Answer:
The third measurement is 62°
Step-by-step explanation:
Hey there! Please take a look at the explanation for clear understanding to the answer and also let me know in comment if you have any doubts!
Euclidean TriangleThe theorem regarding it states that, sum of all 3 interior angles must equal to 180°.
That means, we will have this equation:
[tex]\displaystyle \large{28^{\circ} + 90^{\circ} + x=180^{\circ}}[/tex] because we know two interior angles and one missing angle - sum of them equals to 180 degrees.
Then we solve for x-term to find the third measurement!
[tex]\displaystyle \large{118^{\circ}+x=180^{\circ}}[/tex]
Subtract both sides by 118 degrees.
[tex]\displaystyle \large{118^{\circ}-118^{\circ}+x=180^{\circ}-118^{\circ}}\\\\\displaystyle \large{x=62^{\circ}}[/tex]
Henceforth, the third measurement is 62°
Read the excerpt from President Reagan’s Address at Moscow State University. Some people, even in my own country, look at the riot of experiment that is the free market and see only waste. What of all the entrepreneurs that fail? Well, many do, particularly the successful ones; often several times. And if you ask them the secret of their success, they'll tell you it's all that they learned in their struggles along the way; yes, it's what they learned from failing. President Reagan includes the underlined question to
A. encourage audience interest and participation.
B. warn listeners against becoming entrepreneurs.
C. raise an objection to his own opinion and counter that argument.
D. reference a question in well-known literature and provide an answer.
Answer:
D. reference a question in well-known literature and provide an answer.
Step-by-step explanation:
Lily helped Mr Cruz cross the road earlier today. After a short introduction of themselves, Lily found out that she is 50 years younger than Mr Cruz. Given that Mr Cruz will be 6 times as old as Lily in 4 years, how old is Mr Cruz now?
Answer:
56 years old
Step-by-step explanation:
50 / ( 6 - 1 ) = 10 = Lily's age 4 years later
10 - 4 = 6 = Lily's age now
6 + 50 = 56
Audrey deposited $80 in an account earning 10% interest compounded annually.
To the nearest cent, how much will she have in 3 year Use the formula 8-p(1 + r), where B is the balance (final amount) p is the principal (starting amour.), ris the interest rate expressed as a decimal, and t is the time in years.
$?
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$80\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.10\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &3 \end{cases} \\\\\\ A=80\left(1+\frac{0.10}{1}\right)^{1\cdot 3}\implies A=80(1.1)^3\implies A=106.48[/tex]
Question 2(Multiple Choice Worth 1 points)
(06.01 MC)
Classify the expression: −2x
A: Quadratic expression
B: Linear expression
C: Cubic expression
D: Exponential expression
Answer:
it is a linear expression
Answer:
B. Linear expression
Step-by-step explanation:
Translate and solve: 220% of what number is 3300?
Note: Enter your answer as a whole number.
If a=2-√5/2+√5 and b=2+√5/2-√5 find (a+b)³
Step-by-step explanation:
really ? you need help here ... - that means you did not even look at it once ...
a = 2 - sqrt(5)/2 + sqrt(5)
b = 2 + sqrt(5)/2 - sqrt(5)
a + b = 2 + 2 = 4 (the rest add up to 0)
(a+b)³ = 4³ = 64
Answer:
64
Step-by-step explanation:
Given :
a = 2 - √5/2 + √5b = 2 + √5/2 - √5Evaluating (a + b)³ :
(2 - √5/2 + √5 + 2 + √5/2 - √5)³(2 + 2 - √5/2 + √5/2 + √5 - √5)³(4)³64Which of the following is equal to tan O using coordinates on the unit circle?
А) У/ х
B) xly
C) x
D) y
The expression which is equal to tan O using coordinates on the unit circle is y/x. Option A is correct.
What is right angle triangle property?In a right angle triangle, the ratio of the opposite side to the base side is equal to the tangent angle between them.
[tex]\tan\theta=\dfrac{b}{a}[/tex]
Here, (a) is the base side, (b) is the opposite side.
Let suppose y is the length of opposite side in a unit circle and x is the length of base side. Thus, the value of tan theta is:
[tex]\tan\theta=\dfrac{y}{x}[/tex]
Hence, the expression which is equal to tan O using coordinates on the unit circle is y/x. Option A is correct.
