Answers
6+12+9
27 ft
Related Questions
If tan theta = -4/3 in quadrant II, what is cos theta?
A. -4/5
B. 3/5
C. 4/5
D. -3/5
Answers
notice, the tangent has a negative sign, for that to happen, either the numerator or denominator must be negative, who may that be? well, we know the angle is in the II quadrant, on the II quadrant, the cosine or x-coordinate (adjacent side) is negative, so, is the adjacent.
that means, the opposite side is 4 and the adjacent one is -3
well, let's find the hypotenuse
[tex]\bf \textit{using the pythagorean theorem}\\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2}\qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ c=\sqrt{(-3)^2+4^2}\implies c=\sqrt{25}\implies \boxed{c=5}\\\\ -------------------------------\\\\ cos(\theta)=\cfrac{adjacent}{hypotenuse}\qquad \qquad cos(\theta )=\cfrac{-3}{5}[/tex]
bear in mind that, the square root will give use +/- roots, however, in the case of the hypotenuse, is just the radius unit, thus is never negative.
Answer:
The answer is:
D. -3/5
Jordan is cutting a 2 meter by 1 1/4 meter piece of rectangular paper into two pieces along its diagonal. what is the area of each of the pieces?
Answers
area = 1/2 * b * h=
1/2 * 2 * 1 1/4 = 1 1/4 square meters each
Answer: area = 1/2 * b * h=
1/2 * 2 * 1 1/4 = 1 1/4 square meters each
On a floor plan drawn at a scale of 1:100, the area of a rectangular room is 30
c. what is the actual area of the room?
Answers
such that a*b=30.
Since the scale is 1:100, a represents 100a, and b represents 100b.
So the actual dimensions are 100a by 100b.
The area is 100a*100b=a*b*10,000=30*10,000=300,000 (square units)
Answer: 300,000 (square units)
what is x
3x = 0.5x2
Answers
Simplify the expression
Answers
D.
use any method to solve the equation. If necessary, round to the nearest hundredth. 11x^2=8
Answers
x^2 = 8/11
x = +/- sqrt (8/11)
x = 0.85 , -0.85
Answer:
x = + 0.85 , -0.85
Step-by-step explanation:
Given : 11x² = 8.
To find : use any method to solve the equation. If necessary, round to the nearest hundredth.
Solution : We have given that : 11x² = 8.
First we divide both sides by 11,
x² = [tex]\frac{8}{11}[/tex].
Now taking square root both sides .
x = [tex]\sqrt{\frac{8}{11}}[/tex].
x =± 0.8528.
Therefore, x = + 0.85 , -0.85
John translated parallelogram ABCD using the rule (x,y)→(x+3, y−2). If angle A is 110° and angle B is 70°, what is the degree measurement of angle A'?
Answers
Angle measurements are preserved when translations happen. Shifting a figure will not change the angle. So because angle A = 110 degrees, this means angle A' = 110 degrees as well.
Answer:
The correct answer is B. 110.
A party rental company has chairs and tables for rent. The total cost to rent 5 chairs and 3 tables is $25 . The total cost to rent 2 chairs and 6 tables is $40 . What is the cost to rent each chair and each table?
Answers
The cost to rent each chair is $5, and the cost to rent each table is also $5.
Explanation:This problem can be solved using the method of substitution in solving systems of linear equations. We can set up two equations based on the information given: 5C + 3T = 25 and 2C + 6T = 40 where C represents the rental cost of each chair and T represents the rental cost of each table.
When we simplify the second equation, we get C + 3T = 20. We can then substitute this into the first equation, which gives us 5(C + 3T) = £25. Solving these equations gives us the cost to rent each chair (C) as $5 and each table (T) as $5.
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If i want to be a real boy whats the equation?
Answers
225-(7.5²•3.14)=48.375 or 48.38 :)
Answer: 15²=225
225-(7.5²•3.14)=48.375 or to the nearest form 48.38.
Step-by-step explanation: In mathematics, an equation is a statement that asserts the equality of two expressions, which are connected by the equals sign "=".
At a store, 2 gallons of milk cost $6. Which is the value of the ratio of dollars to gallons of milk?
Answers
Answer:
3:1 or 3/1
Step-by-step explanation:
We have the next information:
Gallons of Milk Cost
2 ⇒ $6
dividing both quantities by two, we get the price for a single gallon of milk:
Gallons of Milk Cost
1 ⇒ $3
We are asked for the ratio of dollars to gallons of milk (the order is important since dollars go first than gallons) so we will have the following:
dollars:gallons or dollars/gallons
and since $3 dollars pay for 1 gallon of milk, the ratio is:
3:1 or 3/1
Simplify 1/x-10 divided by 9x/x^2-9x-10
Answers
[tex] \frac{1}{x-10} / \frac{9x}{ x^{2} -9x-10} [/tex]
When dividing, the first term is the dividend, the second term is the divisor and the answer is the quotient. When you divide fractions, you multiply the dividend with the reciprocal of the divisor. In this case
[tex] \frac{1}{x-10} * \frac{x^{2} -9x-10}{9x } [/tex]
The answer is
[tex] \frac{ x^{2} -9x-10}{9 x^{2} -90x} [/tex]
Furthermore, we can simplify the terms through factoring, The numerator could be factored into (x+1)(x-10). The denominator could be factored to 9x(x-10). Since the term (x-10) is common, you can cancel them to get to the final answer which is
(x+1)/9x
Answer:(x+1)/9x
Step-by-step explanation: Hope this helps
The probability that a flipped coin will show heads on four consecutive flips is
Answers
n!/r!(n - r)! * p^(n-r)*q^r, where
n is the number of total trials
r is the number of success in the trials
p is the probability of the an event happening in one trial
p is the probability of the an event not happening in one trial
In here there are 4 flips, so n=4. If you want to find how many heads in 4 flips, r=4 consecutive heads. Then, p = 1/2 because it could either be a head or a tail, while q=1/2 because p+q = 1. Substituting the values:
4!/4!(4 - 4)! * (0.5)^(4-4)*(0.5)^4 = 1/18 or 6.25%
If 3 consecutive integers sum to 63, the largest of the 3 = ?
Answers
3x+3=63
3x=60
x=20
Consecutive integers are: 20, 21, 22
Answer: 22
This problem states that the sum of 3 consecutive integers is 63 and it asks us to find the largest integer.
Three consecutive integers can be represented as followed.
X → first integer
X + 1 → second integer
X + 2 → third integer
Since the sum of our three consecutive integers is 24, we can write an equation.
X + X + 1 + X + 2 = 63
We can simplify our equation on the left and it will read...
3x + 3 = 63 -3 -33x = 60 ÷3 ÷3 ← divide both sides by 3X = 20Largest integer = X + 220 + 2 = 22Largest integer = 22Approximately 31,000 citizens of a country died in automobile accidents in 2015 express this toll in deaths per hour
Answers
Answer:
4 deaths per hour
Step-by-step explanation:
We have been given that approximately 31,000 citizens of the country died in automobile accident in 2015.
Since we know that 1 year = 365 days,
1 day = 24 hours
In one year there are total hours = 365 × 24 = 8,760 hours
Death per hour = [tex]\frac{31000}{8760}[/tex] = 3.5388 ≈ 4
Therefore, the toll in deaths per hour is approximately 4 in 2015.
4x + 2(x – 3) = 4x + 2x – 11 Part A: Solve the equation and write the number of solutions. Show all the steps. (6 points) Part B: Name one property you used to solve this equation. (4 points)
Answers
4x + 2(x – 3) = 4x + 2x – 11
4x + 2x - 6 = 4x + 2x - 11
6x - 6 = 6x - 11
-6 = -11
since -6 is not equal to -11, so there's no solution
B. Distributive property
Final answer:
The given equation has no solution, as simplifying both sides leads to the false statement -6 = -11. The number of solutions is zero, and the Distributive Property was used to solve the equation.
Explanation:
To solve the equation 4x + 2(x – 3) = 4x + 2x – 11, follow these steps:
Expand the left side of the equation: 4x + 2x - 6.
