A piece of land ABCD is in the shape of a trapezium
as shown in the diagram. AB = 40 m, BC = 39 m,
AD = 30 m, and <ABC = <BAD = 90°. Find
(a) the length of the side CD,
(b) angle BCD,
(c) the area of the land.
​

Answer: (4,2)

Step-by-step explanation: The point where the two lines cross is the solution. In parentheses the first number is the x-value, 4. The second number is the y-value, 2 in this example.

(4,2)

step by step explanation:

the two points join at (4,2) on the graph

first we want to write the point on the x-axis that is 4 and then y-axis that is 2 this two lines join at the point (4,2) so answer is (4,2)

Answer:

[tex]\boxed{Option \ C}[/tex]

Step-by-step explanation:

[tex]Sin \ Y = \frac{Opposite }{Hypotenuse } = \frac{XZ}{XY}[/tex]

[tex]Cos \ Y = \frac{Adjacent}{Hypotenuse} = \frac{YZ}{XY}[/tex]

[tex]Tan Y = \frac{opposite}{adjacent} = \frac{XZ}{ZY}[/tex]

Answer:

[tex]\boxed{\mathrm{C}}[/tex]

Step-by-step explanation:

sin [tex]\theta[/tex] = Opposite/Hypotenuse

sin (Y) = [tex]\frac{XZ}{XY}[/tex]

cos [tex]\theta[/tex] = Adjacent/Hypotenuse

cos (Y) = [tex]\frac{YZ}{XY}[/tex]

tan [tex]\theta[/tex] = Opposite/Adjacent

tan (Y) = [tex]\frac{XZ}{YZ}[/tex]

Answer:

C

Step-by-step explanation:

Answer: 1080 degrees

Hoped this helped :)

Answer:

y=3/10;X=-7/10

Step-by-step explanation:

put y=x+1 into where you find y.

solve for X which is -7/10

and put -7/10 into the second equation and solve for y. which is also =3/10

Answer:

4 hours

Step-by-step explanation:

Formula for volume of a cylinder is πr² · h

1. Find the volume of the pool

π(3.5²) · 1.9 = 73.1 m³

2. Divide by the amount of water pumped out per hour (17 m³)

73.1 ÷ 17 = 4.3

It would take 5 hours to completely empty the pool but 4.3 rounded to the nearest whole hour is 4 hours.

Answer:

The hours does it take to empty the pool is 4.299

Step-by-step explanation:

In order to calculate how many hours does it take to empty the pool, we would have to make the following calculation:

hours does it take to empty the pool=Volume of cylinder/rate water is pumped out of the pool

rate water is pumped out of the pool=17m∧3

Volume of cylinder=pi*r∧2*l

According to the given data:

r=3.5

l=1.9

Therefore, Volume of cylinder=3.14*3.5∧2*1.9

Volume of cylinder=73.0835 m∧3

hours does it take to empty the pool=73.0835/17

hours does it take to empty the pool=4.299

The hours does it take to empty the pool is 4.299

Answer:

Onyango is 48, his daughter is 16 and his son is 12

Step-by-step explanation:

Let's call Onyango's age x, therefore his daughter and son's ages are 1/3 x and 1/4 x respectively. We can write:

x + 8 = 12 + (1/3x + 8 + 1/4x + 8)

x + 8 = 7/12x + 28

5/12x = 20

x = 48 → 1/3x = 48 / 3 = 16, 1/4x = 48 / 4 = 12

Answer:   [tex]t_9=\dfrac{1}{2^8}[/tex]

Step-by-step explanation:

[tex]t_n=t_1\times r^{n-1}\\\\Given: t_1=1,\quad r=\dfrac{1}{2}\\\\\\t_9=1\times\bigg(\dfrac{1}{2}\bigg)^{9-1}\\\\\\.\quad =\large\boxed{\dfrac{1}{2^8}}[/tex]

Answer:

Step-by-step explanation:

Faktor (x-a) means a is x-intercept

x-10  ⇒  10 is x-intercept

22-x  ⇒  22 is x-intercept

x+10  ⇒  -10 is x-intercept

20+x  ⇒  -22 is x-intercept

so in the graph have to be at least two intercepts <0 and at least two intercepts >0

Answer:

7√2 cm

Step-by-step explanation:

Aquí, estamos interesados ​​en encontrar la longitud del lado de un cuadrado que tiene una longitud diagonal de 14 cm.

Una diagonal es una línea que se extiende desde un borde del cuadrado hasta el otro borde del cuadrado internamente.

Ahora, una diagonal de un cuadrado junto con dos lados de un cuadrado forman un triángulo rectángulo isósceles, siendo la diagonal la hipotenusa de este triángulo rectángulo.

Sabemos que los lados de un cuadrado tienen la misma longitud y, por lo tanto, llamemos a este lado desconocido x cm.

Matemáticamente, según el teorema de Pitágoras, el cuadrado de la hipotenusa es igual a la suma de los cuadrados de los otros dos lados.

