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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:

C.

yes; y = 1.8x

Step-by-step explanation:

Answer for the question :

Yes, Y varies directly with X, and the equation is :

Y = 1.8X

NOTE : For every value of X, when you multiply them with 1.8, you will get the corresponding Y.  

Y = 1.8 x X

5.4 = 1.8 x 3

12.6 = 1.8 x 7

21.6 = 1.8 x 12   (Q.E.D.)

That’s the answer, good luck in solving the question!

:-)

ideal all you ought to do is to divide the y via potential of x and u get the equation working occasion #a million y=32 / x=4 then u have y/x=32/4 ----> y=8x and do the comparable indoors something so #2 y=-20 & x=-20 so y/x=-20/-20 y=x etc

The linear equation is given as y = 1.8x, Then the correct option is C.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

Let the equation of the line pass through (x₁, y₁) and (x₂, y₂). Then the equation of the line is given as,

[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]

The table is given below.

x         y

3      5.4

7      12.6

12     21.6

Then the linear equation is given as,

[tex]\rm (y - 5.4) = \left [\dfrac{5.4-12.6}{7-3} \right] (x-3)[/tex]

Simplify the equation, then we have

y - 5.4 = 1.8(x - 3)

y - 5.4 = 1.8x - 5.4

y = 1.8x

The linear equation is given as y = 1.8x, Then the correct option is C.

More about the line passing through two points link is given below.

https://brainly.com/question/12740817

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Answer:

The t-score to be used to find the 95% confidence interval for the population mean is;

[tex]t_{(0.025, \, 25)} = 2.06[/tex]

Step-by-step explanation:

The t-score which is representative of a point with n - k (n, and k represents the sample size and the number of groups in the test respectively) degrees of freedom  from the Student's T-distribution is a standard test statistic obtained by applying a T-test

Therefore, the t-score used for a confidence interval is obtained by by making use of the the following information;

The number of degrees of freedom = n - k

The confidence level in the confidence interval

The parameters given in the question are;

The number of pizza orders in the sample, n = The sample size = 26

The number of samples used in the estimate, k = 1 group of 26 randomly sampled pizza

The level of confidence (the probability) that the interval contains the population mean = 95%

Therefore, the significance level, α = 1 - 95% = 1 - 95/100 = 0.05

∴ The α-level for the upper and lower limit of the interval are α/2 = 0.05/2 = 0.025 long

The degrees of freedom, df = n - k

∴ For the estimation, DF = 26 - 1 = 25

The t-statistic is therefore the t-value at the intersection of the row for DF = 25 and the 0.025 (one-tail) column (0.025 two-tail column) which gives;

[tex]t_{(\alpha /2, \, DF)} = t_{(0.025, \, 25)} = 2.06[/tex]

Answer:

A box and whisker plot is a method of displaying variation in a set of data.

Minimum value: The smallest value in the data set

Second quartile: The value below which the lower 25% of the data are contained

Median value: The middle number in a range of numbers

Third quartile: The value above which the upper 25% of the data are contained

Maximum value: The largest value in the data set

Answer:

17.5

Step-by-step explanation:

90% sure

Answer:

is there a picture of the figure?

Step-by-step explanation:

maybe 98 is an answer.

Answer:

$96

Step-by-step explanation:

 [tex]f(x)= a(1-r)^x[/tex]

a= initial amount

x= time in years

r= decay rate

[tex]f(x)= 1,200(1-0.4)^5[/tex] ≈

[tex]f(x)= 96[/tex]

9514 1404 393

Answer:

  d

Step-by-step explanation:

A relation is NOT a function if the same input value maps to multiple output values.

Any relation that has an input with multiple arrows from it is not a functional relation. The diagram below is NOT a function.

Answer:

I believe you're right good luck

Answer:

120 markers

Step-by-step explanation:

I'm pretty sure this isn't the way to solve this...but it works

8+5=13

195/13=15

15*8=120

Answer:

[tex]60+3x+5x=180\\8x=120\\x=15[/tex]

[tex]\angle ABC=5x=5\times15=75\textdegree\\\angle ACB=3x=3\times15=45\textdegree[/tex]

Answer:

if your asking what do you have to add to negative 4 to get 16then you add 20 or if your asking what to add to get -4 I will need more info message me or comment

Answer: i think its 152x-11

Step-by-step explanation:

the question is written weird so that what i got

Answer:

3.21

Step-by-step explanation:

5/7/2/9

5/7*9/2

45/14

3.21

Answer:

5/7 x 9/2 = 45/14 = 3 3/14

Make 2/9 a reciprocal (basically just turning the fraction upside down) then turn the division sign into a multiplication sign and multiply across then simplify to get your final answer! To get a decimal you need to divide normally.

