Mathematics High School

Work out the area of the trapezium.

Answers

Answer 1

Answer:

58.29 cm²

Step-by-step explanation:

The area (A) of a trapezium is calculated as

A = [tex]\frac{1}{2}[/tex] h (a + b) , substitute given values into formula

A = [tex]\frac{1}{2}[/tex] × 6.7 × (7 + 10.4)

= 3.35 × 17.4

= 58.29 cm²

Related Questions

PLEASE HELP !!! ASAPPPP Select the statement that describes this expression: 10 + fraction 1 over 4x (5 + 3) − 3.

O 10 more than fraction 1 over 4 of the sum of 5 and 3, then subtract 3 fraction.

O 1 over 4 of 10 times the sum of 5 and 3, minus 3

O 3 more than 3 plus 5 multiplied by fraction 1 over 4, then add 10

O 10 times fraction 1 over 4 plus 3 and 5, minus 3

Answers

Answer:

I think its the first one...

Step-by-step explanation:

Answer:

First one

Step-by-step explanation:

What is the image of (2, 1) after a dilation by a scale factor of 4 centered at the
origin?
HELP

Answers

Answer:

The image of the point is (8, 4)

Step-by-step explanation:

If the point (x, y) dilated by a scale factor k centered at the origin, then its image is (kx, ky)

Let us solve the question

∵ The point is (2, 1)

∴ x = 2 and y = 1

∵ The point dilated by a scale factor of 4 centered at the origin

∴ k = 4

→ By using the rule above multiply each coordinate of the point by 4

∵ The image of the point is (kx, ky)

∵ kx = 4 × 2

∴ kx = 8

∵ ky = 4 × 1

∴ ky = 4

∴ The image of the point is (8, 4)

2) divide 54kg in the ratio 1:5=

Answers

Answer:

9:45

Step-by-step explanation:

1:5= 6 parts

54/6=9

9*1=9

9*5=45

9:45

Answer:

9kg and 45kg

Step-by-step explanation:

In fraction from 1:5 is equivalent to 1/(1+5) = 1/6 and 5/(1+5) = 5/6.

So the answer is 54 * 1/6 and 54 * 5/6.

= 9 and 45.

Challenge The numbers of home runs a baseball player hits during spring training and during the regular season for four years are shown. Decide if the relationship between home runs hit in spring training and during the regular season is proportional. If the table represents a proportional relationship, find how many home runs are hit during the regular season if the player hit 3 during spring training

Answers

Answer:

Step-by-step explanation:

Key word: Most likely

First try to find the constant of proportionality

8/2= 4

4/4= 1

20/5=4

24/6=4

Since it says most likely we would say the constant of proportionality is 4.

Since they are asking for 3 homes runs we will do 3 times 4

[tex]3[/tex]×[tex]4=12[/tex]

The player will hit 12 home runs are hit during the regular season if the player hit 3 during spring training.

What is constant of proportionality?

The constant of proportionality is the ratio between two directly proportional quantities.

Two quantities are directly proportional when they increase and decrease at the same rate.

The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.

Finding the constant of proportionality :-

8/2= 4

4/16= 4

20/5=4

24/6=4

Since, the constant of proportionality is 4.

And, they are asking for 3 homes runs we will do 3 times 4

Therefore, 3 x 4 = 12

Hence, the player will hit 12 home runs are hit during the regular season if the player hit 3 during spring training.

Learn more about constant of proportionality click;

https://brainly.com/question/29153656

#SPJ2

A new bank customer with 3000$ wants to open a money market account. The bank is offering a simple interest rate of 1.7%

Answers

Answer:

interest = $5.1

Step-by-step explanation:

how do you write 9.7 x 10^3 in standard

Answers

9700 is the answer which is correct

if AB= 5 what is the exact length of BD in square ABCD

Answers

Answer:

sqrt 50

Step-by-step explanation:

First of all this is a square so if AB = 5, then AD is also 5.

Let's get rid of the other triangle and only focus on triangle ABD.

Using Pythagorean theorem we are able to solve this problem.

The Pythagorean Theorem basically states that:

a^2 + b^2 = c^2

Where a and b are the legs and c is the hypotenuse, aka the thing that we are trying to solve for right now.

Substitute these numbers in: 5^2 + 5+2 = c^2

Solve: 50 = c^2

c= sqrt 50

^ and that is our answer!

a company can buy packages of 500 sheets of paper for $4. At this rate, how much paper can bet bought for $2000

Answers

Answer:

2000/4×500=250000sheets

Step-by-step explanation:

What is the length of the leg on a right triangle with the other leg measuring 15 inches and the hypotenuse measuring 18 inches

Answers

[tex] \huge \cal \blue{ANSWER}[/tex]

In this triangle by applying Pythagoras theorem.

H²=B²+P²

18²=15²+P²

324=225+p²

324-225=P²

√99=p

9.94

Suzy has a collection of quarters and dimes. Together she has 34 coins worth $6.40. How many quarters and how many dimes does Suzy have?

Please show your work :)

Answers

Answer:

Quarters = 20

Dimes = 14

Step-by-step explanation:

Dime = x = 10 cent = $0.1

Quarter = y = 25 cent = $0.25

x + y = 34 - - - (1)

0.1x + 0.25y = 6.40 - - - - (2)

From (1)

x = 34 - y

0.1(34 - y) + 0.25y = 6.40

3.4 - 0.1y + 0.25y = 6.40

3.4 + 0.15y = 6.40

0.15y = 6.40 - 3.40

0.15y = 3

y = 3 / 0.15

y = 20

x = 34 - y

x = 34 - 20

x = 14

Quarters = 20

Dimes = 14

PLEASE HELP ME ASAP
The m

Answers

I could probably help you but what is the question?

PQR with P(3, 6), 2-6, 6), R(0, 9); (x, y) = (x-3, y + 7)
оа
Ob
P'(0, 13), O'(-9, 13), R'(-3, 16)
P'(10,3), Q'(1,3), R' (7, 6)
P'(3, 7), e'(-6, 7), R' (0,7)
P'(-3, 13), e' (3, 13), R'(-3, 16)

Answers

Answer:

We have the answer as:

P'(0, 13), O'(-9, 13), R'(-3, 16)

Step-by-step explanation:

Here, we want to find the coordinates of the image after applying the transformation rule to the pre-image

what the transformation rule is saying is that we subtract 3 from the x-coordinate and add 7 to the y-coordinate

mathematically, we have these as follows;

136/2=68

What does 5/12 - 1/3 equal?

Answer: 0

Step-by-step explanation: it’s undefined

Answer:

y2-y1 over x2-x1

Step-by-step explanation:

so pick one and make it 1 and pick the other and make it 2 and fill in for x and y.

Before getting to school, Jason has a few errands to run. Jason has to walk 10 blocks to the theater, and 12 blocks to the gallery, before walking the final 6 blocks to arrive at school. If Jason has already walked 7 blocks, how many more blocks must he walk before arriving at school?

Answers

Answer:

Step-by-step explanation:

Picture attached below

Answers

Answer:

it's answer is B. 4/5

Step-by-step explanation:

perpendicular (p) = 8

hypotenuse (h) = 10

sin < A

= p/h

= 8/ 10

= 4/ 5

Hope it will help :)

Help, I need help plz. Like NOW!!

Answers

Answer:

2nd one

Step-by-step explanation:

Answer:

the second answer

Step-by-step explanation:

( multiply and divide left to right , add and subtract left to right)

I WILL GIVE YOU BRAINLY PLSS

Which of the following is in the solution set (would appear in the shaded region of
the graph) for the inequality + 7 > 9?
A. 6
B. -6
C. -4
D. 2

SHOW YOUR WORK PLSS

Answers

Answer:

the answer Is D.2

Step-by-step explanation:

9 is greater than 7 by 2

So I took that in a test and I think the answer would be A

in the computer lab, there are 1 PC every 5 Mac computers. if the computer lab has a total of 24 computers, how many are Mac?

Answers

Answer:

20 of the computers are Mac

Step-by-step explanation:

if 1 pc = 5 Mac

4 pc = 20 mac

add 4 + 20 you get 24 which is the total number of computers

need some help on my math
please help i need A grade

Answers

Answer:

2and 9/10

Step-by-step explanation:

3 1/5- 3/5= 2 9/10

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