Answer:
c = 27.9
B = 62.13°
C = 89.90°
Step-by-step explanation:
We are given the following values:
A= 121.59°, a = 27.9 cm, b = 52.6 cm
a) Finding side c
We would use Pythagoras Theorem
c² = a² + b²
c = √(a² + b²)
c = √(27.9² + 52.6²)
c = 59.54cm
≈ Approximately = 59.5cm
b) Finding B
We would be using Cosine rule to find Angle B
Cos B = a² + b² - c²/2ab
B = arc cos ( a² + c² - b²/2ac)
B = arc cos( 27.9² + 59.5² - 52.6²/ 2 × 27.9 × 59.5)
B = 62.13268°
B = 62.13°
c) Finding C
We would be using Cosine rule to find Angle C
Cos C = a² + b² - c²/2ab
C = arc cos ( a² + b² - c²/2ab)
C = arc cos( 27.9² + 52.6² - 59.5²/ 2 × 27.9 × 52.6)
C = 89.9°
The dot plots below show the scores for a group of students for two rounds of a quiz:
Round 1
2
4
5
3
Score
Round 2
: :
..
+
1
2
4
5
3
Score
Which of the following inferences can be made using the dot plots?
O The range of round 2 is greater than the round 1 range,
O Round 2 scores are higher than round 1 scores
O Round 1 scores are lower than round 2 scores
There is no overlap between the data.
if 2x+1/4 = 12/20 what is the value of x?
Answer:
7/10 or 0.7
Step-by-step explanation:
Step 1: Cross-multiply.
2x+1 / 4 = 12 /20
(2x+1)*(20)=(12)*(4)
40x+20=48
Step 2: Subtract 20 from both sides.
40x+20−20=48−20
40x=28
Step 3: Divide both sides by 40.
40x /40 = 28 /40
x= 7 /10
Answer:
x= 7 /10
7/10 = 0.7
If you're good at exact values of trigonometry please help meeeee
Find the exact value of x and hence find the exact area with full working out
Answer:
x = 6 + 16 sqrt(3) / 3 or equivalently 6 + 16/sqrt(3)
Step-by-step explanation:
Have enough data to solve only for x in the diagram.
The lengths that make up the base are respectively from left to right
x1 = 4 cot(60) = 4 (3/sqrt(3)) = 4sqrt(3) m
x2 = 6 m
x3 = 4 cot(30) = 4 ( sqrt(3) / 3 ) = 4/ sqrt(3) = (4/3)sqrt(3) m
Altogether
Base, x = 4sqrt(3)/3 + 6 + 2 sqrt(3)
= 6 + 16 sqrt(3) / 3 or equivalently 6 + 16/sqrt(3)
Answer:
Step-by-step explanation:
First triangle: angles are in the ratio = 30 : 60 : 90
So, the ratio of sides = a : a√3 : 2a
a√3 = 4 m
a * 1.732 = 4
a = 4/1.732
a = 2.31
Now, in the second triangle, angles are in the ratio = 30 : 60 : 90
So, the ratio of sides = b : b√3 : 2b
b = 4 m
b√3 = 4 * 1.732 = 6.928 m
x = a + 6 + b
x = 2.31 + 6 + 6.928
x = 15.23 m
Which of the following is a like radical to 3 square root 7x
Answer:
A: 4(\root(3)(7x))
Step-by-step explanation:
Just took the test answer above is wrong this one is right.
.swag.
Answer: A
Step-by-step explanation: tis A. edge 2023 :)
The graph for the equation y = x minus 4 is shown below. On a coordinate plane, a line goes through (0, negative 4) and (4, 0). Which equation, when graphed with the given equation, will form a system that has an infinite number of solutions? y minus x = negative 4 y minus x = negative 2
Answer:
The correct option is:
y - x = -4
Step-by-step explanation:
The graphed equation is:
y = x - 4
The equation which will have infinite number of solution should overlap the graphed equation at infinity points.
It is only possible when both the equations are exactly same.
