the trapezium is down on a centimetre grid find the area of the trapezium​

The Trapezium Is Down On A Centimetre Grid Find The Area Of The Trapezium

Answers

Answer 1

Answer:

21 square cm

Step-by-step explanation:

[tex] b_1 = 9 \:cm, \: b_2 = 5 \:cm, \: h = 3\: cm\\

Area\: of\: trapezium\\

= \frac{1}{2} (b_1 +b_2)\times h\\\\

= \frac{1}{2} (9 +5)\times 3\\\\

= \frac{1}{2} \times 14 \times 3\\\\

= 7 \times 3\\\\

= 21 \: cm^2 [/tex]


Related Questions

RELATED QUESTION..........

Answers

BCGF is a quadrilateral, angles sum to 360 degrees.

B+C+G+F=360

B and G are right angles, formed by a radius and a tangent.  

90+C+90+F=360

C+F=180

C and F are supplementary.

2x + 146 + 4x + 238 = 180

6x + 384 = 180

6x = -204

x = -34

Answer: -34, second choice

A whole theater has the capacity to hold 1,000 people. On the opening night, the theater was 95% full. What part of the theater was filled on opening night?

Answers

Answer:

950 People

Step-by-step explanation:

If you have 95% of 100 then it is 95, correct? So, if you have 95% of 1000, the it must be 950.

Just saying, it might be wrong but try it anyways... if it isnt right then im sorry.

Only do question 5

50 points

Topic: Percentage

Answers

Answer:

.2%

.6%

40.25%

Step-by-step explanation:

There are 100 blocks in a grid so a complete grid is 100 %

a 2/10 out of 1 block is shaded

2/10  out of 100

.2 out of 100

out of 100 means percent

.2 %

b 3/5 out of 1 block is shaded

6/10 out of 100

.6 out of 100

out of 100 means percent

.6%

c 40 /100 + 1/4  out of 1 block

40% + .25 %

40.25%

How would you solve dy/dx = 4x - 2, y(-1) = 1 using differential equations?

Answers

Answer:

y=2(x square)-2x-3

Step-by-step explanation:

Let dy with y varibles in a hand

And dx with x variables on the other hand

dy=(4x-2)dx

Then by integration

y=2(square x)-2x+constant

Then substitute by x=-1 and y=1 to find the value of the constant

1=2(1)-2(-1)+ constant

Then constant=-3

Then the equation is

y=2(x square)-2x-3

A quadrilateral with 90 degree angles is shown. The lengths of the left and right sides are 10 and 2 y + 4. The lengths of the top and bottom sides are 18 and 10 + 2 x. What is the value of x? 3 4 6 8

Answers

Answer:

4

Step-by-step explanation:

i just answered it.

The value of the variable x will be 4. Then the correct option is B.

What is a quadrilateral?

It is a polygon with four sides. The total interior angle is 360 degrees.

A quadrilateral with 90 degree angles.

If all the angles are right angle, then the quadrilateral should be either rectangle or square.

The lengths of the left and right sides are 10 and 2y + 4.

The lengths of the top and bottom sides are 18 and 10 + 2x.

If the adjacent side of the rectangle are same, then the rectangle will become square.

So, the quadrilateral is a rectangle.

Opposite sides of the rectangle are congruent.

Then the value of the variable x will be

10 + 2x = 18

       2x = 18 – 10

       2x = 8

         x = 8 / 2

         x = 4

The value of the variable x will be 4.

Then the correct option is B.

More about the quadrilateral link is given below.

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What is an equation of the line that passes through the point (−2,−3) and is parallel to the line 4x-y=1?

Answers

Answer:

y= 4x +5

Step-by-step explanation:

Let's rewrite the equation so that it is in the form of y=mx+c, where m is the gradient and c is the y-intercept.

4x-y=1

y= 4x -1

parallel lines have the same gradients. Thus the gradient of the line is 4.

y=4x+c

To find c, substitute a pair of coordinate.

When x=-2, y= -3,

-3= 4(-2) +c

-3= -8 +c

c= 8 -3

c= 5

Thus, the equation of the line is y= 4x +5.

Which is true about the product of 3/8 and 7/2. 1.The product is less than 3/8. 2.The product is greater than 1/8 and less that 1/2. 3.The product is greater than 7/2. 4.The product is greater that 3/8 and less than 7/2.

