One side of a triangle is 3 times the second side. The third side is 17 feet longer than the second side. The perimeter of a
triangle is 52 feet. Find the length of each side.
Provide your answer below:
Answer:
Step-by-step explanation:
lets have one side =a
P=3a+a+(17+a)=52
P=5a+17=52
5a=52-17
5a=35
a=7
second side=21
third side=24
The restaurant at the top of a very tall building in Seattle rotates 1.02 revolutions every hour. Chelsea sits 21.9 m from the center of the restaurant near a window.
1. Through how many radians does Karen turn in 101 minutes?
2. How far does Karen move in 101 minutes?
Answer:
1. 10.8 radians
2. 236.3 meters
Step-by-step explanation:
The restaurant at the top of a very tall building in Seattle rotates 1.02 revolutions every hour. Chelsea sits 21.9 m from the center of the restaurant near a window.
1. Through how many radians does Karen turn in 101 minutes?
1 revolution = 360°
Hence since Seattle rotates 1.02 revolutions every hour
Step 1
We convert to degrees per minute
= (360 × 1.02 revolutions/hour)/60 minutes
= 6.12 degrees per minute
Step 2
Convert to radians
Number of minutes = 101 minutes
Hence:
(6.12 degrees per minute × 101 ) × π/180
= 10.788229172 radians
Approximately = 10.8radians
2. How far does Karen move in 101 minutes?
We are to calculate the distance in question 2.
We know that: Chelsea sits 21.9 m from the center of the restaurant near a window.
Therefore,
2 × π × 2.19m = 137.60175823
[6.12 degrees per minute × 101 minutes × 137.60175823]/360
= 236.26221888 meters
Approximately = 236.3 meters
What is the length of the hypotenuse to the nearest hundredth place in the diagram
below?
570
4cm
A 2.60
B 6.16
C 4.77
D 7.34
What was the answer
Answer:D
Step-by-step explanation:
Solve each inequality below and illustrate the solution on a number line.
(a)
4.Y + 6 < 18
(b)
Sx - 8 > 27
(c)
6.x + 7 < 37
2.2 - 6
(d)
5x – 7 > -17
(e)
<1
4(2x - 3) > -8
just tell the answer no need f0r working
17 is the answer
h0pe this helped :>
Elaine can travel 63 meters in 3 second what is Elaine rate of speed?
Answer:
75,600 m/h (21 m/s, 0.02 km/h)
Step-by-step explanation:
Hey there!
The answer to your question is [tex]21 mps[/tex]
To find the rate of speed, we have to find the meters per second, or mps. The formula for this is [tex]\frac{distance}{time} = speed[/tex]. So:
[tex]\frac{63}{3} = s[/tex]
[tex]21 = s[/tex]
This means that the speed is 21 meters per second, or 21 mps.
Hope it helps and have an amazing day!
If it costs $1.40 per square foot to install the garden, what is the cost for plan A? Plan B?
Answer:
Step-by-step explanation:
I NEED HELP PLEASE
38.72 X 10 to the power of 4
A building 11 stories has a glass enclosed elevator that goes up and down the outer wall of the building. From the 1st floor below the topmost floor you take the elevator and go down 5 floors. How many floors are you above the bottom floor?
PLS PUT THE CORRECT ANSWER AND SHOW HOW YOU DID IT PLS :(
5-7(9b-3d). D=3 b=9
Answer:
Subsitute (nothing hard)
5-7(9*9-3*3)
Combine
5-7(72)
Distibute left to right
-7*72= -504
5-504
-499
Graph the opposite of the opposite of 10 on the number line. Click on the number line to
identify the number's location.
Answer:
the opposite of 10 is -10 that's the best i could do for ya my bad hope this still helps.
Step-by-step explanation:
Answer:-10
Step-by-step explanation:
Express x^2 + 4x - 7 in the form (x + a)^3 - b where a and b are integers
Answer:
(x+2)² - 11
Step-by-step explanation:
Regroup terms
x² + 4x - 7
(x² + 4x) - 7
Complete the square
coefficient of x term: 4
divide coefficient in half: 2
square it: 2²
use 2² to complete the square:
(x² + 4x) - 7 = (x² + 4x + 2²) - 2² - 7 = (x+2)² - 11
PLEASE HELP ME PLEASE!!!!!!
Choose which type of description is used in each example. Planets surrounded by rings in our solar system include Jupiter, Saturn, Uranus, and Neptune. Saturn has fifty-three moons, more than any other planet in the solar system. Planets do not give off light themselves instead, light is reflected off of them.
Answer:
Step-by-step explanation:
Answer:
Choose which type of description is used in each example.
Planets surrounded by rings in our solar system include Jupiter, Saturn, Uranus, and Neptune.
✔ example
Saturn has fifty-three moons, more than any other planet in the solar system.
✔ characteristic
Planets do not give off light themselves; instead, light is reflected off of them.
