Simplify 7x-2xy + 9xy - 2x + 5
Please help

Part (a)

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Work Shown:

We'll apply the sine rule since we have a known opposite side of AB = 10 and an unknown hypotenuse we want to find BD.

Focus on triangle ABD

sin(angle) = opposite/hypotenuse

sin(D) = AB/BD

sin(56) = 10/x

x*sin(56) = 10

x = 10/sin(56)

x = 12.062179

x = 12.1

Make sure your calculator is in degree mode.

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Part (b)

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Work Shown:

Draw an xy coordinate grid.

Place point A at the origin (0,0).

Point B is 10 units above this, so B is at (0,10).

Point C is at (18,10) since we move 18 units to the right of B.

Point D is at approximately (6.745085, 0). The 6.745085 is from solving tan(56) = 10/x for x.

Refer to the diagram below.

Apply the distance formula for the points C and D.

[tex]C = (x_1,y_1) = (18,10)\\\\D = (x_2,y_2) \approx (6.745085,10)\\\\[/tex]

[tex]d = \text{ distance from C to D}\\\\d = \sqrt{ (x_1-x_2)^2+(y_1-y_2)^2}\\\\d \approx \sqrt{ (18-6.745085)^2+(10-0)^2}\\\\d \approx \sqrt{ 226.673112 }\\\\d \approx 15.055667\\\\d \approx 15.1\\\\[/tex]

Segment CD is roughly 15.1 cm long.

a) The length of BD to 1 decimal place is 12.1

b) The length of CD to 1 decimal place is 15.1

Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.

Given ABCD is a trapezium AD and BC are parallel

we have a known opposite side of AB = 10 and an unknown hypotenuse we want to find BD.

on triangle ABD

sin(angle) = opposite/hypotenuse

sin(D) = AB/BD

sin(56) = 10/x

xsin(56) = 10

x = 10/sin(56)

x = 12.062179

x = 12.1 degree

Let xy coordinate grid. Place point A at the origin (0,0).

Point B is 10 units above this, B is at (0,10).

Point C is at (18,10) since we move 18 units to the right of B.

Point D is at approximately (6.745085, 0).

The 6.745085 solving tan(56) = 10/x for x.

Apply the distance formula for the points C and D.

D = √(18 - 6.745085)² + (10 -0)²

D = 15.1

Thus Segment CD is roughly 15.1 cm long.

Learn more about quadrilateral;

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Answer:

3 x 180=540

540/5 =108

Answer:

b

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

:))

Answer:

−3+2(2)=3

Step-by-step explanation:

2(2)+10=3+13

2(2x)+10−10=3+13−10

Answer:

Step-by-step explanation:

a) area of the rectangle = length × breadth

Therefore area should be = 12cm × 6cm

Which should give you the answer 72centimetre squared.

b) area of triangle A = 1/2 × b × h

So that is 1/2 × 3 × 6

Which is 18 centimetres × 1/2

Which is 9 centimetres squared

c) area of triangle B = 1/2 × b × h

So 1/2×3×6=18

Now 1/2×18 should give you 9 centimetres squared

d) therefore the area of the parallelogram = 72+9+9=90 centimetres squared

Therefore the area of the parallelogram is 90 centimetres squared

Answer:

The last one: Each y-value is determined by adding 2 to each x-value so the pattern is additive. Hope this helps, if not try the multiplying 2 one!

Answer: I would have to say 237.5

                  (152 is 80% of 190)

Step-by-step explanation:

If 190 is 80% of a number then you need to reverse the process, .8 * 190 = 80% OF 190 but 190 / .8 = 237.5 which means that 190 is 80% of 237.5

                              ~Notify me if you have questions~

                             Have a nice day and I hope it helps!

                                                       ^ω^

-- XxFTSxX

Answer:

the answer is D

Step-by-step explanation:

Exact Form: 55 /14

Decimal Form:  3.92857142

Mixed Number Form: 3  13 /14

Answer:

 [tex]no[/tex]

Step-by-step explanation:

Lets solve the first half.

[tex]-4 ( x - 6) = -4x + 24[/tex]

Second one:

[tex]-4 times x - 4 times 6 = -4x -24[/tex]

Now compare.....Not the same right??

So your answer is:  [tex]no[/tex]

Hope this helps :)

Answer:

:) i have no idea have a good day hope u get it

Step-by-step explanation:

Answer:

21/4 or 5.25

Step-by-step explanation:

Answer:

5 1/4

Step-by-step explanation:

This is the answer because 1 3/4 as an improper fraction is 7/4 and 7/4 x 3/1 = 21/4 and that as a mixed number is 5 1/4

Answer:

Step-by-step explanation:

6t =9

Answer:

VT = 50√3 , PT = 50

Step-by-step explanation:

Given

PV = 100

With reference angle 60°

hypotenuse (h) = 100

perpendicular (p) = ?

Now

Sin 60° = p/h

√3 / 2 = p / 100

p = √3 * 100 / 2

p = 50√3

Also

With reference angle 30°

hypotenuse (h) = 100

perpendicular (p) = ?

sin 30° = p/h

1/2 = p / 100

p = 100 / 2

p = 50

Hope it will help :)

Answer:

40 is correct answer.its ok if wrong sorry

1min=4 newspapers

3min=12 newspapers

how I got 1min=4 newspapers

so I took how he got 20 newspapers in 5 min divided 20 by 5

which I got 4 out of than I did 4x3 and got 12 which means 3mins= 12 newspapers

brainleys please

Answer:

-8

Step-by-step explanation:

Answer:

Correct answers A) Subtract 5x

Step-by-step explanation:

Answer:

$125.50

but I'm not sure

Step-by-step explanation:

100÷100=1

1×12=12

100-12=88

jeans with discount = $88

50÷100=0.5

0.5×25=12.50

5000-1250=3750

t-shirt with discount = $37.50

3750+8800=12550

Answer:

125.5

Step-by-step explanation:

100 x .12= 12

100-12=88

50 x .25 = 12.5

50-12.5 = 37.5

88 + 37.5 = 125.5

Answer: it is C

Step-by-step explanation:

Answer: All of the values that can go into a relation or function (input) are called the domain. The domain is the set of all first elements of ordered pairs (x-coordinates). The range is the set of all second elements of ordered pairs (y-coordinates). Only the elements "used" by the relation or function constitute the range.

Answer:

i believe 15 minutes

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

6/8

to get an equivalent fraction you need to multiply or divide your numerator and denominator by the same number

Answer:

yes it's rotated 180 degree angle

Answer:

The answed is a function

Step-by-step explanation:

Since there is one value of y for every value of x in the data the realtion is a function

Step-by-step explanation:

Apples cost four times as much as oranges per pound.

If the cost of orange =x

then, cost of apples =4x

But,

the costs of apples =2.80$

So,4x=2.80

[tex]\tt{ x=\dfrac{2.80}{4} }[/tex] ⠀

[tex]\tt{ x=0.70\$ }[/tex] ⠀

so,oranges costs for per pound =0.70$