Calculate the side lengths a and b to two decimal places.

Calculate The Side Lengths A And B To Two Decimal Places.

Answers

Answer 1

Answer:

Below in bold.

Step-by-step explanation:

m < C = 180 - 43 - 115 = 22 degrees.

Using the Sine Rule:

6 / sin 22 = a / sin 43

a sin 22 = 6 sin 43

a = 6 sin 43 / sin 22

a = 10.92 to 2 DP's.

Applying the same rule  to calculate b:

6 / sin 22 = b / sin 115

b = 6 sin 115 / sin 22

b = 14.52 to 2 DP's.


Related Questions

Sam and Jennifer are saving money for college. Sam has saved $2000 and will save $60 more each week. Jennifer has saved $2500 and will save $55 more each week.​

Answers

Answer: what the question

Step-by-step explanation:

The spinner shown is divided into equal sections that each contain one number, so that the probability of spinning each number on the spinner is the same. However, there are two red sections, and therefore there are a total of two numbers (1 and 3) that appear in red sections, while each other color appears in only one section.

A spinner with 6 equal-sized sections labeled 1 through 6. Sections 1 and 3 are red. Section 2 is blue. Section 4 is orange. Section 5 is purple. Section 6 is green.
© 2017 FlipSwitch. Created using GeoGebra.


What is the value of P(x:x is a red section)?

Enter your answer as a fraction in simplest terms, using the / symbol. For example, if your answer is 4284, which reduces to 12, enter it like this: 1/2

Answers

Answer:

the answer is 2/6 im not sure but i hope its help

7. If A = 2x + 3 and B = x^2 - 5x + 1, what is the value of A-5B?​

Answers

Answer:

[tex] \huge \boxed{ \boxed{ \tt - 5 {x}^{2} + 27 x- 2}}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:algebraPEMDASgiven:A=2x+3B=x²-5x+1to find:A-5Blet's solve:

[tex] step - 1 : define[/tex]

A-5B=2x+3-5(x²-5x+1)

[tex]step - 2 : solve[/tex]

distribute -5 to the parentheses:2x+3-5x²+25x-5rewrite:-5x²+2x+25x-5+3combine like terms:-5x²+27x-2

and

we are done

help if you can please

Answers

Answer:

a: 24 cm

b: 101 m

c: 1.46 mm

Step-by-step explanation:

Formula: d=2r

a: 12*2=24 cm

b: 50.5*2=101 m

c: 0.73*2=1.46 mm

is this a function?

Answers

Answer:

yes

Step-by-step explanation:

yes it is a function

The point (-6, 4) lies on a straight line that has a gradient of -2. What is the
equation of this line?

Answers

Given:

Point on straight line = (-6,4)

Gradient = -2

To find:

The equation of the line.

Solution:

Point-slope form: If a line passes through the point [tex](x_1,y_1)[/tex] with slope m, then the equation of the line is

[tex]y-y_1=m(x-x_1)[/tex]

The line passes through the point (-6,4) with slope -2. So, the equation of the line is:

[tex]y-4=-2(x-(-6))[/tex]

[tex]y-4=-2(x+6)[/tex]

[tex]y-4=-2x-12[/tex]

Adding 4 on both sides, we get

[tex]y-4+4=-2x-12+4[/tex]

[tex]y=-2x-8[/tex]

Therefore, the equation of the line is [tex]y=-2x-8[/tex].

find area of triangles​

Answers

area is base x height divide by 2
12x12=144
144 divide by 2 is 77

Some help me it’s timed

Answers

Answer:

43 m. Perimeter is all the sides added together.

(q – 5) 7 simplified

Answers

Answer:

7q-35

Step-by-step explanation:

the area of a circle is 49sm what is the radius​

Answers


r≈7.8 !!!!!!!!!!!!!!!

plz help, i would really appriciate it :)

Answers

Answer: [tex]x^{2} +12x+20[/tex]

Step-by-step explanation:

h(x)= (x+10)(x+2)

^ It is this way because it is so the x value will equal -10 and -2.

