The value of csc C in fraction and in decimal form is as follows:
csc C = 5 / 3
csc C = 1.66666666667
Using trigonometric ratio,
secant A = 1 / cos A = hypotenuse / adjacent
Therefore,
sec A = 5/3
sec A = 1 / cos A
cos A = adjacent / hypotenuse
cos A = 3 / 5
A = cos⁻¹ 0.6
A = 53.1301023542
Therefore,
∠A = 53°
∠B = 90°
∠C = 180 - 143 = 37°
cosec C = 1 / sin C = hypotenuse / opposite
cosec C = 5 / 3
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A school with 60 teachers is on alert during a nighttime storm. To inform teachers whether the school will open the next day, the principal will call four teachers, each of whom will call two others, and each of these will call two others, and so on until all 60 teachers have been contacted. How many teachers will have to make two calls?
A) 32
B) 29
C) 16
D) 24
E) 28
Answer:
The answer is 16
Step-by-step explanation:
call four teachers, each of whom will call two others, and each of these will call two others
Answer:
E) 28
Step-by-step explanation:
The 4 teachers the principal calls will each make 2 calls.
The 8 teachers they call will each make 2 calls.
The 16 teachers they call will each make 2 calls. At this point, all 60 teachers have been notified, and the last 32 recipients of calls don't need to call anyone.
4 +8 +16 = 28 teachers make 2 calls.
Where is 0.5 on the graph? I have to do ( 0.5, 4)
Answer:
It would be between the 0 and the 1 on the horizontal line
0.5 is where the blue dot is, then for 0.5 , 4 just go up 4 from there
FACTORIZE AND Split the middle term: 72 + b - b^2
Answer:
- (b - 9)(b + 8)
Step-by-step explanation:
72 + b - b² ← factor out - 1 from each term and rearrange into standard form
= - (b² - b - 72) ← factor the quadratic
Consider the factors of the constant term (- 72) which sum to give the coefficient of the b- term (- 1)
The factors are - 9 and + 8
Use these factors to split the b- term
b² - 9b + 8b - 72 ( factor the first/second and third/fourth terms )
b(b - 9) + 8(b - 9) ← factor out (b - 9) from each term
(b - 9)(b + 8)
Then
72 + b - b² = - (b - 9)(b + 8)
The number of hours needed to assemble computers varies directly as the number of computers and
inversely as the number of workers. If 16 workers can assemble 40 computers in 10.25 hours, how many
workers are needed to assemble 68 computers in 16.40 hours?
The number of workers needed to assemble 68 computers in 16.40 hours is 17 workers
let
number of hours = h
number of computers = c
number of workers = w
h = k × c / w
where,
k = constant of proportionality
h = 10.25
w = 16
c = 40
h = k × c / w
10.25 = k × 40 / 16
cross product
10.25 × 16 = k × 40
164 = 40k
k = 164/40
k = 4.1
If
c = 68
h = 16.40
h = k × c / w
16.40 = 4.1 × 68 / w
cross product
16.40w = 4.1 × 68
16.40w = 278.8
w = 278.8 / 16.40
w = 17 workers
Therefore, the number of workers needed to assemble 68 computers in 16.40 hours is 17 workers
Learn more about ratio:
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pleeeeease help meeeeeee
Answer:
y = 5x +7
Step-by-step explanation:
Using the hint, we have ...
y -(-3) = 5(x -(-2)) . . . . . m = 5, (x1, y1) = (-2, -3)
y = 5x +10 -3 . . . . . eliminate parentheses, add -3
y = 5x +7
The graph of the function, fx) = -2x + 6x-3, opens blank
and has a blank
value.
The graph of function [tex]f(x) = -2x^2 +6x - 3[/tex] opens down and has a maximum vertex.
The function is given as:
[tex]f(x) = -2x^2 +6x - 3[/tex]
See attachment for the graph of function f(x).
From the attachment, we can see that the graph opens down, and it crosses the x-axis at two distinct points.
Hence, the graph of function [tex]f(x) = -2x^2 +6x - 3[/tex] opens down and has a maximum vertex.
Read more about quadratic functions at:
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In ΔSTU, u = 280 inches, ∠T=63° and ∠U=29°. Find the length of t, to the nearest 10th of an inch.
Answer:
t = 514.6in.
Step-by-step explanation:
280/sin(29°) = t/sin(63°)
t = 280*sin(63°)/sin(29°)
t = 514.6 in. (to the nearest 10th of an inch)
The drama club is selling tickets to their play to raise money for the show's expenses:
Each student ticket sells for $5 and each adult ticket sells for $7.50
The auditorium can hold no more than 75 people.
