what is the area of the trapezium?

What Is The Area Of The Trapezium?

Answers

Answer 1

Answer:

156 cm²

Explanation:

This figure is a trapezium.

Formula of Area of Trapezium = 1/2 × (a + b)  × height

Here given:

a = 9 cmb = 30 cmh = 8 cm

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

Area of trapezium: 1/2  × (9 + 30)  × 8 = 156 cm²

Answer 2

Answer:

area of the trapezium is 156

Step-by-step explanation:

What Is The Area Of The Trapezium?

Related Questions

I NEED HELP !!! Right now!!!

Answers

Answer:

Step-by-step explanation:

Which of the following is equivalent to

Answers

Answer:

The first one

Step-by-step explanation:

[tex]n^{2} - 6n + 9 = (n-3)^{2}\\\\[/tex]

The expression removes the first 9 terms of the summation so the summation goes from 10 to 19

Mike mixes paint at a hardware store. A certain shade of orange paint is made by
mixing white, red, and yellow paint in a ratio of 4 to 3 to 2. If Mike wants to make 3
gallons of paint that is this shade of orange, how many gallons of red paint will he
need?

Answers

Answer: 1 gallon

Step-by-step explanation:

white: red: yellow

4 : 3 : 2

total units: 9 units

total amount: 3 gallons

one unit: 3/9

             = 1/3

no of units of red: 3 units

amount of paint needed: 1/3 x 3

                                        = 1 gallon

The population of a small town was 3,150 last year. After a new factory opened close by, the population increased by 8%. What
is the new population of the town?

Answers

3,402

8% of 3150 is 252, 3150 + 252 = 3402.

State the value of 'x' in this equation, and explain why you know this to be true without doing any calculations. 5X=59

Answers

The value of x in the equation is 59/5

How to solve for x?

The equation is given as:

5x = 59

Divide both sides by 5

x = 59/5

This means that the value of x in the equation is 59/5

To know if the value is accurate, we simply multiply 5 by 59/5 and we get 59 as in 5x = 59

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5|2x+6|=26...can someone answer this please

Answers

Answer:

x = -2/5 or x = -28/5

Step-by-step explanation:

Let's solve your equation step-by-step.

5(|2x+6|)=26

Step 1: Divide both sides by 5.

5(|2x+6|)/5 = 26/5

|2x+6|=26/5

Step 2: Solve Absolute Value.

|2x+6|=26/5

We know either2x+6= 26/5 r2x+6=−26/5

2x + 6 = 26/5(Possibility 1)

2x+6−6= 26/5 - 6 (Subtract 6 from both sides)

2x = -4/5

2x/2 = -4/5/2 (Divide both sides by 2)

x = -2/5

2x + 6=-26/5 (Possibility 2)

2x+6= -26/5 (Simplify both sides of the equation)

2x + 6 - 6 = -26/5  - 6 (Subtract 6 from both sides)

2x = -56/5

2x/2 = -56/5/2(Divide both sides by 2)
x = -28/5

Answer:

x = -2/5 or x = -28/5

What is the midpoint of the segment (-6.-9)(16.5)

Answers

Answer:

M=(11,−2)

Step-by-step explanation:

Find the midpoint for [tex]P = \left(6, -9\right)P=(6,-9) \text{and} Q = \left(16, 5\right)Q=(16,5).[/tex]

The midpoint for two points P and Q is a point M whose coordinates is the half-sum of the corresponding coordinates of the two points.

Thus, [tex]M = \left(\frac{6 + 16}{2}, \frac{-9 + 5}{2}\right) = \left(11, -2\right)[/tex]

M=(11,−2)

Rosa has $12.29 and spends $4.85. To the nearest dollar, about how much does she have left?
A $3
B $5
C $7
D $9

Answers

Answer would be c
$12.29-$4.85=$7.44
Your only being asked for the nearest dollar, so it would only be an estimate of 7

The depreciation method that does not initially use the residual value in depreciation calculations is the.

Answers

An asset loses value over time as a result of use, damage, or obsolescence.

What is depreciation?

An asset loses value over time as a result of use, damage, or obsolescence. Depreciation is the measurement for this decline.

The depreciation method that does not initially use the residual value in depreciation calculations is the depreciating balance.

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In your notebook, set up the following subtraction in a vertical format and select the correct answer.

