Answer:
sec ∅ = 5/4
cosec ∅ = -5/3
cot ∅ = -4/3
Tan ∅ = - 3/4
sin ∅ = -3/5
cos ∅ =4/5
Step-by-step explanation:
Given : -4y = 3x , x > 0
i.e. 3x + 4y = 0 , x >0
4y = -3x ∴ y = - 3/4 x
The values of trigonometric functions of ∅ are
Tan ∅ = opposite / adjacent
= - 3/4 ( given that y = slope which is = Tan ∅ )
now we will find the hypothenuse ( c )
c^2 = a^2 + b^2 = 9 + 16 = 25
therefore ; c = √25 = 5
hence the trig functions are :
sin ∅ = -3/5
cos ∅ =4/5
sec ∅ = 5/4
cosec ∅ = -5/3
cot ∅ = -4/3
help please
Marcie heated a beaker of water in science class. The scatter plot shows the temperature (y), in degrees Celsius, of the water based on the number of minutes (x) she heated the water.
Part A: The line of best fit for this data is
y = 5.3x + 23. Use this equation to make a conjecture about the temperature of the water in the beaker if heated for 6 minutes.
A.
The water will be about 71⁰C.
B.
The water will be about 55⁰C.
C.
The water will be about 32⁰C.
D.
The water will be about 50⁰C.
Part B: What is the y-intercept in the line of best fit? What does the y-intercept represent in the scatter plot?
A.
5.3; the amount the temperature increases each minute
B.
5.3; the temperature of the water before it is heated
C.
23; the amount the temperature increases each minute
D.
23; the temperature of the water before it is heated
Answer:
Part AGiven function
y = 5.3x + 23The value of y at x = 6:
y = 5.3*6 + 23 = 54.8° CThe closest choice is :
B. The water will be about 55⁰CPart BThe y-intercept is the value of y when x = 0
y = 5.3*0 + 23 = 23° CThis is the initial temperature at zero minute time, before heating is applied.
Correct choice is:
D. 23; the temperature of the water before it is heatedSolve for x. Round your answer to the nearest tenth (0.1)
Answer:
[tex]x\approx 7.0[/tex]
Step-by-step explanation:
Since we are given a right triangle, we can use right trigonometric ratios.
x is the opposite side to our angle. 10 is the adjacent side to it. Thus, we can use the tangent ratio:
[tex]\displaystyle \tan(\theta^\circ)=\frac{\text{opposite}}{\text{adjacent}}[/tex]
Substitute:
[tex]\displaystyle \tan(35^\circ)=\frac{x}{10}[/tex]
Solve for x:
[tex]x=10\tan(35^\circ)[/tex]
Use a calculator:
[tex]x=7.0020...\approx 7.0[/tex]
x=7 yards
Answer:
Solution Given:
Opposite = x
base=10yards
and angle is 35°
we know that
relationship between opposite and base is given by Tan angle
so
Tan 35°= opposite/base
Tan 35°*10=x
x= 7.002
x≈7 yards
Pls solve and explain
Answer:
1684 2/3
Step-by-step explanation:
This is a right trapezoid you can break this down into a rectangular prism and a triangle find the area of those two shapes separately then add them together to get your total volume
Aubree invested $27,000 in an account paying an interest rate of 0.0825% compounded monthly. Addison invested $27,000 in an account paying an interest rate of 0.08625 % compounded continuously. After 20 years, how much more money would Addison have in her account than Aubree, to the nearest dollar?
Answer:
A = $27,445.50
Step-by-step explanation:
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 0.0825%/100 = 0.000825 per year.
Solving our equation:
A = 27000(1 + (0.000825 × 20)) = 27445.5
A = $27,445.50
The total amount accrued, principal plus interest, from simple interest on a principal of $27,000.00 at a rate of 0.0825% per year for 20 years is $27,445.50.
Answer: $11741
Step-by-step explanation:Rate 1: 8
4
1
%=8+1/4=
\,\,8.25\%\rightarrow 0.0825
8.25%→0.0825
\text{Rate 2: }8\tfrac{5}{8}\%=8+5/8=
Rate 2: 8
8
5
%=8+5/8=
\,\,8.625\%\rightarrow 0.08625
8.625%→0.08625
\text{Calculate Final Amount for Aubree}
Calculate Final Amount for Aubree
\overline{\phantom{\text{Calculate Final Amount for Aubree}}}
Calculate Final Amount for Aubree
\text{Compounded Monthly:}
Compounded Monthly:
A=P\left(1+\frac{r}{n}\right)^{nt}
A=P(1+
n
r
)
nt
P=27000\hspace{35px}r=0.0825\hspace{35px}t=20\hspace{35px}n=12
P=27000r=0.0825t=20n=12
A=27000\left(1+\frac{0.0825}{12}\right)^{12(20)}
A=27000(1+
12
0.0825
)
12(20)
A=27000(1.006875)^{240}
A=27000(1.006875)
240
A=139796.9278
A=139796.9278
\text{Calculate Final Amount for Addison}
Calculate Final Amount for Addison
\overline{\phantom{\text{Calculate Final Amount for Addison}}}
Calculate Final Amount for Addison
\text{Compounded Continuously:}
Compounded Continuously:
A=Pe^{rt}
A=Pe
rt
P=27000\hspace{35px}r=0.08625\hspace{35px}t=20
P=27000r=0.08625t=20
A=27000e^{0.08625(20)}
A=27000e
0.08625(20)
A=27000e^{1.725}
A=27000e
1.725
A=151538.0678
A=151538.0678
\text{How much more money Addison has:}
How much more money Addison has:
151538.0678-139796.9278
151538.0678−139796.9278
a bag contains 10 marbles. Four of them are red, three blue, two white, and one yellow. A marble is drawn at random. What is the probability that it is red? Make sure to reduce your answer. 25 points if you answer help pls :/
Answer:
40% chance
Step-by-step explanation:
4 marbles out of 10 are red. 4/10= 0.4= 40%
Answer: 2/5
Step-by-step explanation: If there're 10 marbles and 4 of them are red, then the probability of it being red is 4/10.
To reduce or simplify it, you must divide both 4 and 10 by 2, leaving you with 2/5.
:)
Which is a graph of a proportional relationship? NO BITLY ITS A SCAM I KNOW IT
Answer:
c
Step-by-step explanation:
find the 15th term of the arithmetic sequence 2x+2, 8x-3, 14x-8,...
Answer:
a₁₅ = 86x - 68
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 2x + 2
d = a₂ - a₁ = 8x - 3 - 2x - 2 = 6x - 5 , then
a₁₅ = 2x + 2 + 14(6x - 5)
= 2x + 2 + 84x - 70
= 86x - 68
A man traveled 108 km at an average speed of 72 km/h. He returned at an average speed of 54km/h. What was his time for the whole journey?
Find the sum of the parts of a given pizza.
1. 11/7. 2. 12/5
The sum of the parts 11/7 and 12/5 of pizza is 139/35.
It is given that the parts of pizza are:
[tex]1. 11/7\\2. 12/5\\[/tex]
It is required to find sum of the parts of pizza.
What is a fraction?Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called denominator.
Calculating the sum of the parts of pizza:
[tex]=\frac{11}{7}+\frac{12}{5}[/tex]
[tex]=\frac{139}{35}[/tex]
Thus, the sum of the parts 11/7 and 12/5 of pizza is 139/35.
Learn more about the fraction here:
https://brainly.com/question/1301963
Which data set has a variation, or mean absolute deviation, similar to the data
set in the given dot plot?
Answer:
d
Step-by-step explanation:
I took the test .......................
I NEED HELPP PLS!!!!!!!!!!!!!!!!!!!
Answer:
270
Step-by-step explanation:
The formula for finding the area of a triangle is base · height ÷ 2, or [tex]\frac{bh}{2}[/tex]
After plugging in the numbers given to the formula, we find that the area of the triangle is 27.
Then to account for the length, we multiply the area of the triangle by 10.
This gets us to 270.
whats the area of this square help me, please
Answer:
The area is 36m^2
Step-by-step explanation:
6×6=36
Answer:
6 x 6 = 12
Step-by-step explanation:
area is length x width and all sides on a square are congruent ( so all of the sides are 6)
29. Consider the equation:
3(1 + px) = 12x
For what value of p does the equation have no solution?
A 3
B. 4
C. 12
D. 36
Answer:
The answer is actually B.
Step-by-step explanation:
3(1+4x)=12x
(3)(1)+(3)(4x)=12x(Distribute)
3+12x=12x
12x+3=12x
Step 2: Subtract 12x from both sides.
12x+3−12x=12x−12x
3=0
Step 3: Subtract 3 from both sides.
3−3=0−3
0=−3
(Can't be negative)
The present, past, and future of speak is _____.
speaking, spoke, will speak
speak, speaked, will speak
speak, spoken, speaking
speak, spoke, will speak
Answer:
speaking, spoke, will speak
Step-by-step explanation:
its just how english works
Answer:
speaking, spoke, will speak
Step-by-step explanation:
Find the value of x.
Answer:
34
Step-by-step explanation:
Evaluate (14 - 2) – 3: (2.3) - 22
A
0
В
2
с
20
D
22
Step-by-step explanation:
(14-2) - 3:(2.3)-22= 12- 1.3-22= -11.3
A toy train set has a circular track piece. The inner radius of the piece is 6 cm. One sector of the track has an arc length of 33 cm on the inside and 55 cm on the outside. What is the width of the track?
Answer:7cm difference
Step-by-step explanation:when the circumference is 55 the diameter is 17 when the circumference is 33 the diameter is 10
17-10=7
Answer:4
Step-by-step explanation:
find the value of given expression !!
[tex] \sqrt{23 \times 3 \: -2 } [/tex]
Answer:
sqrt(67)
Step-by-step explanation:
sqrt(23×3-2)
sqrt(69-2)
sqrt(67)
Step-by-step explanation:
√{23×3-2}=√{69-2}=√67 is your answer
I will give brainliest to whoever gives correct answer first!
A short term loan of £60000 is taken for 15 weeks. Simple interest is charged at 17.5% p.a.
How much needs to be repaid altogether?
Answer:
Kahe be kaha se ba see u online ba hahahaha
Answer:
$ 100,000,000,000 is required to repay
plz help on this one
Answer:
I beleive is it B "The domain is the set of real numbers great then 2."
Answer:
a
Step-by-step explanation:
my aunt is a teacher she told me the answer
PLEASE HELPPPPP ASAP Which is an absolute value function g(2) that represents both horizontal and vertical transformations of the parent function f(x) = |x|?
A. g(x) = 3|x|+ 10
B. g(x) = – 5|x - 7|
C. g(x) = |x+3| + 4
D. g(x) = 2| x- 44|
Answer:
C
Step-by-step explanation:
This graph goes 3 to the left and 4 up. The only one with horizontal and vertical transformations.
find 2/3 - 8/9 how can you write the expression using a common denominator
Help ASAP I’ll mark you as brainlister please HELPP ik crying I feel so useless pleasee
Answer:
439.8 ft²
Step-by-step explanation:
Can someone please tell me how to find the surface area of shapes please I'm literally crying I have a quiz due in 10 minutes and I'm gonna fail please help
Answer:
No Problem
Step-by-step explanation:
Answer:
Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.
Step-by-step explanation:
Surface area means, basically the outside of the shape, faces is a fancy way schools use to say sides, for example a cuboid, these look like rectangles but 3D, It has 6 "faces" or sides. And it also has 12 edges. With my school, they usually fill the 3D shapes with cubes to have a way to estimate the size, or they might write it on the sides like 2D shapes. Prisim means a 3D shape that has 2 faces that are the exact same, like a 2D rectangle. Which is a look-alike to the cuboid. SA=2lw+2lh+2hw might look , difficult but it means SA=surface answer, 2LW means length with, 2LH means length hight, and 2HW means hight width.
Ill give brainliest if answered correctly!
y x 6 = y for 2/3
Answer:
4
Step-by-step explanation:
The China Company offers a trade-discount rate that is 4 times the complement of the trade-discount rate. If the list price is $58.75, what is the trade discount? What is the net price?
Answer: See explanation
Step-by-step explanation:
Since the complement is the difference between 100% and discount rate. Since the China Company offers a trade-discount rate that is 4 times the complement of the trade-discount rate. Therefore, the discount rate will be 80% and the complement 20%.
Therefore, the trade discount will be:
= List price × Trade discount rate
= $58.75 × 80%
= $58.75 × 0.8
= $47
Net price = List price - Trade discount
= $58.75 - $47
= $11.75
If x = 4, y = 3, z = -5, then evaluate: z - z + x - y
A pair of jeans regularly sells for $24.00. They are on sale for 25% off. What is the sale price of the jeans.
Answer:
24 x 25/100 = 6
of means multiplication so you are multiplying the percent to the regular price. Always consider cent as a hundred and a percent out of 100 in fractions.
Answer:
18 dollars
Step-by-step explanation:
half of 24 is 12 and half of that is 6 so 24-6=18 :)
a little helps? frvvrfew3
Answer:
Step-by-step explanation:
x ≤ 165
Hope that helps!
Identify the vertex of the parabola
Options:
A. (-1,0)
B. (0,-1)
C. (0,1)
D. (1,0)