Answer:
cosθ = -√(35/36)
tanθ = -1/√35
Step-by-step explanation:
We know that
sin²θ + cos²θ = 1
(1/6)² + cos²θ = 1
1 - (1/6)² = cos²θ
35/36 = cos²θ
sec θ = 1/ cosθ
1/ secθ = cos θ
Because secθ < 0, 1/ secθ would also be < 0, so cos θ < 0
cosθ = -√(35/36)
tanθ = sinθ/cosθ = (1/6)/-√(35/36)
= (1/6) / -(√35/6)
= -1/√35
write an equation in slope-intercept form for a line that goes through (9,-2) and is parallel to y=7x+2
Answer:
y=7x-65
Step-by-step explanation:
NO LINKS HELP (question is in picture)
Step-by-step explanation:
area of ∆ is 10in².
hope this helps you.
Solve 7x2-11x+13=0 by completing the square
Answer:
i think its 16
Step-by-step explanation:
Rewrite using a single positive exponent..-
7^2
——
7^-4
Answer:
7 ^2 ⋅ 7 ^4 = 49^6
Step-by-step explanation:
7² / 7 ⁻⁴
= 7²⁻⁽⁻⁴⁾
= 7 ⁽²⁺⁴⁾
= 7⁶
= 117649
Remember :-
xᵃ / xᵇ = xᵃ⁻ᵇ
___
Hope it helps ⚜
⁽
I’ll give 100 points
Answer:
2055 is the answer.
Step-by-step explanation:
If x represents the number of minutes and y represents the hiker elevation in feet.
y = 8.19x + 663
y = 8.19(170) + 663
y = 1392.3 + 663
y = 2055.3
Hope it helps:)
Answer:
:)
Step-by-step explanation:
The LCM of 2, 3, and 4 is _____. 24 12 6
Answer: the answer is 12
Step-by-step explanation: trust me
The LCM of 2,3, and 4 is 12.
What is LCM?The smallest number that can be divided by both numbers is known as the least common multiple (LCM) of two numbers.
The given numbers are 2,3 and 4.
The LCM of 2,3, and 4 is the lowest number that can be divisible by 2,3, and 4.
The lowest number that can be divisible by 2,3 and 4 is 12.
Therefore, the LCM of 2,3, and 4 is 12.
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If t=100, find 2t + 1
A basketball player makes 75% of her free throws. If she made 84 free throws this season, how many has she attempted?
A. 112
B. 105
C. 63
D. 168
Answer:
A
Step-by-step explanation:
84 / 0.75 = 112
112 x 0.75 = 84
Answer:
Its A
Step-by-step explanation:
An amusement park has two themed resorts, Stargazer Suites and Retro Retreat. The graph and table below display the cost of the stay, y, for different numbers of nights, x, for the two different resorts.
Which statement correctly compares the nightly rates at Stargazer Suites and Retro Retreat?
The nightly rate at Stargazer Suites is $15 more than the nightly rate at Retro Retreat.
The nightly rate at Stargazer Suites is $25 more than the nightly rate at Retro Retreat.
The nightly rate at Retro Retreat is $30 more than the nightly rate at Stargazer Suites.
The nightly rate at Retro Retreat is $80 more than the nightly rate at Stargazer Suites.
The nightly rate at each resort is the same.
Answer:
to confusing
Step-by-step explanation:
Answer:
The nightly rate at Stargazer Suites is $25 more than the nightly rate at Retro Retreat.
Step-by-step explanation:
Evaluate the expression
-11^3
The value of the expression is
Answer: - 1331
Step-by-step explanation:
(-11)(-11)(-11)
(121)(-11)
- 1331
Nick and Sally run on the 100m straight track,Nicks's speed is 3m/s,Sally's soeed is 2m/s.If they both start from two sides of the track, running towards each other continuously.Then they would meet each other ... times after 10 minutes
They would meet 30 times after 10 minutes.
Since Nick and Sally run on the 100m straight track, and Nicks's speed is 3m / s, while Sally's speed is 2m / s, if they both start from two sides of the track, running towards each other continuously, to determine how many times they would meet each other after 10 minutes the following calculation should be performed:
30 x 20 + 2 x 20 = 60 + 40 = 100 10 minutes = 600 seconds 600/20 = X 30 = X
Therefore, they would meet 30 times after 10 minutes.
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Kylie Jenner's gym membership
costs $150 to sign up and
then charges $3 for each visit.
Kanye West's gym membership costs $130
to sign up and
then charges $5 for each visit.