Find 2p 2 + 3p - 4 less - 2p 2 - 3p + 4.
1. 4p2 + 6p + 8
2. 4p2 - 6p - 8
3. 4p2 + 6p - 8
4. 0

Answers

The answer is 4p² + 6p - 8 which is subtraction of one equation from the other in vertical format.

What is polynomial?

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

We have two polynomial:

2p² + 3p - 4 and  -2p² - 3p + 4

Subtraction in a vertical format:

       2p² + 3p - 4

-      -2p² - 3p + 4

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

Changin sign of the expression -2p² - 3p + 4:

 

       2p² + 3p - 4

+      2p² + 3p - 4

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

Now adding like terms.

 

       2p² + 3p - 4

+      2p² + 3p - 4

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

       4p² + 6p - 8

Thus, the answer is 4p² + 6p - 8 which is the subtraction of one equation from the other in vertical format.

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Evaluate the function: g(x) = -x +4 Find: g(b-3)​

Answers

Answer:

g(b-3) = -b + 7

Step-by-step explanation:

Plug in the value (b-3) as x into the equation

g(b-3) = -(b-3) + 4

distribute the negative sign

g(b-3) = -b + 3 + 4

combine like terms

g(b-3) = -b + 7

A cube has edges measuring 8 centimeters.
Find its surface area.
(please)

Answers

uhhhhh don’t quote me on this but i think it’s 384cm^2

This question was confusing 15 for whoever answers

Answers

Answer:

Refer to the attached image.  I'm not clear on one point.  Yes, it is confusing.

Step-by-step explanation:

See attached image.

(2x²+3)(3x-2)-3x(x²-4)

Answers

Answer:

3x^3-4x^2+12x-6

Step-by-step explanation:

i hope this is right<3

Jada is comparing membership costs for two gyms. What is the difference in membership costs after m months if she joins Be strong instead of Zippy Health Club?

Write an expression for each membership cost for m months and subtract them.

Answers

Answer: Difference in membership costs after m months = -($24.96m + $34.94)

Step-by-step explanation:

Cost of Zippy health club = $49.95 + $19.95 per month

Cost of Be strong = $24.99 per month and $10 off the first month

Total cost after m months of Zippy health club = $49.95 + $19.95m

Total cost after m months of Be strong = $24.99 (m - 1) + $ 10

Difference in membership costs after m months ={ $24.99m - $24.99 + $10 ]-[$49.95m + $19.95}

=$(24.99 - 49.95) m -$14.99 - $19.95

= -$24.96m - $34.94

=-($24.96m + $34.94)

So Difference in membership costs after m months =-($24.96m + $34.94)

therefore jada have to pay more if she joins Be strong.

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Drag each expression to the correct location on the table.
Simplify each exponential expression using the properties of exponents and match it to the correct answer.

Answers

The solution to the exponential expression is as follows:

[tex]\mathbf{\dfrac{(2\times 3^{-2})^3(5\times 3^2)^2}{(3^{-2})(5\times 2)^2} = 2}[/tex][tex]\mathbf{=(3^3)(4^0)^2(3\times 2)^{-3}(2^2)=\dfrac{1}{2}}[/tex][tex]\mathbf{\dfrac{(3^7\times 4^7)(2 \times 5)^{-3}(5^2)}{12^7\times 5^{-1}\times 2^{-4}} = 2}[/tex][tex]\mathbf{\dfrac{(2\times 3)^{-1}\times 2^0}{(2\times 3)^{-1}}= 1}[/tex]

What are exponential expressions?

Exponential expressions are convenient ways to express the mathematical power of a number in short forms.

Simplifying the following expressions given:

1.

[tex]\mathbf{\dfrac{(2\times 3^{-2})^3(5\times 3^2)^2}{(3^{-2})(5\times 2)^2} }[/tex]

Applying the exponent rule: [tex]\mathbf{(a\times b)^n = a^n b^n}[/tex]

[tex]\mathbf{\implies \dfrac{(2\times 3^{-2})^3\times 5^2\times 81}{3^{-2}\times 5^2\times2^2} }[/tex]

cancel out the common factor, we have:

[tex]\mathbf{\implies \dfrac{(2\times 3^{-2})^3\times 81}{3^{-2}\times2^2} }[/tex]

[tex]\mathbf{\implies \dfrac{(2\times 3^{-2})^3\times 3^4}{3^{-2}\times2^2} }[/tex]

[tex]\mathbf{\implies \dfrac{(2\times 3^{-2})^3\times 3^6}{2^2} }[/tex]

[tex]\mathbf{\implies \dfrac{2^3 \times \dfrac{1}{729} \times 3^6}{2^2} }[/tex]

[tex]\mathbf{\implies \dfrac{2^3 \times \dfrac{1}{729} \times729}{2^2} }[/tex]

[tex]\mathbf{\implies \dfrac{2^3 }{2^2} = 2}[/tex]

2.