Now, we just distribute it. if the question does not have any points it passes through described in the problem, then it is pretty self explanatory.

x^2 + 2x+ 10x+ 20

= [tex]x^{2} +12x+20[/tex]

Answer:

f(x) = A(x - 2)(x - 10),

where A is real and A= 20.

Step-by-step explanation:

if I'm wrong I am so very sorry

PLEASE HELP ME WITH THIS QUESTION!

Answers

Answer:

C

Step-by-step explanation:

just fill in the x

ex. y=0.5x+14

     y=0.5(5)+14

     y=2.5+14

     y=16.5

     

Write all the factors of S 35. Use commas to senarate them 。​

Answers

Answer:

All of the positive integers that can divide evenly into 35 (they are the factors) are:

 1, 5, 7, 35

All others, like 2, 3, 13, ... create a remainder that is not 0.

Now, you may (or soon will be) learning about the prime factors of 35 (not 1, and only divisible by itself and 1).  They are:

    5, 7

Step-by-step explanation:

If y varies directly as x, and y is 18 when x is 5, which expression can be used to find the value of y when x is 11?
Oy- (11
y (11)
(18)(5)
oy-
5
11
2 y = (1865

Answers

Answer:

y = 18/5(11)

Step-by-step explanation:

If y varies directly as x, this is expressed as;

y∝x

y = kx

k is the constant of proportional constant

if y = 18 and x = 5

18 = 5k

k = 18/5

to get the expression that can be used to find the value of y when x is 11

y = kx

y = 18/5(11)

This gives the required expression

What is 48901x120412/12321 with a fraction of 6/9 + 29181041/21841x2912311203? It was one of my math questions couldn't find it online soooo??

Answers

4468886443222234578889953

Kurt recorded the amount of rainfall in each month for one
year. What was the total rainfall that year?

Answers

Answer:

Step-by-step explanation:

G

help me i am not good at math

Answers

41/6 is equal to 6 5/6

A book store is having a 30% off sale, Diary of a Wimpy Kid books are now $6.30 each. What was the original price of the books?

Answers

Answer:

The original price of the books were $9.

Step-by-step explanation:

%100 - %30 = %70

%70 = 0.7

$6.30 ÷ 0.7 = $9

What is a benefit of writing 4 • 4 • 4 •. 4 • 4 using exponents

Answers

Answer:

you can shorten it by putting 4 to the power of 5. (put a little 5 atop the 4.)

Step-by-step explanation:

like this

In one company, 20% of the workers in the technical department applied for vacation at the same time. If 12 workers applied for vacation, how many tech workers are there, altogether?

Answers

Answer:

There are 60 tech workers altogether

Step-by-step explanation:

Let X be the total number of tech workers in the company

Out of X tech employees, 20 % applied for leaves

In totality, 12 tech employees are on leave

Thus,

[tex]\frac{20}{100} * X = 12[/tex]

On solving the above mathematical equation, we get -

[tex]X = \frac{12*100}{20} \\X = 60[/tex]

Hence, there are 60 tech workers altogether

Ajar contains $36.25 in dimes (10 cents) and quarters (25 cents). There are 250
coins in the jar. How many quarters are there in the jar?

Answers

Answer:

Step-by-step explanation:

The jar contains 2 types of coins dimes and quarters

the total amount is equal to 36.25 dollars

the total number of coins is 250

let  number of dimes be x and quarters be y

let us put the equation

0.10x + 0.25y = 36.25

for our convinience convert all money to cents i.e. = 3625 cents

now the equations are

10x + 25y = 3625

x     +    y   = 250

we need to solve for y i.e. number of quaters

y = 250 - x

rewrite the equation substituting y in x place

10(250 - y) +25 y = 3625

2500 - 10y +25y = 3625

15y = 1125

y = 75

so the number of quarters = 75

cross checking :

number of dimes = 250 - 75 = 175

total = 10x175 + 25x75 = 1750 + 1875 = 3625 = $36.25

If ∆ABC ∼ ∆PQR such that AB = 1.8cm and PQ = 1.6 cm, what is the ratio of the areas of ∆ABC and ∆PQR.

