Answers
Because 5/4 = 1.25
tan (51) = 1.235
tan (45) = 1
tan (60) = 1.732
tan (57) = 1.5399
The closest to 1.25 is tan (51)
Hope this helps :)
Related Questions
Which expression gives the area of the triangle shown below?
Answers
On this picture the base is the length of the bottom part of the triangle (c). It is the distance of the solid line only.
The height is represented as the straight line that is perpendicular to the base (forms a right/90 degree angle). X is the height of the triangle.
Therefore, 1/2cx is the answer.
The expression gives the area of the triangle shown below 1/2cx is the answer.
The reason this is the answer is because to find the area of a triangle you will find half of the base times the height.
What is the formula of the triangle?
The formula of a triangle
A=1/2bh.
In this picture, the base is the length of the bottom part of the triangle (c).
It is the distance of the solid line only.
The height is represented as the straight line that is perpendicular to the base (forms a right/90-degree angle).
X is the height of the triangle.
Therefore, 1/2cx is the answer.
So option D is correct.
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prove this trigonometric equation;
- tan^2x + sec^2x = 1,
Answers
- tan²x + sec²x = 1 or 1 + tan²x = sec²x
sin²x + cos²x = 1
Divide the whole by cos²x
[tex] \frac{sin^2x}{cos^2x} + \frac{cos^2x}{cos^2x} = \frac{1}{cos^2x} [/tex]
[tex] \frac{sinx}{cosx} = tanx[/tex] so [tex] \frac{sin^2x}{cos^2x} = tan^2x[/tex]
and
[tex] \frac{1}{cosx} = secx [/tex] so [tex] \frac{1}{cos^2x} = sec^2x[/tex]
Therefore,
tan²x + 1 = sec²x
Take tan²x to the other side {You will have the same answer}
1 = - tan²x = sec²x or sec²x - tanx = 1
The top of a rectangular table has an area of 100 square feet and width of 5 feet. What is the length in feet of the surface
Answers
The length of the surface of the rectangular table that has an area of 100 sq. ft is: 20 ft.
What is the Area of a Rectangle?Area of rectangle = (length)(width).
The table given has a rectangular surface.
Area of the rectangular table = 100 square feetWidth of the rectangular table = 5 feet(length)(5) = 100
Length = 100/5
Length of the rectangular table = 20 feet.
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Which property justifies the following statement? If x=2,and y=3x-11, then y=3•2-11
Answers
Please help asap!!! 19 pts
Answers
Compare the numbers in the following sequence and try to determine what the next number should be.
6, 9, 18, 21, 42, 45, ?
Now When i did the math I thought it might be 54 but I'm not sure can someone help me or tell me if I'm right!
Answers
6 + 3 = 9
9 * 2 = 18
18 + 3 = 21
21 * 2 = 42
42 + 3 = 45
45 * 2 = 90
90 + 3 = 93
93 * 2 = 186, etc.
Thus, the next number after 45 is 90.
PLEASE HELP ASAP! BRAINLIEST TO BEST/RIGHT ANSWER
Answers
Match each problem (term) with its sum or difference (definition).
Term Definition
4.23 + 16.21 A) 26.09
42.3 + 1.621 B) 2.609
4.23 − 1.621 C) 20.44
42.3 − 16.21 D) 43.921
GET THIS RIGHT ILL GIVE U BRAINLIEST!!!!!!!
Answers
Each mathematical term has been calculated and the correct sum or difference matched with its definition: 4.23 + 16.21 matches with C) 20.44, 42.3 + 1.621 with D) 43.921, 4.23 - 1.621 with B) 2.609, and 42.3 - 16.21 with A) 26.09.
To match each mathematical term with its correct sum or difference, we simply perform the addition or subtraction:
4.23 − 1.621 = 2.609, so this term matches with definition B)
Each problem has been matched with its corresponding definition based on the results of the arithmetic operations.
Find the equation of the axis of symmetry for the parabola y = x2 + 4x – 5 .
Answers
[tex]x = - \frac{b}{2a} [/tex]
[tex]x = - \frac{4}{2} [/tex]
[tex]x = - 2[/tex]
Bianca has 3:5 The ratio of the number of books Bianca has to the number books Chrissy has 10:11 If amy has 36 books how many books does Bianca have
Answers
Which of the following expression expressions is equivalent to cos3x/sinxcosx?
A.) cscxcos2x-secxsin2x
B.) secxcos2x-cscxsin2x
C.) secxcosx-cscxsinx
D.) cscxcosx-secxsinx
Answers
Answer:
A.) cscxcos2x-secxsin2x
Step-by-step explanation:
I'm sorry I really do not know how to solve this but I just did the quiz and b was not correct.
Final answer:
To find an expression equivalent to cos3x/sinxcosx, we use trigonometric identities and simplification to arrive at cscx - secx. Option D, cscx cosx - secx sinx, when expanded and simplified, is equivalent to cscx - secx, thus it is the correct answer.
Explanation:
The question asks us to find an expression equivalent to cos3x/sinxcosx. To start, let's simplify the given expression using trigonometric identities.
We can write cos3x as cos(2x+x), which by using the angle addition formula for cosine gives us cos(2x+x) = cos2x cosx - sin2x sinx. Now our expression looks like this: (cos2x cosx - sin2x sinx) / (sinx cosx).
The next step is to split the numerator to have two separate fractions: cos2x/sinx - sin2x/cosx. We can then recognize that cos2x/sinx is equivalent to 1/sinx or cscx, and -sin2x/cosx is equivalent to -1/cosx or -secx. Therefore, the equivalent expression is cscx - secx.
Comparing this result to the options given, option D, cscx cosx - secx sinx, expands to 1/sinx × 1 - 1/cosx × sinx, which can be simplified to cscx - secx. Thus, option D is the correct answer.
Two trains leave the station at the same time, one heading west and the other east. The westbound train travels at
90
miles per hour. The eastbound train travels at
80
miles per hour. How long will it take for the two trains to be
272
miles apart?
Do not do any rounding.
Answers
272
train 2 = 80 miles per hour
90 + 80 = 170
272 / 170 = 1.6 hours = 1 hour 36 minutes
Which number system BEST describes this set? {-10, 0, 28 7 , 102.9} A) integers B) natural numbers C) rational numbers D) irrational numbers
Answers
The 4 numbers in this list only all belong to the set of rational numbers. All of the other sets can be crossed off.
First, 102.9 is not an integer, so we can't select choice A.
Second, 0 is not a natural number, so we can't select choice B.
Third, none of the numbers are irrational, so we can't select choice D.
The only choice left is choice C - rational numbers.
make w the subject of the formula y-aw=2w-1
Answers
Solution step by step:
1) given formula: y-aw=2w-1
2) transpose aw and - 1
2w + aw = y + 1
3) common factor w:
w (a + 2) = y + 1
4) divide both sides by (a + 2):
w = [ y + 1] / [a + 2]
To make w the subject of the formula y-aw=2w-1, rearrange the equation as follows: add aw to both sides, factor out w on the right side, add 1 to both sides, and then divide by (a+2). The final equation is w=(y+1)/(a+2).
Explanation:The question is asking to rearrange the given formula y-aw=2w-1 to solve for the variable w. We can follow these steps:
Add aw to both sides of the equation to eliminate it on the left side. This gives us y=aw+2w-1. Factor out w from the right side. This gives us y=w(a+2)-1. Add 1 to both sides of the equation to eliminate it on the right side. This gives us y+1=w(a+2). Divide both sides of the equation by (a+2) to isolate w. This gives us w=(y+1)/(a+2).
Therefore, in the formula y-aw=2w-1, w=(y+1)/(a+2) when solved for w.
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How do I solve this problem?
Answers
The square of the hypotenuse is equal to the sum of the squares of the other two sides. You may need to do some addition or subtraction and root-taking to find the value of interest.
4. 6^2 = 4^2 +x^2
.. x = √(36 -16) = 2√5
A(-5,-4) ——> A’ is a glide reflection where the translation is (x,y)—->(x+6,y), and the line of reflection is y=3. What are the coordinates of A’?
A. (1,-4)
B. (-5,2)
C. (1,10)
D. (11,2)
Answers
Solution:
The Point in the coordinate plane is A(-5,-4).
Perpendicular or shortest Distance from line y=3 that is (-5,3) to point (-5,-4) is
[tex]=\sqrt{(-5+5)^2+(3+4)^2}\\\\=7[/tex]
When it is reflected through the line, y=3, the coordinate of point A (-5,-4) changes to (-5,3+7)= B(-5,10).
Now, the Point B is translated by the rule , (x,y)—->(x+6,y),
So,the point B is translated to, (-5+6,10)=(1,10)
Option C: (1,10) is the glide reflection of point A(-5,-4).
The coordinates of A' after the glide reflection (translation and reflection over y = 3) from A(-5, -4) are (1, -4), so the answer is A.
In a glide reflection, first apply a translation and then a reflection. Let's follow the given transformations step by step:
Translation: (x, y) → (x + 6, y)
This means you move the point A(-5, -4) six units to the right and keep the same y-coordinate. Applying the translation:
A' = (-5 + 6, -4)
= (1, -4)
Reflection over the line y = 3:
In this reflection, points above the line will move below it and vice versa, while points on the line will remain unchanged.
Since the original point A(-5, -4) is below the line y = 3, its reflection A' will be above the line.
Therefore, the coordinates of A' are (1, -4) ,the correct option is A. (1, -4).
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What is the quotient of 78.3 ÷ 3.48?
Answers
Good luck with your work!
Create an equation to model an investment of 5000 dollars which increases 15% each year. Set up an equation to solve for how long it would take for the investment to double. ( you do not need to solve this problem)
Answers
Interest rate = 1.15
The amount increases exponentially.
Then we get the following equation
[tex]5000 \times 1.15 {}^{t} [/tex]
In this formula t represents time.
The equation of doubling time
[tex]5000 \times 1.15 {}^{t} = 10000[/tex]
[tex]1.15 {}^{t} = 2[/tex]
The length of a rectangle is represented by the function L(x) = 6x. The width of that same rectangle is represented by the function W(x) = 4x2 − 3x + 8. Which of the following shows the area of the rectangle in terms of x?
Answers
Width of the rectangle, W(x) = 4x² - 3x + 8
Area of a rectangle = Length * Width
Therefore, Area od the rectangle = 6x (4x² - 3x + 8)
= (4x² · 6x) - (3x · 6x) + (8 · 6x)
= 24x³ - 18x² + 48x
P = L X W
Now taking into account the given, we can say that:
[tex](L.W)(x) = (6x)(4 x^{2} - 3x + 8)[/tex]
Now let's simplify the expression by doing the operation and you will have this as your result:
[tex](L.W)(x) = 24x^{3} - 18x^{2} + 48x[/tex]
This circle graph shows the results of a survey that asked people to identify their favorite type of music.
What percent of people chose rock or country as their favorite type of music?
9%
35%
45%
55%
A circle graph with 5 sections. The first section is labeled Rock 27 percent. The second section is labeled Hip Hop 28 percent. The third section is labeled Jazz 19 percent. The fourth section is labeled Country 18 percent. The fifth section is labeled Other 14 percent.
Answers
Country or rock would be found by adding the two percentages:
18+27 = 45.
(Side note: the percentages on this circle graph add up to 106%....)
Answer: C) 45
Hope Thsi Helps ^_^
URGENT!!!! You must create a 6-character password using the letters A-Z and the numbers 0-9. Characters may be repeated. How many possible passwords are there?
Answers
hope this helps
The sum of three consecutive odd integers is − 105 . find the numbers.
Answers
x+(x+2)+(x+2+2)=105
3x+2+2+2=105
3x+6=105
3x=99
x=33
so the answers would be 33, 35 and 37
What is the least common Multiple of 9 and 10? Use prime factorization to solve.
Answers
......................
PLEASE HELP ME ON THIS
BRAINLIEST AVAILABLE IF YOU ANSWER CORRECTLY
Answers
The ratios are, for Beverly:
1.0171.0321.0541.058
for Lowell
1.051.051.051.05
So obviously Beverly is not exponential and Lowell is.
Pls help.
Solve (6x^3-1x^2+1)/(2 x+1)
a. -3x^2+2x-1
b. 3x^2-2x+1
c. -3x^2+2x-1
d. 3x^2+2x-1,
Answers
In triangle abc, ac=10, bc=8, angle b =90 degrees and angle bda = 90. how long is line bd
Answers
we know that
applying the Pythagorean theorem in triangle ABC
AC²=AB²+BC²----------> AB²=AC²-BC²---------> 10²-8²-------> AB²=36-----> AB=6
in the triangle ABC
tan a=BC/AB--------> 8/6--------> tan a=4/3
tan c=AB/BC--------> 6/8--------> tan c=3/4
in the triangle ABD
tan a=BD/AD---------> tan a=BD/x-------> BD=x*tan a
BD=x*(4/3)-----------> equation 1
in the triangle BDC
tan c=BD/DC------------------> BD=(10-x)*tan c------> BD=(10-x)*(3/4)
BD=(10-x)*(3/4)-------------> equation 2
equal 1 and 2
x*(4/3)=(10-x)*(3/4)------> 16x=9*(10-x)--------> 16x=90-9x----> 25x=90
x=90/25-----------> x=3.6
BD=x*(4/3)--------> BD=3.6*(4/3)----------> BD=4.8 units
the answer is BD=4.8 units
Carl puts 1.10 in his penny bank every day in the month of July. His total savings was 55at the end of June. What’s the best estimate for Carl’s savings at the end of July
Answers
Answer:
About 85 is the answer
Please help simple math problem
Answers
When 2 lines intersect, they make vertical angles.
Vertical angles are congruent (equal).
Vertical angles are opposite one another.Supplementary angles add up to 180º = 40 degrees + 140 degrees = 180 degrees. Adjacent and Supplementary Angles = 120 + 60 = 180 degreesAdjacent angles are “side by side” and share a common ray. 130 degrees and 50 degrees.Complementary angles add up to 90º. = 60 degrees + 30 degrees = 90 degrees.
Combine and simplify these radicals. square root of 8 times square root of 20
Answers
sqrt(20) = sqrt(2 * 2 * 5) = 2 sqrt(5)
Now multiply
2*sqrt(2) * 2 sqrt(5)
= 2 * 2 * sqrt(2) * sqrt(5)
= 4 sqrt(10)
Answer:
√8 * √20 = 4√10
Step-by-step explanation:
√8 * √20= √(4*2) * √(4*5)
√8 * √20 = (√4)(√2)*(√4)(√5)
√8 * √20 = (2)(√2)*(2)(√5)
√8 *√20 = (2*2)(√2*√5)
√8 * √20 = (4)(√(2*5)
√8 * √20 = 4√10
BRAINLIESTTTTT ASAP!!!
Write x^2 − 2x − 3 = 0 in the form (x − a)^2 = b, where a and b are integers.
(x − 4)^2 = 3
(x − 3)^2 = 2
(x − 2)^2 = 1
(x − 1)^2 = 4
Answers
.. (x +(a/2)^2
You have a=-2, so the binomial square will be of the form (x -1)^2. You don't even need to work out the rest of it to know that ...
.. the 4th selection is appropriate.