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=?](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/xkiGO8TLAB8ARErVG8QcLkUur5tCAhgX.png)
Answers
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
plz help I give 50 points
Answers
Write the following as a sum, using powers of 10 to show place value? 0.739
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Pls help me, is for my gf
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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
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.
Part E
What is the volume of the fish tank? Use the formula V =lxw x h
Answers
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
What is the distance between the points (4,9) and (1,3)?
Answers
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:
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Por favor ayúdeme es para hoy :(
Answers
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 3Answer:7x+6=6x-3
Step-by-step explanation:
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
Factorise 18a²y - 27ay?
Answers
Answer:
Factorise 18a²y - 27ay
=9ay(2a-3)
Step-by-step explanation:
9ay(2a-3)
hope it is helpful to you
Help me and I’ll give you brainliest
Answers
Answer:
49
Step-by-step explanation:
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
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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
[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
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
please help ASAPPPPP
Answers
Answer:
Maby b the 2 secoend awnser
Step-by-step explanation:
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
What is the area of a rectangle with 4 1/3 length and 2 1/2 width?
Answers
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
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)
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
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
see image for question
Answers
Answer:
the correct option is " A= 5t+100 ".
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
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.
ratio of 25cm to 40cm
Answers
5:8
is the ratio .he she and shd
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:
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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.
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:
Which value is NOT a solution of x^3 + 64 = 0