The side and angles of the right triangle are as follows:
1. 5 units
2. 5 units
3. tan ∅ = 4 / 5
How to find the side angles of a right triangle?The side of a right triangle can be found using Pythagoras's theorem and the angles of a right angle triangle can be found using trigonometric ratios as follows:
c² = a² + b²
where
a and b are the other legsc = hypotenuseTherefore,
1.
c² = 4² + 3²
c = √16 + 9
c = √25
c = 5 units
2.
a² = 13² - 12²
a = √169 - 144
a = √25
a = 5 units
3.
tan ∅ = opposite / adjacent
tan ∅ = 4 / 5
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Please help me on this. you will get 100 points!!!!!!!!!!!!!!!!!!!!!!
Circle One:
No
Explain:
The chart shows that teenagers get roughly between 7 - 8 and 1/2 hours of sleep every night. It shows that no teenagers get 9 and 9 and 1/2 hours of sleep. This is why their data does not support the delay to starting time.
From the given functions from Z x Z to Z, identify the onto functions. (Check all that apply.) Check All That Apply
a. f(m, n) = 2m-n b. f(m, n) = m 2-n2 c. f(m, n) m + n+1 d f(m, n) = |m|-|n|
The onto functions (surjective functions) are:
c. f(m, n) = m + n + 1.
At first we have to identify onto (surjective) functions from Z x Z to Z, we need to check if each element in the codomain (Z) has at least one preimage in the domain (Z x Z).
a. f(m, n) = 2m - n
This function is not onto because for odd numbers in the codomain (Z), there is no pair of integers (m, n) in the domain that will map to them.
b. \(f(m, n) = m^2 - n^2\)
This function is not onto because for negative numbers in the codomain (Z), there is no pair of integers (m, n) in the domain that will map to them.
c. f(m, n) = m + n + 1
This function is onto. For any integer 'z' in the codomain (Z), we can find a pair of integers (m, n) in the domain such that m + n + 1 = z.
For example, if z = 0, we can choose m = 0 and n = -1, and then m + n + 1 = 0.
d. f(m, n) = |m| - |n|
This function is not onto because negative numbers in the codomain (Z) cannot be obtained from the domain (Z x Z).
For example, there is no pair of integers (m, n) in the domain that maps to -1.
Hence, The onto functions (surjective functions) are:
c. f(m, n) = m + n + 1.
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When a piece of metal is subject to below zero temperatures, shrinking will normally take place. If the diameter of a steel rod shrinks from 0.02 meters to 0.015 meters, what is the percentage decrease in the diameter?
1.333...percent
Hope it helps
Select the sketch of the right rectangular prism with height of 2cm and bases that are 5 cm by 3 cm.
Answer: See image
Step-by-step explanation:
The bases are 5cm times 3cm, meaning that 2 parallel sides have to be 5cm by 3cm, 2 other parallel sides have to 2cm by 3cm, and the 2 other parallel sides have to be 5cm by 2cm.
Explain the difference:
4 times the sum of x and y and the sum of 4 x and y
Hello!
4 times the sum of x and y
4 * (x + y)
it's a mutliplication
the sum of 4x and y
= 4x + y
it's a sum
Answer:one is multiplying other is some.
Step-by-step explanation:
4xy and =4xy
these two are
_______ angles are used to relate the values returned by inverse trigonometric functions to angles larger than 90°.
A. Obtuse
B. Acute
C. Right
D. Complementary
Answer:
Acute
Step-by-step explanation:
Obtuse angles are angles that are larger than 90 but less than 180
Acute angles are angles that are less than 90 degrees
Right angles are angles that is exactly 90 degrees
Complementary angles are two angles whose sum is 90 degrees
Using this info, it seems the answer to this question is B. Acute because it says "the values returned by inverse to angles larger than 90" and since acute is the opposite of obtuse imma say B but im not too sure
Giving a test to a group of students, the grades and gender are summarized below A B C Total Male 5 4 2 11 Female 15 12 20 47 Total 20 16 22 58 If one student is chosen at random, Find the probability that the student was male OR got a(n) "A". (Please enter a reduced fraction.)
