Answers
Answer: 23.7
Step-by-step explanation:
Let's calculate the acute angle at the base of the triangle:
180° - 90° - 40° = 50°
Find side x:
[tex]\dfrac{sin \: 90^{o} }{31} =\dfrac{sin \: 50^{o} }{x}\\\\sin \: 90^{o} \cdot x=sin \: 50^{o} \cdot 31\\\\sin \: 90^{o} =1\\sin \: 50^{o} \approx 0.766\\1 \cdot x =0.766 \cdot 31\\x=23.746\\23.746 \approx 23.7[/tex]
Related Questions
please help!
explain and correct the error in this calculation
Answers
Formúla General
a) 4x²=9x-2=0
b) X²+8x-84=0
Answers
Answer: a) [tex]x=\dfrac{-9 \pm\sqrt{113} }{8}[/tex]
b) x₁ = - 14; x₂ = 6.
Step-by-step explanation:
a) 4x² + 9x - 2 = 0
[tex]x=\dfrac{-b \pm \sqrt{b^{2}-4ac } }{2a} \\\\a=4; \: \: b=9; \: \: c=-2\\x =\dfrac{-9 \pm \sqrt{9^{2}-4 \cdot 4 \cdot (-2) } }{2 \cdot 4} =\dfrac{-9 \pm\sqrt{113} }{8}[/tex]
b) x² + 8x - 84 = 0
[tex]x=\dfrac{-b \pm \sqrt{b^{2}-4ac } }{2a} \\\\a=1; \: \: b=8; \: \: c=-84\\\\x =\dfrac{-8 \pm \sqrt{8^{2}-4 \cdot 1 \cdot (-84) } }{2 \cdot 1} =\dfrac{-8 \pm\sqrt{400} }{2}=\dfrac{-8 \pm 20}{2} =-4 \pm 10\\\\x_{1} =-14\\x_{2} =6[/tex]
work
Determine whether each triangle with sides of given lengths is a right
triangle. Justify your answer. (Example 3)
30 cm, 122 cm, 125 cm
5
Answers
Answer:
It is not.
Step-by-step explanation:
The formula of a right triangle is "[tex]a^{2}+b^{2} =c^{2}[/tex]" where c is the hypothenuse (the longest side of the triangle) if we replace the formula with the values we will get
"[tex]30^{2} +122^{2} =125^{2} \\900 + 14884 = 15625\\15784\neq 15625[/tex]
What is the result when the number 70 is increased by 10%
Answers
Answer:
77.00
Step-by-step explanation:
( 2x^3 + 4x^2 -5x + 11 ) + ( 6x^3 - 9x^2 - 6x + 21 ) - plz
Answers
Answer:
8x^3-5x^2-11x+32
Step-by-step explanation:
Two distinct number cubes, one red and one blue, are rolled together. Each number cube has sides numbered 1 through 6. What is the probability that the outcome of the roll is an even sum or a sum that is a multiple of 3?
Enter your answer, in simplest fraction form, in the box.
Answers
Given: Two distinct number cubes, one red and one blue, are rolled together
To find: probability that the outcome of the roll is an even sum or a sum that is a multiple of 3
Solution:
If two dices are rolled together, possible outcomes are as follows:
(1,1) (1,2)(1,3)(1,4)(1,5)(1,6)
(2,1)(2,2)(2,3)(2,4)(2,5)(2,6)
(3,1)(3,2)(3,3)(3,4)(3,5)(3,6)
(4,1)(4,2)(4,3)(4,4)(4,5)(4,6)
(5,1)(5,2)(5,3)(5,4)(5,5)(5,6)
(6,1)(6,2)(6,3)(6,4)(6,5)(6,6)
So, total number of outcomes = 36
In order to find probability that the outcome of the roll is an even sum or a sum that is a multiple of 3, favourable outcomes are
(1,1) (1,2)(1,3)(1,5)
(2,1)(2,2)(2,4)(2,6)
(3,1)(3,3)(3,5)(3,6)
(4,2)(4,4)(4,5)(4,6)
(5,1)(5,3)(5,4)(5,5)
(6,2)(6,3)(6,4)(6,6)
Number of favourable outcomes = 24
Probability that the outcome of the roll is an even sum or a sum that is a multiple of 3 = Number of favourable outcomes/Total Number of outcomes = 24/36 = 2/3
Evaluate the expression for r = 0 and s = –14. Simplify your answer.
