1/7 - 314 2/7

                                     =  942 6/7 cm²

Answer:

The ratio of quarters to nickels is:

Step-by-step explanation:

To solve the exercise, you must first consider how big is the ratio of each one to the other, when it is mentioned that the ratio of quarters to dimes is 5:2 it means that for every 5 quarters, Jon has 2 dimes, for the more quarters there are with respect to the dimes, we simply divide the larger value by the smaller:

Thus, we know that there are 2.5 more quarters than dimes. Now the following proportion: the ratio of dimes to nickels is 3:4, which means that for every 3 dimes there are 4 nickels, as the nickels are greater in quantity, we are going to see how many times they are greater in proportion than the dimes making again a division of the major over the minor:

As we can see, the nickels are a little more than 1 with respect to the dimes, now we are going to create two formulas with those values:

Where:

As you see. We only express the calculated proportions, at first glance you can identify that the number of quarters is greater, but to know how much greater with respect to nickels we are going to divide the two values ​​that accompany "d" in the formulas:

If we express it in ratio as it is in the exercise, we obtain:

So, 15:8 is the ratio of quarters to nickels, which means that for every 15 quarters, jon has 8 nickels.

Answer: x = 10 OR x = 4.

Step-by-step explanation: If x = 10 or 4 then the last step of the equation will always be multiplying by 0 which equates to 0 as well.

if x = 10

(10-10)(10-4) -> (0)(6) -> 0 x 6 = 0

if x = 4

(4-10)(4-4) -> (-6)(0) -> -6 x 0 = 0

Answer:

[tex]x = 10 \: and \: 4[/tex]

Step-by-step explanation:

Hope it is helpful....

Answer:

60[tex]\pi[/tex] m³

Step-by-step explanation:

Use the cone volume formula, V = [tex]\pi[/tex]r²[tex]\frac{h}{3}[/tex]

If the diameter is 12 m, the radius will be 6 m.

Plug in the height and radius into the formula, and solve:

V = [tex]\pi[/tex]r²[tex]\frac{h}{3}[/tex]

V = [tex]\pi[/tex](6²)[tex]\frac{5}{y}[/tex]

V = [tex]\pi[/tex](36)[tex]\frac{5}{3}[/tex]

V = 60[tex]\pi[/tex]

So, the volume of the cone is 60[tex]\pi[/tex] m³