Work out the area of the trapezium.

Answer:

1)-9x^5 + 7x^2 + 3    2)  -2x2 • (x - 7)      3)  -23v^2 + 7v + 4    4) is just 7x

Answer:

1) given

2) alternate interior angles

3) given

4) definition of midpoint

5) vertical angles

6) ASA

Step-by-step explanation:

Answer:

Step-by-step explanation:

35(6)x12=224

Answer:

The answer is below

Step-by-step explanation:

From the image:

∠P + ∠Q = 180° (consecutive angles are supplementary)

78 + ∠Q = 180

∠Q = 180 - 78

∠Q = 102°

∠RQN = 360° - 305° =(sum of angle in a point)

∠RQN = 55°

∠RQN + ∠RQP = 102°

∠RQP = 102 - 55 = 47°

a) Let PR = x

Using cosine rule:

[tex]x^2=600^2+950^2-2(900)(600)cos(47)\\\\x^2=485021.9\\\\x=\sqrt{485021.9} \\\\x=696 \ m[/tex]

Therefore PR = 696 m

b) Let ∠RPQ be A°

Using sine rule:

[tex]\frac{sin(A)}{600} =\frac{sin(47)}{696} \\\\sin(A)=\frac{sin(47)}{696} *600\\\\sin(A)=0.6304\\\\A=sin^{-1}(0.6304)\\\\A=39^0[/tex]

∠RPQ = 39°

Hence the bearing of R from P = ∠NPR = 78° - 39° = 39°

Answer:

Equation of line perpendicular to given graph is:

[tex]y = -\frac{1}{2}x+4[/tex]

Step-by-step explanation:

Given equation of line is:

14x-7y=8

First of all, we have to convert the given equation into slope-intercept form to find the slope of the line

The slope-intercept form is:

[tex]y = mx+b[/tex]

Now

[tex]14x-7y=8\\14x-8 = 7y\\\frac{7y}{7} = \frac{14x-8}{7}\\y = \frac{14}{7}x - \frac{8}{7}\\y = 2x - \frac{8}{7}[/tex]

The co-efficient of x is 2 so the slope of given line is 2

Let m1 be the slope of line perpendicular to given line

The product of slopes of two perpendicular lines is -1

[tex]m.m_1 = -1\\2.m_1 = -1\\m_1 = -\frac{1}{2}[/tex]

The equation for line perpendicular line to given line will be:

[tex]y = m_1x+b\\y = -\frac{1}{2}x+b[/tex]

To find the value of b, putting (-2,5) in the equation

[tex]5 = -\frac{1}{2}(-2) + b\\5 = 1+b\\b = 5-1\\b = 4[/tex]

The final equation is:

[tex]y = -\frac{1}{2}x+4[/tex]

Hence,

Equation of line perpendicular to given graph is:

[tex]y = -\frac{1}{2}x+4[/tex]

Answer: 4. A

5. C

6. B

Step-by-step explanation:

Answer:

I know for a fact that it is Devide by nagative 5

Step-by-step explanation:

Given:

[tex]\Delta PQR\cong \Delta XYZ[/tex]

[tex]PQ=3a+4[/tex]

[tex]XY=5a-12[/tex]

To find:

The value of a and PQ.

Solution:

We have,

[tex]\Delta PQR\cong \Delta XYZ[/tex]

[tex]PQ\cong XY[/tex]                            (CPCTC)

So,

[tex]PQ=XY[/tex]

[tex]3a+4=5a-12[/tex]

Isolating variable terms, we get

[tex]3a-5a=-4-12[/tex]

[tex]-2a=-16[/tex]

Divide both sides by -2.

[tex]a=\dfrac{-16}{-2}[/tex]

[tex]a=8[/tex]

Now,

[tex]PQ=3a+4[/tex]

[tex]PQ=3(8)+4[/tex]

[tex]PQ=24+4[/tex]

[tex]PQ=28[/tex]

Therefore, the value of a is 8 and the value of PQ is 28.

Answer:

12n+19

Step-by-step explanation:

(4n + 14) + (5 + 8n)

4n+14+5+8n

12n+19

Hey there!

The answer is 24

2+0

2

2+3

5

5+4

9

9+9

18

18+6

24

Have a good day!

P.S. UMMMMMMMMM

Answer:

7.429 cents

Step-by-step explanation:

Given that:

Price change = $1.51 to $2.03

Period of time = 7 years

Therefore, the annual inflation rate :

Difference in price / number of years

($2.03 - $1.51) / 7

$0.52 / 7

= 0.0742857 per year

= 0.0742857 * 100 (about 7.429 cents per year)

The mean of the data is 18 and the missing statement is x = 24

The mean value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.