[tex]\mathbf{=(3^3)(4^0)^2(3\times 2)^{-3}(2^2)}[/tex]

= [tex]\mathbf{\dfrac{1}{2}}[/tex]

3.

[tex]\mathbf{\dfrac{(3^7\times 4^7)(2 \times 5)^{-3}(5^2)}{12^7\times 5^{-1}\times 2^{-4}} = 2}[/tex]

4.

[tex]\mathbf{\dfrac{(2\times 3)^{-1}\times 2^0}{(2\times 3)^{-1}}= 1}[/tex]

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Find the measure of angle 1.
5)
AB is a straight line.
A
152⁰
B

Answers

Let that angle be x

Linear pairs are supplementary

So

152+x=180x=180-152x=28°

If f(x) = √2x, then f'(8) =

Answers

Answer:

√2

Step-by-step explanation:

Comment

You have differentiated the given equation. When you do that the x becomes 1.  F'(x) is going to be √2 no matter what x is.

A sector of a circle of radius 14cm containing
an angle 60° is folded to forma cone
Calculate the radius of the base of the circle
}

Answers

answer is 2 ⅓

Explanation

Length of arc = circumference of the base of the

cone

is β/360 x 2πR=2πr

make r the subject of formula

r =βR/360

r=60 x 14/360

r=2⅓cm

please mark as brainliest if i am right

R=2.65cm i just answered

x + 4y = -10
2x - y = 7

Answers

Answer:

(2, - 3 )

Step-by-step explanation:

x + 4y = - 10 → (1)

2x - y = 7 → (2)

multiplying (2) by 4 and adding to (1) will eliminate y

8x - 4y = 28 → (3)

add (1) and (3) term by term to eliminate y

9x + 0 = 18

9x = 18 ( divide both sides by 9 )

x = 2

substitute x = 2 into either of the 2 equations and solve for y

substituting into (1)

2 + 4y = - 10 ( subtract 2 from both sides )

4y = - 12 ( divide both sides by 4 )

y = - 3

solution is (2, - 3 )

Gerald is constructing a line parallel to line l through point P. He begins by drawing line m through points P and Q. He then draws a circle centered at Q, which intersects line l at point N and line m at point S. Keeping the compass measure, he draws a congruent circle centered at point P, which intersects line m at point T.

Which next step will create point R, such that when a line is drawn through points P and R, the line will be parallel to line l?

Lines m and n intersect at point Q. A circle is drawn around point Q and forms point S on line m and forms point N on line l. Point P is also on line m. A circle is drawn around point P and forms point T on line m.
Use the compass to construct a circle centered at Q through point P.
Using the compass measure between points S and N, draw an arc to the right of line m, centered at T, intersecting the edge of circle P.
Using the compass measure between points S and N, draw an arc above line l, centered at N, intersecting the edge of circle Q.
Use the compass to construct a circle centered at P through point Q.
Mark this and return

Answers

Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope. The correct option is C.

How are parallel straight lines related?

Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope.

Since the given parallel line has equation y = 2x + 2 , thus its slope is 2 and thus, the slope of the needed line is 2 too.

The next step that Gerald should take is Using the compass measure between points S and N, draw an arc to the right of line m, centered at T, intersecting the edge of circle P.

Hence, the correct option is C.

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sec(pi/2 -x) =csc x true or false

Answers

Answer:

true

Step-by-step explanation:

if you rewrite [tex]sec\left(\frac{\pi }{2}\:-x\right)[/tex] with trigonometric identities:

[tex]sec\left(\frac{\pi }{2}\:-x\right)[/tex]    [tex]=\frac{1}{\sin \left(x\right)}[/tex]

[tex]\frac{1}{\sin \left(x\right)}[/tex]  [tex]=\csc \left(x\right)[/tex]

so, yes,  [tex]sec\left(\frac{\pi }{2}\:-x\right)[/tex]  [tex]=\csc \left(x\right)[/tex]

hope this helps!!