Answer: It will be 0.75x+10.5

Step-by-step explanation:

Because if we were to do 12.75-10.5, we get 2.25, 2.25/0.75=3, it matches Carrie's pizza's amount of toppings, same with Brad. Goodluck on your DLA as you are on Aware Testing for Cinco, I won't tell you the school name because I don't want stalkers to track us down.

Answer:

[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{:}\ [/tex]

Linear function :The characteristic property of linear functions is that when the input variable is changed, the change in the output is proportional to the change in the input. Linear functions are related to linear equations.

Step-by-step explanation:

We have

y=mx+c

for 1st

not satisfied.

for

2nd

not satisfied

3rd

3rd satisfied

4th

[note : substitute value of x to get value of y from table]

so

third table represents a linear function.

Answer:

The third option is the answer

Step-by-step explanation:

its like the only one which fits the question

Answer:

The 75th term in the sequence is 16

Step-by-step explanation:

The 75th term of a sequence can be considered as the term that is in the position at 75% along the sequence. This is assuming that the sequence has been sorted already from lowest value to highest value

In this sequence, which has 4 terms, we can find the 75th term by finding what term is at 75% (or three-quarters) along the sequence.

To find the 75th term:

Multiply the number of terms by 0.75 (or 75%/100%) :

             0.75*4 terms= 3

Then, we find the value of the term that is at position 3 from the left (lowest number)

In this case, the term that is at the 3rd position from the left is 16

Thus, the 75th term in the sequence is 16

Answer:

35 units

Step-by-step explanation:

15/6=2.5

The larger triangle is magnified by a factor of 2.5

Hence its dimensions are 3×2.5=7.5, 5×2.5=12.5 and 6×2.5=15

Perimeter is 7.5+12.5+15=35 units.

Answer:

5.25 or 5 and 1/4

Step-by-step explanation:

7 pieces of wood * 3/4 yards each piece of wood is = 5.25 or 5 and 1/4 which represents the total length of the 7 pieces of wood.

Answer:

78.5 cm^2

Step-by-step explanation:

1, find the radius (half a diameter) R = 5

3.14 * 5^2

3.14 * 25 = 78.5

Answer:

so first you would find out the whole equation after you plug in x and it would be

y=8-6

y=2

so the answer is A. 2

The value of y is 2.

The correct option is (A).

An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra.

Given equation is: y = 8 – 2x.

So, when x=3

y= 8-2*3

 =8-6

 = 2.

Hence, the answer is A. 2

Learn more about equation here:

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Answer:

C

Step-by-step explanation:

the square root of 89 is about 9.4 and, on this graph, 9.4 is at about C

Hope this helps you :)

Answer:

3 1/15

Step-by-step explanation:

Product means multiply

Simple mathematics.

2+3 1/10==5 1/10-4==1 1/10 -9 == -8 1/10 == -8.1

-10-4 1/2== -14 1/2 +2 +9 == -3 1/2 == -3.5

Answer:

x=7

Step-by-step explanation:

a triangles Angel's should add up to 180 all together

So, 71+64=135

180-135= 45

now that you have found the missing angle, you need to find x.

set the equation equal to 45:

8x-11=45

now solve:

8x-11 =45

add 11 to both sides to cancel out the negative 11 and try to get x alone:

8x=56

divide 8x by 8 and 56 by 8 to get x alone:

x=7

Answer:

d. 130

Step-by-step explanation:

Answer:

Step-by-step explanation:

area=base(one side )×h

[tex]\frac{h}{44} =sin 97\\h=44 ~ sin~ 97\\area=50 \times~44~sin~97 \approx 2183.60~sq. ~ft.[/tex]

The correct answer is:

D. ∠FGE≅∠NMP

Explanation:

The symmetric property states that if two quantities are equal (or congruent), you can "flip" them around the equals sign (or congruence sign).  

This means since EFG is congruent to HJK, then HJK is congruent to EFG.

Answer:

Step-by-step explanation: