Answer:
During the month of 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]
Applying the inverse cosine to both sides:
[tex]\cos^{-1}{(\cos{(\frac{\pi}{6}(m-6))})} = \cos^{-1}{(\frac{10}{27})}[/tex]
[tex]\frac{\pi}{6}(m-6) = 1.19[/tex]
[tex]\pi(m-6) = 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
8.27 + 1 = 9.27, so during the month of September.
Answer:
B. September
Step-by-step explanation:
Correct on Edge 2021
Can you help me please due today?...
Triangle ABC was dilated around the origin by a scale factor of 2. The
vertices of the triangle are A' (0,6), B' (4,0) and C' (6,2). What are the
coordinates of the vertices of the original triangle?
Answer:
8,4
Step-by-step explanation:
Paul earned $72,000 last year. If the first $30,000 is taxed at 10% and income above that is taxed at 19%,
how much does Paul owe in tax?
Answer:
10,980
Step-by-step explanation:
My brain doesn't feel like working today ;-;
I just need the equation, not the answer
Answer:
area = lengh x width is that enough of the formula? :D
Step-by-step explanation:
I'll give you the rest, just in case :P My brain got tired at the break before spring, here is the rest
400 = (L+30) X w
400 = 10+30 x 10 ( just b/c I can see 40 x 10 would be 400, calculus could also figure this out for us, but... that would be the minimum fencing he needs to buy and this questions isn't asking that, just make it fit on the back of his house, which we are not given, so just make up something, I used 10 b/c it was convenient )
400 = 40 x 10
2 sides are 40 , and one side is 10
so 90' of fence is needed
Which weighs more: a puppy that weighs 8.5 kilograms or a baby that weighs 11 pounds? Explain your reasoning.
Answer:
a baby weight more because the baby will grow and will weight more then a puppy
Step-by-step explanation:
Answer:
A puppy that weights 8.5 kilograms weighs more.
Step-by-step explanation:
A puppy that weights 8.5 kilograms weighs more. Why? Well if you convert the 11 pounds from the baby to kilograms it would equal about 5 kilograms. The puppy's weight in kilograms is 8.5 and its weight in pounds is 18.7, while the baby's weight in kilograms is 5 and it's weight in pounds is 11.
Puppy's Weight Kilograms: 8.5
Puppy's Weight Pounds 18.7
Baby's Weight Kilograms: 5
Baby's Weight Pounds: 11
Weight in Kilograms: Puppy: 8.5 > Baby: 5
Weight in Pounds: Puppy: 18.7 > Baby: 11
Therefore, the puppy is heavier.
(If this answer was helpful please mark me brainliest)
9) 67% of what is 86
Answer:
57.62
Step-by-step explanation:
Answer:
The answer is 57.62
Step-by-step explanation:
Cross multiply x/86 = 67/100 and then get 100x = 5762
divide both sides by 100 then you get 57.62
Plssss help
•PQ
•PR
•PS
•QT
Answer:
=>. PQ
=> PQ is the altitude of this given traingle .
=>. because it is making 90° angle with QR
do you guys know how to do this i need help
Select Yes or No to indicate whether each value of x is a solution to the given equation.
3/x-1= x + 1
Yes No
x= -2
x=1
X=2
Answer:
x = -2 YES
x = 1 NO
x = 2 YES
Step-by-step explanation:
Hope this helps <3
A pack of gum cost $0.80. If the tax is an additional 5%, what is the total INCLUDING
tax?
Answer:
$0.84 I think is the answer
At Grayson's Pancake House there are 86 dirty coffee mugs and 774 clean coffee mugs. What percentage of the coffee mugs at the pancake house are dirty?
Answer:
10%
Step-by-step explanation:
774+86=860
86/860=d/100
860d=8600
8600÷860=10
Hope this helps
What is the slope of the line?
Answer:
the slope is 3/2
Step-by-step explanation:
rise/run
Answer:
3/2
Step-by-step explanation:
You need to find the rise/run
for a right triangle if a = 11in , c = 15 in find b
Quickkk please help
Answer:
[tex] \huge\boxed{ \boxed{ \sf{2 \sqrt{26} }}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:Pythagoras theoremPEMDAStips and formulas:[tex]\sf Pythagoras\: theorem:\\ \sf a²+b²=c²[/tex]given:a=11 inc=15 inlet's solve:[tex] \sf step - 1 : make \: b \: the \: subject \: of \: the \: equation[/tex]
[tex] \sf \: shift \: {a}^{2} \: to \: the\: left \: hand \: side \: and \: change \: its \: sign : \\ \tt {b}^{2} = {c}^{2} - {a}^{2} [/tex][tex] \sf squre \: root \: both \: sides : \\ \tt\sqrt{ {b}^{2} } = \sqrt{ {c}^{2} - {a}^{2} } \\ \tt \: b = \sqrt{ {c}^{2} - {a}^{2} } [/tex][tex] \sf step - 2 : sustitute \:the \: value \: of \: c \: and \: a \: then \: simplify[/tex]
[tex] \sf substitute \: the \: given \: value \: of \: c \: and \: b : \\ \tt b = \sqrt{ {15}^{2} - {11}^{2} } [/tex][tex] \sf simplify \: squres : \\ \tt b = \sqrt{225 - 121} [/tex][tex] \sf substract : \\ \tt b = \sqrt{104} [/tex][tex] \sf simplify \: redica l : \\ \tt b = \sqrt{ {2}^{2} \times 26 } \\ \tt \therefore b = 2 \sqrt{26} [/tex]PLS HELP
GIVING BRAINLIEST
The area of the triangle below is 3/4 square feet. What is the length of the base? Express your answer as a fraction in simplest form.
