The lengths of the three pencils form a right-triangle, and the two-step problem is:
6^2 + 8^2 = 10^2100 = 100How to write the two-step problemThe lengths of the pencils are given as:
6cm, 8cm and 10cm
Using the Pythagoras theorem, we have:
6^2 + 8^2 = 10^2
Evaluate the exponents
100 = 100
Hence, the lengths of the three pencils form a right-triangle
Read more about two-step problem at:
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Plss Help me on this!!
#1
[tex]\\ \rm\rightarrowtail x+1=9[/tex]
[tex]\\ \rm\rightarrowtail x=9-1[/tex]
[tex]\\ \rm\rightarrowtail x=8[/tex]
#2
Put x=8[tex]\\ \rm\rightarrowtail 8+1=9[/tex]
Hence verified
[tex]x + 1 = 9[/tex]
[tex]x = 9 - 1[/tex]
[tex]x = 8[/tex]
Show that your solution is correct through checking.Put x = 8[tex]8 + 1 = 9[/tex]
[tex]9 = 9[/tex]
Hence, Verified!
This year, The Lexington Times had 12,698 subscribers. That is 40% more than they had last year before the paper was bought out. How many subscribers did the paper have last year?
Answer:
They had 7,618.8 subscribers last year.
Let me know if this helped :)
Step-by-step explanation:
We need to find 40% of 12,698
To do that, we need to multiply 12,698 by the decimal form of 40%.
12,698*0.40=5,079.2
Then, we need to subtract 5,079.2 from the amount of subscribers we had this year.
12,698-5,079.2= 7,618.8
Write two expressions (with at least two terms each) that when added together have a sum of -4 n + 6.
100 POINTS AND BRAINLIEST
Answer:
8n-4n +(6x2)-6-8n
24n+8 - 20n -(2n x 4n)-2
Step-by-step explanation:
#1
Take -8n+5 and 4n+1
-8n+5+4n+1-4n+6#2
Take -2n+4 and -2n+2
-2n+4-2n+2-4n+6Pls Help As Quick As Possible
Answer:
2.129
Step-by-step explanation:
So, 3.157 - ______ = 1.028
Add the blank to the other side:
3.157 = 1.028 + ______
Now subtract the 1.028
3.157 - 1.028 = ______
3.157 - 1.028 = 2.129
Nice handwriting, if that's yours.
Answer:
2.129
Step-by-step explanation:
Please help i do not understand how to solve this type of question
Find the average rate of change of a function given its equation
Step-by-step explanation:
It's just asking you to find the slope
Plug in x=2 into given function. Then you will get f(2). Do the same to find f(5).
Then you can use slope formula to find the answer
Question in the image
Step-by-step explanation:
MN and JK are parallel lines. So those two angles are going to be corresponding angles which means their measurements are the same
4x+56 = 7x +53
3=3x
x=1
LKJ = 4(1)+56= 60
12) Gia is playing a game of basketball. She has a 25% chance of making a free throw.
During her game she shoots two free throws.
a) What is Gia's probability of making zero free throws?
b) What is Gia’s probability of making one free throw?
c) What is Gia’s probability of making two free throws?
Answer:
A) 3/4
B) 1/4
C) 1/2 / 2/4
Step-by-step explanation:
Please help with math questions
Answer:
See answers below
Step-by-step explanation:
Problem 1
Recall that [tex]tan(A+B)=\frac{tanA+tanB}{1-tanAtanB}[/tex] and that [tex]tan(\frac{\pi}{4})=1[/tex]. Using these two facts, we can rewrite the expression:
[tex]\frac{1+tanx}{-1+tanx}\\\\-\frac{1+tanx}{1-tanx}\\ \\-\frac{tan(\frac{\pi}{4})+tanx}{1-tan(\frac{\pi}{4})tan(x)}\\ \\-tan(x+\frac{\pi}{4})\\ \\tan(\frac{3\pi}{4}-x)[/tex]
Hence, the first choice is correct
Problem 2
[tex]cos(\frac{x}{2})=\sqrt{3}-cos(\frac{x}{2})\:;\: 0\leq x < 360^\circ\\\\2cos(\frac{x}{2})=\sqrt{3}\\ \\cos(\frac{x}{2})=\frac{\sqrt{3}}{2}\\\\\frac{x}{2}=\frac{\pi}{6}+2\pi n,\frac{11\pi}{6}+2\pi n\\ \\ x=\frac{\pi}{3}+4\pi n,\frac{11\pi}{3}+4\pi n\\ \\ x=60^\circ+720n^\circ, 660^\circ+720n^\circ\\\\x=60^\circ[/tex]
It's helpful to use the unit circle to solve these kinds of problems. Therefore, the third answer is correct.
Problem 3
Because [tex]sin\theta=-\frac{5}{13}[/tex] and our parameters are [tex]\pi < \theta < \frac{3\pi}{2}[/tex], the triangle must be in Quadrant III where [tex]sin\theta < 0[/tex] and [tex]cos\theta < 0[/tex].
You may recall the double angle formula [tex]sin2\theta=2sin\theta cos\theta[/tex]. We can find [tex]cos\theta[/tex] using [tex]sin\theta[/tex] with the Pythagorean Identity [tex]sin^2\theta+cos^2\theta=1[/tex] keeping our parameters in mind:
[tex]sin^2\theta+cos^2\theta=1\\\\(-\frac{5}{13})^2+cos^2\theta=1\\ \\\frac{25}{169}+cos^2\theta=1\\ \\cos^2\theta=\frac{144}{169}\\ \\cos\theta=-\frac{12}{13}[/tex]
Thus, [tex]sin2\theta=2sin\theta cos\theta=2(-\frac{5}{13})(-\frac{12}{13})=2(\frac{60}{169})=\frac{120}{169}[/tex], which means the third option is correct.
Explain how the distributive property and the commutative property of addition
are used in the Example to show that 2(x + 1) + 2x is equivalent to 4x + 2.
Answer:
2 times a number, plus 1, plus 2 times a number, is equal to 4x + 2.
The way they factored ↓
2 x 2 = 4
4x = 4 times a number or itself multiple times
4 + 2 is the same as a number times 1 equals 2.
If that's the case, x = 2.
Hope this helps!If so, give thanks!what is the value of X?
Answer:
27 is ta value of x because.. first of all add allthose threee sides
3(x+2)+ 35+ 52=180(the sum of triangle)
or, 3x+6+35+52=180
or,3x=180-93
or,x=87/3
Therefore, the value of x is 29
Step-by-step explanation:
mark me as main brainliest please
Mrs Galicia gave her sisters $3000 each to invest. The investment will last 8 years. The table shows what each sister did with their investment and how it changed over 8 years. Use the chart to answer the following questions please
1. What is the balance of Michelle's $3000 after 8 years?
2. What is the balance of Kristen's $3000 after 8 years?
3. What is the balance of Gabriella's $3000 after 8 years?
4. What is the balance of Judy's $3000 after 8 years?
5. Who has the most money at the end of the 8 years? If i were to choose one of the options to use for my own money, which option should I choose?
Michelle's investment balance after 8 years is $10,790.48.
Kristen's investment balance after 8 years is $3,770.55.
Gabriella's investment balance after 8 years is $24,780.42.
Judy's investment balance after 8 years is $3618.62.
The person with the highest amount of money at the end of the 8 years is Gabriella. If I were to choose one of the investment options, I would choose Gabriella's option.
What are the formulas that can be used to determine the balance of the sisters?The formula that can be used to determine the future value of the investment with compounding is:
FV = P (1 + r)^nm
Where:
FV = Future valueP = Present valueR = interest rate / number of compoundingm = number of compoundingN = number of yearsFuture value with continuous compounding = : A x e^r x N
Where:
A= amounte = 2.7182818N = number of yearsr = interest rateWhat is Michelle's balance after 8 years?Future value with monthly compounding = $2000 x ( 1 + 0.035/12)^(12 x 8) = $2645.18
Future value with continuous compounding: 1000 x e^0.018 x 8 = $8,145.30
Total = $8,145.30 + $2645.18 = $10,790.48
What is Kristen's balance after 8 years?Future value with quarterly compounding = 2500 x (1 + 0.012 / 4)^(4 x 8) = $2,751.50
Future value with quarterly compounding = 500 (1 .0225)^(8x4) = $1019.05
Total = $3,770.55
What is Gabriella's balance after 8 years?$3000 x e^0.032 x 8 = $24,780.42
What is Judy's balance after 8 years?Future value with exponential increase = 1050 x (1.015)^8 = $1,182.82
Future value with biannual compounding = 1950 x (1 + 0.028/2)^(8 x 2) = $2435.80
Total = $3618.62
To learn more about future value, please check: brainly.com/question/18760477
I need help on this question for math
Answer:
y = -12
Step-by-step explanation:
any equation with only an x or y value present will either be a vertical or horizontal line. Because the y axis is vertical, a line that is present on y=-12 will sit on y=-12 forever, and therefore be a horizontal line
Answer:
[tex]\displaystyle y = -12[/tex]
Step-by-step explanation:
If any quantity is set equivalent to y, then it is a horisontal line. In other wourds, it is considered a zero rate of change [slope].
I am joyous to assist you at any time.
Jeremy is taking a photography class, but he doesn't own a camera. The class organizers will rent him a camera for $6 per day. Jeremy can spend up to $50 for the class, but he has to pay $15 to register for the class as well as rent the camera. The number of days, d, that Jeremy can rent the camera is represented by the inequality 6d + 15 < 50. Select the number of days Jeremy can rent the camera with the money he has.
Answer:
he can rent the camera for 5 days and will have $5 left over
Step-by-step explanation: he only has $50 , and he has to pay 15 to register which will leave him with 35 left over and then he pays $6 each day and it would be 5 days of renting.
50-15+35
6x5=30 which means he pays $6 everyday for 5 days
which will leave $5 left over
For the following equation, find y when x = -3. y = x When x = -3, y = _____
Answer:
This is the answer.
Step-by-step explanation:
but I think you dont write the question fully.
answer: it's literally -3
What’s the answer to this question y’all
Answer:
First choice
Step-by-step explanation:
He must ride 60 - 12 miles during the 6 days
Every day he rides x miles, 6 days, 6x miles
so 60 - 12 = 6x
First choice
Please help with math !! i am stuck
Graphing an interger function and finding its range for a given domain
Answer:
[tex]\{-9,-1,5,7\}[/tex]
Step-by-step explanation:
The range would be the corresponding y-values for the given set:
[tex]h(-5)=2(-5)+1=-10+1=-9\\\\h(-1)=2(-1)+1=-2+1=-1\\\\h(2)=2(2)+1=4+1=5\\\\h(3)=2(3)+1=6+1=7[/tex]
Thus, the range of [tex]h[/tex] using set notation is [tex]\{-9,-1,5,7\}[/tex]. Also, see attached graph.
the circumference of a circular patio is 53 2/7 ft. what is the area of the patio. use 22/7 for pi. round to the nearest hundredth
Answer:
I think it is A≈225.77
Step-by-step explanation:
37 times 9 then add 555 then divided by 9, ok
37 * 9 = 333
333 + 555 = 888
888/9 = 98.666666666666666666666666666667
Hope that helps!
Answer:
98.67
Step-by-step explanation:
Step 1 :
37 x 9 = 333
Step 2 :
333 + 555 = 888
Step 3 :
888 / 9 = 98.67
if 3 cubic centimeters fill the botton layer of a box and the box fits 6 layers what is the volume of the box
Total layers=6
Total volume:-
6(3)18cm^3a text book store sold a combined total of 411 psychology and math textbooks in a week. the number of math textbooks sold was 63 less than the number of psychology textbooks sold. how many textbooks of each typer were sold
Guys pls help my solve this math question asap!!!!
Answer:
option B
Step-by-step explanation:
option B is correct
House payments work the exact same way except banks usually give you 15 to 30 years to pay it off. What would your monthly payment be on a house if you took a loan out for $85,000 with an APR of 7.1% and you were going to pay it back over a term of 30 years on a monthly basis?
(Also, with houses you can expect to pay another $100 - $300 per month in taxes and insurance depending on where you live and the price of the house.)
The monthly payment is
Question Blank This means you actually pay
Blank for a house that costed $85,000 initially. *This is why it's best to pay off loans early!*
652.23 571.23 489.65 90,200.30 120,642.80 205,641.78
Using simple interest, it is found that the monthly payments are of $739.00.
Simple InterestSimple interest is used when there is a single compounding per time period.
The amount of money after t years in is modeled by:
[tex]A(t) = A(0)(1 + rt)[/tex]
In which:
A(0) is the initial amount.r is the interest rate, as a decimal.In this problem:
The loan is of A(0) = 85000.The rate is of r = 0.071.The term is for 30 years, hence t = 30.Then, the total amount will be of:
[tex]A(t) = A(0)(1 + rt)[/tex]
[tex]A(t) = 85000[1 + 30(0.071)][/tex]
[tex]A(t) = 266050[/tex]
In 30 x 12 = 360 monthly payments, hence:
266050/360 = 739.
The monthly payments are of $739.00.
More can be learned about simple interest at https://brainly.com/question/25296782
If g(x)=6/(x-3) find g(5)
Answer:
the answer is 3
Step-by-step explanation:
function notation is the way a function is written.
choose the sentence that complete the fact family like 2×9=18 18÷9=2 9×2=18 is it a 36÷2=18 b 18÷6=3 c 36÷18=2 d 18÷2=9 is it abc or d
Answer:
D. 18 ÷ 2 = 9
Step-by-step explanation:
The equation matches the equation 18 ÷ 9 = 2
The other equations do not match the previous equations because the previous three equations didn't have a 36 or the number six
I hope this helps!
Answer:
d 18÷2=9
Step-by-step explanation:
The answer is d because the fact family contains 2,9and18.
2×9=18, 18÷9=2and 9×2=18 are already solved. so all you need to do is to study the question and the answer very well.
To find the answer you need to look at the numbers in the question carefully an look for it in the answer.
What is 4/5+2/7? Please help!
Answer:
24/35
Step-by-step explanation:
Vector v is shown in the graph.
vector v with initial point at 0 comma 0 and terminal point at negative 8 comma 6
Which are the component form and magnitude of v?
v = ❬–8, 6❭; ||v|| = –10
v = ❬8, 6❭; ||v|| = –10
v = ❬8, 6❭; ||v|| = 10
v = ❬–8, 6❭; ||v|| = 10
Question 5
Vector v is shown in the graph.
vector v with initial point at 2 comma 5 and terminal point at negative 3 comma negative 2
Which are the magnitude and direction of v? Round the answers to the thousandths place.
||v|| = 8.602; θ = 54.462°
||v|| = 8.602; θ = 234.462°
||v|| = 9.220; θ = 54.462°
||v|| = 9.220; θ = 234.462°
Question 4
Answer: Choice DExplanation:
If the initial point is the origin, the coordinates of the terminal point form the vector itself in component form. We go from (-8,6) to <-8,6>. The notation change is from ordered pair to vector format.
We have a right triangle with legs of 8 and 6 units. The pythagorean theorem will help us determine the hypotenuse is 10. Therefore, the vector length is 10 units and we would say ||v|| = 10. We have a 6-8-10 right triangle.
===========================================================
Question 5
Answer: Choice BExplanation:
Vector v starts at (2,5) and ends at (-3,-2).
The x component of the vector is x2-x1 = -3-2 = -5 meaning we move 5 units to the left when going from the start point to the endpoint.
At the same time we move 7 units down because y2-y1 = -2-5 = -7 which is the y component of the vector.
The component form of vector v is
v = <-5, -7>
it says "move 5 units left, 7 units down".
Apply the pythagorean theorem to find the length of the vector.
a^2+b^2 = c^2
c = sqrt(a^2 + b^2)
||v|| = sqrt( (-5)^2 + (-7)^2 )
||v|| = 8.602 which is approximate.
Now let's use the arctangent function to find the angle
theta = arctan(b/a)
theta = arctan(-7/(-5))
theta = 54.462 which is also approximate.
There's a problem however. This angle is in Q1 but the vector <-5,-7> is in Q3. An easy fix is to add on 180 to rotate to the proper quadrant.
54.462+180 = 234.462
which is the proper approximate angle for theta.
Select the correct answers in the table.
Rachel enjoys exercising outdoors. Today she walked miles in hours. What is Rachel’s unit walking rate in miles per hour and in hours per mile?
Step-by-step explanation:
she walked 5 2/3 miles in 2 2/3 hours.
so, the unit rate (speed) is 5 2/3 miles / 2 2/3 hours.
for the regular miles/hour speed we need to this back to x miles/ 1 hour.
we start by creating full fractions :
17/3 miles / 8/3 hours = 17/3 × 3/8 miles/hour =
(17×3)/(3×8) = 17/8 = 2 1/8 miles/hour
and for hours/mile we need to flip this upside-down:
8/3 / 17/3 = 8/3 × 3/17 = 8/17 hours/mile
helpp? show work pls
Answer:
91°
Step-by-step explanation:
We first add 75 and 14 which is equal to 89°. Now, we know that a full triangle angle is 180° . We then calculate 180°-89° which gives us the final answer 91°.
Ps: 91 rounded to the nearest tenth is equal to: 91.0
2) Draw a model that shows 2 items being divided equally for 5 people,
How much will each person have?
Answer:
0.4
Step-by-step explanation:
I can't draw a model, but I will give you an equation!
Two items are going to be divided amongst five people:
2/5=0.4
Each person will get 0.4 OR 4/10 of the two items.
Here's a math problem you could use:
Henry and his 4 friends want to eat some chocolate, but there's only two bars, Henry suggests that they just split it equally. If everyone get's an equal share, how much did each get? Everyone got 0.4 of the two chocolate bars.
Each person will get 0.4 OR 4/10 of the two items.
If OB' = 5 cm and BB' = 7.5 cm what is the scale factor of the dilation?
Please answer! Will give Brainliest!
The scale factor of the dilation can either be increased or decreased or enlarged or reduced but for the given parameters, the scale factor of the dilation is; 1.5
What is the scale factor?In dilation, the figure or image could be either enlarged or reduced. Now, we are told that OB' = 5cm and it was dilated to BB' which is 7.5 cm.
We can see that the length increased from 5 cm to 7.5cm. Thus, we can find the scale factor of dilation from;
Scale Factor = BB'/OB' = 7.5/5
Scale Factor = 1.5
Read more about scale factor at: https://brainly.com/question/10253650