The probability that a point is chosen at random in the shaded region will be 0.25.
What is probability?Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.
Probability = (Favorable event) / (Total event)
The area of the shaded circle below is 78.5 square inches.
The area of the large circle is 314 square inches.
A shaded circle is inside of a larger unshaded circle.
Then the probability that a point is chosen at random in the shaded region will be
P = 78.5 / 314
P = 1 / 4
P = 0.25
Then the correct option is A.
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An observer (O) spots a bird flying at a 35° angle from a line drawn horizontal to its nest. If the distance from the observer (O) to the bird (B) is 21,000 feet, how far is the bird (B) from its nest (N)? Round to the nearest whole number. A right triangle BNO is shown with angle B marked 35 degrees, side BN marked x, and side BO marked 21,000 feet.
the answer is 17,202 feet
The bird (B) from its nest (N) is 17202 ft.
What is Trigonometric functions?
Trigonometric functions defined as the functions which show the relationship between angle and sides of a right-angled triangle.
This is very obviously a right triangle problem.
Side BO is the hypotenuse of the triangle, measuring 21000.
Side BN is the side adjacent to the given angle B, 35 degrees.
This is the cosine ratio:
cos∅ = adj/hyp
substitute the values
cos35° = x/21000 and solving for x:
21000.cos(35°) = x
x = 17202.19 or, rounded as we need:
x = 17202
Hence, the bird (B) from its nest (N) is 17202 ft
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The length of a rectangle is 7 more than the width. The area is 744 sqaure yards, find the length and width of the rectangle
Answer:
Length of rectangle is 31 yards and Width is 24 yards.
Given:
The length of a rectangle is 7 more than the width. The area is 744 sqaure yardsSolution:
Let's assume Width of rectangle be x and Length of rectangle be x + 7 respectively.
Using formula
[tex] \\ \: \: \: \: \pink{ \dashrightarrow \: \: \: \: \sf { \underbrace{Area_{(Rectangle)} = Length × Width }}} \\ \\ [/tex]
On Substituting the required values, we get;
[tex]\\ \: \: \: \: \dashrightarrow \: \: \: \: \sf (x)(x + 7) = 744 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf {x}^{2} + 7x = 744 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf {x}^{2} + 7x - 744 = 0 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf {x}^{2} + 31x - 24x - 744 = 0 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf x(x + 31) - 24 (x + 31) = 0 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf (x + 31)(x - 24) = 0 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf x = 24 \: or \: - 31 \\ \\ [/tex]
As we know that width of the rectangle can't be negative. So x = 24
Hence,
Width of rectangle = x = 24 yardsLength of the rectangle = x + 7 = 31 yards[tex] \therefore[/tex]Length of rectangle is 31 yards and Width is 24 yards.
At an assembly, 7 out of the first 12 students who entered the gym were carrying a backpack. Based on this information, if 648 students were at the assembly, how many students could be expected to be carrying a backpack?
The number of students that are expected to carry a backpack is = 378
Calculation of total number of studentsThe total number of students in the assembly= 648
The number of students that enters the gym =12
The number of students carrying backpack = 7 out of 12
The total number of batches that entered the gym = 648/12 = 54
Therefore, the number of students that are expected to carry a backpack is = 54 ×7 = 378
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please answer!!! will give a lot of points and brainliest if i can figure that out
Answer:
[tex]2\sqrt{14}[/tex]
Step-by-step explanation:
To find, do 9^2-5^2=[tex]\sqrt{x\\}[/tex], so 81-25=56 which is 2[tex]\sqrt{14}[/tex]
Answer:
[tex]2\sqrt{14}[/tex]
Step-by-step explanation:
The missing side must be [tex]2\sqrt{14}[/tex] for the Pythagorean Theorem to be true.
Hope it helps, have a fantastic day.
Help me!!!!
I don’t understand the equation
Step-by-step explanation:
it does not matter, if you understand the equation itself. look at the graph ! what is the curve doing ?
I don't know the options of the pull-down menus, so I will give you my best guesses based on the facts :
the domain of a function is the set or interval of all valid x (or input) values.
the range of a function is the set of interval of all valid y (or functional result) values.
so, clearly, x is in the interval (-infinity, +infinity). which is therefore the domain.
please conduct the round brackets. they indicate that the specified interval limits are not included (as infinity is not a value, only a concept, and can never be reached).
and y is in the interval of (0, +infinity). which is therefore the range.
we have to use the round brackets also for 0, as the function will never deliver the value 0, but its tendency or limit goes there (but again, only in infinity, which will never be reached).
the function continuously decreases when x increases.
again, I am not sure what the options are here, and what your teacher wants to "hear".
Rina Botwright receives $624 gross salary biweekly. Her income tax rate is 14%. Her group health plan contribution is $4.25 per pay period. She belongs to the company retirement plan, to which she contributes 6% of her earnings. She is also covered under Social Security benefits. Her current contribution is 6.05%
If these items are all her deductions, what is her take-home pay per period?
Rina gets a $35 raise per pay period. If her health plan is unchanged, how much of the raise will she have to take home?
take-home pay per period = $
amount of raise taken home = $
Rina Take home pay is $457.20
what is Salary percentage?
The basic salary divided by the Gross salary is multiplied by 100. The result is the percentage of gross salary.
Given that:
gross salary = $624
14% income tax = 624* 0.14 = $87.36
group health plan = $4.25
Company retirement = 624 * 0.060 =$37.44
Social Security = 624 * 0.0605 = $37.752
Home pay= 624 - 87.36 - 4.25 - 37.44- 37.752
= 457.198
Her take home pay is $457.198
if she gets a $35 raise per pay period,
So, new gross salary would be,
= $624 + $35
= $659.
Again, we have
14% Income tax = 659 * 0.14 = $92.26
Group health plan = $4.25
Company retirement = 659 * 0.060 = $39.54
Social Security = 695* 0.0605 = $39.8695
Home take pay,
=659-39.8695 - 45.825 - 39.54-92.26
=441.5055
Her take home pay is $441.5055
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what is value of 3(√3(80-x)
Answer:
= 240√3-3√3x
Step-by-step explanation:
parentheses:
=3√3 (80 – x)
Apply the distributive law:
a=3√3, b= 80, c =X
=3√3×80-3√3x
=3× 80√3 -3√3x
Multiply the numbers: 3×80 = 240
= 240√3-3√3x
Michelle started doing a puzzle at 7:50 p.m. She finished the puzzle at 8:34 p.m. How long did Michelle work on the puzzle?
Answer:
44 minutes
Step-by-step explanation:
Given:
Michelle started doing a puzzle at 7:50 p.m. She finished the puzzle at 8:34 p.m.
To Find:
How long did Michelle work on the puzzle?
Solve:
Began Time ⇒ 7:50 p.m
End Time ⇒ 8: 34 p.m
Since they are both p.m we could just subtract 8:34 by 7:50.
But first we know that:
8: 34 the 34 can't be subtracted by 7:50 the 50.
Thus we know that:
1 Hour = 60 minutes
Hence,
changing 8:34 p.m from 1 hour to 60 minutes. Which given us 7:94.
Then,
7:94 - 7:50
= 44
Hence, Michelle work on the puzzle for 44 minutes.
Kavinsky
Solve for m < L
Enter your answer in the box. Round your final answer to the nearest degree.
The cosine is the ratio of hypotenuse and base. Then the measure of the angle ∠L will be 60°.
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The right-angle triangle is given below.
The length of the hypotenuse is 16 and the base length is 5.
Then the measure of the angle ∠L will be
cos L = 5 / 10
cos L = 1 / 2
L = cos⁻¹ (1 / 2)
L = 60°
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16. Prove that the sum of three angles of triangle is two right angles.
Answer:
Two right angles = 180 degrees
Step-by-step explanation:
A right angle = 90 degrees
The sum of the interior angles of a triangle = 180 degrees
Two right angles (2 * 90) = 180
180 = 180
Therefore, the sum of the interior angles of any triangle is equal to two right angles.
please help me asap help help please please help me please please
Answer:
d.45 sq.ft
Step-by-step explanation:
Surface are i.e. Total surface area of square pyramid = a^2 + 2al
where a^2 is area of base
a is side of base
l is slant height
by the figure
a=3ft
a^2 = a×a
=3×3
=9ft
l=6ft
Surface area = a^2+2al
=9+2×3×6
=9+36
=45 sq.ft
help me help The function h is defined by the following rule.
Answer:
-1
-2
-5
-4
-1
Step-by-step explanation:
plug in each given number for x in the function:
- (-4) - 5
a negative negative is also a positive
4 - 5 = -1
- (-3) - 5
3 - 5 = -2
0 - 5 = -5
1 - 5 = -4
4 - 5 = -1
according to "Black Hole Beginnings," the destruction of some stars results in inbursts of light. an intense gravitational pull.a booming nuclear reaction. clouds of gasses.
According to "Black Hole Beginnings," the destruction of some stars results in an an intense gravitational pull.
To answer the question, we need to know what Black Holes are.
What are Black Holes?Blackholes are regions of space in which no matter can escape
Characteristics of black holesBlack holes are formed from the remnants of large star that dies in a supernovaAs long as the star is three times or more larger than the sun, it will collapseThe gravitational force on the star causes it to collapse into a black holeSo, when black holes are formed, some stars are destroyed and collapse due to intense gravitational forces.
So, according to "Black Hole Beginnings," the destruction of some stars results in an an intense gravitational pull.
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In the parallelogram above, if angle R is 56 degrees, what is the value of x + y?
Answer:
248
Step-by-step explanation:
Consecutive angles of a parallelogram are supplementary.
56 + y = 180
y = 180-56
y =124
The opposite angles of a parallelogram are equal.
x = y = 124
x+y = 124+124
=248
Answer:
x + y = 248
Step-by-step explanation:
consecutive angles in a parallelogram sum to 180°
opposite angles are congruent
x + 56° = 180° ( subtract 56° from both sides )
x = 124°
then
y = x = 124 , so
x + y = 124 + 124 = 248
with steps pls
7662247+20728678+33807580=
Answer:
7662247+20728678=28290925+33807580=620985505
Andrea recorded the points she scored in her last eight basketball games:
28, 32, 47, 16, 40, 35, 38, 54.
Give an example of a statistical question you could answer using the mean or the median. Explain your reasoning.
solve the inequality -28n is less than or equal to 7
Answer:
n >= -1/4
Step-by-step explanation:
Divide both sides by the same factor, and flip the relation because the factor is negative
-28n/-28 >= 7/-28
Simplify,
Cancel terms that are in both the numerator and denominator.
n >= 7/-28
Divide the numbers.
n >= 7/-28 = n >= -1/4
The answer is n >= -1/4
Hope this helps!
Can someone please answer this, ill give you brainliest Would be very appreciated.
For the function: y = x² + 4
y intercept: (0, 4)x intercept: Nonevertex: (0, 4)For the function: x² - 4
y intercept: (0, -4)x intercept: (-2, 0) and (2, 0)vertex: (0, -4)For the function: 1 - x²
y intercept: 1x intercept: (1, 0) and (-1, 0)vertex: (0, 1)Conclusion:
green line = x² + 4; blue line = x² - 4; black line = 1 -x²
Answer:
See below ~
Step-by-step explanation:
Equation of Graph A :
No x-interceptsY-intercept at (0, 4)y = x² + 4Equation of Graph B :
x-intercepts at (-2, 0) and (2, 0)y = (x - 2)(x + 2)y = x² - 4Equation of Graph C :
opens downwards ⇒ coefficient of x² is -vex-intercepts at (-1, 0) and (1, 0)y = - (x + 1)(x - 1)y = -x² + 1y = 1 - x²Make x the subject of these equations.
