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)​

Answers

Answer 1

Answer:

17.4cm

Step-by-step explanation

17) In a triangle ABC, BC=8cm, AC=12cm and angle ABC=120

To get the length of AB, we will use the cosine rule

AB² = BC² + AC² - 2(BC)(AC) cos <ABC

AB² = 8² + 12² - 2(8)(12) cos 120

AB² = 64 + 144 - 192cos12

AB² = 208 - (-96)

AB² = 208 +96

AB² = 208 - (-96)

AB² = 304

AB² = 17.4cm

Hence the length of AB is 17.4cm


Related Questions

What adds to get -4 and multiplies to get 16

Answers

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


Two sides of a parallelogram are 44 feet and 50 feet. The measure of the angle
between these sides is 97º. Find the area of the parallelogram to the nearest square foot.

Answers

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]

Two triangles are similar. The lengths of the sides of the smaller triangle are 3,5 and 6, and the length of the longest side of the larger triangle is 15.

What is the perimeter of the larger triangle?

Answers

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.

. Carrie and Brad both ordered medium pizzas from Pizzazz. Carrie's pizza had 3 toppings
and cost $12.75 while Brad's pizza had 5 toppings and cost $14.25. Which equation
models this linear relationship where x represents the number of toppings and y represents
the total cost of the pizza?

Answers

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.

help with number 4 plz i’ll give brainliest

Answers

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 :)

Find the value of y that makes the equation y = 8 – 2x true, when x = 3. A. 2 B. 5 C. 6 D. 8

Answers

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).

What is equation?

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:

https://brainly.com/question/2263981

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Pls help me with dis question

Answers

Answer:

3 1/15

Step-by-step explanation:

Product means multiply

I think the answer is 2/3, but I’m not too sure.

Can I pls have a brainliest??

5/7 divided by 2/9 - someone answer pls

Answers

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.

1. NASA has computer scientists and engineers working on-site for their programs every
day. On the day described, find how many scientists were working and how many engineers
were working.
---
A.
One day there were 11 total engineers and scientists working. Write an
equation that represents this relationship.
B.
Each engineer is paid $144 per day and each scientist is paid $66 per day. On
the same day as in part A, earnings for scientists and engineers totaled
$1038. Write an equation that represents this relationship.

Answers

Answer:

Step-by-step explanation:

Ok there are some working areas here that I am working out but I do know that if you break down the total amount paid out to the scientists and engineers, there would be 7 scientists and 4 engineers

$1038 so if you take $66 multiplied by 7 you get $462. Multiply $144 by the remaining 4 and you get $576. The total will equal $1038. This should all help you put together the right equation because the answers are correct.

I hope this helps!!!

.
There are 5 markers
for every 8 pencils in
a drawer. If there are
a total of 195 writing
tools in the drawer,
how many markers,
m, are there in the
drawer?

Answers

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

120
Yuppsssssssssssssssssss

WILL GIVE BRAINLIEST IMMEDIATELY!!!!!!! GIVE EXPLANATION + ANSWER FOR BRAINLIEST
Scalene triangle EFG is reflected to form Δ MNP. Which statement is true?
A. EF≅NP
B. FG≅NP
C. ∠EFG≅∠NMP
D. ∠FGE≅∠NMP
IF YOU PUT RANDOM NONSENSE ANSWERS OR A LINK I WILL REPORT YOU AND EMAIL BRAINLY.

Answers

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.

can someone please help

find rate of change or slope

a. 1
b. 2
c. 1/2
d. 64​​

Answers

the answer is rate 1 dont believe me though

Answer:

I believe you're right good luck

Subtract − 9 x − 7 −9x−7 from 8 x 2 − 5 x + 9 8x 2 −5x+9

Answers

Answer: i think its 152x-11

Step-by-step explanation:

the question is written weird so that what i got

Pls help me out!!!!!!!!

Answers

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]

Computers depreciate rapidly. If a new computer that costs $1200 loses 40% of its value every year, what is its worth 5 years from now?

Answers

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]

Hi! I need some help on my hw! Feel free to attach a picture explaining it if that’s easier tysm!

Answers

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

Could someone explain the box/whisker plot

Answers

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

Belinda has 7 pieces of wood. Each piece of wood measures 3/4 yards. How many yards of wood does she have all together?

Answers

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.

5.25 or you can do 5 1/4

find the length of the unknown side round your answer to the nearest whole number 18 and 4

16.5

17.5

18.5

22.0

Answers

Answer:

17.5

Step-by-step explanation:

90% sure

find the area of the circle. ​

Answers

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

Suppose that the delivery times of a nationwide pizza chain are normally distributed with an unknown mean and standard deviation. The delivery times of 26 randomly sampled pizza orders are used to estimate the mean delivery time for the population. What t-score should be used to find the 95% confidence interval for the population mean?

Answers

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]

5 What is the range of
y = -x?- 2x + 3?


A X54
B X > -4
Cy 54
Dy >-4

Answers

The answer is d
Yes the answer is d

Which table represents a linear function? (will give brainliest)

Answers

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

What is the area of the following trapezoid

Answers

Answer:

d. 130

Step-by-step explanation:

What is the area of this figure? 2m 4m 8m 9m 5m​

Answers

Answer:

is there a picture of the figure?

Step-by-step explanation:

maybe 98 is an answer.

Find the 75th term of the following arithmetic sequence.
6, 11, 16, 21,

Answers

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

The measures of the angles of a triangle are shown in the figure below. Solve for x.

Answers

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

Which diagram is not show as a function​

Answers

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.

What type of linear equation is the following?

x + 2y = 200

1) Standard Form
2) Slope-Intercept Form
3) Point-Slope Form
4) Horizontal Form

Answers

2) slope-intercept form
The second one 2 I think

Guided Practice

x y
3 5.4
7 12.6
12 21.6


For the data in the table, tell whether y varies directly with x. If it does, write an equation for the direct variation.


A.
yes; x = 1.8y


B.
no


C.
yes; y = 1.8x

Answers

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.

What is the equation of a line passing through two points?

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

#SPJ2

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