The right-angled triangle have angle B = 40°, side c = 20.9 and b = 13.4 approximately to the nearest tenth.
How to calculate for the missing angles and sides of the right-angled triangleWe shall use the trigonometric ratios of sine and cosine of the angle 50° to get the length of the sides and apply the rule of the sum of interior angles of a triangle to get the angle B.
sin50° = opposite/hypotenuse
sin50° = 16/c
c = 16/(sin50°) {by cross multiplication}
c = 20.9
cos50° = adjacent/hypotenuse
cos50° = b/20.9 {by cross multiplication}
b = 20.9 × cos50°
b = 13.4
The sum of interior angles of a triangle is equal to 180° so;
angle B = 180° - (90° + 50°)
angle B = 180° - 140°
angle B = 40°
Therefore, by application of trigonometric ratios sine and cosine, we have the sides of the right-angled triangle b = 13.4, c = 20.9, and the angle B = 40°.
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Roberto' employer offer a liding paid vacation. When he tarted work, he wa given three paid day of vacation. For each ix-month period he tay at the job, hi vacation i increaed by two day. Let x repreent the number of 6-month period worked and y repreent the total number of paid vacation day. Write an equation that mode the relationhip between thee two variable
An equation that mode the relationship between thee two variable is y=2x+3 .
Let x represent the number of 6-month period worked
Let y represent the total number of paid vacation day
According to the question,
When he started work, he was given three paid day of vacation. For each six-month period he pay at the job, his vacation is increased by two day.
Each year has 2 six-month periods. After 4.4 years Roberto will have worked 8.8 six-month periods. He will have been given vacation days for each of the 8 whole working periods he has completed. x=8 y=2*8+3 y=19
An equation that mode the relationship between thee two variable is y=2x+3 (Total vacation time equals 2 days times x plus the 3 days he was given at the start).
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3/10 / p = 4/5 / 1/4
What is the value of people in this proportion?
The value of people in this proportion is equal to 165/10 or 10.67.
What is a proportion?In Mathematics, a proportion can be defined as an equation which is typically used to represent (indicate) the equality of two ratios. This ultimately implies that, proportions can be used to establish that two ratios are equivalent and solve for all unknown quantities.
By applying direct proportion to the given information, we have the following mathematical expression:
3/10/p = 4/5/1/4
3/10 × p = 4/5 × 4
3p/10 = 16/5
Cross-multiplying, we have the following:
15p = 160
People, p = 160/15
People, p = 10.67
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Will give brainliest for correct answer! :D
solve the simultaneous equation y = 2x - 3 and y = x + 2
Answer:
\(2x - 3 = x + 2 \\ 2x - x = 3 + 2 \\ x = 5 \\ y = 5 + 2 \\ y = 7\)
how manyy solutions does this system of equations have? explain how you know y + 2x = 5 y = 3x + 5
Answer:
(-5, -10)
Step-by-step explanation:
y+2x = 5y
==>2x=4y
x=2y
5y=3(2y)+5
==>
y = -5
x = -10
==>
one solution
The value of a certain car after one year was $13,595. The value of the same car after 3 years was $11,095. Find the slope and explain what it means.
Answer:
-1250/1 or -1250
This tells us that the car depreciated in value by $1250 every year.
Step-by-step explanation:
11,095-13,595= -2500
This is the value that the car has depreciated over 2 years (from the first year to the third year)
Since we need to find the slope we divide this value by two.
That value would be -1250
Since the value is negative, we know the car has depreciated in value. We also now know that it depreciated in value by $1250 every year
Hope this helps!
Which vehicles are worth less than $3,000 a decade after purchasing new? Select all that apply.
Coupe: $15,435 MSRP, depreciates at an average rate of 14% per year
Wagon: $19,285 MSRP, depreciates at an average rate of 17% per year
Convertible: $20,599 MSRP, depreciates at an average rate of 18% per year
Sport: $26,875 MSRP, depreciates at an average rate of 19% per year
Crossover: $31,500 MSRP, depreciates at an average rate of 22% per year
The vehicles that are worth less than $3,000 a decade after purchasing new are the Wagon, Convertible, and Sport.
