Answers
Check the picture below.
[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2 + b^2} \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{7}\\ b=\stackrel{opposite}{\sqrt{95}}\\ \end{cases} \\\\\\ c=\sqrt{7^2~~ + ~~(\sqrt{95})^2}\implies c=\sqrt{49+95}\implies c=\sqrt{144}\implies c=12 \\\\[-0.35em] ~\dotfill\\\\ sin(C )=\cfrac{\stackrel{opposite}{\sqrt{95}}}{\underset{hypotenuse}{12}}\implies sin(C)\approx \text{\LARGE 0.81}[/tex]
Related Questions
Find the equation of the line show
Answers
Answer:
the equation is y=1/2+0.5
1. Which of the following expressions are equivalent? Select all that apply. Use mathematics to show why they are equivalent.
A. 2 (x+4)
B. 8+2x
C. 2x+4
D. 3 (x+4)-(4+2)
E. x +4
Answers
PLEASE HELP ME!
WILL GIVE BRAINLIEST!
Answers
You reflect the triangle below over the x-axis.
Answers
Answer:
(-5,3)
Step-by-step explanation:
That's the coordinates of it being reflected over X axis for point P.
Two hundred liters of a punch that contains 35% fruit juice is mixed with300 liters of another punch. the resulting fruit punch is 20% fruit juice. find the percent of fruit juice in the 300liters of punch
Answers
If two hundred liters of a punch that contains 35% fruit juice is mixed with 300 liters of another punch and the resulting fruit punch is 20% fruit juice, then the percent of fruit juice in 300 liters of punch is calculated to be 10%.
The percentage of fruit juice in 300 liters of punch can be calculated by forming a linear equation.
A linear equation also termed a first-degree equation is an equation with one or more variables that have the highest power of one.
A linear equation for this problem can be given as:
the volume of the first punch × percentage of fruit juice in the first punch + the volume of the second punch × percentage of fruit juice in the second punch = total volume × total percentage of fruit juice
Consider x = percentage of unknown fruit juice
Now add the given values in the equation:
200 × 35 + 300(x) = 500 × 20
7000 + 300(x) = 10000
300(x) = 10000 - 7000
300(x) = 3000
x = 3000 / 300
x = 10%
Hence, the percentage of fruit juice in 300 liters of punch is calculated to be 10%.
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Use integration and trigonometric substitution to find the area enclosed by the ellipse: x 2 4 y 2 81 = 1 .
Answers
The area enclosed by the ellipse [tex]\frac{x^2}{4}+\frac{y^2}{81}=1[/tex] is 60 square units.
The general form of the equation of ellipse is [tex]\frac{x^2}{a^2}+\frac{y^2}{b^2}=1[/tex]
Given the equation of ellipse is, [tex]\frac{x^2}{4}+\frac{y^2}{81}=1[/tex]
⇒ [tex]\frac{x^2}{2^2}+\frac{y^2}{9^2}=1[/tex]
That is, a = 2 and b = 9
Now, [tex]\frac{y^2}{9^2} = 1 -\frac{x^2}{2^2}[/tex]
⇒ [tex]y=\frac{9}{2} \sqrt{4-x^2}[/tex]
Area enclosed by the ellipse = 4 x Area of ellipse in the first quadrant
Therefore, Area of ellipse in the first quadrant, A = [tex]\int\limits^a_0{\frac{9}{2} \sqrt{4-x^2}} \, dx[/tex]
Using Substitution ,x = 2cosθ, then dx = -2sinθdθ and x = 0⇒ θ = π/2 and x = 2⇒ θ = 0
A = [tex]\int\limits^a_0{\frac{9}{2} \sqrt{4-4cos^2\theta}} \, dx[/tex]
= [tex]\int\limits^2_0{\frac{9}{2}\times2 \sqrt{1-cos^2\theta}} \, dx[/tex]
= [tex]\int\limits^2_0{9 sin^2\theta} \, dx[/tex]
= [tex]\int\limits^0_\frac{\pi}{2} {9 sin^2\theta} (-2sinx)\, d\theta[/tex]
= [tex]\int\limits^\frac{\pi}{2} _0{18 sin^3\theta} \, d\theta[/tex]
= [tex]\int\limits^\frac{\pi}{2} _0{18 (\frac{3sin\theta-sin3\theta}{4} )} \, d\theta[/tex]
= [tex]\frac{9}{2} \int\limits^\frac{\pi}{2} _b {3sin\theta} \, d\theta -\frac{9}{2} \int\limits^\frac{\pi}{2} _0 {sin3\theta} \, d\theta[/tex]
= 27/2 x (-cosθ) - 9/6 x (-cos3θ) | θ = 0 to θ = π/2
= 15 square units.
Therefore, the area enclosed by ellipse [tex]\frac{x^2}{4}+\frac{y^2}{81}=1[/tex] = 4 x A = 4 x 15 = 60 square units.