The probability that the student chosen at random was male OR got an "A" is 31/58.
How to solve for the probabilityTo find the probability that the student was male OR got an "A," we need to calculate the probability of each event separately and then add them together.
Let's calculate the probability of the student being male:
Total number of males = 11
Total number of students = 58
Probability of the student being male = Number of males / Total number of students = 11/58
Now, let's calculate the probability of the student getting an "A":
Total number of students who got an "A" = 20
Probability of the student getting an "A" = Number of students who got an "A" / Total number of students = 20/58
To find the probability of the student being male OR getting an "A," we add the two probabilities together:
Probability (Male OR A) = Probability (Male) + Probability (A) = 11/58 + 20/58 = 31/58
Therefore, the probability that the student chosen at random was male OR got an "A" is 31/58.
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The annual rate, r, it takes for 1 dollar to grow to X dollars in 2 years is given by the formula X = (1+r) ².
Find the rate necessary for a dollar to triple in 2 years.
The rate of interest is 73%.
What is the annual rate?
The term annual percentage rate of charge refers to the interest rate for an entire year rather than just a monthly fee or rate as applied on a loan, mortgage loan, credit card, etc. It can also be referred to as a nominal APR or an effective APR. It is an annual rate of a finance charge.
Given that 1 dollar to grow to X dollars in 2 years is given by the formula X = (1+r) ².
A dollar to triple in 2 years.
Thus putting X = 3 in X = (1+r) ²
3 = (1+r) ²
Take square root on both sides:
√3 = 1 + r
Subtract 1 from both sides:
r = √3 - 1
r = 0.73
r = 73%
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Which of the following equations has a graph with a y-intercept of -8
Write the point-slope form of an equation of the line through the points (-1, 4) and (-2, 2).
Answer:
Point-slope form: y-4=2(x+1)
Slope intercept form: y=2x+6
I hope this helps!
Answer:
\(y-4=2(x+1)\)
Step-by-step explanation:
Point-slope form is equal to
\(y-y_1=m(x-x_1)\)
where y and y1 are the known y coordinates of two points on the line, and x and x1 are the known x coordinates of two points on the line. All we need now is m, which is the slope:
\(4-2=m(-1-(-2))\)
We can simplify negative one minus negative two as positive 1.
\(4-2=m(1)\)
4 minus 2 is 2, so m times 1 is 2. That means m is 2.
Now, we have the slope, so we can convert to point-slope form using one of the two points. Let's use (-1, 4). We can plug those values in for x1 and y1:
\(y-4=2(x+1)\)
What’s the answer to this problem 3x36-(81/9-8)+16/4=
Answer:
108x - 69
Step-by-step explanation:
Reduce the numbers with greatest common divisor 9 Calculate the productReduce the fraction with 4Subtract the numbersCalculate the sumplx help me i really need tho question to be right thx i will mark you as brainest if it is correct. thx xxox
Answer: 3:1
The fraction is 180/60 in simplified form it is 3:1
240-180= 60 in shop sales
180 is the online
Cariyah placed $2000 into a savings account with 3.5% interest, compounded annually. Write Cariyah's total savings S(t) as a function of time in years, t.
S(t) =
Answer:
450
Step-by-step explanation:
the marked price of an article is Rs.400. if 5% discount added how much should be paid for it
Answer:
380.00
Step-by-step explanation:
The answer is 380 5% of 400 is 20.
400-20= 380
Educators should ensure math instruction is only taught through structured activities rather than through everyday situations and routines.
