Apply the Pythagorean theorem:
C^2 = a^2 + b^2
Where:
C = hypotenuse
A & b= the other two legs of the triangle:
Replacing:
c^2 = 12^2 + 4^2
Solve for c
c^2 = 144 + 16
c^2 = 160
c= √160
c= 12.65 inches
√38 I’m not sure how to solve these kinds of equations
Answer:
√38
Step-by-step explanation:
√38
step 1: Check which squared numbers can be multiplied by another number to get 38.
Start with these numbers: 4, 9, 16, and 25
Step 2: Testing out the numbers
√25 × __ = 25 can't be divided by 38
√16 × ___ = 16 can't be divided by 38
√9 × ____ = 9 can't be divided by 38
√4 × ____= 4 can't be divided by 38
Step 3: Answer
After trying the square root numbers that could possibly work with √38 none work; which means √38 can't be simplified. So the answer is √38
I hope this helps!
What is the length of line ab
Answer:
√ 53 is the correct answer,......... plz mark my answer as brainlist plzzzz vote me also plzzzz
What is the product of 4.5 ⋅ 10^5 and 1.6 ⋅ 10^2?
Answer: 450000, 160
Step-by-step explanation:
4.5 ⋅ 10^5 =
4.5*100000=
4*100000+0.5*100000=
400000+50000=450000
1.6 ⋅ 10^2=
1.6*100=
1*100+0.6*100=
100+60=160
4.2 x 10^8 is how many times the value of 2.1 x 10^2
A. 2 x 10^4
B. 2 x 10^6
C. 2.1 x 10^6
D. 2.1 x 10^4
4.2 x 10^8 is 2*10^6 times the value of 2.1 x 10^2 when division is performed.
How can the number of times can be calculated?The concept that will be used to solve the question is division operation.
We were given 4.2 x 10^8 which is greater than 2.1 x 10^2
The operation can be expressed as :
4.2 x 10^8 =( n *2.1 x 10^2)
where n = the number of times that 4.2 x 10^8 is greater than 2.1 x 10^2
Then make n the subject of the formular which is
n = 4.2 x 10^8/2.1 x 10^2
n = 2*10^6
Therefore, the values of 4.2 x 10^8 is greater than 2.1 x 10^2 in 2*10^6 times.
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Find the slope of the line, then write the equation of the line in slope-intercept form.
y = x - 4 is the equation of the line in slope-intercept form.
How do you interpret a slope-intercept form?
The data provided by that form can be used to graph a linear equation in slope-intercept form. As an illustration, the equation y=2x+3 indicates that the line's slope is 2 and that its y-intercept is located at (0,3). This reveals the single point at which the line passes as well as the direction in which we should draw the full line after that.
Point from graph = (2, -2 )
slope (m) = y/x
= -2/2
= 1
slope-intercept form ⇒ y = mx + c
-2 = 1 * 2 + c
- 2 = 2 + c
c = -4
slope-intercept form ⇒ y = x - 4
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The first three terms of a sequence are given. Round to the nearest thousandth (if
necessary).
24, 12, 6, ...
Find the 8th term.
Help
Answer:
\(\frac{3}{16}\)
Step-by-step explanation:
The common ratio is \(\frac{1}{2}\)
24, 12, 6, 3, \(\frac{3}{2}\), \(\frac{3}{4}\), \(\frac{3}{8}\), \(\frac{3}{16}\)
so divide each term by 2
plz mark m brainliest. :)
1. A woman visits four different places: A, B, C, and D. If, at a given time, she is at point A, then the next hour she will be at point D with 100 percent probability. If she is at point B, then she will be at point A in an hour (with 100 percent probability) If she is at point C, then she will be at point A or B, with equal probabilities (that is, 50 percent each). If she is at point D, then she will be at point B or C with equal probability. a) Write down the stochastic matrix M that describes, given a probability vector, the probability that the woman will be at each of the places during the next hour. (b) Find the steady state vector. (This is a probability vector [positive entries that add up to 11 satisfying Mu- [Hint: you should simply assume that λ-1 is an eigenvalue for M (this is guaranteed for all stochastic matrices) and find the corresponding eigenspace. Divide by a suitable constant to get the steady state vector (c) After many hours pass, what are the probabilities that the woman will be at A? B? C? D? (These are recorded in the steady state vector.)
