Answer:
56.25π in²
Step-by-step explanation:
The area of a circle is given by πr², where r is the radius of the circle.
Given that the diameter is 15 inch, let's calculate the radius.
Diameter= 2 ×radius
Radius
= 15 ÷2
= 7.5 in.
Applying the formula for area of circle,
area of circle
= π(7.5)²
= 56.25π in²
Since the question requires for the answer to be in terms of π, we have arrived at our answer.
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find the value of x? WILL MARK BRAINLIST FOR CORRECT ANSWER
Answer:
for big triangle 8^2+16^2+y^2=x^2+8^2+16x
from small triangle y^2=x^2+16^2
put y in 1st eq and solve u get x=32
9. A ladder of length 23 feet leans against the side of a building. The angle of elevation of the ladder is 76. Find the distance from the top of the ladder to the ground. Round your answer to two decimals.
A)
5.73 feet
B)
22.32 feet
C)
5.56 feet
D)
18.96 feet
E)
13.02 feet
Answer:B) 22.32 feet
\( \quad\rule{300pt}{1pt}\)
Solution:
we are given that , a ladder is placed against a side of building , which forms a right angled triangle . We wre given one side of a right angled triangle ( hypotenuse ) as 23 feet and the angle of elevation as 76 ° . We can find the Perpendicular distance from the top of the ladder go to the ground by using the trigonometric identity:
\( \qquad\quad\bull ~{\boxed{\bf{ Sin\theta =\dfrac{Perpendicular}{Hypotenuse}}} }~\bull\)
Here,
hypotenuse = 23 feet\(\theta \) = 76°Value of Sin\(\theta \) = 0.97Perpendicular = ?\( \quad\dashrightarrow\quad \sf { sin\theta =\dfrac{P}{H}}\)
\( \quad\dashrightarrow\quad \sf { sin76° =\dfrac{P}{23}}\)
\( \quad\dashrightarrow\quad \sf { 0.97=\dfrac{P}{23}}\)
\( \quad\dashrightarrow\quad \sf {P = 0.97 \times 23 }\)
\( \quad\dashrightarrow\quad \sf { P = 22.32}\)
ㅤㅤㅤ~Hence, the distance from the top of the ladder to the ground is 22.32 feet !
\( \rule{300pt}{2pt}\)
Find the equation in slope-intercept form that describes line.
A line through (-1, 1) and (2,3)
Answer:
y = 2/3 x + 5/3.
Step-by-step explanation:
Slope m = (3-1)/(2-(-1)) = 2/3.
y - y1 = m(x - x1)
y - 1 = 2/3(x - (-1))
y - 1 = 2/3(x + 1)
y - 1 = 2/3 x+ 2/3
y = 2/3 x + 5/3.
The information is in the picture PLEASE HELP ME
Answer:
The answer is B.
Step-by-step explanation:
x^2-5x = x + 5
(x^2-5x)( x + 5)
x^3 - 25x^2+25x^2-25x
x^3 - 25x
help this is really hard for me, I need it rn
ALSO I NEED A COMPLETE SOLUTION
don't just use a calculator pls
Answer:
So this is an inequality and can be easily solved if its opposite number is done with both the sides. There are some inequality rules which are:
1. when absolute values removed; the number in the oppostite side becomes negative and if negative then positive. And the signs are changed to its opposite sign. Like greater than to less than or vise versa.
2. When both the sides are divided or multiplied by a negative number the signs are changed.
I - 7b + 5 I ≤ 33
- 7b + 5 ≥ -33
- 7b + 5 - 5 ≥ - 33 - 5
- 7b ≥ - 38
-7b/-7 ≥ -38/-7
b ≤ 5.428
Brainliest pls if it was correct!
15÷4 as a mixed number
Answer:
15/4 = 3 3/4
Step-by-step explanation:
15/4 = 3 R 3 = 3 3/4
Answer:
3 3/4
Step-by-step explanation:
83.49 x 1.48 to the nearest thousandth.
Answer:
13.565
Step-by-step explanation:
83.49*1.48=123.5652
Answer:
123.565
Step-by-step explanation:
83.49 * 1.48 = 123.5652 Round to nearest thousands - > 123.565
1.39 - 0.28 =
What is the answer
Answer:
1.11 is the answer
Best of luck
Step-by-step explanation:
Is 12 3/4 rational or irrational
Answer: yes
Step-by-step explanation:
All fractions are rational
PLEASE HELP FAST) A ship travels 10 miles from Point A to Point B, makes a turn of 112, and
travels 16 miles to Point C. If the ship travels directly from Point C back to
Point A, how many miles will it travel on the last leg of the trip (from Point C
to Point A)? Round your answer to the nearest tenth of a mile.
O A. 19.2 miles
B. 23.4 miles
O C. 21.8 miles
D. 25.2 miles
Answer:
B
Step-by-step explanation:
maybe
For triangle ABC. AB = 6 and BC = 17. Which of the following is a possible length for AC?
PLS answer asap! its past due!
Two friends are renting a property with a monthly rent of $1,150. The total square footage is 1,225 square feet, the first bedroom is 140 square feet, and the second bedroom is 125 square feet. Determine how much the friend with the smaller bedroom will pay for rent if they split the cost based on the square footage of each bedroom. (2 points)
$582.05
$567.95
$540.35
$556.25
Answer:
See below
Step-by-step explanation:
Smaller bedroom is 125 out of (125 + 140 ) or 125/265
125/265 * 1150 = 542.45 <=====not one of the choices, so I guess 540.35
Answer:$540.35 is your answer
Step-by-step explanation:Have a great weekend and i hope it helped you
Make a the subject of the formula v = u + at.
Hence, find the value of a when t = 4, u = 10 and v=50.
Step-by-step explanation:
v = u + at
v-u = at
a = (v -u)/t
When t = 4, u=10, v=50
a = (50-10)/4
a= 40/4
a = 10
You want to fence off a rectangular area of yard using the back side of your house as one of the sides. You have a total of 150 yards of fence. If the area of the fenced in portion comes to 2,800 square yards, what are the dimensions of the fenced-in area? Show all work for full credit.
The dimensions of the fenced-in area is given as
either length is 35 yards and width is 80 yards ,
or length is 40 yards and width is 70 yards .
In the question ,
given that the total length of the fence (perimeter) = 150 yards
let L be the length of the portion to be fenced
let B be the width of the house
Given that , one side of the portion is fenced using the back side of the house
So, the perimeter of the portion to be fenced is 2L+B
equating both the perimeter ,we get
2L+B=150
B=150-2L ....(i)
Also , given that the area of the fenced-in portion = 2800 yards
also the formula for area of fenced-in portion = L×B
hence
L*B=2800
Substituting the values of B from equation(i) , we get
L*(150-2L)=2800
150L - 2L² = 2800
2L² - 150L + 2800 = 0
simplifying further , we get
L² - 75L + 1400 = 0
L² -40L -35L +1400 = 0 .....using splitting the middle term
L(L-40) -35(L-40) = 0
(L-35)(L-40) = 0
So , L = 35 yards or L = 40 yards
Using L = 35 yards , we get B = 150-2(35) = 80 yards
and using L =40 yards , we get B = 150-2(40) = 70 yards .
Therefore , the dimensions of the fenced-in area is given as
either length is 35 yards and width is 80 yards ,
or length is 40 yards and width is 70 yards .
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there are 252525 students in ms. nguyen's second-grade class. in the class election, 444 students voted for benjamin, 121212 voted for sahil, and 999 voted for maria. what percentage of the class voted for maria?
Maria received 999 votes out of a total of 25, which means that 999/25 = 39.96% of the class voted for her. Therefore, approximately 40% of the class voted for Maria.
To find the percentage of the class that voted for Maria, we need to first find the total number of students who voted:
Total number of students who voted = number who voted for Benjamin + number who voted for Sahil + number who voted for Maria
= 444 + 1212 + 999
= 2655
Now we can calculate the percentage of the class that voted for Maria:
Percentage of class that voted for Maria = (number who voted for Maria / total number of students who voted) x 100%
= (999 / 2655) x 100%
= 37.6%
Therefore, 37.6% of the class voted for Maria, approximately 40% of the class voted for Maria.
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question 3 in the analyze stage of the data life cycle, what might a data analyst do? select all that apply.