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solve:
2(3x-2)+5x-3=2
SHOW ALL STEPS
Answers
Answer:
x = 9/11
Step-by-step explanation:
distribute the 2:
6x - 4 + 5x - 3 + 2
combine like terms:
11x - 7 = 2
add 7 to both sides:
11x = 9
divide by 11 to isolate x:
x = 9/11
Step-by-step explanation:
Distribute 2 to 3x-2
[tex]6x - 4 + 5x - 3 = 2[/tex]
Them combined like terms
[tex]11x - 7 = 2[/tex]
Then add 7 to both sides
[tex]11x = 9[/tex]
Then divide by 11 and get
[tex] \frac{9}{11} [/tex]
A researcher measures eye color for a sample of n = 50 people. which measure of central tendency would be appropriate to summarize the measurements?
Answers
According to the statement:
Mode measure of central tendency would be appropriate to summarize the measurements.
The correct option is B.
Briefing:We can't use mean or median because they have no physical meaning, i.e., eyes that are somewhere between black and white.
When you need to use all of the data's values, you would use the mean. When you only need to use two values, such as the upper and lower values, you would use the median. And when ones data is unobservable, such as when you need to determine peoples' opinions, you would use the mode.
What is mean ,Midian and mode?Add up all the values inside the data set, then divide by the total number of values to find the mean. List the data set's values in numerical order, and then find the value that sits in the middle of the list to determine the median. Choose the data set value that appears the most frequently to determine the mode.
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I understand that the question you are looking for is:
A researcher measures eye color for a sample of n = 50 people. Which measure of central tendency would be appropriate to summarize the measurements?
Select one:
a. weighted mean
b. mode
c. median
d. mean
determine the position of each hidden term. -14 is the _th term of 2 1/5, 2 , 1 4/5
Answers
-14 is the 81th term.
What is the position of -14?The first step is to determine the relationship between the numbers in the sequence. When examined, it can be seen that the number decline by 1/5.
To confirm : 2 1/5 - 2 = 1/5
The linear equation that can be used to determine the position of a number is:
2 1/5 - 1/5(x)
Where x is the position of the number
For example, the third number is
2 1/5 - 1/5(3) = 1 4/5
Given the number, the position of the number can be determined using the above linear equation:
-14 = 2 1/5 - 1/5(x)
In order to determine the value of x, take the following steps:
Multiply through by 5
(-14 x 5) = (11/5 x 5) - (x / 5 x 5)
-70 = 11 -x
Combine similar terms: 70 + 11 = x
Add similar terms: x = 81
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26. Paul had 3 7/8 cups of milk. He gave 1 %4 cups of milk to his cat. How much milk did he have left?
HELP PLEASE!!! :( .
Answers
Answer: The cat has left over the milk is 3.625 cups
Step-by-step explanation:
Amount of cups of milk=3(7/8) cups
That means, 3(7/8) cups= 31/8 cups
Amount of milk cat gave=1/4 cups
The amount of left over the milk :
Subtract with this values
=(31/8) -(1/4)
=3.875-0.25
=3.625
The cat has left over the milk is 3.625 cups
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Simplify the equation
-1/9(5g-3)2/9g
PLEASE SHOW WORK
Answers
Answer:
= −10/81g^2+2/27g
Step-by-step explanation:
---------------
Help me out to get the answer please
Answers
Answer:
21
Step-by-step explanation:
1+6=7
7+4=11
11+11=21
Answer:
m=7
Step-by-step explanation:
it's in the picture
the left got cut out but there's a bracket at the end of the first line
How many quarters are in four and a half pizzas?
Draw a diagram to justify your answer.
Answers
Which statement describes the order of rotational symmetry for an isosceles triangle?
An isosceles triangle has an order 0 rotational symmetry because there is no angle at which it can be rotated onto itself.
An isosceles triangle has an order 1 rotational symmetry because it does not have all congruent angles.
An isosceles triangle has an order 2 rotational symmetry because it has 1 pair of congruent angles.
An isosceles triangle has an order 3 rotational symmetry because it has 3 angles.
Answers
The statement B is correct which states that the An isosceles triangle has an order 1 rotational symmetry because it does not have all congruent angles.
According to the statement
We have to find that the correct statement about the rotational symmetry for an isosceles triangle.
So, For this purpose, we know that the
Rotational symmetry, also known as radial symmetry in geometry, is the property a shape has when it looks the same after some rotation by a partial turn.
From the given information:
Then from isosceles triangle,
An isosceles is a triangle that has two sides of equal length.
The isosceles theorem says that the angles opposite to the equal sides of a triangle are equal.
Thus, it also has two equal angles and one non equal angle. Thus, it does not have all congruent angles.