A- True
B- False
The statement ' educators should ensure math instruction is only taught through structured activities rather than through everyday situations and routines is True. Option A
Ways to improve mathematics education
They include;
Using hands-on learning methodsUsing visualsIntegration of mathematics gameConnecting math concepts to everyday lifeAllow students to explain their reasoningRewarding students progressThus, the statement ' educators should ensure math instruction is only taught through structured activities rather than through everyday situations and routines is True. Option A
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Answer:
Step-by-step explanation:
false
nine balls marked1 to 9 are placed in a box. if you pick one ball at random. what is the probability that an 8 is taken out
Answer:
P(8) = 1/9
Step-by-step explanation:
There are 9 balls, 1,2,3,4,5,6,7,8,9
We want to get ball 8
P(8) = number of balls marked 8/ total number of balls
= 1/9
Answer:
P = 1/9
Step-by-step explanation:
In this scenario, there are a total of nine balls in the box, numbered from 1 to 9 (1,2,3,4,5,6,7,8,9). We are interested in finding the probability of selecting the ball marked with the number 8.The probability of an event occurring is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.In this case, the number of favorable outcomes is 1 because there is only one ball marked with the number 8.The total number of possible outcomes is 9 since there are nine balls in total.Probability of selecting the ball marked with 8
\(\sf Probability = \dfrac{Number\: of \:favorable\: outcomes }{ Total \:number\: of\: possible\: outcomes}\\\\\sf Probability = \dfrac{1 }{9}\)
Can someone help find the surface area, then round the answer to the nearest whole number please?
The Surface Area of cylinders are: 100 yd² , 264 m², 226 mm²
The Surface Area of Can is 219 cm².
We know the formula for Surface Area of Cylinder
= 2πrh
1. Radius = 2 yd
Height = 8 yd
So, Surface Area of Cylinder
= 2πrh
= 2 x 3.14 x 2 x 8
= 100 yd²
2. Radius = 7 m
Height = 6 m
So, Surface Area of Cylinder
= 2πrh
= 2 x 3.14 x 6 x 7
= 264 m²
3. Radius = 3 mm
Height = 12 mm
So, Surface Area of Cylinder
= 2πrh
= 2 x 3.14 x 3 x 12
= 226 mm²
4. Radius = 3.5 cm
Height = 10 cm
So, Surface Area of Can
= 2πrh
= 2 x 3.14 x 3.5 x 10
= 219 cm²
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lamonte car used 5 gallons to travel 125 miles.how many gallons of gas would he need to travel 400 miles
Answer:
Step-by-step explanation:
1. Get mileage per gallon by dividing miles traveled by gallons used
\(\frac{125}{5} = 25 mpg\\\)
2. Divide miles you want to travel by the mileage per gallon you got on the first step
\(\frac{400}{25} = 16 gallons\)
For which of the following displays of data is it not possible to find the mean histogram frequency, table, stem, and leaf plot doc plot
The mean from a Histogram, table, and dot plot, it is not possible to determine the mean directly from a stem-and-leaf plot.
Out of the given options, the display of data for which it is not possible to find the mean is the stem-and-leaf plot.
A histogram displays data in the form of bars, where the height of each bar represents the frequency of data within a specific range. From a histogram, it is possible to calculate the mean by summing up the products of each value with its corresponding frequency and dividing it by the total number of data points.
A table presents data in a structured format, typically with rows and columns, allowing for easy calculation of the mean. By adding up all the values and dividing by the total number of values, the mean can be obtained from a table.
A stem-and-leaf plot organizes data by splitting each value into a stem (the first digit or digits) and a leaf (the last digit). While a stem-and-leaf plot provides a visual representation of the data, it does not directly provide the frequency or count of each value. Hence, it is not possible to determine the mean directly from a stem-and-leaf plot without additional information.
A dot plot represents data using dots along a number line, with each dot representing an occurrence of a value. Similar to a histogram and table, a dot plot allows for the calculation of the mean by summing up the values and dividing by the total number of data points.
In summary, while it is possible to find the mean from a histogram, table, and dot plot, it is not possible to determine the mean directly from a stem-and-leaf plot.
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The large of 2 numbers is 1 less than 3 times the smaller if 3 times the larger is 5 more than 8 times the smaller
The smaller number is 8 and the larger number is 23.Let's denote the larger number as L and the smaller number as S. We are given two pieces of information:
The larger number is 1 less than 3 times the smaller: L = 3S - 1.
Three times the larger number is 5 more than 8 times the smaller: 3L = 8S + 5.
From the first equation, we can express L in terms of S: L = 3S - 1.
Substituting this value of L into the second equation, we get:
3(3S - 1) = 8S + 5.
Expanding the equation, we have:
9S - 3 = 8S + 5.
Simplifying further, we find:
S = 8.
Now that we know the value of S, we can substitute it back into the first equation to find L:
L = 3(8) - 1 = 23.
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Someone help with this equation
The answer is:
g(x + 1) = 6x + 1
g(4x) = 24x -5
Work/explanation:
To evaluate, I plug in x + 1 into the function:
\(\sf{g(x)=6x-5}\)
\(\sf{g(x+1)=6(x+1)-5}\)
Simplify
\(\sf{g(x+1)=6x+6-5}\)
\(\sf{g(x+1)=6x+1}\)
------------------
Do the same thing with g(4x)
\(\sf{g(4x)=6(4x)-5}\)
\(\sf{g(4x)=24x-5}\)
Hence, these are the answers.
please help!!! if i don’t get this test right then i fail and i really can’t ! i’ll mark brainlyist ! pleasee
anyone
Answer:
208 cubic units
Step-by-step explanation:
The composite figure in the picture is composed of a triangular prism and a rectangular prism, both which can be calculated by the base * height formula.
First, let’s calculate the volume of the triangular prism:
The base is the area of the triangle base, which is dc/2, or 4*3/2, which is 6. Next, multiply the area of the base by the height “b”: 6 * 8 = 48.
Now, let’s calculate the volume of the rectangular prism:
The base is the rectangular base’s area, which is a*c, or 5*4, which is 20. Next multiply the base by the height “b”: 20 * 8 = 160
Now, add up the volumes of the rectangular and triangular prisms:
160 + 48 = 208 cubic units
Whoever answers this question correctly will get a 5.0 rating, thanks, and a brainlyist.
The question is on the screenshot.
RULE 1: Do not answer just for points because that's just mean
Answer:
i know this isnt suppose to be here or any of that but this needs to be stop any where...ok now that i have your attention everyone needs to know this people all over the world are burning bibles LETS STOP THIS because that is so disrepecful that people are doing that to the bible and thats hurting jesus and gods heart LETS STOP THIS BURNING BIBLE STUFF pls copy and paste this and share the word so we can stop this.
Step-by-step explanation:
16 families went on a trip which cost them Rs 2,16,352. How much did each
family pay?
Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522
Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.
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Answer:
Step-by-step explanation
1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.
Now let's check if this result is correct:
1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.
So we have shown that each family paid **Rs 13,522** for the trip
) Find the average gold medal winnings of those NOCs who have been
awarded fewer than ten bronze medals.
Count the number of those NOCs that have been awarded ten or more
silver medals.
This question requires the construction and interpretation of a pie chart based
on the data throughout this task.
a) Create a suitable and fully labelled pie chart to show the total medal
winnings of the Top 10 NOCs at the Beijing 2022 Winter Olympic games.
Interpret the pie chart produced in Question 8a). Discuss two probable
justifications for the behaviour of the data.
a. To create a pie chart to show the total medal winnings of the Top 10 NOCs at the Beijing 2022 Winter Olympic games:
Obtain the data for the medal winnings of the Top 10 NOCs
Find the average gold medal winnings of those NOCs who have beenawarded fewer than ten bronze medals.?Calculate the total medal winnings for each NOC (i.e., the sum of gold, silver, and bronze medals)
Create a pie chart in Excel or any other software by selecting the data and choosing the pie chart option
Add a title and labels to the chart to show the NOCs and their corresponding medal winnings
b. The interpretation of the pie chart produced in Question 8a) depends on the shape and distribution of the chart. Two probable justifications for the behavior of the data are:
Dominance of certain NOCs: The pie chart may show that certain NOCs have a significantly higher share of medal winnings compared to others. This may be due to the dominance of these NOCs in specific sports or events, or due to their superior training and preparation.
Balanced distribution of medals: The pie chart may show a relatively balanced distribution of medal winnings among the Top 10 NOCs. This may indicate a high level of competitiveness and equal opportunities for success among the NOCs.
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help please urgent !!!!! will mark brainliest
Answer:
1. not congruent
2. sss congruent
3.not congruent
5.asa
6.sas
use the unit circle to find sin 240 and cos 240, without using a calculator. then use your calculator to check your answers. notice that your calculator expects you to put parentheses around the 240, which is because sin and cos are functions. except in cases where the parentheses are required for clarity, they are often left out.
Using the unit circle to find sin 240 and cos 240, without using a calculator. The calculated results should match our approximations of -1/2 for sin 240 and -√3/2 for cos 240.
To find sin 240 and cos 240 without a calculator, we can use the unit circle, which is a circle with radius 1 centered at the origin in a two-dimensional coordinate system. The unit circle provides a convenient way to define the sine and cosine of an angle in terms of their coordinates on the circle.
The sine of an angle is the y-coordinate of the point on the unit circle corresponding to that angle, and the cosine of an angle is the x-coordinate of the point on the unit circle corresponding to that angle.
For an angle of 240 degrees, we can find the corresponding point on the unit circle by constructing a line from the origin to the point on the circle.
we can see that the y-coordinate of the point is negative, so sin 240 = -sin (240 - 180) = -sin 60 = -1/2.
The x-coordinate of the point is also negative, so cos 240 = -cos (240 - 180) = -cos 60 = -√3/2.
We can use a calculator to check our answers by entering sin(240) and cos(240) with parentheses around the 240, as requested by the calculator. The calculated results should match our approximations of -1/2 for sin 240 and -√3/2 for cos 240.
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100 Points! Geometry question. Identify the similar triangles. Then find each measure. Photo attached. Please show as much work as possible. Thank you!
The triangles ABC and DBE are similar by the SAS similarity theorem
The measure of the side lengths AC is 16 units
How to identify the similar triangles.From the question, we have the following parameters that can be used in our computation:
The triangles ABC and DBE
These triangles have the following measures
Two similar corresponding sidesTwo equal corresponding anglesThis means that the triangles are similar by the SAS similarity theorem
How to find each measureUsing the SAS similarity theorem, we have the following equation
(x + 1)/12 = (x + 5)/15
Cross multiply the equation
15x + 15 = 12x + 60
So, we have
3x = 45
Divide by 3
x = 15
This means that
x + 1 = 15 + 1 = 16
x + 5 = 15 + 5 = 20
Hence, the measure of the side lengths are 16 and 20 units
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Joshua has a ladder that is 12 ft long. He wants to lean the ladder against a vertical wall so that the top of the ladder is 11.8 ft above the ground. For safety reasons, he wants the angle the ladder makes with the ground to be no greater than 75°. Will the ladder be safe at this height? Show your work and draw a diagram to support your answer. ( If you reshare another students answer from brainly or any other websites you'll be reported) Will Mark Brainliest if answered correctly and draw a diagram). Thank you.
We need theta first (angle
\(\\ \rm\rightarrowtail sin\theta=\dfrac{P}{H}\)
\(\\ \rm\rightarrowtail sin\theta=\dfrac{11.8}{12}\)
\(\\ \rm\rightarrowtail sin\theta=0.9834\)
\(\\ \rm\rightarrowtail \theta=sin^{-1}(0.9834)\)
\(\\ \rm\rightarrowtail \theta=79.54°\)
On rounding it will go till 80°
So it's not safeHow can you use the Distributive Property to find 11 × 5?
Answer:
You cant use the distributive property because it is when the equation is like this: ax(b+c) so if it was 11x(5+0) you would multiply the 5 by 11 by itself and multiply 0 with 11 then you add them and get 55. I hope that helps :)
Step-by-step explanation: