Step-by-step explanation:
Let the rhombus be $ABCD$, where $\angle DAB = 120^\circ$. Then $\angle ABC = 180^\circ - \angle DAB = 180^\circ - 120^\circ = 60^\circ$.
[asy] unitsize(1 cm); pair A, B, C, D; A = (0,1); B = (sqrt(3),0); C = (0,-1); D = (-sqrt(3),0); draw(A--B--C--D--cycle); draw(A--C); label("$A$", A, N); label("$B$", B, E); label("$C$", C, S); label("$D$", D, W); label("$6$", (A + D)/2, NW); [/asy]
Since $AB = BC$, triangle $ABC$ is equilateral. By the same argument, triangle $ACD$ is also equilateral. Each triangle has area
\[\frac{\sqrt{3}}{4} \cdot 6^2 = 9 \sqrt{3},\]so the area of the rhombus is $2 \cdot 9 \sqrt{3} = \boxed{18 \sqrt{3}}$.
What is the measure of the missing angle x?
Answer:
C. 60°
Step-by-step explanation:
Add the two given angles and subtract from 180°
Answer:
C. 60
Step-by-step explanation:
The total degrees in a triangle is 180. Add up the given angles measures and subtract from 180 to find x.
52 + 68 + x = 180
120 + x = 180
x = 60
Lines l and m are parallel. Parallel lines l and m are cut by transversals s and t. Clockwise from top left, the angles formed by s, t, and l are blank, 85 degrees, (2 x) degrees, (x minus 10) degrees, 1, blank; formed by s and m are blank, 2, blank, blank; formed by t and m are 3, blank, blank, blank. What is the measure of angle 3? 25 degrees 35 degrees 70 degrees 85 degrees
Answer:
25 degrees
Step-by-step explanation:
In the picture attached, the lines and the angles are shown. There we can see that:
85° + 2x° + (x-10)° = 180°
75 + 3x = 180
x = (180 - 75)/3
x = 35°
∠3 and ∠(x-10)° are alternate interior angles, therefore they are congruent, so:
∠3 = x - 10
∠3 = 35 - 10
∠3 = 25°
Answer:
a
Step-by-step explanation:
edge 2020
The graph below shows the distances, in miles, that a dragonfly can travel in a certain number of hours: Based on the graph, what is the dependent variable, the equation relating the two variables, and how far will the dragonfly travel in 24 hours if it continues to fly at the same speed? (1 point) Select one: a. The dependent variable is time, the equation is y = 22x, and the dragonfly will travel 528 miles. b. The dependent variable is time, the equation is x = 22y, and the dragonfly will travel 1,056 miles. c. The dependent variable is distance, the equation is y = 22x, and the dragonfly will travel 528 miles. d. The dependent variable is distance, the equation is x = 22y, and the dragonfly will travel 1,056 miles.
Answer:
C
Step-by-step explanation:
The dependent variable is the one on the y-axis which would be distance. This makes sense because the amount of time the dragonfly flies determines the distance it flies. The equation is y = 22x. When x = 24, y = 22 * 24 = 528.
1000 ml solution of acetic acid contains 21 mL of pure acetic acid find the percent concentration of the solution simplify your answer completely
Answer:
Step-by-step explanation:
download math photo it will give you free answers
f (x) = (x - 6)^2(x + 2)^2
Determine the total number of roots of each polynomial function using the factored form
Answer:
x = 6 or x = -2
Step-by-step explanation:
Solve for x:
(x - 6)^2 (x + 2)^2 = 0
Split into two equations:
(x - 6)^2 = 0 or (x + 2)^2 = 0
Take the square root of both sides:
x - 6 = 0 or (x + 2)^2 = 0
Add 6 to both sides:
x = 6 or (x + 2)^2 = 0
Take the square root of both sides:
x = 6 or x + 2 = 0
Subtract 2 from both sides:
Answer: x = 6 or x = -2
Answer:
It is 4 on Edgenuity
Step-by-step explanation:
I took the test
The countries population in 1992 was 147 million . In 1996 it’s was 153 million. estimate the population in 2008 used The exponential growth formula. Round your answer to the nearest million
Answer:
The population in 2008 is 171 million
Step-by-step explanation:
In order to calculate the population in 2008 using the exponential growth formula we would have to make the following calculation:
population in 2008= population in 1996 + population increased between 1996 and 2008
According to the given data:
population in 1996=153 million
population in 1992=147 million
Therefore, the increase of population from 1992 to 1996=153 million-147 million= 6 million
Therefore, the increase of popoulation is 1 1/2 million each year.
Therefore, if from 1996 and 2008 are 12 years, the population increased between 1996 and 2008= 12 x 1 /1/2 = 18 million.
Therefore, population in 2008=153 million + 18 milliion
population in 2008=171 million
The population in 2008 is 171 million
what is y=-1/4x+4 written in standard form? plsss help!
Answer:
The standard form of this slope-intercept form is x + 4y = 16.
Answer:
x + 4y =16
Step-by-step explanation:
[tex]y= \frac{-1}{4}x+4[/tex]
Multiply by 4
[tex]4y=4*\frac{-1}{4}x+4*4\\\\[/tex]
4y = -x + 16
x + 4y =16
Which best summarizes the Pythagorean Theorem?
A- The sum of the squares of the lengths of the legs of a right triangle equals the square of the length of the hypotenuse.
B- The length of the hypotenuse of a right triangle is greater than the sum of the lengths of the legs.
C- The sum of the lengths of the legs of a right triangle equals the length of the hypotenuse.
D- For any triangle, the sum of the squares of any two side
lengths is equal to the square
of the third side length.
Answer: A
Step-by-step explanation:
[tex]a^{2} + b^{2} = c^{2}[/tex]
A and B are the legs of the triangle, and c is the hypotenuse. A would make the most sense.
The sum of the squares of the lengths of the legs of a right triangle equals the square of the length of the hypotenuse.
What is Pythagoras theorem?" In a right angled triangle the square of the hypotenuse is equals to the sum of the square of the other two sides of the right angled triangle."
According to the question,
As per the Pythagoras theorem ,
(Hypotenuse)² = (Adjacent side)² + ( opposite side)²
Hence, we conclude that Option A is correct.
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Jada sells her artwork at a trade show. She made $40 on the first day by selling one photograph, one painting, and one necklace. She made $110 on the second day by selling two photographs, three paintings, and three necklaces. She made $50 on the last day by selling one photograph, one painting, and two necklaces. Which system of equations matches Jada's sales at the trade show?
Answer:
x + y + z = 40
2x + 3y + 3z = 110
x + y + 2z = 50
Step-by-step explanation:
let
x = photograph
y = painting
z = neckless
the first part reads that jada sells 1 photograph, 1 painting, and 1 neckless. this written in a mathematical formula will be x + y + z = 40
the second part reads that jada sold 2 photographs, 3 paintings, 3 necklaces. This written as a mathematical formula will be 2x + 3y + 3z = 110
the third part reads that jada sold 1 photograph, 1 painting, and 2 necklaces. this written in a mathematical formulawill be x + y + 2z = 50
The owner of a produce stand is selling baskets of peaches, priced by the kilogram. She rounded each measurements to the nearest 1/2 of a kilogram
Answer: 1 1/2
Step-by-step explanation:
6 1/2 - 5 = 1 1/2
To be able to compete in a particular class, a bodybuilder can weigh in at no more than
175 pounds and no less than 145 pounds. If the clothes the wrestlers wear add 1
pound, what is the actual weight range, in pounds, for these bodybuilders (in interval
notation)?
Answer:
Range of weight = 176 - 146 pound
Step-by-step explanation:
Given:
Maximum weight = 175 pound
Minimum weight = 145 pound
Clothes weight = 1 pound
Find:
Range of weight
Computation:
Range = maximum weight - 1 pound
Range = minimum weight + 1 pound
Range = 175 - 1 pound
Range = 145 + 1 pound
Range = 174
Range = 146
Range of weight = 176 - 146 pound
Question 6 (5 points)
Solve for the variable x in the equation x + 15 = 62.
Answer: x = 47
Step-by-step explanation: When you're asked to solve for x in an equation, what you're really being asked to do is get x by itself on one side of the equation.
In this problem since 15 is being added to x, in order to get x by itself,
we must subtract 15 from the left side of the equation.
