Answer:
200
Step-by-step explanation:
11^2+10^2=x^2
121+100=x^2
221=x
nearest 100th would be 200
Find 3 consecutive integers that is 3 times the smallest is 32 more than the largest
Answer:
10,11,12
Step-by-step explanation:
32-2/3=smallest
A person invests 8000 dollars in a bank. The bank pays 4.75% interest compounded daily. To the nearest tenth of a year , how long must the person leave the money in the bank until it reaches 20400 dollars?
The number of days for which the money is left to reach the 20,400$ mark is; 21.28 days
Compound interestThe final amount to be reached is; $20400
The principal amount is; $8,000 and at. rate of 4.75 % compounded.
Hence, it follows that;
20400 = 8000(1+0.045)^(x)Divide both sides of the equation by 8000; we have;
20400/8000= 1.045^(x)2.55 = 1.045^(x)Take log of both sides;
x = 0.4065/0.0191x = 21.28 days.Read more on compound interest;
https://brainly.com/question/24924853
The thesis statement, the theme or central idea of a speech, should be expressed as.
Evaluate x/y if x= 4/5 and y= −0.1 . Write your answer in simplest form.
Answer:
-8
Step-by-step explanation:
given x as 4/5 and y = - 0.1...
converting x to decimal it becomes 0.8
we then input values for x and y in the equation x/y
x/y = 0.8 / -0.1 = -8
The value of the fraction x/y is -8.
Given that, x= 4/5 and y= −0.1.
What is the fraction?In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
To find the value of fraction x/y:
Here, x=4/5 = 0.8
Now, x/y = 0.8/(-0.1)
= -8
Hence, the value of the fraction x/y is -8.
To learn more about the fraction visit:
brainly.com/question/1301963.
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7 times a number is 30 greater than the sum of twice the number and five
Answer:
7 X = 30 + 2(x + 5)
7x = 30 + 2x + 10
7x = 40 + 2x
7x - 2x = 40 + 2x -2x
5x = 40
x=8
Answer:
x=8
Step-by-step explanation:
7 X = 30 + 2(x + 5)
7x = 30 + 2x + 10
7x = 40 + 2x
7x - 2x = 40 + 2x -2x
5x = 40
x=8
Pre Ap Geometry, the circled ones are the ones I need help with!
Answer:
Yo hope you do not get in trouble for plagiarism
Step-by-step explanation:
PROJECT MATH - ANGLE OF ELEVATION AND DEPRESSION
- Guys can anyone help me of this project
- I have to write a story about the picture
- Then questions
- Traingles
That’s all i would be thankful if someone helped me Due is tmrw and i really need help with it !!!
Answer:
Story
Jane is 1.7 m tall. She stands 250 m away from the base of the Eiffel tower and looks up at the top of the building. The angle of elevation from her eyeline to the top of the building is 45°.
Question
Calculate an estimate of the height of the building. Give your answer to the nearest meter.
Calculation
Label the sides of the triangle O, A and H (where O is the side opposite to the angle, A is the side adjacent to the angle and H is the hypotenuse).
In the triangle, the angle and side A is known, and O must be calculated.
Therefore, use the trig ratio tan(x) = O/A:
⇒ tan(40) = O/250
⇒ 250tan(40) = O
⇒ O = 209.7749078...
Assume Jane's eye-level is approximately 1.5 m above the ground.
Therefore, the Eiffel tower is approximately:
209.7749078... + 1.5 = 211.2749078.. meters tall
Rounding to the nearest meter ⇒ 211 m
) An outdoor staircase has a total vertical elevation of 21 feet from the road level to the first floor. The 1st floor to the 2nd floor is also 21 feet. If the angle of elevation is 32 degrees and the landing of each step is 12 inches, answer the following questions showing each step of your work:
a) What is the vertical rise per step (in inches, rounded to the nearest inch)?
b) Find the number of steps needed to climb from road level to the 2nd floor.
Answer:
a) 7 in
b) 72 steps
Step-by-step explanation:
Angle of elevation formula: [tex]tan(\theta)=\dfrac{y}{x}[/tex]
where [tex]\theta[/tex] is the angle of elevation, y is the vertical distance (rise) and x is the horizontal distance.
a) Given:
[tex]x=12[/tex][tex]\theta=32[/tex][tex]\implies tan(32)=\dfrac{y}{12}[/tex]
[tex]\implies y=12tan(32)[/tex]
[tex]\implies y=7 \ \textsf{in (nearest inch)}[/tex]
b) Given:
1st floor = 21 feet2nd floor = 21 feet⇒ Total height = 21 + 21 = 42 feet
1 foot = 12 inches
⇒ 42 feet = 42 x 12 = 504 inches
Using vertical rise of 7 in per step found in part (a):
Number of steps = 504 ÷ 7 = 72
Increased accuracy
Using unrounded vertical rise of 12tan(32):
Number of steps = 504 ÷ 12tan(32) = 67 steps to the nearest step
The area of a rectangle is 18 cm. It's length is double than that breadth, (1) Find its length and breadth (2) Find its perimeter?
Answer:
3 cm, 6 cm18 cmStep-by-step explanation:
Let the width is x, then the length is 2x.
Area of rectangle:
x*2x = 182x² = 18x² = 9x = 3Dimensions are:
3 cm and 6 cmPerimeter is:
P = 2(3 + 6) = 18 cmLet dimensions be x and 2x
Now
Area=18LB=182x(x)=182x²=18x²=9x=3Now
Breadth=3
Length=2(3)=6
Perimeter
2(3+6)=2(9)=18cmWhich expression below produces the nth term in the sequence?
4,4, -12, -20, -28, ...
Answer:
-28, -20, -12, 4, 4
Step-by-step explanation:
I really dont know how to explain this but yeah pretty much thats the answer.
will give brainlist and 30 points
Answer:
what are you asking
Step-by-step explanation:
what are u asking
PLEASE!!!! Help me outtt!!! I’d really appreciate it so much (:
x = 2
y = -1/2
multiply 1st equation by 2 to get common coefficient
6x + 4y = 10
2x + 4y = 2
‐-------------- subtract equation
4x = 8
x = 2
substitute
3×2 + 2y = 5
6 + 2y = 5
2y = -1
y = -1/2
I'm not good at linear equations and I need help fast.
Answer:
B. nonlinear
Step-by-step explanation:
Difference Difference
in x x y in y
0 -2
1 1
1 -1
1 7
2 6
1 19
3 25
The difference between any two consecutive x-coordinates is 1. Each difference between any two consecutive y-coordinates is different. This means it is a nonlinear function.
In how many ways can the letters in the word spoon be arranged?
a. 24
b. 30
c. 60
d. 120
A farmer saw some chickens and pigs in a field. He counted 51 heads and 172 legs. Determine
exactly how many chickens and pigs he saw.
How many chickens?
How many pigs?
Answers:
16 chickens
35 pigs
========================================================
Explanation:
x = number of chickens
y = number of pigs
There are 51 heads, so x+y = 51 which solves to y = 51-x
2x = number of legs just from the chickens (2 legs per chicken)
4y = number of legs just from the pigs (4 legs per pig)
2x+4y = 172 legs total
----------
Plug in y = 51-x and solve for x.
2x+4y = 172
2x+4(51-x) = 172
2x+204-4x = 172
-2x+204 = 172
-2x = 172-204
-2x = -32
x = -32/(-2)
x = 16
Now use this to find y
y = 51-x
y = 51-16
y = 35
Since x = 16 and y = 35, this means there are 16 chickens and 35 pigs.
----------
Check:
x+y = 16+35 = 51 which works
2x+4y = 2*16+4*35 = 172 and that also works.
Both equations are confirmed.
i need help with this please give plain answer like the example on the image!
Answer:
can you make it look better
Step-by-step explanation:
The quality
what is the point of intersection of the linear system
x=5 and y = - 4
Wym has a packet of 50 biscuits she gives half of them to her friend and then eats 8 how many are left
Answer:
17 biscuits
Step-by-step explanation:
Since she starts with 50 and gives away half which is 25, that will leave her with 25 biscuits herself. If she then eats 8 of them, that will leave her with 17 since 25-8=17.
Yay is making jam. The recipe calls for 3 strawberries for each apple
Answer:
3 into 1 apple so if u have 3 apples u need 9 strawberrys
Step-by-step explanation:
8.15 = e + 6
Solving one step equations
Addition and subtraction
Answer:
e= 2.15
Step-by-step explanation:
Subtract both sides by 6
2.15=e
Thus e is 2.15
Hope this helps!
Complete the following:
Multiply these numbers the quickest and easiest way possible: 87 x 5 x 2
Explain how you were able to quickly determine the product. Justify your reasoning using a property of multiplication.
Select the correct solution for the expression.
Answer:
= B
[tex]\frac{16}{40} +\frac{15}{40} = \frac{31}{40} \\\\\frac{2}{5} +\frac{3}{8} =\frac{31}{40}[/tex]
Please answer this (who ever answers correctly gets brainlest)
Answer:
last one "kiki" is true...
Answer:
Option 2 and 4
Step-by-step explanation:
2) Number of science questions = (3/4) of total questions
= [tex]\dfrac{3}{4}*24[/tex]
4) Number of marbles in the jar = (3/4) of the total marbles
[tex]=\dfrac{3}{4}*24[/tex]
The perimeter of a rectangle bathroom mirror is 24 feet . The mirror is 10 feet wide how tall is it
A manager is assessing the correlation between the number of employees in a plant and the number of products produced yearly. The table shows the data: Number of employees (x) 0 50 100 150 200 250 300 350 400 Number of products (y) 100 1,100 2,100 3,100 4,100 5,100 6,100 7,100 8,100 Part A: Is there any correlation between the number of employees in the plant and the number of products produced yearly? Justify your answer. (4 points) Part B: Write a function that best fits the data. (3 points) Part C: What does the slope and y-intercept of the plot indicate? (3 points).
The correlation coefficient of the number of employees and the number of products is 0.1.
What is the correlation coefficient?The correlation coefficient helps us to know how strong is the relation between two variables. Its value is always between +1 to -1, where, the numerical value shows how strong is the relation between them and, the '+' or '-' sign shows whether the relationship is positive or negative.
1 indicates a strong positive relationship.-1 indicates a strong negative relationship.A result of zero indicates no relationship at all, therefore, independent variable.
A.) In order to find the correlation between the two quantities we need to know the mean of the two values, therefore, the mean of the number of employees can be written as,
The mean of the number of employees
[tex]\text{Mean of the number of employees} = \dfrac{0+50+100+150+200+250+300+350+400}{9}[/tex]
[tex]\text{Mean of the number of employees} = 200[/tex]
The mean of the number of products
Mean of the number of Products [tex]= \dfrac{100+1100+2100 +3100+ 4100 +5100+ 6100+ 7100+ 8100}{9}\\\\\\=4100[/tex]
Now, the table can be written in the following manner as shown below, using the formula of the correlation,
[tex]r =\dfrac{\sum\left(x_{i}-\bar{x}\right)\left(y_{i}-\bar{y}\right)}{\sqrt{\sum\left(x_{i}-\bar{x}\right)^{2} \sum\left(y_{i}-\bar{y}\right)^{2}}}[/tex]
[tex]r =\dfrac{(30 \times 10^4)}{\sqrt{(15 \times 10^4)\times (60 \times 10^6)}}\\\\r = 0.1[/tex]
B.) The given data follows the linear relationship, therefore, the function of the given data will follow the general equation of a line.
y = mx + C
If we look at the value of y when the value of x was 0,
[tex]y = mx +C \\\\100 = m(0) + C\\\\C = 100[/tex]
Substitute the value of C in any other data point we will get,
[tex]y = mx+C\\\\1100 = m(50) +100\\\\m = 20[/tex]
Hence, the function that best fits the data is y=20x+100.
C.) The slope and y-intercept of the plot indicate that as the number of employees in the organization increases the number of products increases as well. The y-intercept shows us that if there are no employees in the company at that point the company will be able to produce 100 products on its own.
Learn more about Correlation Coefficients:
https://brainly.com/question/15353989
Help pls asap so confused PLS
Answer:
the answer is x=12√2
hope it helps
If BS = 9 and AB = 14, what is the measure of AS? Round to the nearest hundredth. Show all your work.
Answer:
When a radius meets a tangent the angle is always 90° and the length of the radius stays constant
So you can do pythagoras theorem
A2+b2=c2
9^2+14^2=C^2
C= 16.64
C~17
Please help with this question :`D
Answer:
The 4th term is geometric
Step-by-step explanation:
For geometry series we use Tn = a•r^n-1
r = -3
a = 3
Use the equation Tn = 3(-3)^n-1 and you'll see that it's geometric.
Help me I really need help
Answer:
Question 1 is A (7/10) Question 2 is b (39/56)
Step-by-step explanation:
Find the value of x.
Answer:
37
Step-by-step explanation:
(x+10)+x+(3x-5)=180
5x=185
x=37
The sum of angles in the triangle is 180 degrees. Therefore, the value of x in the triangle is 35
Angles of a triangleThe sum of angles of a triangle is 180 degrees. This simply implies the sum of the three angles in a triangle is equals to 180 degrees.
Therefore,
x + 10 + 3x - 5 + x = 180
combine like terms
x + x + 3x + 10 - 5 = 180
5x + 5 = 180
subtract 5 from both sides of the equation
5x + 5 - 5 = 180 - 5
5x = 175
divide both sides by 5
5x / 5 = 175 / 5
x = 35
learn more on angles of triangles here: https://brainly.com/question/25873833