Depreciation calculationTo determine which vehicles are worth less than $3,000 a decade after purchasing new, we can use the following formula:
Final Value = MSRP * (1 - Depreciation Rate)^10
For each vehicle, let's calculate the final value after 10 years and see if it's less than $3,000:
Coupe: Final Value = $15,435 x (1 - 0.14)^10 = $3,426.53 (greater than $3,000)Wagon: Final Value = $19,285 x (1 - 0.17)^10 = $2,822.35 (less than $3,000)Convertible: Final Value = $20,599 x (1 - 0.18)^10 = $2,686.11 (less than $3,000)Sport: Final Value = $26,875 x (1 - 0.19)^10 = $2,343.04 (less than $3,000)Crossover: Final Value = $31,500 x (1 - 0.22)^10 = $1,835.10 (less than $3,000)Therefore, the vehicles that are worth less than $3,000 a decade after purchasing new are the Wagon, Convertible, and Sport.
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The short-run aggregate supply curve is based on the assumption that firms and workers have established nominal wages, with the expectation that ______.
Answer:
The price level will stay constant.
3x-y=7
y=3x-2
answer correctly please
Answer:
No solutions
Step-by-step explanation:
Step 1: Substitute 3x - 2 for y in 3x - y = 7.
\(3x-(3x-2)=7\) \(2 = 7\) (simplify both sides)\(2-2=7-2\) (subtract 2 from both sides)\(0 \neq 5\)Therefore, the answer is no solutions.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
~ ren
Complete the coordinate proof.
Given: A(1, 2), B(3, 3), C(1, -1), D(3, 0)
Prove: △AEB≅△DEC
(geometry) pls help !
Answer:
j RJ irjcirkcks he ed dew wh he x vhg
Step-by-step explanation:
jrjrirjcjrjifjrjfjjfwodoqldmfjrj
hi ate this here sis at St do do
Answer:
Hiiiiiiiiiiiiii iiiiiiiiiiiiiiii
Identify the type of data (qualitative/quantitative) and the level of measurement for the assets of respondents in a survey. explain your choice.
Assets of respondents in a survey is a quantitative data and the level of measurement is a ratio scale.
What is a Qualitative and a Quantitative Data?Qualitative properties are properties that are observed and can generally not be measured with a numerical result.
Examples of quantitative data include, number of students in a class, weight of students in a class, etc.
Quantitative data is the value of data in the form of counts or numbers where each data set has a unique numerical value. This data is any quantifiable information that researchers can use for mathematical calculations and statistical analysis to make real-life decisions based on these mathematical derivations.
Examples of qualitative data include hair color, religion, nationality, etc.
Thus, assets of respondents in a survey is a quantitative data and the level of measurement is a ratio scale.
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A guitar string vibrates back and forth 88 times in 1 minute. Round your answers to the following questions to the nearest tenth.
How many times does it vibrate per second?
Answer:
1.5
Step-by-step explanation:
divide 88÷60=1.4666667
simplify to nearest 10th
Can someone please help on both questions!! Thank you
Question 7
Answer: A) 15---------------------
Work Shown:
angle B = angle D = 56
angle C = angle F = 64
The missing angle A adds with B and C to get 180
A+B+C = 180
A = 180-B-C
A = 180-56-64
A = 60
Since angles B and D are congruent, and C and F are congruent, this must mean angle A = angle E. I'm using the angle angle (AA) similarity rule.
angle E = angle A
3x+15 = 60
3x = 60-15
3x = 45
x = 45/3
x = 15
Side note: I'm not sure why your teacher marked angle E as the same as angles C and F. They should have used another angle marker to indicate that angles A and E are the same.
================================================
Question 8
Answer: B) 17------------------------------
Work Shown:
Triangle ABC is congruent to triangle EDF. The order is important. We have A first, then B, then C for ABC. Also, we have E first, then D, then F for EDF.
Therefore, we have these three pairings
angle A = angle Eangle B = angle Dangle C = angle FWe'll first need angle C
A+B+C = 180
C = 180-A-B
C = 180-42-108
C = 30
which we'll then solve for x
angle F = angle C
4x-4 = 30
4x = 30+4
4x = 34
x = 34/4
x = 8.5
which doubles to
2x = 2*8.5
2x = 17
Find the value of a in the equation below.
5 = x - 18
Answer:
There's no A so I'm going to assume you meant X
X = 23
Step-by-step explanation:
X is equal to 23, because 23 - 18 = 5
or 5 + 18 = 23
Kwasi has earned $60 in babysitting money. He spends 40% of this money buying drinks for himself and two friends at Starbucks. He wants to buy a used skateboard for $35. Does he have enough money leftover to buy the skateboard
Answer: Yes
Step-by-step explanation:
Given
Kwasi earned \(\$60\) in babysitting
He spends 40% of the money in buying drinks
Money spend is given by
\(\Rightarrow 60\times 40\%\\\Rightarrow \$24\\\text{Remaining amount is}\\\Rightarrow 60-24=\$36\)
So, Kwasi has enough money left to buy a skateboard.
Calculate the curvature () when ()=⟨2−1,1,1⟩ ()=
Please provide the complete parametric equations r(t) = ⟨x(t), y(t), z(t)⟩ to calculate the curvature.
Mathematical formulas known as parametric equations specify a point's coordinates in terms of one or more independent variables known as parameters. Parametric equations employ separate equations for the x and y coordinates in instead of utilising a single equation to represent points on a graph.
This makes it possible to depict curves and forms in a more flexible way. The path that the point follows can be changed by adjusting the parameter values, which enables the construction of complex curves like ellipses and spirals. Where exact control over curves and motion is necessary, parametric equations have applications in a variety of domains, such as physics, engineering, computer graphics, and animation.
To calculate the curvature, we first need the tangent vector T(t) and its derivative dT/dt. It seems that you may have accidentally left out some parts of the question, specifically the parametric equations for the curve r(t).
Please provide the complete parametric equations r(t) = ⟨x(t), y(t), z(t)⟩ so that I can help you calculate the curvature.
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WILL MARK BRAINLIEST !!! HELP !
the triangles below are similar use what you know about similar triangles to find the missing side length
angle aoc has a measure of radians. the length of arc ab is units and the radius is 12 units. what is the area of sector boc?
Answer:
To find the area of sector BOC, given angle AOC has a measure of radians, the length of arc AB is units, and the radius is 12 units, follow these steps:
1. Determine the measure of angle BOC in radians. Since angle AOC has a measure of radians, we assume angle BOC is the remaining part of the angle. However, without the actual value for angle AOC, we cannot find the measure of angle BOC.
2. Find the length of arc BC. The length of arc AB is given as units, but we need the length of arc BC to calculate the area of sector BOC. To find the length of arc BC, we need the measure of angle BOC and the radius, which is given as 12 units. Arc length (BC) = radius x angle BOC in radians. However, since we don't have the angle BOC value, we can't calculate the arc length.
3. Calculate the area of sector BOC. To find the area of sector BOC, we use the formula: Area = (1/2) x radius² x angle BOC in radians. With a radius of 12 units, the formula becomes Area = (1/2) x (12²) x angle BOC in radians. However, we don't have the value for angle BOC, so we cannot calculate the area.
Without the actual values for angle AOC and the length of arc AB, we cannot find the area of sector BOC. Please provide the missing values for a more accurate answer.
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The area of sector boc where angle aoc has a measure of radians is 6 times the length of arc AB.
Using the formula for the area of a sector, which is given by:
Area = (θ/2) *\(r^2\),
where θ is the measure of the angle in radians and r is the radius.
In this case, we are given that the angle AOC has a measure of θ radians, the length of arc AB is given in units, and the radius is 12 units. Let's assume that the length of arc AB is denoted by s.
First, we need to find the value of θ. The length of an arc is related to the circumference of the circle by the formula:
s = r * θ,
where s is the arc length, r is the radius, and θ is the angle in radians.
Rearranging this formula, we have:
θ = s / r.
Substituting the given values, we have:
θ = (length of arc AB) / (radius) = s / 12.
Now we can calculate the area of sector BOC:
Area = (θ/2) *\(r^2\) = [(s / 12) / 2] * \(12^2\) = (s / 24) * 144 = 6s.
Therefore, the area of sector BOC is 6 times the length of arc AB.
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the point 2,1 is the turning point of the graph with the equation y=x^2+ax+b
Answer:
14/12/2019 — However, we know that the line passes through two known points with x and y coordinates. ... The equation of a curve is y = x^2 + ax + b where a and b are integers. ... x2 (or second order polynomial) graphs are symmetrical about their turning point ... Therefore, we know that the line intercepts the x-axis at (-1,0) and (5,0).
Step-by-step explanation:
Answer:
a = -4, b = 3
Step-by-step explanation:
sorry, im a bit late but hoping to help others that need the answer.
when you complete the square for a quadratic, you r answer can come in the form (x+p)^2+q.
in this form, p is the opposite of the x coordinate.
and q is the same as the y coordinate.
to get p and q from this, we find the opposite of the x coordinate and use the y coordinate we are given, and plug them into this equation.
we get: (x-2)^2+1
lets complete the equation now.
(x-2)^2 = x^2 - 4x + 4, then add the one we left out = x^2 - 4x + 5.
now our equation is in the same format as y=x^2+ax+b so we can just pull out the A and B which gives us:
A = -4
B = 5
if i am wrong please feel free to correct me, ty.
what is (6p+15)+(10p-9)
Answer:
16p+6
Step-by-step explanation:
we have 9 balls of colours red, green and blue, 3 balls of each color (balls of the same color are identical). we want to place them in the sequence in such a way that no two blue balls are next to each other. how many ways do we have to do it?
