Answers
Answer:
a. x = 4.8989794855663561963945681494118 or 4.9 rounded
b. x = 8.6023252670426267717294735350497 or 8.6 rounded
Step-by-step explanation:
7² - 5² = x²
49 - 25 = x
49 - 25 = 24
√24 = 4.8989794855663561963945681494118
7² + 5² = x²
49 + 25 = x
49 + 25 = 74
√74 = 8.6023252670426267717294735350497
Related Questions
what is 713.49 written as a standard form
Answers
Suppose y varies directly with x. If y = −12 when x = −4, find x when y = 24.
Answers
Answer:
8
Step-by-step explanation:
y=kx
-12=-4k
k=3
24=3x
x=8
y=kx
-12=-4
k=3
24=3x
X=8
Evaluate: log279
I just need the answer
Answers
Answer:
2.44560420
Step-by-step explanation:
Need urgent help if possible
Answers
Answer:
There was a mistake in line D
===========================================================
Explanation:
Note in the previous line C that Noah multiplied both sides by 5. This is to clear out the fractions, since each have a denominator of 5.
In line D, Noah only multiplied those outer '5's by the first term in each parenthesis group. He didn't use the distributive property correctly.
The distributive property is a*(b+c) = a*b+a*c.
The 'a' is multiplied to everything inside, which are the terms b and c.
-------------------------------
Here are what the steps should look like from line D and onward. Take note of the 30 and 100. This is from 5*6 = 30 and 5*20 = 100.
D) 7*14 - 30 = 12*14 - 100E) 98 - 30 = 168 - 100F) 68 = 68We end up with the same thing on both sides. So this confirms that x = 14/5 is the solution to the original equation.
i have no idea what this means pls help lol
Answers
Find the value of x. Please Helppp
Answers
Answer:
x = 18
Step-by-step explanation:
Both angles together make 180, they are essentially supplementary angles thou not on the same line.
Set your formula up as
81 + 5x + 9 = 180
5x = 180 - 81 - 9
5x = 90
x = 90/5
x = 18
Ella is building fruit baskets and is filling them with apples and oranges. She has 48 apples and 60 oranges, and wants to make sure each each fruit basket has the same number of apples and oranges with no fruit left over. Choose all options that can be used to make fruit baskets? Select all that apply.
Answers
Answer:
Ella could make:
2, 3, 4, 6, or 12 fruit baskets.
Step-by-step explanation:
We know that Ella has 48 apples and 60 oranges.
She wants to make N fruit baskets, such that each one of these fruit baskets has the same number of each fruit.
So we can define the variables:
a = number of apples in each one of these baskets
o = number of oranges in each one of these baskets
Then, if we have N baskets, we must have that:
N*a = 48
N*o = 60
a = 48/N
o = 60/N
And the values of a and o must be integers, then N must be a common factor of 48 and 60.
Remember that every number can be written as a product of prime factors, then let's rewrite 48 and 60 in that way:
48 = 2*24 = 2*2*12 = 2*2*2*2*3
60 = 2*30 = 2*3*10 = 2*2*3*5
Then, the common factors between 48 and 60 are the ones we can make with the prime numbers (that appear in both constructions) these are:
2
3
2*2 = 4
2*3 = 6
2*2*3 = 12
These are all the possible numbers of fruit baskets.
a die has six faces numbered 1 to 6 .on a single roll of the die ,find the probability of getting 10
Answers
Answer:
3/36
Step-by-step explanation:
Vig compro un videojuego que tenía un descuento de 60%y pago $39 cual es el precio original del videojuego
Answers
Answer:
Precio original= $97.5
Step-by-step explanation:
Dada la siguiente información:
Precio de venta (con descuento)= $39
Porcentage de descuento= 60%
Para calcular el precio orinigal del videojuego, debemos usar la siguiente formula:
Precio original= precio de descuento / (1 - porcentage de descuento)
Precio original= 39 / (1 - 0.6)
Precio original= $97.5
Marisa is buying a vase of red roses for Mother's day. The florist charges $12.00 for a vase Marisa selected plus $4.75 per rose. Determine an equation to represent the cost of the bouquet, C, in terms of the number of roses in the bouquet, r. If Marisa has saved $55 to get her Mother's Day bouquet, how many roses can she have the florist put in the vase?
Answers
Answer:
8 Roses
Step-by-step explanation:
Y = 15 + 4.50X
51 = 15 + 4.50X
51 - 15 = 4.50X
36 = 4.50 X
360 = 45x
360/45 = x
x = 8
A store owner wants to sell 200 pounds of pistachios and walnuts mixed together. Walnuts cost 4 dollars per pound and pistachio cost 6 dollars per pounds. How many pounds of each type of nuts should be mixed if the store owner will charge 5 dollars for the mixture?
Answers
Answer:
ᕼᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᕼᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᕼᓰᓰᓰᓰᓰᕼᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰ
Step-by-step explanation:
ᕼᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᕼᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᓰᕼᓰᓰᓰᓰᓰᕼᓰᓰᓰᓰᓰᓰᓰᓰᓰ
the sum of a and 3a is
Answers
[tex]\boxed{4a}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]a + 3a \\ = 4a[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.ඞ}}}}}[/tex]
Answer:
Step-by-step explanation:
a+3a
since they are like terms u can add them
=4a
therefore a+3a=4a
what is the answer on this question
Answers
Your Answer..
V=10in³
Hope This Helps You
find the value of x pls help
Answers
Answer:
x = 15°
Step-by-step explanation:
First Identify the angle of x by subtracting 180° - 120° = 60°
Always remember when you see a straight line the line measures 180°
So the angle of x = 60° but not the value of x so use the given equation to find the value of x
3x + 15 = 60°
3x - 15 = -15°
3x = 45
x = 15°
These are the first six terms of a sequence starting with a1 = 80:
80, 40, 20, 10, 5, 5/2, ….
Find a recursive formula for this sequence that is valid for n > 1.
Write your answer in simplest form.
an=?
Answers
Answer:
[tex]a _{n} = a( {r}^{n - 1} ) \\ a _{n} = 80(2 {}^{n - 1} ) \\ a _{n} = \frac{80. {2}^{n} }{ {2}^{ 1} } \\a _{n} = 40( {2}^{n} ) \\ a _{n} = ( {2}^{3} \times 5)( {2}^{n} ) \\ a _{n} = 5( {2}^{n + 3} )[/tex]
use logarithm table to solve (0.7634)^4
Answers
Answer:
[tex]y = {(0.7634)}^{4} \\ log(y) = 4 log(0.7634) \\ log(y) = - 0.46899 \\ y = {10}^{ - 0.46899} \\ y = 0.3396[/tex]
Someone please help me out!!
Answers
Answer:
That's a right angled Triangle
When viewed upside down
(HINT: 50 can't possibly be the adjacent; Why? Its the longest side(Hypotenuse)... You can also know this by identifying the part of the triangle directly facing the 90° sign)
tanA= Opp/Adj
tanA= 30/40
tanA= 3/4
OPTION D SEEMS LEGIT!!!
What is the length of the hypotenuse?
Answers
Answer:
65 cm
Step-by-step explanation:
16^2 x 63^2 = 65^2
I need help please.......
Answers
Answer: I and III
Step-by-step explanation:
The origin is at (0,0).
When we look at the graph, we can see that the only visible x and y intercepts are at the origin, (0,0) (an x or y intercept is where the graph intersects the x or y axis). We also know that because the graph is going outwards, it will not have another x or y intercept. So, I is correct.
II would be incorrect because the maximum point would be WAY further up. The maximum point is the highest point the graph will reach.
III is correct because the origin is the lowest point, which means that the origin is the minimum point.
A new LED light bulb uses 10 watts of power. Since
energy
=
power
×
time
, then the energy used for this light bulb can be found my multiplying the power times the time the bulb is lit. If the bulb is lit for one hour, the energy used will be 10 watt*hours or 10 Wh. If three 10 watt bulbs in one room are kept on for 5 hours, how many watt*hours of energy are used?
Parents sometimes yell at their children for leaving the light on in their bedroom when they aren't in the room. If the child's room is lit with two 10 watt bulbs for one extra hour a day for everyday of the year (365), and the cost of energy is $0.068 per kilowatt*hour (kWh), how much money is wasted on lighting that isn't being used, to the nearest cent.
Answers
Answer:
150 Wh
I guess the question means, how much money is wasted on lighting in a year ?
$0.50
Step-by-step explanation:
3 × 10W × 5 hours = 150 Wh
2 × 10W × 1 hour × 365 × 0.068 / 1000
divided by 1000, because the price is in kWh (1000 Wh), but the rest of the calculation refers to W. so, we need to bring all factors to the same dimension. the division by 1000 either brings the Wh to kWh, or the price to the price for Wh (instead of kWh). it does not matter which one. just one of these 2 things have to happen here, so that all factors have the same dimension.
=> 20 × 365 × 0.068 / 1000 = 7300 × 0.068 / 1000 =
= 7.3 × 0.068 = $0.50 (rounded from 0.4964)
Quadrilateral HIJK is similar to quadrilateral LMNO. Find the measure of side OL. Round your answer to the nearest tenth if necessary. Figures are not drawn to scale.
Answers
Answer:
x = 77.5
Step-by-step explanation:
1. Use cross-multiplication to find x.
[tex]\frac{13}{21} =\frac{48}{x}[/tex]
[tex]13x =1008[/tex]
2. Divide and round.
x ≈ 77.5
Fraction of the diagram is shade
Answers
Answer:
10/30 is the fraction of the diagram shade
PLEASE HELP ME!!! ILL GIVE BRAINLIEST IF ITS RIGHT
Answers
Answer:
266.386
Step-by-step explanation:
im not shore if its right, i used a surface area calculator
Answer:
56ft
Step-by-step explanation:
Surface area is adding up all the sides multiplied by 2, so:
8 x 2 = 16ft
8 x 2 = 16ft
12 x 2 = 24ft
24ft + 16ft + 16ft = 56ft
write a liner equation that passes through the point (2, -9) and has a slope of -5
Answers
Answer:
y=-5x-9
Step-by-step explanation:
Find the vertex of the graph of the equation $y = -2x^2 + 8x - 15.$
Answers
Answer:
(2,-7)
Step-by-step explanation:
Help quick please!!!
What Is the equation in slope-intercept form of the line that passes through the point (0-4) and is parallel to the line represented by y = x +4?
O y = 2x - 6
O y=-x+6
O y=-2x5
O y=x-4
Answers
Answer:
y = x-4
Step-by-step explanation:
y = x +4
This has a slope of 1 since it is in the form y = mx+b where m is the slope and b is the y intercept
Parallel lines have the same slope
The line we are interested in passes through the point (0,-4) which means it has a y intercept of -5
y = mx+b
y = 1x-4
y = x-4
Jaime needs to buy a new refrigerator for his apartment. He found what he needed for
$1,300 at a well-known appliance store. The store is offering two options for Jaime to
finance the appliance:
Option: A store credit card with a $1,500 limit:
1) The credit card charges 16.5% annual interest rate
2) The minimum monthly payment is $100 plus the monthly
finance charge
3) No down payment required
4) The loan is expected to be paid off in 12 months to avoid
additional penalties
Option II: The appliance store offers an installment loan for his purchase:
Loan charges a simple interest rate of 12,5%
2) Loan must be paid off in 12 equal payments to avoid penalties
A $300 down payment is required
A Which Option should Jaime choose if he wants the interest he pays to be as
small as possible?
Answers
The second option should be chosen as it depicts the amount with the lowest interest.
How to calculate the interestFor option 1, the annual interest will be:
= $1300 × 16.5% = $214.50
The monthly finance charge will be:
= $1300 × (0.165/12)
= $17.88
The minimum monthly payment for the first month will be:
= $100 + $17.88 = $117.88
Hence, the total amount paid will be:
= ($117.88 × 12) + $214.50
= $1629.06
For option 2, the simple interest will be:
= (1300 × 12.5%)
= $162.50
The amount that will be paid monthly will be:
= $1000/12
= $83.33.
In this case, the total amount paid will be:
= $162.50 + $1300
= $1462.50
Therefore, the second option is better as it's cheaper.
Learn more about interest on:
https://brainly.com/question/2294792
QUICK I NEED HELP!!! I'll mark brainliest!
Which is a statistical question that could have been asked to collect the data shown on the dot plot?
1.How many student's are in your school?
2.On what day in July is Independence Day?
3.How many televisions do the families in your neighborhood own?
4.What is the height of your classroom door?
Answers
Answer:
How many televisions do the families in your neighborhood own?
Answer:
Step-by-step explanation:
There is no dot plot so I can’t help
plz help me plz help me plz help me I don't want to get grounded the whole summer the question is. the window has the shape of a kite how many square meters of glass were used to make the window?n
Answers
Answer:
1800
Step-by-step explanation:
Just find the area of all the triangles and add
Answer:
18 metres squared
Step-by-step explanation:
it looks like you want to find the area of the kite as a whole, and lucky for you, the kite is conveniently cut into right triangles.
to find the area of a right triangle, you use the equation
A = (b × h)/2
where A is the area, b is the base, and h is the height.
now we plug in the numbers for each individual area and solve for the total area.
let's start with the 1st triangle, where it's base is 30cm and the height is 25 cm.
A = (30 × 25)/2
A = 375 cm squared
now the next one whose base is 30 and it's height is also 25 (We just did this last time so the area is the same)
A = 375 cm squared
now we'll do the next one whose base is 30 and height is 35.
A = (30 × 35)/2
A = 525 cm squared
and the last one is the same as the one we just did so I'll just copy the other answer.
A = 525 cm squared
alright now we'll add up all of the areas we just found to get the total area of the kite.
Total A = 375 + 375 + 525 + 525
Total A = 1800 cm squared
now we will divide our total by 100 because it takes 100 centimetres to get 1 metre and what we have right now is centimetres.
1800/100 = 18 metres squared.
Can someone help!!!?
Answers
Answer:
f^(-1)(x) = 1/5x
Step-by-step explanation:
[tex] \large{f(x) = mx + b \longrightarrow f^{ - 1} (x) = \frac{x - b}{m} }[/tex]
Inverse Function is when we swap the x-term and y-term. Here is an explanation to the inverse of linear function above.
[tex] \large{f(x) = mx + b}[/tex]
Here we define f(x) = y. It is better to use y instead of f(x)
[tex] \large{y = mx + b}[/tex]
Swap x-term and y-term.
[tex] \large{x = my + b}[/tex]
Arrange/Simplify in the y-isolated equation.
[tex] \large{x - b = my} \\ \large {\frac{x - b}{ m} = y} \\ \large{ y = \frac{x - b}{m} }[/tex]
Since the function is in inverse form. It's recommended to use f^(-1) to point out that the function is an inverse of the original function.
[tex] \large \boxed{ {f}^{ - 1} (x) = \frac{x - b}{m} }[/tex]
Hence, y = (x-b)/m is an inverse of y = mx+b. A one-to-one function can have an inverse form. Back to the question!
We are given the linear function:
[tex] \large{f(x) = 5x}[/tex]
We will be using substitution method by substituting the original function in inverse form.
Since we know that the slope is 5 and doesn't have y-intercept which is b-value. Hence
[tex] \large{ {f}^{ - 1} (x) = \frac{x - 0}{5} } \\ \large{ {f}^{ - 1} (x) = \frac{x }{5} } \\ \large{ {f}^{ - 1} (x) = \frac{1}{5} x}[/tex]
Or we swap x-term and y-term.
[tex] \large{f(x) = 5x} \\ \large{y = 5x} \\ \large{x = 5y} \\ \large{ \frac{x}{5} = y} \\ \large{y = \frac{x}{5} = \frac{1}{5} x} \\ \large{ {f}^{ - 1} (x) = \frac{1}{5} x}[/tex]