Answers
Given:
A figure of a right triangle.
To find:
The value of x.
Solution:
According to the geometric mean attitude theorem, if an altitude is drawn from the right angle vertex to the hypotenuse, then the altitude is the geometric mean of segments of hypotenuse.
Using geometric mean attitude theorem, we get
[tex]\dfrac{3}{x}=\dfrac{x}{5}[/tex]
[tex]3\times 5=x\times x[/tex]
[tex]15=x^2[/tex]
[tex]\pm \sqrt{15}=x[/tex]
But side cannot be negative. So,
[tex]\sqrt{15}=x[/tex]
Therefore, the value of x is [tex]\sqrt{15}[/tex].
Related Questions
c) 12 x 3 + 9 + (15 - 2) × 3 =
Answers
Answer:
Step-by-step explanation:
USE BOMDAS
do multiplication and brackets first
36+9+13X3
=45+39
=84
Are 2(x - 3) + 1 and 2x + 6 equivalent expressions
Answers
Answer:
No.
Step-by-step explanation:
2(x-3) + 1 = 2x - 6 + 1 = 2x - 5
2x + 6 ≠ 2x -5, so no, they aren't equivalent.
The expression 2(x - 3) + 1 and 2x + 6 are not Equivalent.
What is Equivalent Expression?Equivalent expressions are expressions that perform the same function notwithstanding their appearance. If two algebraic expressions are equivalent, they have the same value when the same value(s) for the variable are used (s).
We have two expressions to compare 2(x- 3) + 1 and 2x +6 .
Now, simplifying the first expression as
= 2(x -3) + 1
= 2x - 6 +1
= 2x - 5
and, the second expression is 2x + 6.
Thus, both of expression are not Equivalent.
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Find the missing base
Answers
base = Parallelogram area / height
base = 20 / 4
base = 5
Marla mixed cream and milk in a ratio of
2 parts cream to 3 parts milk. How many
liters of each did she use if she made 20 liters
Answers
Answer:
If it says she made 20 liters of cream then She has 30 liters of milk
Step-by-step explanation:
2 cream x 10 = 20
3 milk x 10 = 30
Hope this helps!
Plz make me Brainliest.
Answer 1 and 2 please.
Answers
Answer:
Give me the questions and I'll edit my answer
Step-by-step explanation:
Answer:
what the question then I'll edit answer ;-;
Step-by-step explanation:
Can you answer this for me thank you
Answers
5p + 4e = 7.65
4p + 5e = 7.20
Use adding/subtracting formula
The cost of an eraser is $1.44
pls help the question is in the picture
Answers
What is the standard form for f(x)=7(x-1)^2+3
Answers
Please help me please !
Answers
Answer:
A) (a+2)(a-2)
Step-by-step explanation:
The answer is A.
Kona wants to bake at most 30 loaves of banana bread and nut bread for a bake sale. Each loaf of banana bread sells for $2.50, and each loaf of nut bread sells for $2.75. Kona wants to make at least $44. Which system of inequalities models the situation
Answers
Answer:
The system of inequalities that models the situation is
Step-by-step explanation:
Given:
Total number of banana bread and nut bread must be atmost 30
Cost of one banana bread = $2.50
Cost of one nut bread = $2.75
Kona wants to make at least $44
To Find:
The system of inequalities models the situation
Solution:
Let the number of banana bread loaves be x
Let the number of nut bread loaves be y
Then kona wants to make at most 3 loaves of bread,
So...
Then By selling one banana bread to $2.50, and each loaf of nut bread sells for $2.75,Kona wants to make at least $44. TvT hope this helps
The scale factor of similar figures is 4/3, and one side of the smaller triangle is 12.
The corresponding side on the larger triangle is 16.
True
False
Answers
Answer:
True
Step-by-step explanation:
Use a system of equations to solve 3x+6=6 by graphing on a separate sheet of paper.
*fill in question marks below please*
x=? y=?
so, (?, ?)
Answers
Step-by-step explanation:
A bro WHAT IS that I NEED POINT
The equation is solved algebraically and graphically above.
What is a mathematical function, equation and expression? function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is the equation as follows -
3x + 6 = 6
The given equation is -3x + 6 = 6
3x = 6 - 6
3x = 0
x = 0
Graphically, it can be solved as shown in the image attached.Therefore, the equation is solved algebraically and graphically above.
