The answer will be t=-35Sin{[tex]\pi[/tex]/6m)+55 average daily temperature, t, in degrees Fahrenheit for a city as a function of the month of the year.
What is temperature?Temperature is the degree or intensity of heat present in a substance or object, especially as expressed according to a comparative scale and shown by a thermometer or perceived by touch.
For the equation: 35cos(pi/6(m+3)+55)
Simplify it by multiplying pi/6 in the bracket values:
[tex]=35 Cos (\dfrac{\pi m}{6}+\dfrac{3\pi }{6}+55)[/tex]
[tex]=35 Cos(\dfrac{\pi m}{6}+55+\dfrac{\pi}{2})[/tex]
Now suppose x = m.pi/6+55, while pi/2 = 90⁰
As per law cos(x+90⁰)=-sin(x)
so,cos((m.pi/6)+55+90⁰=-sin((m.pi/6)+55)
Hence answer will be
[tex]=-35Sin(\dfrac{\pi m}{6}+55)[/tex]
The law cos(x+90⁰)=-sin(x) can be proved by putting y=90⁰ in the following formula,
cos(x+y)=cos(x).cos(y)-sin(x).sin(y)
Hence the answer will be t=-35Sin{[tex]\pi[/tex]/6m)+55 average daily temperature, t, in degrees Fahrenheit for a city as a function of the month of the year.
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Answer:
A
Step-by-step explanation:
t = negative 35 sine (StartFraction pi Over 6 EndFraction m) + 55
Find BC in angle ABC
Round to the nearest tenth.
BC=?
Answer:
BC ≈ 18.7
Step-by-step explanation:
using the sine rule in Δ ABC
[tex]\frac{BC}{sinA}[/tex] = [tex]\frac{AC}{sinB}[/tex] ( substitute values )
[tex]\frac{BC}{sin67}[/tex] = [tex]\frac{20}{sin80}[/tex] ( cross- multiply )
BC × sin80° = 20 × sin67° ( divide both sides by sin80° )
BC = [tex]\frac{20sin67}{sin80}[/tex] ≈ 18.7 ( to the nearest tenth )
Find the measure of the exterior ∠1.
A. 60°
B. 80°
C. 150°
D. 90°
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Measure of an exterior Angle of a triangle is sum of two opposite interior angles of the same triangle ~
that is :
[tex]\qquad \tt \dashrightarrow \: \angle1 = 60 + 30[/tex]
[tex]\qquad \tt \dashrightarrow \: \angle1 = 90 \degree[/tex]
So, D is the correct choice ~
Step-by-step explanation:
As the sum of all angles of triangle is 180°
and we have been given 2 angles i.e 30° and 60°
So, Third angle will be 90°
Angle 1 = 180°-90° (as the value of angle made by a straight line is 180°)
Angle 1 = 90°
What is the difference? startfraction x over x squared 3 x 2 endfraction minus startfraction 1 over (x 2) (x 1) endfraction startfraction x minus 1 over 6 x 4 endfraction startfraction negative 1 over 4 x 2 endfraction startfraction 1 over x 2 endfraction startfraction x minus 1 over x squared 3 x 2 endfraction
Answer:
choose D
Step-by-step explanation:
x/(x²+3x+2) - 1/[(x+2)(x+1)]
x² + 3x + 2 = x² + 2x + x + 2
= x(x + 2) + (x + 2)
= (x + 2)(x + 1)
= x/[(x+2)(x+1)] - 1/[(x+2)(x+1)]
= (x-1)/[(x+2)(x+1)]
= (x-1)/(x²+3x+2)
(09.06 MC) A mechanic gives a survey to all of his customers asking them to rate the quality of the service they received. He then keeps track of how many customers return to the shop for additional services during the next six months. Last year, the results showed that of the customers who reported high quality service, 20% returned for additional services. What conclusion can be drawn from this study? (6 points)
Answer: Most customers who rate their service as high quality return for additional services.
Step-by-step explanation: just took the test :)
suppose there are 30 bacteria in a bottle .the number of bacteria doubles every hour.
how many will there be after 7 hours?
is given that the number of bacteria doubles every hour.
Therefore, the number of bacteria after every hour will form a G.P.
with first term (a=30) and common ratio (r=2)
∴a
3
=ar
2
=(30)(2)
2
=120
Therefore, the number of bacteria at the end of 2nd hour will be 480.
a
5
=ar
4
=(30)(2)
4
=480
and a
n+1
=ar
n
=(30)(2)
n
Thus the number of bacteria at the end of nth hour will be (30)(2)
n
please helpppppp meeeee!
Answer:
It's 1 pint
Step-by-step explanation:
If you look up how many cups are in a pint it says 2 and the liquid is filled up to the line of 2 cups
Please answer this question for points.
16 x 7 x 15 + 11 + 17
Try Ur best and take Ur time.
Answer:
1,708?
Step-by-step explanation:
pretty sure this is the answer
You are a payroll supervisor. You need to summarize work hours for an employee. The number of hours the
employee worked each week for seven consecutive weeks were 38, 37. 5, 38. 25, 35. 75, 39. 5, 39. 5, and 38. 5.
What, approximately, is the mean number of hours this employee worked each week for the seven weeks?
O 37. 63
O 37. 92
O 38. 14
O 38. 25
39. 5
Answer:C. 38.14
Step-by-step explanation:
The required mean of the given data is given as the employee worked 38.14 hours through 7 weeks.
Given that,
The number of hours the employee worked each week for seven consecutive weeks was 38, 37. 5, 38. 25, 35. 75, 39. 5, 39. 5, and 38. 5.
The mean of the values is the ratio of the total sum of values to the number of values.
here,
According to the question,
Mean = Sum of the working hours/number of weeks
Mean = 38 + 37. 5 + 38. 25 + 35. 75 + 39. 5 + 39. 5 + 38. 5 / 7
Mean = 267/7
Mean = 38.14
Thus, the required mean of the given data is given as the employee worked 38.14 hours through 7 weeks.
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The dimensions of an isosceles triangle are shown.
28.4 m
25.6 m
12.3 m
*not drawn to scale
To the nearest tenth, what is the area of the triangle?
O A. 157.4 m2
OB. 314.9 m2
OC. 349.3 m2
OD. 363.5 m2
Answer:
B. 314.9 m2
Step-by-step explanation:
Can someone please help ASAP An online video store charges a monthly fee of $10, plus $2 for each video rental. Which graph below best
represents the relationship between the number of video rentals and the total monthly cost?
Using linear function concepts, it is found that graph A is the one that best represents the relationship.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem, there is a fixed fee of $10, plus a fee of $2 per movie, hence m = 2, b = 10, and the function is given by:
y = 2x + 10.
Due to the y-intercept of y = 10, that is, when x = 0, y = 10, graph A is the one that best represents the relationship.
More can be learned about linear function concepts at https://brainly.com/question/24808124
What is the value of ?
Enter your answer in the box.
___cm
Answer:
5
Step-by-step explanation:
What is the area of the triangle if the base is 5 centimeters and the height is 6 centimeters?
Answer:
15cm²
Step-by-step explanation:
Formula of a triangle:
½ × base × height
= ½ × 5 × 6
= 15 cm²
Hope this helps =)
Answer:
15 cm squared :)
Step-by-step explanation:
Area of triangle: b(h)/2
Now lets solve!!
5(6)/2
30/2
15
Have an amazing day!!
Plerase rate and mark brainliest!!
PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!
Answer:
315°
Step-by-step explanation:
∠HCG = 180° - 60° - 75° = 45°∠DCH = 360° - 180° - 45° = 135°Finding m∡DHE
∠DCH + ∠HCG + ∠GCF + ∠ECF135° + 45° + 75° + 60°180° + 135°315°Answer:
m∡DHE = 315°
Step-by-step explanation:
Angles around a point always add up to 360°.
⇒ m∡DHE = 360° - m∡ED
= 360° - 45°
= 315°
Bob and Ted are in the plumbing business. Bob can do the plumbing hook-up for a new house in 4 hours; Ted does the same job in 6 hours. If they work together, how long will they take to hook up the plumbing in one house? 5 hours 2.4 hours 2.1 hours
Answer:
5 Hours
Step-by-step explanation:
Bob needs atleast 4 hours to do his work
Ted needs atleast 6 hours
Bob is going to help ted speed up a little
2.4 and 2.1 are to fast because bib needs 4 hours and ted needs 6 so the meet in the middle and get 5.
Hope this helps!
Experimental & theoretical probability
Answer: I don't see the paper very well.
Step-by-step explanation:
which series of transformation shoes that triangle A is congruent to triangle D
You didnt put any images
Jaden is studying abroad for a semester.
He can choose the first semester or second
semester, then choose France, Spain,
Germany, Italy, or Japan.
Using the Fundamental Counting Theorem, it is found that he has 10 possible options to choose from.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem:
For the semester, he has 2 possible options, hence [tex]n_1 = 2[/tex].For the country, he has 5 possible options, hence [tex]n_2 = 5[/tex].The total number of options is given by:
N = 2 x 5 = 10.
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What is the quotient of 4.56 × 109 by 6.23 × 1011?
The quotient is
times 10 to the
power.
