Answer:
33 degrees
Step-by-step explanation:
114+2x =180 right?
so 2x = 180-114 = 66
then x = 33
In triangle OPQ, p = 38 cm, q = 29 cm and Angle O=39º. Find the length of o, to the nearest
centimeter.
Answer:
The length of o is 24 centimeters
Step-by-step explanation:
In Δ OPQ
∵ Side p is opposite to ∠P
∵ Side q is opposite to ∠Q
∵ Side o is opposite to ∠O
→ To find side o we must use the cosine rule
∴ o = \(\sqrt{p^{2}+q^{2}-2(p)(q).cos(O) }\)
∵ p = 38 cm
∵ q = 29 cm
∵ m∠O = 39°
→ Substitute them in the rule to find o
∴ o = \(\sqrt{(38)^{2}+(29)^{2}-2(38)(29).cos(39)}\)
∴ o = 23.92008154
→ Round it to the nearest centimeter (whole number)
∴ o = 24 centimeters
∴ The length of o is 24 centimeters
Ross drives 366 miles in 6 hours .if ross continues to drive at the same rate how many miles can he drive in 18 hours
A survey asked, "How many tattoos do you currently have on your body?" Of the 1211 males surveyed, 185 responded that they had at least one tattoo. Of the 1097 females surveyed, 130 responded that they had at least one tattoo. Construct a 90% confidence interval to judge whether the proportion of males that have at least one tattoo differs significantly from the proportion of females that have at least one tattoo. Interpret the interval. Let p 1 represent the proportion of males with tattoos and p 2 represent the proportion of females with tattoos. Find the 90% confidence interval for p 1 minus p 2.
Answer:34%
Step-by-step explanation:I think this is right but I don’t really understand
(96÷[10-2]+6+[6x4]x2(48÷6-4)
Answer:
210
Step-by-step explanation:
lazy to write
Question 3 A 44-metres long fire-fighting ladder is leaned against a building, as shown in the diagram. The base of the ladder is 7 metres from the building and 3 metres above the ground. How high on the building will the ladder reach?
The ladder will reach a Height of approximately 43.46 meters on the building.
To find out how high on the building the ladder will reach, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the ladder forms a right triangle with the ground and the building. The base of the ladder is 7 meters, the height of the building is what we need to find, and the length of the ladder is given as 44 meters.
Using the Pythagorean theorem, we can set up the equation:
(Height of the building)^2 + 7^2 = 44^2
Simplifying the equation, we have:
(Height of the building)^2 + 49 = 1936
Subtracting 49 from both sides, we get:
(Height of the building)^2 = 1887
To find the height of the building, we take the square root of both sides:
Height of the building = √1887
Calculating the square root of 1887, we find that the height of the building is approximately 43.46 meters.
Therefore, the ladder will reach a height of approximately 43.46 meters on the building.
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A marathon had 567 runners registered. Of these runners, about 0.7% completed the race in under 2 h 12 min. How many runners completed the race in this time?
Answer:
3
Step-by-step explanation:
HELP PLEASE FAST!!!!!
Answer: first choice is correct
Step-by-step explanation:
\(\sqrt{10} = 3.16\\\\ \sqrt{13} = 3.6\)
22/9 = 2.44
Therefore Point A is 22/9, Point B is \(\sqrt{10}\), Point C is \(\sqrt{13}\)
La longitud de una batería es 0,000052 metros
Step-by-step explanation:
64 km in bateria longitude
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.
3.- Una persona pinta el interior de un cuadrado de lado 15m, si antes de pintarlo
comete un error al medir la longitud de los lados de 0.2m, resolver por diferencial
(a).- ¿Cuál es el error máximo en el área de pintado (cuanto de diferencia de área
pinto más debido al error).