Consider the line given:
y - x = -4
Rearrange the equation:
y = x - 4
Thus, it is the same as the first equation.
Verify for point (0,-4)
y - x = -4
-4 - 0 = -4
-4 = -4
Proved.
Verify for point (4,0)
y - x = -4
0 - 4 = -4
0 = -4+4
0 = 0
Proved
The correct option is (1). [tex]y-x= -4[/tex]
Given equation,
[tex]y = x - 4[/tex]
the line, [tex]y = x - 4[/tex] passes through the points (0, -4) and (4, 0).
Comparing with the general equation of a straight line,
[tex]y = mx + c[/tex] , where [tex]m[/tex] is the slope and [tex]c[/tex] is the y-intercept.
The slope of the equation [tex]y = x - 4[/tex] is 1 and its The y-intercept is -4.
We know that,
Two equations will have an infinite number of solutions when they are on the same line, that is having the same slope and intercept.
Now we check for the slope and the intercept of the given options.
Option (1) [tex]y - x = -4[/tex]
[tex]y = x - 4[/tex]
Here the slope is 1 and y intercept is -4, which is the same as the given equation and both equations will have an infinite number of solutions.
Now option (2).
[tex]y - x = -2[/tex]
[tex]y=x-2[/tex]
The slope is 1 and y intercept is -2
The slope is the same as the given equation but the intercept is different giving no solution.
Hence the correct option is (1). [tex]y-x= -4[/tex]
For more details follow the link:
https://brainly.com/question/11897796
solve for x -7x+1≥22 or -10x+41≥81
Answer:
The answer to the union of the two sets is: [tex]x\leq -3[/tex]
Step-by-step explanation:
Since they are asking for an "OR" condition, we need to find the set of solutions for each inequality, and then use the union of those two sets.
First inequality:
[tex]-7x+1\geq 22\\1-22\geq 7x\\-21\geq 7x\\-3\geq x\\x\leq -3[/tex]
so this is the set of all real numbers smaller than or equal to -3 (visualize the numbers on the number line to the left of -3 and including -3 itself)
Second inequality:
[tex]-10x+41\geq 81\\41-81\geq 10x\\-40\geq 10x\\-4\geq x\\x\leq -4[/tex]
So, this sets consists of all real numbers smaller than or equal to -4 (visualize the numbers on the number line to the left of -4 and including -4 itself.
Then, when we do the union of these two sets, we get:
[tex]x\leq -3[/tex]
since the number -4 is located to the left of -3 on the number line, so the set defined by the second inequality is in fact a subset of the one defined by the first inequality.
how to convert m into mm
Answer:
Multiply value in mm by 1000
Step-by-step explanation:
For example, 3m = (3 * 1000)mm
= 3000mm
Answer:
multiply by 1000
Step-by-step explanation:
1m = 1000mm
If i need convert meter en mikimeters
i multiply meter by 1000, example:
7 meters:
7 * 1000 = 7000 milimeters
another example:
4.75m = 4.75*1000 = 4750 milimeters
The tee for the sixth hole on a golf course is 305 yards from the tee. On that hole, Marsha hooked her ball to the left, as sketched below. Find the distance between Marsha’s ball and the hole to the nearest tenth of a yard.
Answer:
The answer is "101.37 yd"
Step-by-step explanation:
In the given question an attachment file is missing. so, we attached the file and calculates its value:
Use formula:
[tex]c^2 = a^2 + b^2 - 2\times a \times b\times \cos C[/tex]
In the above-given equation we assume c is the third side:
[tex]c^2 = 305^2 + 255^2 - 2*305*255*cos17\\c^2= 93,025+65,025-155,550(0.95)\\c^2= 158,050-147,772.5\\c^2= 10,277.5[/tex]
c = 101.37 yd
Can someone please help me with this question
Answer:
54
Step-by-step explanation:
Martin competed in a speed skating race. The surface of the ice rink was at
-5°C for the race. The temperature outside was 5°C. How much warmer was
the temperature outside than the surface of the ice?
From -5 to 0 is 5 degrees and from 0 to 5 is 5 degrees.
