1.Find the area of a trapezium with parallel sides of
length 15 cm & 7 cm. The perpendicular distance
between the parallel sides is 6.8 cm.

Answers

Answer 1

Answer:

The area of the trapezium is [tex]74.8\ cm^2[/tex]

Step-by-step explanation:

Area of a trapezium:

[tex]\displaystyle A=\frac{b1+b2}{2}h[/tex]

This formula is valid if b1 and b2 are parallel and h is perpendicular to both.

Since the trapezium given in the problem satisfies those conditions, we use the formula with:

b1=15 cm

b2=7 cm

h=6.8 cm

[tex]\displaystyle A=\frac{15+7}{2}\cdot 6.8[/tex]

[tex]A=74.8\ cm^2[/tex]

The area of the trapezium is [tex]74.8\ cm^2[/tex]


Related Questions

Solve: negative 1 over 2 x + 1 = −x + 8 (5 points)

a
7

b
1 over 2

c
14

d
18

Answers

it is 14 because if you have -1/2x + 1 = -x + 8 you would combine the multiplied terms into a single fraction then subtract the one from both sides simplify till you get -x/2 = -x + 7 then you will add like terms so the x’s then you multiply all terms by two like 2(-x/2)= 2•7 then you can get 14.
(Sorry if you didn’t need the whole explanation)

Answer:

14

Step-by-step explanation:

Rebecca is on the swim team. If you can swing 24 labs in six minutes how long would it take her to swim 36 laps

Answers

Answer:

9

Step-by-step explanation:

if you think bout it 24/6 is 4 and 36/9 is 4

I’m so confused. I need help :C

Answers

Answer:

Apple A

Step-by-step explanation:

Apple A 6.90/6 = 1.15 lb

Apple B 12oz/ (16oz or 1lb) =3/4   .90/(3/4) =1.2lb

Apple C 0.45/(1/4)= 1.8lb

Which equation represents a line that is perpendicular to y=x?

A.

y=2x

B.

y=−x+6

C.

y=−2x

D.

y=x+1

Answers

Answer:

B

Step-by-step explanation:

The general equation of a straight line can be represented as;

y = mx + b

where m is slope

If two lines are perpendicular, the product of their slopes will be -1

So since the slope of the first line is 1, then the slope of the second line will be -1

Out of all the options, only have its slope as -1 and this y = -x + 6 and this is our answer

With a two-year agreement, Sarah can add up to 4 lines for $9.99 each. Her first monthly bill totals 89.96. Sarah did not exceed the "anytime minutes" limit and did not engage in "text messaging". How many lines did she add to her plan? Write an equation, and then solve.​

Answers

Answer:

The answer is 267.

Step-by-step explanation:

If we wanted to represent this scenario as an equation, it would be 22.40-14+.5x (x being the amount of texts after 250). We are using PEMDAS, but because the variable is unknown, we skip multiplication and just go left to right. 22.40 - 14 = 8.40. With 8.40, we now know how much it costed AFTER 250 messages (how much she owes after $14). If we want to find how many PER 50 cents, we have to DIVIDE (reverse of multiplication). 8.4 / .5 = 16.80. Because you can't send .8 of a text message, you round to get 17. 250 + 17 = 267 (messages sent that month).

Therefore the answer is 267 (250 + 17)

what is the smallest number you can make using 4 5 3 6

Answers

Answer:

3456

Step-by-step explanation:

place the following numbers in order from least to greatest



-8.2, 0.4, NEGATIVE 2 AND 1/2, and 2.4

Answers

Answer:

-8.2,-2 1/2, 0.4,2.4

Step-by-step explanation:

hope that helps


HELP 10 points !!!!!!!




Answers

Answer:

B

Step-by-step explanation:

Answer:

84 degrees

Step-by-step explanation:

(6x - 30) + 96 = 180

6x 66= 180

6x= 114

x=19

6(19) - 30 = 114 - 30 = 84

(6x - 30) = 84 degrees

Hope this helps!

5. Multiply: -1/5(5/8)

Answers

Answer:

- [tex]\frac{1}{8}[/tex]

Step-by-step explanation:

Given

- [tex]\frac{1}{5}[/tex] × [tex]\frac{5}{8}[/tex] ( cancel the 5 on numerator/ denominator )

= - 1 × [tex]\frac{1}{8}[/tex]

= - [tex]\frac{1}{8}[/tex]

y=x
y= 11x-10

simultaneous equation​

Answers

Answer:

y = 1

x = 1

Step-by-step explanation:

If y = x

Replace x with y

y = 11y - 10

y - 11y = -10

-10y = -10

y = 1

Hope this helps!

Have a nice day!

If you find my answer helpful

Pls consider marking my answer as Brainliest! It would mean a lot!

Please help! what is an equation of a parabola with x-intercepts at (2,0) and (-7,0) and which passes through the point (1,32)?​

Answers

Answer:

[tex]f(x)=-4(x-2)(x+7)[/tex]

Or, in standard form:

[tex]f(x)=-4x^2-20x+56[/tex]

Step-by-step explanation:

We can use the factored form of a quadratic equation:

[tex]f(x)=a(x-p)(x-q)[/tex]

Where a is the leading coefficient and p and q are the zeros of the quadratic.

We know that the x-intercepts are at (2, 0) and (-7, 0).

So, let's substitute 2 for p and -7 for q. This yields:

[tex]f(x)=a(x-2)(x+7)[/tex]

Now, we need to determine a.

We know that it passes through the point (1, 32). In other words, if we substitute 1 for x, we should get 32 for f(x). Therefore:

[tex]32=a(1-2)(1+7)[/tex]

We can now solve for a. First, compute:

[tex]32=a(-1)(8)[/tex]

Multiply:

[tex]32=-8a[/tex]

Divide both sides by -8:

[tex]a=-4[/tex]

So, the value of a is -4.

Therefore, our entire equation is:

[tex]f(x)=-4(x-2)(x+7)[/tex]

Notes:

We can expand this into standard form:

[tex]f(x)=-4(x-2)(x+7) \\ f(x)=-4(x^2+5x-14) \\ f(x)=-4x^2-20x+56[/tex]

I have to find the difference I need help tho

Answers

(10x^4 - 4x^3 - 7x^2 + 5x + 9) - (2x^4 - 5x^3 - 4x^2 + 9x + 3)
first, rearrange the terms :
(10x^4 - 2x^4 - 4x^3 + 5x^3 - 7x^2 + 4x^2 + 5x - 9x + 9 - 3)

keep in mind that only x-terms with the same power can have an effect on each other hence the difference will be :
8x^4 - x^3 - 3x^2 - 4x + 6

The diagram below shows the side view of a ramp used to help load and unload a moving van.
Ramp
3 ft
9 ft
Which measurement is closest to the length of the ramp in feet?
9.5 ft
13.5 ft
8.5 ft
10.5 ft

If u get it right I will mark Brainliest!!

Answers

Answer: 9.5

Step-by-step explanation: I got it right in my test :)

Answer:

9.5 ft would be the closest to the length of the ramp in feet.

Step-by-step explanation:

I had the exact same question on my test, I got it correct :)

Help please ASAP Thank you

Answers

Answer:

uh is  it 2 and o.6 i think

Step-by-step explanation:

please help i give brainliest to who ever gets it right!!!!!!

Answers

Answer:

D.

Step-by-step explanation:

Opposite numbers will be numbers with opposite signs

Option D shows -3 at one end and +3 at the other; their sum is 0

the answer is D mark the other dude brainlist

What are all the factors of 54?

Answers

Answer:

The factors are: 1,2,3,6,9,18,27,54.

Hope this helped!

Answer: the answer is D 1, 2, 3, 6, 9, 18, 27, 54. :)

A machine is used to stamp bottle caps. If 150 bottle caps can be stamped in 30 s, the rate is _______ caps per second.

Answers

Answer:

5 bottle caps each second

Step-by-step explanation:

To find the unit rate, just divide the total number by the total time.

150/30

5

So 5 bottle caps per second

Name a line containing point V.

Answers

Answer:

Line A

Step-by-step explanation:

AAnswer:

Step-by-step explanation:

Fill in the blank.

(45)×(512) = ___ / 5×12

Answers

Answer:

x=1382400

this should be right

Answer:

1382400

Step-by-step explanation:

Well, we can first find that 5x12 is 60 so if you substitute it, it would be:

45x512 = ___ / 60

We can also substitute ___ as x:

45x512 = x/60

45x512 is 23040 so, 23040 = x/60.

Bring sixty to the other side and multiply

x= 23040 x 60 = 1382400

Help me with my ixl please, I don’t get this

Answers

Answer:

sas

Step-by-step explanation:

What is the equation of the line that passes through the points (3,8) and (6,2)?

Answers

Answer:

y = −2x+14

plot the points on a graph, and find the slope :)

Abhasra and her best friend found some money in an envelope. They split the money evenly, each getting $5.03. How much money did they find?

Answers

Answer:

$10.06

Step-by-step explanation:

Since there are 2 people, multiply the amount they each get by 2.

5.03 times 2=10.06

Final answer  10.06

Hope this helps:)

diffrentiate between save and save as​

Answers

Step-by-step explanation:

The main difference between Save and Save As is that Save helps to update the lastly preserved file with the latest content while Save As helps to store a new file or to store an existing file to a new location with the same name or a different name.mark me brainlist if i help

Answer:

difference between save and save as is that save helps to update lastly preserved file with least content while save as to store a new file or to store an existing file to a new location with the same name or different name.

The weight y of an object on Mars is proportional to the weight x of the object on Earth. An object that weighs 70 pounds on Earth would weigh 28 pounds on Mars. Write an equation that represents the situation. Then determine how much a boulder that weighs 250 pounds on Mars would weigh on Earth.

An equation that represents the situation is y=

A rock that weighs 250 pounds on Mars would weigh _ pounds on Earth.

Answers

Answer:

625 pounds

Step-by-step explanation:

Given:

Weight on Earth = 70 poundsWeight on Mars = 28 pounds

As per given the proportion is:

y/x = 28/70 ⇔ y/x = 2/5

A rock that weights 250 pounds on Mars would weigh on Earth:

250/x = 2/5x = 250*5/2x = 625 pounds

answer this question

Answers

Answer:

a = p * q

b = p * s + q * r

c = r * s

Step-by-step explanation:

In the trinomial ax² + bx + c

a is the coefficient of x²

b is the coefficient of x

c is the numerical term

∵ The trinomial is ax² + bx + c

∵ Its factors are (px + r) and (qx + s)

ax² + bx + c = (px + r)(qx + s)

∵ (px + r)(qx + s) = (px)(qx) + (px)(s) + r(qx) + (r)(s)

∴ (px + r)(qx + s) = pqx² + (psx + qrx) + rs

ax² + bx + c = pqx² + (ps + qr)x + rs

→ By comparing the two sides

∵ ax² = pqx² ⇒ divide both sides by x²

a = pq

∵ bx = (ps + qr)x ⇒ Divide both sides by x

b = ps + qr

c = rs

a = p * q

b = p * s + q * r

c = r * s

Which of the following is the graph of the solution set of:
y< -3 or y<1

I NEED HELP ASAP!!

Answers

See the graph lines.. notice since it’s < you need to use a dash line.

In​ 2009, a poll found that ​47% of people favored the protection of the environment at the risk of limiting energy​ supplies, while 47​% favored the development of energy supplies even if that risked harming the environment. Another 4​% felt that energy and the environment were equally important. what's the probability a person had​ "No Opinion"? NEED HELP ASAP!

Answers

Answer:

It will be 84

Step-by-step explanation:

-6x+9-4x=14 The value for x

Answers

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[tex] - 6x + 9 - 4x = 14[/tex]

[tex] - 6x - 4x + 9 = 14[/tex]

Collect like terms

[tex]( - 6 - 4)x + 9 = 14[/tex]

[tex] - 10x + 9 = 14[/tex]

Subtract sides 9

[tex] - 10x + 9 - 9 = 14 - 9[/tex]

[tex] - 10x = 14 - 4 - 5[/tex]

[tex] - 10x = 10 - 5[/tex]

[tex] - 10x = 5[/tex]

Divide sides by - 10

[tex] \frac{ - 10x}{ - 10} = \frac{5}{ - 10} \\ [/tex]

[tex]x = - \frac{5}{10} \\ [/tex]

[tex]x = - \frac{5}{5 \times 2} \\ [/tex]

[tex]x = - \frac{1}{2} \\ [/tex]

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can someone please help .. will mark brainliest !

Answers

Answer:

B and B

Step-by-step explanation:

The first one is B because all of the slopes are negative except B. And so I think that's the correct answer

The second one I know is B for sure, I remember learning it in 8th grade 2 years ago.

It's really just the first one I am second guessing myself on but B and B make sense to me :)


Michelle plans on raising $80 for her softball team. To raise the money, she is selling team shirts for $10 each.
So far she has raised $20. To calculate how many more shirts she needs to sell, Michelle subtracts 20 from 80
and then divides by 10.
Which of the equations below can be solved using the same steps?
A. 10x + 20 = 80
B. 20x + 10 = 80
C. 80x - 20x = 10
D. 10x + 20x = 80

Answers

Given:

Michelle plans on raising $80.

Selling price of each shirt = $10

So far she has raised $20.

To find:

The number of more shirts she needs to sell.

Solution:

Let x be the number of more shirts she needs to sell.

Selling price of one shirt = $10

Selling price of x shirt = $10x

Total raising amount = $(10x + 20)

Michelle plans on raising $80. So,

[tex]10x+20=80[/tex]

Subtract both sides by 20.

[tex]10x=80-20[/tex]

[tex]10x=60[/tex]

Divide both sides by 10.

[tex]x=\dfrac{60}{10}[/tex]

[tex]x=6[/tex]

So, the required equation is [tex]10x+20=80[/tex]

Therefore, the correct option is A.

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