In the trapezium ABCD, AB= 4 cm, BC=9 cm, CD= 16 cm, BCD=90°.
Find AD.

Answer:

the answer is c.x-4

Step-by-step explanation:

x^2+x-20

x^2+5x-4x-20

x(x+5)-4(x+5)

(x-4) (x-5)

the answer is the first graph, A

Answer:

45 cm^2

Step-by-step explanation:

area of the figure

split the figure and form to figure rectangle and square

for rectangle

length = 6 cm + 3 cm

=9 cm

breadth = 4 cm

area of rectangle = l*b

=9 cm * 4 cm

=36 cm^2

for square

length =3 cm

area of square = (3 cm)^2

=9 cm^2

area of figure = area of rectangle + area of square

=36 cm^2 + 9 cm^2

=45 cm^2

Answer:

Step-by-step explanation:

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Answer:

(0,3)

Step-by-step explanation:

solve for 2y

-X-2y= -6

2y=6+2x

substitute the given value of 2y into the equation -x-2y=-6

-x-(6+3x)= -6

solve for x

x=0

substitute the given value of X into the equation 2y=6+3x

2y=6+3×0

solve for y

y=3

the solution is (0,3)

Answer:

122 squared cm

Step-by-step explanation:

[tex]6*12=72[/tex]

[tex]10*5=50[/tex]

[tex]72+50=122[/tex]

Hope this helps

Answer:

122 squared cm

Step-by-step explanation:

First we split the figure into 2

12 x 6

And,

10 x 5

12 x 6 = 72

and

10 x 5 = 50

Now we add 72 + 50 = 122

Answer:

1/6

Step-by-step explanation:

Because because there are six books in total and she only red 5 in the way

Answer:

6×-27=-3×

+3×

9/9×=27/9

×=3

Answer:

(3, 1) (5, 3) (7, 5) (13, 11)

Step-by-step explanation:

There are only three of them that I know of:

(7, 5) (13, 11) (19,17)

Answer:

61.5

Step-by-step explanation:

75% of 82 = [tex]\frac{75}{100}*82[/tex]

                 = 0.75 * 82

                 = 61.5

Answer:

$61.50

Step-by-step explanation:

You turn 75% into 0.75. Then you multiply that by the 82 dollars. Hope that helps.

Answer:

x>7

Step-by-step explanation:

Answer:

[tex]198\:\mathrm{m^3}[/tex]

Step-by-step explanation:

The volume of a cylinder is given by [tex]V=r^2\pi\cdot h[/tex], where [tex]r[/tex] is the radius of the cylinder and [tex]h[/tex] is the height.

What we're given:

Substituting given values, we get:

[tex]V=3^2\pi\cdot 7,\\V=9\cdot 3.14\cdot 7,\\V\approx 197.82\:\mathrm{m^3}=\boxed{198\:\mathrm{m^3}}[/tex], rounded the nearest cubic meter as requested in question.

Answer:

Volume of cylinder is 197.82 m ³.

Step-by-step explanation:

Here,

Diameter of cylinder = 6 m

So, Radius of cylinder, r = 6 / 2 = 3m

Height of cylinder , h = 7 m

Value of π = 3.14

Volume of cylinder

We know that,

Volume of cylinder = π × r ² × h

Substitute the values

Volume of cylinder = 3.14 × ( 3m ) ² × 7 m

volume of cylinder = 3.14 × 9m² × 7 m

Multiply , we get

Volume of cylinder = 197.82 m ³

Therefore, The volume of cylinder id 197.82 m ³.

Answer: 23692929

Step-by-step explanation:

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex](25x-4)^8[/tex]

»»————-　★　————-««  

Here’s why:

⸻⸻⸻⸻  

[tex]\boxed{\text{Calculating the Answer....}}\\\\\rightarrow\sqrt{(25x-4)^{16}}\\\\\rightarrow (25x-4)^{\frac{16}{2}}\\\\\text{Recall that: }a^{\frac{b}{c}}=\sqrt[c]{a^b}\\\\\rightarrow\boxed{(25x-4)^8}\\\\\text{Side Note: }\frac{16}{2}=8[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Step-by-step explanation:

x-intercept => point (2, 0)

y-intercept => point (0, -4)

