Find the number that belongs
in the green box.
4
? 1°
29°
10
Round your answer to the nearest tenth.
Answers
Answer:
16.6°
Step-by-step explanation:
The triangle can be solved using the Law of Cosines to find the side opposite the given angle, then the Law of Sines to find the missing angle from the given sides.
__
We choose to use a=10, b=4, C=29°.
c² = a² +b² -2ab·cos(C) . . . . . law of cosines
c² = 10² +4² -2·10·4·cos(29°) ≈ 46.0304
c ≈ √46.0304 ≈ 6.78457
Then angle B (opposite side b) is ...
sin(B)/b = sin(C)/c . . . . . . . . . law of sines
sin(B)/4 = sin(29°)/6.78457
B = arcsin(4/6.78457×sin(29°)) ≈ 16.6085°
The missing acute angle is about 16.6°.
Related Questions
If the coordinates of point Q are (−12,√32), then what is the value of tan(m) ?
Answers
Vector components are expressed in the form (x, y). The measure of tan m given the coordinate Q is -√32/12
Direction of a vectorVector components are expressed in the form (x, y). Given the coordinates of point Q are (−12,√32), the measure of the angle is expressed as;
m = arctan(y/x)
m = arctan (-√32/12)
Take the tan of both sides
tan m = tan arctan(-√32/12)
tan m = -√32/12
Hence the measure of tan m given the coordinate Q is -√32/12
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find the zeros for 3x2-8=-2x
Answers
Answer:
Here is the answer ..hope it helps:)
PLEASE HELP
The volume of a right rectangular prism can be found by using the product 6(4)(18). Which expression could also be used to determine the volume of this prism?
6 + 4 + 18
2(6 + 4 + 18)
32(18)
4(6)(18)
Answers
Answer:
The last one is 4(6)(18).
Please give Brainliest
Answer:
4(6)(18)
Step-by-step explanation:
the last option is your right answer
In figure MNL, the value of x is:
Answers
Answer:
x=6
Step-by-step explanation:
Those are scalene triangles, if 9 is the base, then the other two sides will be congruent, so x=6.
Option 1: use the applet to construct circles for problems 1 & 2 or 3 & 4.
take a screenshot and insert them into your student companion.
1. circle a, with a diameter of
6 cm.
2. circle c, with a radius that is
equal to circle a's diameter.
3. circle b, with a radius of 5
cm.
4. circle d, with a diameter
that is equal to circle b's
radius.
Answers
Answer:
9
Step-by-step explanation:
Option 1: use the applet to construct circles for problems 1 & 2 or 3 & 4.
take a screenshot and insert them into your student companion.
1. circle a, with a diameter of
6 cm.
2. circle c, with a radius that is
equal to circle a's diameter.
3. circle b, with a radius of 5
cm.
4. circle d, with a diameter
that is equal to circle b's
radius.
help with practice problem
Answers
Answer:
i think the answer is r=0.5 or r=−3/2−x^2
Step-by-step explanation:
-4r^2-4r=6
step 1. -4r(-4r)= 16r
16r-4r=6
step 2. 16r-4r=12r
12r=6
step 3. /12 on both sides
r= 0.5
Given g(x) = x2-8x-20, which statement is true?
A. The zeros are -10 and 2, because the factors of g are (x+10) and (x-2)
B. The zeros are 10 and 2, because the factors of g are (x-10) and (x-2)
C. The zeros are 10 and -2, because the factors of g are (x-10) and (x+2)
D. The zeros are -10 and -2, because the factors of g are (x+10) and (x+2)
Answers
Answer:C
Step-by-step explanation:
The statement which is true is C. The zeros are 10 and -2, because the factors of g are (x-10) and (x+2).
What are Quadratic Functions?Quadratic functions are polynomial functions consisting of variables and exponents and the degree of the variable is 2.
The general form of a quadratic function is f(x) = ax² + b x + c.
Given is a function,
g(x) = x² - 8x - 20
We have to factorize the expression in order to find the zeroes.
Using factorization method, we can say that, the given function can be factorized (x + p) (x + q) as there exists two numbers p and q such that pq = -20 and p + q = -8
Two such numbers are -10 and 2.
So,
g(x) = x² - 8x - 20
g(x) = (x - 10) (x + 2)
So the zeroes are x = 10 and x = -2.
Hence the zeroes are 10 and -2.
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What is the value of x?
Enter your answer as a decimal to the nearest tenth in the box.
ft
B
29
27 ft
C
Answers
Answer:
23.6 ft
Step-by-step explanation:
In the right triangle, an acute angle, the hypotenuse, and an adjacent side are marked. We went to know the length of the adjacent side. The trig relation involved is ...
Cos = Adjacent/Hypotenuse
__
Filling in the given information, this relation tells us ...
cos(29°) = x/(27 ft)
Solving for x, we get ...
x = (27 ft)cos(29°) ≈ 23.614 ft
The value of x is about 23.6 ft.
find the selling price of a $36 item after a 50% markup
Answers
Answer:
$54
Step-by-step explanation:
36 divided by 2= 18
$36+$18=$54
Part B: Your cell phone and tablet use the same account. The cell phone costs $0.10 for
each minute of use and the tablet costs $0.15 for every minute of use. Each month, you
want to only spend up to $450 and use less than 5,000 minutes on both of the devices.
Now, create a system of inequalities using the above information (use x and y as the
variables).
please help me ill mark you brainliest
Answers
The inequalities are x + y < 5000 and 0.10x + 0.15y ≤ $450 which shows each month, you want to only spend up to $450 and use less than 5,000 minutes on both of the devices.c
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.
Let's suppose the total minutes for cell phone is x
and total minutes for tablet is y
Then total minutes will be:
x + y < 5000 (less than 5,000 minutes on both of the devices)
And total cost:
0.10x + 0.15y ≤ $450
Thus, the inequalities are x + y < 5000 and 0.10x + 0.15y ≤ $450 which shows each month, you want to only spend up to $450 and use less than 5,000 minutes on both of the devices.
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5. M's class is having a give-away
here 3 of her lucky students will
ceive 500 classroom credits. She
ll pull names out of a hat and select
winners. Once a student wins, they
e not eligible to win again. There
e 75 total students in the class,
cluding you and your 2 best friends.
Answers
The probability that both I and my best friend get the 100 classroom credits is 0.06%.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Since Mr Q's class is having a give-away where his students can receive 100 classroom credits, he will pull names out of a hat and select two winners, and once a student wins, they are not eligible to win a second time, if there are 40 total people in the class, including me and my best friend, to determine what is the probability that both I and my best friend get the 100 classroom credits, the following calculation must be performed:
I = 1/40 = 0.025
my best friend = 1/39 = 0.02564
0.02564 x 0.025 = X
0.0006410 = X
X x 100 = 0.064
Therefore, the probability that both I and my best friends get the 100 classroom credits is 0.06%.
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I have 25% off coupon. The items in my cart come to a total of $178.99. What will be my bill after my discount?
Answers
Find pi using circumference of 78.5 and the radius is 5. Explain how you found pi.
Answers
Answer:
Pi is normally 3.14 but in this case it is 15.7
Step-by-step explanation:
78.5 divided by 5 = 15.7
5 x 3.14 = 15.7
Can someone help me to solve this question? Prove that the quadrilateral ABCD whose vertices are A(-2,-1), B(-2,-3), C( 5,6), and D(5,-1)is a trapezium.Find the area of trapezium ABCD. Also Can you tell how to find the height of trapezium with vertices without knowing the area? Thank you.
Answers
If the height of the trapezium is 7 units. Then the area of the trapezium will be 31.5 square units.
What is a trapezium?It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezium, one pair of opposite sides are parallel.
The quadrilateral ABCD whose vertices are A(-2,-1), B(-2,-3), C( 5,6), and D(5,-1).
The lines AB and CD are parallel to the y-axis. Then the quadrilateral ABCD is a trapezium.
The height of the trapezium will be 7 units.
The area of the trapezium will be
Area = 1/2 (2 + 7) x 7
Area = 0.5 x 9 x 7
Area = 31.5 square units.
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It takes Greg and Nikki a total of 40 minutes to paint a room if they work together. If Greg works alone, he takes 18 minutes longer to paint he room than Nikki takes if she works alone. When x represents the number of minutes it takes Nikki to paint the room working alone, the situation is represented by this equation: Which value is a solution of the rational equation that must be discarded because of the context
Answers
Using the together rate, it is found that the value that must be discarded is given by x = -9.
What is the together rate?It is the sum of each separate rate.
In this problem, the rates are given as follows:
Together: [tex]\frac{1}{40}[/tex].Nikki's: [tex]\frac{1}{x}[/tex].Greg's: [tex]\frac{1}{x + 18}[/tex].Hence:
[tex]\frac{1}{x} + \frac{1}{x + 18} = \frac{1}{40}[/tex]
[tex]\frac{x + 18 + x}{x(x + 18)} = \frac{1}{40}[/tex]
[tex]x^2 + 18x = 80x + 720[/tex]
[tex]x^2 - 72x - 720 = 0[/tex]
Then, we have a quadratic function, with coefficients a = 1, b = -72, c = -720, so:
[tex]\Delta = (-72)^2 - 4(1)(-720) = 8064[/tex]
[tex]x_1 = \frac{72 + \sqrt{8064}}{2} = 80.9[/tex]
[tex]x_2 = \frac{72 - \sqrt{8064}}{2} = -9[/tex]
They cannot have a negative rate, hence the value that must be discarded is given by x = -9.
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Answer:
X = -10
Step-by-step explanation:
PLATO
How do you solve pythagorean theorem??
Full Explanation
Will Mark Brainlist
Answers
Pythagoras theorem is a formula that helps us determine the missing side of a triangle, with the measure of two sides, given.
The Pythagoras theorem formula is expressed as:
[tex](\small\text{Hypotenuse})^{2} = (\small\text{side}_{1} )^{2} + (\small\text{side}_{2} )^{2}[/tex]
Now, let us take an example to understand the concept better.
Example:A triangle with longest side given as 15 centimeters. The base of the triangle has a length of 9 centimeters. What is the measure of the height?
Solution:We are given the following:
Longest side (hypotenuse of the triangle) = 15 cm Base of the triangle (Not the longest side) = 9 cmWhen we plug the hypotenuse and the base, in the formula, we get;
⇒ 15² = 9² + (side₂)²Subtract 9² on both sides of the equation to isolate (side₂)².
⇒ 15² = 9² + (side₂)²⇒ 15² - 9² = 9² + (side₂)² - 9²We can use the rule [a² - b² = (a - b)(a + b)] to simplify the L.H.S
⇒ (15 - 9)(15 + 9) = (side₂)²⇒ (6)(24) = (side₂)²⇒ 144 = (side₂)²Now, take square root on both sides of the equation to determine the measure of the missing side (height of triangle).
⇒ √144 = √(side₂)²⇒ 12 = side₂Therefore, the measure of the height is 12 centimeters.
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I WILL GIVE BRAINLIEST! Draw the line of reflection that reflects ABC onto ABC prime
Answers
Answer:
put the line on y= -2
Step-by-step explanation:
The figure ABC is reflected along the line y = -2 and the new coordinated will be A(-2, -4), B (3, 0), and C (-2, -7).
What is reflection?Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point.
Given:
The coordinates of the figure of ABC is given as A(-2, 0), C(-2, 3), and B(3, -4),
The new coordinates of A'B'C' are A(-2, -4), B(3, 0), and C(-2, -7),
If the given figure is reflected as y = -x,
Then, the coordination will change like (-y, -x),
Thus, the new coordinates of ABC will be A(-2, -4), B (3, 0), and C (-2, -7).
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Please help me in my math problem! Need within 10 minutes!
Answers
The length of the short and long diagonals of the parallelogram to 3 decimal places are 5.244 units and 14.370 units respectively.
What are parallelogram?
Parallelograms are quadrilateral. They have opposite sides equal to each other. Opposite sides are also parallel. The opposite angles are equal to each other.
Therefore, the angles are as follows;
34°34°146°146°Hence,
length of small diagonal = √9²+ 6² - 2(9)(6) cos 34
length of small diagonal = √81 + 36 - 108(0.82903757255)
length of small diagonal = √117 - 89.5360578359
length of small diagonal = √27.5
length of small diagonal = 5.24404424085
length of small diagonal = 5.244 units
5.244² + d² = 2(9² + 6²)
27.499536 + d² = 2(81+36)
d² = 234 - 27.499536
d²= 206.5
d = √206.5
d = 14.3701078632
d = 14.370 units
length of the longer diagonal = 14.370 units
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How many times does 26 go into 1,793?
Answers
Answer:
68.96Step-by-step explanation:
"How many times does 26 go into 1793?" is the same as asking "How much is 1793 divided by 26?" Thus, the answer can be calculated as follows:
1793/26 = 68.96 ( you can round up to 69)
Answer:
69 times
Step-by-step explanation:
to get the number of times, divide 1,793 by 26
1793/26 = 68.96153846
= 69 times (approximately)
3. The FFA had a fundraiser by selling hot dogs for $1.50 and drinks for $2.00. Their total sales were $400.
a) Write an equation to calculate the total of $400 based on the hot dog and drink sales.
b) Graph the relationship between hot dog sales.
Answers
The equation that represents the total of $400 based on the hot dog and drink sales is $400= $1.50H + $2.00D
Using equation for expressionsThe amount sold for each hot dog = $1.50
The total number of hot dogs sold = H × $1.50
The amount sold for each drink = $2.00
The total number of drinks sold = D× $2.00
The total sales made was = $400
Therefore the equation that represents the total of $400 based on the hot dog and drink sales is;
$400= $1.50H + $2.00D
The relationship that exists between the hot dog sales is that the cost is the drinks is higher than the cost of the hot dog.
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can someone tell me what letter or variable it is after the = sign, is it an K or R?
Answers
Taking successive discounts of 15% off and then 25% off is the same as taking a one time discount of 40%. true or false
Answers
Answer:
False
Step-by-step explanation
Let's take the example starting number as 100
15% off of 100 gives us 85.
25% off of 85 is 63.45
40% off of 100 would be 60.
A student graphs the functions f(x) = | x+3 | and g(x) = x2-2x+3 on the coordinate plane shown.
Which are the solutions of f(x) =g(x)?
A. -3 and 1
B. -1 and 1
C. 0 and 3
D. 3 and 6
Answers
The solutions are the intersection point of both graphs
The left side graph is y=|x+3|The right side top graph is x²-2x+3(Parabola)So there mUST be two solutions
The intersections are
(0,3)(3,6)The x values are solution
They are 0,3Option C
Answer:
C. 0 and 3
Step-by-step explanation:
The solutions of f(x) = g(x) are the values of the x-coordinates of the points where the two graphed functions intersect.
From inspection of the graph, the points of intersection are:
(0, 3)(3, 6)Therefore, the solutions are 0 and 3 (since they are the x-values).
Proof
[tex]\implies f(x) = g(x)[/tex]
[tex]\implies |x + 3| = x^2-2x+3[/tex]
We only need to take the positive form of |x+3| since we can see from the graph that g(x) intersects f(x) when |x+3| is positive:
[tex]\implies x + 3 = x^2-2x+3[/tex]
[tex]\implies x^2-3x=0[/tex]
[tex]\implies x(x-3)=0[/tex]
[tex]\implies x=0, 3[/tex]
Thus confirming that the solutions are when x = 0 and 3
What is the slope of the line shown below?
Answers
1/6
Step-by-step explanation:
Answer:
B. 6
Step-by-step explanation:
(y1 - y2) ÷ (x1 - x2)
(6 - 3) ÷ (12 - (-6))
3 ÷ 18 = 6
hope this helps
have a good day
What fraction is equivalent to the decimal number 0.90?(theres a line above the 0.90)
A. 10 over 11
B. 9 over 10
C 1 over 9
D 1 over 90
Answers
Answer:
B
Step-by-step explanation:
The number is in the tenths spot so you do 0.90 times 10 which gives you 9/10.
rewrite decimal to fraction
0.90/1
multiply by 10 to remove decimal
0.90/1 x 10/10
0.90 = 9/10
Does anybody understand this? Been struggling with it for awhile. Use the rectangle to find the measure of the following angles. BAC=25
Answers
Answer:
∠CBA =90°; ∠CAD =65°; ∠ACD =25°; ∠CBD = 65°
∠BWA = 130°; ∠AWD = 50°
Step-by-step explanation:
The diagonals of a rectangle divide the figure into two pairs of congruent isosceles triangles. The figure is symmetrical about both the vertical and horizontal centerlines. Each corner angle of the rectangle is 90°. Of course, the sum of angles in any of the triangles is 180°.
__
The above descriptions tell you ...
∠ABD =∠ACD =∠BAC =∠BDC = 25°
∠CBA =∠BCD =∠CDA =∠DAB = 90°
∠CAD =∠CBD =∠ACB =∠ADB = 90° -25° = 65°
∠BWA =∠CWD = 180° -25° -25° = 130°
∠AWD = ∠BWC = 180° -65° -65° = 50°
Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answers
No he is wrong
If he is referring to table only then correct else wrong
Always 2^x can't have less intercept.
After some while it will cross 5(x)².
You can observe it from graphs
Find the value of x.
8:5 = 1/x:1
Answers
Answer:x=61
Step-by-step explanation
856−5x3{131}=2
8(x−9)+5(5−18)+1(15−6x)=2
8x−72−65+15−6x=2
2x=122
x=61
sorry if i'm wrong
I need help with this question
Answers
Answer:A
Step-by-step explanation: because there is an association with the child’s hight and age so the answer is A ( plus I have did this before and got it wrong and the actual Answer was A when I picked B
Answer: A
Step-by-step explanation:
About 2% of the students at a college with a population of 9,000 students have significant vision impairments. A polling organization took a random sample of 800 of these students. is the 10% conditon met?
Yes, 10(800) = 8,000, which is less than the total population
Yes, 10% of 800 = 80, which is less than the total population
No, 10(9,000) = 90,000, which is more than the sample
No, 10% of 9000 = 900, which is more than the sample
Answers
Answer:
total population: 9,000
10% of 9,000= 900 students
they only surveyed 800 students so Yes the 10(800)=8,000 which is less then 9,000 or Option A