✔ feature
Step-by-step explanation:
At a bicycle shop, all the bicycles are on sale for $25 off the regular price. If p represents the regular price in dollars of a bicycle, which expression gives the sale price in dollars?
A. 25p
B. – 25p
C. p – 25
D. p + 25
Answer:
C
Step-by-step explanation:
P-25
Help please I will Brainly
Answer:
6 cm² is correct answer
because there aren't any halves, mostly quarters, we won't count quarters or lesser than that.
HELP!!!!!! Due in 30 mins
Answer: Bianca is right.
Step-by-step explanation: f(x) and g(x) means the function of x(input) which is basically y(output). You know they are not the same because the 3 is separate in the first equation. You can pick any ordered pair for an input and output, I chose (4,5). You replace all x’s with 4 and y’s with 5. Solve by using order of operations and you’ll be able to back up your answer. [f(x): 5= 6 g(x): 5= 3.5]
write 36/48 in simplest form
Answer:
3/4
Step-by-step explanation:
heyyyyyyyyyyyyyyyyyyyyy
Answer:
3/4 (find the GCF, greatest common factor, and divide both sides [12])
Step-by-step explanation:
please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!
(lol optional): add my sc: tealyn337
WILL GIVE YOU BRAINLIEST
In the coordinate plane, the point X (3, -2) is translated to the point X'(2, - 4). Under the same translation, the points Y (7, 1) and Z (-1, 2) are
translated to Y' and Z', respectively. What are the coordinates of Y' and Z'?
Answer:
The coordinates of Y' and Z' are, respectively Y'(6,-1) Z'(-2,0)
Step-by-step explanation:
Translations
A given point A(x,y) when translated by the rule (h,k) maps to A'(x+h,y+k).
We are given the point X(3,-2) and its image at X'(2,-4). The rule for the translation used is:
(h,k)=(2,-4)-(3,-2)=(2-3,-4+2)=(-1,-2)
If we apply the same translation to the point Y(7,1) we get the image Y'(7-1,1-2)=Y'(6,-1).
If we apply the same translation to the point Z(-1,2) we get the image Z'(-1-1,2-2)=Z'(-2,0).
The coordinates of Y' and Z' are, respectively Y'(6,-1) Z'(-2,0)
HELP!
If the interest earned on an account after 2 years is $15, how much would it be after
10 years? Why?
Answer: $75
Step-by-step explanation: If interest earned on an account in 2 years is $15, then after 10 years, the interest would be $75.
We can know this because, if we divide $15 by 2, we get the amount of interest the account makes in 1 year.
15/2 = $7.50. The account makes $7.50 interest pear year.
We want to know how much interest the account will make in 10 years, simply multiply 7.50 by 10.
$7.50 x 10 = $75 in 10 years.
You buy shrimp at the market.
The shrimp cost $34.99 for two 2.5-pound bags.
What is the unit rate of the shrimp in dollars per pound?
Find the unit rate to the nearest dollar.
$30 per pound
$0.14 per pound
$7 per pound
$14 per pound
Answer:
$7 a pound
Step-by-step explanation
$35 dollars in total two 2.5 pounds is 2 x 2.5 = 5 then its 35/5=$7
You know from class that 23 people can comfortably fit standing in 32 square feet. You attend an outdoor concert that has a standing area for observers that is 450 feet by 650 feet. How many people can comfortable stand in this observation area?
A) 2,102 people
B) 21,027 people
C) 210,234 people
D) 2,102,340 people
Answer:
C
Step-by-step explanation:
To do this first find how many square feet are in the area. You can do this by multiplying 450 * 650 = 292500.
Next, divide by 32 to find how many sections of 23 people there are.
292500 / 32 = 9140.625
Lastly, multiply by 23 to find how many people can stand in the area.
9140.625 * 23 = 210,234.375 which rounds to C. 210,234 people
9y+3-4x-2y-3x-5 combine like terms
Answer:
7y-7x-2
Step-by-step explanation:
9y+3-4x-2y-3x-5
7y-7x-2
that a lot of points thx :)
you just add the numbers of the like terms togehter
Answer:
7y-2-7x
Step-by-step explanation:
Describe how you can tell whether a lines slope is greater than 1,equal to 1, or less than 1
Answer:
Rise over Run
Step-by-step explanation:
You need to find the rise over run. Find a point where the line crosses a set of points on the graph. Then find another point on the graph where the line crosses. start at the bottom point and count up till you get even to where the point is. then count over till you get to the point. That is your rise over run. Now simplify the rise over run. You should get a number and that is how you can tell if if a lines slope is equal to 1, greater than 1, or less than 1.
Hope this Helps!
The lock is numbered from 0 to 49. Each combination uses three numbers in a right, left, right pattern. Find the total number of possible combinations for the lock.
Answer:
147
Step-by-step explanation:
Please help 30 points
Answer:
The total surface area is 973.89 ft
Step-by-step explanation:
The formula for the surface area of a cylinder is A=2πrh+2πr2.
The top cylinder has a radius of 5 ft, and height of 2 ft.
The bottom cylinder has a radius of 10 ft, and a height of 2 ft.
Plug in the numbers for each and you get:
Top Cylinder:
A=2π(5)(2)+2π(5^2)
A=2π(10)+2π(25)
A= 62.83185307 + 157.079327
A= 219.9111801
A≈ 219.91
Bottom Cylinder:
A= 2π(10)(2)+2π(10^2)
A= 2π(20)+2π(100)
A= 125.6637061 + 628.3185307
A= 753.9822368
A≈ 753.98
Combined:
753.98 + 219.91 = 973.89
look at the picture. Will award brainliest for best answer (with explanation)!
Answer: x= 3π/2
Hope this helps.... Stay safe and have a great rest of the weekend!!! :D
6 batteries cost 29 dollars what is the unit rate?
Answer:
Step-by-step explanation:
In a unit rate, the denominator is always 1. So, to find unit rate, divide the denominator with the numerator in a way that the denominator becomes 1. For example, if 50km is covered in 5.5 hours, the unit rate will be 50km/5.5 hours = 9.09 km/hour
Answer:
[tex]\large \boxed{\sf{4.83 \ dollars/battery}}[/tex]
Step-by-step explanation:
Unit rate is a ratio that compares two measurements.
Denominator is 1
[tex]\displaystyle \sf \frac{29\ dollars}{6\ batteries}=4.83\ dollars/battery[/tex]
completely factor 7x^2 - 4x - 3
Answer:
(7x+3) (x-1)
hope this helps!!:)
Step-by-step explanation:
a) Find the value of 3a + 4b when a = 17 and b = 9.
+
b) Use the formula v= u + at to find the velocity, when
• the initial velocity is 3 m/s
• the acceleration is 1.5 m/s2
• the time is 7 seconds
+
Answer:
Step-by-step explanation: I think I know:7A+10B=222_5&-&6&6&656&&6&&5&5&&5'5'-6-
The mean amount purchased by a typical customer at Churchill's Grocery Store is $27.50 with a standard deviation of $7.00. Assume the distribution of amounts purchased follows the normal distribution. For a sample of 68 customers, answer the following questions
a. What is the likelihood the sample mean is at least $30.00?
b. What is the likelihood the sample mean is greater than $26.50 but less than $30.00?
c. Within what limits will 90 percent of the sample means occur?
Answer:
a) 0.0016 = 0.16% probability that the sample mean is at least $30.00.
b) 0.8794 = 87.94% probability that the sample mean is greater than $26.50 but less than $30.00
c) 90% of sample means will occur between $26.1 and $28.9.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
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 deviation [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.
In this question, we have that:
[tex]\mu = 27.50, \sigma = 7, n = 68, s = \frac{7}{\sqrt{68}} = 0.85[/tex]
a. What is the likelihood the sample mean is at least $30.00?
This is 1 subtracted by the pvalue of Z when X = 30. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem, we have that:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{30 - 27.5}{0.85}[/tex]
[tex]Z = 2.94[/tex]
[tex]Z = 2.94[/tex] has a pvalue of 0.9984
1 - 0.9984 = 0.0016
0.0016 = 0.16% probability that the sample mean is at least $30.00.
b. What is the likelihood the sample mean is greater than $26.50 but less than $30.00?
This is the pvalue of Z when X = 30 subtracted by the pvalue of Z when X = 26.50. So
From a, when X = 30, Z has a pvalue of 0.9984
When X = 26.5
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{26.5 - 27.5}{0.85}[/tex]
[tex]Z = -1.18[/tex]
[tex]Z = -1.18[/tex] has a pvalue of 0.1190
0.9984 - 0.1190 = 0.8794
0.8794 = 87.94% probability that the sample mean is greater than $26.50 but less than $30.00.
c. Within what limits will 90 percent of the sample means occur?
Between the 50 - (90/2) = 5th percentile and the 50 + (90/2) = 95th percentile, that is, Z between -1.645 and Z = 1.645
Lower bound:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]-1.645 = \frac{X - 27.5}{0.85}[/tex]
[tex]X - 27.5 = -1.645*0.85[/tex]
[tex]X = 26.1[/tex]
Upper Bound:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]1.645 = \frac{X - 27.5}{0.85}[/tex]
[tex]X - 27.5 = 1.645*0.85[/tex]
[tex]X = 28.9[/tex]
90% of sample means will occur between $26.1 and $28.9.
What is the x-intercept of the linear function y = 1/3x +1
Answer:
the x intercept is -3
or (-3,0)
Step-by-step explanation:
the x intercept is the point where the line crosses the x axis. The y value is zero, while x is a number.
Therefore, we can make y equal 0 in the function y=1/3x+1, since the point will pass through the line.
0=1/3x+1
subtract 1 from both sides
-1=1/3x
multiply by 3
-3=x
Therefore the x intercept is -3.
As a point is (-3,0)
hope this helps!