The value of x, considering the similar triangles in this problem, is given as follows:
4.5 cm.
What are similar triangles?Two triangles are defined as similar triangles when they share these two features listed as follows:
Congruent angle measures, as both triangles have the same angle measures.Proportional side lengths, which helps us find the missing side lengths.Considering that y = 53º, the proportional relationship for the side lengths in this problem is given as follows:
x/9 = 3/6.
Applying cross multiplication, the value of x is obtained as follows:
6x = 27
x = 27/6
x = 4.5 cm.
More can be learned about similar triangles at brainly.com/question/14285697
#SPJ1
solve 3y^{2} - (y + 2) (y - 2)
..........................
Answer:
the answer is attached to the picture
please help quick its timed
Answer:
2. The Second Term should be positive, 3. The last term should be -1 1/2, not -1 1/4. and 4. He added -8 and -2 instead of multiplying -8 by -2.
Step-by-step explanation:
Find the sales tax only. $34 groceries; 8.5% tax
6(2y+ 6) = 4(9 + 3y)
0=0
The equation has, one solution? Two solutions? Infinitely many solutions??
Hillview Elementary School has 5 sixth-grade classes of 23 students each. On a Friday, the entire 6th grade went on a field trip tothe science museum. Some of the 6th graders were absent that day.If s represents the number of 6th grade students who were absent on that Friday, which of the following expressions shows howmany 6th graders went to the science museum?
B (23x5)-s
1) Gathering the data:
5 6th grade classes of 23 students
S= absent students
2) Since S represent the absent students. The question is How many went to the museum.
Then the expression that represents the absent students
is
5 classes of 23 students:
(23 x 5)
Minus the number of absent students, so:
(23x5)-s
Factor 25z^2 - 81
ANSWER FAST WILL GIVE BRAINLIEST
Answer: B= (5z+9) (5z-9)
Step-by-step explanation:
Answer:
Step-by-step explanation:
Step 1: Use the sum-product pattern
25z² - 81 =
25z² + 45z - 45z - 81 =
Step 2: Common factor from the two pairs
(25z² + 45z) + (−45z − 81) =
Step 3: Rewrite in Factored Form
5z (5z + 9) − 9 (5z + 9) =
(5 - 9) (5 + 9)
Solution:
B: (5 + 9) (5 - 9)
help me fill this out thanks
Answer:
81 square kilometers
Step-by-step explanation:
the area = 9 × 9
= 81 square kilometers
Gymnastics Class
Girls Boys
65 35
Identify the ratios that are equivalent to the ratio of the number of girls who attend gymnastics class to the total number of students in the class.
20:13 20:7 13:20 7:20 13:7 65:100 13:9 100:65 9:13 7:13
which ONES are equivalent to 65:35
25 points and brainliest
Answer:
it is 13:7
Step-by-step explanation:
an unreliable study can occur if the . a. survey is very clear b. survey yields consistent results c. test administration is inconsistent
An unreliable study can occur if the test administration is inconsistent
Consistency is the key to success in anything and it implies to the studies and surveys as well. If you want the results of the study to be reliable, then you must be consistent in test administration.
Inconsistency can lead to various issues like improper representation of the feedback which may alter the results. This can lead to various problems.
For example, test performed at certain time may have a different set of people and absence of periodic tests can accommodate feedback from irrelevant people.
Therefore, a proper set schedule must be followed for the tests with consistency.
You can learn more about the sampling techniques of test administration from
https://brainly.com/question/17743025
#SPJ4
Find the generating function of the sequence {an}n≥0 determined by an = an−1 + 6an−1 with initial conditions a0 = 1, a1 = 3. You need to find the closed form of the generating function, but you don’t need find the closed form of the coefficients.
The generating function for the sequence {an} is given by a(x) = (1 + 2x) / (1 - x - 6x^2). It captures the terms of the sequence {an} as coefficients of the powers of x.
To find the generating function of the sequence {an}, we can use the properties of generating functions and solve the given recurrence relation.
The given recurrence relation is: an = an-1 + 6an-2
We are also given the initial conditions: a0 = 1 and a1 = 3.
To find the generating function, we define the generating function A(x) as:
a(x) = a0 + a1x + a2x² + a3x³ + ...
