Answers
Answer:
We know the angle given refers to the length of the opposite side.
Given angle = 82 and the opposite side = 34 so part of the relationship is
sin 82 / 34 = sin ( ) / ( )
We are also given one side = 27 and that side is opposite angle at C
so that part of the relationship is sin C / 27
sin 82 / 34 = sin C / 27
A true relationship based on the Law of Sines was found in the given triangle.
In the given triangle
∠A=82°
Length of side in front of ∠A = 34
Length of side in front of ∠C = 27
What is sine law?According to sine law, in a triangle, ABC, if the sides in front of ∠A, ∠B, ∠C are a, b, c respectively then
[tex]\frac{SinA}{a} =\frac{SinB}{b} =\frac{SinC}{c}[/tex]
According to the sine law, the sides in front of angle A and angle C are 34 and 27 respectively.
So, [tex]\frac{Sin82}{34} =\frac{SinC}{27}[/tex]
Hence, a true relationship based on the Law of Sines was found in the given triangle.
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Related Questions
Find arc length for QT
Answers
Step-by-step explanation:
arc length for QT = 2× 71° = 142°
Pls help !! Will give brainliest
Answers
Answer:
the first one (25x + 30y is less than or equal to 100)
Step-by-step explanation:
money for clothing set x amount of sets plus pairs of shoes has to be less than or equal to 100 dollars.
Find the circumference and area of the circle. Use 3.14 for it. Round to the nearest hundredth it
7 m
The circumference of the circle is about
The area of the circle is about
m.
Answers
Step-by-step explanation:
hope this helped you :)) !!
What is the slope of the line y = 6x + 3?
3
-6
6
-3
Answers
Answer:
the answer is 6
Step-by-step explanation:
slope = m
y = mx + c
m = 6
which is equivalent to 2/9
Answers
Answer:
4/18 is equivalent to 2/9
Somebody please help it would be much appreciated.
Answers
Answer:
25
Step-by-step explanation:
as you can see test a is further away from the ruler you have to put it at 0 so that you can get your answer I am not sure if it's correct or not
Answer:
Step-by-step explanation:
Find the volume round to the nearest hundredth
Answers
Answer:
333.67
Step-by-step explanation:
trust
Problem Set
1. A 5-liter cleaning solution contains 30% bleach. A 3-liter cleaning solution contains 50%
bleach. What percent of bleach is obtained by putting the two mixtures together?
Answers
5 liters (L) of 30% bleach solution contains 0.3×(5 L) = 1.5 L of bleach.
3 L of 50% bleach contains 0.5×(3 L) = 1.5 L of bleach, too.
Combined, you would have 8 L of solution containing 1.5 L + 1.5 L = 3 L of bleach, so the concentration of bleach is
(3 L) / (8 L) = 0.375 = 37.5%
I need Answer Immediately!!!!!!!!!
Answers
Answer:
the equation is x-6
pls mark me as brainliest
Solve the equation f/2 +9=4 how can you isolate the variable F 
Answers
Answer:
F= -2.5
Step-by-step explanation:
divide both sides by two in order to isolate f.
by dividing by 2 on the left hand side it cancels out the /2 leaving you with only f
then because you divided the left hand side by 2 you need to do the same on the right therefore giving you -5/2 which equals -2.5
The value of f in the equation is -10.
What is a Variable?'In mathematics, a variable is a symbol and placeholder for a quantity that may change. In particular, a variable may represent a number, a vector, a matrix, a function, the argument of a function, a set, or an element of a set.'
According to the given problem,
First we need to isolate the variable f:
⇒ [tex]\frac{f}{2}+ 9 = 4[/tex]
Now, transposing 9 to the right hand side,
⇒ [tex]\frac{f}{2}[/tex] = 4 - 9
⇒ [tex]\frac{f}{2} = -5[/tex]
⇒ f= ( -5 * 2 )
⇒ f= -10
Hence, the required value of the variable f is -10.
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An amusement park had 56,437 visitors the first year and 48,319 visitors the second year it was open. What was the total number of visitors for both years?
Answers
Answer:
104,758
Step-by-step explanation:
Condense (cos92°)(cos133°)-(sin92°)(sin133°) into a singular trigonometric function expression, then find the exact value.
Answers
Answer:
-1/√2
Step-by-step explanation:
According to trigonometry identity
cos(A+B) = cosAcosB - sinA sinB
Given the expression
(cos92°)(cos133°)-(sin92°)(sin133°)
This can be expressed as cos(92+133) where A = 92, B = 133
(cos92°)(cos133°)-(sin92°)(sin133°)
= cos(92+133)
= cos225
= -0.7071
= -1/√2
Hence the exact value is -1/√2
true or false: when multiplying radicals, you multiply the radicands together and the numbers outside the radicals together
Answers
James invests some money into an account that pays 4% compounded annually. If the account has $851.66 after 5 years, how much did he originally invest?