Por lo tanto, tenemos;

14 ^ 2 = x ^ 2 + x ^ 2

196 = 2x ^ 2

dividir ambos lados por 2

98 = x ^ 2 x = √98

x = √ (49 * 2)

x = 7√2 cm

Por lo tanto, la longitud del lado del cuadrado es de 7√2 cm

Answer:

(b) -m, m + 3

Step-by-step explanation:

x² − 3x − m(m + 3) = 0

x² − 3x = m(m + 3)

x² − 3x + 9/4 = m(m + 3) + 9/4

(x − 3/2)² = m(m + 3) + 9/4

(x − 3/2)² = m² + 3m + 9/4

(x − 3/2)² = (m + 3/2)²

x − 3/2 = ±(m + 3/2)

x − 3/2 = m + 3/2, -m − 3/2

x = m + 3, -m

Answer:

A consistent system of equations has at least one solution, and an inconsistent system has no solution.

Step-by-step explanation:

Answer:

A consistent system of equations has at least one solution, and an inconsistent system has no solution.

Step-by-step explanation:

nvm

Answer:

The answer is option D.

Step-by-step explanation:

[tex] \frac{10!}{(10 - 3) ! } = \frac{10!}{7!} = \frac{3628800}{5040} = 720[/tex]

Hope this helps you

Answer:

720

Step-by-step explanation:

(A P E X)

Answer:

Step-by-step explanation:

The two equations are 8x-10y=-23 and 9x+10y=-16.

If you plug them both into a graphing calculator, you will see that the point where they cross (the solution) is (-2.3, 0.5).

The answer is A.

Answer:

i think it is A

Step-by-step explanation:

if right pls give brainliest

Nvm it is right pls give brainliest i need 5 to get to next rank

Step-by-step explanation:

Here,

7x-6=5x+10 (as it has given already that alternate exterior angle are equal.

now, simplifying,

or,7x-5x = 10+6.

or, 2x=16

or, x=16/2

Therefore the value of x is 8.

i hope it helps.....

Answer:

1 3/4

Step-by-step explanation:

5/4 + 1/2

Get a common denominator of 4

5/4 * 1/2 *2/2

5/4 + 2/4

7/4

Rewriting as a mixed number

4/4 + 3/4

1 3/4

Answer: [tex]45+65x\leq250[/tex] .

Step-by-step explanation:

Given: Cost to operate the forklift  per day = $45

Cost for each crew member per day = $65

Let x be the number of crew members.

Then, we have

Total cost = (Cost to operate the forklift  per day)+(Cost for each crew member per day)×(number of crew members)

= 45+65x

Since, the contractor can spend at most $250.

Then, the required inequality: [tex]45+65x\leq250[/tex] .

Answer:

(x - 3) (3x + 1)

Step-by-step explanation:

3x^2 -8x - 3

3x^2 - 9x + x - 3

3x (x - 3) + 1 (x - 3)

(x -3) (3x + 1)

Answer:

He will earn 80% during training

Step-by-step explanation:

Lets take $25 as 100%

And take $20 as x

Using equivalent ratios, the equation would look like: $25:100% = $20:x

Next, turn them into fractions: $25 = $20

100% x

Cross multiply to get:

(25)x = $20×100%

The next step:

25x = $20×100%

25 25

25 and 25 will cancel each other out leaving x, and 25 will divide 100% which will give you 4

Leaving it as:

x= 20×4%

x= 80%

Answer:

better measure the center:the mean

Answer:

The best measure of senter would be the mean since it is not symmetrical.  The better measure of spread would be standard deviation for the same reason.

Step-by-step explanation:  I have just finished algebra. lol.  I hope i helped.  Please mark brainliest, if you want.  I dont have the best explanation but i hope it works for you.  If you need a better explanation feel free to ask.

Answer:

Option D is the correct option.

Step-by-step explanation:

y = - 2x - 3 → Equation ( i )

y = 3x + 2 → Equation ( ii )

Using elimination method

y + 2x = - 3

y - 3x = 2

---------------------

5x = - 5

Divide both sides of the equation by 5

[tex] \frac{5x}{5} = \frac{ - 5}{5} [/tex]

Calculate

[tex]x = - 1[/tex]

Again, Putting the value of x in equation ( ii ) in order t get the value of y

[tex]y = 3x + 2[/tex]

plug the value of x

[tex] = 3 \times ( - 1) + 2[/tex]

Any expression multiplied by ( - 1 ) equals it's opposite

[tex] = - 3 + 2[/tex]

Calculate

[tex] = - 1[/tex]

Therefore, The possible solution of the system is the ordered pair ( x , y )

[tex](x \:, y \: ) = ( - 1 \:, - 1)[/tex]

-----------------------------------------------------------------------

Check if the given ordered pair is the solution of the system of equation

[tex] - 1 = - 2 \times ( - 1) - 3[/tex]

[tex] - 1 = 3 \times ( - 1) + 2[/tex]

Simplify the equation

[tex] - 1 = - 1[/tex]

[tex] - 1 = - 1[/tex]

Since all the equalities are true, the ordered pair is the solution of the system.

Hope this helps..

Best regards!!

Answer:

The answer is option D.

