What is the value of x in this triangle?
Enter your answer as a decimal in the box. Round only your final
answer to the nearest hundredth. 5, 20, x
Answers
Answer:
[tex]\sf x= 14.04^{\circ \:}[/tex]
using tan rule:
[tex]\sf tan(x)= \dfrac{opposite}{adjacent}[/tex]
solve:
[tex]\rightarrow \sf tan(x)= \dfrac{5}{20}[/tex]
[tex]\rightarrow \sf x= tan^{-1}(\dfrac{5}{20})[/tex]
[tex]\rightarrow \sf x= 14.04^{\circ \:}[/tex]
Answer:
x = 14.04° (nearest hundredth)
Step-by-step explanation:
Use the tan trig ratio:
[tex]\mathsf{\tan(\theta)=\dfrac{O}{A}}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleGiven:
[tex]\theta=x[/tex]O = 5A = 20[tex]\implies \mathsf{\tan(x)=\dfrac{5}{20}}[/tex]
[tex]\implies \mathsf{x=\arctan\left(\dfrac{5}{20}\right)}[/tex]
[tex]\implies \mathsf{x=14.04\textdegree \ (nearest \ hundredth)}[/tex]
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Six of 8 stores have power drinks on sale saturday. In simplest form, what fraction of the stores has power drinks on sale saturday?
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PLS HELP :(
Solve the inequality and graph the solution on the line provided.
Answers
Answer:
[tex]x\leq -1[/tex]
Step-by-step explanation:
1. [tex]7x\leq 7-14[/tex]
2.[tex]7x\leq -7[/tex]
3. divide both sides by 7
4. [tex]x\leq -1[/tex]
Closed circle on -1 and the line goes to the left
The tax on a new pair of headphones is $3.70 and the total cost after tax is $49.95 . What is the pre-tax price of the headphones
Answers
Answer:
the price is 46.25 dollars
Step-by-step explanation:
There are five wires which need to be attached to a circuit board. A robotic device will attach the wires. The wires can be attached in any order, and the production manager wishes to determine which order would be fastest for the robot to use. Use the multiplication rule of counting to determine the number of possible sequences of assembly that must be tested. (Hint: There are five choices for the first wire, four for the second wire, three for the third wire, etc.
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Answer:
4
Step-by-step explanation:
44
Given f(x) = -5x - 2, what is the value of f(-3/5)?
Answers
Answer:
1
Step-by-step explanation:
f(-3/5)=-5(-3/5)-2
f(-3/5)=3-2
f(-3/5)= 1
Please help me with this problem
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Answer:
Since the taxis are heading directly towards each other, we will assume the path between them to be a straight line
We have 2 taxis coming towards each other, which means that we have 2 observers in this system
so from now on, we will see this situation from the eyes of the driver coming at the speed of 40mph
Now imagine yourself in a car. if you are in a moving car, a tree outside will look like it is moving in the opposite direction and it will be doing so at the same speed as the speed of your car and we will always feel like we are at rest
so, we can say that when we are in a car, the objects coming towards us will have our car's velocity added to their velocity, as in the above case, the speed of the tree is 0mph and your speed is v mph, which causes the tree to move back at a velocity of v mph
Now, back to the question. we are in a car moving at a speed of 40 mph and there is a car coming towards us is moving at a speed of 27 mph
If we look at the situation from the eyes of the driver of the car moving at a velocity 40 mph,
he is at rest and the other car is moving at a velocity of (40 + 27) = 67 mph
So, from the frame of reference of the 40mph driver, the other car is moving at 67 mph and the time taken by a car moving at 67 mph to cover 7 miles is the time in which the taxis will meet
Hence, time taken by a 67 mph car to cover 7 miles
time = distance / speed
time = 7 / 67
time = 0.1 hour (approx) or 6 minutes
Therefore, the taxis will meet after 6 minutes
Paul is training for a bike race and is attempting to improve his average speed. With his old trainer, Paul averaged a pace of 20 MPH. With his new trainer, he rode at an average speed of 27 MPH. By what percent did his average speed increase?
Answers
Answer:
5.4%
Hope This Helps!
To save money you set aside $50. For each following month you set aside 10% more than the previous month.How much money will you save in a year? Explain each step.