r − s
s
=
Answers
14 is the answer
Step-by-step explanation:
0+14=14
The regular price of a stereo system at Best Buy is $375. The system is on sale for 15% off the
regular price. The sales tax rate is 6%. What is the final cost of the stereo system, after the
discount and including the tax? *
$229.62
$318.75
$341.25
$337.88
Answers
The final cost of the stereo system after the discount and including the tax is $337.88. The correct option is D.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that the regular price of a stereo system at Best Buy is $375. The system is on sale for 15% off the regular price. The sales tax rate is 6%.
The discounted price is calculated as,
Discounted Price = 375 x 0.85
Discounted Price = 318.75
The total price after sales tax is,
Total price = 318.75 x 1.06
Total price = $337.875
To know more about percentages follow
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The options for A , B , C , and D will be below:
A : 2 , 4 , 6 , 0 , 1 , 8
B: 2 , 4 , 6 , 0 , 1 , 8
C: 2 , 4 , 6 , 0 , 1 , 8
D: 2 , 4 , 6 , 0 , 1 , 8
Answers
Answer:
8 4 2 0
Step-by-step explanation:
what is the value of X?
Answers
since all sides are equal, which means all angles must also be equal to one another
all angles =60°
solving 7x-3=60
7x=63
x=9
similarly 11 y+5=60
11y=55
y=5
What is (16x^3)^ 1/4 in radical form?
Answers
Answer:
4^√16x3
Step-by-step explanation:
Events A and B are such that P(A) = 3 8 , P(B) = 2 7 and P(A ∩ B) = 1 7 Work out P(A|B)
Answers
Answer:
[tex]\frac{17}{27}[/tex]
Step-by-step explanation:
Given: Events A and B are such that [tex]P(A)=38\,,\,P(B)=27[/tex] and P(A∩B) = 17
To find: [tex]P(A|B)[/tex]
Solution:
Probability refers to the chances of occurrence of any event.
An event is described as an outcome of a random experiment.
A random experiment is an experiment for which outcomes cannot be predicted.
[tex]P(A|B)=[/tex] P(A∩B) ÷ P(B) = [tex]\frac{17}{27}[/tex]
joe is going to use a random number generator 500 times. Each time he uses it,he will get 1,2,3,or 4
Answers
Answer:
Okay, so whats the question?
Step-by-step explanation:
what is the simple interest of a savings deposit for 1500 for 18 months at an interest rate of 6%
Answers
Step-by-step explanation:
Principal=1500
Time=18months = 18×12=216
Interest=6%
now
SI=P×T×R÷100
SI=1500×216×6÷100
SI=1944000÷100
SI=19440 is the answer
can some one help me plz!!!
i am marking brainlyest
Answers
Answer:
its a or c
Step-by-step explanation:
3x^2+4x-4
X-Factor Method
Answers
Answer:
[tex](3x - 2)(x + 2)[/tex]
Determine where on the coordinateplane the point (8, 0) would be located. How do you know
Answers
Calculate the value of each expression
(-8) × 2/3=?
(-8)× (-2/3)=?
-18/3=?
18/(-3)=?
(-18)/(-3)=?
Answers
Answer:
1)-8×2/3
=-24×2/3
=-48/3
=-16
2)(-8)x(-2/3)
=-24×-2/3
=48/3
=16
3)-18/3
=-6
4)18/-3
=-6
5)-18/-3
=6
I feel like this is simple but i just forgot
Answers
Answer:
Probably d but im d u mb
Step-by-step explanation:
Write an equation in slope-intercept form of the line that passes through (-2, 5) and (-4, — 5).
y =
HELPPP PLZ
Answers
What is the slope of the line that passes through the points (5, -4)(5,−4) and (7, -4) ?(7,−4)? Write your answer in simplest form.