Answer: SOrry no espanypol
Step-by-step explanation:
help me answer this please
Answer:
3,952 ft
Step-by-step explanation:
Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.
sin8°=\(\frac{550}{c}\)
csin8°=550
c=550/sin8°
c= 3,952
Certain advertisers would like to estimate the proportion of viewers who spend the majority of their television time
watching alone. The consensus is that this percentage has been increasing over the years due to the increased
number of television sets in households.
a. Determine the sample size needed to construct a 90% confidence interval with a margin of error of no more than
6% to estimate the true proportion of viewers who watch television alone.
b. What impact would a pilot sample that showed that 44% of viewers spend the majority of their television time
watching alone have on your on results.
a. The sample size needed is
(Round up to the nearest integer.)
b. The new sample size needed would be 0
(Round up to the nearest integer.)
Answer:
Step-by-step explanation:
what is 4x+3=11 what is the value of x?
Answer:
The Answer is x=2
Step-by-step explanation:
Hope this helps!!!!
Answer:
x=2
Step-by-step explanation:
4x+3=11
4x=11-3 ( subtract 3 on both sides)
4x=8
x=2 ( divide 4 on both sides)
2x - 7 + 3x = 4x + 2
Answer: x=9
Step-by-step explanation:
Combine like terms
Add 7 to both sides
Simplify the expression
Subtract 4x from both sides
Simplify the expression
A bowl contained 59.16 grams of salt. Then, Omar poured in another 13.2 grams. How much salt does the bowl contain now?
Answer: 72.36
Step-by-step explanation:
To find the total amount of salt in the bowl after Omar poured 13.2 grams, we need to add the initial amount of salt in the bowl to the amount of salt Omar added.
The initial amount of salt in the bowl was 59.16 grams.
Omar added 13.2 grams of salt to the bowl.
To find the total amount of salt in the bowl now, we add these two amounts: 59.16 + 13.2 = 72.36
Therefore, the bowl contains 72.36 grams of salt now.
Smallest successive composites with gap
17, 73, 2, 19
Answer:
Well, the smallest successive composites with gap 17, 73, 2, and 19 would have to be:
1. $341 = 11 \times 31$
2. $458 = 2 \times 299$
3. $460 = 2^2 \times 5 \times 23$
4. $479 = 13 \times 37$
the critical value of f for an upper tail test at a 0.05 significance level when there is a sample size of 21 for the sample with the smaller variance and there is a sample size of 9 for the sample with the larger sample variance is
The critical value of f for an upper-tail test at a 0.05 significance level is 2.94.
The critical value of F for an upper-tail test at a 0.05 significance level with a sample size of 21 for the sample with the smaller variance and a sample size of 9 for the sample with the larger variance can be found using an F-distribution table or calculator.
Using an F-distribution table or calculator with numerator degrees of freedom (df1) of 8 and denominator degrees of freedom (df2) of 20 (since df1 is for the sample with the larger variance and df2 is for the sample with the smaller variance), the critical value of F at the 0.05 significance level is approximately 2.94.
Therefore, the answer is a. 2.94.
The complete question is:-
The critical value of F for an upper-tail test at a 0.05 significance level when there is a sample size of 21 for the sample with the smaller variance and there is a sample size of 9 for the sample with the larger sample variance is _____. a. 2.94 b. 2.45 c. 2.10 d. 2.37
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a vase costs $2 bridget has some money if she gets $4.45 more she can buy 5 vases how much money does she have
Answer:
Bridget has $5.55.
Step-by-step explanation:
First let's find how much money Bridget needs to buy 5 vases. To do this, multiply the cost per vase by the amount of vases she wants to buy:
2 * 5 = 10
It would cost $10 to buy 5 vases.
Bridget needs $4.45 in order to buy 5 vases. So, to find how much money she already has, subtract the amount of money she needs from the total cost of the 5 vases:
10 - 4.45 = 5.55
Bridget has $5.55.