The order of rotational symmetry of a figure is the number of times we rotate up to 360° the figure such that it looks exactly the same as the original figure.
When we rotate the isosceles triangle up to 360° , only 1 time it looks exactly same as in the beginning because at each rotation the order of angles changes.
Therefore, The statement B is correct which states that the An isosceles triangle has an order 1 rotational symmetry because it does not have all congruent angles.
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Answer: B. An isosceles triangle has an order 1 rotational symmetry because it does not have all congruent angles.
Step-by-step explanation: right on edge 2023
sx+tx=r solve the literal equation for x
Answers
Answer:
[tex]x = \frac r{s + t}[/tex]
Step-by-step explanation:
Hello!
Solve by isolating the variable.
Solve for x[tex]sx + tx = r[/tex][tex]s(x) + t(x) = r[/tex][tex]x(s + t) = r[/tex][tex]x = \frac r{s + t}[/tex]The solution for x is [tex]x = \frac r{s + t}[/tex].
Analyze the table of values for the continuous function, f(x), to complete the statements.
A local maximum occurs over the interval
.
A local minimum occurs over the interval
.
Answers
A local maximum occurs over the interval (-2,0)
A local minimum occurs over the interval (0,2)
How do you find a function's maximum value?
We may calculate the maximum of a continuous and twice differentiable function f(x) by first differentiating it with respect to x and then equating it to 0.
A local maximum occurs over the interval (-2,0)
A local minimum occurs over the interval (0,2)
Step-by-step explanation:
-lukelaws hope i helped if i di please give me brainliest if i was wrong i am very sorry!
15. On the cross-country team, 7th graders
are required to run x number of miles each
morning. 8th graders are required to run 15%
more than the 7th graders. Which expression
represents the number of miles an 8th grader
is required to run?
Answers
Please help !!! , I have 8 mins left on the clock .
Express the relation below as a set of ordered pairs.
Answers
By critically observing the graph shown above, the set of ordered pairs include the following:
(-1, 5)(4, -3)(-5, -3)(0, 5)(-4, 5)What is a graph?A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.
What is an ordered pair?An ordered pair can be defined as a pair of two elements that are typically written in a fixed order within parentheses as (x, y), which represents the x-axis (abscissa) and the y-axis (ordinate) on a coordinate plane.
By critically observing the graph shown above, we can logically deduce that the set of ordered pairs include the following:
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Write the equation of the line in slope-intercept form.
It has a coefficient of m = -1 and passes through the point (9, 4).
Answers
Answer:
y=-x+13
Step-by-step explanation:
m=-1
m is slope
point is (9, 4)
first use point slope equation
y-y1=m(x-x1)
y-9=-1(x-4)
distribute
y-9=-x+4
isolate the y variable
y=-x+13
When dividing 5 by 4, is a answer a rational number explain
Answers
Dividing the number 5 by 4 gives a rational number 5/4.
What is defined as the rational numbers?The word 'rational' comes from the word 'ratio.'
As a result, rational numbers are attributable to the concept of fractions, which represent ratios. In other words, a rational number can be represented as a fraction in which both the numerator and denominator are integers.Rational numbers also include integers, whole numbers, natural numbers, or fractions with integers.If a number's decimal form is terminating or recurring, as in 5.6 or 2.141414, we know it is a rational number.Irrational numbers are those in which the decimals appear to be never-ending or non-recurring.For the given expression;
When 5 is divided by the number 4, 4 will not completely divide the number 5 as 5 is not the multiple of 4.
Thus, dividing 5 by 4 gives the rational number 5/4.
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Under his cell phone plan, Deion pays a flat cost of $39 per month and $4 per
gigabyte. He wants to keep his bill at $49.40 per month. How many gigabytes of data
can he use while staying within his budget?
Answers
Answer:
your answer is xx = (53.80 - 45) / 4
6y [tex]\geq[/tex] 30
Answers
Answer:
y ≥ 5
Step-by-step explanation:
[tex]\frac{6y}{6}\ge \frac{30}{6}\\\frac{30}{6} = 5\\y \ge 5[/tex]
Hope this helps.
The following are the weights (in pounds) of seven people:
100, 115, 135, 140, 180, 197, 230.
find the 80th percentile.
Answers
The 80th percentile is 125.37.
It is required to find the solution.
What is percentage?A part of a whole expressed in hundredths a high percentage of students attended. Also the result obtained by multiplying a number by a percent the percentage equals the rate times the base.
Given:
The weights (in pounds) of seven people:
100, 115, 135, 140, 180, 197, 230.
We have to find the 80th percentile first we have to find the mean of seven people.
Mean=100+ 115+135+140+ 180+197+ 230/7
Mean=156.71
100 percent=156.71
80 percent=156.71*80/100
80 percent=125.37.
Therefore, the 80th percentile is 125.37.