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(1-6i)-(3-4i)
please solve this perblom
Answer:
-2 - 2i
Step-by-step explanation:
open the bracket
1 - 6i - 3 + 4i
1 - 3 + 4i - 6i
-2 - 2i
Answer:
-2 - 2i
Step-by-step explanation:
Complex numberAdd the real numbers (1 and (-3) ) and add the complex numbers [ 4i and (-6i) ]
(1 - 6i) - ( 3 - 4i) = 1 - 6i - 3 + 4i
= 1 -3 - 6i + 4i
= -2 - 2i
We have to open the brackets. To do that Multiply (-1) with (-3) & 4i. Now, complex numbers are (-6i) and 4i. So combine them. 6i and 4i have different signs. So, subtract and the result will have bigger number sign. Here the bigger number sign is negative. So, -6i + 4 i = -2iNow combine real numbers. 1 - 3 = -2I need help with all 4 very fast since i got math next per in 20 min thanks
Answer:s=12
Step-by-step explanation:s divided by 24 equals 12
can someone help me with this question that is attached?
The value of f(g(x)) in the form a + bxⁿ is 1 -5x⁻². Where a = 1, b = -5 and n = -2
Determining the value of a functionFrom the question, we are to determine the value of f(g(x)) in the form a + bxⁿ
From the given information,
[tex]f(x) = \frac{x}{x+5}[/tex]
and
[tex]g(x) = x^{2} -5[/tex]
Then,
[tex]f(g(x)) = \frac{(x^{2} -5)}{(x^{2} -5) +5}[/tex]
∴ [tex]f(g(x)) = \frac{x^{2} -5}{x^{2} }[/tex]
Simplifying
[tex]f(g(x)) = \frac{x^{2} }{x^{2} } -\frac{5}{x^{2}}[/tex]
[tex]f(g(x)) = 1 -\frac{5}{x^{2}}[/tex]
[tex]f(g(x)) = 1 -5x^{-2}[/tex]
Hence, the value of f(g(x)) in the form a + bxⁿ is 1 -5x⁻². Where a = 1, b = -5 and n = -2.
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iready math number line
Answer:
the first equation or the one below it
Step-by-step explanation:
please mark me as brainliest
In November 2005, an international study to assess public opinion on the treatment of suspected terrorists was conducted (“Most in U.S., Britain, S. Korea, and France Say Torture is OK in at Least Rare Instances,” Associated Press, December 7, 2005). Each individual in random samples of 1000 adults from each of 9 different countries was asked the following question: “Do you feel the use of torture against suspected terrorists to obtain information about terrorism activities is justified?” Responses from Italy, Spain, France, the United States, and South Korea are summarized in the table below. Based on these data, is it reasonable to conclude that the response proportions are not the same for all five countries? Use a = 0.01 to test the appropriate hypotheses.
Based on the responses, the significance level, and the p-value, we can conclude that the response proportions are not the same for the countries.
What can be concluded about the response proportions for these countries?The null hypothesis is that the response proportions are the same. The alternate hypothesis is that the response proportions are not the same.
The sample size is large enough for a Chi-Square test to be used because the expected counts are all greater than 5.
Running a Chi-Square analysis shows that the P-value to be 0.000.
The P-Value is less than the significance level of 0.01 so the null hypothesis is rejected. This means that the alternate hypothesis of the response proportions not being the same is true.
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Find the area of a piece of
carpet that measures 14 feet by 3
feet. Write your answer as a mixed
number.
Answer:
42 ft ^ 2
Step-by-step explanation:
All we have to do is multiply 14 and 3. That gives us 42.
Answer:
3/4 sq ft
Step-by-step explanation:
1/4*3=3/4
im pretty sure u meant 1/4 not 14 bc it says "mixed number"
The graph below could be the graph of which exponential function?
A. F(x) = 3x
B. Fx) = 3 • (1.4)^x
O C. F(x) = 3•(0.4)^x
O D. F(x) = 3 • (-1.4)^x
Answer:
The correct option is B.
Step-by-step explanation:
The only given function that is an exponential decay function is;
B. Fx) = 3 • (1.4)^x
What is Exponential decay function?Now, the general formula for exponential decay function is;
f(x) = abˣ
where b is the decay factor.
here, we have,
we know that,
Now, the decay factor which we will call the base of the exponent must be greater than 1 .
and, we have,
Also, the exponent x must be negative to be called an exponential decay function.
so, from the given graph we get,
Looking at the given options, only Option B meets the criteria for an exponential decay function.
The only given function that is an exponential decay function is;
B. Fx) = 3 • (1.4)^x
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Use the formula; SA= 2(L) + 2(w) + 2(h) to find the survface area for a rectangular prism.
Question: (length = 2.2) (width = 1.46) (Height = 6)
Please answer this because im not smart.
Answer:
The surface area is 19.32
Step-by-step explanation:
The solution in the image
your friend wants to sell his car toyota suv your friend did some online research on similar cars and found the following prices 13500, 12900,15300,13700,12000,. What do you think would be a reasonable price for your friend to sell the car? how did you come up with this price
1. A reasonable price for my friend to sell the car is $13,480.
2. This price is determined as an average of the prices of similar cars.
What is an average?An average is a typical value in a dataset.
An average is the mean of a set of numbers.
The average value can be computed by summing the set of numbers and dividing the result by the number of items.
Data and Calculations:Prices of similar cars:
A. 13,500
B. 12,900
C. 15,300
D. 13,700
E. 12,000
Sum = $67,400
Average = $ 13,480 ($67,400/5)
Thus, a reasonable price for my friend to sell the car is $13,480, which is the average price of similar cars.
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What is the equation of the line that has a slope of
-3 and goes through the point (1, -2)?
Answer:
Step-by-step explanation:
y + 2 = -3(x - 1)
y + 2 = -3x + 3
y = -3x + 1
a box in the shape of a rectangular prism has a length of 3 5/8 inches a width of 2 1/2 inches and a height of 4 inches. what is the volume of the box
The volume of the rectangular prism box with the given dimensions is: 36.25 cubic inches.
What is the Volume of a Rectangular Prism?Volume of a rectangular prism = (length)(width)(height)
Dimensions of the given rectangular prism box:
Length = 3 5/8 = 3.625 inchesWidth = 2 1/2 = 2.5 inchesHeight = 4 inchesVolume of the rectangular prism box = (3.625)(2.5)(4) = 36.25 cubic inches.
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Hewwo!
Guys I needa little help!
[tex] \rm \: cos \: 45 + sin \: 160[/tex]
Answer:
The Answer is: 0.744747
Step-by-step explanation:
cos 45 + sin 160
0.525322 + 0.219425
0.744747
hope this helps if it wasn't too late lol
Jeremiah created a game where he flips a fair coin 3 times. Jeremiah wins the game if he flips heads at least 2 times. What are all the possible outcomes to win, based on the first two flips? What is the probability of winning, based on the first two flips? Move words and fractions to the table to answer the questions.
The probability of getting head at least two times will be 11%
What is probability?
Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
The probability will be:-
Sample outcomes are { H,H,H,T,T,T}
Favourable outcomes are { H }
So the probability of getting at least two times head will be:-
P = ( 1 / 3 ) x ( 1 / 3 ) = 0.11 = 11%
Therefore the probability of getting head at least two times will be 11%
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Answer:
The other persons explaition was difficult
Step-by-step explanation:
demand for a certain product is random. It has been estimated that the monthly demand of the product has a normal distribution with a mend of 390units. The unit price of product is ETB 25. Ordering cost is ETB 40 per order and inventory carrying cost is estimated to be 35 percent per year. Calculate economic order quantity (EOQ)
The economic order quantity of the product with the demand of 390 units is 1392.86 units.
What is an economic order quantity?This refers to an inventory management technique that helps make efficient inventory management decisions.
The formula for economic order quantity is [tex]\sqrt{2 * D * S / H}[/tex]
Given data
Demand = 390 units.
Unit price of product is ETB 25.
Ordering cost is ETB 40 per order
inventory carrying cost is estimated to be 35 percent per yer
EOQ = [tex]\sqrt{2*390*25/40*0.35}}[/tex]
EOQ = 19,500 / 14
EOQ = 1392.85714286
EOQ = 1392.86 units
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Evaluate the equation. H divided by 3 = 69 2/3
Answer:
138
Step-by-step explanation:
Do the inverse. 69 2/3 multiplied by 3 is 138.
