To find a missing side in a right rtaingle as given use Pythagorean theorem:
\(hypotenuse^2=Leg1^2+Leg2^2\)Misising side in given triangle is a Leg:
\(\begin{gathered} Subtract\text{ Leg2}^2\text{ from both sides of the equation:} \\ hypotenuse^2-Leg2^2=Leg1^2+Leg2^2-Leg2^2 \\ hypotenuse^2-Leg2^2=Leg1^2 \\ \\ Rewrite_ \\ Leg1^2=hypotenuse^2-Leg2^2 \\ Take\text{ square root of both sides of the equation:} \\ \sqrt{Leg1^2}=\sqrt{hypotenuse^2-Leg2^2} \\ Leg1=\sqrt{hypotenuse^2-Leg2^2} \end{gathered}\)\(Leg1=\sqrt{hypotenuse^2-Leg2^2}\)\(\begin{gathered} x=\sqrt{21^2-10^2} \\ x=\sqrt{441-100} \\ x=\sqrt{341} \\ x\approx18.47 \end{gathered}\)Then, the approximate value of x is 18.47Answer: Athe data contained in the file foodindustry show the company/chain name, the average sales per store ($1000s), and the food segment industry for 47 restaurant chains (quick service restaurant magazine website).
The data contained in the foodindustry file can be expressed mathematically by calculating the average sales per store for each restaurant chain.
This can be done by dividing the total sales of all stores in the chain by the total number of stores in the chain. Mathematically, this could be expressed as follows:
Average Sales per Store = Total Sales of all Stores / Total Number of Stores
For example, if a chain had 10 stores with a total sales of $100,000, the average sales per store would be $10,000 ($100,000/10). This calculation can be used to compare the performance of different restaurant chains, as well as to identify potential areas of improvement.
The data contained in the foodindustry file can be expressed mathematically by calculating the average sales per store for each restaurant chain, which is done by dividing the total sales of all stores in the chain by the total number of stores in the chain.
Learn more about Average here:
https://brainly.com/question/2906096
#SPJ4
Can anyone help me on this one
Hello !
Answer :
\({x}^{ - \frac{8}{3} }\)\(\sqrt[3]{ {x}^{ - 8} }\)\(\sqrt[3]{ ({x}^{ 4}) {}^{ - 2} }\)Explanation :
\( \to \boxed{ ({x}^{a}) {}^{b} = {x}^{ab} } \)
\( \to \boxed{ {x}^{ \frac{1}{n} } {}^{} = \sqrt[n]{x} } \)
\( ({x}^{4} ) {}^{ - \frac{2}{3} } = {x}^{- \frac{2}{3} \times 4} \\ \boxed{= {x}^{ - \frac{8}{3} } } \\ \boxed{= \sqrt[3]{ {x}^{ - 8} }} \\ \boxed{ = \sqrt[3]{ ({x}^{ 4}) {}^{ - 2} }}\)
Have a nice day ;)
If a ratio is 4:5, how many parts are there intotal?
Given:
Ratio of terms 4:5
To know:
How many parts are there?
Explanation:
If x:y then parts included is x+y
Solution:
We have 4:5.
So, parts will be 4+5=9
.Hence, 9 is the answer.
Hi can any one teach me this constant difference
The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).
How do you find the constant difference in a sequence of numbers?In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.
Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.
Learn more about numbers in https://brainly.com/question/24908711
#SPJ1
algebra 2 equality’s
The algebra 2 is a vast field that deals with various mathematical concepts, such as equations and inequalities.
Algebra 2 is a branch of mathematics that mainly deals with equations and inequalities. An equation is a mathematical statement that implies that two expressions are equal.
Similarly, an inequality implies that two expressions are not equal but are related by a certain operation.There are different types of equations that one may encounter in Algebra 2.
A linear equation is an equation that can be represented by a straight line on the coordinate plane. A quadratic equation is one that can be written in the form ax² + bx + c = 0.
There are also exponential, logarithmic, and trigonometric equations that one may come across.Inequalities are statements that two expressions are not equal. Inequalities can be represented graphically on a coordinate plane, just like equations.
There are different types of inequalities such as linear, quadratic, exponential, and logarithmic inequalities.In conclusion, These concepts help in solving real-world problems by providing a framework to analyze them mathematically.
To learn more about : algebra
https://brainly.com/question/22399890
#SPJ8
A 2 meter television camera at ground level is filming the lift-off of a space shuttle at a point 750 meters from the launch pad. The camera’s angle of elevation to the shuttle is 32° at this specific time . Find the height of the shuttle.
To find the height of the shuttle, we can use trigonometry and the concept of similar triangles. The height of the shuttle is approximately 468.675 meters.
Let's assume that the height of the shuttle is represented by 'h' meters. From the information given, we know that the distance between the camera and the launch pad is 750 meters, and the angle of elevation from the camera to the shuttle is 32 degrees.
Using trigonometry, we can set up the following equation:
tan(32°) = h / 750
To find the value of h, we can rearrange the equation:
h = tan(32°) * 750
Using a calculator, we can find the value of tan(32°) ≈ 0.6249.
Now we can calculate the height of the shuttle:
h ≈ 0.6249 * 750
h ≈ 468.675 meters
Therefore, the height of the shuttle is approximately 468.675 meters.
For more such questions on trigonometry
https://brainly.com/question/24349828
#SPJ8
What is the purpose of data? Answer below.
The purpose of data is to provide information and insights that can be used to make informed decisions, draw conclusions, and gain knowledge about a particular subject or phenomenon.
Data plays a crucial role in various fields, including science, business, research, healthcare, and everyday life.One primary purpose of data is to describe and understand the world around us.
By collecting and analyzing data, we can identify patterns, trends, and relationships that exist within a dataset. This helps us gain a deeper understanding of complex systems and phenomena.
For example, in scientific research, data is used to study the behavior of natural processes, investigate the effects of interventions, and formulate theories and models.
Data also serves as a foundation for making informed decisions. By examining relevant data, individuals and organizations can assess the potential outcomes of different choices and select the most optimal course of action.
Data-driven decision-making enables organizations to improve efficiency, identify opportunities, mitigate risks, and enhance overall performance. In fields like marketing and finance, data is extensively used for market research, customer segmentation, trend analysis, and financial forecasting.
Furthermore, data is crucial for monitoring and evaluating performance. By collecting data over time, organizations can track progress, measure outcomes, and identify areas for improvement. Data-driven monitoring allows for evidence-based assessments and adjustments to strategies or interventions.
Overall, the purpose of data is to provide reliable information that can be used to enhance understanding, support decision-making, and drive progress in various domains. It empowers individuals and organizations with the ability to derive insights, solve problems, and make meaningful contributions to society.
For more such questions on data.
https://brainly.com/question/30459199
#SPJ8
can you plz help out
Work Shown:
r = 6 = radius
h = 9 = height
\(V = \text{volume of cylinder}\\\\V = \pi*r^2*h\\\\V = \pi*6^2*9\\\\V = \pi*36*9\\\\V = \pi*324\\\\V = 324\pi\\\\\)
A 55-inch is cut into two pieces. One piece is 4 times the length of the other. Find the length of the shorter piece.
The shorter section is x inches length, or 44.
What constitutes a length?
A line segment can be drawn on paper and has a set length. the measurement of the separation between the longest or longer side of an object's ends. 2: an exact distance The three miles of the road. 3: How much time something requires The movie lasts for two hours. 4: a lengthy fragment of something She purchased a length of pipe in
accordance with the instruction;
the shorter portion should be x.
It is 4x because the longer portion is 4 times as long as the other.
