All categories

2 years ago

ABCD is a trapezium AD and BC are parallel

Mathematics

2 answers:

Orlov [11]2 years ago

3 0

Part (a)

<h3>Answer: 12.1</h3>

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

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)

<h3>Answer: 15.1</h3>

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

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.

$C = (x_1,y_1) = (18,10)\\\\D = (x_2,y_2) \approx (6.745085,10)\\\\$

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

Segment CD is roughly 15.1 cm long.

Anarel [89]2 years ago

3 0

Answer:

A) 12.1 cm

B) 15.1 cm

Step-by-step explanation:

You might be interested in

Identify each function as a constant, direct variation, absolute value, or greatest integer function.

Anton [14]

None of those describe this function.

It's not a constant function, because it is not equal to a constant (something that isn't a variable)

It doesn't show direct variation, because it can't be represented in the form
y = kx.

It isn't an absolute value function because the absolute value isn't taken anywhere.
If it was an absolute value function it would look something like this:
$g(x) = |x+3|$

It isn't a greatest integer function, because the greatest integer isn't taken anywhere.
If it was a greatest integer function it would look something like this:
$g(x) = \left \lfloor{x + 3}\right \rfloor$

Are you sure you typed that question right?

7 0

3 years ago

What's the answer to this? and please explain.

vichka [17]

<h3>Answer: No, there isn't enough ribbon</h3>

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

Use this formula

a & b/c = (a*c+b)/c

to convert from a mixed number to an improper fraction

So,

a & b/c = (a*c+b)/c

3 & 3/4 = (3*4+3)/4

3 & 3/4 = 15/4

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

Next, we add the fractions 15/4 and 5/6. The denominators aren't the same, so we can't add right away. We need to get the denominators to the LCD.

In this case, the LCD is 4*6 = 24

The fraction 15/4 becomes 90/24 after multiplying top and bottom by 6.
The fraction 5/6 becomes 20/24 after multiplying top and bottom by 4

Now we can add the fractions:

90/24+20/24 = (90+20)/24 = 110/24

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

So far, we've added the 3&3/4 portion to the 5/6 portion to get the result 110/24

The last thing to do is to add on the two 1/3 ft pieces, which means we're adding on 2/3 of a foot

2/3 = 16/24 after multiplying top and bottom by 8

Add this to the result of the last section

110/24+16/24 = (110+16)/24 = 126/24

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

From here, we convert the improper fraction 126/24 to decimal form

Using a calculator, you should find that 126/24 = 5.25

The result is larger than 5, which means she used too much ribbon. There won't be enough ribbon to do everything she wants to do.

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

The shortcut we can take is to type the following into the calculator

3+3/4+5/6+2/3

doing so should lead to 5.25

5 0

3 years ago

Read 2 more answers

Please answer this its in the picture

Basile [38]

The correct answer is

2 cents.

4 0

2 years ago

Read 2 more answers

Help............please

marin [14]

Answer:

k=5

Step-by-step explanation:

subtract 14 from both sides

4 0

2 years ago

Read 2 more answers

Identify the slope and y-intercept of this equation and then show the steps to convert to standard form

kirill [66]

The slope is the factor in front of x, so slope is 9.

The y intercept is 7 (that's the point of cross the y axis, where x=0)

There are multiple definitions of "standard form" for lines, so here are the two i can think of:

9x - y = -7 (the implicit function form)

y-7 = 9*(x-0) (the point-slope form)

Lmk if you have questions.

5 0

3 years ago