At how many visits
will they have spent
the same amount of money?
Answer:
The answer to this is 10 visits.
Step-by-step explanation: For this algebra, take a guess at first, and then you should be able to find an answer from there. All you have to do mathematically, is calculate (using the two starting values), when the prices are the same. For this, the equation would look something like: 5x + 130 and 3x + 150. X represents the unknown number of visits. When x is = 10, the prices are the same, 180 = 180. Edit: Another way you can do this, is graph a line of the two equations, and see what point they intercept. The X value of the point usually is the number of times something occurs until the price is the same, whereas the y value of the point is usually the price.
can you please help me with this question please
Answer:
c=$214.28
Step-by-step explanation:
Since you have the (p) value (p=285.7) all you need to do is plug it into one of these two equations
c=0.75p --- c=0.75(285.7)= 214.275-- 214.28
c=0.4p+100 --- c= 0.4(285.7) + 100 --- c= 114.28 +100 -- c= 214.28
either way its the same, just plug it into one or the other
round 6.073 to 2 decimal places
Answer:
6.07
Step-by-step explanation:
6.073 rounded to two decimal places is 6.07. Hope this helps.
the answer to the question is 6.07
Jason and Krystal are selling pecan pies and strawberry cheesecakes for a school fundraiserJason sold 9 pecan pies and 8 strawberry cheesecakes for a total of $153. Krystal sold 2 pecan pies and 6 strawberry cheesecakes for a total of $72. If it is possible to find them, what is the cost of each pecan pie and strawberry cheesecake ? If not possible , explain why
From the equation that was gotten, the value of the pecan pies and the cheesecake will be $9 each.
Based on the information given, the equations to solve the question will be:
9p + 8s = 153 ..... i
2p + 6s = 72 ..... ii
Multiply equation i by 2
Multiply equation ii by 9.
18p + 16s = 306
18p + 54s = 648
Subtract the equations
38s = 342
s = 9
Since 2p + 6s = 72
2p + 6(9) = 72
2p + 54 = 72
2p = 72 - 54.
2p = 18
p = 18/2 = 9
They're both $9 each
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is this correct ? if not what’s the correct answer?
Answer:
correct
Step-by-step explanation:
Corresponding vertices are listed in the same order. In BCDE, segment DE is listed last. In OPQR, the segment listed last is QR. If the figures are congruent, then ...
DE ≅ QR
Determine the intercepts of the line. Do not round your answers.
Answer:
-14/9, -14
Step-by-step explanation:
y = -9x - 14
For x intercept, replace y with 0 and solve.
0 = -9x - 14
14 = -9x
-14/9 = x
- 1 5/9 = x
For y intercept, replace x with 0 and solve.
y = -9(0) - 14
y = -14
expand and simplify \left(4+\sqrt{2}\right)\left(6-\sqrt{2}\right) give your answer in the form of b +c \sqrt{2}
Answer:
you get 15\3 divide then you answer would be 5
Step-by-step explanation:
Use the algebra tiles to help you solve the equation. 4x-2=10
Answer:
The solution to this equation is x=3
Step-by-step explanation:
A. In a complete sentence, describe the angle relationship in the diagram. B. Find the value of x
Answer:
x = 30
Step-by-step explanation:
a) The sum of the angles along the line is 180°. That means ...
2x° +90° +x° = 180°
__
b) Subtracting 90° and dividing by 3° gives ...
3x° = 90°
x = 30
Answer:
a) supplamentary angles b) X= 30
Step-by-step explanation:
A) Equal to 180 b) 90 divided by 3 gives you 30
Could somebody please help with this?
the x-intercept is the point where the line touches the x-axis. The x-intercept is (4,0)
the y-intercept is the point where the line touches the y-axis. The y-intercept is (0,-2)
Help help help help math math
Answer:
A = 192
Step-by-step explanation:
3 x 8^2
3 x 64 = 192
A $500 prize is shared equally between Maxwell and
Lino.
What fraction of the money does Maxwell get?
Answer:
1/2 50% $250
Step-by-step explanation:
Answer:
250$, or in fraction form, 1/2
Step-by-step explanation:
There are 2 people, so divide 1 whole by 2. Which is .5, or 1/2
A quadrilateral regular pyramid, the area of any of its lateral faces equal the area of its base, if the side
length of the base of the pyramid is = 6 cm, then the volume of the pyramid =..........cm3
a) 36
b) 673
c) 36/15
d) 216V15
Answer:
c) 36√15 cm³
Step-by-step explanation:
We can compute the volume of the pyramid if we know the area of its base, and its height.
__
A regular quadrilateral is a square. If one side of the square is 6 cm, its area will be ...
A = s² = (6 cm)² = 36 cm² . . . . area of the pyramid base
__
Each triangular face will have a slant height that makes its area the same as that of the base.
A = 1/2bh
36 cm² = (1/2)(6 cm)h
(36 cm²)/(3 cm) = h = 12 cm . . . . . divide by the coefficient of h
The slant height of a face is the hypotenuse of a right triangle whose short leg is half the side length, and whose long leg is the height of the pyramid. If that height is represented by h, the Pythagorean theorem tells us ...
(6 cm/2)² +h² = (12 cm)²
h² = (144 -9) cm²
h = 3√15 cm . . . . . height of the pyramid
__
The volume of the pyramid is given by ...
V = 1/3Bh . . . . . . base area B, height h
Using the values we found above, we compute the volume to be ...
V = (1/3)(36 cm²)(3√15 cm) = 36√15 cm³
The following function represents the value of a car, in dollars, after x years: f(x) = 24,000(0. 92)x What does 0. 92 represent? The present value of the car The value of the car after x years The decrease in the value of the car, which is 92% The decrease in the value of the car, which is 8%.
0.92 represents the decrease in the value of the car which is 8% and this can be determined by using the given data.
Given :
The given function represents the value of a car, in dollars, after x years.[tex]f(x)=24000(0.92)x[/tex]The following steps can be used in order to determine what does 0.92 represents:
Step 1 - Write the given function.
[tex]f(x)=24000(0.92)x[/tex]
Step 2 - In the given function $24000 represents the original value of the car.
Step 3 - According to the given data, 'x' represents the number of years.
Step 4 - Also in the given function, '0.92' represents the decrease in the value of the car which is 8%.
Therefore, the correct option is D).
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Jax is proving that the base angles of an isosceles triangle are congruent. He joins a line from
the vertex point to the midpoint of the base, as shown.
Which statement is true?
A) Since AKLM is congruent to AKNM using SSS congruency, m_KLM = m_KNM.
B) Since AKLM is congruent to ANKM using SSS congruency, m_KLM = m_KNM.
C) Since AKLM is congruent to AKMN using SAS congruency, m_KLM = m_KMN.
D) Since AKLM is congruent to ANKM using SAS congruency, m_KLM = m_KNM.
Answer: there you go
Step-by-step explanation:
solve one step equation
-9x = 45
Answer:
x=-5
Step-by-step explanation:
45÷-9=-5
I need a step by step explanation please on this please so I can understand it better
Answer:
P = 29 units
Step-by-step explanation:
Let h represent the height of the triangle. Then 2h is the length of the base. The area is given by ...
A = 1/2bh
36 = 1/2(2h)(h) = h²
h = √36 = 6
base = 2h = 12
The base of the isosceles triangle is 12 units, and its height is 6 units.
__
The altitude line makes a right angle with the base, dividing it into two right triangles with sides of length 6. The hypotenuse (s) of each of those is given by the Pythagorean theorem as ...
s = √(6² +6²) = 6√2
Then the perimeter of the triangle is ...
P = base +2s = 12 +2(6√2) = 12(1 +√2) ≈ 28.97 ≈ 29
The perimeter of the triangle is about 29 units.
_____
Additional comment
The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the other two sides.
For an isosceles right triangle, this means the hypotenuse is √2 times the side length. (This is a useful relationship to remember, as it is used a lot in algebra and geometry problems.) The acute angles in such a triangle are 45°.
AtQ
[tex]\\ \rm\hookrightarrow \dfrac{1}{2}(2x)(x)=36[/tex]
[tex]\\ \rm\hookrightarrow x^2=36[/tex]
[tex]\\ \rm\hookrightarrow x=6[/tex]
Base=12Apply Pythagorean theorem
[tex]\\ \rm\hookrightarrow H^2=6^2+6^2=36+36=72\implies H=8.5[/tex]
Perimeter
2(8.5)+12=17+12=29unitsThe box of cereal used to contain 16 ounces of cereal. The box now holds 12 ounces of cereal what is the percent decrease?
a ______ is a line that is perpendicular to a line segment and intersects the line segment at its midpoint?
Answer:
Perpendicular Bisectors
Step-by-step explanation:
Recall that a perpendicular bisector intersects a line segment at its midpoint and is perpendicular.
