Please help !
Find a.
Round to the nearest tenth:
27 cm
102
28
a = [? ]cm
Law of Sines: sin A
sin C
sin B
b
a
A=?

Please Help !Find A.Round To The Nearest Tenth:27 Cm10228a = [? ]cmLaw Of Sines: Sin Asin Csin BbaA=?

Answers

Answer 1

Given:

In the given triangle the measure of two angles are 102 degree and 28 degrees and the sides of the triangle are a, 27 cm, c.

To find:

The value of a.

Solution:

Let the given triangle be ABC, such that,

[tex]m\angle B=28^\circ[/tex]

[tex]m\angle C=102^\circ[/tex]

[tex]b=27\ cm[/tex]

Using angle sum property of triangles, we get

[tex]m\angle A+m\angle B+m\angle C=180^\circ[/tex]

[tex]m\angle A+28^\circ+102^\circ=180^\circ[/tex]

[tex]m\angle A=180^\circ-28^\circ-102^\circ[/tex]

[tex]m\angle A=50^\circ[/tex]

According to the Law of Sines:

[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b}[/tex]

[tex]\dfrac{\sin 50^\circ }{a}=\dfrac{\sin 28^\circ }{27}[/tex]

[tex]\dfrac{27\times \sin 50^\circ }{\sin 28^\circ}=a[/tex]

[tex]\dfrac{27\times \sin 50^\circ }{\sin 28^\circ}=a[/tex]

[tex]a\approx 44.06[/tex]

Therefore, the value of a is about 44.06 cm.


Related Questions

You decide to take your car on a drive through Canada, where gas is sold in liters and distances are measured in kilometers. Suppose your car's gas efficiency is 23.0 mi/gal. How many liters of gas will you need to complete a 495 km trip? Use the conversions 1 gal = 3.78 L and 1 km = 0.6214 mi.

Answers

Answer:

You will need 50.54 liters of gas.

Step-by-step explanation:

This question is solved by proportions.

495km trip:

The gas efficiency is given in miles per gallon, so we need to find the number of miles traveled.

Each km has 0.6214 mi, so 495 km will be 495*0.6214 = 307.593mi.

Number of gallons:

23.0 mi/gal.

So for 307.593mi, the number of gallons is 307.593/23 = 13.37 gallons.

How many liters?

Each gallon has 3.78 liters.

So 13.37 gallons will have 13.37*3.78 = 50.54 liters.

The perimeter of the kite is 134 cm. Find the value of x.

Answers

Answer:

x = 10 cm

Step-by-step explanation:

(3x + 2) + (3x + 2) + (4x - 5) + (4x - 5) = 134 cm

combine like terms:

14x - 6 = 134

add 6 to each side of the equation:

14x = 140

divide both sides by 14:

x = 10

What is the value of n in the equation

Answers

Answer:

n = 2

Step-by-step explanation:

Solve this like you would for an Algebra problem :)

[tex]3n + 1.4n = 8.8\\4.4n = 8.8\\n = 2[/tex]

Answer:

n = 2

Step-by-step explanation:

3n + 1.4n = 8.8

       4.4n = 8.8

            n = 8.8 / 4.4

            n = 2

GIVE BRAINLIEST!!!!

hope this helped,

-cheesetoasty

Por favor ayúdeme es para hoy :(

Answers

Didn’t get it. What’s this??!

In order to solve for the variable in the equation 2 (x + 3) + 5 x = 3 (2 x minus 1), Jaleesa begins by applying the distributive property, then combines like terms. Which equation is the result of these steps?
7 x + 6 = 6 x minus 3
2 x + 6 + 5 x = 6 x minus 3
2 x + 3 + 5 x = 6 x minus 1
7 x + 3 = 6 x minus 1

Answers

Answer: 7 x + 6 = 6 x minus 3

Step-by-step explanation:

2 (x + 3) + 5 x = 3 (2 x minus 1)Now you distribute.2(x) + 2(3) = 2x+6And 3(2x) minus 3(1) = 6x minus 32x+6+5x = 6x minus 3Then combine like terms2x +5x=7x and there are no other like terms on either side of the equation.7x+6= 6x minus 3

Answer:7x+6=6x-3

Step-by-step explanation:


Part E
What is the volume of the fish tank? Use the formula V =lxw x h

Answers

It’s pretty simple :)
All you have to do is take the width 1/6 times it by the length 1/2 and then times that by the height 1/3 and that gets you 1/36yd^2

f(x) = 6x + x 2 I have to find the x-intercept

Answers

Answer:

x= -6,0

Step-by-step explanation:

y=6x + x²

at x intercept, y=0

0= 6x +x²

-6x=x²

therefore,

x=0, x=-6

Which value is NOT a solution of x^3 + 64 = 0

Answers

Hi can we see the choicest

Pls help me, is for my gf

Answers

Answer:

tell ur gf good luck because what this is

also no hablo español

Answer:

x-bar, the average between all the values, x1+x2+x3/3

plz help I give 50 points

Answers

The answer is 30 hope this helps

500 ft of wire costs 18.44 total. What is the cost per foot?

Answers

Answer:

.03688$ per square foot.

Step-by-step explanation:

18.44 / 500 equals .03688.

Hope that this helps!

Answer:

$0.03688/ft

Step-by-step explanation:

$18.44/(500 ft) = $0.03688/ft

evaluate the math problem ​

Answers

Answer:

6

Step-by-step explanation:

square root of 144 is 12, square root of 4 is 2, square root of 16 is 4. SO your equation is now 12x 2 divided by 4. 12 times 2 is 24. Then divide 24 by 4 and you get 6. Therfore, your answer is 6.

What is the area of a rectangle with 4 1/3 length and 2 1/2 width?

Answers

2 would be the answer too this question

Lisa is building a structure to be used in the school play. The structure is in the shape of a right triangular prism.A sketch is shown.Lisa will paint outside of the entire structure after building it.What is the area Lisa will paint.Be sure to include the units label.​

Answers

Answer:

36.6

Step-by-step explanation:

The amount of area Lisa will paint is 288 square inches.

What is area ?

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

here, we have,

to determine the area Lisa will paint:

From the question, we have the following parameters that can be used in our computation:

Triangular prisms (1) to (6)

The area Lisa will paint is the literal surface of the shape

Using the above as a guide, we have the following:

Literal Area = (a + b + c) * h

Where

a, b and c = 6, 8 and 10

h = 12

Substitute the known values in the above equation, so, we have the following representation

Literal Area = (6 + 8 + 10) * 12

Evaluate

Literal Area = 288

The above is the literal surface area of the prism

Read more about surface areas at

brainly.com/question/26403859

#SPJ2

i need help with these problems, thanks

Answers

1.  C

2.  A

3. B

Hope This Helped!

(Brainliest will be appreciated)

Answer:

1- distributive property

2- Subtraction.

3- -3/2

Step-by-step explanation:

1- When the given equation is given, the 4 outside the parenthesis multiplied with the variable x and number 1. This process of multiplication between a number and all the variables in parenthesis is called known as the distributive property.

2- As it was adding with 2x on the left side when it passed with Inverse Operation to the right side, its sign change to subtraction.

3- The 2 passes to the other side of the equation with Inverse Operation, therefore dividing. The -3, otherwise, as it didn't move to the other side, has no effect and remains the negative.

please help ASAPPPPP

Answers

Answer:

Maby b the 2 secoend awnser

Step-by-step explanation:

Volume: Question 4
Find the volume of the square pyramid if the area of the base is 48 cm2
and the height is 8 cm.

Answers

Step-by-step explanation:

[tex]volume = l \times b \times h \\ area =l \times b \\ so \: if \: area \: = 48 \: that \: means \: \\ volume \: = 48 \times 8 = {384cm}^{3} [/tex]

Answer:

Step-by-step explanation:

36 - 4

Step-by-step explanation:

(6x - 2)(6x + 2)

= (6x)(6x) + (6x)(-2) + (2)(6x) + (-2)(2)

= 36 - 12x + 12x - 4

= 36 - 4

NEED HELP ASAP PLEASE!
WILL GIVE BRAINLIEST

Find the sales tax.

I need a explanation on how you got the answer. So justify your answer please.

Answers

Answer: $1.85

Step-by-step explanation: 21.55+2.25+3.89+1.95=29.64

29.64*(.0625)=1.8525

$1.85

29.64*(1.0625)=31.4925

$31.49

$31.49-$1.85=$29.64

Write the following as a sum, using powers of 10 to show place value? 0.739

Answers

If your talking about raising 0.739 to the tenth power then it’s 0.04857853

A cereal company makes a cereal from two ingredients: wheat and oats. Each ingredient provides two essential nutrients: vitamin A and vitamin B. The company wants to know how many ounces of wheat and oats to include in each box of cereal so that the minimum requirements of 48 milligrams of vitamin A and 20 milligrams of vitamin B are satisfied. An ounce of wheat provides 10.5 milligrams of vitamin A and 2.4 milligrams of vitamin B. An ounce of oats provides 6 milligrams of vitamin A and 1.8 milligram of vitamin B. An ounce of wheat costs $0.05 and an ounce of oats costs $0.10. The company wants to minimize the total cost of production.
Find the solution to this problem using the Simplex method.

Answers

Answer:

z (min ) = 0.4167    $

x = 8,33 oz

y = 0

Step-by-step explanation:

Table:

                              Vitamin A        Vitamin B         Cost $/oz

Wheat  (x)                10.5                    2.4                   0.05          

Oats     (y)                 6                       1.8                    0.10          

Requirements           48 (mg)              20 (mg)

Requirements           1,693 (oz)           0,7054 (oz)

The problem is minimized z subject to two constraint

z  =  0.05*x  + 0.1*y   to minimize

Subject to:

Requirement  of  Vitamin A

10.5*x + 6 * y  ≥  48

Requirement  of  Vitamin B

2.4*x   + 1.8*y ≥  20

x≥0  y≥0

Using  the on-line solver AtomZmaths and after 3 iterations the solution is:

z (min ) = 0.4167    $

x = 8,33 oz

y = 0

ratio of 25cm to 40cm

Answers

5:8

is the ratio .he she and shd

Help me and I’ll give you brainliest

Answers

Answer:

49

Step-by-step explanation:

A cylinder has a volume of 308 cubic inches and a height of 8 inches.What is the radius of the cylinder?Usr 3.14 for pie round to the nearest tenth of a unit

Answers

Answer: 3.5 inches

Step-by-step explanation:

Factorise 18a²y - 27ay?

Answers

Answer:

Factorise 18a²y - 27ay

=9ay(2a-3)

Step-by-step explanation:

9ay(2a-3)

hope it is helpful to you

Helppp !!!!?Match the terms to their definition.
1.
numerical data
2. mode
the sum of a set of data divided by
the number of items in the set
the most frequently occurring
number(s) in a data set
any possible results of an
experiment
a graph showing frequency of data
on a number line
the middle value of a set of data
3. median
4. mean
5. sample space
6. probability
arranged in numerical order
the difference between the largest
and smallest data points
an organized listing of all possible
7. range
outcomes for an experiment
data represented by quantities
8. outcome
a measure of the likelihood of an
0
line plot
eveni

Answers

Answer:

I'm gonna arrange the numbers according to the answer

4

2

8

9

3

7

5

1

6

What is the distance between the points (4,9) and (1,3)?

Answers

the distance between 4 and 1 is 3 and the distance between 9 and 3 is 6.
your teacher might make you right these as negatives because they are being subtracted, not sure though

The distance between 4 and 1 is 3 and the distance between 9 and 3 is 6.

We have given the points (4,9) and (1,3).

What is the distance between two points?

Distance between two points is the length of the line segment that connects the two given points.

Distance between two points in coordinate geometry can be calculated by finding the length of the line segment joining the given coordinates.

your teacher might make you right these as negatives because they are being subtracted, not sure though.

Therefore, The distance between 4 and 1 is 3 and the distance between 9 and 3 is 6.

To learn more about the distance visit:

https://brainly.com/question/1982296

#SPJ2

see image for question

Answers

Answer:

the correct option is " A= 5t+100 ".

The quadratic equation y = -16t^2 + 4t + 2 represents a moving object's trajectory where y is the object's height in feet above the ground after t seconds. At what time will the object hit the ground?
a.) 2 seconds

b.) 0.25 seconds

c.) 0.5 seconds

d.) 1 second

Answers

Answer:

c. o.5seconds

Step-by-step explanation:

y=-16t^2 +4t+2

=-2(8t^2 -2t-1)

=-2(8t^2 -4t+2t-1)

as the object hits the ground y =0

0 =-2(4t+1)(2t-1)

(4t+1)(2t-1)=0

t=-1/4 meangless

t=1/2

=0.5seconds

The time at which the object hit the ground is 0.5 second.

The correct option is (C).

What is Quadratic Equation?

A quadratic equation is a second-order polynomial equation in a single variable x, ax²+bx+c=0. with a ≠ 0 .

Given:

y= -16t² +4t+2

Now, the time at which the object hit the ground

y = 0

-16t² +4t+2 = 0

-2(8t² -2t-1) = 0

8t² -2t-1 = 0

8t² -4t + 2t -1 = 0

(4t+1)(2t-1) = 0

So, 4t+ 1= 0 or 2t- 1=0

t= -1/4 or t = 1/2.

Hence, the object will hit the ground at t= 0.5 second.

Learn more about Quadratic Equation here:

https://brainly.com/question/30098550

#SPJ2

Find the surface area

Answers

Answer:

144

Step-by-step explanation:

Surface Area is the area of every side.

Top and bottom:  6*8/2=24 (area of a triangle)

small side: 6*4=24

medium side: 4*8=32

large side: 4*10=40

So answer 24+24+24+32+40=144

Have a Great Day! (This is my first answer)


[tex] \frac{5}{8} \div 6[/tex]
I need it in a fraction and a decimal in the simplest form

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]

[tex] \frac{5}{{8}{} } \div 6 = \frac{5}{48} [/tex]

=0.104166=0.1 is your answer

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