Answers

Answer:

4.The product is greater that 3/8 and less than 7/2.

Step-by-step explanation:

The product of 3/8 and 7/2 is:

[tex]\frac{3}{8} * \frac{7}{2} \\\\= \frac{21}{16} = 1\frac{5}{16}[/tex]

This number is greater than 3/8.

It is greater than 1/8 but not less than 1/2.

This number is less than 7/2.

This number is greater than 3/8 and it is less than 7/2.

Hence, the correct options is 4.

Which inequality statement describes the two numbers on a number line?
*6 and a number 10 units to the left of 6"
A)
10 > 6
B)
10 < 6
C)
-4> 6
D)​

Answers

Answer:

-4 > 6

Step-by-step explanation:

So it would be -4 > 6 because you have 6 on the right, and 6 - 10 is -4, which is on the left.

Emilio worked for 19.5 hours. He earned $497.25.
How much did Emilio earn per hour?
A: 26.16
B: $25.50
C: $20.88
B: $20.37

Answers

Answer:

B

Step-by-step explanation:

497.25/19.5=25.50

Answer:

B. $25.50

Step-by-step explanation:

if Emilio worked for 19.5 hours to earn $497.25 then how much wldid he earn perhour? ylwhen you put this in equation form

19.5h=$497.25

1h=? (so you crisscross them)

so 1h×$497.25÷19.5h (hour is divided by itself=1)

so Emilio earned $25.50 per hour.

what are the domain and range of f(x)=log x-5

Answers

Answer:

Is this what you needed?

Find the 82nd term of the arithmetic sequence
-8, 9, 26, ...

Answers

The 82nd term would be 1,369.
First we need to find an equation to represent this sequence, which we can do by finding the common difference between terms and then comparing those multiples to the sequence.
To find the common difference we simply need to do 9 - -8 = 17, and this is the same as 26 - 9 = 17, so we know that it will be the same for the whole sequence.
Then we can write multiples of 17 above the original sequence and find the difference:
17, 34, 51
-8, 9, 26
The difference between 17 and -8 is -25, so our final equation becomes:
17n - 25
Then we just substitute in 82 as n because we’re looking for the 82nd term and we get 17(82) - 25 = 1394 - 25 = 1369
I hope this helps!

Find the zeros of the function h(x)=x^2+23x+60 by factoring.

Answers

Answer:

x = - 20, x = - 3

Step-by-step explanation:

To find the zeros, let h(x) = 0, that is

x² + 23x + 60 = 0

Consider the factors of the constant term (+ 60) which sum to give the coefficient of the x- term (+ 23)

The factors are + 20 and + 3, since

20 × 3 = 60 and 20 + 3 = 23, thus

(x + 20)(x + 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 20 = 0 ⇒ x = - 20

x + 3 = 0 ⇒ x = - 3

Please help with this question

Answers

In a symmetric histogram, you have the same number of points to the left and to the right of the median. An example of this is the distribution {1,2,3,4,5}. We have 3 as the median and there are two items below the median (1,2) and two items above the median (4,5).

If we place another number into this distribution, say the number 5, then we have {1,2,3,4,5,5} and we no longer have symmetry. We can fix this by adding in 1 to get {1,1,2,3,4,5,5} and now we have symmetry again. Think of it like having a weight scale. If you add a coin on one side, then you have to add the same weight to the other side to keep balance.

A country's population in 1991 was 26 million.
In 1999 it was 28 million. Estimate
the population in 2006 using the exponential
growth formula. Round your answer to the
nearest million.
P = Aekt

Answers

Answer:

30 million

Step-by-step explanation:

i just spared my question to get the answer. it is 30 million. have a good day.

The estimated population in 2006 was 33 million.

What is the exponential function?

Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round.

The exponential growth formula is:

Pn = Po × (1 + r)ⁿ⁻¹

Where:

Pn = the population at time n

Po = the population at time 0

r = the rate of growth

n = the number of years after time 0

In this case, Po = 26 million, n = 15 (2006 - 1991 = 15 years), and r can be calculated as follows:

Pn = 28 million

Po = 26 million

n = 15

r = (Pn - Po) / (Po × n)

r = (28 - 26) / (26 × 15)

r = 0.0077

Therefore, the population in 2006 can be calculated as follows:

P2006 = 26 × (1 + 0.0077)¹⁵

P2006 = 33.02 million

Therefore, the estimated population in 2006 was 33 million.

Learn more about the exponential function here:

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What is the volume of the rectangular prism? 21 mm3 76.5 mm3 80 mm3 267.75 mm3

Answers

Please consider the complete question.

A prism has a length of 9 millimeters, height of 3 and one-half millimeters, and width of 8 and one-half millimeters. What is the volume of the rectangular prism?

We know that volume of rectangular prism is product of its length, width and height.

[tex]V=\text{Length}\times\text{Width}\times \text{Height}[/tex]

[tex]V=9\text{ mm}\times8\frac{1}{2}\text{ mm}\times 3\frac{1}{2}\text{ mm}[/tex]

Let us convert our given mixed fraction into decimal.

[tex]V=9\text{ mm}\times8.5\text{ mm}\times 3.5\text{ mm}[/tex]

[tex]V=267.75\text{ mm}^3[/tex]

Therefore, the volume of the given prism would be [tex]267.75\text{ mm}^3[/tex] and option D is the correct choice.

Answer:

D

Step-by-step explanation:

Jorge is making 6 large salads and 4 small salads how many cherry tomatoes does he need.

Answers

More information please

Find f(–2) for the function f(x) = 3x2 – 2x + 7

Answers

Answer: The Answer Is 23

Step-by-step explanation:

Answer:

the answer is 23,

Step-by-step explanation:

i took the test and got it right!!!

Which equation represents the sum of eight times a number and seven is twice the number

Answers

Answer:

8n + 7 = 2n

Step-by-step explanation:

A cone is of radius 6 cm and its height is 10 cm . The volume of the cone is __________ π cm3


please help
20 pointss

Answers

Answer:

376.99 cm

Step-by-step explanation:

V=πr2h^3

The ladder of a slide forms a 67 degree angle with the ground. The distance from the top of the ladder to the bottom of the ladder is 10 feet. The slide is 15 feet long. What angle does the slide make with the ground?

A. 71.9

B.47.9

C.37.9

D.23.0

Answers

Answer:

71.9 i think

Step-by-step explanation:

71.9 I think is the answer

Find the solution to this system:
Equation 1: 5x – 2y = -11 (2)
Equation 2: -2x + 5y = 17
Step #2
Multiplying Equation 2 by will create additive
inverses for the x-coefficients.

Answers

Answer:

Step 1: Equation 1 can be multiplied by 2, Multiplying Equation 2 by 5

Step 2: divide by 21

Step 3: substitute 3 for y in one of the equations

Step 4: add 6

Step 5: divide both sides of the equation by 5

Step-by-step explanation:

The solution for the given set of equation 5x - 2y = -11  and -2x + 5y = 17 is  x = -1 and y = 3.

What is an equation?

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The given set of equation is,

5x - 2y = -11       (1)

-2x + 5y = 17      (2)

Find the value of x from equation (2),

-2x + 5y = 17

2x = 5y - 17

x = (5/2)y -17/2

Substitute the value of x in equation (1),

5((5/2)y -17/2) - 2y = -11

25y/2 - 85/2 - 2y = -11

21y/2 = 63/2

y = 3

Substitute the value of y in equation (2) to get the value of x,

-2x + 15 = 17

x = -1

The value of x is -1 and y is 3.

The additive inverse for the x coefficient in equation (2) is 2x.

To know more about Equation on:

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An octopus weighed 5 6 kilograms. After two weeks, its weight was increased by 3 10 kilograms. But afterward, it lost 1 5 kilograms in weight as it was sick. What is its current weight?

Answers

Answer:

The current weight of the octopus is:

[tex]w = \frac{14}{15}\,kg[/tex]

Step-by-step explanation:

The current weight is determine by addition and subtraction of rational numbers:

[tex]w = \frac{5}{6}\,kg + \frac{3}{10}\,kg -\frac{1}{5}\,kg[/tex]

[tex]w = \frac{50 + 18}{60}\,kg - \frac{1}{5}\,kg[/tex]

[tex]w = \frac{68}{60}\,kg - \frac{1}{5} \,kg[/tex]

[tex]w = \frac{17}{15}\,kg - \frac{1}{5}\,kg[/tex]

[tex]w = \frac{85-15}{75} \,kg[/tex]

[tex]w = \frac{70}{75}\,kg[/tex]

The current weight of the octopus is:

[tex]w = \frac{14}{15}\,kg[/tex]

12 is 3/4 of what number

Answers

Answer:

Step by step: you need to divide the top and multiple by the bottom. 12 divided by 3 is 4, and 4 times 4 is 16

Answer:

16

Step-by-step explanation:

The formula to solve for this is [tex]\frac{is}{of}=\frac{percent}{100}[/tex]

Here the 12 is our "is", the "of" is the [tex]\frac{3}{4}[/tex] , and the "percent" is what we are solving for so we can replace it for "x"

So now replacing our values we have [tex]\frac{12}{\frac{3}{4} } =\frac{x}{100}[/tex]

Cross multiplying we get [tex](12)(100) = (x)(\frac{3}{4} )[/tex]

Which then simplifies to

Then multiplying both sides by 4 to get rid of the fraction we get 4800% = 3x

The we need to divide by 3 and we get 1600% = x

Now this is in a percentage, so we need to divide 1600 by 100 to turn it into a whole number which comes out to x = 16

PEMDAS is used to help us remember the "order of operations." What do we use to help us remember the right triangle trig formulas? Hint: It start with s and ends with a.

Answers

Answer:

SOH CAH TOA

(Sine,opposite,Hypotenuse) - SOH

(Cosine, adjacent, Hypotenuse) - CAH

(Tangent,opposite,adjacent) - TOA

Step-by-step explanation:

Answer:

SOH CAH TOA

is the answer

what is (18-7)+(5+7)

Answers

18-7 is 11 so 5+7 is 12 so 12+11=23

Hope it helps !

Answer:

its 23!

Step-by-step explanation:

18-7=11

5+7=12

11+12=23!

3(x + 2) + 4(2x - 1) = 5(x - 2)
may I ask how to do
????????​

Answers

Answer:

it's 2 I already took the quiz

Given that sinθ=3/5
, find cosθ
and tanθ
. Write your answers as fractions in simplest form.

Answers

Answer:

cos θ = 4/5.

tan θ = 3/4.

Step-by-step explanation:

Given sin θ = 3/5, we can find the value for the other side of the right triangle.

Using the Pythagorean formula, we can derive the value of this other leg.

5² = 3² + x²

x = 4.

Since sin θ is O/H, the Hypoteneus is 5 and the Opposite side is 3. The Adjacent side is 4, which will be used when finding cos θ and tan θ.

cos θ= A/H --> cos θ = 4/5.

tan θ= O/A --> tan θ = 3/4.

x more than the square root of 400 is 50.

Answers

Answer:

Step-by-step explanation:

x + sqrt(400) = 50

x + 20 = 50

x = 30

Use the Pythagorean theorem to find b .


Answers

Answer:

b = 5

Step-by-step explanation:

We can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

12^2 + b^2 = 13^2

144+b^2 =169

Subtract 144 from each side

144-144+b^2 = 169-144

b^2 = 25

Take the square root on each side

sqrt(b^2) = sqrt(25)

b = 5

Answer:

B= 5

Step-by-step explanation:

A locker combination consists of two non-zero digits, and each combination consists of different digits. Event A is defined as choosing an even number as the first digit, and event B is defined as choosing an even number as the second digit. If a combination is picked at random, with each possible locker combination being equally likely, what is P(A and B) expressed in simplest form? A. 1/6 B. 5/18 C. 1/2 D. 5/9

Answers

Answer:

B. 5/18

Step-by-step explanation:

We have to digits taking the 0, they are as follows:

1, 2, 3, 4, 5, 6, 7, 8, 9

In other words, there are 9 in total.

Odd are 5 (1, 3, 5, 7, 9)

Pairs are 4 (2, 4, 6, 8)

Now, we have that the probability of drawing an odd one would be: 5/9

and that also, already selected that number, there would be 8 in total.

Therefore, drawing another number that is even the probability would be: 4/8

So the final probability is:

(5/9) * (4/8) = 20/72, we simplify (divide by 4) and we have 5/18 left

In other words, the answer is B. 5/18

Answer:

b

Step-by-step explanation:

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