Multiplying the recurrence relation by x^n and summing over all values of n, we get:
∑(an × xⁿ) = ∑(an-1 × xⁿ) + 6∑(an-2 × xⁿ)
Now, let's express each summation in terms of the generating function a(x):
a(x) - a0 - a1x = x(A(x) - a0) + 6x²ᵃ⁽ˣ⁾
Simplifying and rearranging the terms, we have:
a(x)(1 - x - 6x²) = a0 + (a1 - a0)x
Using the given initial conditions, we have:
a(x)(1 - x - 6x²) = 1 + 2x
Now, we can solve for A(x) by dividing both sides by (1 - x - 6x^2²):
a(x) = (1 + 2x) / (1 - x - 6x²)
Therefore, the generating function for the given sequence is a(x) = (1 + 2x) / (1 - x - 6x²).
Read more on Functions here: https://brainly.com/question/29890699
#SPJ11
A rental car company charges $31 per day to rent a car and $0.13 for every mile
driven. Jocelyn wants to rent a car, knowing that:
She plans to drive 500 miles.
• She has at most $220 to spend.
.
Write and solve an inequality which can be used to determine d, the number of days
Jocelyn can afford to rent while staying within her budget.
Answer:
The number of days is at most 5 days
= d ≤ 5 days
Step-by-step explanation:
A rental car company charges $31 per day to rent a car and $0.13 for every mile driven. Jocelyn wants to rent a car, knowing that:
She plans to drive 500 miles.
• She has at most $220 to spend.
At most means Less than or equal to $220
The inequality for expressing this = ≤
Hence, the inequality which can be used to determine d, the number of days Jocelyn can afford to rent while staying within her budget.
$31 × d + $0.13 × 500 miles ≤ $200
The inequality is given as:
31d + 65 ≤ 220
Solving further
31d ≤ 220 -65
31d ≤ 155
d ≤ 155/31
d ≤ 5
Therefore, the number of days is at most 5 days
Can somone help me with this will mark u brainliest
Answer: 2\(\sqrt{2}\)
Step-by-step explanation: First plug in the value, which is \(\sqrt{8}\)
Then divided to 2\(\sqrt{2}\)
List your two solutions to help people during a weather-related hazard below:hurricane
Answer: Supplies
Step-by-step explanation: the best way to help people is to send them supplies cause usually after a hurricane they could have there home or water source destroyed
jerry has constructed a multiple regression model and wants to test some assumptions of that model. in particular, he is testing for normality of the residuals. to do this jerry should:
What Jerry can do if he is testing for normality of the residuals in the regression analysis is to; construct a normal quantile plot of the residuals and see if the result is an approximately upward sloping straight line.
How to Interpret Regression Analysis?Regression Analysis creates an equation that is the best fit of the given data of both the dependent and the independent variables. Now, it should be noted that the residuals are the error in the regression equation predicted values as well as the actual sample values.
The quantile plot is basically a standard way to tell us whether the data is distributed. Now, If the data points stay quite close to an upward sloping line in the quantile plot, then it can be assumed that the residuals are normally distributed. Then, values of the coefficients are tested to check that they are not statistically equal to zero via a t-test. The t-test is required to know whether the results of the regression are seen to be significant. Finally, results of a t-test usually possess a requirement that the residuals, is normally distributed.
Read more about Regression Analysis at; https://brainly.com/question/26755306
#SPJ1
Find the length of the third side of the right triangle. Give an exact answer and an approximation to three decimal places if needed. PLEASE HELP!!!!!!
what ius the symoble for iron
Answer:
fe
Step-by-step explanation:
In the image below, you can map ΔDFG to ΔHJK by a series of transformations. Determine the transformations performed and provide the coordinate notation for each transformation.
Answer:
Step-by-step explanation:
At point D rotate 90° counter-clockwise. The translate 3 units left and 2 unit up.
does 9, 13, 16 make a right triangle
Answer:
no it makes an acute angle
Step-by-step explanation:
9+13+16=38
to be a right triangle they need to equal 90
Perform the indicated operations and simplify.
(x - 3y)² + 3(x + y)(x − 4y) + x(3x + 4y + 3)
Let's simplify the expression step by step: Expand the squared term:
(x - 3y)² = (x - 3y)(x - 3y) = x² - 6xy + 9y²
Expand the second term:
3(x + y)(x − 4y) = 3(x² - 4xy + xy - 4y²) = 3(x² - 3xy - 4y²)
Expand the third term:
x(3x + 4y + 3) = 3x² + 4xy + 3x
Now, let's combine all the expanded terms:
(x - 3y)² + 3(x + y)(x − 4y) + x(3x + 4y + 3)
= x² - 6xy + 9y² + 3(x² - 3xy - 4y²) + 3x² + 4xy + 3x
Combining like terms:
= x² + 3x² + 3x² - 6xy - 3xy + 4xy + 9y² - 4y² + 3x
= 7x² - 5xy + 5y² + 3x
The simplified form of the expression is 7x² - 5xy + 5y² + 3x.
Learn more about expression here:
https://brainly.com/question/28170201
#SPJ11
Write the standard form of the line with x- intercept of 3 and y-intercept of 4
suppose x is a normally distributed random variable with a mean of 12 and a standard deviation of 3. the probability that x equals 19.62 is . a. 0 b. .0055 c. .4945 d. .9945
The probability of x being equal o 19.62 is d) 0.
It is given that x is normally distributed with a mean of 12 and a standard deviation of 3.
Now, Normal distribution is a continuous distribution.
This implies that the probability is measured over an interval, taking an infinite number of points in between.
If we plot a continuous distribution, the probability here at a point is not the value of the y coordinate at that point. Instead, it is seen as an area under the curve of the distribution, between the two intervals, say a and b.
Therefore, if we take up a single point say c, then the probability will be the area under the curve from c to c, which will obviously be 0.
Hence, the probability that x = 19.62 will be 0.
To learn more about normal distribution visit
https://brainly.com/question/13759327
#SPJ4
Calculate the interest on a 90-day, 9% note for $50,000 (Use a 360 day year to compute interest Round your answer to the nearest dollar ) A. S375 B. S4.500 O C. $1,125 O D. $2,250
The correct answer is C. $11,250.
To calculate the interest on a 90-day, 9% note for $50,000, we can use the simple interest formula:
Interest = Principal × Rate × Time
Given:
Principal (P) = $50,000
Rate (R) = 9% = 0.09 (decimal)
Time (T) = 90 days
Since the interest is calculated based on a 360-day year, we need to convert the time in days to a fraction of a year:
Time (T) = 90 days / 360 days = 0.25 (fraction of a year)
Now we can calculate the interest:
Interest = $50,000 × 0.09 × 0.25
Interest = $11,250
Rounded to the nearest dollar, the interest on the 90-day, 9% note for $50,000 is $11,250.
Therefore, the correct answer is C. $11,250.
To know more about simple interest:
https://brainly.com/question/30964674
#SPJ11
the naturally made bath and body store pays $550 a month for rent and utilities. the average cost for its products to be manufactured is about $3.00 an item. if the average price for a product sold in the store is $5.50, what will the break-even point be? let x represent the number of products sold. the break-even point occurs when the cost function equals the revenue function. 550 3.00x
The break-even point is 1100 products sold. This means that if the store can sell 1100 products, it will be able to cover its costs and make a profit.
What is average ?
The average is a measure of central tendency that is calculated by adding a set of values together and dividing the sum by the number of values. It is also known as the arithmetic mean. It is a way to represent a typical value of a dataset.
The break-even point is the point at which the cost of the products equals the revenue from the sales of the products. To find the break-even point, we need to set the cost function (C(x) = 550 + 3.00x) equal to the revenue function (R(x) = 5.50x) and solve for x.
C(x) = 550 + 3.00x = R(x) = 5.50x
3.00x = 5.50x - 550
0.50x = 550
x = 1100
So the break-even point is 1100 products sold. This means that if the store can sell 1100 products, it will be able to cover its costs and make a profit.
To learn more about average visit : brainly.com/question/24057012
#SPJ4
The distance, in meters, traveled by a moving particle in t seconds is given by d(t)=7t(t+4). Estimate the instantaneous velocity at t=3 seconds using difference quotients with h=0.1,0.01, and 0.001. If necessary, round the difference quotients to no less than six decimal places and round your final answer to the nearest integer
According to the question The estimates for the instantaneous velocity at \(\(t = 3\)\) seconds using difference quotients with \(\(h = 0.1\), \(h = 0.01\), and \(h = 0.001\)\) are 114, 115, and 116, respectively.
To estimate the instantaneous velocity at \(\(t = 3\)\) seconds using difference quotients with different values of \(\(h\),\) we can use the formula for difference quotients:
\(\[v(t) = \lim_{{h \to 0}} \frac{{d(t+h) - d(t)}}{{h}}\]\)
Given:
\(\(d(t) = 7t(t+4)\)\)
\(\(t = 3\)\)
We will calculate the difference quotients for \(\(h = 0.1\), \(h = 0.01\), and \(h = 0.001\)\) and round them to at least six decimal places.
For \(\(h = 0.1\):\)
\(\[v(3) \approx \frac{{d(3+0.1) - d(3)}}{{0.1}}\]\)
\(\[v(3) \approx \frac{{d(3.1) - d(3)}}{{0.1}}\]\)
Substituting the values into the expression:
\(\[v(3) \approx \frac{{7(3.1)(3.1+4) - 7(3)(3+4)}}{{0.1}}\]\)
Using a calculator, we find:
\(\[v(3) \approx 113.8\]\)
For \(\(h = 0.01\):\)
\(\[v(3) \approx \frac{{d(3+0.01) - d(3)}}{{0.01}}\]\)
Substituting the values:
\(\[v(3) \approx \frac{{7(3.01)(3.01+4) - 7(3)(3+4)}}{{0.01}}\]\)
Using a calculator, we find:
\(\[v(3) \approx 115.41\]\)
For \(\(h = 0.001\):\)
\(\[v(3) \approx \frac{{d(3+0.001) - d(3)}}{{0.001}}\]\)
Substituting the values:
\(\[v(3) \approx \frac{{7(3.001)(3.001+4) - 7(3)(3+4)}}{{0.001}}\]\)
Using a calculator, we find:
\(\[v(3) \approx 115.59\]\)
Rounding the values to the nearest integer:
For \(\(h = 0.1\), \(v(3) \approx 114\).\)
For \(\(h = 0.01\), \(v(3) \approx 115\).\)
For \(\(h = 0.001\), \(v(3) \approx 116\).\)
Therefore, the estimates for the instantaneous velocity at \(\(t = 3\)\) seconds using difference quotients with \(\(h = 0.1\), \(h = 0.01\), and \(h = 0.001\)\) are 114, 115, and 116, respectively.
To know more about velocity visit-
brainly.com/question/29177272
#SPJ11
Please helpp!
Which postulate proves these two
triangles are congruent?
A. ASA
B. SAS
C. None, not congruent
D. HL
Answer:
it may be B but I think it's C
Step-by-step explanation:
not sure if this is right, but I would say not congruent. it may be sas but in order for it to be sas then the Angle must be in-between the two congruent sides
Both triangles are congruent by (SAS) side-angle-side postulate.
The correct option is B.
What are congruent triangles?Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure. These triangles can be slides, rotated, flipped and turned to be looked identical.
Given,
Two triangles
ABC and DEC
AB = DE (Given)
BC = EC (Given)
∠ACB = ∠DCE (Vertical angles at intersection of DB and AE)
By, Side-Angle-side theorem of congruent triangles,
ΔABC ≅ΔDEC
Hence, by side-angle-side (SAS) postulate, both triangles are congruent.
Learn more about congruent triangles here:
https://brainly.com/question/26131452
#SPJ5
5. WILL GIVE BRAINLIST TO BEST ANSWER
Use the figure to find the specified angle measure. In the figure, p |q.
Answer:
105 degrees, by the alternate interior angles theorem
Step-by-step explanation:
when I triple my number and add five I get twenty-six what is my number
Answer:
7
Step-by-step explanation:
26-5=21
21 divided by 3 equals 7.
Answer: 7
Step-by-step explanation:
26 - 5 = 21
21 / 3 = 7
hope this helps
plz mark brainleist
How to find a side length of a right triangle with an angle and a side?
Using trigonometric functions, we can find a side length of a right triangle with an angle and a side.
What is the trigonometric ratio?Trigonometric ratios are the ratios of a right triangle's sides. The sine (sin), cosine (cos), and tangent (tan) are three often used trigonometric ratios. There are other trigonometric ratios which are reciprocals of these ratios.
Trigonometric ratios can be computed either using the provided acute angle or by calculating the ratios of the right-angled triangle's sides.
You can determine the hypotenuse by dividing the length of the side by sin(θ) if you have an angle and the side opposite to it. Alternatively, to find the length of the side next to the angle, divide the length by tan(θ).
To learn more about ratios visit:
https://brainly.com/question/1504221
#SPJ4
123% of what is 111?
this is one of the reasons I hate math
Answer:
90.244
Step-by-step explanation:
111 ÷ 1.23 = 90.244
Which point on the number line represents 30%?
a. R
b. S
c. T
d. V
Answer:
C. S
Step-by-step explanation:
Because they are 27 letters so
0.3* 27= 8.1
So 27-8= 19 so the 19th letter is S