Answer:
True
Step-by-step explanation:
An absolute function can be re-written as:
[tex]|x| = \left \{ {{x} \quad \ \ \ \text{if} \ x \geq \ 0\atop {-x} \quad \text{if} \ x < 0} \right.[/tex]
That is the form of a piecewise function.
Using the diagram of a regular hexagon, fill in the blanks for the steps to solve for the area of a hexagon with sides equal to 16 cm.
(1) How many equilateral triangles are there? _____
(2) What is the measure of each of the three angles in the equilateral triangle? _____
(3) If we cut an equilateral triangle down the middle (segment a), what special right triangle do you create? _____
(4) What is the vocabulary word for the segment a? _____
(5) What is the length of the short side of one of the 30-60-90 triangles? _____
(6) What is the length of the hypotenuse of one of the 30-60-90 triangles? _____
(7) Using the properties of 30-60-90 triangles, calculate the length of the long leg of one of the 30-60-90 triangles. _____
(8) What is the height of one of the the equilateral triangles? _____
(9) Apply the formula for the area of a triangle to find the area of one equilateral triangle. _____
(10) Calculate the area of the complete hexagon by multiplying the area of one equilateral triangle by the number of triangles. _____
Answer:
(1) How many equilateral triangles are there? ___6__
(2) What is the measure of each of the three angles in the equilateral triangle? __60°_
(3) If we cut an equilateral triangle down the middle (green line), what special right triangle do you create? _30-60-90_
(4) What is the vocabulary word for the green line? _Perpendicular bisector_
(5) What is the length of the short side of one 30-60-90 triangle? __4_cm_
(6) What is the length of the hypotenuse of one 30-60-90 triangle? __8 cm
(7) Using the properties of 30-60-90 triangles, calculate the length of the long leg. _4√3_cm
(8) What is the height of the equilateral triangle? _4√3_cm
(9) Apply the formula for the area of a triangle to find the area of one equilateral triangle. ½(8)(4√3) = 16√3 cm²
(10) Calculate the area of the complete hexagon by multiplying the area of one equilateral triangle by the number of triangles. _8(16√3) = 128√3 cm²_
Step-by-step explanation:
In geometry, a hexagon can be defined as a polygon with six sides. The two-dimensional shape has 6 sides, 6 vertices and 6 angles
What is Hexagone?In geometry, a hexagon can be defined as a polygon with six sides. The two-dimensional shape has 6 sides, 6 vertices and 6 angles
The answers of all the fill in the blanks are given below:
(1) How many equilateral triangles are there ___6__
(2) What is the measure of each of the three angles in the equilateral triangle __60°_
(3) If we cut an equilateral triangle down the middle (green line), what special right triangle do you create? _30-60-90_
(4) What is the vocabulary word for the green line? _Perpendicular bisector_
(5) What is the length of the short side of one 30-60-90 triangle? __4_cm_
(6) What is the length of the hypotenuse of one 30-60-90 triangle? __8 cm
(7) Using the properties of 30-60-90 triangles, calculate the length of the long leg. _4√3_cm
(8) What is the height of the equilateral triangle? _4√3_cm
(9) Apply the formula for the area of a triangle to find the area of one equilateral triangle. ½(8)(4√3) = 16√3 cm²
(10) Calculate the area of the complete hexagon by multiplying the area of one equilateral triangle by the number of triangles. _8(16√3) = 128√3 cm²
To know more about Hexagone follow
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HELP PLS
Answer:
with what 0-0 are youy okay?
Step-by-step explanation:
The two legs of a right triangle are and . The hypotenuse is . Solve for in terms of the other variables.
What's the answer I'm very confused.
Answer:
the answer is c
Step-by-step explanation:
u welcome
The value of r in terms of other variables in the given right triangle using the Pythagoras theorem can be shown as r = √(t² - s²).
What is the Pythagoras Theorem?According to the Pythagoras Theorem, in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs.
How to solve the question?In the question, we are shown a right triangle with the hypotenuse as t, and the legs as r and s.
We are asked to solve for r in terms of other variables.
By Pythagoras theorem in the given right triangle, we can say that:
r² + s² = t², which is the required equation.
To solve for r in terms of other variables, we do as follows:
r² + s² = t²,
or, r² + s² - s² = t² - s² {Subtracting s² from both sides of the equation},
or, r² = t² - s² {Simplifying},
or, r = √(t² - s²) {Square rooting both sides of the equation}.
Thus, the value of r in terms of other variables in the given right triangle using the Pythagoras theorem can be shown as r = √(t² - s²).
Learn more about the Pythagoras theorem at
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#SPJ2
Michelle bought 4 packs of
soda for $10. How much did
each pack cost?
Answer: 2.50$
Step-by-step explanation:
urgent help now plz i will give brainlest
Answer:
Step-by-step explanation:
First get the (m) which is the gradient by using the formula y2-y1/x2-x1
Pick any random 2 values from the table. I will pick. (1,4) (2,8)
Y2=8 Y1=4 X2=2 X1=1
8-4/2-1 4/1 = 4
Y=4x+c
The quotient of b and -6 is 18
The quotient is the result obtained by dividing one quantity by another.
This means that b/-6 = 18
b = 18*-6
b = -108
Answer:
b = -108
Step-by-step explanation:
Given the mathematical expression, "The quotient of b and -6 is 18":
We could represent the given mathematical expression as follows:
b ÷ -6 = 18 or [tex]\frac{b}{-6} = 18[/tex] .
In the fraction form, [tex]\frac{b}{-6} = 18[/tex] , multiply both sides by -6 to eliminate the denominator on the left-hand side. It will also isolate b:
[tex]\frac{b}{-6} = 18[/tex]
[tex](-6)(\frac{b}{-6}) = 18(-6)[/tex]
b = -108
In order to double-check whether we have the correct value for b, simply substitute its vlaue into the equation:
[tex]\frac{-108}{-6} = 18[/tex]
18 = 18 (True statement).
The value of b = -108, hence, the quotient of -108 and -6 is 18.
In the diagram, <4 and <5 are what type of angles?
A. corresponding angles
B. Alternate interior angles
C. Alternate exterior angles
D. Consecutive interior angles
Answer:
B. Alternate interior angles
Step-by-step explanation:
Identify the sampling technique used. Every 17th person in line to buy tickets to a concert is asked his or her age.
Answer:
systematic sampling
Step-by-step explanation:
This is when you start at a person (using a number that is randomly generated) and go up in intervals to select a sample.
Hope this helps!
can somebody help me with a tutor
Answer:
well tutors are very cool they help you with your subjects so i dont see any probelm with them.
Step-by-step explanation:
Which quadratic equation has roots-8 + 3i and -8 - 3i?
A x^2 - 16x + 73 = 0
B x^2 - 16x + 79 = 0
C x^2 + 16x + 79 = 0
D x^2 + 16x + 73 = 0
The two roots are
[tex]\alpha = -8+3i,~~~ \beta = -8-3i\\\\\\x^2 - (\alpha + \beta)x + \alpha \beta = 0\\\\\implies x^2 - (-8+3i-8-3i)x + (-8+3i)(-8-3i)=0\\\\\implies x^2 +16x + (-8)^2+3^2 =0\\\\\implies x^2 +16x +64+9=0\\\\\implies x^2 +16x +73[/tex]
Hence the answer is D.
help me due today it is math
Answer:
2
Step-by-step explanation:
sum of digits=1+2+5+8=16
smallest term to be added to make it divisible by 9 is 2
∵16+2=18÷9=2
you select a card at random from a standard deck of 52 cards. In how many ways can you select a black card
Answer:
26
Step-by-step explanation:
in a deck of 52 cards there are 52/2 = 26 black cards
so there are 26 ways you can select a black card
Solve T in the following formula P=nRT/V
Answer:
T = PV/nR
..............................................
Solve for k.
k + 4.9 = 12.28
Answer:
k=7.38
Step-by-step explanation:
12.28-4.9=7.38
Answer:
7.38Step-by-step explanation:
= > x + 4.9 = 12.28
= > x = 12.28 - 4.9
= > x = 7.38
Hope it helps!!
Louis bought packages of donuts. There were 4 donuts in each packages, and Louis gave 6 to his friend. Write an expression to show thus situation
Answer:
4x-6
Step-by-step explanation:
4x-6
4 is for number of doughnuts in each package, 6 is for the taken doughnuts
plz help anyone i really need this.....
Answer:
a) single replacement
b)decomposition
Step-by-step explanation:
a) im not so sure but pretty sure its tight
b) decomposition requires energy so therefore can only be this
Given that X varies directly as Y³ and X = 54, Y = 3. find X 10 Y = 5 what is the relationship between X and Y?
Answer:
x=6y3
Step-by-step explanation:
we first find the constant of proportionality where by we say; x= ky3
we're given x = 54
and y = 3
so
54=k(3cubed)
therefore
54= 9k
divide be 9 both sides to get k which is the constant
k=6
now rewrite the equation replacing k with 6
it will be...
X=6Y3
14 out of the 70 people in a company meeting were managers. What percentage of the
meeting attendees were managers?
Write your answer using a percent sign (%).
Answer:
20%Step-by-step explanation:
14 out of 70 given as percentage:
14/70*100% = 20%Lets see
14/70(100)1/5(100)20%do atoms have potential and kinetic energy? please explain why you think so?
Energy is a fascinating concept. It can neither be created nor destroyed, but it can be altered. Whenever you use or store energy, you deal wit potential or kenetic energy. Read on as we discuss these two energy forms in greater detail and explore the relationship between them
Answer:
Yes.
Step-by-step explanation:
Atoms have potential energy in covalent bonds which hold them together and kinetic energy when in motion. For instance, when there is an increase in temperature, particles gain in kinetic energy and move faster.
TOT ROLIOS
-: Study Guide Ratios (Quiz 1)
Arroz Con Leche
Arroz con leche is a creamy dessert from Mexico and Spain.
Nia wants to use 6 cups of rice.
1. How much of each ingredient does she need?
Ingredients
Serves 4 people
2 cups of rice
4 cups of milk
.
cups of rice
.
cups of milk
į cup of sugar
cups of sugar
i handful of raisins
1 cinnamon stick
handfuls of raisins
cinnamon sticks
How many people will this larger batch of Arroz Con Leche serve?
Answer:
If Mia wants to use 6 cups of rice, she would need to multiply the amount of each ingredient by 3, because the original 2 cups times 3 is the 6 cups she wants to use. So the new amount for the recipe would be this:
6 cups of rice
12 cups of milk
1 cup of sugar
3 handful of raisins
3 cinnamon sticks
When asking how many this will serve, we also multiply by 3 the original amount of people which is 4 to get 12 servings of Arroz con leche
Find the gradient of the line segment between the points (4,-6) and (-6,-16).
Answer:
1
Step-by-step explanation:
gradient M= change in Y / change in X
= (-16--6)/(-6-4)
= -10/-10
M therefore= 1
He has a new 0.85-ounce tube of toothpaste that’s supposed to last him the whole trip. The amount of toothpaste Ken squeezes out of the tube each time he brushes varies according to a Normal distribution with mean 0.13 ounces and standard deviation 0.02 ounces.
Using the normal distribution, it is found that there is a 0.8888 = 88.88% probability that his tube last the whole trip.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. For n instances of a normal variable, the mean is [tex]n\mu[/tex] and the standard deviation is [tex]s = \sigma\sqrt{n}[/tex]In this problem:
For each time he brushes his teeth, the mean is of 0.13 ounces and the standard deviation is of 0.02 ounces, hence [tex]\mu = 0.13, \sigma = 0.2[/tex]He will brush his teeth 6 times, hence [tex]n = 6, n\mu = 6(0.13) = 0.79, s = 0.2\sqrt{6}[/tex]The probability that his tube last the whole trip is the p-value of Z when X = 0.85, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Considering the n instances
[tex]Z = \frac{X - n\mu}{s}[/tex]
[tex]Z = \frac{0.85 - 0.79}{0.2\sqrt{6}}[/tex]
[tex]Z = 1.22[/tex]
[tex]Z = 1.22[/tex] has a p-value of 0.8888.
0.8888 = 88.88% probability that his tube last the whole trip.
A similar problem is given at https://brainly.com/question/24663213
Eleven more than five times a number is equal to the difference between −38 and twice the number. Find the number.
Answer:
x = -7
Step-by-step explanation:
Eleven more than five times a number is equal to the difference between −38 and twice the number.
let x represent the number.
11 + 5x = -38 - 2x
7x +11 = -38.............add 2x to both sides
7x = -49................... subtract 11 from both sides
x = -7........................divide both sides by 7
there are 25 questions in a quiz
every correct answer scores 3 points
each incorrect answer loses 2 points
a question not answered scores o points.
it is possible to finish the quiz with a negative score
what is the minimum score you can get on the quiz ❓
Points obtained on the quiz increases when the points are earned from
correct responses.
The minimum score from the quiz is -50Reasons:
The number of questions in the quiz = 25 questions
Number of points for correct answers = 3 points
Number of points lost for incorrect answers = 2 points
Points for question not answered = 0 points
Nature of total points = Positive and negative
Required:
The minimum score one can get on the quiz.
Solution:
The minimum score that can be obtained is when all responses result in a
loss of points, due to the questions being incorrect.
Therefore;
The minimum score = 25 × (-2) = -50
Learn more here:
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Exercise #14: The mile and the kilometer are relatively close in size. Can you convert 1 mile into an equivalent
in kilometers? Here's what I'll give you. There are 2.54 centimeters in an inch, 5,280 feet in a mile, 100
centimeters in a meter, and 1000 meters in a kilometer. All else you should be able to do for yourself. Round
your answer to the nearest tenth of a kilometer. This takes quite a string of multiplications, but you can do it!
The equivalent of 1 mile to kilometres is approximately 1.6 km.
2.54 cm = 1 inch
5280 ft = 1 mile
100 cm = 1 m
1000 m = 1 km
Using the information let's convert 1 mile to kilometre.
1000 m = 1 km
Therefore,
1 m = 0.000621371 miles
1000 m(1 km) = ?
cross multiply
length = 1000 × 0.000621371 = 0.621371 miles
Therefore,
0.621371 miles = 1 km(1000 m)
1 miles = ?
length in km = 1.60934449789 km
Therefore,
1 miles = 1.6 km
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Calculate: 7×9-22+31=
Answer:
72
please mark brainlest
Step-by-step explanation:
Answer:
72
Step-by-step explanation:
7x9=63
63-22=41
41+31= 72
Hope this helps
i need the answer it on edge
Answer: 3x^3+2x+5
Step-by-step explanation:
I attached my written work but put simply take the value of x which in this case is -2 because x+2 also means x= -2. Then line up the coefficients next to -2 which should be in a box. So the coefficients 3, 6, 2, 9, and 10. Drop the first coefficient down which is 3 and multiply it by your x value. so the combo is multiply, add, drop. starting with 3 drop it down then multiply it by -2 to get -6. Then add -6 to the second coefficient which is 6 to get 0 so drop zero down. Then again multiply 0 by -2 to get 0 then add zero to 2 to get 2 then drop down 2. So continue till the end remmebr the only multiplication you are doing is against the x value which in this case is -2. at the end you should have 5 numbers left. Here we end with 3, 0, 2, 5, 0. So we want a zero as the last number which means we have no remainder. If the last number is not zero do not PANIC. just kidding but seriously though relax. Put the number over your expression x+2 so for example if the last number was 5 instead of zero DONT PANIC just finish your answer with 5/x+2. SO back to the 3, 0, 2, 5, 0. We add the corresponding x's to these numbers so [tex]3x^{3}+0x^{2} +2x+5[/tex] which also equals [tex]3x^3+2x+5[/tex]
A fire is sighted due west of lookout A. The bearing of the fire from lookout B, 8.6 miles due south of A, is N 42°26'W. How far is the fire from B (to the nearest tenth of a mile)? 7) A)13.7 mi B)11.7 mi C)12.7 mi D)14.7 mi
Answer:
11.7 miles
Step-by-step explanation:
I hope this helped!
Find out the value for brainiest
Answer:
126 degrees
Step-by-step explanation:
first we should find the measurements of these angles
so (I know these are the names of lines but there's no name for these angles, that's why I'm addressing them with the name of each one's nearest line name)
C= 90 degree
B= 65 degree
A= 79 (coz 180- 101= 79)
therefore D= ?
the total interior angle of a quadrilateral is 360
so 360- (90+ 65+ 79)
360- 234 = 126 degrees
please answer fully///////////////
Answer:
14
Step-by-step explanation:
(4+(16-1)/5)*2
(4+15/5)*2
(4+3)*2
7*2
14