Answers

Answer:

81 / 64

Step-by-step explanation:

The ratio of the areas can be obtained thus :

Area of ∆ABC / Area of ∆PQR

Area of ∆ABC / Area of ∆PQR = AB² / PQ²

AB = 1.8 ; PQ = 1.6

AB² / PQ² = 1.8² / 1.6²

= 18² / 16²

= 324 / 256

= 81 / 64

The circumference of a steering wheel is 19.8in. What is the radius
A. 3.2
B. 1.3
Please!!!! Help!!!! this a important test
I will mark you brainliest
If i get the correct answer Please!!!!

Answers

Answer:

A. 3.2

Step-by-step explanation:

Given

Circumference (c) = 19.8 in

Radius (r) = ?

We know

2πr = c

2 * 3.14 * r = 19.8

6.28 r = 19.8

r = 19.8 / 6.28

r = 3.2 in

Hope it helps :)❤

A. 3.2 is the answer to the question

PLS HELP WILL GIVE BRAINLIEST

Answers

Answer:

3.52BA

Step-by-step explanation:

Middle School:

Find the median by arranging the data points from smallest to largest.

1, 1, 1, 3, 4, 4, 5, 6 (Take the average of the two points in the middle, 3 and 4)

7/2 = 3.5

High School:

1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4 (Take the average of the two points in the middle, 2 and 2)

4/2 = 2

Most of the points in the middle school plot are four or less.

A (High school students had more variation.)


Help plzzzzz
Fill in the table for the function
y=-2x + 10

Answers

Answer:

16, 10, 0

You plug in the x into the function

Jacob did the following calculations, please explain the error if any. (2-3i)2 = (2-3i)(2-3i) = 4-6i-6i+9i2 = 9i2-12i+4

Answers

There is no error, Jacob expand the equation correctly but can go a step further knowing that i^2=-1 so they would have 4-12i+9(-1)=4-12i-9=-5-12i

calculate the surface area of the cylinder.


A. 351.9 cm²
B. 500 cm³
C. 140.4 cm²
D 301.7 cm²​

Answers

method for SA of cylinder=
2 x pi x r x h + 2 x pi x r^2


SA = 2 x pi x 4 x 10 + 2 x pi x 4^2

= 351.9 cm^2

Hope this helps!!

a)
Estimate the probability that on the next roll the score will be 4.
b)
If the dice is rolled 400 times, about how many 2s would you expect to get?​

Answers

Answer:

a) 1/10

b) 110

Step-by-step explanation:

A) we start by getting the total number of rolls

That would be;

11 + 22 + 7 + 8 + 13 + 19 = 80

The frequency of getting a 4 is 8

The probability that the next roll will be a 4 is;

8/80 = 1/10

b) Firstly, we get the probability of getting a 2

We have this as:

22/80

So for 400 rolls, the number of 2’s will be;

22/80 * 400

= 22 * 5 = 110

The winner of a basketball contest is the individual who scores the highest percentage of free throws. The too three finishers are contestants A, B, and C. Contestant A made 85% of her free throws, contestant B made 0.88 of his free throws, and contestant C made 21/25 of his free throws. Graph in inequality that represents the possible percentages (in decimal form) of free throws made by the other contestants in the competition. (Assume there are no ties.)

Answers

Answer:

Step-by-step explanation:

Less than 0.84

Step-by-step explanation:

   Convert all numbers to decimals

   85% --> 0.85

   0.88 --> 0.88

   21/25 --> 0.84

Since these are the top three, the rest of the competitors are less than 0.84.

30000 at 8% per year for 10 months equals to

Answers

Answer:

2000

Step-by-step explanation:

S.I=P×rate / 100×time

30000×8 / 100×5/6

=2000

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