Answer:
$ 5.55
Step-by-step explanation:
Find the price of 5 vases
Cost of 5 vases = 5 * 2 = $ 10
She needs $4.45 to buy 5 vases. If we subtract this 4.45 from $10, the result will be the money she has already with her
Money Bridget has = 10 - 4.45
= $ 5.55
answer asap giving max points and brainliest A projectile is launched at an angle of 30° and travels a distance of 400 meters. Gravitational acceleration equals 9.8 m/sec2 calculate the initial velocity.
answer choices:
67
87
57
Answer:
67 m/s
Step-by-step explanation:
Formula for range :
Range = u²sin2θ / gu = initial velocityθ = angle of launchg = gravitational accelerationSolving with the given values :
400 = u² x sin60° / 9.8u² x √3/2 = 3920u² = 7840/√3u² = 4526.4u = 67 m/s (approximately)Answer:
\(\sf u=67\:ms^{-1}\)
Step-by-step explanation:
Assuming the distance traveled is the horizontal distance.
Horizontal Range Formula
\(\sf R=\dfrac{u^2 \sin 2\theta}{g}\)
where:
R = horizontal rangeu = initial velocity\(\theta\) = angle of initial velocityg = acceleration due to gravityGiven:
R = 400 m\(\theta\) = 30°g = 9.8 m/s²Substituting the given values into the formula and solving for u:
\(\implies \sf 400=\dfrac{u^2 \sin 60^{\circ}}{9.8}\)
\(\implies \sf 3920=u^2 \sin 60^{\circ}\)
\(\implies \sf 3920=\left(\dfrac{\sqrt{3}}{2}\right)u^2\)
\(\implies \sf u^2=\dfrac{7840}{\sqrt{3}}\)
\(\implies \sf u=\sqrt{\left(\dfrac{7840}{\sqrt{3}} \right) }\)
\(\implies \sf u=67.2787196...\)
\(\implies \sf u=67\:ms^{-1}\:(nearest\:whole\:number)\)
foreign direct investment helps improve the economic situation of a recipient country by increasing —- opportunities in the country that the company invests in.
Foreign direct investment helps improve the economic situation of a recipient country by increasing employment opportunities in the country that the company invests in.
When foreign companies invest in a recipient country, they often establish or expand their operations, which requires hiring local workers. This leads to job creation and reduces unemployment rates in the recipient country.
Increased employment opportunities result in more individuals having access to income and improved standards of living.
Foreign direct investment also contributes to the transfer of technology, knowledge, and skills to the recipient country. Multinational companies often bring advanced technologies, production techniques, and management practices that may not have been available or widely adopted in the recipient country.
Furthermore, foreign direct investment stimulates domestic investment and encourages the growth of local businesses. When foreign companies invest in a recipient country, they often form partnerships or engage in supply chain relationships with local firms.
Overall, foreign direct investment increases employment opportunities, fosters technology transfer, and stimulates domestic investment, all of which contribute to improving the economic situation of a recipient country.
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Asia and Addison are saving for a new cell phone. Ava is starting with a $100 adding $5 each week. Addison is starting with $200 adding $4 each week. Write and solve a system that can be used to find out after how many weeks Ava and Addison will have the same amount of money saved.
Equations
Ava and Addison are saving for a new cell phone.
Ava starts with $100 and adds $5 each week.
Let's call x to the number of weeks, thus the equation to model the amount of money of Ava's is:
A = 100 + 5x
Addison starts with 200 and adds $4 each week, thus the equation of the money he/she has is:
B = 200 + 4x
We are required to find the number of weeks needed for them to have the same amount of money saved, that is:
100 + 5x = 200 + 4x
Subtracting 4x:
100 + 5x - 4x = 200
Subtracting 100:
5x - 4x = 200 - 100
Operating:
x = 100
Ava and Addison will have the same amount of money saved in 100 weeks
Ava will have: 100 + 5(100) = $600
Addison will have: 200 + 4(100) = $600
What is the Least Common Multiple for 12 and 30
Answer:
60
Step-by-step explanation:
12 times 5
30 times 2
The value of A is -6. The difference between A and C is 6. Type all possible values of C.
