A country has 33 parks that allow camping and 101 parks that have
playgrounds. Of those, 16 parks both allow camping and have
playgrounds. The country has a total of 346 parks.
What is the probability of randomly selecting a park that allows
camping or has a playground? Write your answer as a fraction.
Answer:
134:346 Add the 33 to 101 to get first number, then total number of parks 346 is the second number, they may end up wanting you to to reduce the fraction.67:143
CON
Enter a range of values for x.
a
a
3x-9⁰ 93°
27
26
[?]
Enter
Answer:
3° < x < 32.538°
Step-by-step explanation:
The possible values of the angle marked with an x-expression may not be as obvious as they first seem. There is a somewhat complicated interaction between the angle value and the length of the side(s) marked 'a'.
__
We can label the vertices of the figure A through D, clockwise from the bottom.
minimum xThe minimum value of angle ACB (marked 3x-9°) is 0°. That will be its measure when AB +BC = AC, or B lies on line AC. In this case, the value of x is ...
3x -9° = 0°
3x = 9° . . . . add 9°
x = 3° . . . . . divide by 3
maximum xvalue of 'a'
The maximum value of angle ACB will be found where both triangles are isosceles: AC ≅ BC ≅ DC. The length of 'a' can be found for that case using the Law of Sines:
27/sin(93°) = a/sin(43.5°) . . . where (180° -93°)/2 = 43.5° is the base angle
a = 27×sin(43.5°)/sin(93°) ≈ 18.611
value of 3x -9°
Angle ACB will obey the same Law of Sines requirement. If z represents the base angle in isosceles triangle ABC, then we have ...
sin(z)/18.611 = sin(180-2z)/26
Recognizing that sin(180-2z) = sin(2z) and using the double-angle formula, we find ...
sin(z)/18.611 = 2sin(z)cos(z)/26
sin(z)(1/18.611 -cos(z)/13) = 0 . . . . . subtract the right side, factor
This has solutions that make the factors zero:
sin(z) = 0 ⇒ z = 0 . . . . . . an extraneous solution in this case
cos(z) = 13/18.611 ≈ 45.6925°
Then the value of x can be found from ...
3x -9° = 180° -2z ≈ 88.615°
x ≈ 3° +(88.615°/3) = 32.538°
_____
Additional comment
In the above, we have shown numerical values for the side lengths and angles in the maximum-x case. The various expressions can be combined to give ...
3(x -3°) = 180° -2(arccos(13/27×sin(93°)/sin(43.5°)))
x = 63° -2/3·arccos(13/27·sin(93°)/sin(43.5°))
Mrs. ericson is building a new balcony. what is the area of the balcony? (6 ft, 6 ft, 6 ft. 2 ft, 2 ft , 2 ft.)
Answer:
2ft 2ft
Step-by-step explanation:
2ft,2ft,2ft,2ft
Someone help me with this
Answer:
C is 17.
Use Pythagorean theorem to find c (hypotenuse)
[We can use this theorem because it is a right triangle]
a^2 + b^2 = c^2
8^2 + 15^2 = c^2
c^2 = 289
c = sqrt(289) = 17
Answer: c = 17 cm
Step-by-step explanation:
Since this is a right triangle, we will use the Pythagorean theorem to solve. The a and b variables are legs, the c variable is the hypotenuse. Here, we are solving for the hypotenuse.
a² + b² = c²
8² + 15² = c²
64 + 225 = c²
64 + 225 = c²
289 = c²
c = [tex]\sqrt{289}[/tex]
c = 17
Side c has a length of 17 cm.
Factor fully. Show all work.
a) 27m²−3
b) 10x³+5x²−50xy−25y
Answer:
A=
[tex]3(3m + 1)(3m - 1)[/tex]
Step-by-step explanation:
[tex] {27m}^{2} - 3[/tex]
Factorise
[tex]3( {9m}^{2} - 1)[/tex]
Rewrite it
[tex]3(( {3m)}^{2} - {1}^{2} )[/tex]
[tex]3(3m + 1)(3m - 1)[/tex]
3(2x + 5)= 4 (c-3) I know how to solve it but can someone explain it.