In △ABC, ∠C = 2∠B and ∠A = 540, find the measure of ∠B.​

Answers

Answer:

B = 42°

Step-by-step explanation:

All of the internal angles of a triangle  sum to 180°

x + 2x + 54 = 180

3x = 180 - 54

x = 42 °            which is angle B

22.
(05.07 MC)

The table shows the values of y for different values of x:

x 7 8 9 10 11 12 13
y 13 10 7 6 5 3 0


The correlation coefficient for the data is −0.9847. Which statement is true about the data in the table? (1 point)

There is no relationship between x and y.

There is a weak negative relationship between x and y.

There is a strong positive relationship between x and y.

There 22.
(05.07 MC)

The table shows the values of y for different values of x:

x 7 8 9 10 11 12 13
y 13 10 7 6 5 3 0


The correlation coefficient for the data is −0.9847. Which statement is true about the data in the table? (1 point)

There is no relationship between x and y.

There is a weak negative relationship between x and y.

There is a strong positive relationship between x and y.

There is a strong negative relationship between x and y.

Answers

The option fourth "There is a strong negative relationship between x and y" is correct.

What is correlation?

It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.

[tex]\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}[/tex]

 

The options are:

There is no relationship between x and y.There is a weak negative relationship between x and y.There is a strong positive relationship between x and y.There is a strong negative relationship between x and y.

We have data:

x 7 8 9 10 11 12 13

y 13 10 7 6 5 3 0

The value of correlation r = -0.9847

As we know the value of r between -1 to +1

If r = 1 (perfect and positive correlation)

if r = -1 (perfect and negative correlation)

We have r = -0.9847

The value is near to -1 which means there is a strong negative relationship between x and y.

Thus, the option fourth "There is a strong negative relationship between x and y" is correct.

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You are heading to a drive-in movie and will need exact cash at the entrance for everyone in your car to get in. The cost is $6.50 per person. Write an expression that represents the total cash needed for your car based on the number of people, p, in your car.

Answers

Answer:

Using the concept of equation of line, we find that the relationship will be

C = $6.5p.

Step-by-step explanation:

If the cost per head is $6.5 and there are p persons entering the car, then the total amount would be $6.5p.

The final equation would resemble the equation of line y = mx + c.

The expression for the total cost C, would be

C = 6.5p.

Here y = C, x = p, m = 6.5 and c = 0.

So, the expression for the total cost will be the equation of line C = 6.5p.

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HELP PLEASE! (will be marking brainliest) What is the measure of FJG?

A. 95
B. 100
C. 105
D. 115

Answers

Answer:

105

Step-by-step explanation:

Angles HJG and HJG form a straight line so they add to 180

< HJG  + < FJG  = 180

75 + <FJG = 180

<FJG = 180-75

<FJG = 105

Answer:

C) 105

Step-by-step explanation:

HJG and KJF are vertical angles so they both equal 75 degrees.

A line is 180 degrees so 180-75=105 so 105 = is FJG

If+you+invest+$100+at+an+interest+rate+of+15%,+how+much+will+you+have+at+the+end+of+eight+years?

Answers

Answer:

$305.9022863 or $305.90 (rounded to 2 decimal places)

Step-by-step explanation:

It is a compound interest, meaning an interest accumulates on an initial amount every period. The formula  

A= P(1+R)^n

A= the total amount P=Initial amount       R= rate  n=time period

P=$100 R=15% or 0.15(decimal)  n=8 (years)  

A= 100 (1.15)^8

A= 100(3.059022863)

A=305.9022863

The amount you will have after 8 years is $220

Calculating simple interest

The formula for calculating simple interest is expressed as:

SI =PRT

P is the principal = $100

T is the time = 8 years

R is the rate. = 15%

SI = 100 * 8 * 0.15
SI = $120

Amount after 8years = $100 + $120
Amount after 8years = $220

Hence the amount you will have after 8 years is $220

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A 1/25 scale model sports car is 5.5 in long. What was the length of the actual car to the nearest in?

Answers

Answer: 137.5 in

Step-by-step explanation: All we have to do is multiply 25 to 5.5 to get the original result. Since the scaling is 1/25, it means it is 25 times smaller. Thus, just multiply 25 to 5.5 and you get 137.5 in, the original result.

−−→AB=(xy)


What values should x an y take?

Answers

The values x and y take are 5 and 0 respectively.

We know that in mathematics, a graph is a visual representation or diagram that shows data or values in an ordered way.