Mean = Sum of Values / Number of Values

Given data ,

Let the data be represented as A

Now , the value of A = 16 , 10 , 22 , x

Let the mean of the data be M = 18

To find the mean of the data set, we need to add up all the numbers and divide by the total number of numbers:

(16 + 10 + 22 + x) / 4 = 18

We can simplify this equation by multiplying both sides by 4 to get rid of the fraction:

16 + 10 + 22 + x = 72

Now we can solve for x by subtracting the three known numbers from both sides:

x = 72 - 16 - 10 - 22

x = 24

Therefore, the number that could be put in the blank to make the statement true is 24

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Answer: 90 is a number which has 9 as the sum of its digits, 9+0=9 and if the digits are reversed, 09 is 81 less than 90.

Step-by-step explanation: Since the number must be a 2-digit number, it seems that 90 is the only number that qualifies.

If you need some equations, here is a way to set up a system to solve:

x+y= 9 rewrite to get a value for y to substitute:

y = 9-x

10x +y = 10y + x + 81 rewrite by moving (subtracting variable terms from both sides)

10x -x + y-10y = 81 combine like terms

9x - 9y = 81

Substitute for y and solve for x

9x - 9(9-x)= 81 distribute.

9x - 81 + 9x = 81

18x = 162. 162/18 = 9

x = 9

Substitute in the original equation to solve for y

9 + y = 9

y = 0

10(9) + 0 = 10(0) + 9 +81

90 - 81 = 09

Answer:

Distributive property

Step-by-step explanation:

Here, we want to evaluate the property illustrated

From what we can see, we have that each of the inner values are multiplied by the outside value

This is simply a display of distributivity

We can conclude that we have a right distributive property in place here

Answer:

The first brother is 16, the second brother is 8 and the third brother is 4.

Step-by-step explanation:

Since the sum of all the brothers  is 28, that means the cap of how old the oldest can be is 28. I just stated with numbers less then 28 that were dividable by two which means all the numbers had to be. So 16 for the first, 8 for the second and 4 for the youngest is the right answer I hop.

Answer:

3672

Step-by-step explanation:

If  8 gallons of gas were used to drive 204 miles  multiply  18x204=3,672 miles

The car be driven 459 miles on 18 gallons of gas.

A quantity is said to be linearly proportional to another quantity, if the value of the first quantity varies linearly with the second quantity.

Given,

8 gallons of gas is used to drive 204 miles.

Also, the number of miles driven varies directly with the number of gallons of gas used.

Therefore, (number of miles)/18 = 204/8

                    number of miles = 18 × (204/8)

                                                = 18 × 25.5

                                                = 459 miles

Hence, the car be driven 459 miles on 18 gallons of gas.

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Answer:

7.3≤x<7.4

Step-by-step explanation:

Answer:

the answer is 235/655= 0.358778

Answer:

$ 6.43

Step-by-step explanation:

Answer:

She gets back $6.43 dollars as change

Step-by-step explanation:

If you add 20 and 10 you get 30, and if u subtract 23.57 from 30 like this, 30.00 - 23.57

       30.00                         29.99                  

    -  23.57                     -   23.57

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

                                          06 .42

Hope this help :)

Answer:

48a^7 b^5 (I hope I got this right, it has been awhile since I've done equations like these)

Step-by-step explanation:

(-4a^3 b^2)^2 × (3a^2 b)

16a^5 b^4 × 3a^2 b

48a^7 b^5

Answer:

A 7.85 cm2 should be right

Answer:

tetrahedral

Step-by-step explanation:

According to the valence shell electron pair repulsion theory (VSEPR) the shape of a molecule is dependent on the number of electron pairs on the valence shell of the central atom in the molecule.

The predicted electron pair geometry may sometimes differ from the molecular geometry due to the presence of lone pairs and multiple bonds.

If we consider each nitrogen atom in N2 independently, we will notice that each nitrogen atom has four regions of electron density. Hence the electron pair geometry is tetrahedral.

Answer: Kiran is correct

Step-by-step explanation: kiran would be correct because if they were to double the length of the rectangle then the corner to corner length would also double. Sure mai is right when she says that the diagonal length is longer then to two side lengths but that doesn't change the fact that it would only double and nothing more.

Answer:

3785 + 259d

Step-by-step explanation:

cost of food booths = 16 * (100 + 9d) = 1600 + 144d

cost of game booths = 23 * (95 + 5d) = 2185 + 115d

total = 1600 + 2185 + 144d + 115d = 3785 + 259d

Answer:

Thinking graphically, these correspond to the graph of the straight line (a) missing the graph of the parabola entirely, (b) kissing the parabola at one point or (c) cutting across the parabola and coinciding with it at 2 points.

Step-by-step explanation:

Explanation:

Graphically, a quadratic equation is a parabola and a linear equation is a straight line.

i hope it helps

I'm sorry if I get this wrong, but there isn't enough evidence.

If we think about the shorter side being 4.2 cm, then just divide 33.6 by 4.2 to give it a ratio. 33.6 / 4.2 is 8. The ratio of the scale drawing to the actual playground would be 1 : 8.

The longer side is 10.5, so just multiply that by 8. You'd get 84 meters. The only part left is getting the area.

Multiply 84 x 33.6 and you'd get 2822.4

The answer would be 2,822.4 squared.