If we subtract 15 from the left side, we must also subtract 15 from
the right side of the equation to keep the equation balanced.
So we have x = 47.
What is the solution to 4x+6 is less than or equal to 18?
Hey there! :)
Answer:
x ≤ 3
Step-by-step explanation:
Given:
4x + 6 ≤ 18
Subtract 6 from both sides:
4x ≤ 12
Divide both sides by 4:
4x/4 ≤ 12/4
x ≤ 3
Step-by-step explanation:
4x+6 <_ 18
-6 -6
4x <_ 12
Divide 4 both sides by 4
Therefore, x is less than or equal to 3
Ella makes a smoothie for breakfast every morning. Today, she wants to use melon, apple, orange, and peach. In how many different ways (orders) can she add these fruits to her blender?
Answer: The number of different ways (orders) she can add these fruits to her blender = 24
Step-by-step explanation:
Given, Ella makes a smoothie for breakfast every morning. Today, she wants to use melon, apple, orange, and peach.
i.e. Total fruits = 4
The number of ways to order n things = n!
Therefore, the number of different ways (orders) she can add these fruits to her blender = 4!
= 4 x 3 x 2 x 1
= 24
Hence, the number of different ways (orders) she can add these fruits to her blender = 24
Answer:
the correct answere is actully 120 ways.
Step-by-step explanation:
Find the equation of the exponential function represented by the table above
Answer: Y = 3 × 2^x
Step-by-step explanation:
Let assume that the equation of the exponential function represented by the table is
Y = 3(2)^x
When x = 0
Substitute x for 0. Then,
Y = 3 × 2^0
Anything raised to power of zero is equal to one.
Y = 3 × 1 = 3
When x = 1
Repeat the process
Y = 3(2)^1
Y = 3 × 2 = 6
When x = 2
Y = 3(2)^2
Y = 3 × 4 = 12
And finally, when x = 3
Y = 3(2)^x
Substitute x for 3
Y = 3 × 2^3
Y = 3 × 8
Y = 24.
We can therefore conclude that the equation of the exponential function represented by the table above is
Y = 3 × 2^x
The cost of a car is supposed to be no more than 80% of the value for the next year's
model. If a car costs $14,000, what is the cost of the next year's model?
Answer:
x ≥ $17, 500
Step-by-step explanation:
To find the cost of the next year model, we will follow the steps below;
Let x be the value of next year's model
$14000 ≤ 80% of x
80% of x ≥ $14000
80% × x ≥$14000
80x/100 ≥ $14000
multiply both-side of the equation by 100
80x ≥ $1400000
Divide both-side of the inequality by 80
80x /80 ≥ $1400000 / 80
x ≥ $17, 500
Therefore the cost of next year's model is
x≥$17, 500
1. How much ribbon is required to wrap once around a basketball present? Basketballs are 78 cm in
diameter
2 Two cars leave the park at the same time. One travels north at a speed of 50 km/h for 2 hours. The
second car travels west at a speed of 80 km/h for 2 hours. After the 2 hours, how far apart are the two
cars? Be sure to draw a diagram illustrating this situation
3 Asmall tree is beginning to lean The owner decides to set up a tension wire to straighten the tree's
growth The owner chooses a wire which is 5 m in length to straighten the tree. The tree is 4 m high
How far must the owner secure the bottom of the wire from the base of the tree (assuming he attaches
the tension wire to the top of the tree)?
Answer:
1) 244.92cm 2) 188.68 km 3) 3m
Step-by-step explanation:
1) We are finding the circumference of the basketball in this situation. C=pi(d), d=diameter, C=circumference. So, C= 3.14(78), and finally C= 244.92 cm.
2) We can begin to approach this problem by finding how far each car has traveled over 2 hours. The car heading north is going 50 km/h, so for two hours it has covered 100 kilometers. The car going west is at 80 km/h, so for two hours it has covered 160 kilometers. Now, we could draw this as a right triangle, with one leg being the north-headed car 100 km away from the start, and the other leg being the west moving car 160 km away from the start. The hypotenuse represents the distance between them. Now we use the pythagorean theorem! north car is a, west car is b. a^2+b^2=c^2. 100^2+160^2=c^2. 35600=c^2. take the square root of both sides for c=188.68. The distance between the two cars is approx 188.68 km.
3) `This situation can be represented as a right triangle. The height of the tree, 4m, is the height of the triangle, and the wire, 5m, is the hypotenuse. We are trying to find one of the legs, which represents the ground to the base of the tree. In the pythagorean theorem, we have a^2 and c^2, and just need to find b^2. Let's plug it into the equation:
4^2+b^2=5^2
16+b^2= 25
b^2=9
b=3
hope this helped it took a long time to explain it all! :)
Using a number cube and this hat with 5 different-colored marbles, which simulation would help you answer this question? During the first 70 days of school, Becca’s science class does a lab experiment 2/3 of the time. The class meets Monday through Friday. If you choose a class at random, what are the chances that Becca did a lab experiment on a Friday?
Answer:
see the attachment
Step-by-step explanation:
We assume that the question is interested in the probability that a randomly chosen class is a Friday class with a lab experiment (2/15). That is somewhat different from the probability that a lab experiment is conducted on a Friday (2/3).
Based on our assumption, we want to create a simulation that includes a 1/5 chance of the day being a Friday, along with a 2/3 chance that the class has a lab experiment on whatever day it is.
That simulation can consist of choosing 1 of 5 differently-colored marbles, and rolling a 6-sided die with 2/3 of the numbers being designated as representing a lab-experiment day. (The marble must be replaced and the marbles stirred for the next trial.) For our purpose, we can designate the yellow marble as "Friday", and numbers greater than 2 as "lab-experiment".
The simulation of 70 different choices of a random class is shown in the attachment.
_____
Comment on the question
IMO, the use of 70 trials is coincidentally the same number as the first 70 days of school. The calendar is deterministic, so there will be exactly 14 Fridays in that period. If, in 70 draws, you get 16 yellow marbles, you cannot say, "the probability of a Friday is 16/70." You need to be very careful to properly state the question you're trying to answer.
Answer:
D,
Method:
Roll, pick, and replace a marble 70 times
Count number of times...
Roll Greater than 2 AND pick a yellow marble
Step-by-step explanation:
Well first of all, I wouldn't leech, and second of all, this is a game of trust.
lol
jk
I know this is correct due to probability calculations,
You know there is a 1/5 probability chance of getting a yellow marble, and there are 5 days that the school goes off of.
You also know that you can get 3, 4, 5, or 6 on the dice (as long as it is fair) and that would be 4/6 of a chance or 2/3.
The experiments are on 2/3 of the 70 days, and there are 5 school days per week.
Kinda of a no-brainer if you understand how this kinda works.
Hope this helps!
Hopefully this explains this question where you can understand!
[tex]\red{plz \: \: \: help} \\ \green{will \: \: give \: \: the \: \: brainliest} \\\blue{ need \: \: \: explanation}[/tex]
Since [tex] \frac{dy}{dx}=-3-4x[/tex], putting $x=0$ gives us the gradient of the tangent at the point where the curve cuts the Y axis.
Thus $\frac{dy}{dx}=-3$
Answer:
Since , putting $x=0$ gives us the gradient of the tangent at the point where the curve cuts the Y axis.
Thus $\frac{dy}{dx}=-3$
Step-by-step explanation:
Find the area of the triangle. Choices- Question 8 options: a) 70 units2 b) 35 units2 c) 28 units2 d) 14 units2
Answer:
35 (b)
Step-by-step explanation:
Area of a triangle = (height times base)/2
Height = 5
Base = 14
14 times 5 = 70
70/2 = 35
Answer:
it was b ) 35 units
Step-by-step explanation:
cuz 5*14 you got 70
then when is a triangle you have to do 70 divide by half
so you will got you answer which is b)35 units
hope it helps
What is the slope of the line represented by the equation y=-1/2x + 1/4?
Answer:
The slope is -1/2 and the y intercept is 1/4
Step-by-step explanation:
y=-1/2x + 1/4
This is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
The slope is -1/2 and the y intercept is 1/4
Hey guys please help find the area
Which inequality is true?
A. 6 – 7 > 3
B. 12 > 4
C. 87 > 24
D. 3.14 + 3 < 6
Answer:
A
Step-by-step explanation:
Answer:
the awnser is a
Step-by-step explanation:
Which of the following lines has a negative slope?
Answer: 3rd graph
Explanation: In order to determine which graph shows a downward or negative slope, we need to be able to look at each of the graphs and determine which line is decreasing when going from left to right.
Notice that the 3rd graph is the only graph with a downward
or negative slope which means that this is our answer.
Answer: mark the guy above as brainiest he deserves it.
Step-by-step explanation:
Find the y-intercept of the rational function. (0, −2) (−2, 0) (0, 6) (6, 0)
Answer:
(0, - 2)
Step-by-step explanation:
The y-intercept of the rational function is (0, −2).
Determine whether the function is linear or quadratic. Identify the quadratic, linear, and constant terms.
Answer:
B
Step-by-step explanation:
Use FOIL method
3x(5x) + 3x(- 2) + 3(5x) + 3(- 2)
Simplify to get 15 x^{2} -6x+15x-6
Combine like terms to get 15x^2+9x-6
quadratic funcntion
quadratic term: 15x^2
linear term: 9x
constant: -6
(sorry this was late I had other work and I didn't see this until now)
please mark me brainliest!
If f(x) = 6x
6x – 9 and g(x) = (x + 6,
which statement is true?
Answer: The second option is correct, 6 is in the domain of f composition g.
Help me ASAP for this question
Answer:
18 : 3
Step-by-step explanation:
Basic proportionality question. All we need to here is to expression the given fractions ( [tex]11 \frac{2}{3}[/tex], and [tex]1 \frac{17}{18}[/tex] ) as a fraction itself, and hence expressing the ratio we need to get, in fraction form.
[tex]11 \frac{2}{3} / 1 \frac{17}{18}\\\\[/tex] - So, we have expressed this in a fraction, which we want to reduce
[tex]= \frac{35}{3} / \frac{35}{18}[/tex] - The fractions have been taken as improper fractions
[tex]\\\\= \frac{35}{3}( \frac{18}{35} )\\ \\[/tex] - Now we took the inverse fraction, through multiplication
[tex]= 18 / 3[/tex] - 35 and 35 cancel out, leaving us with the simplified fraction 18 / 3
_____
So now we have 18 / 3, the ratio in fraction form. The scale is thus 18 to 3, or in other words 18 : 3.
Hope that helps!
I WILL MAKE BRAINLY
Which description matches the graph of the inequality y<-1/2x+5? a shaded region above a dashed boundary line a shaded region below a dashed boundary line a shaded region below a solid boundary line a shaded region above a solid boundary line
Answer:
a shaded region below a dashed boundary line
Step-by-step explanation:
this inequality uses the "less than" symbol (<), so we will use a dashed line because we are not including the values on the line
plug in (0,0) to see if we are shading above or below the line
0 < -1/2(0) + 5
0 < 5
this is true, so we will shade in the side that the point (0,0) is located, which is below the line (we know this because the inequality has a y intercept of 5)
Solving absolute value inequalities requires solving compound inequalities.
O True
O False
The statement "Solving absolute value inequalities requires solving compound inequalities" is False.
Absolute value inequalities and compound inequalities are two different types of inequalities, and solving them involves different methods. Here's a brief explanation:
Absolute value inequalities: An absolute value inequality involves an expression enclosed within absolute value symbols [tex](| |)[/tex].
To solve such an inequality, follow these steps:
Set up two separate inequalities: one with the expression inside the absolute value symbols greater than or equal to zero, and the other with the expression negated and greater than or equal to zero.Solve each inequality separately to find the possible solutions.Combine the solutions from both inequalities to determine the final solution set.Compound inequalities: A compound inequality consists of two or more inequalities joined by the logical operators "and" or "or."
To solve a compound inequality, follow these steps:
Solve each individual inequality separately.Combine the solutions based on the logical operators:If the compound inequality is joined by "and," the solution is the intersection of the individual solutions.If the compound inequality is joined by "or," the solution is the union of the individual solutions.Therefore, solving absolute value inequalities does not require solving compound inequalities. These are distinct concepts in mathematics.
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