Hi can you answer theese 4 questions if they are correct I will give you brainily
Answer:
1. The answer for the first one is 7/8
2. the 1/4 is larger
3. the 1/2 inch tadapole is larger (note: the smaller the number is in fraction, the larger it is. If the number is larger in the bottom, the number in terms of fraction is smaller.
4. 3 inchies(sorry mispelling)
Step-by-step explanation:
3/8(total)+4/8 = 7/8
brainly points pls
Please answer as soon as possible as i need the answer fast
Answer:
[tex]\sf \dfrac{1}{4}[/tex]
Step-by-step explanation:
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
From inspection of the diagram:
Total number of pawns = 16Total number of squares = 64[tex]\implies \textsf{P(landing on a pawn)} \sf = \dfrac{\textsf{Total number of pawns}}{\textsf{Total number of squares}}[/tex]
[tex]\implies \textsf{P(landing on a pawn)} \sf = \dfrac{16}{64}=\dfrac{1}{4}[/tex]
[tex]\sf probability : \bf 0.25[/tex]
Step-by-step explanation:The dimensions of a chess board is (8 × 8)There are 64 squares on a chess board.There are 8 black pawns and 8 white pawns.Total pawns in a chess board: (8 + 8) = 16 pawns on 16 squares.[tex]\sf Probability = \dfrac{favorable \ outcomes}{total \ outcomes}[/tex]
[tex]\dashrightarrow \ \sf probability : \ \bf \dfrac{16}{64}[/tex]
[tex]\dashrightarrow \ \sf probability : \ \bf \dfrac{1}{4} \ \ \approx \ \ 0.25 \ \ (as \ a \ decimal)[/tex]
What is the probability that a registered voter voted in the election?
Answer:
0.4714, a simplified 47%
Step-by-step explanation:
:)
The graph below describes the dependence of the time traveled from point A to point B, on the speed at which the traveling occurs. With the help of the graph answer the following questions: 2 4 t, h 6 8 10 12 14 16 200 400 600 800 v, km/h How much time is necessary for traveling between points A and B, when the speed is 800 km/hour; 250 km/hour; 120 km/hour?
The time needed to travel between points A and B when the speed is 800 km/hour; 250 km/hour; 120 km/hour are 2.25 hours, 7.2 hours and 15 hours, respectively
How to determine the time taken to travel?Given the distance and speed, the time taken to move between points is calculated using:
Time = Distance/Speed
The required graph is not given.
So, we assume that the distance between both points is:
Distance = 1800km
Using the assumed value above, we have:
When speed = 800km/hr
Time = 1800/800
Time = 2.25 hours
When speed = 250km/hr
Time = 1800/250
Time = 7.2 hours
When speed = 120km/hr
Time = 1800/120
Time = 15 hours
Hence, the time needed to travel between points A and B when the speed is 800 km/hour; 250 km/hour; 120 km/hour are 2.25 hours, 7.2 hours and 15 hours, respectively
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Drag each tile to the correct box. Consider the given functions f, g, and h. x -1 0 1 2 3 4 f(x) -2 1 4 7 10 13 A graph of function g on a coordinate plane where the function intersects the Y-axis at 1 and the X-axis at minus 4. Place the tiles in order from least to greatest according to the average rate of change of the functions over the interval [0, 3]. function h function g function f , ,
Answer:
G, F, H
Step-by-step explanation:
Aisha estimates the product of 12 and 2.4 by rounding 2.4 to the nearest whole. She rounded 2.4 to
then she multiplied it by 12. Her estimation was
. Next, she multiplied 12 x 2.4 =
Answer: estimation=24
Step-by-step explanation:
2.4 is rounded down to 2
so she would do 2×12=24
the marathon runner runs 5/2 miles in 1/4 hour what is the unit rate?
Step-by-step explanation:
Divide the two numbers.
5/2 / 1/4
Flip the 2nd fraction and multiply:
5/2 * 4/1
20/2
10
So the marathon runner travels at a unit rate of 10 MPH.
Rewrite √-9-6 in complex number notation.
A. −6 − 3i
B. −6 + 3i
C. √3i -6
D. -6 -√-9
Answer:
B) - 6 + 3i
Step-by-step explanation:
Complex number notation:
i² = -1
[tex]\sf \sqrt{-9}-6=\sqrt{3^2*i^2}-6[/tex]
[tex]\sf = 3i - 6[/tex]