Combine like terms: 6x - 6.
Since the left and right side both have 4x, we can cancel out 4x from both sides, leaving 2x - 6 = 2x - 11.
Subtract 2x from both sides to get -6 = -11, which is a contradiction.
There is no solution to this equation because we arrived at a false statement. Therefore, the number of solutions is zero.
Part B: The property I used to solve this equation is the Distributive Property when expanding 2(x - 3).
How to find where the tangent line is horizontal?
Answers
the tangent line is horizontal when the slope = zero.....(f'(x) =0)
Final answer:
To determine where the tangent line to a function is horizontal, find the derivative of the function, set it equal to zero, and solve for 'x'. This value of 'x' is where the slope is zero, indicating a horizontal tangent line.
Explanation:
How to Find Where the Tangent Line is Horizontal
To find where the tangent line to a curve is horizontal, you need to determine where the slope of the tangent (which is the derivative of the function) is zero. This involves calculating the derivative of the given function and solving for the value of 'x' where this derivative equals zero.
For example, if we have a function y = 4x - x², we first find its derivative: dy/dx = 4 - 2x. Setting this derivative equal to zero gives us 4 - 2x = 0. Solving for x gives us x = 2. This is the value of x where the tangent line is horizontal.
If we are given a graph, like in a velocity-time graph, a horizontal tangent indicates a moment where the velocity is zero, signifying a change in direction of the particle. At such points, we can see that the slope of the tangent line is zero, meaning it is a horizontal tangent.
Lou has 3 over 4 of an hour to do his math homework, play video games and help with dinner. If he splits his time equally between the three activities, how much time will he spend on each?
_____ of an hour
Answers
3/4 divided by 3
3/4 *1/3 = 3/12 = 1/4
What's 9080 each number in expanded notation
Answers
Find x and the measures of the indicated parts.
BC and AC
Answers
you can make a proportion:
5÷10=6÷(x+3+9)
and then find ac=12 then find the values of x and bc
using the formula C=2TTr, find the circumference of a circle with a diameter of 28 in. round your answer to the nearest inch
A. 56in
B. 28 in
C. 44in
D.88in
Answers
radius = diameter/2
so 28/2=14
using 3.14 for PI
2*3.14*14 = 87.92 = 88 inches
so radius = 28/2 = 14
Circumference = 2 x pi x 14 = 28 pi
or from calculator = 87.96 inches ....correct to 2 decimal places
A fence is to be installed around a rectangular field. the field's perimeter is 204204 feet. find the dimensions of the field if the length of the field is 8 feet more than the width.
Answers
204188 / 4 = 51,047
width = 51,047
length = 51,055
The solution is, the dimensions of the field if the length of the field is 8 feet more than the width is:
width = 51,047
length = 51,055
What is perimeter?A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is called its circumference. Calculating the perimeter has several practical applications.
Here, we have,
given that,
A fence is to be installed around a rectangular field.
the field's perimeter is 204204 feet.
now, we have,
204204 - 16 = 204188
we get,
204188 / 4 = 51,047
so, we get,
width = 51,047
length = 51,055
Hence, The solution is, the dimensions of the field if the length of the field is 8 feet more than the width is:
width = 51,047
length = 51,055
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Two dice are rolled. Are the events, “rolling doubles” and “rolling an even sum”, mutually exclusive? Justify your response.
There are 8 students lined up at the classroom door. What is the probability that Laura and Kimiko will end up next to each other if the students arrange themselves blindfolded?
Answers
A specific example is if we rolled a pair of '3's an we get 3+3 = 6 as a result.
So in conclusion, the events "rolling doubles" and "getting an even sum" are not mutually exclusive. If the first event happens, then the second event definitely happens. The same can't be said the other way around.
-----------------------------------------------------
Problem 2)
We have 8 students. Of those 8, we have two students Laura and Kimiko that we want to keep together. In other words, we want them to be adjacent to each other. If we think of Laura and Kimiko as one student, then we have 8-2+1 = 7 "students", 6 of which are individuals who can move on their own and 2 (Laura and Kimiko) who are tied together as one "student".
There are 7! = 7*6*5*4*3*2*1 = 5040 ways to arrange these 7 "students". For any given permutation, we can have Laura on the left side or Kimiko on the left side. So there are 2 ways to arrange Laura and Kimiko.
In total there are 2*5040 = 10080 different ways to arrange all of the students where Laura and Kimiko will be next to each other.
This is out of 8! = 8*7*6*5*4*3*2*1 = 40320 ways to arrange the students where we don't worry about Laura and Kimiko sticking together.
Divide the two values: 10080/40320 = 1/4
Answer:
The answer as a fraction is 1/4
The answer as a decimal value is 0.25 (since 1/4 = 0.25)
In percent form, the answer is 25% (0.25 turns into 25% after moving the decimal 2 spots to the right)
NEED ASAP
Which linear inequality is represented by the graph?
y ≤ 1/3x − 1
y ≥ 1/3x − 1
y < 3x − 1
y > 3x − 1
Answers
Answer:B
Answer:
[tex]y\geq \frac{1}{3}x -1[/tex]
Step-by-step explanation:
To find linear inequality, first we find the equation of the line.
LEts pick two points (3,0) and (0,-1)
To get equation of a line [tex]y=mx+b[/tex], use slope formula to find slope m
[tex]m=\frac{y_2-y_1}{x_2-x_1} =\frac{0+1}{3-0} =\frac{1}{3}[/tex]
y intercept is (0,-1) . so b=-1
The equation of the line becomes
[tex]y=\frac{1}{3}x -1[/tex]
now we look at the shaded region.
the graph is shaded at the top and also we have solid line . so we use >= symbol
[tex]y\geq \frac{1}{3}x -1[/tex]
A jar of 57 coins contains only dimes and quarters. The value of all the coins in the jar is $10.05. How many dimes are in the jar?
Answers
The dimes are 28 dimes
what is Algebra?Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.
Given:
total coins = 57
So,
D + Q = 57
D= 57 - Q....(1)
0.10D + 0.25 Q = 10.05
Using (1), we get
0.10(57 - Q) + 0.25Q= 10.05
5.7 - 0.10Q + 0.25Q = 10.05
0.15Q = 4.35
Q= 29
So, dimes = 57- 29= 28 dimes
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How many ways are there to select 7 countries in the united nations to serve on a council if 1 is selected from a block of 56, 3 are selected from a block of 63 and 3 are selected from the remaining 70 countries?
Answers
Write [tex](2a)^3[/tex] without exponents.
Answers
(2a)^3 =(2)^3 (a)^3 = 8(a)^3
How do you do this problem?
Answers
HELP ASAP PLEASE QUESTION IS
Answers
9*12=108
128+108=236
236 is the answer
The formula F=9/5(K−273.15)+32
converts a temperature from kelvin K to degrees Fahrenheit F
a. Solve the formula for K
Answers
K=5/9(F-32)+273.15
The formula for K in terms of F is [tex]K = \frac{5}{9} (F - 32) + 273.15[/tex]
The given expression:
[tex]F = \frac{9}{5} (K - 273.15) + 32[/tex]
To find:
the formula for KThe formula for K is obtained by making K the subject of the formula as shown below;
[tex]F = \frac{9}{5} (K - 273.15) + 32\\\\subtract \ 32 \ from \ both \ sides \ of \ the \ equation\\\\F - 32 = \frac{9}{5} (K - 273.15)\\\\multiply \ both\ sides \ by \ 5\\\\5(F - 32) = 9(K - 273.15)\\\\divide \ both\ sides \ by \ 9\\\\\frac{5}{9} (F - 32) = K - 273.15\\\\add \ 273.15 \ to \ both\ sides \ of \ the \ equation\\\\\frac{5}{9} (F - 32) + 273.15 = K\\\\[/tex]
Thus, the formula for K in terms of F is [tex]K = \frac{5}{9} (F - 32) + 273.15[/tex]
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Graph the ellipse with equation x squared divided by twenty five plus y squared divided by four = 1.
Answers
thus, check the picture below.