Answer:
37 Degrees
Step-by-step explanation:
Manipulate the triangle so angle A measures approximately 92°.
Manipulate the triangle so angle B measures approximately 51°.
Notice the straight line p.
What must the measurement of angle C be for p to remain a straight line?
Angle C should measure approximately 37 Degrees
There is angle C should measure approximately 37° for line p to remain a straight line.
What are the vertical angles?When two lines intersect at a location, vertical angles are generated. They are always equal to each other.
As we know that a straight line, the sum of the angles is equal to 180°.
So, when angle A measures approximately 92° and angle B measures approximately 51°,
Then, the measurement of angle C must be 180° - 92° - 51° = 37° in order to keep line p a straight line.
Thus, angle C should measure approximately 37° for line p to remain a straight line.
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what is the surface area of the cylinder? Use 3.14 for pi and round your answer to the nearest hundredth
Answer:
954.56 in²
Step-by-step explanation:
A = 2×π·r² + 2·π·r·h
= 2×3.14×64 + 2×3.14×8·11
= 401.92 + 552.64
= 954.56 in²
What is the nth term rule of the linear sequence below? 15 , 7 , − 1 , − 9 , − 17 , . . .
The nth term rule of the given linear sequence is -8n + 23. It follows the pattern of subtracting 8 from the previous term. So, each term in the sequence is obtained by -8n + 23.
Explanation:The nth term rule of the given linear sequence is -8n + 23.
To find the nth term rule, we can observe that each term is obtained by subtracting 8 from the previous term. Therefore, the sequence follows the pattern:
1515 - 8 = 77 - 8 = -1-1 - 8 = -9-9 - 8 = -17and so on
So, we can generalize the sequence as -8n + 23, where n represents the position of the term in the sequence.
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Chrissy went to the grocery store Thursday night and spent $22.54. She paid
$3.22 for three fruit bars. The remainder of the food was for a party she
planned to give on Friday night. How much did she spend on food for the party?
Answer:
19.32
Step-by-step explanation:
The amount Chrissy spent on food for the party is determined by subtracting the cost of the fruit bars, $3.22, from her total amount spent, $22.54. This leads to a result of $19.32.
Explanation:The subject of this question is Mathematics, specifically subtraction. To figure out how much Chrissy spent on food for the party, you have to deduct the cost of the three fruit bars from the total amount she spent that day.
Given:
Total amount spent by Chrissy = $22.54
Cost of three fruit bars = $3.22
By subtracting the amount she spent on the fruit bars from the total amount:
Amount spent on the party = Total amount spent - Cost of the fruit bars
Thus, Amount spent for the party = $22.54 - $3.22 = $19.32
Therefore, Chrissy spent $19.32 on food for the party.
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Often in statistics research, a population is too large to collect data on. A sampling distribution of a statistic is created by taking repeated samples of a certain size. But the most accurate information will be gained by taking every possible sample of a certain size.
A population of size 4 has 6 possible samples of size 2. Use this fact to explain why taking every sample of a certain size is not done for a population too large to analyze.
Final answer:
For large populations, taking every possible sample of a certain size becomes unfeasible due to the rapidly increasing number of combinations. Hence, random sampling methods are used to capture the population characteristics in a practical way, with larger samples providing more reliable statistics.
Explanation:
When a population size is large, it becomes impractical to take every sample of a certain size due to the combinatorial explosion in the number of potential samples. For instance, with a population of size 4, there are 6 possible samples of size 2, which is manageable. However, as the population size increases, the number of possible samples grows astronomically, making it unfeasible to examine them all. This is why sampling is a vital technique.
Random sampling methods like simple random sampling, stratified sampling, cluster sampling, and systematic sampling are employed to ensure each individual has an equal chance of being selected, which helps in capturing the characteristics of the entire population in the sample. Larger sample sizes are generally preferred as they reduce sampling variability and provide more reliable statistics.
The three inside angles (a,b and c) of a right-angled triangle are in the ratio 7:18:11
the smallest angle is 35 degrees
workout angles a,b and c
Answer:
The three angles of the right-angled triangle are
a = 35°
b = 90°
c = 55°
Step-by-step explanation:
We are given the ratio of angles of a right-angled triangle
a:b:c = 7:18:11
Recall that the sum of interior angles in a right-angled triangle is always 180°
7x + 18x + 11x = 180
36x = 180
x = 180/36
x = 5
a:b:c = 7x:18x:11x
a:b:c = 7(5):18(5):11(5)
a:b:c = 35:90:55
a = 35°
b = 90°
c = 55°
Alternatively:
We are given that the smallest angle is 35°
a = 7x = 35
x = 35/7
x = 5
b = 18x
b = 18(5)
b = 90°
c = 11x
c = 11(5)
c = 55°
Answer:
Step-by-step explanation:
solution
sum of angles on a triangle=180
total ratio=7+18+11=36
for angle a: (7/36)x180=35°
for angle c: (11/36)x180=55°
for angle b: (18/36)x180=90°
therefore: the 3 angles are 35°, 90°, 55°.
Help me pleaseeeee !
Answer:
The 1st one, the 3rd one, and the 4th one.
Step-by-step explanation:
What is the surface area of the cylinder?
Use a = 3.14 and round to the nearest tenth, if needed.
d= 4 cm
8.2 cm
OA) 32.8 cm2
OB) 128.1 cm2
OC) 103 cm2
OD) 422.3 cm?
[tex] \qquad \qquad\large\rm{Together \: We \: Go \: Far!} \\ \qquad \qquad \sf \small{\red{♡}\:Swifties\:\red{♡}}[/tex]
Question :-
A cylinder has a diameter of 4 cm and a height of 8.2 cm. What is the surface area of the cylinder?Answer :-
The surface area of the cylinder is 128.112 cm². Thus, the 2nd option, B makes it as the correct answer.[tex] \rule{180pt}{3pt}[/tex]
Diagram :-
[tex]\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{2 \: cm}}\put(9,17.5){\sf{8.2 \: cm}}\end{picture}[/tex]
Solution :-
As per the provided information in the given question, we have been given that the diameter of the cylinder is 4 cm. Thus, the radius of the cylinder is 2 cm. The height of the cylinder is 8.2 cm. We have been asked to find or calculate the surface area of the cylinder.
To calculate the surface area of the cylinder, we will use the formula below :-
[tex]\bigstar \:\:\:\boxed{\sf{\:\:Surface \: Area_{(Cylinder)} = 2\pi r^2 + 2\pi rh \:\:}}[/tex]
Substitute the given values into the above formula and solve for surface area:
[tex]\sf:\implies Surface \: Area_{(Cylinder)} = 2\pi r^2 + 2\pi rh[/tex]
[tex]\sf:\implies Surface \: Area_{(Cylinder)} = (2)(3.14)(2 \: cm)^2 + (2)(3.14)(2 \: cm)(8.2\:cm) [/tex]
[tex]\sf:\implies Surface \: Area_{(Cylinder)} = (2)(3.14)(4 \: cm^2) + (2)(3.14)(16.4\:cm^2) [/tex]
[tex]\sf:\implies Surface \: Area_{(Cylinder)} = (2)(12.56 \: cm^2) + (2)(51.496 \: cm^2) [/tex]
[tex]\sf:\implies Surface \: Area_{(Cylinder)} = 25.12 \: cm^2 + 102.992 \: cm^2 [/tex]
[tex]\sf:\implies \bf{Surface \: Area_{(Cylinder)} = 128.112 \: cm^2}[/tex]
Therefore :-
The surface area of the cylinder is 128.112 cm². Thus, the 2nd option, B makes it as the correct answer.[tex]\\[/tex]
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Gas prices have really decreased in the past month. At the beginning of March I paid $2.15 per gallon. I just recently filled my tank and it was $1.56. What was the percent of decrease to the nearest tenths place?
Answer: 27.44 % decrease in gas prices
Step-by-step explanation: First subtract 2.15 by 1.56 to get 0.59
then divide it by the starting value which is 2.15
0.59 divided by 2.15 is approximately 0.2744
then multiply times 100 to get 27.44 %
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What is the slope of the line?
y+3=-4(x+7)
We don't really have to put this in slope intercept form; it would clearly end up as
y = -4x + something
so we know the slope is -4.
Answer: C) -4
Chocolate sells for $4 a pound is mixed with nuts for 2.50 a pound. Together, they form a chocolate nut candy which sells for $3.50 per pound. How much of each are used to make 30 pounds of the mixture?
To solve this problem, we can set up a system of equations and use elimination to find the values of x and y. After solving, we find that 40 pounds of chocolate are used to make the 30-pound mixture.