Answer:
3x×2c+1
Step-by-step explanation:
6x+15 =4c-12
[tex] \frac{6x + 15}{4c - 12} = \frac{4c - 12}{4c - 12} [/tex]
[tex] \frac{6x + 15}{4c - 12} [/tex]
[tex] \frac{3x + 5}{2c - 4} [/tex]
[tex]3x + 5 \div 2c - 4[/tex]
[tex]3x \times 2c + 5 - 4[/tex]
[tex]3x \times 2c + 1[/tex]
HELP PLEASE. PLEASE DRAW AN EXAMPLE OF ANSWER 100 points !!!
As all sides are equal it's equitorual hexagon
An inscribed hexagon is best fit for construction
Steps
Draw a circle of radius rPut compass and take radius measure.Draw one. mark then draw 6 marks on circle one after other of measure r Connect 6 marks .Done ! We created
you can erase the circle later on
Answer:
Attachment 1
Take a compass and adjust it so that it is the width of line r.
Place the point of the compass on the left point of line r and draw a circle going through the right point of line r with radius r.
Attachment 2
Take a ruler, place it so it is against line r and extend the line r across the width of the circle (this is the diameter of the circle).
Attachment 3
Place the point of the compass on the right point of line r and draw a circle (blue circle).
Place the point of the compass on the left of the diameter and draw a circle (orange circle)
Attachment 4
The points of intersection of the 3 circles are the vertices of the hexagon.
Attachment 5
Join the points of intersection with line segments - this is your hexagon with sides equal to r.
(If necessary, erase the circles to show the hexagon only.)
Can someone please help me out with this question?
Answer:
Dependent
Step-by-step explanation:
Since the marble is not returned, the result of the second probability is dependent upon which marble was 1st drawn.
In a unit circle, 0 = 270°. Identify the terminal point and sin 0.
Answer:
terminal point is at (0, -1) and sin 0 = -1
Step-by-step explanation:
In a unit circle the radius of the circle is 1 so
- we know the points where the circle intersects the x-axis and y-axis as a (x , y) coordinates.
(1, 0) where we start on the positive x-axis and where angle is 0°
(0, 1) where we go counterclockwise and where angle is 90°
(-1, 0) where we go continue counterclockwise and where angle is 180°
(0, -1) where we stop in our problem because the angle is 270°
-we also know that x= cos O and y= sin O so the coordinates (x, y) are really
(cos O, sinO)
Given:
0 = 270°
sin 0 = sin 270°
sin 270° = -1
The terminal point is at (0, -1) and sin 0 = -1
The volume of this rectangular prism is 108 cubic feet. a prism has a length of l, height of 4.5 feet, and width of 3 feet. what is the length of the prism? feet
Answer:
8 feet
Step-by-step explanation:
The length can be found using the volume formula with the known values. The resulting equation can be solved for the unknown value.
__
V = LWH . . . . . volume of a prism is the product of its dimensions
108 ft³ = l×(3 ft)×(4.5 ft) . . . . . known values filled in
l = 108 ft³/(13.5 ft²) = 8 ft . . . . . . divide by the coefficient of length
The length of the prism is 8 feet.
Answer:
8ft
Step-by-step explanation:
Write the standard form of the equation
Answer:B
Step-by-step explanation:
Quadrilateral ABCD is dilated at center (0.0) with scale factor 1/2 to form quadrilateral A’B’C’D’. What is the length of A’B’?
Answer:
Step-by-step explanation:
The length of a
rectangle is 12 cm
more than the width.
The perimeter is 44
cm. What is the
length of the
rectangle?
