The sides of the triangle are (d) 12√2, 12√2, 24
How to determine the side lengths?The given parameters are:
Hypotenuse = 24Angle = 45-45-90 degree anglesIn a 45-45-90 degree angle triangle, we have:
Hypotenuse = Opposite√2 and Hypotenuse = Adjacent√2
This means that:
Opposite =Adjacent
So, we have:
24 = Adjacent√2
Divide both sides by √2
Adjacent = 24/√2
Evaluate
Adjacent = 12√2
This means that:
Opposite = 12√2
Hence, the sides of the triangle are (d) 12√2, 12√2, 24
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What is the domain of the function graphed below?
OA.{x\x = −2,1}
OB. (x | x-2,-1, 1)
OC. {x|x-1,}
OD. {x|x-1, 1}
From the graph, the domain of the function will be {x| x = −2,1}. Then the correct option is D.
What is an asymptote?An asymptote is a line that constantly reaches a given curve but does not touch at an infinite distance.
From the graph, the domain of the function will be
The function is not defined for x = 2 and x = -1.
Then the domain will be
{x| x = −2,1}
Then the correct option is D.
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Isabel says that 0.02 can be expressed as 20%. Is she correct? Explain why or why not.
[tex]\text{She is not correct because}\\\\20\% = \dfrac{20}{100} = \dfrac 2{10} = 0.2 \neq 0.02[/tex]
If .111... = 1/x, what is x?
Correct answer will get brainliest
Answer:
x = 9
Step-by-step explanation:
When 1 is divided by 9, we understand it is a non-terminating decimal number because the denominator consists of other number other than 2 and 5.
Now, let's get into how to solve for x :
Divide both sides by .111... :
1/.111... x .111... = 1/.111 x 1/x
1 = 1/(x)(.111....)
Multiply both sides by x :
1(x) = (x)/(x)(.111...)
x = 1/.111...
x = 9 (nearest whole number)
Answer:
[tex]\sf 0.\dot{1}=\dfrac{1}{9}[/tex]
Therefore, x = 9
Step-by-step explanation:
To convert 0.11111... to a fraction:
Equation 1
Let: y = 0.11111...
Equation 2
Multiply both sides by 10:
⇒ y · 10 = 0.11111... · 10
⇒ 10y = 1.11111...
Subtract Equation 1 from Equation 2 to eliminate the recurring digits after the decimal:
⇒ 10y - y = 1.1111... - 0.11111...
⇒ 9y = 1
Divide both sides by 9
[tex]\implies \sf y=\dfrac{1}{9}[/tex]
Therefore,
[tex]\sf 0.\dot{1}=\dfrac{1}{9}[/tex]
So if:
[tex]\sf 0.\dot{1}=\dfrac{1}{x}[/tex]
Then x = 9
Show ALL work and calculations. Max needs to choose an outfit. He has three sweaters: red, blue and pink; two pants: yellow and black; and two kinds of shoes: dress shoes and running shoes.Draw a probability tree diagram to show all his combinations to choose from.
Answer:
- Red
- Yellow
- Dress
- Running
- Black
- Dress
- Running
- Blue
- Yellow
- Dress
- Running
- Black
- Dress
- Running
- Pink
- Yellow
- Dress
- Running
- Black
- Dress
- Running
Which linear inequality is graphed in the figure
Answer:
A) y < 1/3x - 2
Step-by-step explanation:
help with addition for child 324+423
Answer:
747
Step-by-step explanation:
Have a great day!!
Step-by-step explanation:
the answer for this is 747
I don’t understand this whatsoever
Answer:
7
Step-by-step explanation:
4*(x-2)^2 - 9
replace x with 4; 4*(4-2)^2-9
solve inside parenthesis; 4*(2)^2-9
order of operations; 4*4 - 9 becomes 16-9=7
Which operations can be applied to a matrix in the process of Gauss-Jordan elimination?
replacing a row with twice that row
replacing a row with the sum of that row and another row
replacing a row with three times another row
swapping rows
replacing a row with the absolute values of that row
Operations that can be applied to a matrix in the process of Gauss-Jordan elimination are options 1,2 and 4.
