Answer:
A) [tex]\frac{1+sin(x)+1-sin(x)}{1-sin^2(x)}=\frac{2}{cos^2(x)}[/tex]
Step-by-step explanation:
By combining the fractions on the left side into one fraction, we have:
[tex]\frac{1}{1-sin(x)}+\frac{1}{1+sin(x)}=\frac{2}{cos^2(x)}\\ \\\frac{1+sin(x)+1-sin(x)}{(1-sin(x))(1+sin(x))}=\frac{2}{cos^2(x)}\\\\\frac{1+sin(x)+1-sin(x)}{1-sin^2(x)}=\frac{2}{cos^2(x)}[/tex]
Also, given the Pythagorean Identity [tex]sin^2(x)+cos^2(x)=1[/tex], then [tex]cos^2(x)=1-sin^2(x)[/tex].
Leila is buying a dinosaur model. The price of the model is z dollars, and she also has to pay a 7% tax.
Which of the following expressions could represent how much Leila pays in total for the model?
Answer:
T=z(0.07)+z
Step-by-step explanation:
Dat right der
what is 3/8 x(1 -1/3)
Answer:
1/4x
Step-by-step explanation:
3/8x(1-1/3)
3/8x - 1/8x = 1/4x
I hope that's right.
i literally have a test tomorrow and dont know what to do please help
Answer:
(-6, 1)
Step-by-step explanation:
y = 1 is the equation of a horizontal straight line that passes through (x, 1), where x can be any number. Four points are given. y = 1 for only one of them: (-6, 1). Answer "Yes" for this one point (the one in the second row).
Solve the system using substitution
3x - 6y =30
y = -6x + 34
x = 6
y = -2
(explanation in image)
Answer:
3x - 6(- 6x + 34) = 30 3x + 36x - 204 = 30 40x - 204 = 30 40x = 234x = 5.85then solve for y as a linear equationStep-by-step explanation:
Have a nice day !!!! :)An unknown number is twelve less than
four
Answer:
-8
Step-by-step explanation:
4 - 12 = -8 hope I'm right lol
Work out the sum of the first 60 terms of the following arithmetic series:
100 + 94 + 88 +...
Answer:
[tex]S_{60}=-4620[/tex]
Step-by-step explanation:
[tex]S_n=\frac{n}{2}[2a_1+(n-1)d]\\ \\S_{60}=\frac{60}{2}[2(100)+(60-1)(-6)] \\\\S_{60}=30[200+(59)(-6)]\\ \\S_{60}=30[200-354]\\ \\S_{60}=30[-154]\\\\S_{60}=-4620[/tex]
1/4 + -3/4 fractions
Montrer que le cube d’un nombre pair est un multiple de 8
Answer:
so the answer is 16? I dont know , need a better explanation on the question. ill answer until then.
Step-by-step explanation:
Answer:
56
Step-by-step explanation:
the answer might be 56
what is 13,300 divisble by
Answer:
the answer is 133×100 is 13,300........
find the unknown size of angles
Step-by-step explanation:
y+110=180 (cointerior angle)
y=180-110
y=70
y=z(Alternate angle)
z=70
x=z(corresponding angles)
x=70
Hope this helps.
{(1, 1), (2, 1), (-2, 1), (-1, 1)}
Function or Not a Function?
Find the equation of the lines passing through the point A(3,-4) and (1)parallel, (2)perpendicular to the line 4x+3y=8.If these lines meet the line 2x+y=1 in points B and C ,find the area of triangle ABC.
-3÷3(a+c(b+5)-(-6+a)) use a=1 b= -6 and c= -4
Answer:
2
Step-by-step explanation:
-3÷3 (1 + (-4) (-6 + 5) - (-6 + 1)
-3 ÷ 3 (-3)(-1) - (-5)
-3 ÷ 3(3) + 5
-3 ÷ 3 = -1
-1(3) + 5
-3 + 5 = 2
I hope this helps!
Which pair of angles are alternate exterior angles of parallel lines v and w?
b° and d°
a° and b°
a° and d°
a° and c°
Answer:
a and d
Step-by-step explanation:
v and w are parallel lines
R is the transversal
Alternate exterior means on the opposite sides of the transversal and outside of the parallel linea
a and d are alternate exterior angles
i really need some help on this math problem?can you help me
Answer:
7 units
Step-by-step explanation:
Forming an equation:
There is a one-time signup fee. Let that be represented by "a".
Then, there's also a weekly fee. Let that be represented by "b", i.e., the fee for one week is "b" units.
==> If she goes to the gym for x weeks, then her total weekly fee will be "b" times "x" units.
If we represent her total cost after membership by "y", our equation becomes:
[tex] \boxed{ \sf{y = a + bx}}[/tex]
We're provided with three values of x and y.
When x = 6, y = 133When x = 12, y = 175When x = 24, y = 259The solution to the equation:
Substitute the respective values of x and y into the equation.
#1
133 = a + 6b
==> a = 133 - 6b
#2
175 = a + 12b
Since we only need the values of two variables we'll use only two equations.
Substituting from #1 for a:
175 = (133 - 6b) + 12b
==> 175 = 133 + 6b
==> 175 - 133 = 6b
==> 42 = 6b
==> b = 7
And b is the amount she pays each week.
So, the answer is 7 units.
A realtor uses a lock box to store the keys to a house that is for sale. The access code for the lock box consists of six
digits. The first digit cannot be 4 and the last digit must be even. How many different codes are available? (Note that 0
is considered an even number.)
Answer:
450,000
Step-by-step explanation:
The first digit has 9 choices
Digits 2 through 5 each have 10 choices
Digit 6 has 5 choices.
9 * 10 * 10 * 10 * 10 * 5 = 450,000
How do I award brainliest I’m confused
First person to answer and actually help will get it! I have 2 min. Go!
Answer:
I think its an lucky chance for an mod or something to notice you
Step-by-step explanation:
what is the slope of y−4=−7(x−6)
Answer:
slope = - 7
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
y - 4 = - 7(x - 6) ← is in point- slope form
with slope m = - 7
Answer:
M= -7
Step-by-step explanation:
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
y - 4 = - 7(x - 6) ← is in point- slope form
with slope m = - 7
pls branliest
how can i solve it formula y= mx + b
Answer:
y = 4/3x - 4
Step-by-step explanation:
you are given b
so y = mx -4
you can look at the graph and see the slope from there. like the y-intercept and the x-intercept
(0,-4) and (3,0)
slope formula is y2-y1/x2-x1
and so you do -4-0/0-3
-4/-3.
so your slope formula would be
y = 4/3x - 4
PLEASE HELP DUE TODAY PLEASE HELP DO THE WHOLE PAGE PLEASE SHOW YOUR WORK PLEASE
Answer:
1. Circle A: 1 right angle
Circle B: 2 pairs of parallel sides, 2 pairs of sides with equal length
2. 2 pairs of parallel sides
2 pairs of sides with equal length
3. 2 sides of equal length
Step-by-step explanation:
1. Circle A: 1 right angle
Circle B: 2 pairs of parallel sides, 2 pairs of sides with equal length
2. 2 pairs of parallel sides
2 pairs of sides with equal length
3. 2 sides of equal length
Drag each number to show whether it is a prime number or a composite number.
Three of the numbers are prime, and three are composite.
Prime:
Composite:
26,3,33,85,61,41
pls help me
PRIMES: 3, 61, 41
COMPOSITES: 26,33,85
In right triangle ABC, C is the right angle. What does sinB equal? options: sinB, cosB, cosA, not enough information
Answer:
Answer: cos(A)
Step-by-step explanation:
» From trigonometry,
[tex]{ \tt{ \sin( \theta) = \frac{opposite}{hypotenuse} }} \\ [/tex]
[tex]{ \tt{ \red{ \sin(B) = \frac{AC}{AB} }}} \\ [/tex]
» For cosine:
[tex]{ \tt{ \cos( \theta) = \frac{adjacent}{hypotenuse} }} \\ \\ { \red{ \tt{ \cos(A) = \frac{AC}{AB} }}}[/tex]
» Therefore, sinB = cosA
Answer:
Not enough information
explanation:
Taking sin here:
∠A + ∠B + ∠C = 180°
∠A + ∠B + 90 = 180°
∠A + ∠B = 90°
sin(A) + sin(B) = sin(90)
sin(B) = 1 - sin(A)
Taking cos here:
∠A + ∠B + ∠C = 180°
∠A + ∠B + 90 = 180°
∠A + ∠B = 90°
cos(A) + cos(B) = cos(90)
cos(A) + cos(B) = 0
cos(B) = -cos(A)
How can you change the dimensions of the rectangle so that the ratio of the length to the width stays the same, but the perimeter is 185 centimeters? l=25cm h=12cm
Answer:
Width= 30
Length= 62.5
Step-by-step explanation:
First we simplify the length to width ratio
25/12=
2 1/12 ratio of length to width
width=x
length=2 1/12x
Make the equation for this ratio's perimeter being equal to 185
2(2 1/12x) + 2(x)=185
Solve for x
4 1/6x +2x=185
6 1/6x=185
x=30
Substitute the answer in for x to find the length and width
Width= 30
Length= 2 1/12(30)
Length= 62.5
sam knows that 1 inch is about 2.54 centimeters. about how many centimers is 3 inches
Please help me!
its my last question.
3/2 ( 4x - 8) +3x = 6x - 12 +3x
= 9x - 12
Can someone please help me? I will mark as brainliest. Thank you!!
Answer:
a = 6.5 mperimeter = 52 mStep-by-step explanation:
The shape is a trapezoid on top of a parallelogram. The areas of each of the figures can be found separately, then added together.
Trapezoid areaThe area formula is ...
A = 1/2(b1 +b2)h . . . . where b1, b2 are the base lengths and h is the height
A = 1/2(12 +a)(7) = 3.5(12 +a) = 42 +3.5a
__
Parallelogram areaThe area formula is ...
A = bh
A = (12)(9) = 108
__
The area of the figure is then ...
total area = trapezoid area + parallelogram area
172.75 = 42 +3.5a + 108
22.75 = 3.5a . . . . . . . . . . . . subtract 150
6.5 = a . . . . . . . . . . divide by 3.5
The length 'a' is 6.5 meters.
__
PerimeterThe perimeter is the sum of the side lengths. Opposite sides of the parallelogram are the same length. Clockwise from the bottom left, the sum of side lengths is ...
P = 9.2 +7.8 +6.5 +7.3 +9.2 +12 . . . meters
P = 52 . . . meters
The perimeter is 52 meters.
Please help FAST!!!!!
Answer:
Step-by-step explanation:
Pretty obvious this is an exponential decay graph, so it's either 'divide' or 'multiply'.
Change the equation 8x + 4y = 24 into slope-intercept form
Answer:
y= -2x+6
Step-by-step explanation:
8x+4y=24 move the 8x to the other side
4y=-8x+24 divide by 4
y=-2x+6
Solve the inequality. Then, graph the solution 15x ≥ −60
Answer:
A closed circle on -4, going to the right.
Step-by-step explanation:
15x ≥ −60
/15 /15
x ≥ -4
This is a closed circle on -4, going to the right.
Hope that helps!
What is the quotient of 840 divided by 70 with a remainder?
Answer:
the quotient is 12 and there is no remainder
Step-by-step explanation: