100 points pls help
ABCD is a trapezium.
A
р
B
AB = p
AD = 9
DC AB = 3:2
D
С
a) Write vector DC in terms of p.
+
b) Work out vector BC in terms of p and q.
Give your answer in its simplest form.

100 Points Pls HelpABCD Is A Trapezium.ABAB = PAD = 9DC AB = 3:2Da) Write Vector DC In Terms Of P.+b)

Answers

Answer 1

Answer:

a) 2/3pb) q + 1/2p

Step-by-step explanation:

Given

AB  = pAD = q

a)

DC /AB = 3/2 ⇒ DC = 3/2AB = 3/2p

b)

BC = AD + (DC - AB)BC = q + (3/2p - p) = q + 1/2p
Answer 2

Answer:

a) DC=1.5p

b) q=0.5p

Step-by-step explanation:


Related Questions

Which inequality is true?
1-50 < -100
-50 > 1-100
|--100 < 50
1-100) > 150

Answers

Answer:

1-100>150

Step-by-step explanation:

Draw and ordered stem and leaf diagram to show this information.

2, 7, 13, 18, 20, 25, 27, 28, 32

Answers

Answer:

STEM | LEAF

_0 __ | 2, 7

_1 ___| 3, 8, 8

_2 __ | 0, 5, 7, 8

_3 __ | 2

Step-by-step explanation:

Given the data:

2,7,13,18,18,20,25,27,28,32

Prepare an ordered stem plot:

STEM | LEAF

_0 __ | 2, 7

_1 ___| 3, 8, 8

_2 __ | 0, 5, 7, 8

_3 __ | 2

KEY:

20 = 2 | 0

HELP ME!!!

For which equation would x = 4 be a solution?


2 x + 7 = 22

2 x + 8 = 4

8 - 3 x = 20

6 x ÷ 8 = 3

Answers

Answer:

Hi.. Your answer is last...

6x/8=3

Answer:

6 x ÷ 8 = 3

Step-by-step explanation:

I got it correct on the lesson and I got a 100% on it as well

Help plz (I GIVE VIRTUAL COOKIES)

Answers

Answer: 45 90 135 215 315

                1   2     3    5      7

Step-by-step explanation: not sure about the last one.

HELP ME PLS BRAINLOEST AND POINTSS SKDKDLD

Answers

Answer:

No problem

Step-by-step explanation:

A triangle has angle measurements of 59°, 52°, and 69°. What kind of triangle is it?

Answers

Answer:

Acute Triangle

Step-by-step explanation:

since all of the angles are below 90° the triangle is acute

Answer:

[tex]\huge\boxed{\sf Scalene \ Triangle}[/tex]

Step-by-step explanation:

The angles measurements are 59°, 52° and 69°. The triangle which have all of its angles and sides unequal is called a scalene triangle.

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Sheldon also picks tomatoes from his garden. He picked 4 4/10 but 1.5 were rotten and had to be thrown away. How many kilograms of tomatoes were not rotten? Write an equation that shows how you reached your answer.

Answers

Given:

Number of tomatoes Sheldon picks = [tex]4\dfrac{4}{10}[/tex] kg

Rotten tomatoes = 1.5 kg

To find:

How many kilograms of tomatoes were not rotten?

Solution:

Number of tomatoes Sheldon picks = [tex]4\dfrac{4}{10}[/tex] kg

                                                            = [tex]\dfrac{4(10)+4}{10}[/tex] kg

                                                            = [tex]\dfrac{40+4}{10}[/tex] kg

                                                            = [tex]\dfrac{44}{10}[/tex] kg

                                                            = [tex]4.4[/tex] kg

Rotten tomatoes = 1.5 kg

Remaining tomatoes which are not rotten is

Required tomatoes = Tomatoes Sheldon picks - Rotten tomatoes

                                = [tex]4.4-1.5[/tex]

                                = [tex]2.9[/tex] kg

Therefore, the tomatoes which were not rotten is 2.9 kg.

Work out the surface area of this cylinder.
8 cm
16.8 cm

please give me the working out aswell not just a number

Answers

Step-by-step explanation:

First, you'd get the area of the circle, then multiply it by two (there's two ends to a cylinder)

so (pi)(R^2)

If 8 is the diameter, then 4 is the radius (r=1/2d)

3.14{pi}*16{4 squared}+=50.27

(50.27*2)= 100.54

Now, we need to find the area of the side of the cylinder. We have the given height of 16.8, and now we need to find the length. In order to do that, we must find the perimeter/diameter of the circle with the formula of Pi*Diameter.

if the diameter of the circle is 8, then 3.14*8=25.12.

25.12*16.8=422.016

now we need to add the area of the circles to get total surface area.

100.54+422.016= 522.556cm^2

I hope this helps!

The surface area of the given cylinder is 522.496 cm².

What is Cylinder?

A cylinder is a three dimensional figure which is formed by two parallel circular bases joined by a curved surface.

Center of the two bases is joined by a line called the axis of the cylinder.

Total surface area of cylinder can be found by the total of area of circular bases and the area of curved surface.

Total surface area = Area of Circular bases + Area of curved surface

                               = 2π r² + 2π r h

where r is the radius of the circular base and h is the height of the cylinder. π is the pi constant with value 3.14

Here, r = 8/2 = 4 cm and h = 16.8 cm

Total surface area = 2πr (r + h)

                               = 2π × 4 (4 + 16.8)

                               = 8π × 20.8

                               = 166.4π

                               = 166.4 × 3.14

                               = 522.496

Hence the surface area of the cylinder is 522.496 cm².

To learn more about Cylinder, click on the link :

https://brainly.com/question/27853279

#SPJ2

Subtract the fractions
14/28 - 10/28 =

Answers

your answer will be

1

---

7

Solution with Steps

14/28−10/28=?

The two fractions have like denominators so you can subtract the numerators.

14/28−10/28=?

The two fractions have like denominators so you can subtract the numerators.

Then:

14−10         4

--------- = ------

28             8    

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 4 and 28 using

GCF(4,28) = 4

4÷4          1

--------  = -----

28÷4        7

Therefore:

14/28−10/28=17

Answer:

1/7

Step-by-step explanation:

i used a canculator ._.

What's the 25th term of 23,16,9,2

Answers

Answer:  –145 is the 25th term in this series where each term is 7 less than the preceding term.

Step-by-step explanation:  Find the difference between the numbers given.

They are decreasing by 7.

The requested term is 25. Subtract -1 . = 24  (n-1)

Multiply 24 × -7 = -168

Add that to to first term

23 + (-168) = the 25th term

–145 is the 25th term in this series where each term is 7 less than the preceding term.

please help, im not too fond on like terms.

Answers

D is the right answer

Get the quotient of each item up to the nearest ten thousandths place.
Then, round the decimals to their nearest thousandths. Number 1 is done for you.
1.45 + 8 = 5.6250 5.625
2.77 + 9 =
3.81 7 =
4.93=9 =
5. 88 7=
6.55 + 8 =​

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

This calculator problem can be handled easily by a spreadsheet, which can round to whatever number of digits you desire.

The point is probably to see if you understand that the thousandths place digit will increase by 1 if the ten-thousandths place digit is 5 or more. (That is the case only for problem 2.)

__

Additional comment

When doing this with something that only displays 4 decimal digits, you need to be sure that the 4th digit has not been rounded up to 5. For example, ...

  0.00149  rounds to  0.0015  and rounds to  0.001  (not 0.002)

Usually, you would give yourself this assurance by showing the hundred-thousandths place in the calculation if you're intending to round to thousandths.

Please help asap!!!

Answers

It is c because i got it right

Amata says that 12.00 is not an interger because it has a decimal point.Is amata correct? Explain.​

Answers

Answer:

she aint correct

Step-by-step explanation:

12.00 = 12 so yea

The number 12 is an integer number because after the decimal number will be zero. So, Amata is incorrect.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

A number is the number zero, a positive regular number, or a negative number with a less sign. The negative numbers are the added substance inverses of the related positive numbers.

The number 12 is an integer number because after the decimal number will be zero. So, Amata is incorrect.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

b) Sanjeev draws a triangle with its sides as 6cm, 8cm and 10cm. Is the
triangle drawn by Sanjeev a right angled triangle? Why?​

Answers

Answer:

Step-by-step explanation:

Use Pythagorean's theorem. If the sides satisfies Pythagorean theorem, then, they form a right angled triangle.

The longest side is hypotenuse.

Hypotenuse² = base² + altitude²

10²  = 6² +8²

100 = 36 + 64

100 = 100

So, 6cm, 8cm, 10 cm makes an right angles triangle.

explain in words how do you divide a fraction by a whole number

Answers

Answer:

Step-by-step explanation:

whole number over one

flip the whole number under one

multiply that times the fraction

simplify answer if neccesary

ex:

1/2 / 3

1/2  / 3/1

1/2  /  1/3

1/2 x 1/= 1/6

Answer 3.3 I really need help

Answers

Answer:

Step-by-step explanation:

Given polynomial is → 6x³- 9x² + 12x - 15

3.3.1) Polynomial is divided by 3x,

        3x) 6x³ - 9x² + 12x - 15 (2x²- 3x + 4

              6x³

                0 - 9x²

                  - 9x²

                       0 + 12x

                          + 12x

                               0 - 15

         Quotient of the polynomial = (2x² - 3x + 4)

         Remainder = -15

3.3.2) Quotient is separated by the plus, minus signs.

          Variable does not contain exponents as fraction or negative number.

          There are no special features like log, radicals or trigonometric functions.

         Therefore, quotient is a polynomial.

What is the least common denominator of 4 and 10

Answers

Answer:

20

Step-by-step explanation:

Brandy's Candies sells 250 types of candy, and 30% of them are lollipops. How many types of candy are lollipops?

Answers

Answer:

75

Step-by-step explanation:

When you have 100% of something, it's all of that one thing, right? So if you were to turn 100% into a decimal, it would be 1. This means you can divide any percentage by 100 to turn it into a decimal. So, 30%=.3. When you multiply something by 2, you get two of that thing, right? And just the same, when you multiply something by half, you get half of that thing. This means you can multiply 250 by .3 to get .3 of it, or, 30%.

250*.3=75

24 = 12а - 24 hurrrrryyyyy pleaseeee

Answers

A=4 4 times 12 is 48 minus 24 is 24

simplify 5^6 5^2
O A. 54
B. 254
C. 53
D. 54

Answers

Answer:

D

Step-by-step explanation:

Answer:

D. 54 That's the right answersl

An expression is shown:

7350 ÷ 35

What is the value of the expression?
A.
2.1
B.
21
C.
210
D.
2100

Answers

Answer:

210 so C.

Step-by-step explanation:

Hope this helps :)

Answer:

C

Step-by-step explanation:

7350 divided by 35 is equal to 210.

Simplify √(1-cos)(1+cos)/cos^2

Answers

Answer:

Step-by-step explanation:

there u go!!

Find the sum of (8a + 2b - 4 ) and ( 3b - 5 )
please help !!!

Answers

Answer:

The answer is: 8a + 5b - 9

If one gallon of ice cream costs $3.25, how much does three gallons cost?

Answers

Answer:

9.75

Step-by-step explanation:

3..25 x 3 =9.75

At the end of its first year of operations, Berganstein Sportswear had current
assets of $13,000, fixed assets of $25,000, current liabilities of $7,000, and long-term liabilities of $14,000. What is the amount of owner's equity?

Whoever answer this, thank you!

Answers

Answer:

Step-by-step explanation:

it will be 59,000 because i add it all up

PLZ NEED HELP IMMEDIATELY A jacket usually sells for $61.00. If the jacket is 40% off, and sales tax is 8%, what is the total price of the jacket, including tax?

Answers

Answer:

39.53

Step-by-step explanation:

Multiply 61 by .4. The answer is 24.4. Subtract 24.4 from 61. This is the sale price after the discount but before the sales tax. The answer to that is 36.6. Multiply 36.6 by .08, the answer is 2.928. Round to the nearest hundreths. Add this to 36.6. You're final answer is 39.53.

please help, x-6≤3 solve for x

Answers

Answer:

x ≤ 9

Step-by-step explanation:

Please help me!!!!! I need help

Answers

Answer: Cube root of 27(top right)

Step-by-step explanation:

take the cube root of each side, to get x by itself and the other side ends of the cube root of 27

x^3 = 27

x = 3√27

= 3

hope this helsp and please mark me as brailnliest

Find the equation of the straight line passing through the point (0,1) which is perpendicular to the line y= -2x + 2

Answers

Answer:

y = 1/2x + 1

In order to evaluate a slope that is perpendicular to the given equation, you need to find the opposite reciprocal of the original slope. This means you take the original slope, flip the numerator and the denominator, and change the sign in front.

-2 ⇒ 1/2

Next, we need to substitute the information given into the point-slope formula.

The point-slope formula is:

y - y₁ = m(x - x₁)

y - 1 = 1/2(x - 0)

y - 1 = 1/2x

y = 1/2x + 1

Therefore, the line perpendicular to y = -2x + 2 is y = 1/2x + 1.

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