Answer:
7.319 x 10^-3
Step-by-step explanation:
4.56 * 10^9 / 6.23 * 10^11 = .7319 x 10^-2
Answer:
The quotient is 7.3194 times 10 to the -3 power.
Step-by-step explanation:
Got the question right. EDGE 2022.
Which statements are true? select three options. (the formula for the area of a triangle is a = one-halfbh.) bc = 6 cm ac = 5 cm ba = 4 cm the perimeter of triangle abc = 12 cm. the area of triangle abc is one-third the area of triangle def.
The area of the triangle is the half of the product of base and height then the correct option is A.
What is the triangle?Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.
Points A, B, and C are midpoints of the sides of the right triangle DEF.
Then the area of the triangle is given as
Area of the triangle = half of the product of base and height
That can be written as
[tex]\rm Area = \dfrac{1}{2} \times b \times h[/tex]
Thus, the correct option is A.
More about the triangle link is given below.
https://brainly.com/question/25813512
Answer:
B,C,D
Step-by-step explanation:
What is the answer ? Please help
Answer:
sqrt2/sqrt3; 1/sqrt3; sqrt5/2
Step-by-step explanation:
to solve this equation you can basically put paranthesis squared around all of the options
(sqrt2/sqrt3)^2 becomes simply 2/3
(1/sqrt3)^2 becomes simply 1/3
(pi/3)^2 becomes a decimal that is not rational
[(sqrt5)/2]^2 becomes simply 5/4
the first, second, anad last are all rational
An investment of $1,500 is earning 7% simple interest each year how much will the investment be worth after one year
Answer:
1500 * 0.07 = 105
105 + 1500 = 1605
Step-by-step explanation:
Write the equation of a line with a slope of 5 and a y-intercept of (0, 3). Write the equation in slope-intercept form.
ASNWER QUICK WILL MARK BRAINLESIT! WORTH 84 BRAINLY POINTS THANKS
A 56°
B 73°
C : 51°
D 107
Answer:B 73
Step-by-step explanation:
Which of the given set of angles CANNOT form a right triangle?
a
30º, 90º, and 60º
b
90º, 45º, and 45º
c
22º, 22º, and 136º
d
35º, 55º, and 90º
Answer:
The answer for your question is C. 22°, 22°, and 136°.
Explanation:
A right triangle will always have one angle that is 90°.
All of the other options have a 90° angle, so your answer is C.
Hope this helps!
9x10^4 in standard form
Answer:
90,000
Step-by-step explanation:
So a scientific notation is written as [tex]N*10^k[/tex]
So in this scientific notation its just equivealent to saying
[tex]9*10^4\\9*(10*10*10*10)\\9*10,000\\90,000[/tex]
Brianna is graphing the function f(x) = x2 6x 5. what x-intercepts should brianna use to graph f(x)? –5 and –1 –5 and 1 –1 and 5 1 and 5
The value of the x of the equation x² + 2x = 24 is negative 5 and negative 1, then the correct option is A.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The expression equation is given below.
f(x) = x² + 6x + 5
On factorization, we have
x² + 6x + 5 = 0
x² + 5x + x + 5 = 0
(x + 5)(x + 1) =0
x = -1, -5
The value of x is –5 and –1.
More about the factorization link is given below.
https://brainly.com/question/6810544
Answer:
A) -5 and -1
Step-by-step explanation:
Got it right on edge!
What is the distance between A(7, 4) and B(2, -8)?
Answer:
13 units
Step-by-step explanation:
Distance formula:
d = [tex]\sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
In this problem,
d = [tex]\sqrt{(7 - 2)^2 + (4 - -8)^2}[/tex]
d = [tex]\sqrt{(5)^2 + (12)^2}[/tex]
d = [tex]\sqrt{25 + 144}[/tex]
d = [tex]\sqrt{169}[/tex]
d = 13
Which pairs of expressions below are equivalent? (Select all that apply)
5x + 3x − 2y and −2y + 8x
6x − 8x and 3(2x − 4y)
4x − 5y and 5y − 4x
5(2x − 3y) and 10x − 3y
x + y + x + y and 2( x + y )
Answer:
5x+3x-2y and -2y+8x
X+y+X+y and 2(X+y)
please help! its do by 3:55pm! im only at 20! johns test averages 69,86,100,and 105 what is his average?
Answer:
90
Step-by-step explanation:
In order to find the average of something, you add all the numbers and then divide it by how many numbers there were.
69+68+100+105=360
360 ÷ 4 = 90
John's average is 90.
Brainliest please?
Help please i don't want to get held back
Let total data be x GB
then
4% of x = 1.2GB
4% × x = 1.2
0.04 x = 1.2
x = 1.2 / 0.04
x = 120 ÷ 4 = 30 GB