Answer:
d
Step-by-step explanation:
Answer:
fourth option
Step-by-step explanation:
Since the sides are congruent, then the diagonal divides the square into 2 right isosceles triangles.
Thus the 2 base angles are congruent with measure 45°
Hence y = 45
-------------------------------------------------------------
Using the cosine ratio in the right triangle and the exact value
cos45° = [tex]\frac{\sqrt{2} }{2}[/tex] , then
cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{10}[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex] ( cross- multiply )
2x = 10[tex]\sqrt{2}[/tex] ( divide both sides by 2 )
x = 5[tex]\sqrt{2}[/tex]
HELP!! VERY TIME TIME SENSITIVE
Point A lies on the graph of f(x) = 1/2x + 2. Locate the image of point A that lies on the graph of f^-1(x)
A.) (-2, 1)
B.) (2, -1)
C.) (-1, 2)
D. (1, -2)
Answer:
B is your correct answer
Step-by-step explanation:
The image of point A on the graph of f⁻¹(x) has coordinates (x, y) = (3, 2).
What is Inverse of function?The inverse of a function is a new function that "undoes" the original function. More formally, if a function f maps elements of a set X to elements of a set Y, and if there is a function g that maps elements of Y back to elements of X such that g(f(x)) = x for all x in X, then g is called the inverse of f.
First, we need to find the inverse of f(x) = 1/2x + 2. We can do this by switching x and y and solving for y:
x = 1/2y + 2
x - 2 = 1/2y
2x - 4 = y
So, the inverse function is f⁻¹(x) = 2x - 4.
Now, we can use the coordinates of point Ato find its image on the graph of f⁻¹(x).
Point A has coordinates (x, y) = (0, 2) since it lies on the graph of f(x) = 1/2x + 2. We want to find the image of this point on the graph of f⁻¹(x) = 2x - 4.
We can start by plugging in y = 2 into the equation for f⁻¹(x):
y = 2x - 4
2 = 2x - 4
6 = 2x
x = 3
So, the image of point A on the graph of f⁻¹(x) has coordinates (x, y) = (3, 2).
Learn more about Inverse of Function here:
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I need help with 13&14 please ASAP!!!!!
Answer:
3/5 for 13
Step-by-step explanation:
add 2 to the numerator and the denominator
Libby needs to make 1/2 of her chili recipe for the school's chili contest. If Libby usually needs 1/2 cup of corn for her recipe, how much corn will she need for the chili contest
Answer:
She need [tex]\frac{1}{4}[/tex] cups of corn.
Step-by-step explanation:
Libby needs to make [tex]\frac{1}{2}[/tex] of her chilli recipe for the school's chilli contest. If Libby usually need [tex]\frac{1}{2}[/tex] cup of corn for her recipe.
She make half of her recipe
So, we can set up equation for unknown corn she need for the chilli contest as 'x' cups
[tex]\frac{1}{0.5} =\frac{0.5}{x}[/tex]
Cross multiply
x=0.25
To make it as a fraction, she need [tex]\frac{1}{4}[/tex] cups of corn.
Answer:
yep 1/4
Step-by-step explanation:
I need help, I am not familiar with this.
Answer:
the first did it correct
Step-by-step explanation:
It says write in scientific notation but isn’t it already in scientific notation ???
What are the 5 levels of organization in an ecosystem? Please put them in order from level 1 to level 5.
- biosphere
-Individual organism
-community
-population
-ecosystem
Please help I’m on a test can you place these in order!
Answer:
Individual |
Population |
Community |
Ecosystem |
Biosphere V
Step-by-step explanation:
Answer:
population
community
ecosystem
biosphere
I need help fast!! Giving brainiest!! Please explain how you figured it out too!
Answer: HEYYYY
Step-by-step explanation:
Think you are cheating on a quiz, we are here to help people not to help people cheat on quizzes tho
There are 25 adults and 43 kids at the park. What is the ratio of kids to adults at the park?
Answer:
43 : 25
Step-by-step explanation:
ratios are quantitative relationship between 2 numbers.
adults = 25
kids = 43
ratio of kids to adults at the park should be shown as
(kids) : (adults)
*these numbers cannot be simplified.
plug the numbers in:
43 : 25
is it Min or Max
help me pls
Answer:
Max
Step-by-step explanation:
Since the vertex is on top and the graph is opening down, there is a max value at the top.
how do you solve this using the substitution method?
Answer:
x=13, y=36
Step-by-step explanation:
y−2x=10
6x−2y=6 −2x+y=10
6x−2y=6
6x=2y+6
x= 1/6(2y+6)
x=1/3y+1
-2(1/3y+1)+y=10
-2/3y-2+y=10
1/3y=12
y=36
Substitute y to check your answer
x=1/3*36+1
x=12+1
x=13
And to go further if you wish to check your answer you can substitute x
Find the solution of the system of equations. 9x +y = 28 3x + 3y = -12
Answer:
x is equal to four, and y is equal to negative eight.
Step-by-step explanation:
Let's solve it rearranging the first equation to define y:
9x + y = 28
y = 28 - 9x
Now we plug it in to the second equation:
3x + 3y = -12
3x + 3(28 - 9x) = -12
And solve for x:
3x + 84 - 27x = -12
-24x = -96
x = 4
Now we can plug that x value into one of the original equations to find the value of y
9x + y = 28
36 + y = 28
y = 28 - 36
y = -8
Let's test our answer by plugging that y value into the other equation, and seeing if we get the same x value:
3x + 3y = -12
3x + 3(-8) = -12
3x - 24 = -12
x - 8 = -4
x = 4
So we know our answer is correct.
A man hits a golf ball (0.24 kg) which accelerates at a rate of 20 m/s2. What amount of force acted on the ball?
Answer: 4.8 Newton’s
Step-by-step explanation:
Force = mass x acceleration
Answer:
the 0.2 kg ball was hit with 4 Newtons of force, which caused it to accelerate 20 meters per second, per second.
so 4 newtons
Answer please please
Answer:
t>-2
Step-by-step explanation:
So Act like this is an equation and add -3 to both sides:
t>-2
Thats your answer!
The correct choice should be #1
1. What is the simple interest on $2500 invested at an interest rate of 6%
for 2 years?
Answer:
[tex]\boxed {\boxed {\sf \$300.00}}[/tex]
Step-by-step explanation:
The formula for simple interest is:
[tex]I=P*R*T[/tex]
where P is the principal amount of money, R is the interest rate as a decimal, T is the time.
We know the principal amount is $2500, the interest rate is 6%, and the time is 2 years.
We must convert the interest rate to a decimal.
Divide by 100 or move the decimal place two spots to the left. 6/100=0.06 or 6.0 --> 0.6 --> 0.06Now we know all the values.
[tex]P= 2500 \\R= 0.06 \\T= 2[/tex]
Substitute the values into the simple interest formula.
[tex]I= (2500)(0.06)(2)[/tex]
Multiply.
[tex]I=(2500)(0.12)\\I=300= \$ 300[/tex]
The simple interest is $300.00
[tex] \sf• \: Principle (p) = \$ \: 5200[/tex]
[tex] \sf• \: Rate \: of \: interest (r) = 6 \: \% = \frac{6}{100} [/tex]
[tex] \sf• \: Time \: (t) = 2 \: years[/tex]
[tex] \\[/tex]
[tex] \bf \underline{To \: Find :-}[/tex][tex] \sf• \: The \: Simple \: Interest \: (I)[/tex]
[tex] \\ [/tex]
[tex] \bf \underline{Solution :-}[/tex][tex] \sf We \: know \: that, [/tex]
[tex] \red {\bigstar\bf { \: I = prt}}[/tex]
[tex]⟹I = 2500 \times \frac{6}{100} \times 2[/tex]
[tex]⟹I = 300[/tex]
[tex] \\ [/tex]
[tex] \bf \blue{Hence, \: the \: \: Simple \: \: Interest \: \: is \: \: \$ \: 300. }[/tex]
How is the graph of a function whose domain is all real numbers different from the graph of a function whose domain is a specified set of distinct numbers?
The measure of an interior angle of a regular polygon is 174. Find the number of sides in the polygon.
Answer:
6
Step-by-step explanation:
it as a interior angle of a regular polygon is 23
Given △ABC with coordinates A(1, 3), B(4, 5), and C(5, 2), what are the coordinates of △AʹBʹCʹ after the glide reflection described by T⟨−1, 1⟩° Ry-axis?
Answer:
A' = ( 0,4 )
B' = ( -3,6 )
C' = ( -4,3 )
Step-by-step explanation:
Transformation involves changing the coordinates of a shape.
The coordinates of △ABC after the glide transformation are [tex]A' = ( 0,4 )[/tex], [tex]B' = ( -3,6 )[/tex] and [tex]C' = ( -4,3 )[/tex]
The coordinates of triangle ABC is given as:
[tex]A = (1,3)[/tex]
[tex]B = (4,5)[/tex]
[tex]C = (5,2)[/tex]
The glide reflection is given as: T⟨−1, 1⟩° Ry-axis
So, we start by translating the shape by (x - 1, y + 1).
The coordinate ABC becomes
[tex]A = (1 - 1, 3 + 1) = (0,4)[/tex]
[tex]B = (4 - 1, 5 + 1) = (3,6)[/tex]
[tex]C = (5 - 1, 2 + 1) = (4,3)[/tex]
Next, we reflect the coordinates across the y-axis.
The rule of this reflection is:
[tex](x,y) \to (-x,y)[/tex]
So, we have:
[tex]A' = ( 0,4 )[/tex]
[tex]B' = ( -3,6 )[/tex]
[tex]C' = ( -4,3 )[/tex]
Read more about transformation at:
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A club deposited $50,000 in a savings account at the beginning of the year. Interest will be paid at a rate of 3% at the end of the year. How much interest will the club receive for a year? Please help!
I really help with this ill mark u brainliest pls
Answer:
[tex] m\angle XYW = (155 - 20x
)\degree [/tex]
Step-by-step explanation:
[tex]m\angle XYZ= m\angle XYW +m\angle WYZ\\\\
150\degree = m\angle XYW +(20x-5)\degree \\\\
150\degree - (20x-5)\degree = m\angle XYW \\\\
(150 - 20x
+5)\degree = m\angle XYW \\\\
(155 - 20x
)\degree = m\angle XYW \\\\
m\angle XYW = (155 - 20x
)\degree \\\\
[/tex]
Nikos paid $22,500 for a new car. Over the next 3 years the value of his dropped $3750. How much did the value of the car drop each year on average?
Answer:
about $1250 per year.
Guys I really need help on this please
Answer:
The answer is 26.2.
Step-by-step explanation:
To get the answer we take the miles done in the race, in this case 18.34 and he is 70% done the race. To find out how much total miles are in the race, we convert 70% into a decimal which is 0.70. then we have 18.34 and 0.70 to multiply. 18.34 x 0.70=26.2 Which is your answer.
Hope this helps!
Make a graph that matches the rule y=2x – 3.
(Need help ASAP)
Answer:
Answer in image below :)
Step-by-step explanation:
the city of west park has population of 11,000 people. it’s population is decreasing at the rate of 4.5% each year. find the population in 25 years
9514 1404 393
Answer:
3479
Step-by-step explanation:
Each year, the population is multiplied by 1 - 4.5% = 0.955. After 25 years, the population will have been multiplied by 0.955^25 ≈ 0.316289. At that time, the population will be approximately ...