5 + 5 = 10
It is 10 degrees warmer outside.
Answer:
-5 to 0 is 5 degrees and 0 to 5 is 5 degrees.
5 + 5 = 10
Step-by-step explanation:
have a nice day :)
Which data set could be represented by the box plot shown below?
Answer:
I think the answer is B
Step-by-step explanation:
Answer: B
Step-by-step explanation:
Ice cream bars come in a container that cost $3.12 for 6. What is the unit rate for the ice cream bars
Answer:
$1.92
Step-by-step explanation:
The equation would be 6/3.12
that equals 1.92.
Two ants, Andy and Ashley, went to visit their friend. Andy crawled the whole way, but Ashley spent half of the way riding on a caterpillar, which was two times slower than crawling. Ashley spent the second half of the journey riding on a grasshopper, which was 5 times faster than crawling. Which ant got to their friend's house first, if they left at the same time?
Answer:
Andy
Step-by-step explanation:
Let's say that x is Andy's speed, and d is the distance he traveled.
The time it takes Andy to reach his friend is d/x.
The time it takes Ashley to travel the first half is (d/2)/(x/2) = d/x.
The time it takes Ashley to travel the second half is (d/2)/(5x) = d/(10x).
The total time is d/x + d/(10x) = 1.1 d/x.
It takes Ashley 1.1 times longer to reach the friend. Andy gets there first.
Type the correct answer in the box. Write your answer as a fraction, using / for the fraction bar.
Distinct four-letter sequences are formed by picking 4 letter tiles from a bag containing 11 different alphabet tiles. Note that the order in which the letters are picked matters.
The probability of getting a particular four-letter sequence is .
The probability of getting a particular four letter sequence is [tex]\frac{1}{7920}[/tex].
What is permutation?
A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters.
Formula for permutation[tex]P(n, k) =\frac{n!}{(n-k)!}[/tex]
Where:
n – the total number of elements in a set
k – the number of selected elements arranged in a specific order
! – factorial
What is probability?Probability is the measure of the likelihood of an event to occur.
Formula for probabilityP(E) = number of favorable outcomes/ total number of outcomes
According to given question
We have
Total number of tiles = 11
And we have to form distinct four letter sequences by picking 4 letter tiles a bag containing 11 different alphabet.
⇒ n = 11 and k = 4
So, the total number of distinct four letter sequences formed by picking 4 tiles from a bag = [tex]11P_{4}[/tex]
⇒ total number of distinct four letters = [tex]\frac{11!}{(11-4)!} = 7920[/tex]
Since, we have to get only one particular sequence.
⇒ Total number of favorable outcomes = 1
And there are total number of four teller sequence = 7920
⇒ Total number of outcomes = 7920
Therefore, the probability of getting a particular four letter sequence = [tex]\frac{1}{7920}[/tex]
Learn more about probability and permutation here:
https://brainly.com/question/14767366
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Lincy is standing 20 feet from the circular wall of an above ground swimming pool and 49 feet from a point of tangency. Find the radius of the pool.
Answer:
the radius of the pool is 50.025 feet
Step-by-step explanation:
From the information given:
We can have a schematic view of a diagrammatic illustration in our mind where the distance of the pool to Lincy is (20 + r ) and the distance to the tangent is 49.
So; by using pythagoras theorem, since the radius meets the tangent at a right angle; we have:
[tex]r^2 + 49^2 = ( r + 20 )^2[/tex]
[tex]r^2 +2401 = r^2 + 40r + 400[/tex]
[tex]2401 = 40r + 400[/tex]
[tex]2401- 400 = 40r[/tex]
2001 = 40 r
r = 2001/40
r = 50.025 feet
Mike bought four new baseball trading cards to add to his collection. The next
day his dog ate half of his collection. There are now only twenty-nine cards left.
How many cards did Mike start with ?
Answer:
58 Cards
Step-by-step explanation:
Which of the following equations have exactly one solution? Choose all answers that apply:
A -5x+12=-5x-12−5x+12=−5x−12
B -5x+12=5x+12−5x+12=5x+12
C -5x+12=-12x-12−5x+12=−12x−12
D -5x+12=5x-5−5x+12=5x−5
Help plz
Answer:
C
Step-by-step explanation:
Answer:
Step-by-step explanation:
a food truck did a daily survey of customers to find their food preferences. The data is partially entered in the frequency table. complete the table to analyze the data and anser the questions
Answer:
That right, no picture, no answer
Step-by-step explanation:
fill in the blank with <,>,or,= to make the statement true -1 1/2 _ -1/4
Answer:
<
Step-by-step explanation:
Since it is a negative value, whatever fraction is closer to 0 will be greater.
15 poinstsPretend your class is starting a box-making business. Every student needs to design a box with a volume of 3600 cubic inches. Look at the dimensions of the box that Karen designed: My box has a length of 12 inches, a width of 50 inches, and a height of 6 inches: 12 in • 50 in • 6 in = 3600 in3
Bro its so confusing
⚠️PLEASE HURRY!!⚠️
Which expression is equivalent to the area of square A, in square inches?
Answer:
10² + 24²
Step-by-step explanation:
The diagram illustrates Pythagoras' identity.
The square on the hypotenuse of a right triangle is equal t o the sum of the squares on the other 2 sides.
A is the square on the hypotenuse, thus
A² = 10² + 24²
Answer:
[tex] {10}^{2} + {24}^{2} [/tex]Step-by-step explanation:
Let side of the square be a
Now, let's find:
Hypotenuse ( h ) = a
Perpendicular ( p ) = 10
Base ( b ) = 24
Applying Pythagoras theorem in the right triangle formed by the square:
[tex] {h}^{2} = {p}^{2} + {b}^{2} [/tex]
plug the values
[tex] {a}^{2} = {10}^{2} + {24}^{2} [/tex]
Hope this helps..
Best regards!!
HELP ME PLZ I NEED HELP
Answer: Tossing two coins at once
Step-by-step explanation:
As during flipping two coins we have possibilities one is HH,HT,TH,TT
Answer:
Tossing two coins at once
Step-by-step explanation:
The monthly profit for a small company that makes long-sleeve T-shirts depends on the price per shirt. If the price is too high, sales will drop. If the price is too low, the revenue brought in may not cover the cost to produce the shirts. After months of data collected, the sales te determines that the monthly profit is approximated by f(p)= -50p^2+1700p-12000, where p is the price per shirt and f(p) is the monthly profit on that price. A) Find the price that generates the maximum profit B) Find the maximum profit C) Find the price(s) that would enable the company to break even.
Answer:
Below
Step-by-step explanation:
You could just graph the equation for the answers....
Here is algebraic method
for Quadratic Equation - 50p^2 +1700p - 12000
the max profit occurs at p = - b/2a = - 1700 / (2* -50) = 17 dollars
A ) 17 dollars
B) use p =17 in the equation to find profit = 2450 dollars
C) Set the equation = 0 and solve for p
0 = -50p^2+1700p - 12 000
Use Quadratic Formula with a = -50 b = 1700 c = 12000
to find price = 40 dollars
What is the fractional form of?
Answer:
C.
Step-by-step explanation:
You can memorize the patterns of fractions of ninths.
0/9 = 0
1/9 = 0.1111111111111111111111
2/9 = 0.222222222222
3/9 = 0.3333333333333
4/9 = 0.4444444444444
5/9 = 0.5555555555556
6/9 = 0.6666666666667
7/9 = 0.777777777777778
8/9 = 0.88888888888889
9/9 = 1
Hope this helps!
Answer:
C. 8/9
Step-by-step explanation:
Well .8 repeating is not 8/10.
Though many would choose that.
If you do 8 ÷ 10 you get .8 not .8 repeating meaning 8/10 is not correct.
To get .8 repeating we would divide 8 by 9.
Because all natural numbers below 9 can be divided by 9 to create a .repeating itself.