What is gauss Jordan's elimination?Gauss-Jordan Elimination is a matrix-based technique for solving linear equations or determining a matrix's inverse.
When using Gauss Jordan elimination, the following operations may be carried out on a matrix:
1. Replacing a row with twice that row
2. Replacing a row with the sum of that row and another row
3. Swapping row
The optional row(or column) procedures that can be employed are:
1. Alternate any two rows (or columns)
2. Scalar multiples of one row (column) are added or subtracted from another row (column) occurs when a row is substituted with the sum of another row and that row.
3. Multiply any row (or column) fully by a nonzero scalar, as seen below by substituting a row with two rows.
Hence, Gauss-Jordan elimination includes options 1,2, and 4.
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Estimate the product of 2.28 × 5.59 using compatible numbers.
The quotient of 2.28 × 5.59 using compatible numbers is approximately 12.75
What are products?Quotients are result derived from the multiplication of two rational or integers. Given the expression
2.28 × 5.59
Convert to fraction
2.28 × 5.59 = 228/100 ÷ 559/100
2.28 × 5.59= 127452/10000
2.28 × 5.59= 12.75
Hence the quotient of 2.28 × 5.59 using compatible numbers is approximately 12.75
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There are 8 metal boxes of gold. Each box holds 625 pounds of gold. How many pounds of gold are in the 8 boxes?
pounds of gold
You may use the scratchpad or scratch paper to show your work.
Answer:
5000 lbs
Step-by-step explanation:
if there ae 8 boxes and each one has the weight of 625 you will need to ultiply 8 by 625 and that will be 5000 pounds
If $3700 is invested at a rate of 2.4% that is compounded annually, how much will it be worth after 4 years?
The amount the money will be worth in 4 years is $4072.41
Compound interestThe formula for calculating the compound interest is expressed as;
A = P(1+r/n)^nt
Given the following
P = $3700
rate r = 2.4% = 0.024
n =12
t = 4 years
Substitute
A = 3700(1+0.024/12)^12(4)
A = 3700(10.024/12)^48
A = 3700(1.10065)
A= 4072.41
Hence the amount the money will be worth in 4 years is $4072.41
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Hailey's laundry basket contains 777 socks. These 777 socks account for approximately 21\!!, percent of Hailey's socks. How many socks does Hailey have in total
The number of socks for Hailey will be 163.
What is the percentage?
The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.
Given that:-
Hailey's laundry basket contains 777 socks. These 777 socks account for approximately 21, per cent of Hailey's socks.The number of Haley's socks will be calculated as=
Socks = 777 x 21/100
Socks = 777 x 0.21
Socks = 163
Therefore the number of socks for Hailey will be 163.
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Keno and Angelita will randomly select from a treat bag containing 6 lollipops and 4 gum balls. -Keno will select a treat, replace it, and then select a second treat. -Angelita will select a treat, not replace it, and then select a second treat. Who has the greater probability of select 1 lollipop and then 1 gumball?
Keno
[tex]|\Omega|=10^2=100\\|A|=6\cdot4=24\\\\P(A)=\dfrac{24}{100}=\dfrac{6}{25}=24\%[/tex]
Angelita
[tex]|\Omega|=10\cdot9=90\\|A|=6\cdot4=24\\\\P(A)=\dfrac{24}{90}=\dfrac{4}{15}\approx26,7\%[/tex]
Therefore, the answer is Angelita.
The graph of the fourth-degree polynomial function f (x) is shown in the coordinate plane below. Based on the graph, which of the following are linear factors of f (x). Select all that apply. A. (x - 2) B. (x - 3) C. (x + 2) D. (x - 5) E. (x + 1)
The linear factors of the function are the x-intercepts which are (x + 5), (x + 2), (x - 1) and (x - 6)
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given the graph of the function. The linear factors of the function are the x-intercepts which are (x + 5), (x + 2), (x - 1) and (x - 6)
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SUPER EASY 9TH GRADE GEOMETRY
- find the area
using the diagonal: area = 1/2 x diagonal^2
the full diagonal is 20 x 2 = 40 cm
area = 1/2 x 40^2 = 800
answer: 800 cm^2
A three dimensional object is created by rotating a circle about one of its diameters.
What is the shape of the resulting object?
O A Cone
OB Disc
OC. Sphere
OD. Cylinder
Answer:
C. Sphere
Step-by-step explanation:
If you rotate a circle about one of its diameters, it produces the three dimensional shape of a sphere.
See attached diagram.
100 POINTS AND BRAINLIST
The answer could be c
Because the title of the table says the dollar sales and how much it's increasing so my answer is c
Hope I helped!
TheOneAndOnlyLara~
Answer:
C.
Step-by-step explanation:
Hope it helped!
work out 4x10^8 x 5 x 10^-6 give your answer in standard form
Answer:
2 × 10³
Step-by-step explanation:
a number expressed in standard form is
a × [tex]10^{n}[/tex]
where 1 ≤ a < 10 and n is an integer
4 ×[tex]10^{8}[/tex] × 5 × [tex]10^{-6}[/tex]
= 4 × 5 × [tex]10^{8}[/tex] × [tex]10^{-6}[/tex]
= 20 × [tex]10^{(8-6)}[/tex]
= 20 × 10²
= 2 × [tex]10^{1}[/tex] × [tex]10^{2}[/tex]
= 2 × [tex]10^{(1+2)}[/tex]
= 2 × 10³
Answer:
[tex]2.0 \times {10}^{3} [/tex]
is correct ans
Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a
viable solution if x represents the number of days that a library book is late and y represents the total fee?
Answer:
y=0.30x
Step-by-step explanation:
because the amount of money (the fee) will keep increasing with the multiplication of the amount of days
Grayson is preheating his oven before using it to bake. The initial temperature of the oven is 65° and the temperature will increase at a rate of 15° per minute after being turned on. What is the temperature of the oven 6 minutes after being turned on? What is the temperature of the oven tt minutes after being turned on?
Answer:
155 Degrees
Step-by-step :
(Time x Rate of Temp) + Initial Temp = Final Temperature
Ex. (6 * 15) + 65 = 155 Degrees
Answer:
The temperature of the oven 6 minutes after being turned on is 155°
The temperature of the oven t minutes after being turned on is 15t + 65
Step-by-step explanation:
y=mx + b
y = y coordinate
m = slope
x = x coordinate
b = y intercept
The y intercept is when x = 0, so the initial temperature
b = 65°
The slope is increase at a rate of per minute after being turned on.
m = 15°
The y coordinate will represent the temperature of the oven after a certain amount of minutes after being turned on
y
The x coordinate will represent the amount of minutes after the oven being turn on
x = t
combine:
What is the temperature of the oven tt minutes after being turned on?
y = 15t + 65
What is the temperature of the oven 6 minutes after being turned on?
t = 6 minutes
y = 15t + 65
y = 15(6) + 65
y = 90 + 65
y = 155
AND WELCOME TO BRAINLY!
Use the function to predict the minimum target heart rate for a person 20 years old. beats per minute
The minimum target heart rate for a person 20 years old is 120 beats per minute
How to predict the minimum target heart rate?The equation of the function is given as:
y = -0.6x + 132
Where x represents the age, and y represents the minimum target heart rate
From the question, we have:
x = 20
Substitute x = 20 in y = -0.6x + 132
This gives
y = -0.6 *20 + 132
Evaluate
y = 120
Hence, the minimum target heart rate for a person 20 years old is 120 beats per minute
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Answer:
Answer is 120 !!
Step-by-step explanation:
~Hope this helps! :)
Find the sum of the first 7 terms of the following series, to the nearest integer. 150,60,24...
