Should be pretty easy to answer, I just need a refresher. I forgot how to solve for triangles...
Answers
Answer:
x = 25.734083
[tex]x \approx 25.734[/tex]
Step-by-step explanation:
Trigonometric Ratios
The ratios of the sides of a right triangle are called trigonometric ratios. There are six trigonometric ratios, sine, cosine, tangent, cosecant, secant, and cotangent.
The longest side of the triangle is called the hypotenuse and the other two sides are the legs.
Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.
Note we are given an angle of 25°. The opposite side is 12 and the adjacent side is x. We need to relate those sides with a trig function (the tangent ratio)
Tangent Ratio:
[tex]\displaystyle \tan\theta=\frac{\text{opposite leg}}{\text{adjacent leg}}[/tex]
Substituting:
[tex]\displaystyle \tan 25^\circ=\frac{12}{x}[/tex]
Solving for x:
[tex]\displaystyle x=\frac{12}{\tan 25^\circ}[/tex]
Calculating:
[tex]\displaystyle x=\frac{12}{0.466307}[/tex]
x = 25.734083
Round to 3 decimals:
[tex]\mathbf{x \approx 25.734}[/tex]
Related Questions
Use the Distributive Property to write an equivalent expression.
7m + 7p
Answers
Answer:
7(m+p)
Step-by-step explanation:
Stuck on my Trigonometry homework :(
Answers
Step-by-step explanation:
sin 23°/6cm = sin A/13cm
(sin 23°/6cm)×13cm= sin A
A= 60.35
I wish this will answer u, n im sorry if im wrong
Answer:
I think A= 60.35
Step-by-step explanation:
Hope this helped have an amazing day!
♦⭐Will mark brainliest⭐♦
Solve for x. 2/5x=6/5
A. x = 12/25
B. x = 12/5
C. x = 3
D. x = 6
Answers
Answer:
C. X = 3
Step-by-step explanation:
Multiply both sides by 5 to remove fractions
2x = 6
divide by 2
x = 3
plz help i will mark you as brainlist
Answers
Answer:
C. Six is to the left of the zero and negative six is to the right.
Step-by-step explanation:
Simple, think of a number line and zero is in the middle, to the left there is positive numbers, like six, and to the right there is negative six.
What is a rate? I will mark Brainiest
Answers
Answer:
A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. ... When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates.
Step-by-step explanation:
Tanner measured the rate of oil draining from a tank. His measurements showed that the relationship betwđen the height (in inches) of the oil in the tank, h,
and the time in minutes) that the oil was draining, t. could be modeled by the equation h = 8 -0.25t.
According to the model, how long will the oil need to drain for the height to decrease by 1 inch?
0.25 minutes
1 minute
4 minutes
8 minutes
Answers
Answer:
8
Step-by-step explanation:
what is the birthday polynomial project for 05/11/2004?
Answers
Answer:
OBJECTIVE: To create, characterize and graph a polynomial function that reflects you!
PROCESS:
1. Write, IN ORDER, the digits of the month (1 or 2 digits), day (1 or 2 digits), and year (4 digits) of your birthday.
For example, April 2, 1976 could be “421976” or “4021976”. Use must use 6, 7 or 8 digits.
2. Create a polynomial using your digits, in order. Again, for example, my polynomial could be:
() = 4
5 + 2
4 − 1
3 − 9
2 + 7 −6 or
() = 4
6 + 2
4 − 1
3 − 9
2 + 7 − 6
*notice in the second example, the 0 eliminated the 5th degree term
**if your birth year is 2000, you may change your constant term (the “lagger”, which is the 6 in my
equation) to your favorite number, instead of 0.
3. Experiment with the shape of your birthday polynomial by changing the signs (+/-) of various terms in your
calculator. Try to create a polynomial function with an interesting shape and some turning points. Be creative!
You’re trying to express yourself in this graph!
*notice the change in the 2 graphs
below by just changing 3 positive
signs to negative!
4. Analyze your polynomial (using your calculator)
by finding these characteristics:
a. Roots (x-intercepts)
b. Y-intercept
c. Relative minimums and maximums
d. End behavior
e. Points (x, y)
PRODUCT: Make a presentation of your polynomial. Be creative! Be colorful! Be neat! Be artistic and ACURATE! Just
meeting the basic requirements will earn you a 90% (at most). At a minimum, your presentation should include a visual
representation of the graph of your polynomial and should also include the following:
□ The statements: My Birthday is ________________
My Birthday Polynomial is ______________________.
□ A T-chart with 10 (x, y) points
□ All Roots (labeled on graph and values)
□ Y-intercept (labeled on graph and value)
□ Relative Maximum and Minimums (labeled on graph and values)
□ Sentence description of end behavior and why this occurs
ASSESSMENT: Your project will replace lowest MID-CHAPTER QUIZ (30 points). You will be graded on completion of all
requirements and accuracy of graph and values. Additional points (90% and above) will be awarded for creativity and
effort.
YOUR PROJECT IS DUE WEDNESDAY, DECEMBER 2. ABSOLUTELY NO LATE PROJECTS WILL BE ACCEPTED. PLEASE FEEL
FREE TO EMAIL ME OVER THE BREAK IF YOU HAVE QUESTIONS… HAVE A GREAT THANKSGIVING HOLID
Step-by-step explanation:
The birthday polynomial for the date 05/11/2004 is 20040511.
The birthday polynomial is a mathematical concept that assigns a unique polynomial to a specific date, typically represented in the format MM/DD/YYYY.
To construct the birthday polynomial for a given date, follow these steps:
1. Write the date in the format MM/DD/YYYY.
2. Rearrange the numbers in reverse order, i.e., YYYY/MM/DD.
3. Remove any slashes or separators between the numbers.
To construct the birthday polynomial for the date 05/11/2004, follow these steps:
1. Write the date in the format MM/DD/YYYY: 05/11/2004
2. Rearrange the numbers in reverse order: 2004/05/11
3. Remove the slashes: 20040511
Therefore, the birthday polynomial is 20040511.
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Melanie is making lemonade for a family barbecue. Her recipe which yields 1 pitcher contains 6 cups of water, 2
cups of sugar and 1 cup of lemon juice. If she wants to make 3 pitchers of lemonade, how many cups of sugar
will she need?
Answers
2cups x 3 pitchers = 6 cups
Melanie would need 6 cups of sugar if she were to make 3 pitchers of lemonade. :))
what’s the answer did anyone figure it out ?
Answers
Answer:
NAswer to what
Step-by-step explanation:
what is the slope..
Answers
Answer:
the slope is 2
Step-by-step explanation:
the x's are increasing by 4 each time and the y's are increasing by 2 each time giving you [tex]\frac{4}{2\\}[/tex] which simplifys to 2
Mrs. Cohen has 950 pencils and she has 2 huge boxes, how many pencils is in each box?
Answers
Answer:
475 pencils in each box
Step-by-step explanation:
950/2= 475
Youd divide 950 by 2 where 2 represents the 2 boxes
{Stop scrolling} this is not a question but I just wanted you to know that you are doing absolutely amazing and I am extremely proud of you:) Ik school can be stressful but just know that you got this loves <3
I love u ♥️
Answers
Answer:
Ty :D
Step-by-step explanation:
School is hard
Been stuck on this for hours, it's the Law of Sines. 25 POINTS!!
Answers
Answer:
Step-by-step explanation:
(Sin27) / 11 = (sin x) / 15
cross multiply
15 sin27 = 11 sin x
keep in calculator as you divide 15sin27 by 11.
sin x = .6190779542
do sin ^ -1 (.6190779542) (It’s a key on the calculator.)
x = 38.25*
9514 1404 393
Answer:
38.2°
Step-by-step explanation:
According to the equation you are give, ...
sin(x)/15 = sin(27°)/11
Multiplying by 15 gives you ...
sin(x) = 15·sin(27°)/11 ≈ 0.619078
The inverse sine function is used to find the angle x. It may show as sin⁻¹ on your calculator.
x = arcsin(0.619078)
x ≈ 38.2°
_____
Additional comment
x is shown in the figure as an acute angle, so that is the value we have chosen. The other angle that has sin(x) = 0.619078 is the supplement of this, or 141.8°. The two solutions are shown in the 2nd and 3rd attachments.
ahhahanvm? shushaha bruh what do i do
Answers
\u gotta ask ur question
Step-by-step explanation:
Natalia bought 888 glitter wands for \$50$50dollar sign, 50.
Determine whether or not each wand purchase below has the same price per wand as glitter wands.
Has the same price per wand as glitter wands
Does not have same price per wand as glitter wands
444 sparkle wands for \$20$20dollar sign, 20
666 fairy wands for \$37.50$37.50dollar sign, 37, point, 50
101010 glow wands for \$65$65dollar sign, 65
Answers
9514 1404 393
Answer:
6 for $37.50 has the same price
Step-by-step explanation:
The price per wand is found by dividing the price by the number of wands.
8 for $50 ⇒ $50/8 = $6.25 per wand
__
4 for $20 ⇒ $20/4 = $5.00 per wand not the same
6 for $37.50 ⇒ $37.50/6 = $6.25 per wand is the same price
10 for $65 ⇒ $65/10 = $6.50 per wand not the same
Your answer must be simplified.
−3 < x -10
Answers
Answer:
7 < x
Step-by-step explanation:
−3 < x -10
Add 10 to each side
−3+10 < x -10+10
7 < x
Elijah has $500 in a savings account at the beginning of summer he wants to have at least 200 at the end of summer he withdraws 25 per week how many weeks can you order withdraw money from his account
Answers
Answer:
12 weeks
Step-by-step explanation:
Make an inequality equation with x being the number of weeks:
200 > 500 - 25x
*subtract 500 from both sides*
-300 > -25x
*divide both sides by -25*
12 > x
In a basketball game, the home team was down by 9 points at the end of the game. They only scored 6 points for every 7 points the visiting team scored. What was the final score of the game? Type both answers with a comma inbetween. Show your work below.
Answers
The final score of the basketball game is (54, 63).
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, They only scored 6 points for every 7 points the visiting team scored
and they differ by a total of 9 points.
Therefore, The final score would be 6×9, 7×9.
= (54, 63).
If we take the difference between 63 and 54 it would be 9.
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determine the slope of the table
Answers
Answer:
The slope is -1/2 or -0.5
Hope this helps!
Answer:
The slope is 5
Step-by-step explanation:
if you add 2 to -3 then you get your answer
Plz Help The function shown models the total number of insects in a colony x months after a small number of the insects are brought into a region.
What was the total number of insects in the colony when they were first brought into the region ? Enter your answer in the box
Answers
Answer:
I think it's 25? If I can edit I'll come back with answer..(if it's not 25.)
Step-by-step explanation:
What is the measure of DC?
1. 61
2. 119
3. 122
4. 360
Answers
Answer:
61 it is because it is in first
6. Which graph best represents the solution set of y>3 x-4?
Answers
The required graph of the solution to the given inequality y>3 x-4 has shown.
What is inequality?Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
Given inequality,
y > 3x-4
Illustrating the above inequality on the coordinate plane, the yellow shaded region shows the solution of the given inequality y > 3x-4.
Thus, the required graph of the solution to the given inequality y>3 x-4 has shown.
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Simplify (write in the smallest terms) the following expressions using the laws of exponents and distribution.:))) I WILL GIVE BRAINLIST: )))
Answers
Answer:
What is the equation without it I would say it is g or e
Step-by-step explanation:
A school is purchasing new athletic uniforms for the basketball team. Each uniform costs the school $50.00. The school pays a $80.00 flat shipping fee. If the school spends $830.00 on the order, how many uniforms, did they purchase? Write an equation and explain how you used it to find your answer
Answers
jo jo mera padha ye lhika huwa uski bhen randi aur uski ma maha randi
Answer:
They bought 15 uniforms
Step-by-step explanation:
Equation-
50x + 80 = 830
Subtract 80 from both sides
50x = 750
Divide both sides by 50
x = 15
can someone solve a - 3 over 7 s = -8
and a + 24 = -15
STEP BY STEP PLEASE.
Answers
Answer:
a=-39; s=0.75
Step-by-step explanation:
Solve the System of Equations by Substitution.
First, solve one of the equations for a variable. I'll do the 2nd one because it only has one variable.
a+24=-15 -------> a=-39
Now we know what a is just plug it back into the other equation and get s.
[tex]\frac{a-3}{7s} =-8[/tex]
[tex]\frac{-39-3}{7s} =-8[/tex]
[tex]\frac{-42}{7s} =-8[/tex]
Switch the -8 and 7s
[tex]\frac{-42}{-8} =7s[/tex]
Simplify the fraction
5.25=7s
Divide by 7 to isolate the s
0.75=s
Answer:
2)a+24=-15
a=-15-24
a=-39
Step-by-step explanation:
HELP ASAP PLEASE!!!!
Triangle ABC is similar to triangle PQR, as shown below: Which equation is correct? (1 point)
Answers
help Please ill give branliest.
The juniors and seniors at a high school are ordering class shirts. The amounts ordered in each size are shown in the two-way frequency table below.
Small Medium Large X-Large Total
Juniors 65 84 68 23 240
Seniors 51 62 79 28 220
Total 116 146 147 51 460
Which statement is true about the information represented in the table?
A The percentage of Seniors who ordered a large shirt is greater than the percentage of students who ordered a large shirt who are also in the Senior class.
B The percentage of Seniors who ordered a small shirt is the same as the percentage of students who ordered a small shirt who are also in the Senior class.
C The percentage of Juniors who ordered a medium shirt is greater than the percentage of students who ordered a medium shirt who are also in the Junior class.
D The percentage of Juniors who ordered a medium shirt is less than the percentage of students who ordered a medium shirt who are also in the Junior class.
Answers
Answer:
it b
Step-by-step explanation:
To determine which statement is true, we need to calculate the percentages for each option and compare them and option c is correct.
Option A: The percentage of Seniors who ordered a large shirt is greater than the percentage of students who ordered a large shirt and are also in the Senior class. To calculate the percentage of Seniors who ordered a large shirt, we divide the number of Seniors who ordered a large shirt by the total number of Seniors:
Percentage of Seniors who ordered a large shirt =[tex](79 / 220) * 100 = 35.91[/tex]% To calculate the percentage of students who ordered a large shirt and are also in the Senior class, we divide the number of Seniors who ordered a large shirt by the total number of students who ordered a large shirt: Percentage of students who ordered a large shirt and are also in the Senior class [tex]= (79 / 147) * 100 = 53.74[/tex]% Since the percentage of students who ordered a large shirt and are also in the Senior class is greater than the percentage of Seniors who ordered a large shirt, statement A is false.
Similarly, we can calculate the percentages for the other options: Option B: The percentage of Seniors who ordered a small shirt is the same as the percentage of students who ordered a small shirt and are also in the Senior class. Percentage of Seniors who ordered a small shirt [tex]= (51 / 220) * 100 = 23.18[/tex]% Percentage of students who ordered a small shirt and are also in the Senior class [tex]= (51 / 116) * 100 = 43.97[/tex] % Since the percentages are not the same, statement B is false.
Option C: The percentage of Juniors who ordered a medium shirt is greater than the percentage of students who ordered a medium shirt and are also in the Junior class. Percentage of Juniors who ordered a medium shirt [tex]= (84 / 240) * 100 = 35[/tex]% Percentage of students who ordered a medium shirt and are also in the Junior class [tex]= (84 / 146) * 100 = 57.53[/tex]% Since the percentage of students who ordered a medium shirt and are also in the Junior class is greater than the percentage of Juniors who ordered a medium shirt, statement C is true.
Hence the correct option is C.
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someone please help me with this work
Answers
Answer:
-34degrees
Step-by-step explanation:
Plsss help meeeeeeeeeeeee
Answers
Answer:
x = 8
y = 14
Step-by-step explanation:
It's given in the question,
ΔABC ≅ ΔDEF
Therefore, by the property of congruence,
EF = BC, AB = ED and AC = FD
And m∠E = m∠B
Since, m∠E = m∠B
(6y - 4) = 80
6y = 80 + 4
6y = 84
y = 14
Since, AB = ED
10 = 3x - y
10 = 3x - 14
3x = 24
x = 8
find the value of x round to the nearest tenth
Answers
Answer:
88.2
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relevant relation ...
Tan = Opposite/Adjacent
tan(10°) = x/500
x = 500·tan(10°)
x ≈ 88.2 . . . . units
_____
cr sqdancefan on brainly , i saw that the same question was posted somewhere else and someone already answered it .