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Does the fugue below appear to have line symmetry if so how many lines of symmetry
Answers
Answer:
It has 1 line off symmetry.
Step-by-step explanation:
it has one straight from the top point all the way down.
Monica has a goal to complete a triathlon. The race consists of a 2.4-mile swim, a 112-mile bike ride, and a 26.2-mile run. In training, Monica can swim at an average pace of 1.8mph. She rides her bike at an average of 19.2mph and runs at 4.8mph. Estimate how long it will take her to complete the triathlon.
Answers
Taking into account the definition of speed, Monica will complete the triathlon in 12.62 hours.
Definition of speedSpeed can be defined as the amount of space traveled per unit of time with which a body moves and can be calculated using the expression:
speed= distance traveled÷ time
Time to complete the triathlonIn this case, you know
Swim:speed= 1.8 mphdistance traveled= 2.4 milesRide a bikespeed= 19.2 mphdistance traveled= 112 milesRun:speed= 4.8 mphdistance traveled= 26.2 milesReplacing these values in the speed definition:
Swim: 1.8 mph= 2.4 miles÷ time to swimRide a bike: 19.2 mph= 112 miles÷ time to ride a bikeRun: 4.8 mph= 26.2 miles÷ time to runSolving:
Swim: 1.8 mph×time to swim= 2.4 miles
time to swim= 2.4 miles÷ 1.8 mph
time to swim= 1.33 h
Ride a bike: 19.2 mph× time to ride a bike = 112 miles
time to ride a bike= 112 miles÷ 19.2 mph
time to ride a bike=5.83 h
Run: 4.8 mph× time to run= 26.2 miles
time tu run= 26.2 miles÷ 4.8 mph
time to run= 5.46 h
The time to complete the triathlon is the sum of each of the stages:
Total time= time to swim + time to ride a bike + time to run
Total time= 1.33 h + 5.83 h + 5.46 h
Total time= 12.62 h
In summary, Monica will complete the triathlon in 12.62 hours.
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Which of the following are solutions to the equation below?
Check all that apply.
(4x-1)² = 11
A. x = -√12/4
B. x=-√11+1/4
C. x=√11+1/4
D. x=-√11+1/4
E. x=√12/4
F. x=√11+1/4
Answers
Answer:
A.
B.✅
C.✅
D.✅
E.
F.✅
Step-by-step explanation:
[tex](4x-1)² = 11 \\ 4x-1 = \sqrt{11 } \\ 4x = \sqrt{11} + 1 \\ x = \frac{ \sqrt{11} + 1 }{4} [/tex]
what is an equivalent fraction -9 - (-4 1/3)
Answers
Answer:
Step-by-step explanation:12
Give me the integer value for Y on x+y=8
Answers
Answer:
5
Step-by-step explanation:
To find a value for y given a value for x, substitute the x-value into the expression
Answer:
Step-by-step explanation:
x + y = 8
Let x = 2
then:
2 + y = 8
y = 8 - 2
y = 6.
This is one integer value for y.
Assuming a 5-point difference between the two sample means, which set of sample characteristics is most likely to produce a significant value for the independent-measures t statistic?
Answers
A large mean difference and small sample variances. The correct option is B.
What are sample statistics?A statistical measure known as the effect size () assesses the magnitude of the link (numerically) between two variables. The difference between the weights of male and female candidates, for instance, is known as the effect size. If we obtain information on the weights of male and female candidates and discover that men are, on average, heavier than women, for example.
The weight difference between men and women will increase as the effect size increases. Statistic effect size aids in determining whether a difference is real or the result of changing variables. Effect size, power, sample size, and critical significance level are all related to hypothesis testing.
Therefore, a large mean difference and small sample variances. The correct option is B.
The complete options are given below:-
a. A small mean difference and small sample variances
b. A large mean difference and small sample variances
c. A small mean difference and large sample variances
d. A large mean difference and large sample variances
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Solve the simultaneous equation
-4x+3y=1
6x-y=2
Answers
Step-by-step explanation:
multiply 6x - y = 2 by 3 and subtract the first equation from the second
18x-3y=6 - (-4x+3y=2
3y is cancelled and after the others are subtracted the equation becomes
22x = 4
x = 2/11
Answer:
The value of x = 1/2
The value of y = 1
Step-by-step explanation:
Let's change the equation,
→ 6x - y = 2
→ y = 6x - 2
Then the value of x will be,
→ -4x + 3y = 1
→ -4x + 3(6x - 2) = 1
→ -4x + 18x - 6 = 1
→ 14x = 1 + 6
→ x = 7/14
→ [ x = 1/2 ]
Hence, the value of x is 1/2 (or) 0.5.
Now the value of y will be,
→ y = 6x - 2
→ y = 6(1/2) - 2
→ y = 3 - 2
→ [ y = 1 ]
Hence, the value of y is 1.