In the analyze stage of the data life cycle, the data analyst will use the spreadsheet to aggregate the data and use the formulas to perform the calculations
The data life cycle is defined as the time period that that data exist in you system. Usually the data management experts finds the six or more stages in the data life cycle
The data analyst is the person who use the interpreted data and analyze the data in order to solve the problems
The analyze stage is the one of the main stages of the data life cycle. In the stage data analyst will use the spreadsheet to aggregate the data in the system and use the formulas to perform the calculations in the system
Therefore, the data analyst will use the spreadsheet to aggregate the data and use the formulas to perform the calculations
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Given that mAngleKLH = 120° and mAngleKLM = 180°, which statement about the figure must be true? AngleHLM is bisected by Ray L J. AngleGLJ is bisected by Ray L H. MAngleKLG = mAngleHLJ mAngleHLI = mAngleILM.
The measure of the angle of the straight line is equal to the 180 degree. the measure of the \(\angle HLI\) is equal to the \(\angle ILM\) which is 30 degrees. Thus the option 4 is the correct option.
Given information-The measures of the angle KLH is 120 degrees.
The image is attached below for the given problem.
Angle of the straight lineThe measure of the angle of the straight line is equal to the 180 degree.
The line KLM is a straight line thus the angle of the line KLM is equal to the 180 degrees.
The value of the angle ILH is 30 degrees given in the figure.
The value of the angle KLH is given in the question which is equal to the 120 degrees. Thus,
\(\angle KLM=\angle ILM +\angle KLH + \angle ILH\)
Take the angle KLH and the angle ILH on the other side,
\(\angle ILM=\angle KLM -\angle KLH - \angle ILH\)
\(\angle ILM=180-120-30\)
\(\angle ILM=30\)
Thus the measure of the \(\angle ILM\) is 30 degrees.
As the measure of the \(\angle HLI\) is equal to the \(\angle ILM\) which is 30 degrees. Thus the option 4 is the correct option.
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Answer:
Answer: D. m<HLI = m<ILM
Step-by-step explanation:
Ed2022
i will give u brainliest
Answer:
The reciprocal of 2 is 1/2
The reciprocal of 6/11 is 11/6
A menu has three meat choices,
three vegetable choices and two desserts
How many ways can you choose your dinner?
Answer:
18 ways
Step-by-step explanation:
Number of Meat choices = 3
Number of Vegetable choices = 3
Number of Desserts = 2
Number of ways dinner can be chosen :
Number of meat choices * Number of vegetable choices * number of desserts
3 * 3 * 2
= 18
Hence, dinner can be chosen in 18 different choices.
What are the solution of (x+3)(x-1)=5
Answer: x= -2
x=4
Step-by-step explanation:
Answer:
im pretty sure both x's equal -4
Step-by-step explanation:
(-4 + 3)= -1
(-4 - 1)= -5
-5 x -1=5
When you multiply a negative number times a negative number that will equal a positive number.
Find the value of x in the following equation.
x-6=8-x
Answer:
x = 7
Step-by-step explanation:
x-6=8-x
2x - 6 = 8 ==> add x on both sides to move x to one side of the equation
2x = 14 ==> add 6 on both sides to isolate x
x = 7 ==> divide 2 on both sides to isolate x
(6.4) A random sample of 80 employees at a large grocery store with multiple locations was asked if they spend more than 30 minutes commuting to work Assume the true proportion of employees that spend more than 30 minutes commuting to work 35%, which of the following is closest to the probability that fewer than 30% of the employees in the sample would respond that they spend more than 30 minutes commuting to work each day? 0.8258 0.1742
The closest probability is 0.1742.
To find the probability that fewer than 30% of the employees in the sample would respond that they spend more than 30 minutes commuting to work, we can use the binomial distribution.
Let's denote the probability of an employee responding that they spend more than 30 minutes commuting to work as p. In this case, p = 0.35.
We want to find the probability of having fewer than 30% of the employees respond in this way. So, we need to calculate the probability of having 0, 1, 2, ..., 23, 24, or 25 employees out of 80 respond in this way.
Using a binomial probability calculator or statistical software, we can sum up these individual probabilities to get the desired result. The closest answer provided is 0.1742.
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A professor counted the number of words students used to answer an essay question. Create a ranked frequency distribution of these data.
245 261 289 222 291 289 240 233 249 200
A ranked frequency distribution of data can be created by sorting the data in ascending or descending order and then counting the frequency of each value.
The given data set is 245, 261, 289, 222, 291, 289, 240, 233, 249, and 200. To create a ranked frequency distribution of this data set, we first need to sort it in ascending or descending order. Let's sort it in ascending order:200, 222, 233, 240, 245, 249, 261, 289, 289, 291 Next, we need to count the frequency of each value. We can do this by going through the data set and counting how many times each value occurs. Here is the frequency distribution table:Value Frequency 200 1222 1233 1240 1245 1249 1261 1289 2291 1 From this table, we can see that the most frequent value is 289, which occurs twice. We can also see that the least frequent values are 200, 222, 233, and 240, which each occur only once.
In conclusion, a ranked frequency distribution of data can be created by sorting the data in ascending or descending order and then counting the frequency of each value. This allows us to see which values are most and least frequent in the data set.
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What is the ratio of 120%
Answer:
5: 6
Step-by-step explanation:
becuase it was basically 100:120 but divide it by 20 and thats how you get 5;6
solve the following using BEDMAS
5X4 -(3+1)2÷2
the value of the expression is 12.
To solve the following using BEDMAS 5X4 - (3 + 1)2 ÷ 2:BEDMAS is an acronym that represents the order of operations for arithmetic operations in the correct order, that is, "Brackets", "Exponents", "Division and Multiplication", and "Addition and Subtraction."The full form of BEDMAS is- B stands for Brackets.E stands for Exponents.D stands for Division.M stands for Multiplication.A stands for Addition.S stands for Subtraction.
The given expression is;5X4 - (3 + 1)2 ÷ 2When we solve this expression using the BEDMAS rule of the order of operations, we get;= 5 x 4 - (3 + 1) x 2 ÷ 2[Since brackets comes first, then multiplication and division, followed by addition and subtraction.]= 20 - 4 x 2 ÷ 2[Perform multiplication: 3 + 1 = 4 and 4 x 2 = 8]= 20 - 8[Perform Division: 8 ÷ 2 = 4]= 12Therefore, the value of the expression is 12.The solution of the given expression using the BEDMAS rule of the order of operations is explained. The BEDMAS rule defines the correct order in which arithmetic operations should be performed.
It consists of four fundamental operations. They are brackets, exponents, multiplication and division, and addition and subtraction. The expression, 5X4 - (3 + 1)2 ÷ 2, can be solved using the BEDMAS rule of operations. First, we will simplify the brackets, followed by division and multiplication, then addition and subtraction. We will get the following expression 5 x 4 - (3 + 1) x 2 ÷ 2. We will then perform multiplication by finding the product of (3 + 1) and 2, which equals 8. Finally, we will perform division by dividing 8 by 2, which equals 4. After we have completed these steps, we will subtract 8 from 20 to get the final answer of 12.
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Trying to find the surface area and can not get the answer.
Answer:
Hi there user! I'll help you!
96 should be the correct answer!
Step-by-step explanation:
4 x 3 = 12
4 x 7 = 28
5 x 7 = 35
3 x 7 = 21
12 + 28 + 35 + 21 = 96
What is the domain? I need help on this problem
The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x ≥ -6
How to determine the domain of the functionFrom the question, we have the following parameters that can be used in our computation:
\(f(x) = \sqrt{\frac{1}{3}x + 2\)
Set the radicand greater than or equal to 0
So, we have
1/3x + 2 ≥ 0
Next, we have
1/3x ≥ -2
So, we have
x ≥ -6
Hence, the domain of the function is (d) x ≥ -6
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A rectangular playing field is 70 yards long. Its area is 3,150 yards what is the width of the feild
Answer:
45 yards
Step-by-step explanation:
Formula to find area of rectangle: Length * Width
Given:
Length = 70 yards
Area = 3,150 yards
Width = 3,150/70
==> 45 yards
Width = 45 yards
I will give BRAINILEST
Answer:
5/12
Step-by-step explanation:
10 out of 24 earned an A ...that is the probability
10/24 = 5/12
in the xy-plane, point (a,b) lies on a circle with center at the origin. the radius of the circle is 5. what is the value of a2 b2?
The value of a² + b² is 25.
Here, we have,
The equation of a circle with center at the origin is given by
x² + y² = r²,
where (x, y) represents any point on the circle
and r is the radius.
In this case, we are given that the radius of the circle is 5.
So the equation becomes:
a² + b² = 5²
Simplifying this equation, we have:
a² + b² = 25
so, we get,
Therefore, the value of a² + b² is 25.
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