Answers
Answer:
8/15
Step-by-step explanation:
In a right triangle, where B is an acute angle, the tan B is equal to the measure of the side opposite B divided by the measure of the shorter side at B
tanB = 16/30 = 8/15
Related Questions
2. Find the GCF of: - 4x^2 and 28x^3
Answers
Answer: 4x^2
Step-by-step explanation: Multiply that by -1 to get -4x^2 and multiply by 7x to get 28x^3
Subtract and simplify your answer.
7/18-2/9
Answers
Answer:
Step-by-step explanation:
7/18-2/9=7/18-4/18=3/18=1/6
Answer:
1/6.
Step-by-step explanation:
7/18−2/9=?
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(7/18, 2/9) = 18
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(7/18×11)−(2/9×22)=?
Complete the multiplication and the equation becomes
7/18−4/18=?
The two fractions now have like denominators so you can subtract the numerators.
Then:
7−4/18=3/18
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 3 and 18 using
GCF(3,18) = 3
3÷3/18÷3=1/6
Therefore:
7/18−2/9=1/6
A company that manufactures tires produces a tire that has average life span of 65,000 kilometers with a standard deviation of 5,200 kilometers. The distribution of the life spans of the tire is normal. What percent of the tires last at least 60,000 kilometers ?
Answers
Answer:
=> P(X <= 62500) = P((X-mean)/sd < (62500-65000)/3000)
= P(Z < -0.8333)
= 1 - P(Z < 0.8333)
= 1 - 0.7967
= 0.2033
=> P(X > 68500) = P(Z > (68500-65000)/3000)
= P(Z > 1.1667)
= 0.1210
=> P(60500 < X < 69500) = P((60500-65000)/3000 < Z < (69500-65000)/3000 )
= P(-1.5 < Z < 1.5)
= 0.8664
=> for P(X < x) = 0.03, for Z = -1.88
X = mean + Z*Sd = 65000 - (1.88*3000) = 59360
Step-by-step explanation:
I'm not sure if that correct , I really try my best to help
The required percent of tires last at least 60,000 kilometers is about 91%.
What is the standard deviation?The standard deviation mathematical and statistical analysis tool used to explain the diversity of treatments or values around the Mean is the standard deviation,
To solve this problem, we need to use the standard normal distribution. This is a special type of normal distribution where the mean is 0 and the standard deviation is 1. We can use this to standardize the tire life spans by subtracting the mean (65,000 km) and dividing by the standard deviation (5,200 km).
This gives us a standard normal distribution with a mean of 0 and a standard deviation of 1, and we can use a table or calculator to find the probability of a tire lasting at least 60,000 kilometers.
To do this, we need to find the probability that a tire lasts less than 60,000 kilometers and subtract this from 1. This probability is:
P(tire life < 60,000 km) = P(z < (60,000 - 65,000) / 5,200)
Where z is the standardized tire life span, and the probability is calculated using the standard normal distribution.
Calculating this, we find that P(tire life < 60,000 km) = P(z < -1.346) = 0.0913
Therefore, the probability that a tire lasts at least 60,000 kilometers is 1 - 0.0913 = 0.9087 or about 91%.
Learn more about the standard deviation here:
brainly.com/question/14747159
#SPJ2
In August an online store sold 213 graphing calculators during their back to school sale. Since then, sales have increased at a rate of 5% each month. Which function can be used to determine the monthly calculator sales sine August?
Answers
Answer:
[tex]y = 213 + 0.05x[/tex]
Step-by-step explanation:
Given
[tex]Initial = 213[/tex]
[tex]Rate = 5\%[/tex]
The equation to o this is:
[tex]y = intial +rate * weeks[/tex]
[tex]y = 213 + 0.05x[/tex]
Find the measurement indicated. Round to the nearest tenth.
Answers
9514 1404 393
Answer:
22.015.030.0°137.0°Step-by-step explanation:
These are all Law of Cosine problems. A generic expression for the length of side 'c' opposite angle C, which is defined by sides 'a' and 'b' is ...
c² = a² +b² -2ab·cos(C)
The square root of this gives the side length:
c = √(a² +b² -2ab·cos(C))
Rearranging the equation, we can obtain an expression for the angle C.
C = arccos((a² +b² -c²)/(2ab))
These two formulas are used to solve the offered problems.
__
1) AC = √(13² +14² -2·13·14·cos(109°)) ≈ √483.506
AC ≈ 22.0
__
2) BC = √(7² +10² -2·7·10·cos(123°)) ≈ √225.249
BC ≈ 15.0
__
3) ∠B = arccos((24² +28² -14²)/(2·24·28)) = arccos(1164/1344)
∠B ≈ 30.0°
__
4) ∠B = arccos((6² +9² -14²)/(2·6·9)) = arccos(-79/108)
∠B ≈ 137.0°
4/12×1/8 in simplest form
Answers
Answer:
[tex]\frac{1}{24}[/tex]
Step-by-step explanation:
[tex]\frac{4}{12} *\frac{1}{8} =\frac{1}{24}[/tex]
Question 6
Simplify the following expression.
-3 + 4a - 3b + 2) - 5(2-a + 3b)
Answers
Write down an irrational number with a value between 6 and 7.
Answers
Answer:
Three irrational numbers between 6 and 7 are
i )6.2020020002...
ii) 6.5010010001....
iii)6.9010010001.... etc.
•••♪
[tex] \huge\boxed{\mathfrak{Answer}}[/tex]
3 irrational numbers with a value between 6 & 7 can be :-
6.101001000....6.533533353333....6.122122212222...How to show work on this one topic is angles formed by 2 chords and secants
Answers
Answer:
Step-by-step explanation:
Amir has 5 cups of water. He uses it to water 12 plants. Each plant gets
the same amount of water. How much water does each plant get?
Answers
Answer:
5/12 cup of water per plant
I need help on number 26
Answers
Answer:
The number of required shelves is 5
You have to find the HCF of 45, 105, and 75.
footballs=21
small cars=15
Quinn correctly answered 72 questions on a test, getting a score of 80%. How many questions were on the test?
Answers
Answer:
90
Step-by-step explanation:
4. The radius of a circle is 6 inches. What is
the area?
a. 18.84 in?
b. 37.68 in
c. 87.98 in
d. 113.04 in
Answers
If you look up “what is the area of a circle if it has a radius of 6 inches” it says 37.7 inches which is 37.68 inches rounded.
A new car is purchased for 22300 dollars. The value of the car depreciates at 7.5% per
year. To the nearest year, how long will it be until the value of the car is 7700 dollars?
Answers
Answer:I think 3 years
Step-by-step explanation:
sorry if im wrong
The function f(x) models the value of imported goods into the United States, and the function g(x) models the value of exported
goods from the United States, where x is the number of years since 1990.
Which statements are correct?
A) g(x) appears to be a linear function
B) f(x) appears to be an exponential function
C)Exports increase more quickly around the year 2041
D) Exports eventually exceed imports from the united States
E) A quantity increasing exponentially eventually exceeds a quantity
increasing linearly
Answers
Answer:
C, D, E
Step-by-step explanation:
I did the USATESTPREP
7.2.8 Scientists at the Hopkins Memorial Forest in western Mas- sachusetts have been collecting meteorological and environmen- tal data in the forest data for more than 100 years. In the past few years, sulfate content in water samples from Birch Brook has averaged 7.48 mg/L with a standard deviation of 1.60 mg/L. a. What is the standard error of the sulfate in a collection of 10 water samples
Answers
Answer:
The standard error of the sulfate in a collection of 10 water samples is of 0.506 mg/L.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard error [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Standard deviation of 1.60 mg/L.
This means that [tex]\sigma = 1.6[/tex]
Collection of 10 samples:
This means that [tex]n = 10, s = \frac{1.6}{\sqrt{10}} = 0.506[/tex]
The standard error of the sulfate in a collection of 10 water samples is of 0.506 mg/L.
helpppppppppppppppppppp
Answers
Answer:
c
Step-by-step explanation:
Use GCF and the distributive property to write equivalent
expressions.
A) 6x + 9y
B)3c +11c
Answers
Answer:
Step-by-step explanation:
Greatest common factor of 6x and 9y is 3.
6x + 9y = 3(2x + 3y)
:::::
Greatest common factor of 3c and 11c is c.
3c + 11c = (3+11)c
Missing length..Area 90mm to the second power with base at 10mm. What is the millimeters
Answers
Answer:
5
Step-by-step explanation:
Ilia brought pizza home for dinner. Ilia ate 1/4 of the pizza. His friend ate 1/3 of the pizza. How much was left for Ilia.
Answers
Answer:
5/12 of the pizza was leftgot Lila
Step-by-step explanation:
Well Lila ate 1/4 already and his freind ate 1/3
1/4+1/3
3/12+4/12
7/12
The whole pizza is gonna be 1 since a whole pizza
1-7/12
that would be 5/12
Answer:
5/12
Step-by-step explanation:
1/4 + 1/3 + x = 1
7/12 + x = 1
7/12 - 7/12 + x = 1 - 7/12
x = 5/12
The circle graph shows the results of a survey about favorite hobbies. A total of 1,000 people
were surveyed.
Favorite Hobbies
8%
Scrapbooking
24%
Playing Sports
16%
Collecting
22%
Cooking
12%
Reading
18%
Traveling
a. How many selected traveling as their favorite hobby?
Answers
Answer:
180 people
Step-by-step explanation:
Total of people surveyed = 1,000
% of people that selected travelling as their favorite hobby = 18 %
Number of people that selected travelling = % that selected travelling of 1,000
= 18% of 1,000
= 18/100 × 1,000
= 180 people
Therefore, 180 people selected travelling as their favorite hobby.
pls help will give brainliest and only put 1 variable in it ty
Answers
Answer:
(2/3)r=30
r=45cm
Step-by-step explanation:
When trying to find a fraction of something, multiply to get your answer:
(2/3) of r = (2/3)r
The blue ribbon can be represented by both 30cm and (2/3)r cm:
(2/3)r=30
2r=90
r=45cm
The average daily maximum temperature for Shane’s hometown can be modeled by the function f(x)=12.2cos(πx6)+54.9, where f(x) is the temperature in °F and x is the month.
x = 0 corresponds to January.
What is the average daily maximum temperature in March?
Round to the nearest tenth of a degree if needed.
Answers
Answer:
The average daily maximum temperature in March is of 61 degrees.
Step-by-step explanation:
The average daily maximum temperature in his hometown in x months after January is given by:
[tex]f(x) = 12.2\cos{(\frac{\pi x}{6})} + 54.9[/tex]
What is the average daily maximum temperature in March?
March is 3 - 1 = 2 months after January, so this is f(2).
[tex]f(2) = 12.2\cos{(\frac{\pi*2}{6})} + 54.9 = 61[/tex]
The average daily maximum temperature in March is of 61 degrees.
Which graph shows the solution to the following system of inequalities?
{x - y = 1
y - x = 1
The lines are parallel.
The lines are coinciding.
The lines intersect at (1, 0).
The lines intersect at (–1, 0).
Answers
(Use desmos calculator for these problems)
what is the value of x in the equation -6 + x = -5
Answers
-6 + 1 = -5
If a bakery produces 1,215 cupcakes during a 9 hour shift, what is the production rate of cupcakes per hour?
Answers
Answer:
135
Step-by-step explanation:
Answer:
135 cupcakes
Step-by-step explanation:
You would do 1,215 divided by 9 to get your answer. So the answer would be 135 cupcakes.
Please help I’ll give brainliest! Due today. I need Sin Z, Tan z, and Cos Z
Answers
PLEASE HELP ME W THIS
Answers
9514 1404 393
Answer:
(b) C = dπ
Step-by-step explanation:
The irrational value π is the ratio between the circumference of a circle and its diameter. That is ...
π = C/d
Rearranging to get a formula for the circumference, we have ...
C = dπ
HAHA. YOU GOT IT WRONG ONYEBUCHINNAJI
WHY DID YOU EVEN PUT THIS NAME??
Answers
Answer:
free points ty
Translate this sentence into an equation.
54 is the sum of 15 and Jenny's age.
Use the variable j to represent Jenny's age.
Answers
Answer:
54= 15 + J
Step-by-step explanation:
j= 39