6/5 ft is the height.
Answer:
b= 5/4
Step-by-step explanation:
A=1/2bh
3/4=1/2(b)(6/5)
3/4=6/10b
3/4=3/5b (You can simplify 6/10 to 3/5 by dividing by 2)
3/5÷3/4=b
5/3x3/4=b
15/12=b (You can simplify 15/12 to 5/4 by dividing by 3)
5/4=b
Maria earns $603.75 for 35 hours of work. What is her rate of pay per hour?
I legit forgot how to divide for some reason Can someone drop down the work for this question?
Answer:
17.25
Step-by-step explanation:
divide the pay by hours worked
The following data points represent the number of attendees at each of the dance events hosted by Cloy Events
Sort the data from least to greatest.
32
34
35
35
39
40
44
47
Find the interquartile range (IQR) of the data set.
Answer:
7.5
Step-by-step explanation:
35+39/2
74/2
37
Q1=34+35/2
Q1=69/2
Q1=34.5
Q3=40+44/2
Q3=84/2
Q3=42
42-34.5
7.5
What is 40 over 30 in decimal form
Answer:
[tex]\frac{40}{30}[/tex] = 1.33333
Infinite 3's
a 20 ounce box of cereal costs $3.60. what is the unit rate
A bag contains 8 blue marbles, 11 green marbles, and 7 red marbles. Which is the probability of drawing a green marble, replacing it AND then drawing a red marble from the bag?
A. 18
B. 77/676
C. 9/13
Answer:
I think it would be C. 9/13.
Answer:
B
Step-by-step explanation:
11/26 x 7/26 = 77/676
#1 Describe the translation (slides) that
maps ABCD onto A'B'C'D'?
Answer: B
Step-by-step explanation: left 6, down 5
Is it A B C or D????
Answer:
what is the question please
PLEASE HELP!!!
In the diagram below, if m1 = 79, find the
measure of each numbered angle.
HELP DUE IN 5 MINS I JUST NEED THE ANSWER
Answer:
2
Step-by-step explanation:
[tex]\begin{cases} -3x -3\:\: for\:\: x<-2\\\\6x -28\: \: for\:\: x\geq 5 \end{cases}[/tex]
f(5) will fall in the interval x≥5 and its corresponding function is:
f(x) = 6x - 28
∴ f(5)= 6*5 - 28 = 30 - 28 = 2
m + 2m + -4m = -5 What is m?
Answer:
m = 5
Step-by-step explanation:
Rewrite problem
m + 2m + -4m = -5
Combine like terms
-1m = -5
Divide -1 on both sides
-1m = -5/-1
m = 5
Check answer
5 + 2(5) +-4(5) = -5
5+ 10 + -20
-5 = -5
Hope this helps :)
4.2.31
Richard and Teo have a combined age of 50. Richard is 14 years older than twice Teo's age. How old are Richard and Teo?
Answer:
4.2.31
Richard and Teo have a combined age of 50. Richard is 14 years older than twice Teo's age. How old are Richard and Teo?
aswer..RICHARD IS 20YEARS ODL
AND TEO IS 9YEARS OLD
Divide 240 g in the ratio 5: 3:4
Answer:
Total weight=240g
Ratio=5:3:4
5x+3x+4x=240
12x=240
x=20
5x=100
3x=60
4x=80
Therefore 100g:60g:80g
look at the pic plsss it’s due today:(
Answer:
the mean is 3.95
median is 2.75
Step-by-step explanation:
I'd say that the mean is the better center, because you need to even it all out. you have one big number compared the rest.
The median is a better center for this data since since that number is the common size of acres not the highest or lowest acre per 1000 residents
PLEASE HELP meeeeeeeeee
Answer:
$3000
Step-by-step explanation:
Look at where the x value is equal to 100 and look at what value the purple line intersects with when it reaches 100
you can see that when the purple hits 100 it is also on the 3000 line
hope this helps<3
What is the answer to this?
Answer:
f(-2)=3(-2)-4
=f(-2)=-10
Use prime factorization to find the LCM and the HCF of 210 and 112
Answer:
HCF = 14
LCM = 1680
Step-by-step explanation:
Factorizing the given values
210 = 2 * 3 * 5 * 7
112 = 2 * 2 * 2 * 2 * 7
Since 2 * 7 is common to both factors
Hence the HCF = 2 * 7 = 14
For LCM, we we will multiply all the prime factors that are in both
LCM = 2* 2 * 2 * 2 * 3 * 5 * 7
LCM = 112 * 15
LCM = 1680
Hence the LCM is 1680