R
SECTION II (50 MARKS)
Answer ANY FIVE questions in this section.
17) In a triangle ABC, BC=8cm, AC=12cm and angle ABC=120
a) Calculate the length of AB, correct to one decimal place (4marks)​

Answer:

Women: 448  Men: 560  Children: 1232

Step-by-step explanation:

5+4+11 = 20/2240 = 112

Women = 4 x 112 = 448

Men = 5 x 112 = 560

Children = 11 x 112 = 1232

Total = 1232 + 560 +448 = 2240

Answer:

c 62.8

Step-by-step explanation:

pi=3.14

3.14(2^2)5

3.14(4)5

3.14(20)

62.8 in

Answer:

-1 ; -1 ; the two lines are parallel

Step-by-step explanation:

To find the slope of the two lines, we can proceed in two different ways:

1) the faster is do the division: -a/b where a is the number the multiplies x and b is the number that multiplies y

line 1: m = 3/-3 = -1   line 2: -4/4 = -1

2) the second is to rewrite the two equation in the slope intercept form and find what term multiplies the x

line 1

-3y = 3x+6

-y = x + 2

y = -x -2

m = -1

line 2

x+y = 2

y = -x +2

m = -1

the two lines have the same slope, so they are parallel

Answer:

1) $52,000

2) $43,200

3) P = 325 × x + 180 × y

4) x + y ≤ 240

2·x + y ≤ 320

325 × x + 180 × y ≤ 52,000

5) Please find a similar graph created with MS Excel

6) Corn will have 80 acres

Soybean will have 160 acres

7) $54,800

Step-by-step explanation:

The acres of cropland at the Waterbrook Farm, A = 240 acres

The profit per acre in corn production, p₁ = $325

The profit per acre in soybean production, p₂ = $180

The hours of labor required by each acre of corn = 2 hours

The hours of labor required by each acre of soybeans = 1 hours

The number of acres planted with corn = x

The number of acres planted with soybeans = y

1) The farm's profit, 'P', if they planted only corn is P = p₁ × A

∴ P = $325/acre × 320 hours/(2 hours/acre) = $52,000

The farm's profit if they planted only corn, P = $52,000

2) The farm's profit, 'P', if they planted only corn is P = p₂ × A

The required labor for cultivating the 240 acres at 1 hour/acre = 240 hours of labor

Therefore, the labor is sufficient for the entire farmland, we get;

The profit, P = $180/acre × 240 acres  = $43,200

∴ The farm's profit if they planted only soybeans, P = $43,200

3) The equation for the Waterbrook Farm's profit, 'P' can be found, depending on the area of the farm used for the corn and the soybeans as follows;

P = 325 × x + 180 × y

4) The system of inequalities includes;

x + y ≤ 240

2·x + y ≤ 320

325 × x + 180 × y ≤ 52,000

5) Using DESMOS, we have;

The graph of the systems of inequalities is plotted and a graph similar to the attached graph created with MS Excel is found

6) The maximum profit point found using DESMOS is (80, 160)

Therefore, for maximum profit, 80 acres should be used for corn while 160 acres should be used for soybeans

7) The maximum profit of planting both corn and soybeans is found from the profit obtained from the land divided between corn and soybeans in order to yield maximum profit as follows;

P = 325 × 80 + 180 × 160 = 54,800

The maximum profit of planting both corn and soybeans, P = $54,800.

Answer:

94 days

Step-by-step explanation:

That's a cheap rent-a-car place :)

Btw I took the test.

Answer:

B. [tex]y=-\frac{2}{3}x+5[/tex]

Step-by-step explanation:

Equation of a line: y=mx+b (Where m is the slope and b is the y- intercept)

Parallel lines have the same slope.

So that means that the line will have the slope [tex]-\frac{2}{3}[/tex].

So we can write the equation of the line as y= -2/3x+b

Since it goes through the point (3,3) we can plug in 3 for x and y by doing:

[tex]y=-\frac{2}{3} x+b\\3=-\frac{2}{3} (3)+b\\3=-2+b\\b=5[/tex]

Now we know the y intercept (b) we can write the equation of the line.

[tex]y=-\frac{2}{3}x+5[/tex]

The equation of the line would be equal to y= -2/3x + 5

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

The Equation of a line: y=mx+b

Where m is the slope and b is the y- intercept

Since Parallel lines have the same slope.

So we can write the equation of the line as;

y= -2/3x+b

Since it goes through the point (3,3) we can plug in 3 for x and y

y= -2/3x+b

3 = -2 + b

b = 5

Now we know the y intercept (b) we can write the equation of the line.

y= -2/3x + 5

Learn more about equations here;

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Answer:

3/10. 0.3

Step-by-step explanation:

when you divide mixed numbers you should reciprocate them I mean take the reciprocal and that was 2 and over every number there is one so I took 1/2 hope you understand why I kept 1/2 I took its reciprocal hope you understand if I'm wrong tell me right away I'll try it out good luck.

