[tex]\stackrel{\textit{reciprocal ident.}}{csc(\theta)=\cfrac{1}{sin(\theta)}} ~\hfill \stackrel{\textit{symmetry ident.}}{sin(-\theta )=-sin(\theta)}~\hfill \begin{array}{llll} \stackrel{\textit{pythagorean ident.}}{sin^2(\theta)+cos^2(\theta)=1}\\ sin^2(\theta)=1-cos^2(\theta)\\ cos^2(\theta)=1-sin^2(\theta) \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\cfrac{csc^2(-x)-1}{1-cos^2(-x)}\implies \cfrac{~~\frac{1}{sin^2(-x)}-1~~}{sin^2(-x)}\implies \cfrac{~~ \frac{1-sin^2(-x)}{sin^2(-x)}~~}{\frac{sin^2(-x)}{1}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{keeping in mind that}~\hfill }{sin^2(-x)\implies [sin(-x)]^2\implies [-sin(x)]^2\implies [sin(x)]^2\implies sin^2(x)} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\cfrac{~~ \frac{1-sin^2(x)}{sin^2(x)}~~}{\frac{sin^2(x)}{1}}\implies \cfrac{1-sin^2(x)}{sin^2(x)}\cdot \cfrac{1}{sin^2(x)}\implies \cfrac{cos^2(x)}{sin^2(x)}\cdot \cfrac{1}{sin^2(x)} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill cot^2(x)csc^2(x)~\hfill[/tex]
Question
A triangle with area 40 square inches has a height that is four less than six times the width. Find the width and height of the
triangle
Answer:
width is 4
height is 20
Step-by-step explanation:
Area=½ width × height
let the width be x
height will be 6x - 4
40 = ½ × x × (6x - 4)
40 = 2/2 × 3x² - 2x
40 = 3x² - 2x
3x² - 2x - 40 = 0
3x² -12x + 10x - 40 = 0
3x(x-4) + 10(x-4) = 0
(3x + 10)(x - 4) = 0
x = -10/3 or 4
dimension cannot be negative
x is 4
6x-4= 6(4) - 4
24 - 4
20
Ashleigh went to Cape Canaveral to watch the space shuttle take off. The solid rocket boosters are ejected after the shuttle passes through the threshold of space. This is scheduled to occur when the shuttle reaches a height of 354,200 feet. If Ashleigh is 10 miles from the launchpad, what will be the angle of elevation she has to look up to see the boosters ejected?
factorise
18p+6
please im so bad
need help with this problem
Answer:
x = 6
Step-by-step explanation:
Answer:
Step-by-step explanation:
tan30 = x/12
x = 12tan30
x = 12(sin30/cos30)
x = 12(½ / ½√3)
x = 12/√3
x = (12/3)√3
x = 4√3
23x25 = please help
Answer:
575
Step-by-step explanation:
23/4 = 5.75 times 100
Answer:
575
Step-by-step explanation:
23×25=575 so 575 would be your answer
Suppose that sin a= 15/17 and 90 degrees
Based on the graph, what is true about polygon ABCD?
a. The polygon is a hexagon
b. The area of the polygon is 96 square units
c. The perimeter is 20 unit
d. Side AD is congruent to side DC
Answer:
B
Step-by-step explanation:
The Width of the Rectangle (read Polygon) is 8 units and the Length of the Rectangle is 12 units.
The area of the polygon is 96 square units. Therefore, the correct answer is option C.
From the given graph, we have polygon ABCD.
From the graph, we have AB=DC=12 units and BC=AD=8 units.
Here, the given polygon is rectangle.
Area of a rectangle = Length×Breadth
Now, area of a rectangle = 12×8
= 96 square units
Perimeter of a rectangle = 2(Length+Breadth)
= 2(12+8)
= 2(20)
= 40 units
Therefore, the correct answer is option C.
To learn more about the area of a rectangle visit:
https://brainly.com/question/20693059.
#SPJ4
SOMEONE PLS HELP ME WITH GEOMETRY: what triangle is congruent to ABC?
Answer:
MLK :)
Step-by-step explanation:
Congruent means identical shape.
Answer:
D. KLM
Step-by-step explanation:
What is the value of c?
Answer:
Step-by-step explanation:
Explanation:
Since it is a right triangle and we are given the two shorter legs, the hypotenuse is found by
c
2
=
a
2
+
b
2
c
2
=
10
2
+
24
2
=
100
+
576
=
676
c
=
√
676
=
26
given parallelogram EFGH, where EF = 5x + 18, HE = 3x + 4 and the perimeter is 60, which value of GH
Given the perimeter of the parallelogram in the image below is 60, the value of GH will be: 23.