Explanation:To solve this problem, we can set up a system of equations. Let's call the amount of chocolate used x pounds and the amount of nuts used y pounds. We know that the total amount of candy is 30 pounds, so we can write the equation x + y = 30. We also know that the cost per pound of chocolate is $4 and the cost per pound of nuts is $2.50, and the cost per pound of the candy is $3.50, so we can write the equation 4x + 2.50y = 3.50(30).
To solve this system of equations, we can use substitution or elimination. Let's use elimination. Multiply the first equation by 2.50 to match the coefficients of y. We get 2.50x + 2.50y = 75. Subtract this equation from the second equation: (4x + 2.50y) - (2.50x + 2.50y) = (3.50(30)) - 75. Simplify the equation to get 1.5x = 60. Divide both sides by 1.5 to find that x = 40. Now substitute this value of x into the first equation to find y. 40 + y = 30, so y = -10.
Since we can't have a negative amount of nuts, we know that our solution for y is extraneous. Therefore, 40 pounds of chocolate are used to make the 30-pound mixture.
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12 + 3y − 8 − 7y = ?
Answer: -4y + 4
Step-by-step explanation: 12 + 3y - 8 - 7y
12 + 3y + -8 + -7y
(3y + -7y) + (12 + -8)
= -4y + 4
What is a reasonable constraint for the model -3.2 2.62 -3.2 0
Answer:
The answer to your question is C. 3.2
Step-by-step explanation:
| 3.2 |
lines | | mean absolute value, and absolute value means the distance of a number to the origin (0,0) it does not matter the sign.
Then to answer your question just do not write the | | and consider it as a positive sign.
If your question had a negative number ex. | -3.2 | the answer would also be 3.2.
Step-by-step explanation:
A rectangle has two pairs of sides of equal length.Explain how you can find the unknown length of two sides when the length of one side is 4 units, and the perimeter is 14 units.
Final answer:
To find the unknown side lengths of a rectangle with a perimeter of 14 units and one known side length of 4 units, use the perimeter formula, resulting in the unknown sides being 3 units each.
Explanation:
To find the unknown lengths of the sides of a rectangle when one side length is 4 units and the perimeter is 14 units, first understand that the perimeter of a rectangle is calculated using the formula 2(length + width). Since the perimeter is 14 units, we can set up the equation 2(l + 4) = 14, where l represents the unknown length.
Dividing both sides by 2, we get l + 4 = 7. Subtracting 4 from both sides yields l = 3 units. Therefore, the lengths of the two unknown sides are 3 units each, as a rectangle has two pairs of sides of equal length, indicating the width in this case is 3 units.
Is x greater than,less than,or equal to 37
Answer:
X is equal to 37
Step-by-step explanation:
The angle between lines a and b in image is 37 degrees.
The image shows a line segment with a label `37` above it and two arrows pointing in opposite directions. The arrows represent the two lines, a and b, which intersect at the midpoint of the line segment. The angle between the two lines is marked with an arc.
To find the angle between two lines, we can use the following formula:
tan(θ) = (m2 - m1) / (1 + m1m2)
where: θ is the angle between the two lines
m1 and m2 are the slopes of the two lines
In this case, the slopes of the two lines are equal, so the angle between them is 90 degrees. Therefore, the answer is 37 degrees.
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A rectangle has a height of 6k^3 and a width of 2k^2 + 4K +5 what is the area
Answer:
The answer is 12k^5+24k^4+30k^3.
Step-by-step explanation:
You want to multiply the height by width to find area. Multiply 6k^3 times 2k^2+4k+5. 6k^3(2k^2+4k+5)= 12k^5+24k^4+30k^3.
Final answer:
The area of a rectangle with a height of 6k³ and a width of 2k² + 4k + 5 is calculated by multiplying the height by the width, resulting in 12k⁵ + 24k⁴ + 30k³.
Explanation:
To calculate the area of a rectangle, you multiply the height by the width. The given height of the rectangle is 6k³ and the width is 2k² + 4k + 5. Applying the formula for the area of a rectangle, we have:
A = height × width
A = 6k³ × (2k² + 4k + 5)
To find the area, distribute the height into each term of the width:
A = (6k³ × 2k²) + (6k³ × 4k) + (6k³ × 5)
A = 12k⁵ + 24k⁴ + 30k³
The area of the rectangle is 12k⁵ + 24k⁴ + 30k³.