The drama club must make a minimum of $450 from ticket sales to cover the show's costs.
If x represents the number of student tickets sold and y represents the number of adult tickets sold, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
see attached
Step-by-step explanation:
The two inequalities you want to plot are ...
x + y ≤ 75 . . . . . . . . the auditorium can hold no more than 75 people
5x +7.5y ≥ 450 . . . a minimum of $450 revenue is needed to cover costs
__
These are probably most easily plotted by graphing their intercepts. The boundary line for the first inequality will have x- and y-intercepts of 75. Shading will be below the line.
The boundary line for the second inequality will have an x-intercept of 450/5 = 90, and a y-intercept of 450/7.5 = 60. Shading will be above the line.
On of the points in the potential solution area is shown in the attached graph:
(x, y) = (25, 50) . . . . fills the theater, gives $500 revenue
guys please (number 3)
Answer:
500 < c < 1,700
Step-by-step explanation:
HELPPP PLZZ AND THANK YOU <3
Answer:
Step-by-step explanation:
6) An ice cream factory makes 200 quarts of ice cream in 5 hours. How many
quarts could be made in 12 hours? What was that rate per day?
Answer:
480 quarts could be made in 12 hours
Rate: 40 quarts per hour
Step-by-step explanation:
Rate: 200/5 = 40 quarts per hour
(40)(12) = 480 quarts
The function f(x) goes through the point (1, 8). What point will this translate to in the function f(x) = (x - 4) + 5? (5, 13) (-3, 3) (5, 3) (-3, 13)
BRAINLIEST
Answer:
A. (5, 13)Step-by-step explanation:
The function f(x) = (x - 4) + 5 is the translation of the function f(x) 4 units right and 5 units up and the rule is:
(x, y) → (x + 4, y + 5)Apply the rule to the given point to get:
(1, 8) → (1 + 4, 8 + 5) = ( 5, 13)Correct choice is A
Answer:
A. (5, 13)
Step-by-step explanation:
if you take 3/4 of 1 3/5 how much do you have
Answer:
1 1/5
Step-by-step explanation:
1.6*3/4
4.8/4
1.2
1 1/5
Therefore, the answer is 17/20.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Help me please ;-;
NO LINKS!!!
A ___________ represents a relationship between two quantities. Select all that apply.
A. Equation
B. Graph
C. Table
D. Function
Answer:
D. Function
Step-by-step explanation:
Function:a relationship or expression involving one or more variables.
"the function (bx + c)"
PLEASE HELP ME ASAP this is very important to me IT WILL RAISE MY GRADE and if you help me god bless you
Answer:
option 4
Step-by-step explanation:
(y intercept and negative slope)
I got this homework packet , I did some of the questions but graphs are what I’m stuck on the most .
Answer:
For the first picture, I think it is C and the second one should be A.
Step-by-step explanation:
You use vertical lines and if it hits it multiple times it is not a function. Like if it hits two dots or something it is not a function. I hope that make sense, let me know if it doesn't.
Stacey is selling popcorn at a rate of $2 per bag. She is only charging a one time thing for $0.50 for tax. What is the equation of this description?
Sonal and Gaurav have 2 numbers written on a piece of paper. Sonal's number PQR is divisible by
3 and 4. Gaurav's number STU is divisible by 2 and 9.
The two numbers are joined to form a new 6-digit number PQRSTU as shown.
The number PQRSTU IS DEFINITELY divisible by
A 4 B 6 с 8 D 9
PQRSTU is definitely divisible by 4.
Since Sonal and Gaurav have 2 numbers written on a piece of paper, and Sonal's number PQR is divisible by 3 and 4, while Gaurav's number STU is divisible by 2 and 9, and the two numbers are joined to form a new 6- digit number PQRSTU, to determine the number by which the number PQRSTU is definitely divisible by, the following logical reasoning must be performed:
Since the numbers are not added mathematically, but joined numerically, and that STU is the last number in the row, and that it is divisible by 3 and 4, while only 4 is among the options, the number PQRSTU is definitely divisible by 4.
Learn more about maths in https://brainly.com/question/20010402
Good morning fellow Brainaics.
Please help me with this question.
Answer:
Veganism :)
Step-by-step explanation:
Step-by-step explanation:
B: Veganism.
but ... how is that mathematics ?
Sara bought a pair of jeans for $75. If the jeans were on sale for $25 off, calculate the discount.
Answer:
33.3333% decrease
Step-by-step explanation:
Percentage Decrease = [ (Starting Value - Final Value) / |Starting Value| ] × 100
75 - 25 = 50
the price went from $75 to $50.