Answer: 18.84

Step-by-step explanation:

Formula for circumference of a circle is 2[tex]\pi[/tex]r. Radius is half the diameter so 6/2=3. 2(3.14)(3)= 18.84

Answer:

216 square feet

Step-by-step explanation:

Cement patio outside of lawn

(36*13)-(28*9)

468-252

216

Answer:

216

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

because 3 x 9 is 27 and then your gonnna want to subtract 72 and 27 and that really how i got 45 by multiplication and subtraction sorry if it wrong

Answer:

14 cm

Step-by-step explanation:

The maximum area of a rectangle (actually square) with a perimeter of 14 can have is 12.25 cm².  So the smallest perimeter a rectangle of 12 cm² i just a little below 14 cm, namely 4sqrt(12) = 13.86 cm.

Answer:

c

Step-by-step explanation:

because x=9

Aan angle in quadrant I, the value of sin[tex]\theta[/tex] is [tex]\rm Sin \theta=\dfrac{\sqrt{14} }{5}[/tex].

Sin theta is defined as the ratio of perpendicular and hypotenuse.

The given equation is;

[tex]\rm Cos\theta=\dfrac{\sqrt{11} }{5}[/tex]

The cos[tex]\theta[/tex] is given by;

[tex]\rm Cos\theta=\dfrac{Base}{hypotenuse}[/tex]

By applying Pythagoras theorem the value of base is;

[tex]\rm (5)^2=Perpendicular^2+ (\sqrt{11} )^2\\\\ Perpendicular^2= 25-11\\\\ Perpendicular^2=14\\\\ Perpendicular =\sqrt{14}[/tex]

The value of sin[tex]\theta[/tex] is;

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypoteunse}\\\\Sin \theta=\dfrac{\sqrt{14} }{5}[/tex]

Hence, the value of sin[tex]\theta[/tex] is [tex]\rm Sin \theta=\dfrac{\sqrt{14} }{5}[/tex].

Learn more about trigonometry here;

https://brainly.com/question/26719838

#SPJ2

Answer:

Option B

Step-by-step explanation:

Of those surveyed, 26 percent said free international trade helped the economy.

They claimed that trade liberalization and increase in investment in physical capital was the main reason behind the growth of the economy.

Hence, option B is correct

Answer:

A. {-3,0,3,4,5,6,7, 11}

Step-by-step explanation:

I'm prettybsure that A is the range because the range of numbers goes from -3 to 11

Answer:

2.3%

Step-by-step explanation:

18000 = 15000( 1 + i)^8

Divide both sides by 15000

1.2 = (1 + i)^8

Take both sides to the 1/8 power

1.2^(1/8) = 1 + i

1.023051875220463 = 1 + i

Subtract 1 from both sides

i = 0.023051875220463

~ 2.3%

Answer:

x = a(y+17)^2 + 2 where a < 0

Step-by-step explanation:

Since the parabola is horizontal, the formula of the parabola is x = a(y-h)^2 + k where (h,k) is the vertex.

Since it opens to the left, a must be negative. The vertex is (-17, 2), so h = -17 and k = 2.

Substituting these in, we find that the equation is

x = a(y+17)^2 + 2 where a is a real number that is less than 0 (i.e. negative)

I hope this helps! :)

Answer:

D, 34.8 + b =54.6

[tex]perimeter = s + s + s \\ 54.6 = 3a + a + b \\ 54.6 = 4a + b \\ (4 \times 8.7) + b = 54.6 \\ 34.8 + b = 54.6[/tex]

Answer:

30g of Sugar

Step-by-step explanation:

200g of sugar water with 20% sugar content. 20% of 200 is 40. (200/5)

40g of sugar in the sugar water, 10 g taken. 40-10=30

Hope this helps!

:)

Answer:

option B

Step-by-step explanation:

[tex]16x + 20y = (4 \times 4x) + (4 \times 5y) = 4 \times (4x + 5y)[/tex]

Answer:

The third one, y = 5 x 10

Step-by-step explanation:

y = number of Kate's pens, 5 = how many times more pens Kate has than Mark, and 10 = how many pens Mark has.

Answer:

number of A is correct answer