Answers
Answer:
the third option, "what number, when added to negative four, is equal to negative five?"
Step-by-step explanation:
"what number, when added to negative four, is equal to negative five?" can be expressed as g + (- 4) = - 5, which is the same as in the equation.
i hope this helps! :D comment if you need any clarification.
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
A
Step-by-step explanation:
120 is the starting value, aka the price of the painting in 2014 before it is increased.
I need some help finding the volume of a sphere with a diameter of 18.6cm. The website says the answer I got from my calculator was wrong! Help would be greatly appreciated!
Answers
Answer:
V ≈ 3367.6 cm³
Step-by-step explanation:
The volume (V) of a sphere is calculated as
V = [tex]\frac{4}{3}[/tex] πr³ ( r is the radius )
Here D = 18.6 , then r = 18.6 ÷ 2 = 9.3 , so
V = [tex]\frac{4}{3}[/tex] × 3.14 × 9.3³
= [tex]\frac{4}{3}[/tex] × 3.14 × 804.357
= [tex]\frac{4(3.14)(804.357)}{3}[/tex]
≈ 3367.6 cm³ ( to the nearest tenth )
solve for x 1.6 equals 12.8
Answers
Answer: x=14.4
Step-by-step explanation:
omg please help me I don't understand
Answers
Answer:
508sq. cm
Step-by-step explanation:
surface area of a prism = 2(lw + wh + lh)
For the larger prism
Surface area = 2(2*10 + 2 * 12 * 10*12)
Surface area = 2(20+24+120)
Surface area = 2(164)
Surface area = 328sq.cm
For the smaller prism
Surface area = 2(3*6 + 3 * 8 * 6*8)
Surface area = 2(18+24+48)
Surface area = 2(90)
Surface area = 180 sq.cm
Surface area of the figure = 328 + 180
Surface area of the figure = 508sq. cm
I need an Answer Immediately,pls!!!!!!
Answers
Answer:
See below.
Step-by-step explanation:
[tex]41.5 + 5x = 52.5\\5x = 11\\x = 2.2[/tex]
Answer:
41.5+5x=52.55x=11x=2.2
Can someone please help? The question is in the picture.
Answers
===========================================================
Explanation:
The diagram shows that PT = 4 and QR = 5. Since QR is a radius of the circle, this means that the other radii segments TR and RS are also 5 units long.
Note how PR = PT+TR = 4+5 = 9, and how this segment is the hypotenuse for the right triangles PQR and PRS.
Picking either triangle, we have one known leg of 5 units (the radius mentioned earlier) and the other is unknown. The unknown leg is tangent to the circle, and recall that a tangent segment is always perpendicular to the radius at the point of tangency. So that's why we have right triangles.
Apply the pythagorean theorem to find the length of PQ and PS (both are the same length)
a^2 + b^2 = c^2
a^2 + 5^2 = 9^2
a^2 + 25 = 81
a^2 = 81 - 25
a^2 = 56
a = sqrt(56)
a = sqrt(4*14)
a = sqrt(4)*sqrt(14)
a = 2*sqrt(14)
The exact length of PQ and PS is 2*sqrt(14) units.
---------
We have enough to find the perimeter of quadrilateral PQRS. We add up the exterior sides. That means we ignore the interior segment PR.
perimeter = PQ+QR+RS+SP
perimeter = 2*sqrt(14)+5+5+2*sqrt(14)
perimeter = 10+4*sqrt(14)
Answer is choice B
Side note: The expression above approximates to roughly 24.966629
The area of a rectangular classroom is 572 square feet.
If the width of the classroom is 22 feet, what is the
length?
Answers
Answer: 26 Feet
Hope this helps!
Of the flags in Albert's Flag Shop, 1/10 are pink and another 1/2 are orange. What fraction of the flags are either pink or orange?
Answers
Answer: 6/10
Step-by-step explanation: The answer is 6/10 because: first you convert the 1/2 to tenths which would be 5/10. Then, you add 1/10 and 5/10 and you get 6/10 of the flags were either pink or orange.
Beth can buy T-shirts in packs of 5 for $5.55 or in packs of 2 for $4.82. How much money does she save by buying 40 T-shirts at a better price?
Answers
Answer:
$52
Step-by-step explanation:
Given data
Beth can buy T-shirts in packs of 5 for $5.55
Cost per shirt
=5.55/5
=$1.11
To buy 40 shirt
=1.11*40
=$44.4
In packs of 2 for $4.82
cost per shirt
=4.82/2
=$2.41
To buy 40 shirt
=2.41*40
=$96.4
Hence the best buy in packs of 5 for $5.55
and the cost per shirt is $1.11
He will save
=96.4-44.4
=$52
Question
Which of the following is equivalent to x2 – 5x + 6?
o (x - 2)(- 3)
o (x - 2)(x+3)
o (x+6)(x - 1)
o (x-6)(x + 1)
Answers
Answer:
Option one (x-2)(x-3)
Step-by-step explanation:
We have x²-5x+6 =0
X²-3x-2x+6=0
X(x-3)-2(x-3)=0
(x-2)(x-3)=0
supplementary angles: look at the attachment to see the question
Answers
Answer:
x = 21
Step-by-step explanation:
21 x 3 = 63 and 63 + 67 = 130 and sense there across from eachother this is correct because vertical angles are always the same measure.
Hope this helps!
is 9e+2(e+5) and 11e+5 equivalent?
Answers
No,
[tex]9e + 2(e + 5) = 11e + 10[/tex]
And 11e + 10 is not equivalent to 11e + 5
Answer:
No, its not.
9e + 2(e+5)
= 9e + 2e + 10
= 11e + 10
---> 9e+2(e+5) when simplified gives 11e + 10.
---> Therefore, its not equal to 11e + 5
Complete the frequency table for the following set of data. You may optionally click a number to shade it out.
5
5,
2
2,
5
5,
2
2,
3
3,
5
5,
1
1,
1
1,
3
3,
1
1,
0
0,
4
4,
4
4,
6
6,
2
2,
1
1,
0
0,
5
5,
4
4,
7
7,
2
2,
3
3,
0
0
Answers
Answer:
0 -> 6 in frquency
1 -> 8 in frequency
2 -> 8 in frequency
3 -> 6 in frequency
4 -> 6 in frequency
5 -> 8 in frequency
6 -> 2 in frequency
7 -> 2 in frequency
Step-by-step explanation:
brainliest plz
What is the radius of a sphere with a volume of 32398 cm, to the nearest tenth of a
centimeter?
Answers
Answer:
21.1cm
Step-by-step explanation:
Hello :)
The volume of a sphere can be found by this equation:
[tex]V=\frac{4}{3} \pi r^3[/tex] where V stands for volume and r stands for the radius in the sphere.
Since the volume is actually given to us and we need to find the radius, we can substitute in the numbers we know, and isolate the variable we are trying to find so we can get a concise answer.
[tex]V=\frac{4}{3} \pi r^3[/tex]
[tex]32398=\frac{4}{3} \pi r^3[/tex]
Now, let's isolate the r variable by dividing 4/3 and pi to the other side.
[tex]\frac{32398}{\frac{4}{3}\pi } =r^3[/tex]
We can get rid of the exponent by square rooting by 3.
[tex]\sqrt[3]{\frac{32398}{\frac{4}{3}\pi}} =r[/tex]
If we plug this into the calculator, the r=21.1
Which means the radius of the sphere is 21.1 cm.
Answer:
21.1 CM
[tex] \: \: \: \: \: \: \: [/tex]
mean, median, mode, and range
23, 24, 24, 25, 26, 27, 28, 29, 30
Answers
Mean- 26.222222222222
Median- 26
Mode- 24
Range- 7
Hope this helped :D
PLZ HELP ME
What is the quadratic regression equation for the data set?
yˆ=−0.175x2−3.786x+121.119
yˆ=−0.175x2+3.786x−121.119
yˆ=−0.175x2+3.786x+121.119
yˆ=−0.175x2−3.786x−121.119
x y
6 100
3 110
10 50
3 90
5 120
15 30
9 70
Answers
Answer:yˆ=−0.175x2−3.786x+121.119
look at picture
Step-by-step explanation:
The quadratic regression equation for the data set is:
y^ = -0.175x²-3.786x+121.119
What is Quadratic Regression Equation?Quadratic regression is the process of determining the equation of a parabola that best fits a set of data. This set of data is a given set of graph points that make up the shape of a parabola. The equation of the parabola is y = ax² + bx + c, where a can never equal zero.
According to the given problem,
Let us choose any value of x,
x = 10
For this value of x we can see that the respective value of y= 50
Substituting the value of x in the equations to see which equation satisfies the value of y as 50.
Substituting the value of x in the equation:
y^ = -0.175x²-3.786x+121.119
y^ = 50
Hence, we can conclude that y^ = 0.175x² - 3.786 + 121.119 is the quadratic regression equation for the given data set.
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