4x + x = 55
5x = 55
4x = 44
x = 11
The length of the shorter piece is x, which is 44
TO KNOW MORE ABOUT LENGTH VISIT;
https://brainly.com/question/14759249
#SPJ9
Prove algebraically that the recurring decimal 0.34 has the value
31/90
Answer:
to prove if its the value of 31/90 u just do 31 ÷ 90 = 0.34444444
if n × 18 = ½ find n
Answer:
n = \(\frac{1}{36}\)
Step-by-step explanation:
n × 18 = \(\frac{1}{2}\)
To find the value of n we have to divide both sides by 18.
Let us solve it now.
18n = \(\frac{1}{2}\)
\(\frac{18n}{18}\) = \(\frac{1}{2}\) ÷ 18
n = \(\frac{1}{2}\) ÷ 18
n = \(\frac{1}{2}\) ÷ \(\frac{18}{1}\)
n = \(\frac{1}{2}\) × \(\frac{1}{18}\)
n = \(\frac{1}{36}\)
ANSWER PLSSSSSSSSSS
Angles B and C are supplementary. If m∠B = 2x - 40 and m∠C =2x + 20, how would you determine the measure of each angle?
Answer:
B=60 C=120
Step-by-step explanation:
Supplementary angles add up to 180.
so
2x-40+2×+20=180
4×-20=180
4×=200
×=50
B 2(50)-40=100-40=60
C 2(50)+20=100+20=120
find x if: a+b=c and a=2x+5 b=3x-6 c=24 then x=
Answer:
x=5
Step-by-step explanation:
When given multiple equations, substitution is the best choice.
1) a+b=c
2) a=2x+5
3) b=3x-6
4) c=24
We can use equations 2, 3, and 4, to substitute equation 1.
2x+5+3x-6 = 24
Combine like terms
5x-1=24
5x=25
x=5
(5x3)+(nx4)=5(3+4) write each missing number.
Answer:
5
Step-by-step explanation:
5 x 3 = 15
n x 4 = 4n
3 + 4 = 7
(5 x 3) + (n x 4) = 5(3 + 4)
15 + 4n = 5*7
15 + 4n = 35
4n = 35 - 15
4n = 20
n = 20/4
n = 5
Hence, the value of missing number (n) is 5.
Find the 19th term in the geometric sequence, the first term being a=4 and the common ratio being r=2
The 19th term of a geometric sequence is 1048576.
What is a geometric sequence?A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.
We have,
a = 4 and r = 2
The nth term of a geometric sequence.
= a\(r^{n-1}\)
Now,
The 19th term of a geometric sequence.
= a\(r^{n-1}\)
Substituting a and r values.
= 4 x \(2^{19 - 1}\)
= 4 x \(2^{18}\)
= 4 x 262144
= 1048576
Thus,
The 19th term of a geometric sequence is 1048576.
Learn more about geometric sequence here:
https://brainly.com/question/2321576
#SPJ9
Question 8 of 10 The graph of the absolute value parent function, *(x) = Ix, is stretched horizontally by a factor of 5 to create the graph of g(x). What function is g(x)
Answer:
g(x) = |x/5|
Step-by-step explanation:
A function is stretched horizontally by a factor of k when x is replaced by x/k.
g(x) = f(x/5)
g(x) = |x/5| . . . . . stretch of absolute value by a factor of 5
write the inequality shown -4x+y=-3
The inequality corresponding to the equation -4x + y = -3 is either y > 4x - 3 or y < 4x - 3, depending on the relationship between 4x - 3 and 0.
To write the inequality represented by the equation -4x + y = -3, we first need to manipulate the equation to express y in terms of x.
Starting with -4x + y = -3, we isolate y by adding 4x to both sides:
y = 4x - 3
Now we have y expressed in terms of x. To form the inequality, we consider the relationship between x and y. The inequality depends on whether the expression 4x - 3 is greater than or less than 0.
If 4x - 3 is greater than 0, then y is greater than 0, and we can write the inequality as:
y > 4x - 3
If 4x - 3 is less than 0, then y is less than 0, and we can write the inequality as:
y < 4x - 3
The inequality represents a region in the coordinate plane where the y-values are either greater than or less than the expression 4x - 3, depending on the direction of the inequality sign.
For example, if we choose a point (x, y) in the region above the line y = 4x - 3, where y is greater than 4x - 3, the inequality y > 4x - 3 will hold true. On the other hand, if we choose a point below the line, where y is less than 4x - 3, the inequality y < 4x - 3 will be satisfied.
For more such questions on inequality
https://brainly.com/question/30238989
#SPJ8
How can I factor the following expression by grouping:
a) 4x^3 - 2x^2 + 8x - 4
The factored expression of 4x³ - 2x² + 8x - 4 is (2x² + 4)(2x - 1) by grouping
How to factor the expression by groupingFrom the question, we have the following parameters that can be used in our computation:
4x³ - 2x² + 8x - 4
Group the expression in 2's
So, we have
(4x³ - 2x²) + (8x - 4)
Factorize each group
2x²(2x - 1) + 4(2x - 1)
So, we have
(2x² + 4)(2x - 1)
Hence, the factored expression is (2x² + 4)(2x - 1)
Read more about expression at
https://brainly.com/question/31819389
#SPJ1
Becca made 960 cookies to sell. She wants to package the cookies in the the boxes of 16 . Her goal is to make $630 from selling her cookies . If each box of cookies is priced the same , how much should Becca charge for each box ?
Step-by-step explanation:
Total cookies = 960
Each box has 16 cookies
Her goal is $630
First, you want to find out how many boxes she made
960÷ 16 = 60
She made 60 boxes
Now you want to find the price for each box
630 ÷ 60 = 10.5
She should charge $10.50 for each box
I hope this helps!!!
This semicircle has a radius of 8cm . What is the area of this figure?
Answer:
100.48 cm² (Option 2)⠀
Step-by-step explanation:
⠀
We know,
\({\longrightarrow \qquad \boldsymbol{\pmb{Area_{(semicircle)} = \dfrac{1}{2}( \pi {r}^{2} ) }}}\)
⠀
Where,
r is the radius of the semicircle. Here, the radius is 8 cm .We will take the value of π as 3.14 .⠀
Now, Substituting the values in the formula :
⠀
\({\longrightarrow \qquad \rm{{Area_{(semicircle)} = \it \dfrac{1}{2} \times 3.14 \times ({8})^{2} }}}\)
\({\longrightarrow \qquad \rm{{Area_{(semicircle)} = \it \dfrac{1}{ \cancel2} \times 3.14 \times \cancel{64} }}}\)
⠀
\({\longrightarrow \qquad \rm{{Area_{(semicircle)} = \it {1} \times 3.14 \times 32 }}}\)
⠀
\({\longrightarrow \qquad \rm{{Area_{(semicircle)} = \it {1} \times 100.48 }}}\)
⠀
\({\longrightarrow \qquad \boldsymbol{ \pmb{Area_{(semicircle)} \approx \it 100.48 }}}\)
⠀
Therefore,
The area of the semicircle is 100.48 cm² approximately .Answer:
100.48 cm² ( option 2 )
Step-by-step explanation:
Given:-
Radius of semicircle :- 8cmTo find:-
Area of the figureSolution:-
Area of semi-circle :-
\( \frac{1}{2} \pi \: r {}^{2} \)
1/2 × 3.14 × 8²
\(100.48 \: cm {}^{2} \)
what property is used to get from step 1 : 6(5x-2)=0 to step 2: 5x=2
Answer:
Step-by-step explanation:
You can do one of two things when you start this question.
you can use the distributive property to get rid of the brackets oryou can do what was done here: divide both sides of the given equation by 6. So the answer is, divide both sides by 6f(x)=2x; g(x)=k·f(x) find K
As per the given situation, when g(x) = k · f(x), and f(x) = 2x, the value of k is 2.5.
In mathematics, a function is a relation between a set of inputs and a set of possible outputs, where each input is related to exactly one output. Functions are often represented using function notation.
To find k, we need to know the value of g(x) for a specific value of x. Let's say we want to find k when x = 3. Then:
g(3) = k · f(3)
g(3) = k · 2(3)
g(3) = k · 6
If we know the value of g(3), we can solve for k:
g(3) = 15
15 = k · 6
k = 15/6
k = 2.5
Therefore, when g(x) = k · f(x), and f(x) = 2x, the value of k is 2.5.
For more details regarding function, visit:
https://brainly.com/question/12934295
#SPJ1
ANSWER ASAP PLEASEEE
Step-by-step explanation:
the solution is their intersection point. it means that at this point they are equal, they share the same "behavior".
so,
one solution at (2, -1)
jim connected the points with line segments to form a polygon. which point is located inside the polygon
A) (4,5)
B) (8,6)
C) (5,7)
D) (3,1)
Answer:
Step-by-step explanation
Answer:
Step-by-step explanation:
Help plz I’ll mark brainliest
Please solve (17 points)
Answer:
50.6
Step-by-step explanation:
A school has 4 different after school activities planned in the fall Janet has time to participate in 2 of these activities. How many different pairs of after-school activities can Janet choose from the available activities?
Answer:
6
Step-by-step explanation:
Of 4 options, Janet has to choose 2. This is combinations as A and B is the same as B and A.
Combinations formula gives us 4!/ 2!2! , or 6.
Andrei, Amit and Andrew were each asked to factor the term 20x^620x
6
20, x, start superscript, 6, end superscript as the product of two monomials. Their responses are shown below.
Andrei Amit Andrew
20x^6=(2x)(10x^5)20x
6
=(2x)(10x
5
)20, x, start superscript, 6, end superscript, equals, left parenthesis, 2, x, right parenthesis, left parenthesis, 10, x, start superscript, 5, end superscript, right parenthesis 20x^6=(4x^3)(5x^3)20x
6
=(4x
3
)(5x
3
)20, x, start superscript, 6, end superscript, equals, left parenthesis, 4, x, cubed, right parenthesis, left parenthesis, 5, x, cubed, right parenthesis 20x^6=(20x^2)(x^3)20x
6
=(20x
2
)(x
3
)20, x, start superscript, 6, end superscript, equals, left parenthesis, 20, x, squared, right parenthesis, left parenthesis, x, cubed, right parenthesis
1) Which of the students factored 20x^620x
6
20, x, start superscript, 6, end superscript correctly?
Choose all answers that apply:
Choose all answers that apply:
(Choice A) Andrei
A
Andrei
(Choice B) Amit
B
Amit
(Choice C) Andrew
C
Andrew
(Choice D) None of the above
D
None of the above
Based on the given responses, the student who factored 20x^6 = (2x)(10x^5) correctly is Andrei. Therefore, the correct answer is (Choice A) Andrei.
Among the given responses, the student who factored 20x^6 = 20, x to the power of 6 correctly is Andrei. Andrei's factorization is (2x)(10x^5), which correctly represents the original term 20x^6. Therefore, the correct answer is (Choice A) Andrei.
Amit's factorization is (4x^3)(5x^3), which is incorrect because it breaks down the term into two factors with the same exponent, while the original term has an exponent of 6.
Andrew's factorization is (20x^2)(x^3), which is also incorrect as it does not accurately represent the original term 20x^6.
Hence, the only student who correctly factored 20x^6 = 20, x to the power of 6 is Andrei.
The right answer is A. Andrei who factored 20x^6 = (2x)(10x^5) correctly.
For more such question on factored
https://brainly.com/question/43919
#SPJ11
This question below.
513.4497 rounded to the hundredths place
Answer:
513.45
Step-by-step explanation:
use intelligence