The relationships between two or more things are frequently represented by the points on a graph.

In this case, we have to determine the values of x and y.

Notice that in this graph, point A is located at A = 5 and point B is located at B = 0.

So, we can write (A, B) = (x, y) = (5, 0)

Therefore, the values x and y take are 5 and 0 respectively.

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Using p as the variable for the problem below, solve for p. Submit your answer
as an inequality, using "<=" for < or ">" for ≥ if necessary. Round to two
decimal places.
Hosting a dinner party for 38 people, you plan to serve peach pie for dessert.
Each pie has 8 slices. How many pies must you buy to ensure each guest
gets 1 slice?

Answers

Answer:

Step-by-step explanation:

As host, we want to insure each guest has at least one slice of pie.  We can say  (1 Slice/Guest) and use this as a conversion factor.  We also know each pie has 8 slices:  (8 Slices/1 Pie).  Since this is a conversion factor, we can invert it to (1 Pie/8 Slices).  We expect 38 people and want to convert that number of people to the number of pies, p, we need.

  p (pies) [tex]\geq[/tex] (38 Guests)*(1 Slice/Guest)*(1 Pie/8 Slices)

We use the [tex]\geq[/tex] sign to note that we need a minimum of pies to be sure everyone is served.

p (pies) [tex]\geq[/tex] (38 )*(1 /)*(1 Pie/8 )

Note how the units cancel:

Guests and Slices both cancel and we are left with pies as the only remaining unit, as we hoped we'd see.

p [tex]\geq[/tex] (38/8) pies

p = 4 +(6/8) pies

Since we cannot purchase 6/8 of a pie, we need to round up to 5 pies.

5 pies, at 8 slices per pie, will provide 40 servings, enough for the 38 guests.

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the best alternative given up when we make a decision is called the ________ of that decision. the hemiacetal below is treated with 18o-labeled methanol (ch3o*h) and acid. where will the label appear in the products? 5, the following equation shows the position of a particle in time t, x=at2i + btj where t is in second and x is in meter. A=2m/s2, b=1m/s. FindA, the average velocity of the particle in the time interval t1=2sec and t2=3secB, the velocity and acceleration at any time t.C, the average acceleration in the time interval given in part (a) What is the solution to this system of equations 3x+y=17X+2y=49 WILL GIVE THE BRAINLIEST!If r and s are real numbers such thatr>s>0, then(A) -s>-r> 0.(B) 0>-r> -s.(C) 0> -s> -r.(D) -s>0> -r.(E) -r> -s > 0. Helen wants to have cake for her party. She needs 1 cake for every 8 people. Which expression helps her decide how many cakes to buy if p represents the number of people?A. 8pB. 1/8pC. 8 + pD. p-8 Solve the system. 2x y = 3 2y = 6 4x write each equation in slope-intercept form. y = x y = x Diary entry for thanking god for your blessings A country will roughly double its gdp in twenty years if its annual growth rate is: Please and thank you Technology is defined as human ________________ in action that involves the generation of knowledge and processes to develop systems that solve problems and extend human capabilities. How do humans differ from chimpanzees? Question 6 of 10Which characteristic of water is most helpful to fish in a lake?OA. Water molecules are polar.OB. Two elements makeup the compound water.OC. Water freezes at 0C.OD. Frozen water floats on liquid water.SUBMIT evaluation of unanticipated adverse device effects (uades) must be reported to the fda by the: What is critical theory in communication 6,000+50+5 standard form When asked to guess whether Mark is from Montana or California, you guess California because more people live in California. You have used __________ in making your decision. Compltez ces phrases avec les pronoms relatifs composs.a) Donne-lui largent ________________________________il achtera sa voiture.b) La salle ________________________________ils sont entrs tait trs grande.c) Ce sont des agrables __________________________ jai pass quelques jours.d) Voil lami ________________________________________ jai achet ce livre.e) Cherches-tu ton sac _______________________________ tu as mis tes livres ?f) Jaime beaucoup la fille ______________________________________tu parles.g) La peinture_____________________________ il est debout est celle de Renoir.h) La rivire_______________________________________ ils sont debout est trs large.i) Cest un roman la fin ________________________________tout finit bien.J) La fort ______________________________________ ils passent est dangereuse. Which of the following was the main reason farmers supported the war efforts?O to show patriotismO to increase their salesO to help othersO to follow the laws= Whats the answer? I dont know how I got it wrong