Answer:
Step-by-step explanation:
all you would need to do is add 11 to both sides, and then you would get your answer.
Jack is standing on the ground talking on his mobile phone. He notices a plane flying at an altitude of
2400 metres. If the angle of elevation to the plane is 70° and by the end of his phone call it has an angle
of elevation of 50°, determine the distance the plane has flown during Jack’s phone call - use the cosine rule
Using the cosine rule, the distance the plane has flown during Jack's phone call can be calculated by taking the square root of the sum of the squares of the initial and final distances, minus twice their product, multiplied by the cosine of the angle difference.
To determine the distance the plane has flown during Jack's phone call, we can use the cosine rule in trigonometry.
The cosine rule relates the lengths of the sides of a triangle to the cosine of one of its angles.
Let's denote the initial distance from Jack to the plane as d1 and the final distance as d2.
We know that the altitude of the plane remains constant at 2400 meters.
According to the cosine rule:
\(d^2 = a^2 + b^2 - 2ab \times cos(C)\)
Where d is the side opposite to the angle C, and a and b are the other two sides of the triangle.
For the initial angle of elevation (70°), we have the equation:
\(d1^2 = (2400)^2 + a^2 - 2 \times 2400 \times a \timescos(70)\)
Similarly, for the final angle of elevation (50°), we have:
\(d2^2 = (2400)^2 + a^2 - 2 \times 2400 \times a \times cos(50)\)
To find the distance the plane has flown, we subtract the two equations:
\(d2^2 - d1^2 = 2 \times 2400 \times a \times (cos(70) - cos(50))\)
Now we can solve this equation to find the value of a, which represents the distance the plane has flown.
Finally, we calculate the square root of \(a^2\) to find the distance in meters.
It's important to note that the angle of elevation assumes a straight-line path for the plane's movement and does not account for any changes in altitude or course adjustments that might occur during the phone call.
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Brian is going to buy his first home for $220,000. He has to put $22,000 down. He needs to spread the payments over 180 months to get a 3. 5% fixed annual interest. What is the best estimate of the monthly payment?
The estimated monthly payment for Brian's home loan would $1413.52.
To calculate the best estimate of the monthly payment for Brian's home loan, we can use the formula for calculating a fixed-rate mortgage payment.
The formula for the monthly payment of a fixed-rate mortgage is:
M = P * (r * (1+r)^n) / ((1+r)^n - 1),
where M is the monthly payment, P is the principal amount (loan amount minus down payment), r is the monthly interest rate, and n is the number of monthly payments.
In this case, Brian's principal amount is $220,000 - $22,000 = $198,000 (loan amount minus down payment). The monthly interest rate is 3.5% / 12 = 0.0029 (converted from annual interest rate to monthly rate), and the number of monthly payments is 180.
Plugging in these values into the formula, we get:
M = $198,000 * (0.0029 * (1+0.0029)^180) / ((1+0.0029)^180 - 1).
M = $198,000 * (0.0029 * (1+0.0029)^180) / ((1+0.0029)^180 - 1)
M = $1413.52
Evaluating this expression gives us the best estimate of the monthly payment. However, the calculation involves complex mathematical operations, and it is recommended to use a financial calculator or spreadsheet software to obtain an accurate estimate.
Note: It's important to consult with a financial advisor or a mortgage professional to get precise and personalized information about mortgage terms, interest rates, and monthly payments based on individual circumstances and loan options available.
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you have $90 to buy balloon for your friend party.the balloons cost $18.what are the possible numbers of balloons that you can buy?
Answer:
The answer would be 5.
Step-by-step explanation:
If you take away 18 from 90 would be 72.
72 - 18 =54
54 - 18 =36
36 - 18 =18
18 - 18 =0
If you count that would equal 5 .
Hope this helps .
The scale drawing measures 15 centimeters by 20 centimeters. What are the dimensions of the room?
We need more information for this to be answered.
What is the unit rate for 4,056 miles in 12 hours???
You are going to use an incline plane to lift a heavy object to the top of a shelving unit with a height of 7 ft. The base of the incline plane is 11 ft from the shelving unit. What is the length of the incline plane?
Answer:
We can use the Pythagorean theorem to solve this problem. Let's call the length of the incline plane "L". We know that the height of the shelving unit is 7 ft and the base of the incline plane is 11 ft. The hypotenuse of the right triangle formed by the incline plane, the floor, and the shelving unit will be the length of the incline plane. Using the Pythagorean theorem:
L^2 = 11^2 + 7^2
L^2 = 121 + 49
L^2 = 170
L = sqrt(170)
So the length of the incline plane is approximately 13.04 feet.
