Snow Play ski park costs $35 entry fee and then $5 per hour. If you have $60, how long can you be at snow play ski park?
f(x)
Write a function that describes the situation.
Answer:
The long of snow play ski park is 12 hours
Step-by-step explanation:
because
[tex]60 \div 5 = 12 \\ \\ so \: its \: \the \: answer \: is \: \: 12hour[/tex]
Which of the following is true of a radius of a circle?
(1) Radius is the distance from the center to any point on the circle.
(2) A circle may have radii with different values.
(3) Radius is half the diameter in any circle
Select one:
Only (1) and (2)
Only (2) and (3)
Only (1) and (3)
All (1), (2) and (3)
Explain how you can differentiate between a square, rhombus, and rectangle based on the angles formed by their diagonals.
Answer:
Quadrilateral just means "four sides"
(quad means four, lateral means side).
A Quadrilateral has four-sides, it is 2-dimensional (a flat shape), closed (the lines join up), and has straight sides.
Step-by-step explanation:
propertiesA quadrilateral has:
four sides (edges)
four vertices (corners)
interior angles that add to 360 degrees:
Quadrilateral Angles
Try drawing a quadrilateral, and measure the angles. They should add to 360°
Types of Quadrilaterals
There are special types of quadrilateral:
Types of Quadrilateral
Some types are also included in the definition of other types! For example a square, rhombus and rectangle are also parallelograms. See below for more details.
Let us look at each type in turn:
The Rectangle
Rectangle
the little squares in each corner mean "right angle"
A rectangle is a four-sided shape where every angle is a right angle (90°).
Also opposite sides are parallel and of equal length.
The Square
Square
the little squares in each corner mean "right angle"
A square has equal sides (marked "s") and every angle is a right angle (90°)
Also opposite sides are parallel.
A square also fits the definition of a rectangle (all angles are 90°), and a rhombus (all sides are equal length).
The Rhombus
Rhombus
A rhombus is a four-sided shape where all sides have equal length (marked "s").
Also opposite sides are parallel and opposite angles are equal.
Rhombus Diagonals
Another interesting thing is that the diagonals (dashed lines) meet in the middle at a right angle. In other words they "bisect" (cut in half) each other at right angles.
A rhombus is sometimes called a rhomb or a diamond.
The Parallelogram
Parallelogram
A parallelogram has opposite sides parallel and equal in length. Also opposite angles are equal (angles "A" are the same, and angles "B" are the same).
NOTE: Squares, Rectangles and Rhombuses are all Parallelograms!
Example:
Square
A parallelogram with:
all sides equal and
angles "A" and "B" as right angles
is a square!
The Trapezoid (UK: Trapezium)
Trapezoid (or Trapezium) Trapezoid (or Trapezium)
Trapezoid
Isosceles Trapezoid
A trapezoid (called a trapezium in the UK) has a pair of opposite sides parallel.
And a trapezium (called a trapezoid in the UK) is a quadrilateral with NO parallel sides:
Trapezoid Trapezium
In the US: a pair of parallel sides NO parallel sides
In the UK: NO parallel sides a pair of parallel sides
(the US and UK definitions are swapped over!)
An Isosceles trapezoid, as shown above, has left and right sides of equal length that join to the base at equal angles.
The Kite
The Kite
Hey, it looks like a kite (usually).
It has two pairs of sides:
Each pair is made of two equal-length sides that join up.
Also:
the angles where the two pairs meet are equal.
the diagonals, shown as dashed lines above, meet at a right angle.
one of the diagonals bisects (cuts equally in half) the other.
... and that's it for the special quadrilaterals.
Irregular Quadrilaterals
The only regular (all sides equal and all angles equal) quadrilateral is a square. So all other quadrilaterals are irregular.
The "Family Tree" Chart
Quadrilateral definitions are inclusive.
Example: a square is also a rectangle.
So we include a square in the definition of a rectangle.
(We don't say "Having all 90° angles makes it a rectangle except when all sides are equal then it is a square.")
This may seem odd, as in daily life we think of a square as not being a rectangle ... but in mathematics it is.
Using the chart below we can answer such questions as:
Is a Square a type of Rectangle? (Yes)
Is a Rectangle a type of Kite? (No)
Quadrilateral Classification
Complex Quadrilaterals
Oh Yes! when two sides cross over, we call it a "Complex" or "Self-Intersecting" quadrilateral, like these:
Complex Quadrilaterals
They still have 4 sides, but two sides cross over.
Polygon
A quadrilateral is a polygon. In fact it is a 4-sided polygon, just like a triangle is a 3-sided polygon, a pentagon is a 5-sided polygon, and so on.
Play with Them
Now that you know the different types, you can play with the Interactive Quadrilaterals.
Other Names
A quadrilateral can sometimes be called:
a Quadrangle ("four angles"), so it sounds like "triangle"
a Tetragon ("four polygon"), so it sounds like "pentagon", "hexagon", etc.
Question 1 Question 2 Question 3 Question 4 Question 5 Question 6 Question 7 Question 8 Question 9 Question 10
Polygons
Interactive Quadrilaterals
Right Angle
Parallel
Parallelogram In Any Quadrilateral
Geometry Index
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Help please anyone ?!!!!!
Answer:
Step-by-step explanation:
bh= (2x-6)(x-2)
expand this
2x^2 -10x+12
since formula is 1/2 bh then halve the values
x^2-5x+6
Helpppp please it’s hard
what is the measure of angle c
Answer: D+<B=180
x+24+x+10=180sum of opposite angle of quadrilateral is 180
2x=180-34
x=146/2=73
again
<A+<C=180sum of opposite angle of quadrilateral is 180
x+15+<C=180
73+15+<C=180
<C=180-88=92° is your answer
Find the measure of side c.
m (Round the answer to the nearest whole number.)
Answer:
c = 28 m
Step-by-step explanation:
Here we have a right triangle with shortest side (a) of length 17 m and smallest angle (A) equal to 37 degrees and positioned opposite side (a). The sine function is applicable here:
17 m
---------- = opp / hyp = sin 37 degrees = approximately 0.602.
c
Then 17 m / c = 0.602, or (after inverting both sides)
c 1
-------- = -----------
17 m 0.602
Solve for c. Cross-multipying, we get 0.602c = 17 m.
Dividing both sidees by 0.602 yields c = 28.24 m, which should be rounded off to the nearest whole number: c = 28 m
I need an answer ASAP.
Which tiles should be added to the model below to make zero?
DOOOOO
6 negative tiles
6 positive tiles
3 negative tiles and 3 positive tiles
6 negative tiles and 6 positive tiles
i need help----------
Fabian makes a scale drawing of his tree house with a scale factor of 1 foot = 0.44 inch. If the length of the tree house in the drawing is 3.52 inches, what is the actual length of the tree house
Functions A and B give the population of City A and
City B, respectively, t, years since 1990. In each
function, the population is measured in millions.
Here are the graphs of the two functions.
For what value of t is the equation A(t)= B(t) true?
Answer:
[tex]t = 6[/tex]
Step-by-step explanation:
Given
See attachment for graph
Required
At what point is A(t) = B(t) true
This point which makes A(t) = B(t) is the point which they intersect.
From the graph, A(t) and B(t) intersects at [tex]t = 6[/tex]
Hence, the value of t is 6
Find 1 2/3 + (-2 1/2)
Twice the sum of Paloma's age and 15 is 106. How old is Paloma?
Answer: 121
Step-by-step explanation:
Paloma's age is 45.5 years
What is an equation?"It is a statement which consists of equal symbol between two mathematical expressions."
For given example,
Let 'm' be the age of Paloma.
Twice the sum of Paloma's age and 15 is 106.
We write above statement in equation form.
⇒ Twice the sum of Paloma's age and 15 is 106
⇒ 2m + 15 = 106
So, we get an equation,
2m + 15 = 106
We solve above equation to find the value of 'm' (Paloma's age)
⇒ 2m + 15 =106
⇒ 2m = 91
⇒ m = 91/2
⇒ m = 45.5 years
45.5 years means 45 years and 6 months
This means, Paloma age is 45 years and 6 months
Therefore, Paloma's age is 45.5 years.
Learn more about equation here:
brainly.com/question/13170101
#SPJ2
which expression is equivalent to the given expression
I need help ASAP!
What is the answer to this question?
sorry but i need the points thx
Answer:
354 people were surveyed
Step-by-step explanation:
u have to add all of them
pls mark BRAINLIEST
I need help with C please.
9514 1404 393
Answer:
║w║ = 6
Step-by-step explanation:
(c) The magnitude of w is computed the same way the magnitudes of the other vectors are computed. It is the root of the sum of the squares of the components.
║w║= ║<-6, 0>║ = √((-6)² +0²) = √36
║w║= 6
10) Which equation represents a function of x that is NOT linear? * A. y=4(x+3) B. y=4²+3x C. y=4x+3x² D. (4+x)/3
The equation that represents a function of x that is NOT linear should be option c.
Linear equation:In the linear equation they have only x while on the other hand, in the quadratic equation they have x to the second power
So as per the given situation, the option a, option b, and option d represent the linear equation
Therefore, The equation that represents a function of x that is NOT linear should be option c.
Learn more about an equation here: https://brainly.com/question/17833324
3/4 / 3/5 divided. write your answer in simplest form or as a mixed number in simplest
Answer: 5/4
Step-by-step explanation:
do the keep change flip method
then it will be 3/4*5/3 which then equals 15/12 after that you would divide by 3 cause it is the only number that would go in evenly then the answer will be 5/4 in the simplest form
[tex]3x + 2x + 90 = 180[/tex]
what is the value of x??
Answer:
18
Step-by-step explanation:
5x+90=180
5x=90
x=18
Can i get brainliest?
Hi there!
[tex]\large\boxed{x = 18}[/tex]
3x + 2x + 90 = 180
Begin by combining like terms:
5x + 90 = 180
Subtract 90 from both sides to isolate for x:
5x + 90 - 90 = 180 - 90
5x = 90
Divide both sides by 5 to further isolate:
5x/5 = 90/5
x = 18.
The soccer team practices passing for 3/4 hour and shooting for 4/5 hour. On which drill does the team spend less time? Explain how you can use the model to find the answer.
Answer:
Passing practice takes less time
Step-by-step explanation:
Given:
Taken time for passing practice = 3/4 hour
Taken time for shooting practice = 4/5 hour
Find:
which practice take less time
Computation:
Change into minutes
Taken time for passing practice = [3/4]60 = 45 minutes
Taken time for shooting practice = [4/5]60 = 48 minutes
Passing practice takes less time
Can Someone Help Please And Thank You
Answer:
your answer will be option A.0
Step-by-step explanation:
hope it helps you
have a great day!!
factor x^2-x+3=3 please :D
Answer:
x(x - 1 ) = 0
Step-by-step explanation:
x^2 - x + 3 = 3
subtract 3 from each side:
x^2 - x = 0
x(x - 1 ) = 0
One side of a rectangle is three times as long as another. If its area is 363 square centimeters, find its dimensions.
Shorter side:
Longer side:
9514 1404 393
Answer:
11 cm by 33 cm
Step-by-step explanation:
You can solve this problem mentally as follows.
Consider the rectangle as 3 squares, side-by-side. Then the area of each of those squares is 363/3 = 121 cm^2. From your knowledge of the squares of numbers, you know that 121 = 11^2. So, the width of the rectangle is 11 cm, and the length is 3 times that, or 33 cm.
_____
Using variables, we can let w represent the width. Then 3w can represent the length, and the area is ...
A = LW
A = (3w)(w) = 3x^2 = 363
w^2 = 363/3 = 121
w = √121 = 11
3w = 3·11 = 33
The width is 11 cm; the length is 33 cm.
Answer:
Shorter side: 11 cm
Longer side: 33 cm
First, write down what you know:
length=3*width, this can be written as 3w
area=363 sq cm
Now we know the formula for the area of a rectangle= length * width so we can substitute what we know into the formula. It looks like this:
363 (area) = 3w (length) × w (width)
[tex]363=w^2[/tex]
divide both sides by 3 to get: 121 = [tex]w^2[/tex]
take the square root of both sides to get: w=11 (square root of 121 is 11)
Now that we know what the width is, we can substitute that and find the length: 3w = 3 × 11=33
So length (longer side) is 33cm and width (shorter side) is 11cm.
*To check this, plug the numbers into the area formula: Area=33 × 11 = 363 sq cm.
Please mark brainiest if you can
An art teacher shares 24 crayons equally among 5 students. The number of crayons that each student gets lies between what two whole numbers? 4 and 5 6 and 7 1 and 2 3 and 4
Answer: 4 and 5
Step-by-step explanation: 24 divided by 5 is 4.8. 4.8 is between 4 and 5. Hope this helps :)
Answer:
Step-by-step explanation:
Find the length of X in simplest radical form with a rational denominator
Answer:
[tex]x = \sqrt 6[/tex]
Step-by-step explanation:
Given
The attached triangle
Required
Find x
Considering angle 30 degrees,
[tex]Opposite = \sqrt{2[/tex]
[tex]Adjacent = x[/tex]
Using the tangent formula:
[tex]tan\ 30 = \frac{\sqrt 2}{x}[/tex]
Make x the subject
[tex]x = \frac{\sqrt 2}{tan\ 30}[/tex]
[tex]x = \frac{\sqrt 2}{1/\sqrt 3}[/tex]
[tex]x = \sqrt 2 * \sqrt 3[/tex]
[tex]x = \sqrt 6[/tex]
Which congruence theorem, if any, can be used to prove that the triangles are congruent?
SAS
SSS
HL
ASA
AAS
not enough info.
please help!!
Answer:
SAS
Step-by-step explanation:
Calvin Butterball is lying on the ground and spots a hot air balloon at an angle of elevation of 28 The distance from Calvin to the hot air balloon is 850 feet. How high in the air is the balloon?
Answer
the distance between the posts is 1 mile
let x be the horizontal distance between the pole 1 and the ballon
Step-by-step explanation:
height of balloon = h
tan 24 = h/x
h = x tan 24
similarly
h= (x+1) tan 20
xtan 24 = (x+1) tan 20
Answer: approximately 399 feet
The more accurate value is 399.050828368008 feet, but this value is still approximate.
========================================================
Work Shown:
Refer to the diagram below.
To find x, we'll use the sine rule
sin(angle) = opposite/hypotenuse
sin(28) = x/850
850*sin(28) = x
x = 850*sin(28)
x = 399.050828368008 ...... make sure your calc is in degree mode
x = 399
I'm rounding to the nearest whole number since the given values (28 and 850) are also whole numbers. If your teacher provides other rounding instructions, then be sure to follow that.
The hot air balloon is approximately 399 feet off the ground.
Jenny examined the 14 machine parts made in an hour at a factory. She found that 3 of the parts were broken. If this
pattern continues for the next four hours, Jenny wants to find how many parts the factory will make in four hours that are
NOT broken.
Drag and drop the responses into the boxes below to create the expression that Jenny needs to represent this situation.
Answer:
44 machine parts won't be broken.
Step-by-step explanation:
14 per hour
3 out of those 14 was broken
14 - 3 = 11 that will turn out, not broken
11 per hour
if we're going to work out 4 hours we need to multiply it by 4
11 × 4 =44
1 × 4 = 4
44 per hour that will not turn out broken because we disincluded the broken parts that will be there.
The price of a calculator is Rs 3000 excluding 13% VAT in the shop A, while its price is Rs 3,277 including VAT in the shop B. Which shop is cheaper and by how much?
Answer:
Shop B is cheaper than shop A by ₹44.87.
Step-by-step explanation:
For shop A:
Amount of VAT = 13% of 3000 = ₹390
For shop B:
Let the price of the calculator excluding VAT be ₹x.
Therefore,
x + 13% of x = 3000
x + 0.13x = 3000
1.13x = 3000
x = 3000/1.13
x = 2,654.86726
x = ₹2654.87
Amount of VAT = 3000 - 2654.87
= ₹345.13
390 - 345.13 = ₹44.87
So, shop B is cheaper than shop A by ₹44.87.
3
y=x-2
4
W
3
slope: - ; y-intercept: 2
4
4
slope: ; y-intercept: 2
4
slope:
; y-intercept: -2
3
3
slope: - y-intercept: -2
4
Answer:
The last one
Step-by-step explanation:
Trust me and also hope this helps