For example 8 ÷ 9 = .8 repeating,
4÷9 = .4 repeating.
Thus,
C. is the correct answer.
Hope this helps :)
if (x + y) + (2(x + y) + 3) = 9, what is x + y??
A. 3-1
B. -3 + 1
c. -3-1
D 3 + 1
E. 9-31
Answer:
[tex]\boxed{\mathrm{Option \ A}}[/tex]
Step-by-step explanation:
=> [tex](x+y)+(2(x+y)+3)=9[/tex]
Solving the bracket
=> [tex]x+y+2x+2y+3 = 9[/tex]
=> [tex]3x+3y = 9-3[/tex]
=> [tex]3(x+y) = 6[/tex]
Dividing both sides by 3
=> [tex]x+y = 2[/tex]
A) 3 - 1 = 2 ← (Correct Answer)
B) -3+1 = -2
C) -3-1 = -4
D) 3+1 = 4
E) 9-31 = -22
Which expression can you simplify by combining like terms?
CLEAR CHECK
12b2+4ab−3ba−6
17a2−6b2a+4ba−9
5b2−5a2+8a−b
14a2+6ab−3b−3a
The circle below has center C, and its radius is 4 feet. Find the area of the sector with central angle DCE given
that m angle DCE= 60°. Find an exact answer in terms of pie
Answer:
[tex]area = \frac{8}{3}pie ft^2[/tex]
Step-by-step explanation:
Area of sector is given as θ/360*πr²
Where,
θ = central angel of sector, m < DCE = 60°
r = radius = 4 feet
Area of sector = [tex] \frac{60}{360}*pie*4^2[/tex]
[tex] area = \frac{1}{6}*pie*16[/tex]
[tex] area = \frac{1*16}{6}*pie[/tex]
[tex] area = \frac{16}{6}*pie[/tex]
[tex]area = \frac{8}{3}pie ft^2[/tex]
Area of the sector = 8/3π ft²
Community Theater Owner A community theater currently sells 200 season tickets at $50 each. In order to increase its season-ticket revenue, the theater surveys its season ticket holders to see if they would be willing to pay more. The survey finds that for every $5 increase in the price of a season ticket, the theater would lose 10 season-ticket holders. What action, if any, should the theater owner take to increase revenue? a. Let n be the number of $5 price increases in the cost of a season ticket. Write an expression for the cost of a season ticket after n price increases, and an expression for the number of season-ticket holders after n price increases. b. Use the expressions from part a to create a revenue function, R (n) , from the survey information. c. Graph the revenue function. Be sure to label the axes with the quantities they represent and indicate the axis scales by showing numbers for some grid lines.
Answer:
the owner should increase prices to increase revenue (up to n=5)a) c(n) = 50+5n; q(n) = 200-10nb) R(n) =50(10+n)(20-n)c) see below for a graphStep-by-step explanation:
a. The cost of a ticket after n price increases of $5 each will be ...
c(n) = 50 +5n
The number of season-ticket holders (q) after n price increases will be ...
q(n) = 200 -10n
__
b. The revenue after n price increases will be ...
R(n) = c(n)·q(n) = (50 +5n)(200 -10n)
R(n) = 50(10 +n)(20 -n)
__
c. See the attachment for a graph
__
d. The theater owner should raise the price of a season ticket to increase revenue. The number of $5 price increases should not exceed 5 if revenue is to increase. Above that number, revenue will decrease.
a glacier that was 1,076 meters thick changed in thickness at an average rate of -22.7 meters per year for 7 years. Write an addition expression you can use to find the glacier's thickness after 7 years answer fast ASAP PLEASSEEEE running out of timeeeee
Answer:
1076-(22.7)7
Step-by-step explanation:
SOMEONE PLS HELP I WILL GIVE BRAINLIEST
factor x^(n+2)+x^(2)
pls explain too :>
Answer:
x² (x^n + 1)
Step-by-step explanation:
factor x^(n+2) + x²
= x^(n+2) + x²
= x^n • x² + x² (using law of indices)
= x²(x^n + 1)