Answer:
length= 5+ 12= 17
Step-by-step explanation:
will take width as x
then the length is x+12
perimeter = x+ x+12+x+x+12= 44
=4x= 44-24= 36
x= 20/4
x= 5
GIVING BRAINLIESTTTTT!!!!!!!!!
Answer:
a. (-6, -3)
Step-by-step explanation:
A triangle has been dilated with a factor of 3.
New coordinates will be :
(x, y) ⇒ (3x, 3y)Therefore, A' will be :
(3(-2), 3(-1))(-6, -3)a41
The table shows a bacterial population y after a days.
Day, x
0 1
2
3
4
Population, y 5 35 245 1715 12,005
a. Write an exponential function that represents the population.
y=|lx|
b. Find the population after 5 days.
There are
bacteria after 5 days.
An exponential function that represents the population is y = 5 (7)ˣ. And the population after 5 days will be 84035.
What is an exponent?The exponent denotes that the base will rise to a specific level of strength. The base is X, and the power is n.
The table is shown.
The exponential equation is given as
y = abˣ
Then at x = 1, y will be 35. Then we have
35 = ab ...1
Then at x = 2, y will be 245. Then we have
245 = ab² ...2
On solving equations 1 and 2. Then we have
a = 5 and b = 7
Then the exponential function will be
y = 5 (7)ˣ
Then the population after 5 days will be
y = 5 (7)⁵
y = 5 x 16807
y = 84035
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the functions fx and gx are shown on the graph. using fx what us the equation that represents gx
The equation for the function g(x) = log₃(x+4) after applying the transformation x → (x+4).
What is a function?
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have equation of the graph:
[tex]\rm f(x) = log_3x[/tex]
Apply transformation in the parent function:
Replace x → (x+4)
The parent function will shift 4 units to the left.
And function becomes:
[tex]\rm g(x) = log_3(x+4)[/tex]
Thus, the equation for the function g(x) = log₃(x+4) after applying the transformation x → (x+4).
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A survey was taken of a random sampling of residents of New York City and Los Angeles to compare how many
of them own a car
Answer:
The survey represents quantitative data and there is greater percentage of LA residents who own cars than NYC residents who do.
Agree & disagree statements: CIrcles
Circle A has a diameter of 18 inches.
Circle B has a circumference of 36 inches.
write the letter of the card in the correct column next to the letter, write your explanation as to why it belongs in the agree or disagree columns.
1. Circle A has an approximate circumference of 56.5 inches. true or false? explain.
2. Circle A has an area of 324r in2, True or false? explain
3. Circle A is approximately 151 square inches greater than Circle b. True or false ? explain.
Answer:
Hope the pictures will help you
Ali is playing computer solitaire. He tallies the number of times he wins and loses.
A. Use Ali’s results to estimate the probability of him winning the next solitaire game.
B. How could Ali improve the accuracy of his estimate.
Answer:
use ali result to estimate the probability of him winning the next solitaire game
Points P(-10,10) and Q(6,-2) give the diameter of a circle.
Determine the equation of the circle in standard form
The equation of the given circle with points P(-10,10) and Q(6,-2) gives the diameter of a circle will be (x-2)² +(y-4)² = 100.
What is a circle?A circle is a geometrical figure which becomes by plotting a point around a fixed point by keeping a constant distance.
In our daily life, we always see circle objects for example our bike wheel.
The longest line which can be drawn inside the circle will be the diameter.
Area of circle = πr² and the perimeter of circle = 2πr where r is the radius of the circle.
Given that diameter of the circle is bounded by points P(-10,10) and Q(6,-2).
Centre coordinate = midpoint of P(-10,10) and Q(6,-2).
Midpoint of P(-10,10) and Q(6,-2)
[(-10 + 6)/2 , (10-2)/2 ] = (-2,4 )
Diameter of circle = length between P(-10,10) and Q(6,-2).
lenth between P(-10,10) and Q(6,-2) = 10 units can be calculated by length formula.
The equation of a circle with a center (-2,4 ) and diameter of 10 is given by
(x-2)² +(y-4)² = 10² hence it will be correct.
To learn more about the circle,
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8696 is divisible by what numbers?
*choose all that apply*
9
10
4
3
6
2
5
d
Answer:
4 and 2
Step-by-step explanation:
please mark me as hhhshhàg jb hhhh bcuz
Using the image above, what is the measure of side EG? Round to nearest hundredth
Answer:
is 3.5
Step-by-step explanation:
you need to use SOH CAH TOA
Answer:
this is how I solve it....
can someone please help me
The matrix expressions are:
[tex]\left[\begin{array}{cc}12&7\\5&3\end{array}\right] * \left[\begin{array}{cc}-15&-17\\26&29\end{array}\right] = \left[\begin{array}{cc}2&-1\\3&2\end{array}\right][/tex]Matrix 2 cannot be solved[tex]\left[\begin{array}{cc}-2&3\\-4&5\end{array}\right] * \left[\begin{array}{c}3&4\end{array}\right] = \left[\begin{array}{c}6&8\end{array}\right][/tex]How to solve the matrix expression?The rule for matrix product states that:
If the dimensions of matrix A is m by n, and the dimension of matrix B is n by p.
Then, the dimension of the product matrix is: m by p
Using the above rule, we have:
Expression 1:
[tex]\left[\begin{array}{cc}12&7\\5&3\end{array}\right] * \left[\begin{array}{cc}a&b\\c&d\end{array}\right] = \left[\begin{array}{cc}2&-1\\3&2\end{array}\right][/tex]
Expand:
[tex]\left[\begin{array}{cc}12a + 7c&12b + 7d\\5a + 3c &5b + 3d\end{array}\right] = \left[\begin{array}{cc}2&-1\\3&2\end{array}\right][/tex]
By comparison, we have:
12a + 7c = 2
5a + 3c = 3
12b+ 7d = -1
5b + 3d = 2
Using a graphing tool, we have:
a = -15, b = -17, c = 26 and d = 29
Hence, the matrix expression is:
[tex]\left[\begin{array}{cc}12&7\\5&3\end{array}\right] * \left[\begin{array}{cc}-15&-17\\26&29\end{array}\right] = \left[\begin{array}{cc}2&-1\\3&2\end{array}\right][/tex]
Expression 2:
[tex]\left[\begin{array}{cc}6.75&3\\-9&-4\end{array}\right] * \left[\begin{array}{c}a&b\end{array}\right] = \left[\begin{array}{c}8&5\end{array}\right][/tex]
Expand:
[tex]\left[\begin{array}{c}6.75a +3b\\-9a - 4b\end{array}\right] = \left[\begin{array}{c}8&5\end{array}\right][/tex]
By comparison, we have:
6.75a + 3b = 8
-9a - 4b = 5
Using a graphing tool, the system of equation has no solution
Hence, the matrix expression cannot be solved
Expression 3:
[tex]\left[\begin{array}{cc}-2&3\\-4&5\end{array}\right] * \left[\begin{array}{c}a&b\end{array}\right] = \left[\begin{array}{c}6&8\end{array}\right][/tex]
Expand:
[tex]\left[\begin{array}{c}-2a +3b &-4a +5b\end{array}\right] = \left[\begin{array}{c}6&8\end{array}\right][/tex]
By comparison, we have:
-2a + 3b = 6
3a + 5b = 8
Using a graphing tool,
a = 3 and b = 4
Hence, the matrix expression is:
[tex]\left[\begin{array}{cc}-2&3\\-4&5\end{array}\right] * \left[\begin{array}{c}3&4\end{array}\right] = \left[\begin{array}{c}6&8\end{array}\right][/tex]
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7.
Quadrilateral PQRS is inscribed in a
circle. The ratio of m/P to m/R is 2: 4.
What is mZR?
