The triangle solve for B = 36°, a = 41, c = 20 is:
b ≈ 27.5, C ≈ 115.5, A ≈ 28.5
TriangleTo solve the triangle, we can use the Law of Cosines, which states that for any triangle with sides a, b, and c and angles A, B, and C opposite those sides,
c² = a² + b² - 2ab cos(C)
We can use this formula to find the length of the missing side b:
b² = a² + c² - 2ac cos(B)
b² = 41² + 20² - 2(41)(20) cos(36°)
b² ≈ 1074.12
b ≈ 32.8
Now that we have found the length of side b, we can use the Law of Sines to find the measures of angles A and C:
sin(A) / a = sin(B) / b
sin(A) / 41 = sin(36°) / 32.8
sin(A) ≈ 0.274
A ≈ 16.5°
We know that the angles in a triangle add up to 180°, so C = 180° - A - B ≈ 127.5°.
The closest choice to these values is:
b ≈ 27.5, C ≈ 115.5, A ≈ 28.5
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PLEASE HELP THIS IS DUE TODAY
Area A: 6
Area B: 18
Area C: 3
Area D: 4
Area E: 2
Answer:
a) [tex]1\,cm^{2}[/tex] is [tex]\frac{1}{6}[/tex] of area A.
b) [tex]1\,cm^{2}[/tex] is [tex]\frac{1}{18}[/tex] of area B.
c) [tex]1\,cm^{2}[/tex] of [tex]\frac{1}{3}[/tex] of area C.
d) [tex]1\,cm^{2}[/tex] of [tex]\frac{1}{4}[/tex] of area D.
e) [tex]1\,cm^{2}[/tex] of [tex]\frac{1}{2}[/tex] of area E.
Step-by-step explanation:
According to stament, the area A is 6 square centimeters, the area B is 18 square centimeters, the area C is 3 square centimeters, the area D is 4 square centimeters and the area E is 2 square centimeters.
The purpose of this exercise is determine all ratios associated with each area, defined as a given area divided by the total area. Then, we proceed to determine each result:
([tex]A_{given} = 1\,cm^{2}[/tex], [tex]A_{A} = 6\,cm^{2}[/tex], [tex]A_{B} = 18\,cm^{2}[/tex], [tex]A_{C} = 3\,cm^{2}[/tex], [tex]A_{D} = 4\,cm^{2}[/tex], [tex]A_{E} = 2\,cm^{2}[/tex])
[tex]r_{A} = \frac{1\,cm^{2}}{6\,cm^{2}}[/tex]
[tex]r_{A} = \frac{1}{6}[/tex]
[tex]r_{B} = \frac{1\,cm^{2}}{18\,cm^{2}}[/tex]
[tex]r_{B} = \frac{1}{18}[/tex]
[tex]r_{C} = \frac{1\,cm^{2}}{3\,cm^{2}}[/tex]
[tex]r_{C} = \frac{1}{3}[/tex]
[tex]r_{D} = \frac{1\,cm^{2}}{4\,cm^{2}}[/tex]
[tex]r_{D} = \frac{1}{4}[/tex]
[tex]r_{E} = \frac{1\,cm^{2}}{2\,cm^{2}}[/tex]
[tex]r_{E} = \frac{1}{2}[/tex]
a) [tex]1\,cm^{2}[/tex] is [tex]\frac{1}{6}[/tex] of area A.
b) [tex]1\,cm^{2}[/tex] is [tex]\frac{1}{18}[/tex] of area B.
c) [tex]1\,cm^{2}[/tex] of [tex]\frac{1}{3}[/tex] of area C.
d) [tex]1\,cm^{2}[/tex] of [tex]\frac{1}{4}[/tex] of area D.
e) [tex]1\,cm^{2}[/tex] of [tex]\frac{1}{2}[/tex] of area E.
The basic ratio of blue to red for paint is 4:7. How many quarts of blue paint should be mixed with 21 quarts of red paint to get purple?
Find the equation of a line that passes through (2,9) and is parallel to the graph of y=3x+5 Write the equation in slope-intercept form, if possible.
Answer:
y=3x+3
Step-by-step explanation:
9=3(2)+c
9=6+c
c=3
Help me, please! Look at the screenshot below!
Answer: the answer is B
Step-by-step explanation:
The x axis cannot have the same number. -2 and -2 are the same so you would have to replace one of them with a different number that is not used in the x axis.
Which phrase represents the meaning of the symbol Less-than?
less than
equal to
take away
greater than
Answer:
less - than is the answer
hope it helps you
Answer:
a
Step-by-step explanation:
-edge 2021
What is the value of 5^2+0.8^2
Answer:
5^2=25 and 0.8^2= 0.64
Step-by-step explanation:
soo 25+0.64 equals..... 25.64!!!
Brian invests £4000 into his bank account.
He receives 7% per year compound interest.
How many years will it take for Brian to have more than £8000?
Answer:
14 years
Step-by-step explanation:
£280 is 7% of 4000 so £4000 euro more would be 4000/280 = 14
Pls help
Simplify the logarithmic expression
9514 1404 393
Answer:
log₁₂(4)
Step-by-step explanation:
The applicable rule of logarithms (to the same base) is ...
log(a^b) = b·log(a)
__
Then the expression simplifies as follows:
[tex]3\log_{12}(2)+\dfrac{1}{3}\log_{12}(2^3)-\log_{12}(2^2)\\\\=3\log_{12}(2)+\dfrac{3}{3}\log_{12}(2)-2\log_{12}(2)=(3+1-2)\log_{12}(2)\\\\=2\log_{12}(2)=\log_{12}(2^2)=\boxed{\log_{12}(4)}[/tex]
A group of friends wants to go to the amusement park. They have $94.25 to
spend on parking and admission. Parking is $14.75, and tickets cost $13.25
per person, including tax. Write and solve an equation which can be used to
determine p, the number of people who can go to the amusement park.
Answer:
1) The equation to determine the the number of people who can go to the amusement park is 14.75 + 13.25·p = 94.25
2) The number of people who can go to the amusement park is people
Step-by-step explanation:
The given parameters are;
The amount the group of friends have to spend on parking and admission = $94.25
The cost parking = $14.75
The cost of tickets per person = $13.25
The variable we let to represent the number of people who can go to the amusement park be "p"
1) The equation that can be used to determine "p" is therefore, given as follows;
14.75 + 13.25·p = 94.25
2) Therefore, we have, by making "p" the subject of the above equation;
p = (94.25 - 14.75)/13.25 = 6
Therefore, the number of people who can go to the amusement park, p = 6 people.
Answer:
Answer: 6
Step-by-step explanation:
Equation: 13.25p+14.75=94.25
Twice the difference of a number and 4 is 3.
PLEASE HELP I will give Brainly to however gets it right. Miguel's irrigation tank for his large garden had 15.5 gallons of water before he began to
fill it at a rate of 1.4 gallons per minute.
Alejandro checked his irrigation tank and found it contained 45.5 gallons, before he
began draining his tank at a rate of 0.6 gallons per minute.
After how many minutes will the two irrigation water tanks have the same amount of
water?
Answer:
It will take 50 minutes.
Step-by-step explanation:
Because if you are trying to get 45.5 to 15.5 you need to drain 30 gallons of water, and to do that it will take 50 minutes because 0.6*50=30.
Hope this helps!
Pls mark brainliest if it is correct
Please help heres some points!
Answer:
tooth A
Step-by-step explanation:
0.23 = 0.230
0.230 > 0.195
Answer:
a
Step-by-step explanation:
(-10,-7) (-8,1) find the distance between the two points show work.
Answer:
8.25
Step-by-step explanation:
(-10,-7) (-8,1) find the distance between the two points show work.
The formula for calculating the distance between the two points is expresses as;
D = √(x2-x1)²+(y2-y1)²
D = √(-8+10)²+(1+7)²
D = √(2)²+8²
D = √4+64
D = √68
D = 8.25
Hence the distance between the two points is 8.25
Need a little help here.
Answer:
sorry i will answer if you make me branlyist
Step-by-step explanation:
GIVING OUT BRAINLEST!!
Enter the range of values for x
Answer:
I need help w this question to answer it plz!
Answer:
Step-by-step explanation:
You will need to add a picture
-8 + 70/-7 = ?
Evaluate?
Answer:
-18
Step-by-step explanation:
-8 + 70/-7
-8 - 10
-18
??????????????????????????????
What does the Pythagorean theorem state?
Answer:
Step-by-step explanation:
Pythagorean theorem state that
Hypotenuse² = altitude² + base²
Pythagoras theorem states that square of hypotenuse of a right angled triangle is equal to the sum of squares of base and altitude of that triangle.
Hypotenuse² = Base² + Altitude ²
For the equation, decide if it is always true or never true.
2(x + 3) = 5x + 6 − 3x
Answer:
always true
Step-by-step explanation:
Given
2(x + 3) = 5x + 6 - 3x ← distribute left side
2x + 6 = 2x + 6
Since both sides are equal then any real value of x is a solution.
Thus the equation is always true
pls help meh on this ty u get brian
Answer:
2 to the power of 7
Step-by-step explanation:
Since base equal base then subtract the powers
12-5 =7
6-x=5x+30
I need help understand this problem step by step
6
−
x
=
5
x
+
30
6
-
x
=
5
x
+
30
Move all terms containing
x
x
to the left side of the equation.
Tap for more steps...
6
−
6
x
=
30
6
-
6
x
=
30
Move all terms not containing
x
x
to the right side of the equation.
Tap for more steps...
−6x=24-6x= 24 Divide each term by −6-6 and simplify. x=−4
Christopher got a raise, and his hourly wage increased from $12 to $15, What is the percent
increase?
Translate the following phrase into an expression: “An unknown number increased by ten”
Answer:
n + 10
Step-by-step explanation:
We can substitute unknown number with any variable, such as n, and substitute increased by ten with + 10, because we are adding 10. Therefore, the answer is n + 10.
Examine the following diagram: 2 lines intersect to form 4 angles. From the top, clockwise, the angles are 1, 4, 2, 3. Which statement is not true of the given diagram? m∠2 + m∠3 = 180° m∠2 + m∠4 = 180° ∠3 and ∠4 are vertical angles ∠2 ≅ ∠4
Answer:
The answer is D on edg 2020
Step-by-step explanation:
brainliest plz
Answer:
Its D
Step-by-step explanation:
∠2 ≅ ∠4
Math. Help I really need this giving brainliest to the person with the correct answer, please explain your answer....
Answer:
A.v
V for volume
I hope this helps:
Answer:
he is right v
Step-by-step explanation:
v is the common variable for volume
Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Answer:
[tex]\boxed {\boxed {\sf 1. \ 20 }}[/tex]
Step-by-step explanation:
An equilateral triangle has 3 equal sides and angles. Remember that equilateral sounds like equal.
The interior angles of a triangle must equal 180 degrees.
All 3 angles are the same.180/3= 60 All 3 angles in an equilateral triangle equal 60 degrees.The question tells us the angle is equal to (4x-20).
∠= 60°∠= (4x-20)°So, by substitution, we can set 60 and (4x-20) equal to each other.
[tex]60=4x-20[/tex]
Now, solve for x by isolating the variable on one side of the equation.
20 is being subtracted from 4x and the inverse operation of subtraction is addition. Add 20 to both sides of the equation.
[tex]20+60=4x-20+20 \\ 20+60=4x\\80=4x[/tex]
x is being multiplied by 4. The inverse operation of multiplication is division. Divide both sides of the equation by 4.
[tex]\frac{80}{4}=\frac{4x}{4}[/tex]
[tex]\frac{80}{4}=x \\\ 20=x[/tex]
x is equal to 20 and choice 1 is correct.
Simon is creating the clay structure shown below. Simon has boxes of clay that each contain 200 of clay. How many boxes of clay does Simon need to open to make the sculpture? A. 3 B. 4 C. 5 D. 6
Answer:
D.6
Step-by-step explanation:
please help it is due at 4:15
Answer:
$2720
Step-by-step explanation:
Interest = P×R×T /100
= 2000×12×3 /100
=72000/100 = $720
Amount = Principal + Interest
= $2000+$720 =$2720
A water taxi travels around an island in a path that can be modeled by the equation y=0.5(x-14)^2 . A water skier is skiing along a path that begins at the point (6,4) and ends at the point (8,4)
Write a system of equations to model the problem.
Is it possible that the water skier could collide with the taxi? Explain
Answer:
A water taxi travels around an island in a path that can be modeled by the equation y =0.5(x - 16). A water skier is skiing along a path that begins at the point (6,6) and ends at the point (8. - 4).
a. Write a system of equations to model the problem.
b. Is it possible that the water skier could collide with the taxi? Explain
Step-by-step explanation:
I NEED HELP PLEASE ANSWER
Answer:
C
Step-by-step explanation:
