Answers
Answer:
20
Step-by-step explanation:
diameter=√(12²+16²)=√[4²(3²+4²)]=4√(9+16)=4√25=4×5=20
Related Questions
please help me find the area
Answers
Answer:
165 square ft
Step-by-step explanation:
If the surface area of the box in the diagram is 204.25 square feet, what is the value of ‘x’?
the length is 10ft
the height is 6.5ft
what would x
A. 3 ft
B. 2.25 ft
C. 4.5 ft
D. 5 ft
Answers
Note: Consider x be the breadth of the box.
Given:
The surface area of the box is 204.25 square feet.
Length of the box = 10 ft
Breadth of the box = x ft
Height of the box = 6.5 ft
To find:
The value of x.
Solution:
The surface area of a cuboid is:
[tex]SA=2(lb+bh+hl)[/tex]
Where, l is length, b is breadth and h is height of the cuboid.
Putting [tex]SA=204.25, l=10,\ b=x,\ h=6.5[/tex] in the above formula, we get
[tex]204.25=2(10\times x+x\times 6.5+6.5\times 10)[/tex]
[tex]204.25=2(10x+6.5x+65)[/tex]
[tex]204.25=2(16.5x+65)[/tex]
Using distributive property, we get
[tex]204.25=2(16.5x)+2(65)[/tex]
[tex]204.25=33x+130[/tex]
[tex]204.25-130=33x[/tex]
[tex]74.25=33x[/tex]
Divide both sides by 33.
[tex]\dfrac{74.25}{33}=x[/tex]
[tex]2.25=x[/tex]
Therefore, the correct option is B.
Express the ratio below in its simplest form. 1.5 : 1
Answers
Answer:
3 :2.
Step-by-step explanation:
1.5 : 1
Multiply both numbers by 2:
i this gives 3:2
find the number of terms in an AP given that it's first and last terms are a & 37a respectively and it's common difference is 4a
Answers
Answer:
Substitute the values give into the nth term of the arithmetic progression and solve this the steps are give above in the picture
M∠1 is less than m∠2 by 40 degrees. What is m∠1 and m∠2
Answers
Solve for x
(4/y) + (3/x) = 8
(6/y) + (5/x) = 13
Answers
Answer:
0.5
Step-by-step explanation:
Given data
[tex]\frac{4}{y} +\frac{3}{x} =8\\\frac{6}{y}+\frac{5}{x} =13[/tex]
Now,
4x+3y=8xy......(i)
6x+5y=13xy.......(ii)
Multiply by 5 in equation (i) and by 3 in equation (ii)
20x+15y=40xy.....(iii)
18x+15y=39xy.....(iV)
Solving above equation (iii) and (iv)
2x=xy
y=2
Now, putting the y=2 in equation (i)
4x+3(2)=8x(2)
4x+6=16x
6=12x
x=0.5
Value of x=0.5
If d(4)=68. Thus, joe travels 68 mi in 4 hours. How many mi does Joe travel in 45 min
Answers
Answer:
12.75 miles
Step-by-step explanation:
Changing hours to minutes
4 hours 4*60 = 240 minutes
Now we can use a ratio to solve
68 miles x miles
------------- = -----------------
240 minutes 45 minutes
Using cross products
68*45 = 240x
Divide each side by 240
68*45 /240 = x
12.75 miles
Answer:
12.75 MILES
Step-by-step explanation:
if he travels 68 miles in 4 we should find how many miles per hour
to find this we divide 68/4 which is 17
So if he is going 17 MPH then to find how far he travels in 45 min we should multiply by 3/4
17 x 3/4 is 12.75
12.75 MILES
What did she do wrong??
Answers
Answer:
She did nothing wrong
The store charges $2.50 for a bottle of soda and $1.25 for a bottle of water. Write an equation in standard form for the number of soda (s) and water (w) bottles that you can buy with $15. PLZ HELPPPP
Answers
Answer:
2.50 + 1.25= 3.75
15.00 - 3.75= 11.25
Step-by-step explanation:
Module 07: Project Option 1
Instructions
First, you need to come up with an activity. If you are having trouble thinking of what to do, here are some ideas:
• How many jumping jacks can you do in a minute?
• How many times can you write your full address in a minute?
• How many points can you score in a game in three minutes?
• How many pages of a book can you read in four minutes?
• How far can you walk in five minutes?
Feel free to be creative or even to come up with an activity you think your teacher has not seen before.
Now that you have decided what your activity is going to be, it’s time to get started.
Part 1: Record Information
Spend a short amount of time (one to five minutes) doing your activity. Answer the following questions:
1. What was the activity?
2. How long did you spend doing your activity?
3. How much of the activity did you complete in the time period? (Example: I did 24 sit-ups in one minute.)
4. Which of these variables is your dependent variable?
5. Which one is the independent variable?
6. Write a sentence that describes the relationship between the dependent variable and the independent variable. (Hint: Ratio language can help.)
(Questions 1 to 3 are worth 1 point each; questions 4 to 6 are worth 2 points each.)
Part 2: Prepare a Table
Assuming that you could complete the activity at the same rate over different time periods, how much of the activity could you complete in two minutes, three minutes, four minutes, and five minutes? (Note: If you spent two minutes doing your activity, then you should edit the table below and use multiples of 2 up to 10).
You may use the table below for your variables.
Time (minutes)
0 0
1
2
3
4
5
Part 3: Prepare a Graph
Create a graph to show your relationship. Make sure you include all the parts for a graph and show the data clearly. Include a title for the graph and label the x- and y-axes.
Part 4: Write an Equation
Based on your recorded values, write an equation that represents the relationship between the time you spent doing the activity and the amount of the activity you completed. Make sure to define your variables.
Follow-up questions
7. If you were able to maintain this rate of your activity for 12 minutes, how much of the activity would you be able to complete?
8. How long would it take you to reach 100 for the number of times you did your activity?
9. Which representation do you believe is the best way to share this information with someone else? This is your opinion. No answer is right or wrong.
Answers
Answer:
See below
Step-by-step explanation:
Feel free to be creative or even to come up with an activity you think your teacher has not seen before.
Liked that. So let's be creative.
Part 1: Record Information
Spend a short amount of time (one to five minutes) doing your activity. Answer the following questions:
1. What was the activity?
I am from Japan and practice Kendo (feel free to search about it). Suppose you are doing suburi. You did 100 joge suburi.
2. How long did you spend doing your activity?
Suppose it took you 5 minutes.
3. How much of the activity did you complete in the time period? (Example: I did 24 sit-ups in one minute.)
You did 100 joge suburi in 5 minutes. It means [tex]\dfrac{100}{5} = 20 \text{ per minute}[/tex]
4. Which of these variables is your dependent variable?
If you want to calculate how much suburi you did in an amount of time [tex]x[/tex], given the time in minutes, we can write the function
[tex]y = f(x)=20x[/tex]
Therefore, the dependent variable is the number of suburis. More precisely it is given by [tex]y[/tex]. On the other hand, the independent variable is [tex]x[/tex], the time.
Considering the example: I did 24 sit-ups in one minute.
sit-ups is the dependent variable and the number of minutes represents the independent variable.
Note: The number of sit-ups will depend on the time. 24 is the coefficient. In this case, the function would be
[tex]g(x) = 24x[/tex]
5. Which one is the independent variable?
The time in minutes.
6. Write a sentence that describes the relationship between the dependent variable and the independent variable. (Hint: Ratio language can help.)
You can write: The ratio of suburi done is 100:5 or 20:1 because for every 1 minute passed you did 20 suburis.
Part 2: Prepare a Table
Assuming that you could complete the activity at the same rate over different time periods, how much of the activity could you complete in two minutes, three minutes, four minutes, and five minutes? (Note: If you spent two minutes doing your activity, then you should edit the table below and use multiples of 2 up to 10).
You may use the table below for your variables.
Time (minutes) Quantity of suburi
0 0
1 20
2 40
3 60
4 80
5 100
Part 3: Prepare a Graph
Create a graph to show your relationship. Make sure you include all the parts for a graph and show the data clearly. Include a title for the graph and label the x- and y-axes.
This part I will let it to your. But is is just a linear graph.
Part 4: Write an Equation
Based on your recorded values, write an equation that represents the relationship between the time you spent doing the activity and the amount of the activity you completed. Make sure to define your variables.
[tex]y = f(x)=20x, \forall x \in\mathbb{Z}_{\geq 0}[/tex]
[tex]y: \text{number of suburis}[/tex]
[tex]x: \text{time}[/tex]
7. If you were able to maintain this rate of your activity for 12 minutes, how much of the activity would you be able to complete?
For [tex]x=12[/tex]: [tex]y = f(12)=20\cdot 12 = 240[/tex]
240 suburis
8. How long would it take you to reach 100 for the number of times you did your activity?
5 minutes.
9. Which representation do you believe is the best way to share this information with someone else? This is your opinion. No answer is right or wrong.
The function is the best because it describes all the variables easily.
Answer:
5.
The sum of three consecutive odd numbers is equal to thirteen more than two
times the largest number. Let the first odd number be'n'.
(a)
Write the equation of the problem
Answer:
(1 mark)
(b)
Solve for'n' to find the first number
Answer:
(1 mark)
(C)
What are the values of the second and third odd numbers?
Answer:
(1 mark)
(d)
Show that the equation is true.
Answer:
Answers
Let the numbers be n, n+2, n+4
Sum equals too= 13+2(n+4), which is 2n+21
a) Equation--> n+n+2+n+4= 2n+21
b) Solution--> 3n+6= 2n+21
=> n= 15
c) Second number--> 17 (15+2)
Third number--> 19 (15+4)
d) 15+15+2+15+4=30+21
=> 51= 51
So, the equation is true.
And pls mark me brainliesttt :)))
if sin (A+B)=1 and tan (A-B)=1/sqroot 3
are acute angles. find out the value of A and B
Answers
Answer:
A = 60° , B = 30°
Step-by-step explanation:
[tex]sin(A+B ) = 1\\\\\ \ \ (A + B) \ = \ \ sin^{-1} 1\\\\A + B = 90^\circ --(1)\\\\ \ tan (A - B) = \frac{1}{\sqrt{3}}\\\\(A-B) = tan^{-1}\frac{1}{\sqrt3}}\\\\A - B = 30^\circ --(2)\\\\ (1) + (2) => 2A = 120^\circ\\[/tex]
[tex]A = 60^\circ[/tex]
[tex]from \ (1) \\A + B = 90^\circ\\60^\circ + B = 90^\circ\\B = 90^\circ - 60^\circ\\B = 30^\circ[/tex]
Find the largest possible rectangular area you can enclose, assuming you have 128 meters of fencing. What is the (geometric) significance of the dimensions of this largest possible enclosure?
Answers
Answer:
Step-by-step explanation:
let the length=x
width=y
P=2(x+y)=128
x+y=128/2=64
y=64-x
area A=xy=x(64-x)=64x-x²
[tex]\frac{dA}{dx} =64-2x\\\\\frac{dA}{dx} =0,gives~64-2x=0,x=32\\\frac{d^2A}{dx^2} =-2<0 ,at ~x=32[/tex]
so A or area is maximum if x=32
y=64-32=32
or it is a square of edge=32 meters.
You are studying the color patterns of a species of iris that can be yellow, purple, or red. If you are performing a chi-squared test to compare the number of each you find in a field to the number you would expect to find based on the pollinators in the area, how many degrees of freedom would you have in your analysis
Answers
Answer:
Number of degrees of freedom = 2
Step-by-step explanation:
The degree of freedom in such type of chi-Square test depend on the number of phenotypes of the a particular species produced in a given cross.
Here the total phenotype number is three i.e yellow, purple, or red
Hence, the number of degrees of freedom = total number of phenotype - 1
Number of degrees of freedom = total number of phenotype - 1
Number of degrees of freedom = 3-1
Number of degrees of freedom = 2
A school store has 1200 pencils in stock, and sells an average of 25 pencils per day. The manager reorders when the number of pencils in stock is 500. In how many days will the manger have to reorder? The equation that the manger uses to calculate number of days is 1200 - 25x =500.
A 35 DAYS
b 45 DAYS
C 28 DAYS
D 17 DAYS
Answers
Answer:
C. 28 DAYS
Step-by-step explanation:
You take the total ammount of pencils and subtract the minimum stock (y intercept)
1200-500 = 700
700 divided by the slope of the equation (how many pencils a day is sold) 25
700/25 = 28
h(x)=6/(x-3), find h(5)
Answers
h(5) means the value of h(x) at x = 5. So what we have to do is to substitute x = 5 in the function.
We are given the function h(x) below:
[tex] \large{h(x) = \frac{6}{x - 3} }[/tex]
Substitute x = 5 in the equation.
[tex] \large{h(5) = \frac{6}{5 - 3} \longrightarrow \frac{6}{2} }[/tex]
Simplify in the simplest form.
[tex] \large{h(5) = \frac{3}{1} \longrightarrow 3}[/tex]
Thus h(5) is 3.
Answer
h(5) = 3Hope this helps! Let me know if you have any doubts.
Find ƒ–1 for the function ƒ(x) = (x – 10)3 + 4.
Answers
Answer:
x=-69/7
Step-by-step explanation:
f (-1) f (x)=(x-10) 3+4
-1=(x-10) 3+4
-1=(x-10) 7
You will multiply 7 by (x-10)
-1=7x-70
Well move the-1 to the right hand side which will become+1 and move the+7x to the left hand side which will become -7x
-7x=-70+1
-7x=-69
So you will divide both sides by-7
-7x/7=-69/7
x=-69/7
what is the area of Ghana?
Answers
Answer:
its 238,535km²
Step-by-step explanation:
i hope it helps alot
What is the area of Ghana?
ඞ Ghana covers an area of [tex]\sf\purple{238,535\: km²}[/tex].
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
Find the circumference of this circle
using 3 for T.
C ~ [?]
2
C = 2Tr
Answers
Answer:
12Step-by-step explanation:
Formula:
C = 2πrGiven:
r = 2, π = 3The circumference:
C ≈ 2*2*3 = 12Hope this help!!!
Have a nice day!!!
tom has 60 apples, 30 oranges and 10 bananas
Valerie has 45 apples, 20 oranges and 5 bananas
how many more apples, oranges and bananas does tom have each?
how many apples, oranges and bananas do they have in all?
how many apples, oranges and bananas do they have in all times 2?
Answers
Answer:
15 10 5
60+45=15
30-20=10
10-5=5
170
60+30+10+45+20+5=170
340
170x2=340
Step-by-step explanation:
Points A, B, and C are collinear, BC = 2x+1, AB = 4x-3. AC is 7x- 6. What is
AB?
Answers
A line is a one-dimensional shape that is straight, has no thickness. The length of the sides AB is 13 units.
What is a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.
Given Points A, B, and C are collinear, BC = 2x+1, AB = 4x-3, and AC is 7x- 6. Since the three points are collinear therefore, the sum of AB and BC will be equal to AC. Therefore, we can write,
AB + BC = AC
4x - 3 + 2x + 1 = 7x - 6
6x - 2 = 7x - 6
-2 + 6 = 7x - 6x
4 = x
Now, since the value of x is 4, the measurement of AB is,
AB = 4x - 3 = 4(4) - 3 = 16 - 3 = 13 units
Hence, the length of the sides AB is 13 units.
Learn more about Line:
https://brainly.com/question/21511618
#SPJ1
Solve the equation. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)
|x − 1| = |3x + 8|
Answers
Answer:
ndwiqnubuyohaiuhdiupas
I GOT A BLEEE
Step-by-step explanation:
Answer:
- 9/2 , - 7/4
Step-by-step explanation:
You can use the app photo math, you just take a pic of the problem and it gives you the answer and explains the steps. and it is free.
I NEED HELP ASAP ⚠️⚠️
If 1 is a solution to g(x) = 0, what is the other solution?
Answers
9514 1404 393
Answer:
A. -1
Step-by-step explanation:
The table shows that g(x) = 0 for x = -1. (third row)
The other solution is x = -1.
Solve (5y+2)(y+2)=3(5y+2)
Answers
Answer:
y=1, y=-2/5
Step-by-step explanation:
Answer:
y= -2/5 . y= 1
Step-by-step explanation:
How many and what type of solutions does 7x^2−4x+3 have? 1 rational solution 2 rational solutions 2 irrational solutions 2 nonreal solutions
Answers
Answer:
2 non real solutions.
Step-by-step explanation:
We need to use discriminant,
for ax²+bx+c=0
The discriminat is b²-4ac
If the discriminant is,
→ less than 0, then 0 real solutions
→ equal to 0, then 1 real solutions
→ more than 0, then 2 real solutions
Given that,
7x²−4x+3=0
a=7, b=-4, and c=3
→ (-4)²-4(7)(3)
→ 16-84
→ -68
You can see this is less than 0, then non real solutions. [2 nonreal solutions]
Answer:
Solution given:
7x²-4x+3=0
taking common 7
7(x²+4/7*x+3/7)=0
x²+2*x*2/7+(2/7)²-(2/7)²+3/7=0
(x+2/7)²=-17/49
x+2/7=[tex]\sqrt{\frac{17}{49}}[/tex]
x=±√(17)/7-2/7
taking positive
x=√(17)/7-2/7
x=0.39
taking positive
x=-√(17)/7-2/7
x=-0.87
2:unreal number
Can someone please help? U get points just from typing and I would really appreciate it.
The sum of two consecutive numbers is 131. What are the two numbers?
A. 64 and 65
B. 64 and 67
C. 65 and 66
D. 130 and 131
No links or fake answers pls. Thank you for understanding.
Answers
Answer:
C
Step-by-step explanation:
Consecutive numbers are directly next to each other on the number line, so B is already out of the question. Add each pair together to see which one is 131.
Answer:
C. 65 and 66
Step-by-step explanation:
Let x be first number
Then x + 1 be next number
x + (x + 1) = 131
2x + 1 = 131
2x = 130
x = 65
x + 1 = 66
A new runner has decided to purchase a new pair of running shoes. He has narrowed his choices to two brands, each of which would be appropriate for his use. His concern is whether there is a significant difference in the average wear between the two brands of shoes. He enlisted a random sample of 6 veteran runners to test the shoes. Each runner wore each brand of shoe until it wore out. What method of analysis is more appropriate to use for this problem
Answers
Answer:
Paired difference t test
Step-by-step explanation:
The paired difference t test is a type of statistical test which is used to examine if difference exists in th population mean of two samples. The paired difference test usually involves samples taken within subjects. That is, the sample mean for each set of measurement is taken from the Same subject, In the scenario described above, the subjects which are the 6 veteran runners each wore each of the two shoe brands, this means that two readings were produced by each runner ; one reading for brand A and the other brand B.
The difference between the two readings are taken for each runner and used to perform a hypothesis test:
t = μd/ (s/√n)
s = sample standard deviation ; n = sample size ; μd = mean difference
Will Mark Brainlest help step by step. (The ratio of two men present age is 3:4 and this will be 7:9 after 4 years what are their present age)
Answers
Answer:
24 and 32
Step-by-step explanation:
Let their present ages be x and y
Therefore, x
[tex] \frac{x}{y} = \frac{3}{4} [/tex]
we have 4x = 3y
4x - 3y = 0......................(I)
After four years,
[tex] \frac{x + 4}{y + 4} = \frac{7}{9} [/tex]
we have, 9(x + 4) = 7(y + 4)
9x + 36 = 7y + 28
9x - 7y = -8 ........................(ii)
Solving (I) and (ii) simultaneously
4x - 3y = 0
9x - 7y = -8
multiply eqn I by 9 and equation (ii) by 4 and subtract result
36x - 27y = 0...............(iii)
36x - 28y = -32...........(iv)
subtracting (iv) from (iii) we have,
y = 32
substituting y back in equation (I)
4x - 3y = 0
4x -3(32) = 0
4x - 96 = 0
4x = 96
x = 24
Their ages are 24 and 32
In a right triangle, angle C measures 40°. The hypotenuse of the triangle is 10 inches long. What is the approximate length of the side adjacent to angle C?
6.4 inches
7.7 inches
8.4 inches
13.1 inches
Answers
Answer:
The cosine function is: adjacent/hypotenuse = cos (40). We know the hypotenuse length is 10, so the equation is now adjacent/10 = cos (40). Solving for adjacent length we get 7.7 inches.
Answer:
the answer is B: 7.7 inches
Step-by-step explanation:
did the test go 100%
Jasmine drinks 500 ml of water 3 times a day. How many days would it take to drink 9 liter of water?
Answers
Answer:
6 days
Step-by-step explanation:
1 L = 1000 mL
3 days = 1500 mL = 1.5 L
9 L divided by 1.5 L = 6 days
