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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Solve for x. Enter the solutions from least to greatest.
(x+15)^2-10=0
Answer:
lesser x = -1.84lesser x = -8.16Step-by-step explanation:
Given the expression
[tex]\left(x+5\right)^2-10=0[/tex]
Add 10 to both sides
[tex]\left(x+5\right)^2-10+10=0+10[/tex]
Simplify
[tex]\left(x+5\right)^2=10[/tex]
[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
solve
[tex]x+5=\sqrt{10}[/tex]
Subtract 5 from both sides
[tex]x+5-5=\sqrt{10}-5[/tex]
[tex]x=\sqrt{10}-5[/tex]
[tex]x=-1.8[/tex]
so
[tex]x+5=-\sqrt{10}[/tex]
Subtract 5 from both sides
[tex]x+5-5=-\sqrt{10}-5[/tex]
Simplify
[tex]x=-\sqrt{10}-5[/tex]
[tex]\:x=-8.2[/tex]
As -1.84 > -8.16
so
lesser x = -1.84lesser x = -8.16Find the measure of the missing angles
help pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer: C. 1 - x
Step-by-step explanation:
1/100 = 0.01
10/100 = 0.1
1 - 100 = -99
10 - 100 = -90
Answer:
C
Step-by-step explanation:
A. 1/100
B. 10/100=1/10
C. 1-100=-99
D. 10-100=-90
56 is 0.4% of what number?
Answer:
140
Step-by-step explanation:
Let the number = x
Hence, the expression can be written has:
0.4 of x = 56
0.4x = 56
Divide both sides by 0.4
0.4x / 0.4 = 56 / 0.4
x = 140
Hence, 56 is 0.4 of 140
solve the proportion 9x=62
Answer: x=6.8
Step-by-step explanation:
I figured it out ;)
Answer:
x=6.889
Step-by-step explanation:
9x=62
x=62/9
x=6.889
Find the sum of 4x^2-4x+104x
2
−4x+10 and 2x^2+5x-82x
2
+5x−8.
The sum of the expression 4x^2-4x+10 and the expression 2x^2+5x-8 is 6x^2+x+2 because the sum of the x^2 term is 6, the sum of the x term is 1, and the sum of the constant term is 2.
What is polynomial?Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
We have:
First expression:
[tex]\rm 4x^2-4x+10[/tex]
Second expression:
[tex]\rm 2x^2+5x-8[/tex]
Let's denote the sum of these two expressions with F(x)
[tex]\rm F(x) = \rm 4x^2-4x+10+\rm 2x^2+5x-8\\\\\\\rm F(x) = 6x^2+x+2[/tex]
Thus, the sum of the expression 4x^2-4x+10 and the expression 2x^2+5x-8 is 6x^2+x+2 because the sum of the x^2 term is 6, the sum of the x term is 1, and the sum of the constant term is 2.
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I really don’t understand these two question plz help
Answer:
1) I would remove the '-2' first by adding '2' to both sides. Technically, it does not matter the order you remove the '5' or '-2' though it would be more of a hassle if you were to remove the number associated w/ a variable as you would do extra steps when there is a possibility to do it in less steps. So, ideally, it does matter but depending on your perspective.
2) You would begin by turning '1' into a fraction that has the same denominator as the fraction it is to be added to. This would get you 7/7. Then, you add 7/7 to 4/7 in order to get your final answer of 11/7. You could also just put the two numerical values together as '1 4/7' but I am inferring they want it in an improper fraction format. The steps to get an improper fraction are ideal since it is the simplest way to get to the final answer.
If you have any more questions please comment them and I will be happy to answer them if I can ^^
someone help PLEASEEEE
Answer:
No. 3: x>_by-c-d/a
Step-by-step explanation:
I'm pretty sure about it
Evaluate the expression when a=−2 and b=3.
ab=
Answer:
ab = -2 * 3 = -6
Step-by-step explanation:
What is the sum of the 16th square number and the 6th square number?
ASAP, I NEED HELP!!!
ILL GIVE YOU 20 POINTS!!!!
PLEASE GIVE ME THE ANSWER AND HOW YOU GOT THE ANSWER
Answer:
B) 37.5 cm squared!
Step-by-step explanation:
First, we know that a triangular prism has 5 faces, so in order to find the surface area of this prism, we must find the area of each face, and then add them together.
Face 1 (Rectangle): 6.5 * 1.5 = 9.75
Face 2 (Rectangle): 6 * 1.5 = 9
Face 3 (Rectangle): 2.5 * 1.5 = 3.75
Face 4 (Triangle): (6 * 2.5)/2 = 6
Face 5 (Triangle): (6 * 2.5)/2 = 6
Now, we add all the areas of the faces together.
9.75 + 9 + 3.75 + 6 + 6 = 37.5
37.5 is the surface area of the whole triangular prism.
Identify the constant of proportionality from the table.
Answer:
A. 9
Step-by-step explanation:
A P E X
help me please!!!!! :D
Answer:
13 or 30
Step-by-step explanation
Practice Pages 69&70
Answer:
Yes, Teacher
Step-by-step explanation
What is (-3,4) (5,-2) in slope intercept form?
Answer:
y=-3/4x+7/4
Step-by-step explanation:
Answer:
I got y = -3/4x + 7/4.
Might be wrong, but I'm pretty sure.
1. You spend $18 on breakfast and tax is 7%. Wha is your total?
Answer:
the answer is $20.33 I hoñe it helps
URGENT!!! PLEASE HELP (30 points !!!)
Use the line tool to graph the equation on the coordinate plane.
y=-3
simplify 5 x a x 5 x a
Answer:
25 a squared
Step-by-step explanation:
please give me a brainliest!!<3
6.
20n = 300
What’s the answer
Answer:
n=15
Step-by-step explanation:
300/20=15
n=15
Answer:
n = 15
Step-by-step explanation:
I took 300 and divided it by 20 to find n.
300 / 20 = 15
To check the answer, I completed this;
20(15) = 300
300 = 300
Hope this helps!
What is the value of 2x + 6 when x = 10?
Please help a girl out
Answer:
26 is the answer :) plz brainliest?
Step-by-step explanation:
2(10) + 6
20+6
26 :)
John is working for his dad during his summer vacation. Complete the rate chart below to find how much money John makes in a certain number of days.
Number of Days 15 18 21 24 27
Total Amount of Money Made (in dollars) 75 ? 105 120 135
A.
70
B.
80
C.
90
D.
105
Answer:
it's answer is C 90
hope it helps you
Answer:
the answer is 90
I hope it helps mate
I will always help you understanding your assingments
enjoy your day
#Captainpower:)
work out the difference between 77.5 and 2.27
77.5-2.27 is equal to 75.23
hope it helps
The difference of our given numbers between 77.5 and 2.27 is 75.23.
What is a polynomial?They are mathematical expressions involving variables raised with non negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non negative exponentiation of variables involved.
We are asked to find the difference between 77.5 and 2.27
Upon converting our given problem as a subtraction problem, we will get:
77.5
- 2.27
Upon subtracting our given numbers, we will get;
77.5
- 2.27
75.23
Therefore, the difference of our given numbers between 77.5 and 2.27 is 75.23.
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What is the original price when the discount is 64% and the sale price is $72
Answer:
$200. had to edit, read the question wrong originally
=======================================================
Work Shown:
If you save 64%, then you still have to pay the remaining 100% - 64% = 36%
x = original price in dollars
sale price = 36% of x = 0.36*x = 72
0.36*x = 72
x = 72/0.36
x = 200
The original price is $200
discount = 64% of 200 = 0.64*200 = 128
You save $128
The amount you pay is 200-128 = 72 dollars, which matches with the given sale price.
if anyone knows please help!!! i'm a bit confused
Answer:
yes
Step-by-step explanation:
In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If
1/4 of the drink is apple juice and
2/5 is orange juice then write the ratio of cranberry juice to apple juice to orange juice in its simplest form
Answer:
[tex]Cranberry:Apple:Orange = 7:5:8[/tex]
Step-by-step explanation:
Given
[tex]Apple = 1/4[/tex]
[tex]Orange = 2/5[/tex]
Required
Determine the ratio of Cranberry to Apple to Orange
First, we calculate the fraction of Cranberry using:
[tex]Cranberry + Apple + Orange = 1[/tex]
Substitute values for Apple and Orange
[tex]Cranberry + 1/4+ 2/5= 1[/tex]
Collect Like Terms
[tex]Cranberry = 1- 1/4- 2/5[/tex]
Take LCM
[tex]Cranberry = \frac{20 - 5 - 8}{20}[/tex]
[tex]Cranberry = \frac{7}{20}[/tex]
The ratio is then represented as:
[tex]Cranberry:Apple:Orange = 7/20:1/4:2/5[/tex]
Multiply through by 20
[tex]Cranberry:Apple:Orange = 20(7/20:1/4:2/5)[/tex]
[tex]Cranberry:Apple:Orange = 20*7/20:20*1/4:20*2/5[/tex]
[tex]Cranberry:Apple:Orange = 7:5:8[/tex]
PLEASE HELP ITS DUE SOONNN
Answer:
Red
Step-by-step explanation:
Bc if you - 8x it would be -2y=12-8x and then you divide -2 by 12 and -8x the answer would be y=4x-6
Answer:
y = 4x - 6
Step-by-step explanation:
8x - 2y = 12
-2y = -8x + 12
-2y/-2 = -8x/-2 + 12/-2
y = 4x - 6
Magda is going to finance her car purchase using an auto loan which statement below is accurate
Answer:
where are the answer choices
Answer:
The statement that is accurate is:
"Her principal is the cost of the car, minus any down payment she makes."
Step-by-step explanation:
write a short math peom
Answer:
roses are red violets are blue 1 + 1 = 2
Step-by-step explanation:
:}
How do you expand and simplify (x-7)(x-8) ?
Answer:
x^2-15x+56
Step-by-step explanation:
(
−
7
)
(
−
8
)
(
−
8
)
−
7
(
−
8
)
Analyze the diagram below and complete the instructions that follow.
Find the value of x.
A. 18
B. 22
C. 24
D. 28
Answer:
A
Step-by-step explanation:
Using Pythagoras' identity on the large right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
(x + 32)² = 30² + 40² = 900 + 1600 = 2500 ( take the square root of both sides)
x + 32 =[tex]\sqrt{2500}[/tex] = 50 ( subtract 32 from both sides )
x = 18 → A