The resulting probability is 100%
How to calculate probability?
The general formula to calculate the probability is
=> P(B) = (n(B)/N(S)
where,
P(B) is the probability of an event 'B'.
n(B) is the number of favorable outcomes of an event 'B'.
n(S) is the total number of events occurring in a sample space.
Given,
A woman visits four different places: A, B, C, and D. If, at a given time, she is at point A, then the next hour she will be at point D with 100 percent probability. If she is at point B, then she will be at point A in an hour (with 100 percent probability) If she is at point C, then she will be at point A or B, with equal probabilities (that is, 50 percent each). If she is at point D, then she will be at point B or C with equal probability.
Here we have given that,
Number of places = 4 (A, B, C, D)
Initial point = A
Point D probability = 100%
For Point B to A probability = 100%
For point C to A or B probability = 50%
For point D to B and C probability = 50%
Now, here we need to find the probabilities that the woman will be at.
Like the women will spend three hours of travelling in the point A, B and C, then the probability of the points are calculated as,
=> 1 + 0.5 + 0.5 - 1
=> 2 - 1 = 1
Therefore, the resulting probability is 100%.
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identify the constants in the following
really need help I don't know how to do this can someone explain it to me please??
100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
(A) Triangle ABC, and triangle QPR are similar based on side-side-side (SSS) similarity.
(B) Triangle ABC and triangle DEF are similar based on side-side-side (SSS) similarity.
(C) ) Triangle STU and triangle JPM are similar based on side-angle-side (SAS) similarity.
(D) ) Triangle SMK and triangle QTR are similar based on angle-angle (AA) similarity.
What are similar triangles?Similar triangles have the same corresponding angle measures and proportional side lengths.
The triangle similarity criteria are:
AA (Angle-Angle)SSS (Side-Side-Side)SAS (Side-Angle-Side)(A) Triangle ABC, and triangle QPR are similar based on side-side-side similarity.
12/8 = 9/6
1.5 = 1.5
(B) Triangle ABC and triangle DEF are similar base on side-side-side similarity as shown in the side lengths.
(C) ) Triangle STU and triangle JPM are similar base on side-angle-side similarity.
14/10 = 21/15
1.4 =
(D) ) Triangle SMK and triangle QTR are similar base on angle-angle similarity.
SMK = 90⁰, 60⁰, 30⁰
QTR = 90⁰, 30⁰, 60⁰
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Which algebraic property (proof reason) would you use to justify the conditional
statement: If 4x = 8, then x = 2*
Answer:
True
Step-by-step explanation:
Divide each term by 4 then simplify
Write the equation of the parabola in vertex form with the following conditions:Vertex: (0,4)Directrix: y = 2
We are given the vertex of the parabola (0,4) and the directrix y=2. This is a parabola with its axis of symmetry parallel to the y-axis.
The standard form of the parabola is
\(\mleft(x-h\mright)^2=4p(y-k)\)Where (h,k) is the vertex of the parabola and the directrix is given as
y = k - p
We can find the value of p:
p= k - y = 4 - 2 = 2
Substituting, we have the equation of the parabola:
\(\begin{gathered} (x-0)^2=4\cdot2(y-4) \\ x^2=8(y-4) \end{gathered}\)The first choice is correct
Which of the following z-scores is NOT outside the middle 68% of the data for a normal distribution?
a.) -0.8
b.) -2.8
c.) 1.8
d.) 3.8
Answer:
Step-by-step explanation:
A, use three_digite rounding arithmetic to compute 13- 6 and determine the absolute,relative ,and percentage errors.
tepeat part (b) using three – digit chopping arithmetic.
The diagonals of a parallelogram are congruent
Always True
Sometimes True
Never True
Step-by-step explanation:
i believe it is always true. not 100% sure though
21 plus 22 plus 9 plus 10 times zero
Answer:
52
Step-by-step explanation:
Also Written as:
((21+22)+9)+(10*0)
Using the PEMDAS also known as Order of operations.
((21+22)+9)+(10× 0) {10× 0 = 0}
((21+22)+9)+(0)
Then, it will look like this below:
((21+22)+9)
Now add then all together..
21 + 9 = 30
30 + 22 = 52
Input Equation:
Input Equation:
= ((21+22)+9)+(10*0)
= ((43)+9)+(10*0)
= (43+9)+(10*0)
= (52)+(10*0)
= 52+(10*0)
= 52+(0)
= 52+0
= 52
Hence, the answer is 52.
[RevyBreeze]
I need help on number 2 please and thank you I appreciate it
Answer:
44 degrees
Step-by-step explanation:
To start things off, we need to understand that all three triangles enclosed within the rectangle are identical, or better still, in this case, we can say that they are exactly the same.
This implies that the dimensions for the first triangle are the same as that f the second and the third.
we have the dimensions of the first triangle as 92 degrees, 44 degrees, and < DGA.
Recall that the sum of the angles in a triangle = 180 degrees.
< DGA = 180 - (92 + 44) = 44 degrees.
since the triangles are identical, < EHB = < DGA. = 44 degrees
Jeremiah answered 20
out of 25 questions
correctly on the math test.
What percent of the
questions did Jeremiah
answer correctly?
Answer:
he got 80 percent correct
help me please I really don't get this and I have sooo many questions about this stuff >_
\(\huge\text{Hey there!}\)
\(\mathsf{(\dfrac{7}{8})^4}\)
\(\mathsf{= \dfrac{7}{8}\times\dfrac{7}{8}\times\dfrac{7}{8}\times\dfrac{7}{8}}\)
\(\mathsf{= \dfrac{7\times7\times7\times7}{8\times8\times8\times8}}\)
\(\mathsf{= \dfrac{49\times49}{64\times64}}\)
\(\mathsf{= \dfrac{2,401}{4,096}}\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
\(\huge\boxed{\mathsf{\dfrac{2,401}{4,096}}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
Please fill in the answers by 4:00 !! (I'll give brainliest if u help me)
here you go! hopefully this helps :))
what number is not part of the solution set for the inequality below?3x-18> 1210, 11, 15,8 _
First, let's solve for x in the inequality to find an interval, the options that are not included in the interval are not part of the solution set, we can do it by following these steps:
1. 3x-18> 12 , add 18 on both sides:
3x - 18 + 18 > 12 + 18
3x > 30
2. Divide both sides by 3:
3x/3 > 30/3
x > 10
So, to be a part of the solution, x must be greater than 10, then the interval that represents the solution is (10, ∞). From the given options, the only one that is not included in this interval is 8, because it is less than 10, then the answer is 8.
I need help for numbers 5 and 6
Answer:
Below in bold,
Step-by-step explanation:
5.
m < JIK = the sum of the measure of the other 2 angles so we have:
140 - 6x = 20x - 10 + 8x - 20
140 + 10 + 20 = 20x + 6x + 8x
170 = 34x
x = 5.
m < JIL = 20(5) - 10 = 90 degrees.
m < LIK = 8(5) - 20 = 20 degrees.
m < JIK = 140 -5(5) = 110 degrees.
6. 5x = 8x - 4 (as QB is the bisector of < AQC.
Solve for x then substitute the value of x as in question 5.
Evaluate the expression 52 – 3x when x = 17. Then, select the option that completes this sentence:
The result is a whole number that is:
A. a prime number.
B. a composite number.
C. a whole number that is neither prime nor composite.
D. not a whole number.
Please Help!!! T~T
Answer:
it's c. "a whole number that is neither prime nor composite."
Step-by-step explanation:
Answer:
The answer is C
Step-by-step explanation: Example 52-3x and if x equals 17 then it would convert to 52-17=35 which this is nor prime nor composite
HOPE THIS HELPED!
Please help me with this I need it now :)
Answer:
reverse it x-15=4 do 15+4=x
Step-by-step explanation:
Help pldssssssss………………..
The missing value for the quadratic function is given as follows:
y = -3.
How to obtain the quadratic function?As a function of it's roots x* and x**, the quadratic function is defined as follows:
y = a(x - x*)(x - x**)
In which a is the leading coefficient.
The roots of the function are the values of x when y = 0, hence:
x* = -4, x** = -2.
Thus:
y = a(x + 4)(x + 2)
y = a(x² + 6x + 8).
When x = 0, y = -8, hence the leading coefficient a of the function is given as follows:
8a = -8
a = -1.
Hence:
y = -x² - 6x - 8;
The missing value is the value of y when x = -1, hence:
y = -(-1)² - 6(-1) - 8
y = -3.
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Two brothers, Mark and Brian, each inherit $39000 . Mark invests his inheritance in a savings account with an annual return of 2.1% , while Brian invests his inheritance in a CD paying 5.6% annually. How much more money than Mark does Brian have after 1 year?
Answer: 4.2
Step-by-step explanation:
Please help me! I will mark brainliest! Thanks!
Answer: Group 12
Step-by-step explanation: The element is Mercury.
(1990). (2010)
Mean- 150.32. Mean-125.57
Median-117.17. Media - 123.17
SD - 12.23. SD- 7.01
Some information about auto theft rates (number of auto thefts per 100,000 population) for a sample of 178 cities in two different years is
summarized below. Express this statistical information in words. What changes were there in the overall shape of the variation of this variable? In central tendency? In dispersion?
The statistical information is that in 1990, there was 150 auto theft per population over 178 cities.
Interpreting the statistical informationThe information also shows that 50% of the cities had a theft rate of less than 117 per population while the reaming 50% of the cities had a rate above that level.
A standard deviation of 12 means that individual cities could have had crime rates as low as 114 and as high as 186.
In 2010, the crime rate over 178 cities averaged 125 per I lakh population. The remaining half had a theft rate of less than 123 while the reaming half recorded a rate above that level.
A standard deviation of 7 means that individual cities could have had crime rates as low as 104 and as high as 146.
On a comparative note, both the average and standard deviation recorded a significant reduction. The standard deviation experienced a huge reduction of more than 40%. This means that the combined measure came down from 8.14% in 1990 to 5.6% in 2010.
The shape of the distribution depicts a sizable shift to the left along with an appreciable compression of the spread.
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An engineer computes the ratio of these two measurements.
• fuel efficiency, measured in miles per gallon
• speed, measured in miles per hour
She divides fuel efficiency by speed. What unit will the quotient have?
A. gallons per hour
B. hours per mile
C. gallons per mile
D. hours per gallon
Answer: D. hours per gallon
Step-by-step explanation: if she divides fuel efficiency by speed. What unit will the quotient have? hours per gallon
Answer:
asnwer would be B
Step-by-step explanation:
If A and Bare dependent events, which of these conditions must be true?
Answer:
Two events are said to be dependent if the outcome or occurrence of the first affects the outcome or occurrence of the second so that the probability is changed.
Also, Two events are said to be independent if the outcome or occurrence of the first does not affects the outcome or occurrence of the second so that the probability is not changed.
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Answer:E. P(B\A)≠P(B)
Step-by-step explanation:
how do I find the given z score
The formula for calculating a z-score is
\(z=\frac{x-\mu}{\sigma}\)Where:
*x is the raw score
*μ is the population mean
*σ is the population standard deviation
someone please please help me
Answer:
11
Step-by-step explanation: