Triangle- m ∠ 2 m ∠ 3 m ∠ 5 = 180 °( by the Triangle Sum Theorem)
The statements are true. still, grounded on the given options, three statements that are always true regarding any triangle are . The sum of the angles of a triangle is always equal to 180 degrees.
This statement is true because the total degrees of any triangle is 180 degrees.
This is known as the Triangle Sum Theorem.
2. The surface angle of a triangle is equal to the sum of its interior contrary angles. This statement is true for any triangle. The surface angle is the angle formed by extending one side of the triangle. The contrary innards angles are the two angles inside the triangle that don't partake a vertex with the surface angle.
3. The measure of each angle of an equilateral triangle is 60 degrees. This statement is true for any equilateral triangle. An equilateral triangle has three equal sides and three equal angles, each measuring 60 degrees. thus, grounded on the given options,
the three statements that are always true regarding the illustration could be
- m ∠ 3 m ∠ 4 m ∠ 5 = 180 °( by the Triangle Sum Theorem)
- m ∠ 5 m ∠ 6 = 180 °( by the sum of the angles of a straight line)
- m ∠ 2 m ∠ 3 m ∠ 5 = 180 °( by the Triangle Sum Theorem)
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It’s fine the value of x
Answer:
x = 7
Step-by-step explanation:
Product of powers rule:
[tex] a^m \times a^n = a^{m + n} [/tex]
When you multiply two powers with the same base, add the exponents.
[tex] 3^5 \times 3^2 = 3^x [/tex]
Apply the rule above to the left side.
[tex] 3^{5 + 2} = 3^x [/tex]
[tex] 3^7 = 3^x [/tex]
[tex] x = 7 [/tex]
the driving distance between San fransico and Chicagois 2132 miles.The driving distance between Chicago and Key West is 1535 miles.What is the total distance in miles driven
Answer:
3667 miles driven
Step-by-step explanation:
2132 + 1535 = 3667
3. A species of orchids have a gene encoding either a dominant pink (P) or recessive white (p) flower color trait. If a heterozygous pink and white flower were crossed, what is the probability that the offspring have white flowers?
The correct probability is indeed 0.25 or 25%.
When heterozygous pink (Pp) and white (pp) flowers are crossed, the Punnett square can be used to determine the probability of offspring having white flowers:
| P p
---------------
P | PP Pp
---------------
p | Pp pp
From the Punnett square, we can see that there are four possible combinations of alleles for the offspring: PP, Pp, Pp, and pp.
Out of these four possibilities, only one combination (pp) corresponds to the white flower trait.
Therefore, the probability of an offspring having white flowers is 1 out of 4.
In terms of probability, this can be expressed as:
Probability of white flowers = Number of favorable outcomes / Total number of possible outcomes.
= 1 / 4
= 0.25
So, the correct probability is indeed 0.25 or 25%.
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Presented below is information related to Bonita Company at December 31, 2025, the end of its first year of operations.
Sales revenue : 335,550
Cost of goods sold : 135,580
Selling and administrative expenses : 54,900
Gain on sale of plant assets: 30,790
Unrealized gain on available-for-sale debt investments: 9,880
Interest expense: 6,050
Loss on discontinued operations: 12,200
Dividends declared and paid: 5,060
Compute the following: (Ignore income tax effects.)
(a)Income from operations
(B)Net income
(c) Comprehensive income
(D)Retained earnings balance at December 31, 2025
a) Bonita Company's income from operations is $145,070.
b) Bonita Company's net income is $163,430.
c) the comprehensive income for Bonita Company is $173,310.
d) Since, we are not given the beginning balance of retained earnings, we cannot calculate the exact retained earnings balance at December 31, 2025.
Given that;
Presented below is information related to Bonita Company at December 31, 2025, the end of its first year of operations.
Sales revenue : 335,550
Cost of goods sold : 135,580
Selling and administrative expenses : 54,900
Gain on sale of plant assets: 30,790
Unrealized gain on available-for-sale debt investments: 9,880
Interest expense: 6,050
Loss on discontinued operations: 12,200
Dividends declared and paid: 5,060
(a) The cost of items sold, selling, and administrative expenses must be subtracted from the revenue from sales in order to determine the income from operations.
Revenue from operations is equal to sales revenue minus the cost of the goods sold plus selling and administrative costs.
Operations profit = $335,550 - $135,580 - $54,900 $145,070
was earned through operations.
As a result, Bonita Company's income from operations is $145,070.
(b) We must add or deduct all gains, losses, and expenses from the income from operations in order to determine the net income.
Net income is calculated as follows:
Income from operations - Loss on ceased operations - Gain on sale of plant assets - Unrealized gain on debt investments that are available for sale Net income equal
$145,070 + $30,790 + $9,880 + $6,050 + $12,200 - $5,060.
$163,430 in profit
As a result, Bonita Company's net income is $163,430.
(c) To determine the comprehensive income, we need to add or subtract all gains, losses, and expenses that are not included in net income. In this case, the only item that needs to be added is the unrealized gain on available-for-sale debt investments.
Comprehensive income = Net income + Unrealized gain on available-for-sale debt investments Comprehensive income
= $163,430 + $9,880
Comprehensive income = $173,310
Therefore, the comprehensive income for Bonita Company is $173,310.
(d) To calculate the retained earnings balance, we need to start with the beginning balance of retained earnings (which is not given in this problem) and add the net income, then subtract any dividends declared and paid.
Retained earnings balance = Beginning balance of retained earnings + Net income - Dividends declared and paid Retained earnings balance
= Beginning balance of retained earnings + $163,430 - $5,060
Retained earnings balance = Beginning balance of retained earnings + $158,370
Since, we are not given the beginning balance of retained earnings, we cannot calculate the exact retained earnings balance at December 31, 2025.
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f(x) = x² - 4 and g(x)= x^2 + 1 are sketched 10.1.2 Determine the length of DB .
x⁴ - 8x² + 17 is the function that represents the fog(x).
To find fog(x), we first need to find g(f(x)), which means we need to substitute the expression for f(x) into the expression for g(x):
g(f(x)) = g(x² - 4)
Now, we can substitute the expression for g(x) into the above expression:
g(f(x)) = (x² - 4)² + 1
Expanding the squared term, we get:
g(f(x)) = x⁴ - 8x² + 17
Therefore, fog(x) = g(f(x)) = x⁴ - 8x² + 17.
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Complete question:
f(x) = x² - 4 and g(x)= x^2 + 1 find fog(x).
Describe the translation of figure ABCD. Complete the sentence to explain your answer. A coordinate plane showing figure A B C D and A prime B prime C prime D prime. The coordinates of the first figure are A 2 comma 3, B 1 comma 2, C 2 comma 1, and D 3 comma 2. The coordinates of the second figure are A prime 5 comma 4, B prime 4 comma 3, C prime 5 comma 2, and D prime 6 comma 3. Figure ABCD is translated unit(s) right and unit(s) up.
Figure ABCD is translated 3 units right and 1 unit up.
What is a translation?In Mathematics, the translation a geometric figure or graph to the right simply means adding a digit to the value on the x-coordinate of the pre-image while the translation a geometric figure or graph upward simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image.
Based on the information provided, we have the follwoing:
(x, y) → (x + h, y + k)
A (2, 3) → A' (5, 4).
5 = 2 + h
h = 5 - 2
h = 3 (3 units right).
4 = 3 + k
k = 4 - 3
k = -3 (1 unit up).
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Complete Question:
Describe the translation of figure ABCD. Complete the sentence to explain your answer.
Figure ABCD is translated unit(s) right and unit(s) up.
Find the 92nd term of the arithmetic sequence -29, -22, -15, ...
[tex]-29~~,~~\stackrel{-29+7}{-22}~~,~~\stackrel{-22+7}{-15}~~,~~...\hspace{5em}\stackrel{\textit{common difference}}{d=+7} \\\\[-0.35em] ~\dotfill\\\\ n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{term position}\\ a_1=\textit{first term}\\ d=\textit{common difference}\\[-0.5em] \hrulefill\\ a_1=-29\\ n=92\\ d=7 \end{cases} \\\\\\ a_{92}=-29+(92-1)7\implies a_{92}=-29+637\implies \boxed{a_{92}=608}[/tex]
If you extend 1.16 metres of string by another 25 centimetres, how long will your new string be Give your answer in both cm and m.
Answer:
centimeters: 141
meters: 1.41
Step-by-step explanation:
1.16 m to cm is 116
116+25 = 141
25 cm to meters is 0.25
1.16+0.25 = 1.41
Which measure of the ages has the greatest value?
A- mean
B- median
C- mode
D- range
Similar or not similar
SSS or AAA or SAS
Ambree help me please
Answer:
The mean distance to his friends' house is between 2 -3 blocks.
Step-by-step explanation:
1. Mean = Average.
Average = (n1+n2+n3....nx)/x
2. The average = 1+2+5+3+2+2+5+3/8
3. Therefore, the answer is 2.875, making the mean between 2 and 3
Answer:
The statement that supports the data is the mean distance to his friends' houses is in between 2 and 3 blocks.
Step-by-step explanation:
What is mean, median and mode?
Mean: The average of the given data points.
Median: The central point of the whole data set.
Mode: The number that occurs for the maximum times in the data set.
Given:
Karl records the number of city blocks from his house to each of his friends houses.
Data set for the number of city blocks to eight friends houses:
{1, 2, 5, 3, 2, 2, 5, 3}
The first option: it is given that the maximum number of blocks the Karl lives from his friend is 4, but according to the data set, the maximum number of house blocks should be 5.
Hence, this option is incorrect.
The second option: It is given that the mode shows that Karl has 3 friends who live 3 blocks from him, but according to the given data set Karl has 3 friends who lives 2 blocks from him. Hence the mode is 2.
Hence, this option is incorrect.
The third option: It is given that the minimum distance from Karl's house to a friend's is 2 blocks, but according to the given data set the minimum distance from Karl's house to a friend's is 1 block.
Hence, this option is incorrect.
The fourth option: It is given that the mean distance to his friend's houses is in between 2 and 3 blocks.
We will find the mean for the given data set.
⇒ Mean = (Sum of all the data points) / (Total number of data points)
⇒ Mean = (1 + 2 + 5 + 3 + 2 + 2 + 5 + 3)/8
⇒ Mean = 23/8
⇒ Mean = 2.875
∴ The mean distance from Karl to his friend's houses is 2.875 which is in between 2 and 3.
Hence, this option is correct.
Therefore, the fourth option which says the mean distance between Karl and his friend's houses is in between 2 and 3 is correct.
need answer and explanation for this
The surface area of a figure is obtained as the sum of the areas of all the parts that compose a figure.
The figure for this problem is composed as follows:
Two sections with area 24 ft².Two rectangular sections area of 8 ft².Two sections with area of A.Considering the total surface area of 160 ft², the area of each missing face is given as follows:
2 x (24 + 8 + A) = 160
64 + 2A = 160
2A = 96
A = 48 ft².
Considering a rectangle with dimensions 12 ft and x, with area of 48 ft², the length of the missing edge is given as follows:
12x = 48
x = 4 ft.
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1. What will be the place
value of the number in
thousand's place for the
number that is obtained
by adding 60 tens, 58
hundreds and 685 ones?
Identify the number is
even or odd.
2.What is the difference
between the
Predecessor and
successor of a number?
Illustrate with an
example.
The entire number is odd.
For any number n, the predecessor is n - 1 and the successor is n + 1.
We have,
To find the place value of the number in the thousand's place for the number obtained by adding 60 tens, 58 hundreds, and 685 ones, we can start by realizing that 60 tens are the same as 600, and 58 hundreds are the same as 5800.
Therefore, we have:
600 + 5800 + 685 = 7085
So the number is 7085.
The digit in the thousand's place is 0 since there is no digit in the thousand's place.
Therefore, the place value of the number in the thousand's place is 0.
To determine if the number is even or odd, we can look at the unit digit, which is 5.
Since 5 is an odd number,
The entire number is odd.
2.
The predecessor of a number is the number that comes before it, and the successor of a number is the number that comes after it.
To find the predecessor of a number, we subtract 1 from the number, and to find the successor, we add 1 to the number.
For example,
Let's say we want to find the predecessor and successor of the number 7.
The predecessor of 7 is 6, since 7 - 1 = 6.
The successor of 7 is 8, since 7 + 1 = 8.
In general,
For any number n, the predecessor is n - 1 and the successor is n + 1.
Thus,
The entire number is odd.
For any number n, the predecessor is n - 1 and the successor is n + 1.
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The probability that Jess wins a Chess game is 0.4. What is the probability that Jess will win only the third game if she played Chess thrice? Round your answer to three decimal places.
The probability that Jess will win only the third game out of three games is 0.144, or 14.4%
To calculate the probability that Jess will win only the third game out of three games, we will use the concept of independent events. In this scenario, we have the following events:
1. Jess loses the first game.
2. Jess loses the second game.
3. Jess wins the third game.
Since the events are independent, we can calculate the probability of this specific sequence occurring by multiplying the probabilities of each individual event:
1. Probability of losing the first game: 1 - 0.4 = 0.6
2. Probability of losing the second game: 1 - 0.4 = 0.6
3. Probability of winning the third game: 0.4
Now, we multiply these probabilities together:
0.6 * 0.6 * 0.4 = 0.144
So, the probability that Jess will win only the third game out of three games is approximately 0.144, or 14.4% when rounded to three decimal places.
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A bead is selected at random from a bowl. The probability of selecting a bead with two holes is 0.5. The probability of selecting a bead that is both red and has two holes is 0.2. What is the probability of selecting a red bead given the bead has two holes? Enter your answer as a decimal in the box.
Answer:
0.4
Step-by-step explanation:
Let A be the event of selecting a bead with two holes and B be the event of selecting a red bead. We are given P(A) = 0.5 and P(A and B) = 0.2. We need to find P(B|A), the probability of selecting a red bead given the bead has two holes.
By definition of conditional probability, we have:
P(B|A) = P(A and B) / P(A)
Substituting the given values, we get:
P(B|A) = 0.2 / 0.5
Simplifying, we get:
P(B|A) = 0.4
Therefore, the probability of selecting a red bead given the bead has two holes is 0.4.
Answer: 0.2.
Step-by-step explanation:
A sample of size =n78 is drawn from a normal population whose standard deviation is =σ5.1. The sample mean is =x47.95.
The 95% confidence interval for the population mean is (47.00, 48.90).
A sample of size n=78 is drawn from a normal population with a standard deviation of σ=5.1. The sample mean is x=47.95.
Using this information, we can estimate the population mean using the formula:
μ = x ± z*(σ/√n)
where μ is the population mean, x is the sample mean, z is the z-score for the desired level of confidence (e.g., 1.96 for a 95% confidence interval), σ is the population standard deviation, and n is the sample size.
Assuming a 95% confidence level, the z-score is 1.96. Plugging in the given values, we get:
μ = 47.95 ± 1.96*(5.1/√78)
Solving for the upper and lower bounds of the confidence interval, we get:
μ = 47.95 ± 0.95
So the 95% confidence interval for the population mean is (47.00, 48.90). This means that if we were to repeat this sampling process many times, we would expect the true population mean to fall within this interval 95% of the time.
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Select the correct answer from the drop-down menu. The lengths of three line segments are 4 centimeters, 5 centimeters, and 9 centimeters. Using this information, 00 01 02 Oinfinitely many triangles can be constructed.
No triangles can be constructed with the given side lengths.
As, The triangle inequality is a mathematical theorem that states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
In other words, for a triangle with sides a, b, and c, where c is the longest side, the following inequality holds true:
a + b > c
Here, sides of triangle are 4cm, 5 cm and 9 cm.
So, 4 + 5 = 9
Thus, No triangles can be constructed with the given side lengths.
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Evaluate the integral
guys pls help thank you sm
Answer:
[tex]\textsf{A.}\quad\dfrac{1}{3} \ln \left|\sec(3x+1)+\tan(3x+1)\right|+\text{C}[/tex]
Step-by-step explanation:
Fundamental Theorem of Calculus[tex]\displaystyle \int \text{f}(x)\:\text{d}x=\text{F}(x)+\text{C} \iff \text{f}(x)=\dfrac{\text{d}}{\text{d}x}(\text{F}(x))[/tex]
If differentiating takes you from one function to another, then integrating the second function will take you back to the first with a constant of integration.
Given integral:
[tex]\displaystyle \int \sec(3x+1)\; \text{d}x[/tex]
To evaluate the given integral, use the method of integration by substitution.
Let u = 3x + 1.
Find du/dx and rewrite it so that dx is on its own:
[tex]\dfrac{\text{d}u}{\text{d}x}=3 \implies \text{d}x=\dfrac{1}{3}\;\text{d}u[/tex]
Rewrite the original integral in terms of u and du and integrate:
[tex]\begin{aligned}\displaystyle \int \sec(3x+1)\; \text{d}x&=\int \dfrac{1}{3} \sec(u)\; \text{d}u\\\\&= \dfrac{1}{3}\int \sec(u)\; \text{d}u\\\\&= \dfrac{1}{3} \ln \left|\sec(u)+\tan(u)\right|+\text{C}\end{aligned}[/tex]
Finally, replace u with the original substitution.
[tex]\dfrac{1}{3} \ln \left|\sec(3x+1)+\tan(3x+1)\right|+\text{C}[/tex]
The body temperatures in degrees Fahrenheit of a sample of adults in one small town are: 97.1 98.1 98 97.7 97.4 99.3 96.8 Assume body temperatures of adults are normally distributed. Based on this data, find the 90% confidence interval of the mean body temperature of adults in the town. Enter your answer as an open-interval (i.e., parentheses) accurate to 3 decimal places. Assume the data is from a normally distributed population. 90% C.I. =
The 90% confidence interval for the mean body temperature of adults in the town is approximately (97.299, 98.529).
How to solve for the confidence intervalThe given data points are:
97.1, 98.1, 98, 97.7, 97.4, 99.3, 96.8
Step 1: Calculate the sample mean (µ):
µ = (97.1 + 98.1 + 98 + 97.7 + 97.4 + 99.3 + 96.8) / 7 ≈ 97.914
sample standard deviation (s):
≈ 0.839
Step 3: Calculate the standard error (SE):
SE = s / sqrt(n)
≈ 0.839 / sqrt(7) ≈ 0.317
Step 4: Find the t-value for a 90% confidence interval with 6 degrees of freedom (n - 1 = 7 - 1 = 6).
Using a t-distribution table we find that the t-value is approximately 1.943.
Step 5: Calculate the margin of error (ME):
ME = t-value * SE
≈ 1.943 * 0.317 ≈ 0.615
Step 6: Calculate the confidence interval:
Lower limit = µ - ME ≈ 97.914 - 0.615 ≈ 97.299
Upper limit = µ + ME ≈ 97.914 + 0.615 ≈ 98.529
So, the 90% confidence interval for the mean body temperature of adults in the town is approximately (97.299, 98.529).
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Can you Please calculate this:
Answer:
x=335/336
Step-by-step explanation:
First of all, we open the parentheses. 17x+14 1/2-2 3/7+7x=36. Then, we subtract the mixed fractions. 14 1/2-2 3/7=12 1/14. Then, we add the x's. 17x+7x=24x. What we get is 12 1/14+24x=36. We have to subtract 12 1/14 on both sides. 24x=23 13/14. To find x, we do 23 13/14 divided by 24=335/336. x=335/336
The U.S. Bureau of Labor Statistics is a government agency that collects information about jobs in the U.S. In 2014, the Bureau reported that police officers had a median yearly salary of $52,936.
Calculate the average hourly wage for police officers. Round to the nearest cent. Assume that police officers generally work 40 hours a week. There are 52 weeks in the year.
Answer = $ per hour
Answer:25.45
Step-by-step explanation:
52936/1 year x 1 year/52 weeks x 1 week/40hours
Intermediate Algebra Final Project
You decided to purchase a car. Below is the scenario you have been assigned. Based on this
scenario, create an input/output table and graph with both scenario options. Identify the car
you are purchasing, then complete the table then write make, model, year, and purchase
price.
Purchase price of the vehicle you wish to purchase:
Scenario 2
Because you have worked extremely hard paying your bills on time and keeping your debt
low, you have been approved for a 1.99% interest rate for a 72 month loan (6 years). You have
been given the option to take a 48 month loan (four years).
Input
(X-Value)
Year 1
Year 2
Year 3
Year 3
Year 4
Year 5
Year 6
Option 1
Output (Y-Value)
Remaining Balance
Input
(X-Value)
Year 1
Year 2
Year 3
Year 3
Year 4
Year 5
Year 6
Name:
Option 2
Output (Y-Value)
Remaining Balance
What will the final amount for each option in the scenario cost you?
Option 1:
Option 2:
What will this make your monthly payment?
Option 1:
Option 2:
What option would you decide to take and why?
The total purchase is $18.90.
We have,
A discount would reduce the cost of the purchase. A tax increases the cost of the purchase.
The first step is to determine the total cost of the items purchased.
Total cost = (cost of lb of cheese x lb bought) + (cost of sliced ham x lbs bought) + (cost of bread x loaves bought) + (cost of a bag of potato chips x number of bags bought) + (cost of one salsa container x number of containers bought)
(1.99 x 1/2) + (3 x 3.29) + (1.59 x 2) + (2 x $3) + (1.39 x 1) = $20.39
Since, the total cost is greater than $20 she qualifies for the 10% discount
Total cost after the discount = (1 - 0.1) x $20.39
0.9 x $20.39= $18.35
Cost after the tax = (1 + 0.03) x $18.35
1.03 x $18.35 = $18.90
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complete question:
You have several purchases you need to purchase 1/2 lb of cheese, 3lbs sliced ham, 2 loaves of bread, 4 bags of potato chips, and 1 container of salsa. You have a coupon for $4.00 off of your purchase totals more than $15.00 or %10 off if the total is more than $20.00. The food sales tax is 3%. What is your total purchase?
Cheese:$1.99/lb
Sliced ham:$3.29/lb
Bread:$1.59/loaf
Potato chips:$1.99/ea Or 2 for $3.00
Salsa:$1.39/container
Be sure to include in your response.
The steps you followed to complete your computations.
The choice you made regarding which discount to use.
The total cost of your purchase.
I don’t understand this one here I need help
The inverse function of f(x) is given as follows:
[tex]f^{-1}(x) = \sqrt{x}[/tex]
How to obtain the inverse function?The function f(x) graphed in this problem is given as follows:
f(x) = x².
Using the notation y = f(x), we have that:
y = x².
To obtain the inverse, first we exchange y and x, hence:
x = y².
Finally, we must isolate the variable y, hence:
[tex]y = \pm \sqrt{x}[/tex]
[tex]y = \sqrt{x}[/tex] -> we take only the positive and the domain is the non-negative numbers.
Hence the inverse function is:
[tex]f^{-1}(x) = \sqrt{x}[/tex]
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Answer the blue squares
Line segment PT ≅ line segment PT by the reflexive property.
ΔPRT ≅ ΔTVP by the SSS triangle congruence theorem
What is the SSS Congruence Theorem?The SSS congruence theorem (side-side-side congruence theorem) states that if all three sides of one triangle are congruent to the corresponding three sides of another triangle, then both are considered congruent triangles.
According to the reflexive property, a line or angle is equal to itself, therefore, Line segment PT ≅ line segment PT by the reflexive property.
This also implies that both triangles have three pairs of corresponding sides that congruent, therefore, ΔPRT ≅ ΔTVP.
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Ian gets $9.00 for each hour he works. He also gets $10.00 for each day he works. He made the equation y=9x+10x where x is the number of hours he works.
Explain why his equation will not tell him how much he makes in a day.
Consider the figure. Find the area of the composite figure. Enter the correct answer in the box.
Check the picture below.
[tex]\stackrel{ \textit{\LARGE Areas} }{\stackrel{ \textit{blue triangle} }{\cfrac{1}{2}(1)(2)}~~ + ~~\stackrel{ \textit{orange triangle} }{\cfrac{1}{2}(2)(1)}~~ + ~~\stackrel{ \textit{yellow rectangle} }{(2)(3)}~~ + ~~\stackrel{ \textit{purple triangle} }{\cfrac{1}{2}(3)(2)}} \\\\\\ 1+1+6+3\implies \text{\LARGE 11}[/tex]
Sketch the graph of each of the following by using x- and y-intercepts: f(x) = 7+ 2x b f(x) = 3x - 5 3x - y = 4
Answer:
b) Answers may vary, e.g., I would determine the x- and y-intercepts because I think it's easier. Lesson 1.1, page 12. 1. a) on the graph because if b) not on ...64 pages
Step-by-step explanation:
Determine the x and y intercept for each of the equations. Write your answer as a coordinate pair. If it does not have an intercept, explain your reasoning.
Fill out the last question on the chart for 50 points!
The expression, in the end, is 10 x 3 = 30
i.e
Length = 10
Width = 3
The number of tiles = 10 x 3 = 30
We have,
We see that,
The number of tiles:
18, 24, 30,
This is an arithmetic sequence.
So,
The next term:
= 30 + 6
= 36
Now,
The length is a sequence in ascending order of the factor of the arithmetic sequence.
So,
30 is a factor of 2, 3, 5, 6, and 10.
This means,
The expression, in the end, is 10 x 3 = 30
So,
Length = 10
Width = 3
The number of tiles = 10 x 3 = 30
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What is the measure of ZL?
Enter your answer in the box. Round only your final answer to
the nearest hundredth.
m/L=
18 in.
М'
60 in.
N
Angle L's in the triangle LMN is,
⇒ L = 72.54°
We have to given that;
A triangle LMN is shown in figure.
And, The sides are,
Since, We know that;
A triangle is a three-sided polygon with three vertices, three angles that add up to 180 degrees, and three sides.
Since, We know that;
⇒ sin L = Opposite / Hypotenuse
And, cos L = Base / Hypotenuse
Two rays after combined into an angle have a single terminal. And, latter is known as the vertex of the angle, and the rays are known as its sides, occasionally as its legs, and occasionally as its arms.
Now, We can use trigonometry formula to find the value of angle l we get;
⇒ sin L = Opposite / Hypotenuse
⇒ sin L = LM / LN
⇒ sin L = 18/60
Taking arc sin both side, we get;
⇒ L = 72.54°
Therefore, The value of measure of angle L is triangle LMN is,
⇒ L = 72.54°
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A company has $2,500 to send its employees to a conference. The conference costs $50 for each employee who attends. How many employees can the company send to the conference?
Answer:
50 employees can the company send to the conference
Step-by-step explanation:
2500:50= 50