Big Al's Snack Stand sells burgers and sandwiches. Big Al puts three tomato slices on each burger and four tomato slices on each sandwich. If he sells b burgers and s sandwiches, which expression represents the number of tomato slices that he will use?
A.
3b × 4s
B.
3s + 4b
C.
3b + 4s
D.
(b + 3) × (s + 4)
Answer:
Step-by-step explanation:
The answer is A, just got it wrong because I selected b. Answer is A.
is (3,-3) a solution of y≤−5x+3y?
Answer:
No
Step-by-step explanation:
You want to know if (x, y) = (3, -3) is a solution to y ≤ -5x +3y.
SubstitutionPut the value where the variables are and see if the statement is true:
-3 ≤ -5(3) +3(-3)
-3 ≤ -15 -9
-3 ≤ -24 . . . . . . False. Therefore, (3, -3) is NOT a solution.
__
Additional comment
We can rearrange the inequality to make comparison easier:
5x ≤ 2y . . . . . . . add 5x-y to both sides
Since x is positive and y is negative, this cannot possibly be true.
Which are steps in the process of completing the square used to solve the equation 3 – 4x = 5x2 – 14x? Check all that apply
Answer:
B)3 = 5x2 – 10x
D)8 = 5(x2 – 2x + 1)
G) = (x – 1)2
Step-by-step explanation:
Given quadratic : 3 - 4x = 5x2 - 14x
We need to apply completing the square to solve the equation.
First step is to get rid 4x from left side.
We can add 4x on right side to get rid from left side.
3 = 5x^2-14x+4x
On simplifying this step, we get
3 = 5x^2-10x
Now, we need to factor out 5 from right side to get the coefficient of x^2 as 1.
We get,
3 = 5(x^2-2x)
Now, coefficient of x is -2. So, we need to add half of the square of -2.
-2/2 = -1.
And square of -1 is 1.
Therefore, adding 1 inside parenthesis and 5×1 = 5 on left side, we get
3+5 = 5(x^2 -2x+1)
8 = 5(x^2 -2x+1)
Let us find the perfect square of (x^2 -2x+1).
(x^2 -2x+1) = (x-1)^2
Therefore, we get
8 = 5(x-1)^2.
So, the above highlighted are steps in the process of completing the square.
Answer:
2nd 4th and 7th on edg
Step-by-step explanation:
Identify three ways that ocean plants cycle carbon
2. Carolyn drew a rhombus ABCD. Fill in the blanks.
BC
BC
AD
and AB
AB
DC
and
is parallel to, is equal to
is not parallel to, is not equal to
is parallel to, is not equal to
is not parallel to, is equal to
Answer:
A. Line AB is parallel to, is equal to Line DC
Step-by-step explanation:
A rhombus is a quadrilateral whose four sides have the same length. It is similar to a square in the sense that it has all its four sides having equal length. It is basically a square which is tilted at an angle. It is also called an equilateral quadrilateral.
Line AB is equivalent to Line DC & both lines are parallel one to another; the same is the relationship between Line BC & Line AD (You can check the attached image for more clarity)
Hence, option A is the answer - Lines AB & DC are parallel & equal to one another
Answer:
is parallel to, is equal to
Step-by-step explanation:
A rhombus has two sets of parallel sides. All four sides are equal in length.
One number is 8 times another number. The numbers are both positive and have a difference of 70. Find the numbers.
Which of the following equations could be used to solve the problem?
A. x- 8x= 70
B. 8x - x= 70
C. x-8=70
Answer: A. x- 8x= 70
Step-by-step explanation: if x equals 10 then subsitute x for 10 in the equation this gets you 8(10) - 10 = 80
and 80 - 10 = 70 so
8(10) = 80
so 80 - 10 = 70
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There are four styles of a notebook available at a store: a plain black one, a glittery silver one, a shiny gold one, and a reflective turquoise one. The store looks at samples of four purchases in a row of these notebooks, with the following results:
{black, gold, gold, silver}
{turquoise, black, silver, gold}
{gold, silver, turquoise, turquoise}
{silver, silver, silver, turquoise}
{silver, black, gold, gold}
{gold, turquoise, black, black}
Using the mean of the sampling distribution of the proportion for each color, which notebook(s) is likely the most popular?
The black notebook.
The gold notebook.
The silver notebook.
The turquoise notebook.
Both the silver and gold notebooks.
Both the black and turquoise notebooks.
Answer:
gold and silver
Step-by-step explanation:
Use the diagram, which is not drawn to scale, to decide which proportions are true.
Answer:
a.
Step-by-step explanation:
I and IV only, are true proportions
complications
A. a difficult situation a character faces to solve a problem
B. the action of the story from the opening to the resolution
D. what or who tries to keep the main character from his goal
Jesse and Amir were assigned the same book to read for class. Jesse started
reading on Saturday, and he is reading 30 pages a day. Amir didn't start until
Sunday, but he is reading 35 pages a day.
How many days will it take Amir to catch up to Jesse, and how many pages will
they each have read?
Let x represent the number of days Amir has been reading
Fill in the blanks to solve this problem as a system of equations.
304 S QUESTIONS
The system of equations that models this situation is
Select
Select
Using substitution to solve this system, the equation you will solve is
Select
The solution to the system of equations is
Select..
V
it will take emir
Select
days to caton up to Jesse
At thatt me each boy winave read
Select
pages
Answer:
he needs to catch up by 5 pages
Step-by-step explanation:
Answer:
1. y = 35x
2. y = 30x + 1
3. y = 35x
y = 30 x + 1
4. Its more convenient to substitute y because It's easier.
35x = 30(x + 1)
5. 35x = 30x + 1
35x = 30x + 30
35x -30x = 30
5x = 30
x = 6 (30/5 = 6)
35 x 6 = 210 (y)
6. Both people have read 210 pages and it takes amir 6 days to catch up.
Step-by-step explanation:
The solid figure shown here can be formed from which net?
Answer:
B
Step-by-step explanation:
If you unfold it you get shape B
Answer:
B.
Step-by-step explanation:
Can someone help please???
Answer:
Length: x + 5
Step-by-step explanation:
x² + 8x + 15 = length × width
x² + 8x + 15
x² + 5x + 3x + 15
x(x + 5) + 3(x + 5)
(x + 5)(x + 3)
Width: (x + 3)
Length: (x + 5)
Factor the following polynomial by finding a GCF.
18w2 - 27w
Answer:
9w(2w+3)
Step-by-step explanation:
18 w^2 = =2*9*w*w=2*3*3*w*w
27w = 3*9*w=3*3*3*w
We can factor out 3*3*w = 9w
3*3*w(2*w+3)
9w(2w+3)
Answer:
9w(2w+3)
Step-by-step explanation:
just trust
(8c2-2c) + (2c2+3c) in standard form
Answer:
Step-by-step explanation:
hello :
(8c²-2c) + (2c²+3c)= (8c²+3c²)+(3c-2c) =11c²+c .....standard form
What is the solution to the system of equations?
3 x minus 4 y = 16. 2 x + 3 y = 5.
(–4, 1)
(4, –1)
(–4, –1)
(4, 1)
Answer:
(4, -1)
Step-by-step explanation:
3 x minus 4 y = 16
2 x + 3 y = 5
3x - 4y = 16
2x + 3y = 5
x = 2.5 - 1.5y
3(2.5 - 1.5y) - 4y = 16
7.5 - 4.5y - 4y = 16
-8.5 = 8.5y
y = -1
x = 2.5 - 1.5(-1)
x = 2.5 + 1.5
x = 4
(4, -1)
The solution to the system of equations 3x - 4y = 16 and 2x + 3y = 5
is (4, - 1).
What are the three types of solutions of a linear system of equations?If a system of equations only contains two linear equations with two variables, the system's equation can be graphed, the graph will have two straight lines, and the intersection point(s) of those lines will be the system's solution.
There are only three matching forms of solution for a given system of equations because there are only three different ways that two straight lines in the plane can graph.
Given, A system of linear equations 3x - 4y = 16 and 2x + 3y = 5.
Multiplying equation (i) by 2 and equation (ii) by 3 we have,
6x - 8y = 32 and 6x + 9y = 15.
Subtracting equation (iii) from (iv) we have,
9y + 8y = 15 - 32.
17y = - 17.
y = -1 and, 6x - 8(-1) = 32 ⇒ 6x + 8 = 32 ⇒ 6x = 24 ⇒ x = 4.
So, The solution to the system of equations is (4, - 1).
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