a(x + b) = c
X =
Answer:
x = [tex]\frac{c-ab}{a}[/tex]
Step-by-step explanation:
a(x + b) = c ← distribute parenthesis on left side
ax + ab = c ( subtract ab from both sides )
ax = c - ab ( divide both sides by a )
x = [tex]\frac{c-ab}{a}[/tex]
Answer:
Just expand and solve for x :)
Help pls with give brainilist
Triangle JKL has vertices J(−3, 1), K(0, 3) and L(4, −2). What are the coordinates of vertex L after the triangle is translated 2 units right and and 5 units down?
Answer:
L translated is now (6, -7)
Tara just bought her first car in order to commute to college, a used 2014 Toyota RAV4! The value of the car today is $13,000, but will lose 11% of it’s value each year for the next several years. Down the road, Tara will trade the RAV4 in for a down payment on a newer car. If she trades in her car 4 years from now, how much will it be worth?
The future value after 4 years will be $8156.49 if the value of the car today is $13,000 but will lose 11% of its value each year for the next several years.
What is future value?Based on an estimated growth rate, the future value is the amount that an asset will be valued at a future date. The computation assumes that at the start date, a fixed amount of cash is made available for investment and that it increases at a constant rate until the selected future date.
We have:
Current value of the car = $13,000
Depreciation rate = 11%
Time n = 4 years
[tex]\rm Future \ value = (value \ at \ present) ( 1- \dfrac{depreciation \ rate}{100})^n[/tex]
[tex]\rm Future \ value = (13000)(1-\frac{11}{100} )^4[/tex]
Future value = $8156.49
Thus, the future value after 4 years will be $8156.49 if the value of the car today is $13,000 but will lose 11% of its value each year for the next several years.
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Mateo is roasting a chicken. He must make sure the chicken has a minimum internal temperature of 165 degrees so that it is
safe to eat. Using a thermometer, he takes the temperature of the chicken in three random places. The minimum temperature in
the sample is 172 degrees.
Identify the population and the sample. (4 points)
• Population: 165 degrees; Sample: 172 degrees
• Population: 172 degrees; Sample: 165 degrees
• Population: all the chicken meat; Sample: 172 degrees
• Population: three random places in the chicken; Sample: all the chicken meat
• Population: all the chicken meat; Sample: three random places in the chicken
Using sampling concepts, it is found that the population and the sample are given by:
Population: all the chicken meat; Sample: three random places in the chicken.
What is sampling?It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population.
In this problem, a group of 3 chicken meat is taken from all the chicken meat, which is the population, hence the correct option is given by:
Population: all the chicken meat; Sample: three random places in the chicken.
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Convert to decimal degrees 43 degrees 25 minutes 36 seconds
Answer:
43.43
Step-by-step explanation:
Convert 25 minutes to decimal degrees by 25/60 = 0.416...=0.42
Convert 36 seconds to decimal degrees by 36/3600 (There are 3600 seconds in a degree) = 0.01
Now you have:
43 degrees, 0.42 degrees. and 0.01 degrees.
Add them all to get 43.43
Help me please 50 points and brainliest.
The answer is -2
Sure hope this helps you
What is the total surface area of a square pyramid with a base length of 10 meters and a slant height of 13 meters?
Answer:
379 (Rounded to nearest whole)
A = a² + 2a [tex]\sqrt{\frac{a^2}{4} + h^2}[/tex]
= 10² + 2 × 10 × [tex]\sqrt{\frac{10^2}{4} + 13^2 }[/tex] ≈ 378.57
Which is the explicit rule for the geometric sequence? 10,-30,90,-270,…
an=-1/3n+10
an=10(-3)n-1
an=-10(1/3)n-1
an=-3n
Answer:
the ans is c
Step-by-step explanation:ive done it b4
Claire has $88.50 in her bank account. She gets paid for 8 hours of work and deposits her entire paycheck. Now she has $180.50 in her account. How much does Claire earn per hour?
Avery solves the equation below by first squaring both sides of the equation.
Answer:
z = 7/3 is extraneous.
Step-by-step explanation:
√(z^2+8) = 1 - 2z
z^2 + 8 = (1 - 2z)^2
z^2 + 8 = 1 -4z + 4z^2
3z^2 - 4z - 7 = 0
3z^2 + 3z - 7z - 7 = 0
3z(z + 1) - 7(z + 1) = 0
(3z - 7)(z + 1) = 0
3z = 7, z = -1
z = 7/3, -1.
One of these might be extraneous.
Checking:
√(z^2+8) = 1 - 2z, if z = -1:
√(1 + 8) = 3, -3
1 - 2(-1) = 3. So its not z = -1
if z = 7/3
√((7/3)^2 + 8) = 13.44
1 - 2(7/3) = -3.66
So its z = 7/3
Answer:
[tex]z=\dfrac{7}{3}[/tex]
Step-by-step explanation:
Given equation:
[tex]\sqrt{z^2+8}=1-2z[/tex]
Square both sides:
[tex]\implies (\sqrt{z^2+8})^2=(1-2z)^2[/tex]
[tex]\implies z^2+8=1-4z+4z^2[/tex]
Subtract [tex]z^2[/tex] from both sides:
[tex]\implies 8=1-4z+3z^2[/tex]
Subtract 8 from both sides:
[tex]\implies 0=-7-4z+3z^2[/tex]
[tex]\implies 3z^2-4z-7=0[/tex]
Rewrite the middle term:
[tex]\implies 3z^2+3z-7z-7=0[/tex]
Factor the first two terms and the last two terms separately:
[tex]\implies 3z(z+1)-7(z+1)=0[/tex]
Factor out the common term [tex](z+1)[/tex]:
[tex]\implies (3z-7)(z+1)=0[/tex]
Therefore:
[tex]\implies (z+1)=0 \implies z=-1[/tex]
[tex]\implies (3z-7)=0 \implies z=\dfrac{7}{3}[/tex]
To find the extraneous solution (the root that is not a root of the original equation), enter the two found values of z into the original equation:
[tex]\begin{aligned}z=-1\implies \sqrt{(-1)^2+8}&=1-2(-1)\\\implies 3&=3\implies \textsf{true}\\\end{aligned}[/tex]
[tex]\begin{aligned}z=\dfrac{7}{3} \implies \sqrt{\left(\frac{7}{3}\right)^2+8}&=1-2\left(\frac{7}{3}\right)\\\implies \dfrac{11}{3} &=-\dfrac{11}{3}\implies \textsf{false}\end{aligned}[/tex]
[tex]\textsf{As}\: \dfrac{11}{3} \neq -\dfrac{11}{3}\:\textsf{then}\: z=\dfrac{7}{3}\:\textsf{is the extraneous solution}[/tex]
Which statement is true?
All squares are rhombuses. Rhombuses have 4 right angles. Therefore, all squares have 4 right angles.
Only some squares are rhombuses. Rhombuses have 4 sides that are the same length. Therefore, only some squares have 4 sides that are the same length.
All squares are rhombuses. Rhombuses have 4 sides that are the same length. Therefore, all squares have 4 sides that are the same length.
Only some squares are rhombuses. Rhombuses have 4 right angles. Therefore, only some squares have 4 right angles.
Answer:
C) All squares are rhombuses. Rhombeses have 4 sides that are the same length. Therefore, all squares have 4 sides that are the same length.
Step-by-step explanation: