Final answer:
To find the length of FG in triangle FGH, we can use the Pythagorean Theorem. By substituting the given values into the formula and solving for FG, we find that FG is approximately 27.9 units.
Explanation:
To find the length of FG, we can use the Pythagorean Theorem, which states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
In this case, FH and GH are the two sides of the right triangle FGH, and FG is the hypotenuse. So we have FH² + GH²= FG².
Substituting the given values, we have 10² + 26² = FG². Simplifying this equation, we get 100 + 676 = FG². Adding the numbers gives us 776 = FG². And taking the square root on both sides, we find that FG ≈ 27.9 units.
a clothing store offers a free t-shirt when a customer spends $75 a month lyndon and has already spent $36.95 which statement best represents all of the amounts he can spend to get a free t-shirt
A.$34.05 or more
B.$34.05 or less
C.$38.05 or more
D.$38.05 or less
What is the equation of a line with a slope of 7 and a point (1, 8) on the line?
Express the equation in the form of y = mx + b, where m is the slope and b is the y-intercept.
Enter your answer in the box.
Answer:
y = 7x + 1
Step-by-step explanation:
If the slope and coordinates have already been given, you can plug the values into the following equation of a line:
y - y1 = m(x - x1)
Where y1 is the y coordinate, so in this case 8,
x1 is the x coordinate which is 1
m is the slope, so 7:
y - 8 = 7(x - 1)
Expand the brackets:
y - 8 = 7x - 7
To isolate the y, we need to move the -8 over to the other side making it a positive 8:
y = 7x - 7 + 8
y = 7x + 1
So the equation of the line is y = 7x + 1
Mr. Sprocket borrows $3,500 from his bank to buy a used car. The loan has a 7.4% annual simple interest rate. If it takes Mr. Sprocket two years to pay back the loan, what is the total amount he will be paying?
Answer:
the correct answer is $4018
Rons class donated d dollars to a local charity Danny’s class donated 21% more than Ron’s class witch expression shows the amount Danny’s class donated in terms of the amount donated by Ron’s class
Answer:
1.21d
Step-by-step explanation:
21% more = times 1.21
so Ron's class donated 1.21 times danny's class, therefore the expression for the amount ron's class donated in terms of danny's class is 1.21 d
What is the complete factored form of the polynomial 25ab^2+5ab
Answer:
5 a b (5 b + 1)
Step-by-step explanation:
Factor the following:
25 a b^2 + 5 a b
Hint: | Factor common terms out of 25 a b^2 + 5 a b.
Factor 5 a b out of 25 a b^2 + 5 a b:
Answer: 5 a b (5 b + 1)
Solve this for me please??
Answer: 4 cups of milk
=============================
Work Shown:
2 & 1/2 = 2 + 1/2 = 2+0.5 = 2.5
2.5 cups of milk makes 5 servings
x cups of milk makes 8 servings
Divide the cups of milk over the servings to get this proportion
2.5/5 = x/8
Cross multiply and solve for x
2.5/5 = x/8
2.5*8 = 5*x
20 = 5*x
5*x = 20
x = 20/5
x = 4
You need 4 cups of milk to make 8 servings
Which is an equation of the line that is perpendicular to 3x+y=-5 and passes through the point (3, -7)?
Answer:
y+7=1/3(x-3) in point slope
y=1/3x-8 in slope intercept form
Step-by-step explanation:
First put 3x+y=5 in slope-intercept form (y=mx+b)
y=-3x+5
Give that the slope is -3 the perpendicular slope would be 1/3
now using the points (3.-7)
y+7=1/3(x-3) in point slope
y=1/3x-8 in slope intercept form
Put it in Slope - Intercept Form:
3x + y = -5
-3x -3x
y = -3x - 5
Now plug in the ordered pair that is given:
(3, -7)
y = -3x - 5
-7 = -3(3) - 5
-7 = -9 - 5
-7 = -14
NO, it's false....
Hi, really really sorry if I am incorrect...
find the leagth of x
Answer:
As a fraction, the answer is 5/2
In decimal form, the answer is 2.5
=====================================
Explanation:
The triangles are similar (AA similarity property) so we can solve the proportion below
x/3 = 5/6
6*x = 3*5
6x = 15
x = 15/6
x = 5/2
x = 2.5
20. What should be the top item on a list of your life goals?
A. A goal that's most important to you
B. A goal that's easily achievable
C. A goal you think others would want you to complete
D. A goal that's financially feasible
Answer:
The most appropriate answer option is A. A goal that's most important to you .
Step-by-step explanation:
The top item on a list of your life goals should be a goal that's most important to you.
One should not give a thought about what others want or expect from you but what you want for yourself and you think is the most important to you.
No matter how difficult or even impossible it may seem to you, you should always stay focused on it and never give up on it. With dedication and consistency, you will be able to manage and ultimately achieve it.
333.333 Which statements are true? Choose all answers that are correct. The 3 in the hundredths place is 110 times the value of the 3 in the tenths place. The 3 in the ones place is 10 times the value of the 3 in the tenths place. The 3 in the thousands place is 10 times the value of the 3 in the hundredths place. The 3 in the thousandths place is 110 times the value of the 3 in the hundredths place. Assessment navigation
Answer:
The only correct answer is the second one, that the three in the tenths place is 10 times the amount in the 100ths place.
Step-by-step explanation:
The others are all wrong because the further the place, the less the value, so they cannot be ANY times the amount of a place closer to the decimal.
Easy question.
Pia, Gauri, Zarna and Yasmin have EQUAL number of pencils.
Each of them ties their pencils in bundles with each bundle containing the same
number of pencils.
- Pia ties 10 pencils together as a bundle.
- Gauri ties 12 pencils together as a bundle.
- Zarna ties 15 pencils together as a bundle.
- Yasmin ties 20 pencils together as a bundle.
Who has the maximum number of bundles?
a) Yalan b) Pia c) Gauri d) Zarna
One line reasoning
Answer:
Pia
Step-by-step explanation:
The smaller the number of pencils in a bundle the greater the number of bundles.
For example if the number of pencils each has is 60,
Then the number of bundles for Pia = 60/10 = 6,
and ...................................................Gauri = 60/12 = 5,
and .....................................................Yasmin = 60/20 = 3.
Answer:
Pia
Step-by-step explanation:
Given JKL : XYZ, find the scale factor DO NOT find x
Answer:
2/3
Step-by-step explanation:
PLZZZ HELP ASAP!!!!!!!
Marie mixes 16 liters of 18% acid solution with a 27% acid solution, which results in 21% acid solution. Let x represent the number of liters of 27% solution used and let y represent the number of liters of mixture. Which system of equations can be used to find the number of liters of 27% acid solution in the mixture?
1. y = x + 16; 0.27y = 0.21x + 2.88
2. y = x + 16; 0.21y = 0.27x + 2.88
3.y = x + 16; 0.21y = 0.27x + 4.32
4. y = x + 16; 0.27y + 2.88x = 0.21
Answer:
2. y = x + 16; 0.21y = 0.27x + 2.88
Step-by-step explanation:
You have two conditions:
Volume of 18 % + volume of 27 % = volume of 21 % Mass of acid in 18 % + mass of acid in 27% = mass of acid in 21 %For the first condition,
16 + x = y Transpose
(1) y = x + 16
=====
For the second condition
V₁c₁ + V₂c₂ = V₃c₃
16×0.18 + 0.27x = 0.21y
2.88 + 0.27x = 0.21y Transpose
(2) 0.21y = 0.27x + 2.88
The system of equations is y = x + 16; 0.21y = 0.27x + 2.88
A sandwich store charges a delivery fee to bring lunch to an office building. One office pays $33 for 4 turkey sandwiches. Another office pays $61 for 8 turkey sandwiches. How much does each turkey sandwich add to the cost of the delivery fee? Explain using equations and graph. Are they able to get 12 sandwiches for $85?
Answer:
No each sandwich costs about 8.25, when multiplied it goes to $99 which is 14 dollars too much
Step-by-step explanation:
Three boxes of candy canes cost 23.97 how many much does each box cost?
Answer:
So you are going to take the total cost and divide it by the amount
Step-by-step explanation:
23.97/3=7.99
Hope that helps feel free to ask more questions
Brainliest??
Factor the expression P^4+3p^3-10p^2
Answer:
[tex]p^2(p+5)(p-2)[/tex]
Step-by-step explanation:
To begin factoring the expression [tex]p^4+3p^3-10p^2[/tex], we use the GCF or greatest common factor. The greatest common factor is the greatest number that will divide into two or more values. We start to find it by factoring each term:
[tex]p^4=p*p*p*p[/tex]
[tex]3p^3: 3*p*p*p[/tex]
[tex]-10p^2: -10*p*p[/tex]
Remember -10 can factor into smaller numbers but since it doesn't have common factors with the others, we've chosen to leave it as -10.
We notice the only common factors bare p*p or [tex]p^2[/tex].
We write in the form p^2(____+_____+_____). We find the inside of the parenthesis by dividing each term by p^2.
[tex]\frac{p^4}{p^2} =p^2[/tex]
[tex]\frac{3p^3}{p^2} =3p[/tex]
[tex]\frac{-10p^2}{p^2}=-10[/tex]
[tex]p^2(p^2+3p-10)[/tex].
We are not finished yet. We have a trinomial (3 terms) which also factors. We factor by splitting the middle term 3p into factors of -10 which add to 3.
--10 = 5 * -2
3p= 5p +-2p
We write [tex]p^2(p+5)(p-2)[/tex].
The product of these slopes is ______.This product shows that the slopes are negative reciprocals. It is given that the lines are perpendicular and we have shown that the slopes of the lines are negative reciprocals.
Answer:
- 1
Step-by-step explanation:
Let the slope of one line be 's' , then according to the given condition that the slope of second line is negative reciprocal of the first , We obtain the slope of the second line as [tex]\frac{-1}{s}[/tex].
So, the product of both the slopes is given by [tex]s\cdot \frac{-1}{s}=-1[/tex]
This shows that whatever the slopes may be if they are negative reciprocal of each other then their product will always be -1
Answer:
it should be a, im pretty sure but not completely
Step-by-step explanation:
Plis help me with this .
Draw graph of function.
f(x)=-2x+2
The function p(t) represents the population of a certain town t years after 2010.
p(t)=3476(0.97)t
What does the value 3476 represent in this situation?
Every year after 2010, the population decreases by 3476.
Every year after 2010, the population increases by 3476.
The population of the town in 2010 is 3476.
The population t years after 2010 is 3476.
Answer:
Population of town in Year 2010 is 3476.
Step-by-step explanation: Formula for the Population after t years is given by P(t) = P (1-i/100)^n
where P is initial population.
Here in question P is initial population.
If we compare the equation given in the question to the problem equation
we have P = 3476 , which is initial population.
Answer:
The population of the town in 2010 is 3476.
Step-by-step explanation:
The sale price of an item is 0.75 the original price of the item, x. Which statement explains why both 3 4 x and 0.75x can find the sale price of the item? The fraction 3 4 is the same as the decimal 0.25. Therefore, 3 4 x can be written as 0.25x. Multiplying by 4 3 is the same as multiplying by 0.8. The expressions are not equivalent. Multiplying by 3 4 is the same as multiplying by 75%.
Answer:
Answer. Multiplying by 3/4 is the same as multiplying by 75%.
Step-by-step explanation:
Last option: Multiplying by 3/4 is the same as multiplying by 75%, because:
3/4=0.75 and
75%=75/100=0.75
then 3/4=0.75=75%
in the equation m = k + 3, m is the:
In the equation m = k + 3, m represents a dependent variable. Hence the correct option is 2.
In an equation, a variable is a placeholder for an unknown value.
"Dependent" means that its value depends on the value of another variable.
In this case, the value of m depends entirely on the value of k.
If you know the value of k, you can solve the equation for m and find its specific value.
k is the independent variable in this equation because its value is not determined by any other variable in the equation.
Hence the correct option is 2.
Complete question:
In the equation m = k + 3, m is the:
Independent variable
Dependent variable
Lee can type 1 1/3 pages every 15 minutes. How many hours does it take him to type 10 2/3 pages
Answer:
2 hours
Step-by-step explanation:
if you can type 1 1/3 pages every 15 minutes than you can type 5 1/3 pages every hour. you divide 10 2/3 pages by how many pages Lee can type every hour and the result is 2 hours
yogi ran 1/5 of a mile in 2/3 of an hour. how far will he run in one hour
I need the answer ASAP
Answer: He would have 20
Step-by-step explanation:
well first you do 15/3=5 which means it was 5 per week =. Then, you multiply 4 x 5=20 to know how much he had over 4 weeks.
PLZ MARK ME AS BRAINIEST !!!!!!!
-3 = t/-15. solve for t.
Answer:
t=45
Step-by-step explanation:
-3=t/-15 step one multiply both sides by denominator
-3 x -15 = 45
Answer:t=45
Step-by-step explanation:
its hard to explain because i do it in my head
A specific distance is approximately 63,500,00 mi. A fly is about 0.18 in. long ???
A) what is the distance written in scientific notation
B) what is the length of a fly written in scientific notation
C) change the distance to inches it would be 5.04×10 to the power of nine if we lined up the flies how many would it take to reach the distance in standard form and scientific notation.
Answer:
Step-by-step explanation:
a) Given that a specific distance is approximately 6350000 miles.
To write this in scientific notation. We know that for writing in scientific notation we must writte the given number as a positive number less than 10 x product of powers of n.
Hence this number
6350000 = 6.35 x1000000 = [tex]6.35x10^6[/tex] miles
b) Length of a fly = 0.18 inches.
To write this in scientific notation. We know that for writing in scientific notation we must writte the given number as a positive number less than 10 x product of powers of n.
so 0.18 = 1.8([tex]1.8(10^{-1}[/tex]
c) Given that distance = 5.04x10^9 inches
To line up number of flies required
= [tex]\frac{5.04x10^9}{0.18} = \frac{504x10^9}{18}=28(10^9)\\Answer is\\28(10^9)[/tex]
In this mathematical problem, the distance of 63,500,000 miles is written in scientific notation as 6.35 x 10^7. The length of a fly, 0.18 inches, is expressed in scientific notation as 1.8 x 10^-1. To find the number of flies to cover the distance, the distance is first converted to inches (5.04 x 10^9), which when divided by the length of a fly results in 2.8 x 10^10, meaning approximately 28,000,000,000 flies would be needed.
Explanation:The student's question involves the use of scientific notation and unit conversion in Mathematics.
Firstly, the distance given as approximately 63,500,000 miles can be written in scientific notation as 6.35 x 10^7 miles. The number is changed to a number between 1 and 10 by moving the decimal point 7 places to the left, hence the exponent 7. Secondly, the length of the fly given as 0.18 inches can be written in scientific notation as 1.8 x 10^-1 inches. The decimal point is moved 1 place to the right resulting in an exponent of -1. Lastly, to find out how many flies it would take to reach the distance, we first need to convert the distance from miles to inches. It is given that the conversion is approximately 5.04 x 10^9 inches. So, if we divide this by the length of a fly, i.e., 1.8 x 10^-1 inches, we would arrive at approximately 2.8 x 10^10 flies in both standard form and scientific notation. That is, it would take about 28,000,000,000 flies to reach the mentioned distance. Learn more about Scientific Notation and Unit Conversion here:
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Martha can paint a room in 2 hours. Jamie can paint the same room in 6 hours. How long, to the nearest tenth of an hour, will it take them to paint the room together?
Answer:
It will take 1.5 hours to paint the room together
Step-by-step explanation:
Martha can paint a room in 2 hours. Jamie can paint the same room in 6 hours.
Work done by Martha in 1 hour = [tex]\frac{1}{2}[/tex]
Work done by Jamie in 1 hour = [tex]\frac{1}{6}[/tex]
Work one together in 1 hour = [tex]\frac{1}{2}+\frac{1}{6}[/tex]
Now take common denominator to add both fractions
LCD = 6, Multiply the first fraction by 3
[tex]\frac{1*3}{2*3}+\frac{1}{6}[/tex]
[tex]\frac{3}{6}+\frac{1}{6}[/tex]
Now add the numerators
[tex]\frac{4}{6}[/tex]
[tex]\frac{2}{3}[/tex]
To find total hours of painting together, we take reciprocal of 2/3
Time taken to paint together = [tex]\frac{3}{2}= 1.5[/tex]
It will take 1.5 hours to paint the room together
The nearest tenth of an hour, will it take them to paint the room together is 1.5 hours.
Given data:
Time taken by Martha to paint a room is, 2 hours.
Time taken by Jamie to pain the same room is, 6 hours.
Then work done by each of Martha and Jamie in 1 hour is given as,
[tex]W_{Martha}=\dfrac{1}{2}\\\\W_{Jamie}=\dfrac{1}{6}[/tex]
Total work done in 1 hour is given as,
[tex]W_{total}=W_{Martha} + W_{Jamie}\\\\W_{total}=\dfrac{1}{2} + \dfrac{1}{6}\\\\W_{total}=\dfrac{6+2}{12} \\\\W_{total}=\dfrac{8}{12}\\\\W_{total}=\dfrac{2}{3}[/tex]
To find total hours of painting together, we take reciprocal of 2/3.
Then, time taken to paint together is, 3/2 = 1.5 hours.
Thus, we can conclude in the nearest tenth of an hour, will it take them to paint the room together is 1.5 hours.
To learn more about it, please refer to the link:
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You downloaded a video game to your computer. You have a 60-minute free trial of the game. It takes 5 minutes to set up the game and 7 minutes to play each level. You want to find out how many levels you can play for free.
Let l represent the number of levels played. Write an inequality to determine the number of levels you can play in 60 minutes.
Answer:
I think the equation is 7l +5=60
Step-by-step explanation:
How do u write 10 x10x10x10 using exponents
Answer: I'm not really sure how to shrink the number to the top but in word form it would be 10 to the power of 4.
what is the value of the exponential expression below?
16^1/2 is the same thing as 2√16.
Simply multiply the result of √16 by 2 to get the answer.
√16 = 4
4 * 2 = 8
The correct answer is 8.