There are 347,760 ways to arrange the 9 balls of colors red, green, and blue such that no two blue balls are next to each other. The principle of inclusion-exclusion is used to solve this problem.
First, we calculate the total number of ways to arrange the 9 balls without any restrictions. This can be done using the formula for permutations of n objects, which is n! (n factorial) in this case. So we have:
9! = 362,880
Next, we calculate the number of ways to arrange the balls with two blue balls next to each other. We can treat the two blue balls as a single object and arrange the remaining 7 objects in 7! ways. However, we also need to consider the 3 different ways to choose which two blue balls are next to each other. So we have:
3 x 7! = 15,120
Finally, we need to subtract the number of arrangements with two blue balls next to each other from the total number of arrangements to get the number of arrangements without any two blue balls next to each other:
9! - 3 x 7! = 347,760
Therefore, there are 347,760 ways to arrange the 9 balls of colors red, green, and blue such that no two blue balls are next to each other.
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18 km
12 km
20 km
or
14 km
Answer:
20 km
Step-by-step explanation:
Circumference is given by
C = pi*d
20 pi = pi *d
Divide each side by pi
20 =d
I dkabouthtisoneiuisrhihurg
a math test consists of 10 multiple choice questions, each with four possible answers. if one guesses randomly, what is the probability of getting exactly 5 correct out of 10?
Therefore, the probability of getting exactly 5 correct out of 10 when guessing randomly is 0.2461.
This is a binomial probability problem, where each question is a trial with a probability of success (getting the correct answer) of 1/4, since there are four possible answers and only one is correct. We want to find the probability of getting exactly 5 correct out of 10, so the number of trials is n = 10 and the number of successes we want is k = 5.
The formula for the probability of getting k successes in n trials, each with a probability of success p, is:
P(k) = (n choose k) * p^k * (1-p)^(n-k)
where (n choose k) is the number of ways to choose k successes out of n trials, and is calculated as n! / (k! * (n-k)!).
Plugging in the values for this problem, we get:
P(5) = (10 choose 5) * (1/4)^5 * (3/4)^5
= (252) * (1/4)^5 * (3/4)^5
= 0.2461 (rounded to four decimal places)
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To negate a conjunction, negate each of the component statements and change and to
The negation of "p and q" is "not p or not q", which means that "p and q" is false if either "p" or "q" is false.
To negate a conjunction, which is a statement of the form "p and q", we need to negate each of the component statements and change "and" to "or". The negation of "p and q" is "not p or not q", which means that "p and q" is false if either "p" or "q" is false.
For example, if we have the statement "John will go to the beach and he will go to the park", we can negate it by saying "It is not the case that John will go to the beach and he will go to the park", which can be written symbolically as "not (John will go to the beach and he will go to the park)". Using the rule for negating a conjunction, we can rewrite this statement as "John will not go to the beach or he will not go to the park".
Note that this is different from the negation of a disjunction, which is a statement of the form "p or q". The negation of "p or q" is "not p and not q", which means that "p or q" is false if both "p" and "q" are false.
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WILL GIVE BRAINLIEST
Graph the step function over the interval
Answer:
hope this helps
r+3y=6 in slope intercept
Answer:
Step-by-step explanation:
y = - \(\frac{1}{3}\) r + 2
which is greatest -9 or 9
Answer: 9
Step-by-step explanation: on a number line -9 is before 0 9 is after 0 , and any number to the right of a number is greater.
Suzanne’s math teacher stayed after school for one hour to help students with their homework. Suzanne stayed for 5/12 of the hour. What fraction of the hour did Suzanne not stay?
PLEASE HELP! 10 POINTS!
Answer:
five.
just deleted a paragraph i was writing on why bc he already answered and you got it right therefore i dont need help anymore
thx for points tho
hahaha third time
A message digest is defined as him) - (m*7;2 MOD 7793. If the message m = 23, calculate the hash
The hash of the given message is 135.
In computing, a message digest is a fixed-sized string of bytes that represents the original data's cryptographic hash. This hash is used to authenticate a message, guaranteeing the integrity of the data in the message.
Here, it is given the message m = 23
The formula to calculate hash is him) - (m*7;2 MOD 7793.
So, let's calculate the hash : him) - (m*7;2 MOD 7793(him) - (23*7;2 MOD 7793
⇒ (8*23) - (49 MOD 7793)
⇒ 184 - 49= 135.
So, the hash of the given message is 135.
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