11000 · 0.316289 ≈ 3479
If triangle ABC ~ DEC, find x and the scale factor of ABC to DEC
The value of x from the figure is 4
Similar triangleFrom the figure given we are told that ABC ~ DEC. Hence to get the value of x we will use the relationship shown;
25/3x-2 = 20/2xCross multiply
25(2x) = 20(3x - 2)
50x = 60x - 40
50x - 60x =-40
-10x = -40
x = 4
Hence the value of x from the figure is 4
Learn more on similar triangles here; https://brainly.com/question/2644832
Tim bought a new phone. He paid $125 on the day of purchase, then $50 per month
until it was paid off. What is the initial value in this situation?
Answer:
its 5
Step-by-step explanation:
what is 3a + 3/6. if a = 1/4
Answer:
5/4
Step-by-step explanation:
Solve by plugging in the value to "a".
Solve:
3a + 3/6
3(1/4) + 3/6
Multiply the parenthesis.
3/4 + 3/6
Simplify 3/6
3/4 + 1/2
Find the common denominator, which is 4. Make the denominators the same.
3/4 + 2/4
Add the fractions.
5/4
can sb help me !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
127 feet
Step-by-step explanation:
I did this already and I got it correct
Answer:
Its either 90 or 100
Step-by-step explanation:
Alex runs at an average speed of 10 km per hour for 1 hour 30 minutes. What distance does he run?
Answer:
15 km?
Step-by-step explanation:
10 km per hour for one hour is 10km. plus the half hour, half of the distance 5km is just 15km
Which is the best estimate of the mass of a skateboard.
a 3 liters
b 3 kilograms
c 30 grams
d 3 grams
Answer:
3 kilograms
Step-by-step explanation:
one is for liquids and the others are too small i think
Which of the following is equivalent to x4 - y4? Select all that apply.
(-y)(x + y)3
(x2 - y2)2
(x - y)2(x + y)2
O 62 - y2)(x2 + y2)
o 6-y)6+y)(x2+x2)
Answer: (x^2-y^2) (x^2+y^2) and (x-y)(x+y)(x^2+y^2)
Step-by-step explanation:
(x2 − y2) (x2 + y2)Expand (x2 − y2) (x2 + y2) using the FOIL Method.
Apply the distributive property.
x^2 (x^2 + y^2 ) − y^2 (x^2 + y )
Apply the distributive property.
x^2 x^2 +x^2 y^2 - y^2 (x^2 y^2 )
Apply the distributive property.
x^2 x^2 + x^2 y^2 - y^2 x^2- y^2 y^2
Combine the opposite terms in x^2 x^2 + x^2 y^2 - y^2 x^2 - y^2 y^2.
Reorder the factors in the terms x^2 y^2 and − x^2 y^2.
x^2 x^2+ x^2 y^2 - x^2 y^2 - y^2 y^2
Subtract 2 2 from 2 2.
x^2 x^2+ 0 - y^2 y^2
Add 2 2 and 0.
x2 x2- y2 y2
Simplify each term.
Multiply x2 by x2 by adding the exponents.
x^4 − y^2y^2
x^4 − y^4
(x-y)(x+y)(x^2+y^2)(x − y) (x + y) (x^2 + y^2)
Expand (x − y) (x + y) using the FOIL Method.
(x ⋅ x + xy − yx − y ⋅ y) (x^2 + y^2)
Combine the opposite terms in x ⋅ x + xy − yx − y ⋅ y.
(x ⋅ x − y ⋅ y) (x^2 + y^2)
(x^2 − y^2) (x^2 + y^2)
Expand (x^2 − y^2) (x^2 + y^2) using the FOIL Method.
Apply the distributive property.
x^2 (x^2 + y^2) − y^2 (x^2 + y^2)
Apply the distributive property.
x^2 x^2 + x^2y^2 - y^2 (x^2 + y^2)
Apply the distributive property.
x^2 x^2 + x^2 y^2 - y^2 x^2 - y^2 y ^2
Combine the opposite terms in x^2x^2 + x^2y^2 − y^2x^2 − y^2y^2.
x^2x^2 − y^2y^2
x^4 − y^4
please give me brainliest :)