Answer:
-12, 0
Step-by-step explanation:
A= -6
If A-C = 6 then, A-6=C
-6-6 =C
C= -12
or C-A =6
C=A+6
C= -6+6
C=0
a cruise ship has a large , circular window. It has a diameter of 6 meters. What is the windows area?
Answer:
28.26
hop thats better the the first anser
one-third of a number is 12 less than the
number itself
Answer:
Step-by-step explanation:
1. Set up an equation
This may be a word problem, but it can definitely be set up into an equation.
For this equation, we can use x as the number.
One-third of x, or x/3
IS (which can also mean equal, =)
12 less than the number itself, x-12
When you put these together you get:
x/3=x-12
We can then solve this equation like normal.
1. Multiply both sides by 3 to cancel the division
x=3x-36
2. subtract 3x on both sides
-2x=-36
3. Now divide each side by -2 to get rid of x's coefficient
x = 18
Test: We can check ourselves to see if this is correct.
1/3 of 18 is 6.
6 is also 12 less than 18.
This proves that 18 is the number.
The table and graph show the population or Oregon
From the given table, it is found that:
a. The average population decline was of 2,250 deer a year.
b. The population would have reached 225 thousand deer during the years of 2017 and 2018.
What is the average rate of change of a function?The average rate of change of a function is given by the change in the output divided by the change in the input of the function. Hence, over an interval [a,b], the average rate of change is given as follows:
\(r = \frac{f(b) - f(a)}{b - a}\)
In 1984 and 2018, the populations are given as follows:
1984: 250 thousand.2018: 173.5 thousand.Hence the rate of change is given as follows:
r = (173.5 - 250)/34 = -2.25.
(2.25 thousand = 2,250).
For item b, the following linear function is built:
y = 230.5 - 1.45x.
The amount would be of 225 when:
230.5 - 1.45x = 225
1.45x = 5.5.
x = 5.5/1.45
x = 3.79.
Hence between the years of 2017 and 2018.
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Help me and u get 70 points you gotta get it right
Answer:
A.
Step-by-step explanation:
YJ, YB,YS, WJ, WB, WS, GJ, GB, GS, TD
Greg has 4 shirts: a white one, a black one, a red one, and a blue one. He also has two pairs of pants, one blue and one tan. What is the probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants? Show your work. (10 points)
MARKING BRINLIEST AND GIVING A LOT OF POINTS PLSSSS HELP
The probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants is 0.125 or 12.5%.
To find the probability that Greg winds up wearing the white shirt and tan pants while getting dressed in the dark, we need to find out all the possible outfit options. According to the question given, first we nned to find out number of outfit combinations possible.
Total number of Outfit Combinations:
There are 4 shirts: a white one, a black one, a red one, and a blue one and also two pairs of pants, one blue and one tan. So, total number of possible outfit combinations would be 4 * 2 = 8.
No of favourable options:
As given in the question, Greg wears white shirt and tan pants. There is only one white shirt and one tan pant. So, number of favourable options would be only 1 .
Probability = Number of favourable outcomes/Total no. of combinations
Probability = 1/8
Probability = 0.125 or 12.5%
Therefore, the probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants is 0.125 or 12.5%.
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What are the solution(s) of -3x+4 = x+12
Answer:
x = -2
Step-by-step explanation:
-3x + 4 = x + 12
Subtracting 4 from both sides:
-3x = x + 8
Subtracting x from both sides:
-4x = 8
Diving both sides by -4:
x = 8 / -4 = - (8/4) = -2
x = -2
The discriminant of a quadratic equation is the value b2 – 4ac. What is the value of the discriminant of 0 = –2x2 + 6x + 13?
Answer ; D = 140...............
Discriminant form:
ax2+bx=c=0
-2x2+6x=13=0
DISCRIMINANT:
-b+4ac
-6+4(-2)(-13)=-6+4(26)=-6+30=24
Now for the x's:
x1=\(-b+\sqrt{x} /2a\)
x2=\(-b-\sqrt{x} /2a\)