THIS IS MY LAST QUESTION SO CAN SOMEONE HELP
ME OUT
Answer:
Step-by-step explanation:
Hello, as this is reflected over the y=o line, it does not change the value for x so this is (3,2)
and the reflection over y=0 line changes the y in -y
thanks
Allison has a six-sided number cube numbered 1 — 6 and a bag containing 1 red marble, 1 blue marble, and 1 green marble. Allison will draw one marble from the bag and roll the number cube. She decides that the size of the sample space of this compound event is 9. Explain whether or not Allison is correct and why. Then represent the sample space with an organized list
The statement by Allison that size of the sample space of this compound event is 9 is incorrect because the size of sample space is 18.
The size of sample space for compound event of drawing one marble from bag and rolling number cube is actually 18, not 9.
There are 3 possible outcomes for drawing a marble = (red, blue, or green) and 6 possible outcomes for rolling number cube = (1, 2, 3, 4, 5, or 6),
So, the total number of possible outcomes for compound event is product of number of outcomes for each individual event = (3 × 6 = 18).
The sample space for compound event can be represented as an organized list, with each outcome listed as an ordered pair of form :
{(red, 1), (red, 2), (red, 3), (red, 4), (red, 5), (red, 6), (blue, 1), (blue, 2), (blue, 3), (blue, 4), (blue, 5), (blue, 6), (green, 1), (green, 2), (green, 3), (green, 4), (green, 5), (green, 6)}.
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136 cars were sold during the month of april. 78 had air conditioning and 68 had automatic transmission. 56 had air conditioning only, 46 had automatic transmission only, and 12 had neither of these extras. what is the probability that a randomly selected car had automatic transmission or air conditioning or both? a) 0.1618 b) 0.9118 c) 0.5000 d) 0.7500 e) 0.1774 f) none of the above.
The probability that a randomly selected car had automatic transmission or air conditioning or both is 0.9118. The result is obtained by dividing the sum of three events by the total cars.
How to calculate the probability of three events?If the events are individual, the probability is the sum of their individual probabilities. It means:
P(A) or P(B) or P(C) = P(A) + P(B) + P(C)
If there were 136 cars,
78 had air conditioning (AC)68 had automatic transmission56 had air conditioning only46 had automatic transmission only12 had neither of these extrasWhat is the probability that a randomly selected car had automatic transmission or air conditioning or both?
With that information, we get the cars had both air conditioning and automatic transmission
= 78 - 56
= 22 cars
See the Venn diagram in the picture attached!
The probability in the question means the probability of selecting the car had AC only or the car had automatic transmission only or the car had both.
So,
P(AC only) or P(auto transmission only) or P(both)
= P(AC only) + P(auto transmission only) + P(both)
= 56/136 + 46/136 + 22/136
= 124/136
= 0.9118
Hence, the probability of selecting a car had automatic transmission or air conditioning or both is 0.9118.
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In a survey of some students, 55% of the students like basketball, 65% lik cricket and 35% like basketball as well as cricket .
.Show the above information in a Venn-diagram ,
. how many percent of students don't like basketball as well as cricket [hint : n (BUC) bar use the formula .....
Answer:
B = 55% - 35%
= 20%
C = 65% - 35%
Remaining % is of neither B nor C
?????????????????????????????? You
Answer:
Step-by-step explanation:
52% in simplest form
Answer:
13/25
Step-by-step explanation:
52% is 52/100, and 52/100 is the same as 26/50, which can be reduced to 13/25
Student Manual
College Readiness Mathematics. Unit 1. Lesson 3
Independent Practice:
School Lunches & Movie Tickets
Find the cost of school lunches (adult and student) for three different area schools. Then create a table
of values. Also find the number of students and teachers at each school.
Write an expression based on the table for each of the following:
Schools
Student
Adult
A
Answer:
I really need this answer
Step-by-step explanation:
Can someone please send me the answer too
Answer:
Step-by-step explanation:
A study was done by an online retail store to determine the rate at which users used its website. A graph of the data that was collected is shown: What can be interpreted from the range of this graph?
The range represents the 54-month time period of the study.
The range represents the 36-month time period of the study.
The range represents the number of users each month for 36 months. The range represents the number of users each month for 54 months.
Answer:
The correct answer is C.
Step-by-step explanation:
First, we can eliminate A and D since it is obviously only 36 months.
Note that the question asks what can be interpreted from the range of the graph.
The range is the number of users in thousands (per month) (as can be seen from the side title).
While B is technically correct, it wrongly interprets the range. C is the best choice.
The correct answer is C.
Label the slope for each line.
Miss Muffet's Spider
Answer:
A=1 B=2 C=7
Step-by-step explanation:
Look at the graph!!!!
Assume that a sample is used to estimate a population proportion p. Find the 98% confidence interval for a sample of size 193 with 41 successes. Enter your answer as an inequality using decimals (not percents) accurate to three decimal places.
The 98% confidence interval is given as follows:
0.144 ≤ p ≤ 0.281.
How to obtain the confidence interval?The sample size is given as follows:
n = 193.
The sample proportion is given as follows:
41/193 = 0.2124.
The critical value for a 98% confidence interval is given as follows:
z = 2.327.
The lower bound of the interval is given as follows:
\(0.2124 - 2.327\sqrt{\frac{0.2124(0.7876)}{193}} = 0.144\)
The upper bound of the interval is given as follows:
\(0.2124 + 2.327\sqrt{\frac{0.2124(0.7876)}{193}} = 0.281\)
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ANSWER FAST AND CORRECTLY AND I'LL MARK BRAINLIEST!!!!!!!
Answer: Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama
Step-by-step explanation:
what is ?? 6x93/5=to
Answer:
111.6
Step-by-step explanation:
6x93/5=111.6
If the difference between the roots of the equation x2+ax+1=0 is less than 5
, then the set of possible values of a is
The set of possible values of a is (-5, 5).
Explanation: The given equation is a quadratic equation in the form of ax^2 + bx + c = 0. We are looking for the values of a that satisfy the condition that the difference between the roots of the equation is less than 5.
For a quadratic equation of the form x^2 + ax + 1 = 0, the discriminant is given by b^2 - 4ac. In this case, b = a, a = 1, and c = 1. The discriminant determines the nature of the roots.
To ensure that the difference between the roots is less than 5, we need the discriminant to be greater than or equal to 0 and less than 25.
Solving the inequality 0 ≤ a^2 - 4(1)(1) < 25 gives us -5 < a < 5. Therefore, the set of possible values of a is (-5, 5), excluding the endpoints.
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What is 150 + 1/6 + 1/2
Answer:
150 and 2/3 or 150.6666...
Step-by-step explanation:
1/6 + 1/2 = 1/6 + 3/6.
1/6 + 3/6 = 4/6 = 2/3
150 + 2/3 = 150 and 2/3
Mark as brainliest please
Answer: exact form is 452/3
decimal form is 150.6
Step-by-step explanation:
number 7 please
7. Determine the approximate location of a GPS receiver if it has been determined that: (4 mark) - Station 1 (at 74, 41) is \( 44 \mathrm{~km} \) away. - Station \( 2( \) at 0,43\( ) \) is \( 38 \math
If Station 1 (at 74, 41) is 44 km away and Station 2( at 0,43 ) is 38 km away. The required approximate location of the GPS receiver is (42, 10).
The location of the GPS receiver can be determined with the help of trilateration. Trilateration is a process of determining absolute or relative locations of points by measurement of distances, using the geometry of circles, spheres, or triangles. If three stations (or more) are in known locations, with a known distance from the point of interest, we can determine the position of the GPS receiver with the help of trilateration.
It can be determined by the following method:
1: Plot the given stations on a coordinate plane. Stations are:
Station 1: (74, 41)
Station 2: (0, 43)
2: Calculate the distance of the GPS receiver from each station using the distance formula.
Distance Formula: The distance formula is used to find the distance between two points in the coordinate plane. The distance between points (x1,y1) and (x2,y2) is given by
d = √[(x2 - x1)² + (y2 - y1)²]
Station 1: Distance from station 1 = 44 kmSo, d1 = 44 km
Station 2: Distance from station 2 = 38 kmSo, d2 = 38 km
3: Plot the given distances as the circle on the coordinate plane.
Circle 1: Centred at (74, 41) with a radius of 44 km.
Circle 2: Centred at (0, 43) with a radius of 38 km.
4: The intersection of two circles. Circle 1 and Circle 2 intersect at point P (approx) (42, 10). So, the approximate location of the GPS receiver is (42, 10).
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or
1. The starting point of a___ or____
is the endpoint.
Answer:
1. The starting point of a ray or line segment
is the endpoint.
Step-by-step explanation:
hope it may help you!
Answer:
The starting point of a ray or line segment is the endpoint.
Step-by-step explanation:
hope it may help you
I need help with this practice, Read below then read the picture providedAssume that I am deciding to attend either two community colleges Loris State Community College/ Cost for two year tuition $9,500Marlo State Community College/ Cost for two year tuition $10,500
Solution
Part A
First school
Loris State Community College
Cost for two year tuition $9,500
\(\begin{gathered} simple\text{ Interest=}\frac{PRT}{100} \\ p=9500 \\ r=5\text{ \%} \\ t=15 \\ \\ Simple\text{ interest=}\frac{9500\times5\times15}{100}=95\times75=7,125 \\ \\ Amount\text{ =P+I} \\ Amount=9500+7125=\text{ \$}16,625 \end{gathered}\)15 years to months
\(\begin{gathered} 1year\text{ =12months} \\ 15years=15\times12 \\ 15years\text{ =180months} \end{gathered}\)Amount to pay monthly
\(\frac{16,625}{180}=92.36\)You will have to pay $92.36 monthly
Par B
Marlo State Community College/ Cost for two-year tuition $10,500
\(\begin{gathered} Simple\text{ interest=}\frac{PRT}{100} \\ \\ p=10,500 \\ r=5\text{ \%} \\ t=15 \\ Simple\text{ Interest=}\frac{10,500\times5\times15}{100} \\ simple\text{ interest =105}\times75 \\ Simple\text{ interest =7,875} \\ Amount=P+I \\ Amount=10,500+7,875 \\ Amount\text{ = \$18,375} \end{gathered}\)Now the monthly pay
15years =180months
\(\frac{18375}{180}=102.08\)The monthly pay is $102.08
The volume of a cone with height
h
and radius
r
can be found using the formula
V
=
1
3
π
r
2
h
Find the volume of a cone with radius 8 feet and height 7 feet.
The volume of the cone has a value of 410.67 cubic meters
How to determine the volume of the cone?From the question. the height and the radius of the cone are given as
Height = 7 feet
Radius = 8 feet
The volume of the cone can be calculated using the following volume formula
Volume = 1/3πr^2h
Substitute the known values in the above equation
So, we have
Volume = 1/3 * 22/7 * 8 * 7^2
Evaluate the products
Volume = 410.67
Hence, the volume is 410.67 cubic meters
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Pls I need this ASAP! I’ll mark brainliest!
What is the sum of 4/10x + -1x + 1 7/10x?
Answer:
I think its 11x/10
Step-by-step explanation:
line 1: y=-2x+4 and line 2: y=-2x the system has exactly on solution or infinite solution or no solutions.
The system of equation line 1: y=-2x+4 and line 2: y=-2x has no solution.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
We are given the system of equation as;
line 1: y=-2x+4
line 2: y=-2x
Here we can put x = 1
Then;
y= -2(1) + 4
y = -2 + 4
y = 2
-2x=-2x+4
x = 0
Therefore, we can see that the system of equation has no solution.
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\(25^{a+3}* 5^{3a}\)
Please explain how you got your answer.
14 An amusement park charges an entry fee of $29.50, plus an additional $2.50 for each park ride.
Lisa brought $81 to the amusement park. What is the maximum number of park rides Lisa could
enjoy?
F 20
G
21
H
32
33
Answer:
20
Step-by-step explanation:
First you need to subtract the entrance fee 81 - 29.50 = 51.50
Now divide the amount left by each rides price to find your answer
51.50 / 2.50= 20.6
Since you cannot ride a .6 of a ride you will have to go to the nearest whole number without rounding up it will be twenty rides
Find measure of angle QPR. *
Answer:
QPR=22
Step-by-step explanation:
angles on straight line are supplementary
ezra is redrawing the blueprint shown of a stage he is planning to build for his band. by what percentage should he multiply the dimensions of the stage so that the dimensions of the image are 12 the size of the original blueprint? what will be the perimeter of the updated blueprint?
The perimeter of the updated blueprint will be 24 times the sum of the original length and width.
If Ezra wants to multiply the dimensions of the stage by a certain percentage to make the image 12 times larger than the original, he needs to find out what percentage that is.
To do this, he can divide the desired size of the new stage by the original size of the stage, and then multiply by 100 to get the percentage increase. So, if the original blueprint dimensions are x by y, and he wants to make the image 12 times larger, the new dimensions will be 12x by 12y.
To find the percentage increase, he can use the following formula:
Percentage increase = [(new size - original size) / original size] x 100
In this case, the new size is 12 times the original size, so the formula becomes:
Percentage increase = [(12x * 12y - x * y) / (x * y)] x 100
Simplifying this expression gives:
Percentage increase = [(144xy - x * y) / (x * y)] x 100 = 14300%
Therefore, Ezra needs to multiply the dimensions of the stage by 14300% to make the image 12 times larger than the original blueprint.
To find the perimeter of the updated blueprint, he can use the formula for the perimeter of a rectangle, which is: Perimeter = 2(length + width)
In this case, the length and width have been multiplied by 12, so the new perimeter becomes:
Perimeter = 2(12x + 12y) = 24(x + y)
Therefore, the perimeter of the updated blueprint will be 24 times the sum of the original length and width.
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