Step-by-step explanation:

Area of a circle is πr²

where r is the radius

from the question the area is n cm² which is a variable and not a number therefore cannot be used to determine the radius of the circle.

Hope this helps you

Answer:

thank you

Step-by-step explanation:

Answer:

D: It has reflectional symmetry with one line of symmetry

Step-by-step explanation:

The reason D is the answer is because, the tree has the same sides and if you put a line in the middle of the tree it is identical to the other side.

The image has a reflectional symmetry with one line of symmetry. The correct option is d.

A reflectional symmetric image has at least one line (axis) along which it can be folded or reflected to produce a complementary or identical image on the opposite side. The image is split along this line of symmetry into two equal halves that are mirror images of one another. The reflectional symmetry gives the picture a feeling of harmony and balance.

It is similar to viewing an image through a mirror in that the portion that is reflected is an exact replica of the original. This kind of symmetry is frequently found in many patterns and objects in nature, art and architecture which enhances the overall design's aesthetic appeal and visual interest.

learn more about reflectional symmetry here

brainly.com/question/27847257

#SPJ2

Answer: The volume of the cone is 130 cubic centimeters.

Step-by-step explanation:

We know that to find the volume of a cylinder you will use the formula

V= [tex]\pi[/tex][tex]r^{2} *h[/tex]  Where r is the radius and h is the height.

And to find the volume of a cone you will use the formula

V= [tex]\pi[/tex][tex]r^{2}[/tex]*h /3

So if they have the same dimensions which is the height and the radius then we will just divide the  volume of the cylinder by 3 to find the volume of the cone.

V = 390/3

V =  130 cm^3

Answer:

The answer is

Step-by-step explanation:

f(x) = 36x^5 − 44x⁴ − 28x³

g(x) = 4x²

To find f(x) / g(x) Divide each term of f(x) by g(x)

That's

[tex] \frac{f(x)}{g(x)} = \frac{ {36x}^{5} - {44x}^{4} - {28x}^{3} }{ {4x}^{2} } \\ \\ = \frac{ {36x}^{5} }{ {4x}^{2} } - \frac{ {44x}^{4} }{ {4x}^{2} } - \frac{ {28x}^{3} }{ {4x}^{2} } \\ \\ = {9x}^{3} - {11x}^{2} - 7x[/tex]

Hope this helps you

Answer:

9x³ - 11x² - 7x

Step-by-step explanation:

guy abpove is right or bwlowe

Answer:

[tex] Area = 538.5 m^2 [/tex]

Step-by-step Explanation:

Given:

∆XVW

m < X = 50°

m < W = 63°

XV = w = 37 m

Required:

Area of ∆XVW

Solution:

Find side length XW using Law of Sines

[tex] \frac{v}{sin(V)} = \frac{w}{sin(W)} [/tex]

W = 63°

w = XV = 37 m

V = 180 - (50+63) = 67°

v = XW = ?

[tex] \frac{v}{sin(67)} = \frac{37}{sin(63)} [/tex]

Cross multiply

[tex] v*sin(63) = 37*sin(67) [/tex]

Divide both sides by sin(63) to make v the subject of formula

[tex] \frac{v*sin(63)}{sin(63)} = \frac{37*sin(67)}{sin(63)} [/tex]

[tex] v = \frac{37*sin(67)}{sin(63)} [/tex]

[tex] v = 38 [/tex] (approximated to nearest whole number)

[tex] XW = v = 38 m [/tex]

Find the area of ∆XVW

[tex] area = \frac{1}{2}*v*w*sin(X) [/tex]

[tex] = \frac{1}{2}*38*37*sin(50) [/tex]

[tex] = \frac{38*37*sin(50)}{2} [/tex]

[tex] Area = 538.5 m^2 [/tex] (to nearest tenth).

Answer:

10.375

Step-by-step explanation:

1.) Add up all the amount of pizzas |  12 + 9 + 11 +10+13+8+ 7,+ 13=83

2) Divide the total amount of pizzas by the amount of pizzas/amount of numbers of pizzas. | 83 divided by 8 =

10.375

Answer: g(x) is shifted 2 units to the left and 7 units down.

Step-by-step explanation:

Here, if we compare the graph of [tex]g(x) = (x + 2)^3 -7[/tex] compare to the parent function of [tex]f(x) = x^3[/tex].

We can observe that f(x) is shifted  2 units to the left and 7 units down.

So, the correct statement is "g(x) is shifted 2 units to the left and 7 units down".

Answer:

g(x) is shifted 2 units to the left and 7 units down.

Step-by-step explanation:

I took it and got it correct.

Answer: B.) $275

Step-by-step explanation:

Rates charged by insurance company :

House Insurance 50 per $100

Contents Insurance 25 per $100

Value of House = $50,000

Insurance Fee:

$50,000 / $100 = 500

500, 50 cent payment,

50 cent × 500 = 25000 cent

Value of content = $10,000

Insurance Fee:

$10,000 / $100 = 100

100, 25 cent payment

25 cent × 100 = 2500 cent

Total insurance fee:

(25000 + 2500) cent

= 27500 cent

27,500 cent / 100

= $275