Answer:
250
Step-by-step explanation:
The sum of the terms of a geometric series is given by the formula ...
Sn = a1×(1 -r^n)/(1 -r)
sum of n terms for first term a1 and common ratio r.
__
series sumThe given series has first term a1 = 150, and common ratio r = 60/150 = 2/5. Putting these values into the formula gives a sum of 7 terms that is ...
S7 = 150×(1 -(2/5)^7)/(1 -2/5) = 150((77997/78125)/(3/5))
S7 = 150×(25999/15625) = 249.5904
Rounded to the nearest integer, the sum of the first 7 terms is 250.
what would i put in, in the blanks? please help, i don’t get this
Answer:
Parent function
[tex]f(x)=\log_2(x)[/tex]
Since we cannot take logs of zero or negative numbers, the domain is [tex](0, \infty)[/tex] and there is a vertical asymptote at [tex]x=0[/tex].
There are no horizontal asymptotes and the range is [tex](- \infty,\infty)[/tex].
The end behaviors of the parent function are:
[tex]\textsf{As } x \rightarrow 0^+, f(x) \rightarrow - \infty[/tex]
[tex]\textsf{As } x \rightarrow \infty, f(x) \rightarrow \infty[/tex]
To determine the attributes of the given function, compare the given function with the parent function.
Given function
[tex]f(x)=- \log_2(x)+5[/tex]
The given function is reflected in the x-axis. Therefore, the end behaviors are a reflection of those of the parent function:
[tex]\textsf{As } x \rightarrow 0^+, f(x) \rightarrow \infty[/tex]
[tex]\textsf{As } x \rightarrow \infty, f(x) \rightarrow - \infty[/tex]
As the given function is translated vertically (5 units up) only, the domain, range and asymptote will not change, since the function has not been translated horizontally.
[tex]\textsf{Domain}: \quad (0, \infty)[/tex]
[tex]\textsf{Range}: \quad (- \infty, \infty)[/tex]
[tex]\textsf{Asymptote}: \quad x=0[/tex]
Conclusion
The function f(x) is a [tex]\boxed{\sf logarithmic}}[/tex] function with a [tex]\boxed{\sf vertical}}[/tex] asymptote of [tex]\boxed{x = 0}[/tex].
The range of the function is [tex]\boxed{(- \infty, \infty)}[/tex], and it is [tex]\boxed{\sf decreasing}[/tex] on its domain of [tex]\boxed{(0, \infty)}[/tex].
The end behavior on the LEFT side is as [tex]\boxed{x \rightarrow 0^+}[/tex], [tex]\boxed{f(x) \rightarrow \infty}[/tex], and the end behavior of the RIGHT side is [tex]\boxed{x \rightarrow \infty}[/tex], [tex]\boxed{f(x) \rightarrow -\infty}[/tex].
Abcd is a trapezoid. = 1 cm and = 5 cm, and the area = 7.5 cm2. what is the altitude of the trapezoid? 1.5 cm 2.5 cm 3 cm 2 cm
Answer:
2.5cm
Step-by-step explanation:
hope it helps. if there's any question feel free to ask me I be ready to respond appropriately bye.
The altitude of the trapezoid is approximately 2.5 cm.
Here, we have,
To find the altitude of the trapezoid, we can use the formula for the area of a trapezoid:
Area = (1/2) * (sum of the bases) * altitude
Given that
one base (a) is 1 cm, the other base (b) is 5 cm, and the area is 7.5 cm², we can plug these values into the formula and solve for the altitude:
7.5 cm² = (1/2) * (1 cm + 5 cm) * altitude
Simplifying:
7.5 cm² = (1/2) * 6 cm * altitude
7.5 cm² = 3 cm * altitude
Now, we can isolate the altitude by dividing both sides of the equation by 3 cm:
altitude = 7.5 cm² / 3 cm
altitude ≈ 2.5 cm
Therefore, the altitude of the trapezoid is approximately 2.5 cm.
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If JL = 30, JK = 18, and LM = 6, then the value of LN is:
Answer: LN = 15
Make a proportional relationship:
[tex]\sf \dfrac{LN}{JL} = \dfrac{LM}{KL}[/tex]
Insert the values:
[tex]\rightarrow \sf \dfrac{LN}{30} = \dfrac{6}{30-18}[/tex]
cross multiply:
[tex]\rightarrow \sf LN = \dfrac{30(6)}{12}[/tex]
Simplify:
[tex]\sf LN =15[/tex]Answer:
LN = 15
Step-by-step explanation:
The arrows on the line segments indicate they are parallel.
[tex]\implies \overline{KM} \parallel \overline{JN}[/tex]
Triangle Proportionality Theorem
If a line parallel to one side of a triangle intersects the other two sides of the triangle, then it divides these two sides proportionally.
[tex]\textsf{If }\overline{KM} \parallel \overline{JN}, \textsf{ then }\dfrac{LK}{LJ}=\dfrac{LM}{LN}[/tex]
Given:
LM = 6JL = 30JK = 18⇒ LK = JL - JK = 30 - 18 = 12
Substituting the values into the equation and solving for LN:
[tex]\begin{aligned}\implies \dfrac{LK}{LJ} & = \dfrac{LM}{LN}\\\\\dfrac{12}{30} & = \dfrac{6}{LN}\\\\12LN & = 30 \cdot 6\\\\LN & = \dfrac{180}{12}\\\\LN & = 15\end{aligned}[/tex]
What is the equation for this graph?
Answer:
hmm try multiplying every number at the top and then put them all together
then divide the answer u got and u have ur answer :)
Step-by-step explanation:
Solve the following equation for x.
(5/6)x + 10 = 30
x = 24
x = 20
x = 20/6
x = 25/6
Answer:
x=24
Step-by-step explanation:
6×(5/6)x +6(10)=6(30)
5x +60=180
5x +60-60=180 - 60
5x=180 -60
5x=120
5x/5 =120/5
x=24
please help i’ll give brainliest
The missing length in triangle A given the similarity between the two triangles is 18.67
Solving triangles using ratioTriangle A is similar to triangle B
Triangle A:
Side 1 = (x + 2)Side 2 = 14Triangle B:
Side 1 = 8Side 2 = 6Ratio of side 1 to side 2 of the triangles respectively
(x + 2) : 8 = 14 : 6
(x + 2) / 8 = 14/6
cross product(x + 2) × 6 = 8 × 14
6x + 12 = 112
6x = 112 - 12
6x = 100
x = 100/6
x = 16.67
Therefore, Triangle A:
Side 1 = (x + 2)
= 16.67 + 2
= 18.67
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what is 250/100 as a whole number?
Answer:
Unless im being completely braindead right now there isn't a whole number that works with this. When simplified its 5/2 or 2.5 but because it isn't an actual whole number (like 2, 4 and 6) they don't count.
Answer:
between two whole numbers 2 and 3 or just 3.
Step-by-step explanation:
The answer to 250/100 would be 2.5 but that is a decimal and not a whole number. You couod round 2.5 to 3 to make it a whole nunber or you say that it is in between two whole nunbers which are 2 and 3 if you are allowed to. (since 2.5 alone is not a whole number)
How many and what type of solutions does 5x^2-2x+6 have?
1 rational solution
2 rational solutions
2 irrational solutions
2 nonreal solution
Answer:
D) 2 nonreal solutionStep-by-step explanation:
GivenQuadratic trinomial
5x² - 2x + 6In order to determine what kind of roots it has, we need to find the value of the discriminant:
[tex]D= b^2-4ac[/tex][tex]D = (-2)^2-4*5*6 =4-120 =-116[/tex]Since the discriminant is negative, its square root is an imaginary number, hence there is no real solution.
Correct answer choice is D.