Answers
Answer:
the slope is 0, m=0
Step-by-step explanation:
do the equation y2 - y1 over x2 - x1
Equation of a line is the y = 3x - 1 is with a slope of 3 and a passing point of (2, 5).
What is meant by slope?An angled surface, especially a hill or mountain, or the angle at which something rises: On flat terrain, students develop their directional skiing skills.A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes.The ratio of the difference between the y- and x-coordinates of the two points that make up the line must be calculated. The slope of the line is the value that is obtained. It displays how the line's y-axis rise compares to its x-axis run.Here, slope of line equals 3.
Passing the buck (2, 5)
line equation
(y - y₁) = m (x - x₁)
y - 5 = 3 (x - 2) (x - 2)
y - 5 = 3x - 6
y = 3x - 6 + 5
y = 3x - 1
So, the equation of the line traversing the points (2, 5) and having a slope of 3 is y = 3x - 1.
The complete question is : A line with a slope of 3 passes through the point (2, 5). Write an equation for this line in point-slope form.
To learn more about slope refer to:
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please help me. i am so confused please
Answers
Answer:
what is the question above what you are showing in the picture ?
Step-by-step explanation:
it will help a lot
The sum of three consecutive numbers is
42. Find the largest number in the set
Answers
Answer:
20
Step-by-step explanation:
Well consecutive numbers mean that the 3 numbers will follow each other in smallest to largest.
Example : 6, 7, 8 or 6,34,87
Non-Example : 7, 9, 6
As long as the number is greater than the one before it they are consecutive.
Following this rule I have come up with the numbers :
10, 12, 20
These three numbers are consecutive and equal to 42.
Now to find the largest number in this set just look at the greatest value which would be 20.
I don't have an entire explanation for this as I just did it in my head but I do hope it is correct.
I hope this helps! :)
What is the value of the solution to the system of linear equations below?
4x - y = 20
2x + 2y = -10
F
(3,-8)
G
(10,8)
H
(3,32)
J
(-8,3)
Answers
Neeeeeeeeeeeedddddddd hellllllllppppppppppp
Answers
Answer:
0.8333333 which goes on forever
Step-by-step explanation:
Giving Away 100 Points!!! ONLY IF YOU ANSWER THIS SPECIFIC QUESTION.
WHAT IS 9×24+42
Answers
Answer:
258
Step-by-step explanation:
9×24+42= 258
Simple: 258
And thanks for asking this questions with 100 points.
Question 1
Find the measure of each angle indicated.
Answers
Answer:
90
Step-by-step explanation:
Answer:
90
Step-by-step explanation:
x + 70 =120 {Exterior angle theorem}
x = 120 - 70
x = 50
y = x {Vertically opposite angles}
y = 50
z + 50 + 40 = 180 {Angle sum property}
z + 90 = 180
z = 180 - 90
z = 90
ANSWER THIS PLZ I NEED HELP
Answers
Part b is: x=6 because you multiply the 3x and x is 6.
3(6)+4=22
18+4=22
22=22
Hope this helped
Answer:
a) 3x+4
b) 6×3+4
Step-by-step explanation:
Ms. Rios mowed
2
7
of her lawn. Her son mowed
1
4
of it. Who mowed most of the lawn? How much of the lawn still needs to be mowed?
Answers
Answer:
Ms Rios mowed more
Step-by-step explanation:
I'm assuming that there's 100% of the lawn so if Ms Rios mowed 27% of the lawn when it was at 100% it would be at 73%
Now if her son mowed 14% and it was still at 100% it would be at 86%
So in the end Ms Rios mowed more of her lawn
helpppppppppppppp-------
Answers
Answer:
7/10
Step-by-step explanation:
1/10 = 2/20
1/4 = 5/20
2/5 = 8/20
11/20 = 11/20
We can see that the next term is just 11/20 + 3/20, as 3/20 is added onto each of the next terms.
11/20 + 3/20 = 14/20, which can be simplified to 7/10.
Hope this helps!