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Simplify completely*****
Answers
Answer:
[tex]\displaystyle x - 3[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsFactoringStep-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{x^2 + 7x - 30}{x + 10}[/tex]
Step 2: Simplify
[Fraction] Factor numerator: [tex]\displaystyle \frac{(x - 3)(x + 10)}{x + 10}[/tex][Fraction] Divide: [tex]\displaystyle x - 3[/tex]Encryption Matrices are commonly used to encrypt data. Here is a simple form such an encryption can take. First, we represent each letter in the alphabet by a number, so let us take < space > = 0, A = 1, B = 2, and so on. Thus, for example, "ABORT MISSION" becomes [1 2 15 18 20 0 13 9 19 19 9 15 14]. To encrypt this coded phrase, we use an invertible matrix of any size with integer entries. For instance, let us take A to be the 2 × 2 matrix 3 4 1 2 . We can first arrange the coded sequence of numbers in the form of a matrix with two rows (using zero in the last place if we have an odd number of characters) and then multiply on the left by A. Encrypted Matrix = 3 4 1 2 1 15 20 13 19 9 14 2 18 0 9 19 15 0 = 11 117 60 75 133 87 42 5 51 20 31 57 39 14 , which we can also write as [11 5 117 51 60 20 75 31 133 57 87 39 42 14]. To decipher the encoded message, multiply the encrypted matrix by A−1. The following exercise uses the above matrix A for encoding and decoding. Use the matrix A to encode the phrase "GO TO PLAN B".
Answers
Answer:
ok
Step-by-step explanation:
how do I find b of the traingal
Answers
Answer:
Pythagorean Theorum:
16ft
Step-by-step explanation:
pythagorean theorum states a^2+b^2=c^2
it only works for right triangles, c is the hypotenuse, a and b are the legs
so to find b we plug in the info we have!
7.8^2+b^2=17.8^2
next we simplify:
60.84+b^2= 316.84
subtract 60.84 from both sides to isolate the variable:
b^2=256
square root both sides
b=16
16ft is the answer
I hope this helps!
The cost of a new 19-inch television would be around
a) $40.
b) $400.
c) $4,000.
Answers
Answer:
A
Step-by-step explanation:
They are typically around $100 or less. closest would be 40
A box contains four equal-sized cards labeled 1, 3, 5, and 7. Tim will select one card from the box. What is the Probability that Tim will select a card labeled with a number less than 6? Give the probability in any one of the three ways.
Answers
Answer:
3/4
Step-by-step explanation:
There are 4 total outcomes - 1,3,5 and 7.
The outcomes which are less than 6 are 1, 3 and 5. So 3/4 will be < 6.
3 examples of proportion in real life ?
Answers
Answer:
Proportion of games an NFL team wins.
Proportion of defective products in a shipment.
Proportion of voters of a certain candidate in an election.
Step-by-step explanation:
Proportion is a relationship between measures.
Examples in real life are:
Proportion of games an NFL team wins.
For example, this past regular season, the Buffalo Bills won 13 games out of 16, so the proportion of games won by the Bills is 13/16 = 0.8125.
Other possible examples are:
Proportion of defective products in a shipment.
Proportion of voters of a certain candidate in an election.
...
Find the value of x, given the figures
are similar.
10
30
36
A) 4
C) 90
B) 108
D) 12
Answers
Answer:
it's 12 cuz 36 divided by 3 is 12
translate into algebraic expression four divided by the sum of x and three
Answers
[tex]\frac{4}{x+3}[/tex]
sum is addition
Help
Don’t use for points and also be clear or I will take the points back
Answers
Answer:
x=47°
Step-by-step explanation:
..,........................
Answer:
I believe it is 47.
Step-by-step explanation: The reason why is because for a right angle it must be 90 degrees So, the way I solved this was getting 90-43 I got the 43 from BCD. then subtracted it and applied it to the other side, keep in mind I am only a freshman and it might be wrong super tiny chance but it might.
5у2 2is a power + бу - 4
Answers
Answer:
Its 5000
Step-by-step explanation 4883-3455=5000
Write the exponent for 3 x 3 x 3 x 3 x 3 (shift 6 to make the ^ sign). *
Answers
Answer:
3^5Step-by-step explanation:
The exponent is just the amount of times you multiply a number by itself. So if you're multiplying three five times, the power would be 5.
the sum of a number and its multiplicative inverse is 5 times the number
Answers
Answer:
Holii me ayudas a ganar plis
A state began an effort to increase the deer population. In year 2 of the effort, the deer population in a state forest was 3,000. In year 4, the population was 4,320.
The explicit rule for the geometric sequence is aₙ =
Answers
Step-by-step explanation:
i guess math is the hardest subject
Answer:
The answer is aₙ = 2,500 (6/5)^n-1
Hope i helped, have a wonderful day! :D
someone please help!!!
Answers
Answer:
y = 3x + 5 option A
Step-by-step explanation:
For 2 lines that are parallel with slopes m1 and m2, the slopes are equal. Hence
m1 = m2
Given the line y = 3x - 5 Comparing with the general equation of a line
y = mx + c where m is the slope of the line
m = 3
hence m1 = m2 = m = 3
For the line that passes through the given point (2,11) Using
y - y1 = m (x - x1)
y - 11 = 3(x - 2)
y - 11 = 3x - 6
Add 11 to both sides
y = 3x - 6 + 11
y = 3x + 5
A serving of cereal is 2/3 cup. There are 12 cups in the box. How many
servings of cereal are in the box?
Answers
Answer:
A serving of a certain kind of cereal is 2/3 cup. There are 12 cups of cereal in the box. How many servings of cereal are in the box? There are 12/(2/3) = 12*(3/2) = 36/2 = 18 total servings.
Step-by-step explanation:
There are 18 servings of cereal in the box.
To find the number of servings of cereal in the box, we can divide the total number of cups in the box by the amount of cereal in each serving.
Given:
Serving size: 2/3 cup
Total cups in the box: 12 cups
To find the number of servings, we divide the total cups by the serving size:
12 cups ÷ (2/3 cup)
= 12 cups × (3/2)
= 36/2
= 18 servings
Therefore, there are 18 servings of cereal in the box.
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A pond holds 1920 gallons of water. There is a leak and the amount of water drops 20 gallons every hour. How much water is in the pond after 2 days ?
Answers
Answer:
20 times an hour so 20 times 48 is 960 1920-960 is 960 gallons so there is 960 gallons of water left
Answer:
960 gallons
Step-by-step explanation:
20 gallons * 48 hous =960 gallons
1920 - 960 =960 gallons.
A certain town never has two sunny days in a row. Each day is classified as being either sunny, cloudy (but dry), or rainy. If it is sunny one day, then it is equally likely to be either cloudy or rainy the next day. If it is rainy or cloudy one day, then there is one chance in two that it will be the same the next day, and if it changes then it is equally likely to be either of the other two possibilities. In the long run, what proportion of days are sunny
Answers
Answer:
the proportion of days that are Sunny is 0.2
Step-by-step explanation:
Given the data in the question;
Using markov chain;
3 states; Sunny(1), Cloudy(2) and Rainy(3)
Now, based on given conditions, the transition matrix can be obtained in the following way;
[tex]\left[\begin{array}{ccc}0&0.5&0.5\\0.25&0.5&0.25\\0.25&0.25&0.5\end{array}\right][/tex]
so let the proportion of sunny, cloudy and rainy days be S, C and R respectively.
such that, from column 1
S = 0.25C + 0.25R -------------let this be equation 1
from column 2
0.5C = 0.5S + 0.25R
divided through by 0.5
C = S + 0.5R ---------------------- let this be equation 2
now putting equation 2 into equation;
S = 0.25(S + 0.5R) + 0.25R
S = 0.25S + 0.125R + 0.25R
S - 0.25S = 0.375R
0.75S = 0.375R
S = 0.375R / 0.75
S = 0.5R
Therefore,
from equation 2; C = S + 0.5R
input S = 0.5R
C = 0.5R + 0.5R
C = R
Now, we know that, the sum of the three proportion should be equal to one;
so
S + C + R = 1
since C = R and S = 0.5R
we substitute
0.5R + R + R = 1
2.5R = 1
R = 1/2.5
R = 0.4
Hence, the proportion of days that are Rainy is 0.4
C = R
C = 0.4
Hence, the proportion of days that are Cloudy is 0.4
S = 0.5R
S = 0.5(0.4)
S = 0.2
Hence, the proportion of days that are Sunny is 0.2
I need help on this question please
Answers
Answer:
dont mind me im just getting my points back
Step-by-step explanation: