Answer:
Options A and C are correct answers.
Similar triangles may or may not be congruent.
The true statements are: \(\mathbf{A.\ \triangle ABC \sim \triangle ADB,\ C.\ \triangle ABC \sim \triangle BDC,\ D.\ \triangle ABD \sim \triangle BCD }\)
From the figure, we have the following highlights
Triangle ABC is right-angled at BTriangle ADB is right-angled at DTriangle BDC is right-angled at DThis means that:
Triangles ABC and ADB are similarTriangles ABC and BDC are similarTriangles BDC and ADB are similarHence, the true statements are: (a), (c) and (d)
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Drag each label to the correct location on the graph. Not all labels will be used.
SallorsBay is a boat rental company that offers sailboat rentals for tourists. They charge a certain rate for the rental of a sailboat and
an additional hourly fee according to the length of time for which the tourists rent the boat.
Complete the graph with the appropriate quantities that describe SailorsBay's rental charges.
у
C
Number of Sailboats
Time (weeks)
Rental Charge ($)
Time (days)
Time (hours)
Number of People
Answer:
Not all labels will be used. ... They charge a certain rate for the rental of a sailboat and an additional ... according to the length of time for which the tourists rent the boat.
I'm trying to find the measure of this parallelogram a= x b=145° c=y and d=z
Answer:
y = 145 ( being parallelogram opposite angle is equal)
similarly, x = z = 35 ( being parallelogram, sum of two ad angle is 180)
Step-by-step explanation:
8m + 34 = 10 - 16m
How do I do?
Answer:
m=-1
Step-by-step explanation:
8m + 34 = 10 - 16m
fist add 16m to each side
8m+16m+34=10
then subtract 34 from each side
8m+16m=10-34
add like terms
24m=-24
divide both sides by 24
m=-1
using maria’s new budget, if she wanted to buy a new tv that costs $420 and wanted to do it in 6 months, how much additional money must she cut from her expenses each month?
Maria must cut an additional $70 from her expenses each month in order to save enough money to buy a new TV that costs $420 in 6 months. By allocating this additional amount towards her savings goal, she will be able to reach her target within the desired timeframe. It's important for Maria to review her budget and identify areas where she can reduce expenses in order to make room for the additional savings. This could involve cutting back on discretionary spending, finding ways to save on daily expenses, or exploring opportunities to increase her income.
Maria must cut an additional $70 from her expenses each month.
To determine how much additional money Maria must cut from her expenses each month to afford a new TV that costs $420 in 6 months, we divide the total cost by the number of months.
Additional money per month = Total cost / Number of months
Additional money per month = $420 / 6
Additional money per month = $70
With careful planning and commitment to her budget, Maria can achieve her goal of purchasing a new TV without compromising her financial stability.
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Please help me hurry!! 7
Answer:
option 1
Step-by-step explanation:
Using the recursive formula and a₁ = 6 , then
a₂ = 3 + 2a₁²
= 3 + 2 × 6² = 3 + 2 × 36 = 3 + 72 = 75
The value of y varies directly with x. When y = 75, x = 1/2 What is the value of y when x = 18?
Answer: 2700
Step-by-step explanation:
Y = KX
75 = K × ½
75 ÷ ½ = K
75/1 × 2/1 = K
K is 150
Y = 150 × 18
Please Help! This is due today and I don’t know/remember how to do this! If you end up answering please put what I should’ve done with all of these!
Answer:
See below
Step-by-step explanation:
Slope-intercept form ( or slope - y-axis intercept form)
is y = mx + b where m = slope and b is the y-axis intercept
so arrange each equation into this form
First one y +3 = x re-arrange to y = (1) x -3 slope =1 intercept = -3
Second one 2y-10 = -4x
2y = -4x +10
y = -2x+5 slope = -2 intercept = 5
I think you should try the rest of them....they are similar (14 is already done)
The equation y = 1.99x represents the cost y for x downloaded songs. Is this equation a direct variation?
- Yes, this is a direct variation
- No, this is not a direct variation.
( Will give 20 points )
Answer:
No.
Step-by-step explanation:
To find the y value, one must replace x value, meaning that it's a multi step problem and it's not direct because y=exact value is not given
Which of the following correlation coefficients represents the strongest relationship between two variables? -.75 +.60 .00 +.30
The correlation coefficient that represents the strongest relationship between two variables is -0.75.
In correlation coefficients, the absolute value indicates the strength of the relationship between variables. The strength of the association increases with the absolute value's proximity to 1.
The maximum absolute value in this instance is -0.75, which denotes a significant negative correlation. The relevance of the reverse correlation value of -0.75 is demonstrated by the noteworthy unfavorable correlation between the two variables.
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The navy bean soup recipe requires 180 g of leeks. If on the next day, your produce vendor tells you that the price of leeks has been changed to 3.65, what will the total cost of leeks in the navy bean soup recipe be? Round your answer to the nearest cent.
The total cost of leeks in the navy bean soup recipe will be $657.
To calculate the total cost of leeks in the navy bean soup recipe, we need to multiply the price per gram by the quantity required.
Price per gram: $3.65
Quantity required: 180 g
Total cost of leeks = Price per gram × Quantity required
Total cost of leeks = $3.65 × 180
Calculating the product:
Total cost of leeks = $657
Therefore, the total cost of leeks in the navy bean soup recipe will be $657.
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chosen at random from a bag comtaining 8 marbles: 4 blue 3 green and 1 red. define a probability distribution for this experiment on the sample space{B,G,R}
Answer:
1/2, 3/8, 1/8
Step-by-step explanation:
the radio of giving blue marbles is 4/8=1/2
the radio of giving green marbles is 3/8
the radio of giving red marbles is 1/8
Answer:
the probability of you getting a B marble is 1/2 for a R marble its 1/8 and for a G marble its 3/8.
Step-by-step explanation:
Problem 1: Tyler reads 2/3 of a book on Monday, 1/3 of it on Tuesday, 2/9 of it on Wednesday, and 3/4 of the remainder on Thursday. If he still has 14 pages left to read on Friday, how many pages are there in the book?
Answer:
180 pages
Step-by-step explanation:
Let
x = total number of pages
Monday + Tuesday + Wednesday
2/15x + 1/3x + 2/9x
= (6x+15x+10x)/45
= 31/45x
Thursday
x - 31/45x
= (45x-31x)/45
= 14/45x
3/4 of 14/45x
= 3/4 * 14/45x
= 42/180x
Total pages read = 31/45x + 42/180x
= (124x+42x)/180
= 166/180x
If he still has 14 pages left to read on Friday
Total read from Monday to Thursday + Friday
x = 166/180x + 14
x - 166/180x = 14
(180x-166x)/180 = 14
14/180x = 14
x = 14 ÷ 14/180
x = 14 × 180/14
x = 180 pages
find vertex and min/max !! HELP ASAP!!
y=-2(x+9)(x+3)
Answer:
max at (- 6, 18 )
Step-by-step explanation:
Given the equation of a parabola in intercept form
y = a(x + c)(x + d)
• If a > 0 then min vertex
• If a < 0 then max vertex
y = - 2(x + 9)(x + 3) ← is in intercept form
with a = - 2 < 0 then max vertex
y = - 2(x + 9)(x + 3) ← expand factors using FOIL
= - 2(x² + 12x + 27) ← distribute parenthesis by - 2
y = - 2x² - 24x - 54 ← in standard form
with a = - 2 and b = - 24
The x- coordinate of the vertex is
x = - \(\frac{b}{2a}\) = - \(\frac{-24}{-4}\) = - 6
Substitute x = - 6 into the equation and evaluate for y
y = - 2(- 6 + 9)(- 6 + 3) = - 2(3)(- 3) = 18
vertex = (- 6, 18 ) and is a max
At the local movie and game rental store there are 9 movies rented for every 7 games rented. Which of the following shows the ratio of movies to games at the rental store?
9/7
16/9
7/9
9/16
Answer:
9/7
Step-by-step explanation:
To make pancakes, Sheila needs 2 ½ cups of flour. If Sheila only has 2/3 cup of flour, how much more flour does she need
Step-by-step explanation:
To make pancakes, Sheila needs 2 ½ cups of flour. If Sheila only has 2/3 cup of flour, how much more flour does she need?
2 1/2 cups = 5/2 cups
Sheila has 2/3 cup flour but needs 5/2 cups.
Make denominators equal to 6:
Sheila has 4/6 cup flour but needs 15/6 cups so the difference is:
15/6 - 4/6 = 11/6 cups or 1 5/6 cups
Suppose our student center published data that the average starting salary for college graduates is 59k. You randomly sampled 49 college graduates and calculated the sample average salary is 44k. What test can you use to check whether the true average is 59k?.
One sample mean t test is used to to check whether the true average is 59k.
Average:
In statistics, average means a mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set.
Given,
Here we need to find in what test can you use to check whether the true average is 59k.
While we looking into the given question we have identified the following details,
Number of students = 49
True average = 59k
Sample average = 44k
In this given situation, the perfectly suitable test is one sample t test,
Why we used this because of a statistical hypothesis test used to determine whether an unknown population mean is different from a specific value.
Suppose our student center published data that the average starting salary for college graduates is 59k. You randomly sampled 49 college graduates and calculated the sample average salary is 44k.
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a large company is interested in improving the efficiency of its customer service and decides to examine the length of the business phone calls made to clients by its sales staff. here is a cumulative relative frequency graph from data collected over the past year. according to the graph, the shortest 80% of calls will take how long to complete? less than 10 minutes at least 10 minutes exactly 10 minutes at least 5.5 minutes less than 5.5 minutes
According to the cumulative relative frequency graph, the shortest 80% of calls will take at least 5.5 minutes to complete. Therefore, the answer is "at least 5.5 minutes". So, the correct answer is D).
Cumulative relative frequency graphs display the accumulation of the relative frequencies of a dataset as the values increase. In this problem, the cumulative relative frequency graph represents the distribution of the lengths of business phone calls made by a company's sales staff.
The graph shows that approximately 20% of calls take longer than the maximum value on the x-axis, and the shortest 80% of calls take at least 5.5 minutes to complete. This information can be used by the company to set performance goals for its sales staff and to allocate resources to improve customer service efficiency. The correct option is D).
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1/6 x = 12
HELP PLEASE
Answer:
x=72
Step-by-step explanation:
A prism is a three dimentional shape with the same ________ all the way through
Can anybody fill in the blank?
A prism is a three-dimensional shape with the same cross-section all the way through.
What is prism?A prism is a solid shape that is bound on all its sides by plane faces.
A prism is a type of three-dimensional (3D) shape with flat sides. It has two ends that are the same shape and size (and look like a 2D shape).It has the same cross-section all along the shape from end to end; that means if you cut through it you would see the same 2D shape as on either end.
Hence, a prism is a three-dimensional shape with the same cross-section all the way through.
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geometric sequence
4,20,100,500
Answer:
what is the question asking?
The vertices of quadrilateral DEFG are D(-2, 6), E(-4, 6), F(-6, 9), and G(-1,9). Find the coordinates of the image of quadrilateral DEFG after a translation using the rule (x,y) - (x + 1. y - 6), a reflection over the x-axis, and a reflection over the y-axis.
We have the following quatrilateral DEFG:
We will do various transformations to it.
1. Traslation (x+1,y-6)For doing this traslation, we will apply the formula to each one of the endpoints of the quadrilateral. For the sake of this exercise, we will call the traslation T.
\(\begin{gathered} D^{\prime}=T(D)=T(-2,6) \\ =(-2+1,6-6) \\ =(-1,0) \end{gathered}\)Where we obtained the coordinates values by replacing the x-coordinate of the point A by the value x of the traslation, and doing the same process for the y-coordinate. We obtain also,
\(\begin{gathered} E^{\prime}=T(E)=T(-4,6) \\ =(-4+1,6-6) \\ =(-3,0) \end{gathered}\)For F,
\(\begin{gathered} F^{\prime}=T(F)=T(-6,9) \\ =(-6+1,9-6) \\ =(-5,3) \end{gathered}\)For G, following the same process we obtain that G'=T(G)=(0,3). This gives us the quadrilateral:
2. Reflection over the x-axisFor doing a reflection over the x-axis, we will follow the rule:
\(R_x\lbrack x,y\rbrack=(x,-y)\)In this case, we will apply the rule to every endpoint of the quadrilateral.
\(\begin{gathered} D^{\prime}=R_x\lbrack D\rbrack=R_x(-2,6)=(-2,-6) \\ E^{\prime}=R_x\lbrack E\rbrack=R_x(-4,6)=(-4,-6) \\ F^{\prime}=R_x\lbrack F\rbrack=R_x(-6,9)=(-6,-9) \\ G^{\prime}=R_x\lbrack G\rbrack=R_x(-1,9)=(-1,-9) \end{gathered}\)3. Reflection over the y-axisFor doing a reflection over the y-axis, we will follow the rule:
\(R_y\lbrack(x,y)\rbrack=(-x,y)\)And we apply the rule to every endpoint of the quadrilateral.
\(\begin{gathered} D^{\prime}=R_y\lbrack D\rbrack=R_y(-2,6)=(2,6) \\ E^{\prime}=R_y\lbrack E\rbrack=R_y(-4,6)=(4,6) \\ F^{\prime}=R_y\lbrack F\rbrack=R_y(-6,9)=(6,9) \\ G^{\prime}=R_y\lbrack G\rbrack=R_y(-1,9)=(1,9) \end{gathered}\)We obtain the quadrilaterals:
Please help me solve this question !
Answer:
1. 3/8 2. 3/8 3. 3-/8 4. 3/8 or 0. 375
Step-by-step explanation:
question 29(multiple choice worth 1 points) (01.07 mc) multiply (2.4 ⋅ 1014) ⋅ (4 ⋅ 107). express the answer in scientific notation. 9.6 ⋅ 1021 9.6 ⋅ 1022 96 ⋅ 1021 96 ⋅ 1022
The multiplication of \((2.4 \times {10}^{14} ) \times (4 \times {10}^{7} )\)in scientific notation is \(9.6 \times {10}^{21} \)
How to find the answer in scientific notation?Multiply the decimal numbers to multiply the integers in scientific notation. Add the 10 power exponents after that. In scientific notation, place the new power of 10 with the decimal.
given that \((2.4 \times {10}^{14} ) \times (4 \times {10}^{7} )\)
Now, find the answer in scientific notation
\((2.4 \times {10}^{14} ) \times (4 \times {10}^{7} )\)
combine the all the like terms
\((2.4 \times 4)( {10}^{14} \times {10}^{7} )\)
According to the exponent same base rule, an exponent will be added if the bases of two exponents are the same.
\((9.6) \times ( {10}^{14 + 7)} ) \\ 9.6 \times {10}^{21} \)
Hence,the multiplication of\((2.4 \times {10}^{14} ) \times (4 \times {10}^{7} )\) in scientific notation is \(9.6 \times {10}^{21} \)
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Practice 7:
Tim is standing 10 m away from a tree.
The distance of his eyes from his feet is 1.8 m.
Given that the distance from his eyes to the top of the tree is 14 m, find the height of the tree.
Answer:
about 11.598 meters
Step-by-step explanation:
For this situation, we will primarily rely on the Pythagorean theorem.
We can draw a (straight) 10-meter line between Tim and the tree in order to further understand the problem. Since Tim and the tree are both standing straight, a perceived line will be parallel to the ground. Another line can be drawn between Tim's eyes and the top of the tree. Please view the attached image for reference. Using the Pythagorean theorem (\(a^{2} +b^{2}=c^{2}\)), we can substitute 10 for a and 14 for c ---> giving us \(a^{2} +10^{2}=14^{2}\) or \(a^{2} =14^{2}-10^{2}\). We then subtract--->\(a^{2} =96\) and square root both sides to get a, which is equal to about 9.798 meters. However, this is only the height from Tim's eye level; therefore, to it, we must add 1.8 meters.
Our final solution is: about 11.598 meters.
-14+u=50 I need help
Can someone explain the process of getting to Angle A? I know the answer is 44.1 but I need to show my work so can someone show me the process of getting the answer and please explain! Thank you!!
Answer:
Step-by-step explanation:
First you have to calculate CB in order to use sin law to calculate ∠A
CB=\(\sqrt{18.4^{2} -13.2^{2} }\)
CB=12.8(correct to nearest tenth)
After that, use sin law to calculate ∠A,
\(\frac{18.4}{sin90} =\frac{12.8}{sinA}\) or \(\frac{sin90}{18.4} =\frac{sinA}{12.8}\)
sinA=0.695...
A=44.079...
=44.1(corrext to the nearest tenth)
Is that clear enough for you?
suppose f ( x ) = 5 x 2 − 1091 x − 70 . what monomial expression best estimates f ( x ) for very large values of x ?
The highest degree term in the polynomial 5x^2 - 1091x - 70 is 5x^2. As x becomes very large, the other two terms become negligible compared to 5x^2.
To determine the monomial expression that best estimates f(x) for very large values of x, we need to consider the dominant term in the function f(x) = 5x^2 - 1091x - 70.
As x approaches infinity, the highest power term in the function, in this case, 5x^2, becomes the dominant term.
This is because the exponential growth of x^2 will surpass the linear growth of the other terms (1091x and 70) as x becomes increasingly large.
Hence, for very large values of x, we can approximate f(x) by considering only the dominant term, 5x^2. Neglecting the other terms provides a good estimation of the overall behavior of the function.
Therefore, the monomial expression that best estimates f(x) for very large values of x is simply 5x^2. This term captures the exponential growth that dominates the function as x increases without bound.
It is important to note that this estimation becomes more accurate as x gets larger, and other terms become relatively insignificant compared to the dominant term.
Therefore, the monomial expression that best estimates f(x) for very large values of x is 5x^2.
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Joans father is 38 years old today how many days old is he?
cross-tabulation with two variables is known as twice-tabulation. True or false?
The statement cross-tabulation with two variables is known as twice-tabulation is false because there is no such term as "twice-tabulation" in the context of statistical analysis.
Cross-tabulation, also known as contingency table analysis, involves the analysis of categorical variables by creating a table that shows the frequency or distribution of one variable based on the levels of another variable.
It allows for the examination of the relationship between two variables, highlighting any associations or patterns that may exist. Each cell in the cross-tabulation table represents the count or proportion of observations that fall into specific combinations of categories from the two variables.
The term "twice-tabulation" does not exist in statistical literature and is not commonly used to refer to cross-tabulation with two variables. The correct term to describe this statistical technique is simply cross-tabulation or contingency table analysis.
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Greta cut 2 shelves of equal length using 1/2 of a yard of wood. How long was each shelf?