The average high temperature during the hottest month in Beijing, China, is 72°F. The average high temperature during the coldest month in Beijing is 18°F. The function 1 =27 cos( π/6(m-6)) +45, where m represents the number of months after January, models the temperature throughout the year in Beijing. During which monke in the year would the temperature reach 55°F?
- August
- September
- November
- December
(it'll be SEPTEMBER, i just couldn't find the answer for it anywhere else, so here ya gooo.)
Answer:
- September
Step-by-step explanation:
The temperature in Beijing, in m months after January, is given by the following equation:
[tex]T(m) = 27\cos{((\frac{\pi}{6})(m-6))} + 45[/tex]
In which m is the number of months after January.
During which month in the year would the temperature reach 55°F?
We have to find m for which: T(m) = 55. So
[tex]T(m) = 27\cos{((\frac{\pi}{6})(m-6))} + 45[/tex]
[tex]55 = 27\cos{((\frac{\pi}{6})(m-6))} + 45[/tex]
[tex]27\cos{((\frac{\pi}{6})(m-6))} = 10[/tex]
[tex]\cos{((\frac{\pi}{6})(m-6))} = \frac{10}{27}[/tex]
Now, we apply the inverse cosine, on both sides of the equation, to find the value of m.
[tex]\cos^{-1}{\cos{(\frac{\pi}{6})(m-6)}} = \cos^{-1}{\frac{10}{27}}[/tex]
Now, with the help of a calculator, in radians:
[tex]\frac{\pi}{6}(m-6) = 1.19[/tex]
[tex]\pi m - 6\pi = 6*1.19[/tex]
[tex]\pi m = 6*1.19 + 6 \pi[/tex]
[tex]m = \frac{6*1.19 + 6 \pi}{\pi}[/tex]
[tex]m = 8.27[/tex]
8.27 months after January, since 8.27 + 1 = 9.28, it happens during the month of September.
Answer: September
Step-by-step explanation:
Edge
The ratio of length to width of a rectangle is 5:2. If the perimeter of the rectangle is 42, what are the length and width of the rectangle?
Answer:
The ratio of length to width of a rectangle is 5:2,
So let take length is 5y and width is 2y.
If the perimeter of the rectangle is 42
perimeter of the rectangle = 42
2(length + width) =42
2(5y + 2y) =42
2(7y)=42
14y =42
y= 42/14
y= 3
so,
length is 5y = 5x3 =15
width is 2y. = 2x3 =6
Step-by-step explanation:
Help i dont care about the point
The price of a gallon of unleaded gas was $2.87 yesterday. Today, the price fell to $2.82. Find the percentage decrease. Round your answer to the nearest tenth of a percent.
Answer:
1.7$
Step-by-step explanation:
Given
original price = $2.87
New price = $2.82
Percentage decrease = original price-New price/New price × 100
Percentage decrease = 2.87-2.82/2.87× 100
Percentage decrease = 0.05/2.87 × 100
Percentage decrease = 5/2.87
Percentage decrease = 1.7%
Is 1/4 greater than or less than 3/9
Answer: Less
Step-by-step explanation: Ok lets make them both have a common denominator. This is 36. So 1/4 is going to be 9/36 and 3/9 is going to be 12/36
Answer:
1/4 is less than 3/9.
Step-by-step explanation:
Take these fractions into decimal format.
1/4 = 0.25
3/9 = 0.33.
From this, 0.25 < 0.33
So, 1/4 < 3/9, or 1/4 is less than 3/9.
he table shows one point from the given graph. How could you find more ordered pairs to create a graph and table of equivalent fractions? Check all that apply.
Include the point (0, 0), which is on every graph of equivalent ratios.
Multiply both 2 and 3 by 4.
Multiply 2 by 2 and 3 by 3.
Start at the point on the grid. Move right 2 and up 3 and plot the point.
Multiply 2 by 3 and 3 by 2.
Ufncunniufncfcnnuunr please heLlLpPpPpPpPppOpPp
Answer:
D) 546 cubes
Step-by-step explanation:
Base: 2 1/6 x 1 1/6 =
13/6 x 7/6 =
91/6
This means 91 cubes that are 1/6 for the base.
91x6=546
simplify 3c÷c²-d²-3d÷d²-c²
Two squares are similar. The first square has sides that measure 4 inches, and the second square has sides that measure 12 inches. The scale factor used to get from the first square to the second one is
Answer:
i pretty sure its three
Step-by-step explanation:
SOMEONE PLEASE HELP ME ASAP THIS IS ALMOST DUE ILL MARK BRAINLIEST!!!!
Answer:
I think it's D cause it says less than 3 and all possible ways, so that's the only one that makes sense to me.
Solve the square root
Answer:
x = 14
Step-by-step explanation:
We need to solve the given expression.
[tex]\sqrt{x+2}+4=0[/tex]
Subtract 4 from both sides,
[tex]\sqrt{x+2}+4-4=-4\\\\\sqrt{x+2}=-4[/tex]
Squaring both sides,
[tex](\sqrt{x+2})^2=(-4)^2\\\\(x+2)=16\\\\x=16-2\\\\x=14[/tex]
So, the value of x is equal to 14.
need help on assignment
Answer:
? = [tex]tan^{-1}[/tex](11/24)
**PUT [tex]tan^{-1}[/tex](11/24) INTO CALCULATOR
Step-by-step explanation:
1. tan(?)=11/24
--> 11/24: SOH, CAH, TOA: sin(x)=opposite side of the x/hypotenuse, cos=adjacent side of the x/hypotenuse, tan=opposite side of the x/adjacent side
2. to get ? of tan you can't divide tangent, you have to do the inverse function, which is [tex]tan^{-1}[/tex], and put it into the calculator
What is the height of the rectangular prism below
Answer:
Below where atleast put a picture then ill answer
Factor this expression.
Answer:
-5(x−2)
Step-by-step explanation:
Hope this helps.
Answer:
-5(2x -x^2)
We divide them both by -5 and put the result in parentheses.
brainliest please :p
A loan for $4,000 is given at a 6% interest rate for 2 years. Find the simple interest owed on the loan.
Answer:
I = $ 480.00
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 6%/100 = 0.06 per year,
then, solving our equation
I = 4000 × 0.06 × 2 = 480
I = $ 480.00
The simple interest accumulated
on a principal of $ 4,000.00
at a rate of 6% per year
for 2 years is $ 480.00.
20 The table shows the linear relationship between the balance of a student's
savings account and the number of weeks he has been saving.
Savings Account
Week
0
1
3
6
8
13
Balance
(dollars)
32
39
53
74
88
123
Based on the table, what was the rate of change of the balance of the
student's savings account in dollars and cents per week?
Record your answer and fill in the bubbles on your answer document.
Answer:7
Step-by-step explanation:it’s 7
Help please and thank u!!!
Divide. Write the answer in simplest form.
1/2 divided by 5/6
Answer:
the answer is 3/5
The model shows the addition expression 18 + 12.
One expression that is equivalent to this sum is _____.
A. 3 + 6 + 4
B. 3 (6 + 4)
C. (3 + 6) 4
D. 3 (6) + 4
Solve for x. Round all answers to the nearest tenth
Answer: 42
Step-by-step explanation:
Which sequence of transformations results in the same transformation?
a translation left 5 units and then a reflection over the x-axis
a translation left 5 units and then a translation down 5 units
a 180° rotation using the origin as the center of rotation
a reflection over the y-axis and then a translation down 5 units
Answer:
Step-by-step explanation:
A reflection over the y-axis and then a translation down 5 units.
factorise and simplify (x^3+x^2+x+1) ÷ (x+1)
PLS YALL FAST
Answer:
x²+1
Step-by-step explanation:
(x+1)(x²+1)/(x+1)
x²+1
Suppose cos(O) = 5/13, Quadrant I. Find sin(O).
A:13/12
B:12/13
C:13/5
D:5/12
Answer:
B. 12/13.
Step-by-step explanation:
Using the identity sin^2 O + cos^2 O = 1:
sin^2 O = 1 - cos^2 O
sin^2 O = 1 - (5/13)^2
= 1 - 25/169
= 169/169 - 25/169
= 144/169
So sin O = √(144/169)
= 12/13.
HELP DUE AT 8:30 I NEED To Do DIS
Answer:
A
Step-by-step explanation:
22) The base of a lampshade is circular. The circumference of the base is 3 times the radius increased by 4.25 inches.
Find the radius of the circular base. Round your answer to the nearest tenth.
Answer:
~1.29 inches
Step-by-step explanation:
C = 2πr
C = 3r + 4.25
2πr = 3r + 4.25
2πr - 3r = 4.25
r(2π-3) = 4.25
r = 4.25/(2π-3) ≈ 1.29
Combine like terms and simplify the expression: -2+6x+4+4x
WILL GIVE BRAINLEST !
hAVE A GOOD DAy :)!
Answer:
10: got cut off
12: 8
Step-by-step explanation:
Select the values of r that make the inequality true.
X> -3
Choose 2 answers:
Plzzz help I will mark you as Brainly if you help me and only if you get me this right
Answer:
Option C and D are the correct answer.
Step-by-step explanation:
If x > -3, then the values which satisfy the inequalities can be represented on a number line which is shown above.
Then the range of values that satisfies the inequalities are numbers to the right of -3 which are: -2, -1, 0, 1, 2, 3, 4, 5 --- up to positive infinity.
From the options provided only 0 and -1 satisfies the range.
Option C and D are correct.
Answer:
I would say c and d to
Step-by-step explanation:
hope that helps
Cindy walks on James Street
and then turns at a right angle to walk on
Hallowell Street. What can you say about
James Street and Hallowell Street?
Two pizza delivery drivers compared the mean numbers of deliveries they completed in one day.
Answer:
B
Step-by-step explanation:
I just did it Red Riot out
Answer:
B
Step-by-step explanation:
I just redid it
f(x)=−x+2, find f(-6)
Hi there!
[tex]\large\boxed{f(-6) = 8}[/tex]
f(x) = -x + 2
Find f(-6) by substituting -6 for x:
f(-6) = -(-6) + 2
Simplify:
f(-6) = 6 + 2
f(-6) = 8