Recall:
Perimeter of a parallelogram = 2(a + b), where a is the side length and b is the base length.Opposite sides of a parallelogram are equal.Given the parallelogram as shown in the diagram below, where:
base (b) = EF = 5x + 18
side (a) = HE = 3x + 4
Perimeter = 60
Plug in the values into the formula:
60 = 2[(3x + 4) + (5x + 18)]
60 = 2[3x + 4 + 5x + 18]
60 = 2[8x + 22]
60 = 16x + 44
60 - 44 = 16x
16 = 16x
1 = x
x = 1
GH = EF = 5x + 18 (equal opposite sides of parallelogram)
GH = 5x + 18
Plug in the value of xGH = 5(1) + 18
GH = 23
Learn more about the perimeter of a parallelogram on:
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You want to be able to withdraw $30,000 from your account each year for 15 years after you retire. If you expect to retire in 25 years and your account earns 6.4% interest while saving for retirement and 5.6% interest while retired:
Round your answers to the nearest cent as needed.
a) How much will you need to have when you retire?
$ 448,704.35 (correct answer)
b) How much will you need to deposit each month until retirement to achieve your retirement goals?
c) How much did you deposit into you retirement account?
d) How much did you receive in payments during retirement?
e) How much of the money you received was interest?
Answer:
use calculator
Step-by-step explanation:
A hole needs to be at least 40 feet below ground level. This means it needs to be more than 2 times its current depth.
represented by the inequality 2d<-40, where d is the current depth of the hole.
Select from the drop-down to correctly interpret the solution of this inequality.
The current depth of the hole is Choose.
feet below ground level
The current depth of the hole is at least 20 feet below ground level.
Inequality is an expression that shows the non equal comparison of numbers and variables.
Let d represent the current depth of the hole.
To be at least 40 feet below ground level, he need more than 2 times its current depth.
2d < -40
d < -20
Hence the current depth of the hole is at least 20 feet below ground level.
Find out more on inequalities at: https://brainly.com/question/11613554
Answer:
20 feet below
Step-by-step explanation:
PLEASE HELP ASAP
PLZPLZPLZ
Find the future value of 1000 at 7 % interest compounded annually for 10 years.
Answer:
1967.15
Step-by-step explanation:
1000 x 1.07^10 = 1967.15
The future value of 1000 with annual compounding for 10 years is $1967.15.
The formula for calculating with annual compounding is:
FV = P (1 + r)^n
FV = Future value P = the amount deposited R = interest rate N = number of years1000 x (1.07)^10 = $1967.15
To learn more about future value, please check: https://brainly.com/question/18760477
Identify the digit in the ten thousandths place in every number.
1.) 12.00535
2.)54.01247
3.) 3.98056
4.) 0.00667
5.) 70.70071
6.) 0.07889
7.) 10.00898
Answer:
Step-by-step explanation:
The decimal point will help you find your way here. Just to the right of the decimal is the tenths place. 0.4 is the number four tenths.
Next, farther to the right is the hundredths place-- 0.04 is the number four hundredths.
Next over is the thousandths place-- 0.004 is the number four thousandths. And finally, the next over is the ten thousandths place...like this, 0.0004 is the number four ten thousandths
So, 1) 12.00535 has a one in the tens place, a two in the ones place, zeros in the tenths and also the hundredths places, fives in the thousandths place and also the hundred thousandths place, AND, what you're looking for-- a 3 in the ten thousandths place.
1) 3
2) 4
3) 5
4) 6
5) 7
6) 8
7) 9
For ten thousandths place, you're looking at the fourth spot on the right side of the decimal.
You are playing a game where you flip 3 coins, if you get all tails you lose $15, for each heads you get $3. What is your expected profit from this game?
Answer:
expected profit=$-3
Step-by-step explanation:
1 tail=-5
1 head=3
3/2=1.5
1.5*3=4.5
1.5*-5=-7.5
4.5-7.5=-3
$-3
1x10,000 + 6x1,000 + 3x100+ 7x10 + 8x 1/10 + 9/100 in a standed form
a- 163,789
b- 163,700.89
c- 16,378.9
d- 1,637.89
e- 16,370.89
Answer:
C
Step-by-step explanation:
because write in standard form hope it helps to you
Question
Each data point on the scatter plot represents last month’s necklace and earring sales, in thousands of dollars, at one of the fourteen locations in a nationwide jewelry store chain. The correlation coefficient between necklace sales and earring sales is 0.98.
Wes says that an increase in necklace sales must cause an increase in earring sales. Ann says that an increase in earring sales must cause an increase in necklace sales. Who is correct?
Answer:
Wes
Step-by-step explanation:
This represents a positive correlation, meaning that when x increases, so does y. Because of x, y increases meaning that Wes is correct
Help help math straightforward answer ASAP pelsss thanks
Answer:
55 degrees
Step-by-step explanation:
a line is 180 degrees. also, all angles in any triangle add up to 180 degrees. so, find the missing angle in the triangle by 180-30-25=125 degrees. Then to find angle 4, 180-125=55 degrees.
The slope of line
g
is −12
-
1
2
.
−12
-
1
2
·
·
=
=
−1
Answer:
g
is −12
-
1
2
.
−12
-
1
2
·
·
=
=
−1
which expression are of -48xyz+24xy+40xyz
A4
B24
C3X
D8Y
E2XY
F6XY
GXYZ
Answer:
I'm GUESSING you want to know which are possible FACTORS of the equation. - 48xyz + 24xy + 40xyz
IF so,
THEN
A) 4 as 48, 24, and 40 divide evenly by 4
4(-12xyz + 6xy + 10xyz)
D) 8Y as 48, 24, and 40 divide evenly by 8 and each term has a Y
8y(-6xz + 3x + 5xz)
E) 2XY as 48, 24, and 40 divide evenly by 2 and each term has a XY
2xy(-24z + 12 + 20z)
PLS HELPPPPPPPPPPPPPPPP!!!!!!!!!!!
Help help help help please business
Answer:
x = 35°
Step-by-step explanation:
These are corresponding angles. When a transversal crosses 2 parallel lines, 4 angles are created at each intersection, and each pair of corresponding angles between those are congruent.
These angles are congruent, so you can set them equal to each other:
[tex]2x+20=3x-15[/tex]
Then, just solve for x:
[tex]20=x-15\\35=x\\x=35[/tex]
You can check that by plugging it back into both:
[tex]2x+20=3x-15\\2(35)+20=3(35)-15\\70+20=105-15\\90=90[/tex]
Answer:
x = 35
Step-by-step explanation:
The angles shown are corresponding angles
Corresponding angles are congruent ( equal to each other )
This means that 2x + 20 should equal 3x - 15
Note that we've just created an equation that we can use to solve for x
We know use that equation to solve for x
2x + 20 = 3x - 15
add 15 to both sides
2x + 35 = 3x
subtract 2x from both sides
35 = x
And we are done!
is the following relation a function {(-6,-3),(-6,-1),(-6,5),(-6,8)
Answer:
Step-by-step explanation:
This relation (this group of points) is NOT a function. In order to be a function, every x-value (the first number in the pair) can only be paired up with one y-value (only one partner for the x)
In this relation, -6 is paired up with four different y-values (four different partners!)
If you plotted these points on a graph, you would see they are all lined up in a vertical line. If you have learned about the vertical line test, you will see that a vertical line goes through all four points. This set of points fails the vertical line test. To be a function, a vertical line can only touch the points one at a time.
To be a function, every x can only have one y partner.
Given: Triangle ABC Prove: m∠A=64°
By the triangle sum theorem, the sum of the angles in a triangle is equal to . Therefore, m∠A+m∠B+m∠C=180°. Using the Substitution Property, (4x)°+90°+(x+10)°=180°. To solve for x, first combine like terms to get 5x + 100 = 180. Using the Response area, 5x = 80. Then, using the division property of equality, x = 16. To find the measure of angle A, use the Response area to get m∠A=4(16)°. Finally, simplifying the expression gets m∠A=64°.
Answer:
Given: Triangle ABC Prove: m∠A=64°
By the triangle sum theorem, the sum of the angles in a triangle is equal to . Therefore, m∠A+m∠B+m∠C=180°. Using the Substitution Property, (4x)°+90°+(x+10)°=180°. To solve for x, first combine like terms to get 5x + 100 = 180. Using the Response area, 5x = 80. Then, using the division property of equality, x = 16. To find the measure of angle A, use the Response area to get m∠A=4(16)°. Finally, simplifying the expression gets m∠A=150
A bakery charges 15 for delivery plus 3 per cupcake. Let C represents the number of cupcakes. Which expression can be used to find the cost of a number of cupcakes, including the delivery?
A. 15c+3
B. 15c
C. 3c+15
D, 12c
Answer:
The answer is A.15c+3
Step-by-step explanation:
Please help me solve this
BA=(3),(3),(-1) is the answer
Evaluate g(10) of g(x) =1/2x -4
Answer:
g(x)= 1
Step-by-step explanation:
[tex]g(x) = \frac{1}{2} x - 4 \\g(10) = \frac{1}{2} (10) = 5 \\ 5 - 4 = 1[/tex]
Hello can anyone help me with these problems please and thank you
Answer:
94)=154°
95)=40°
96)=11
97)=11
98)=9
A 20 cm long thin wire is used to form a square. What is the area of the square?
Answer:
25cm^2
Step-by-step explanation:
A square has 4 equal sides so each side will be 20/4 = 5cm
Easily calculate the area by taking 5 x 5 = 25cm^2