F 30°
H 120°
G 60°
Not here
Answer: Ha
Step-by-step explanation:
A discounted concert ticket costs $14.50 less than the original price p. You pay $53 for a discounted ticket. Write an equation that can be used to find the original price.
Answer:
p - 14.5 = 53
Step-by-step explanation:
The original price is p.
The discounted price is $14.50 less than p, or $14.50 subtracted from p. The discounted price is p - 14.5.
The discounted price is $53
Equation:
p - 14.5 = 53
What is the volume of a sphere with a diameter of 10 m, rounded to the nearest tenth of a cubic meter?
[tex]\rule{300}{1} \\ \diamond\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
What is the volume of a sphere with a diameter of 10m, rounded to the
nearest tenth of a cubic metre (m³)?
[tex]\diamond\large\textsf{\textbf{\underline{Answer and How to solve:-}}}[/tex]
[tex]\it{Volume\:of\:a\:sphere:-}[/tex]
[tex]\longmapsto\sf{V=\dfrac{4}{3} \pi r^3}[/tex]
[tex]\bold{\underline{Where:-}}[/tex]
V=Volumeπ = pi r=radius
Provided information:-
diameter = 10 m
What we need in order to find the Volume:-
radius
How to find the radius if we have the diameter?
Since the radius is exactly one-half of the diameter, we divide the diameter by 2:-
[tex]\bold{r=d\div2}[/tex]
Replace d with 10:-
[tex]\bold{r=10\div2}[/tex]
Therefore, the radius of the sphere is
[tex]\bold{r=5}[/tex][tex]\rule{300}{1}[/tex]
✓ Now we have all the required information in order to find the volume of the sphere.
✳︎Substitute 5 in lieu of r:-
[tex]\bold{V=\dfrac{4}{3} \pi (5)^3}[/tex]
➪On simplification,
[tex]\bold{V=\dfrac{4}{2} \pi (125)}[/tex] ◈ Next, write the value of π (3.14…)
[tex]\bold{V=\dfrac{4}{3}\times3.14\times125}[/tex]
On further simplification,
[tex]\bold{V=\dfrac{4}{3} \times392.5}[/tex] Final Step:- Multiply the numbers.
[tex]\bold{V=523.3\:m^3}[/tex]
The answer has been rounded to the nearest tenth (one place after the decimal point)
Therefore, we conclude that the volume of the sphere is
[tex]\bold{V=523.3\:m^3}[/tex]
Good luck with your studies.[tex]\rule{301}{1}[/tex]
3) If 5 pencils costs $0.75, 7 pencils will cost
Your answer
dollars. *
Answer:
$1.05
Step-by-step explanation:
Find the unit price by dividing $0.75 by 5.
$0.75/5 = $0.15
Now find the price of 7 pencils by multiplying 7 and the unit price of $0.15.
$0.15 x 7 = $1.05
Alexandra volunteers on the weekend at the Central Library. As a school project, she decides to record how many people visit the library, and where they go. On Saturday, 473 people went to The Youth Wing, 300 people went to Social Issues, and 402 went to Fiction and Literature.
On Sunday, the library had 1500 total visitors. Based on what Alexandra had recorded on Saturday, about how many people should be expected to go to Social Issues? Round your answer to the nearest whole number.
Answer:
pls that's the answer to the question. thanks.
Luca's science class is making slime from cornstarch and glue. Luca is helping pass out materials. He gives each student 80 grams of cornstarch from a 2-kilogram bucket. If Luca's class has a total of 21 students, how many grams of cornstarch will he have left?
Answer:5
Step-by-step explanation:
please help i really need it
Answer:
6/63
Step-by-step explanation:
To find the probability in fraction form you must first add all the evidence together and then use that number as the denominator
Answer:
2/21
Step-by-step explanation:
There were a total of 7+6+12+19+19=63 spins, 6 of which blue.
So, you can make the fraction 6/63=2/21 to represent the probability of the spinner landing on blue the next spin
