Determine the sum of the areas of the three triangles shown above.

Answer:

Step-by-step explanation:

6t =9

9514 1404 393

Answer:

  20 : 7

Step-by-step explanation:

2 cm = 20 mm, so the ratio of white to colored fabric is ...

  20 mm : 7 mm = 20 : 7

Answer:

b

Step-by-step explanation:

Part (a)

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

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.

===================================================

Part (b)

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

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.

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Answer:

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

Step-by-step explanation:

Answer:

-8

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:

Correct answers A) Subtract 5x

Step-by-step explanation:

Answer:

4x3−6x2−7x+6

Sorry if I got it wrong.

Answer:

8 rectangles

Step-by-step explanation:

I just folded a piece of paper three times and I counted 8 rectangles!

Answer:

8

Step-by-step explanation:

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$

The probability of choosing two dimes consecutively without replacement is 0.196.

i.e

P (both dimes) = 0.196

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

The total number of coins.

= 4 quarters + 18 dimes + 10 nickels + 8 pennies.

= 40

The probability of choosing a dime.

= 18/40

The probability of choosing a dime without replacing the first dime.

= 17/39

The probability of choosing two dimes.

= 18/40 x 17/39

= 306 / 1560

= 0.196

Thus,

P(both dimes) = 0.196

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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:

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:

the answer is D

Step-by-step explanation:

Exact Form: 55 /14

Decimal Form:  3.92857142

Mixed Number Form: 3  13 /14

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:

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:

 [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:

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

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:

i believe 15 minutes

Step-by-step explanation:

9514 1404 393

Answer:

  a) ∠DAE = 33°; ∠ABD = 57°

  b) ∠CEB = 90°

  c) ∠ABE = 22°

  d) ∠ADE = 15°

Step-by-step explanation:

The diagonals of a rhombus meet at right angles. Each bisects the corner angles at its ends. Adjacent angles are supplementary, opposite angles are congruent, and each diagonal creates two isosceles triangles.

a) ∠DAE = 90° - ∠ADE = 90° -57°

  ∠DAE = 33°

  ∠ADE = ∠ABD = 57°

__

b) ∠CEB = 90° . . . . . the diagonals meet at right angles

__

c) ∠ABE = 44°/2

  ∠ABE = 22°

__

d) ∠ADE = 90° -(1/2)∠DAB = 90° -150°/2

  ∠ADE = 15°

Answer: it is C

Step-by-step explanation:

Answer:

yes it's rotated 180 degree angle

Answer: 0.90 g/cm3

Step-by-step explanation:

Their ratio is given by the mass density of ice: M/V = Rhoi ~ 0.90 g/cm3 (iceberg ice is more dense than normal ice since it has been compressed by thousands of years of pressure - normal ice is 0.917 g/cm3).

Answer:

Basal melting of floating ice shelves and iceberg calving constitute the two ... of the Southern Ocean free of large icebergs are largely populated by small iceberg  the hidden part, which is the most important in terms of effort and often the most  So this work explores use of NISAR to map surface structures visible on ice

Step-by-step explanation: