The sum of all andles in quadrilateral is equal to 360°, so
[tex]5x - 30 + 60 - x + 3x + 60 + 4x + 50 = 360 \\ 11x = 220 \\ x = 20[/tex]
Now we need to put x into polynomials
1)
[tex]5 \times 20 - 30 = 70[/tex]
2)
[tex]60 - 20 = 40[/tex]
3)
[tex]3 \times 20 + 60 = 120[/tex]
4)
[tex]4 \times 20 + 50 = 130[/tex]
Answer: the smallest ahgle is 60-x
The box plot was created by using which pieces of data?
A box-and-whisker plot. The number line goes from 0 to 130. The whiskers range from 5 to 130, and the box ranges from 10 to 105. A line divides the box at 40.
a maximum of 130 and a lower quartile of 10
a maximum of 130 and a lower quartile of 5
a maximum of 135 and a lower quartile of 10
a maximum of 135 and a lower quartile of 5
Answer:
(a) a maximum of 130 and a lower quartile of 10
Step-by-step explanation:
The whiskers of a box plot extend from the minimum to the maximum. The box ranges from the lower quartile to the upper quartile. The middle line divides the box at the median.
Your plot has ...
minimum: 5lower quartile: 10median: 40upper quartile: 105maximum: 130The maximum and lower quartile are correctly described as 130 and 10, respectively.
Answer:
A. a maximum of 130 and a lower quartile of 10
Step-by-step explanation:
My living room is 6m (to the nearest m) by 5m (to the nearest m). What is the maximum and minimum area of my living room? Write your answer as an error interval.
Whoever helps I'll give a brainliest x
Answer:
24.75m ≤ 30m < 35.75m
Step-by-step explanation:
Minimum area:
5.5 (lower bound of 6m) * 4.5 (lower bound of 5m) = 24.75m
Maximum area:
6.5 (upper bound of 6m) * 5.5 (upper bound of 5m) = 35.75m
Normal area:
6*5=30m
I hope that makes some sense or helps a little!
Find 3 consecutive even integers whose sum is 138.
Answer:
The integers are:
44,46,48
Step-by-step explanation:
If the smallest angle of rotation for a regular polygon is 18°, how many sides does polygon have?
10
12
20
24
Answer:
The answer is 20
Step-by-step explanation:
Given that the smallest angle of rotation for a regular hexagon is 18°. We are to find the number of sides of the polygon. Since the polygon is regular, so all its sides and angles are equal.
Answer:
its 20
Step-by-step explanation:
got it right on my test
factor the common factor 4 - 2n
Answer:
2(2-n)
Step-by-step explanation:
4 - 2n
Factor out a 2
2*2 -2n
2(2-n)
Use the interactive graph to plot each set of points which set represents proportional relationships check all that apply
Answer:
the first and third
Step-by-step explanation:
Answer:
A and C
Step-by-step explanation:
Your math teacher asks you to help calculate the height of the gulf coast on your football field you and your partner gather the measured as shown find the height of the top of the goal post round to the nearest 10th of a foot
Answer:
Check the explanation
Step-by-step explanation:
Kindly check the attached image for the step by step explanation for the answer to the question
Identify the conic that is formed by the intersection of the plane described and double-napped cone.
A plane is perpendicular to m and does not intersect the vertex.
What is the conic section formed?
A. circle
B. parabola
C. ellipse
Answer:
A. Circle
Step-by-step explanation:
Perpendicular to m is parallel to the base of the cones (circular).
Therefore the cross section would be a circle (except at the vertex)
Keith Jones purchased a $50,000 policy. At the tenth anniversary what would be the cash value of his policy?
Answer:
The answer is "$ 4450"
Step-by-step explanation:
Purchased policy price = $50,000
10th anniversary cash value = ?
The after calculation its final value is = $ 4450
you decide to invest in a period annuity that offers 4.5% APR compounded monthly for 15 years how much money will you need to invest if your desired yearly income is $40,000?
A. $460,000.00
B.$321,631.08
c.$471,283.83
D$432,835.96
Answer:
The answer is $321,631.08
Step-by-step explanation:
I just did a test on it. Got it wrong, but it showed me the right answer.
Answer:
321,621,numbers
Step-by-step explanation:
Which rule describes the relationship between the x- and y- coordinates on following graph?
A: y = 3x B: y = 2x + 2
On a map the distance between two towns is 12 centimeters. If 3 centimeters represents 90 miles what is the actual distance between the cities in miles
the actual distance between the two towns is 360 miles.
What is Scale?The ratio used to depict the relationship between the dimensions of a model or scaled figure and the corresponding dimensions of the real figure or object is called the scale. On the other hand, a scale factor is a value that is used to multiply all of an object's parts in order to produce an expanded or decreased figure.
Given, On a map, the distance between two towns is 12 centimeters.
Also given, 3 centimeters represent 90 miles on the map.
Since 12 centimeters represent the distance between the two towns on the map, we can set up the proportion:
3 centimeters : 90 miles = 12 centimeters : x miles
where x represents the actual distance between the two towns in miles.
To solve for x, we can cross-multiply and simplify:
3 centimeters * x miles = 90 miles * 12 centimeters
3x = 1080
x = 360
Therefore, the actual distance between the two towns is 360 miles.
Learn more about scale here:
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Evaluate the expression 9P1
Answer :
9
Explanation :
The expression above signifies the Permutation expression
Permutation expression is given as nPr
The Permutation expression is calculated as:
nPr = P(n, r) = n! / (n - r)!
It the above question, we were asked to evaluate the expression 9P1
From the above question, we can see that:
n = 9 and r = 1
Therefore, the expression
9P1 = 9! / ( 9 - 1) !
9P1 = 9! / 8!
= 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 / 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 362880 /40320
= 9
Therefore, the evaluation of the expression 9P1 = 9
Final answer:
To evaluate the expression 9P1, we calculate the permutation for selecting 1 item from 9, which simplifies to 9/1, giving us the answer of 9.
Explanation:
The student has asked to evaluate the expression 9P1, which is a permutation problem. To find 9P1, we use the permutation formula, which is P(n, k) = n! / (n-k)!, where n is the total number of items to choose from, and k is the number of items to choose. In this case, since we want to choose 1 item from 9, the permutation is calculated as:
Identify the values of n and k (n=9, k=1).Apply the permutation formula: 9P1 = 9! / (9-1)! = 9! / 8!.Simplify the factorial expression: 9! / 8! = 9 / 1 = 9.Therefore, the value of 9P1 is 9.
The Jones family has saved a maximum of $750 for their family vacation to the beach. While planning the trip, they determine that the hotel will average $125 a night and tickets for scuba diving are $75. The inequality can be used to determine the number of nights the Jones family could spend at the hotel
750≥75 + 125h
Answer:
Value of h greater than 5.4 will make inequality false.
Step-by-step explanation:
This question is incomplete; here is the complete question.
The Jones family has saved a maximum of $750 for their family vacation to the beach. While planning the trip, they determine that the hotel will average $125 a night and tickets for scuba diving are $75. The inequality can be used to determine the number of nights the Jones family could spend at the hotel 750 ≥ 75 + 125h. What value of h does NOT make the inequality true?
From the given question,
Per night expense (expected) = $125
If Jones family stays in the hotel for 'h' days then total expenditure on stay = $125h
Charges for scuba diving = $75
Total charges for stay and scuba diving = $(125h + 75)
Since Jones family has saved $750 for the vacation trip so inequality representing the expenses will be,
125h + 75 ≤ 750
125h ≤ 675
h ≤ [tex]\frac{675}{125}[/tex]
h ≤ 5.4
That means number of days for stay should be less than equal to 5.4
and any value of h greater than 5.4 will make the inequality false.
3m + 9 - 9m = 2m + 25 whats m
Answer:
8
Step-by-step explanation:
3m + 9 -9m = 2m + 25
3m + 9 = 11m + 25
9 = 8m + 25
16/2 = 8m/2
M = 8
After a birthday party,
1/4
of a large cake was left. If this piece of cake was shared equally among the 6 people, what fraction of the whole cake did each person receive?
A) 24
B)
1/24
C)
1/6
D)
4/6
Answer: 1/24
Step-by-step explanation:
If one fourth was split into six pieces, you would multipli six by one fourth to get 1.24==
Find the area of a semicircle
Answer:
18pi, or 56.52
Step-by-step explanation:
To start off, if you were to find the area of any whole circle, you would use the formula: pi x radius^2 = area of circle
However, since this is a semi-circle (half of a whole circle) you would divide the whole expression by 2, and then solve:
(pi x radius^2)/2 = area of semi-circle
(pi x 6^2)/2 = area of semi-circle
(36 x pi)/2 = area of semi-circle
18 x pi = area of semi-circle
18 x 3.14 = area of semi-circle
56.52 = area of semi-circle
The area of a circle is
[tex]\pi \: {r}^{2} [/tex]
So the area of a semicircle would be half of that, or
[tex] \frac{\pi}{2} {r}^{2} [/tex]
So just plug in the radius, six, to get this
[tex]18\pi[/tex]
You might need:
A circle has a circumference of 1,133.54 units.
What is the diameter of the circle?
units
Answer 360.81 units
Answer:
360.82 units
Step-by-step explanation:
The circle has a circumference of 1,133.54 units.
The circumference of a circle is given as:
C = πD
where D = diameter
This implies that:
1133.54 = πD
=> D = 1133.54 / π
D = 360.82 units
Its diameter is 360.82 units
A bicycle factory produces 1505 bicycles in a week. How many bicycles will it produce in 30 days?
and
20 apples are distributed between Aaron and Ben in the ratio 2 : 3. Find, how many does each get?
Answer:
It will produce 6450 bicycles in 30 days
Aaron has 8 apples and Ben has 12 apples
Step-by-step explanation:
A)
A bicycle factory produces 1505 bicycles in a week.
No. of days in 1 week = 7
So, Number of bicycles produced in 7 days = 1505
Number of bicycles produced in 1 day =[tex]\frac{1505}{7}[/tex]
Number of bicycles produced in 30 days = [tex]\frac{1505}{7} \times 30=6450[/tex]
So, It will produce 6450 bicycles in 30 days
B)20 apples are distributed between Aaron and Ben in the ratio 2 : 3.
Let the ratio be x
So, Aaron has apples = 2x
Ben has apples = 3x
So, 2x+3x=20
5x=20
x=4
Aaron has apples = 2x =2(4)=8
Ben has apples = 3x =3(4)=12
Hence Aaron has 8 apples and Ben has 12 apples
The 5th term in a geometric sequence is 160. The 7th term is 40. what are the possible values of the 6th term of the sequence?
A. +- 70
B. 70
C. +-80
D. 80
We have been given that the 5th term in a geometric sequence is 160. The 7th term is 40. We are asked to find the possible values of 6th term of the sequence.
We know that an geometric sequence is in form [tex]a_n=a\cdot r^{n-1}[/tex], where,
[tex]a_n[/tex] = nth term of sequence,
a = First term,
r = Common ratio,
n = Number of terms.
We will get two equations using our given information as:
[tex]160=a\cdot r ^{5-1}...(1)[/tex]
[tex]160=a\cdot r ^{4}...(1)[/tex]
[tex]40=a\cdot r ^{7-1}...(2)[/tex]
[tex]40=a\cdot r ^{6}...(2)[/tex]
Upon dividing equation (2) by equation (1), we will get:
[tex]\frac{40}{160}=\frac{a\cdot r^6}{a\cdot r^4}[/tex]
[tex]\frac{1}{4}=r^{6-4}[/tex]
[tex]\frac{1}{4}=r^{2}[/tex]
[tex]r^{2}=\frac{1}{4}[/tex]
[tex]\sqrt{r^{2}}=\pm\sqrt{\frac{1}{4}}[/tex]
[tex]r=\pm\frac{1}{2}[/tex]
Let us solve for a.
[tex]160=a\cdot (\frac{-1}{2})^{4}[/tex]
[tex]160=a\cdot \frac{1}{16}[/tex]
[tex]160\cdot 16=a\cdot \frac{1}{16}\cdot 16[/tex]
[tex]2560=a[/tex]
So our formula would be [tex]a_n=2560\cdot (\pm\frac{1}{2})^{n-1}[/tex].
We cannot determine whether the common ratio would be positive or negative, so we will take both values.
[tex]a_6=2560\cdot (\pm\frac{1}{2})^{6-1}[/tex]
[tex]a_6=2560\cdot (\pm \frac{1}{2})^{5}[/tex]
[tex]a_6=2560\cdot \pm \frac{1}{32}[/tex]
[tex]a_6=\pm 80[/tex]
Therefore, the 6th term of the sequence would be [tex]\pm 80[/tex] and option C is the correct choice.
Answer:
C.+- 80
Step-by-step explanation:
Day 1: Day 2: Comparison of Day 1 and Day 2: ____ < _____ or _____ > _______ Comparison of days with absolute value: ____ < _____ or _____ > _______
Answer:
Step-by-step explanation:
Hello!
Full text:
Here are the low temperatures (in degrees Fahrenheit) for one week in Montreal, Canada:
-3.5ºF, 5ºF, 1.5ºF, -0.5ºF, -2ºF, 2.5ºF, -4ºF
Compare the weather on two different days using an inequality. Then see if their comparisons change by finding the absolute value of each.
You have to choose two days at random and compare the values of temperature registered those days and compare them, for example:
Day 1: 3rd day: 1.5ºF
Day 2: 7nth day: -4ºF
Comparison of Day 1 and Day 2:
Remember:
"<" indicates that the value from the left is less than the value from the right.
">" indicates that the value from the left is greater than the value from the right.
The temperature registered on Day 1 is 1.5ºF and the temperature registered on Day 2 is -4ºF, as you notice the second temperature is negative and therefore is less than the first temperature:
1.5ºF > -4ºF
Comparison of days with absolute value:
To compare absolute values you have to disregard the sign and consider only the number of the temperature:
|Day 1|= |1.5ºF|
|Day 2|= |4ºF|
Then the registered temperature of Day 1 is less than the registered temperature on Day 2:
|1.5ºF| < |4ºF|
I hope this helps!
Answer:
-4ºF and 1.5ºF
Step-by-step explanation:
A swimming pool in the shape of a right rectangular prism measures 24 feet by 16 feet and is 4.5 feet deep across the entire pool. What is the volume of the swimming pool, in cubic feet?
72
108
324
1,728
Answer: D- 1,728
Step-by-step explanation: I did the quiz
Answer:
d
Step-by-step explanation:
The music teacher asked his class to vote for their favorite instrument and created a pie chart to display the results. There are
20 students in his class. Which statements are true? Check all that apply.
Popularity of Musical
Instruments
Horns
15%
Guitar
35%
Flute
20%
Piano
30%
Exactly half of the students voted for flute or guitar.
Three students voted for horns.
Less than one-third of the class voted for guitar.
Answer:
Three students voted for horns.true
Step-by-step explanation:thats all i know
Answer:
B, D, E, F
Step-by-step explanation:
Three students voted for horns.
Thirteen students voted for piano or guitar.
Twice as many students voted for piano as horns.
Eleven students voted for flute or guitar.
PLEASE HELP I"M BAD AT MATH Use the Distributive Property to simplify the expression.
13(n+4+7m) =
Answer:
13n + 52 + 91m
Step-by-step explanation:
you multiply 13 by every number in the parenthesis
13×n=13n
13×4=52
13×7m=91m
In △CDE , CD=10 , DE=7 , and m∠E=62∘ . What is m∠D to the nearest tenth of a degree?
We have been given that in △CDE , CD=10 , DE=7 , and m∠E=62 degrees. We are asked to find the measure of angle D.
We will use law of sines to solve our given problem.
[tex]\frac{a}{\sin(A)}=\frac{b}{\sin(B)}=\frac{c}{\sin(C)}[/tex], where, a, b and c are opposite sides to angles A, B and C respectively.
First of all we will find measure of angle C as:
[tex]\frac{7}{\sin(C)}=\frac{10}{\sin(62^{\circ})}[/tex]
[tex]\sin(C)=\frac{7\cdot \sin(62^{\circ})}{10}[/tex]
[tex]\sin(C)=\frac{7\cdot 0.882947592859}{10}[/tex]
[tex]\sin(C)=0.6180633150013[/tex]
Now we will use arcsin to solve for C as:
[tex]C=\sin^{-1}(0.6180633150013)[/tex]
[tex]C=38.174844995363^{\circ}[/tex]
[tex]C\approx 38.2^{\circ}[/tex]
Now we will use angle sum property to find measure of angle D.
[tex]\angle D+\angle C+\angle E=180^{\circ}[/tex]
[tex]\angle D+38.2^{\circ}+62^{\circ}=180^{\circ}[/tex]
[tex]\angle D+100.2^{\circ}=180^{\circ}[/tex]
[tex]\angle D+100.2^{\circ}-100.2^{\circ}=180^{\circ}-100.2^{\circ}[/tex]
[tex]\angle D=79.8^{\circ}[/tex]
Therefore, the measure of angle D is approximately [tex]79.8^{\circ}[/tex].
Measure of angle D will be 79.8°.
Sine rule in a triangle, Sine rule,[tex]\frac{c}{\text{sinC}}= \frac{d}{\text{sinD}}= \frac{e}{\text{sinE}}[/tex]
Here, c, d and e are the sides and C, D, E are the angles opposite
to these sides of the given triangle.
Given in the question,
In ΔCDE,
CD = 10 units
DE = 7 units
m∠E = 62°
By applying sine rule,
[tex]\frac{7}{\text{sinC}}= \frac{d}{\text{sinD}}= \frac{10}{\text{sin(62)}}[/tex]
[tex]\frac{7}{\text{sinC}}= \frac{10}{\text{sin(62)}}[/tex]
[tex]\text{sin(C)}=\frac{\text{sin(62)}\times 7}{10}[/tex]
[tex]=0.618063[/tex]
C = [tex]\text{sin}^{-1}(0.618063)[/tex]
C = 38.175°
≈ 38.2°
By triangle sum theorem of a triangle,
m∠C + m∠D + m∠E = 180°
38.2 + m∠D + 62° = 180°
m∠D = 79.8°
Therefore, measure of angle D will be 79.8°.
Learn more about the sine rule here,
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If 1m = 3.3 ft, how many cubic feet is the Kuroshio Sea tank? Volume is 9,450. Show your calculations!
Answer:
339604.65 cubic feet
Step-by-step explanation:
We are given that 1 m is equal to 3.3 ft.
1 m = 3.3 ft
This means that if we find the volume of a cube of 1 m, we have its volume as:
[tex]1^3 = 1 m^3[/tex]
In the same way, the volume of a cube of 3.3 ft (1 m) is:
[tex]3.3^3 = 35.937 ft^3[/tex]
This means that:
[tex]1m^3 = 35.937 ft^3[/tex]
The Kuroshio sea tank has volume of [tex]9450 m^3[/tex]. Its volume in cubic feet is therefore:
[tex]1m^3 = 35.937 ft^3\\\\9450 m^3 = 9450 * 35.937 = 339604.65 ft^3[/tex]
The volume of the tank is 339604.65 cubic feet.
A pilot flies 416 miles from Tampa to Atlanta 5 times in one week. She flies 721 miles from Atlanta to Dallas 8 times. What is the total number of miles she flies? ANSWERS!!!!
Answer:
416 x 5 = 2080
721 x 8 = 5768
5768 + 2080 = 7848. Have a great day.
Tara has a magnet collection from places she visited. She measures the length of the magnets to the nearest half inch and records the data in a line plot. Are more magnets longer than 2 1/2 inches or shorter than 2 1/2 inches? Explain
Answer:
there are more magnets that longer than 2 1/2
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Please have a look at the attached photo.
My answer:
From the photo, we can see that:
Length of the magnet:
1 inch there is 1 magnet[tex]1\frac{1}{2}[/tex] inches there are 2 magnets2 inches there are 3 magnets 3 inches there are 4 magnets [tex]3\frac{1}{2}[/tex] there is 1 magnet4 inches there are 2 magnets=> the total number of magnets that longer than 2 1/2 are: 4+1+2 = 7
=> the total number of magnets that shorter than 2 1/2 are: 1+2+3 = 6
Hence, there are more magnets that longer than 2 1/2
Hope it will find you well.
Answer:
Step-by-step explanation:
Find the length of the third side to the nearest tenth.
Answer:
9.8
Step-by-step explanation:
Answer:
9.8 that is the answer
Step-by-step explanation:
Tony has a bag of 10 quarters, 12 nickels, and 8 dimes. Tony selects a coin, records it, then replaces it back in the bag before choosing again.
Find the probability he selects a quarter first, dime second, and nickel
third. Write your answer in a fraction in simplest form.
Please help me!!
Answer:
8/225
Step-by-step explanation:
The probability of each event would be the number of the type of currency that you have specified divided by the total number of coins, in this case the total amount of coins does not change as the coin returns to the bag.
The total number of coins is: 10 + 12 + 8 = 30
The probability of finding a quarter is:
10/30
The probability of finding dime is:
8/30
The probability of finding nickel is:
12/30
The final probability then is:
(10/30) * (8/30) * (12/30) = 960/27000
If we simplify this, dividing both numbers by 120, we are left with:
8/225