75 - 50 = 25
25 ÷ 75 = 0.3333333333333
0.3333333333333 x 100
= 33.3333%
Answer:
the discount was 33.3% off
Step-by-step explanation:
((New - Old) / |Old|) x 100
((50 - 75) / |75|) × 100
(-25 / 75) = -0.333
-0.333 x 100 = 33.3%
Write the gcf of:
200x^2y^5 and 1000x^3y^2
Answer:
Step-by-step explanation:
200 divides into 1000 so that is part of the HCF.
x^2 and x^3 are present so the HCF contains x^2
y^2 and y^5 are present so the HCF contains y^2
HCF = 200*x^2 * y^2
13. If r + 9 = 42, does r +9-9=42 +9?
Why or why not?
Answer:
no
Step-by-step explanation:
if u subtract negative nine from one side of the equation, in order to keep both sides of the equation equal, you must subtract 9 from the other side. moreover, if you subtract nine from one side and add 9 to the other, there will be a 9+9=18 difference in values of both sides
brainliest pls thanks
From 7x^2+5xy-3y^2 subtract the sum of 2x^2+3xy-5y^2 and x^2-7xy-4y^2
Answer:
4x^2 +9xy +6y^2
Step-by-step explanation:
Combine like terms. I find it useful to factor out the variable part of the expression so I can see what coefficients are being combined.
7x^2+5xy-3y^2 - (2x^2+3xy-5y^2 + x^2-7xy-4y^2)
= (7 -2 -1)x^2 +(5 -3+7)xy +(-3 +5 +4)y^2
= 4x^2 +9xy +6y^2
(9,11)(9,3) find the slope and explain
please
Answer:
0
Step-by-step explanation:
y2-y1/x2-x1
11-3/9-9
8/0
0
slope=0
solve 2 2/3 x 3 3/5 using an area model of 4 squares.
Answer:
Step-by-step explanation:
the answer
the true answer is A) 4x^2+52x+165=320; x = 2.5
proof:
since they want to limit its area to 320 in^2
x must be equal 2.5, because 4.(2.5)^2+52(2.5)+165= 25+130+165=320;
the main rule of the area of a triangle is
A= (base x height )/2
let be b the base and h the height
so h=20- 6b
so 50= b x( 20-6b) /2, implies 100/b = 20 - 6b
if b=x, we have 100= 20x -6x² this is equivalent to 6x² - 20x = -100
so the answer is
D) None of the choices are correct.
the largest dimensions that can be used for the fountain are
B) x^2+8x+16=800
C) x^2+16=800
proof
x^2+8x+16=x^2+8x+4², 4² is the area of the square fountain, and x^2+8x should be the remaining of the area, the total space that the fountain and sidewalk can use is 800, it is less than 800 ft^2.
Use the same method for. x^2+16=800
Answer:
I don't know but good luck!!!!!
Make x the subject
5px+q^2=3c
Answer:
x=[tex]\frac{3c-q^2}{5p}[/tex]
Step-by-step explanation:
5px+q^2=3c
subtract q^2 from both sides
5px=(3c)-q^2
divide by 5p from both sides
x=[tex]\frac{3c-q^2}{5p}[/tex]
One minute is (60,12,50,100 pick one ) times as long as ( one hour or one second)
Answer:One minute is 60 times as long as one hour i guess?
ursula drew a polygon in which all the angels were obtuse. what kind of polygon could she have drawn
Answer: Hexagon
Explanation:
There are n = 6 sides to a hexagon. If we had a regular hexagon, then each exterior angle is E = 360/n = 360/6 = 60 degrees, which means the adjacent interior angle is 180-E = 180-60 = 120.
In short, each interior angle of a regular hexagon is 120 degrees, making each angle obtuse. Other polygons are possible for the answer.
#4 (Show your work)
Pablo worked 3 jobs last summer. Pablo made $767.56 kifeguarding. $598.99 mowing lawns, and $643.33 house-sitting. How much money did Pablo earn doring summer?
Answer:
$2009.88
Step-by-step explanation:
767.56+598.99+643.33 = $2009.88
Choose two expressions that are equivalent to 5 (3a + 4b).
A. 15a + 4b
B. 15a + 206
C. 5a + 3a + 4b
D. 5a + 10a + b + 3b
E. 10a + 5a + 15b + 5b
Pick two answers
Answer:
B and E
Step-by-step explanation:
I think the choice is wrong. choice B maybe 15a+20b...
5(3a+4b) = 15a+20b (B)
(E) : 10a + 5a + 15b + 5b = 15a+20b
fighting! ✌✌
Answer:
e. 5(3a+4b) = 15a+ 20b = 10a+5a+15b+5b