Answer:

Easy way is completing a square:

Correct choice is J

3rd answer i believe

Answer:

Step-by-step explanation:

4/5 x 10/1= 40/5

40 divided by 5 equals 8

The answer is 8

Answer:

none or vertical

Step-by-step explanation:

I think sorry if I get that wrong

Answer:

A

Step-by-step explanation:

hope this helps and is right :)

Answer:

$1.66 per pound of potatoes.

Step-by-step explanation:

7/4.20 = 1.66$ per Pound

Mark as brainllest

$1.66 per pound of potatoes.

Answer:

the exact value is x =1/2 or x=0.5

your welcome!

The exact value is x = 1/2.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given an expression as;

[tex]27^{-1/3} = \frac{9^{1/4} }{3^{r + 1}}[/tex]

Now we can see that

27 = 3³

9 = 3²

Then the power are 3(-1/3) = -1

3(1/4) = 3/4

So we have;

[tex]3^{-1} = \frac{3^{2/4} }{3^{r + 1}}\\\\3^{-1} =3^{1/2 -r - 1} \\\\3^{-1} =3^{1 -2r - 2 /2}\\\\3^{-1} =3^{-2r - 1/2}[/tex]

So,

-2 = -2r - 1

-2r = -1

r = 1/2

More about the Algebra link is given below.

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Answer:

15, 18, 21

Step-by-step explanation:

Answer: b

Step-by-step explanation:

Answer: Uhhhh

Step-by-step explanation:

1 hour 30 but stop saying Uhhhh for the answer to some people's questions okay? Thanks!

Answer:

7) is $1.70

8) is 8 miles per hour

9) is Store A is the better buy

10) is 222

11) is the area is 6

12) is the range is 14

8.)8 miles per hour

20 = 150

X = 60

20 x 60 = 150x

1200 = 150x

X = 8

9.)better buy number A

44.68 /16 = 2.7925

31.57 /11 = 2.87

11.) The area of this figure is 6

3 X 2 = 6

12) Range of the data set is 14

15 - 1 = 14

Answer:

the polygon on the right side is doubled the size of the one on the left, therefore x=11

Answer:

HJ = 8  JE = 4

Step-by-step explanation:

it is given that H is the midpoint of GE and J is the midpoint of FE. According to the midpoint theorem the line segment connecting the midpoint of two sides is parallel to the three side and its length is half of the third side. since JH is connecting the midpoints.

HJ= 1/2 (GF)

x + 3 = 1/2 (4x - 4)

x + 3 = 2x - 2

x = 5

^ Thus meaning the value of x is 5.

Now you just fill into your equations:

HJ = x + 3 = (5)  + 3 = 8

JE = x - 1 = (5) - 1 = 4

Therefore, HJ = 8; JE = 4.

Answer:

HJ = 8

JE = 4

Step-by-step explanation:

Your welcome.

Answer: $6.75

Step-by-step explanation:

25 hours times $9= $225/week

3% increase from $9.00= $0.27

$9.27 times 25 hours= $231.75

$231.75-$225= $6.75 more per week

Answer:

The answer is false.

Step-by-step explanation:

THE reason why it is false is because if so that wouldnt make any sense.

Answer:

[tex]Net\ Worth=11310[/tex]

Step-by-step explanation:

From the question we are told that:

Car worth [tex]C=5900\$[/tex]

Car Loan[tex]L=2800\$[/tex]

Bank account [tex]B= 1600\%[/tex]

Savings account [tex]S=5210\&[/tex]

Credit card [tex]CC=1400\%[/tex]

Generally Net worth is the value of the assets a person or corporation owns, minus the liabilities they owe.

Therefore

[tex]Net\ Worth=Asset-Liability\\\\Net\ Worth=Car worth+Bank account+Savings account +Credit card-Car Loan\\\\Net\ Worth=5900+1600+5210+1400-2800[/tex]

[tex]Net\ Worth=11310[/tex]

Answer:

6tvuyrfrd

Step-by-step explanation:

Answer: The third option

Step-by-step explanation:

(6) (5) is the area of the quadrilateral, therefore you subtract that value by the area of the semi-circle.

to find the area of a semi circle the formula is: (1/2) π ( [tex]r^{2}[/tex])

The radius is 2.5 because the diameter is 5, and the radius is half the diameter.

The approximate solutions of the equations are

A, x = 1 and x = 4.2

To find the solution of a system of equations using a graph, you can Identify the point of intersection

Look for the point(s) where the graphs of the equations intersect. This point represents the solution(s) to the system of equations.

then read the coordinates of the point

From the graph, the x coordinates that gives the point of intersection can be traced to be x = 1 and x = 4.2

Learn more about graphical solutions at

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Answer:

i believe it is 70

Step-by-step explanation:

6×12=72

6-4=2

72-2=70

Answer:

I’m guessing 108 or 165

Step-by-step explanation:

because if 45/500 if you double that it would be 90/1000. after 200 is about half of 500 so 45 divided by 2 is 22.5. yeah i’m like no help sorry

Answer:

-1952

Step-by-step explanation:

Answer:

1952

Step-by-step explanation:

12 x 76-8(456-98)

912-8 x 358

912-2864

1952