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According to researchers at Dan Jones & Associates, 1 in every 3 women has been a victim of domestic abuse (Domestic Violence: Incidence and Prevalence Study, Sept.–Dec., 2005). However, many experts on domestic violence believe that the proportion of women who are domestically abused is closer to p = .10. Compare the probability of observing 4 or more abused women in a sample of 15 if p = 1/3 and the probability of observing 4 or more abused women in a sample of 15 if p = .10. The results will lead us to believe that p=1/3 or p=.1? Group of answer choices p=1/3 p=.1
Answers
Answer:
A) 79.08%
B) 5.55%
C)p = 1/3 is more appropriate than p = 0.1
Step-by-step explanation:
This is a binomial probability distribution problem, so we will use the formula;
P(k) = (n!/(k!(n - k)!) × p^(k) × (1 - p)^(n-k)
We want to Compare the probability of observing 4 or more abused women in a sample of 15 if p = 1/3 = 0.3333 and the probability of observing 4 or more abused women in a sample of 15 if p = 0.10
Thus;
P(X ≥ 4) = P(4) + P(5) + P(6) + P(7) + P(8) + P(9) + P(10) + (P(11) + P(12) + P(13) + P(14) + P(15)
A) Thus at p = 0.3333;
P(4) = (15!/(4!(15 - 4)!) × 0.3333^(4) × (1 - 0.3333)^(15-4) = 0.1949
P(5) = (15!/(5!(15 - 5)!) × 0.3333^(5) × (1 - 0.3333)^(15-5) = 0.2143
Using online binomial probability calculator we can get the remaining values which are;
P(6) = 0.1786
P(7) = 0.1148
P(8) = 0.0574
P(9) = 0.0223
P(10) = 0.0067
P(11) = 0.0015
P(12) = 0.0003
P(13) = 0.0000
P(14) = 0.0000
P(15) = 0.0000
Thus;
P(X ≥ 4) = 0.1949 + 0.2143 + 0.1786 + 0.1148 + 0.0574 + 0.0223 + 0.0067 + 0.0015 + 0.0003 + 0 + 0 + 0 = 0.7908 = 79.08%
B) Now,for p = 0.1 and Using online binomial probability calculator, we have;
P(4) = 0.0428
P(5) = 0.0105
P(6) = 0.0019
P(7) = 0.0003
P(8) = 0.0000
P(9) = 0.0000
P(10) = 0.0000
P(11) = 0.0000
P(12) = 0.0000
P(13) = 0.0000
P(14) = 0.0000
P(15) = 0.0000
P(X ≥ 4) = 0.0428 + 0.0105 + 0.0019 + 0.0003 + 0.0000 + 0.0000 + 0.0000 + 0.0000 + 0.0000 + 0.0000 + 0.0000 + 0.0000 = 0.0555 = 5.55%
C) Comparing both Probabilities, 79.08% is far higher than 5.55%. Thus we can say that p = 1/3 is more appropriate than p = 0.1
How many 3/4
cups of juice can be poured from 6 cups of juice?
Answers
Answer:8
Step-by-step explanation: 4x6=28
28 divided by 4 = 8
Im not a teacher I want questions to be to answer
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Answer:
Huh now?
Step-by-step explanation:
I am sorry but I do not understand
Simplify the following:
a
2
b
•
b
2
a
2
c
=
a
2
b • b
2
a
2
c =
Answers
Answer:
It is A
Step-by-step explanation:
Which is the solution to the equation 0.5X+4.2=5.9? Round to the nearest tenth if necessary.
O 0.9
3.4
5.1
20.2
Answers
Answer:
x = 3.4
Step-by-step explanation:
First start by subtracting 4.2 from both sides and getting .5x = 1.7. Now divide by .5 on both sides. Dividing by .5 is really the same as multiplying by 2, so you get x = 3.4.
Answer:
3.4
Step-by-step explanation:
I did this and got it right
Iveta takes out a mortgage of $100,000 to purchase a property. The interest rate is calculated as a simple interest rate of 5% per year. How much interest would Iveta have to pay after six years?
Answers
She would pay $30 000 of interest in 6 years.
in which quadrant is the point (4,- 2) located
Answers
Answer:
4
Step-by-step explanation:
Grady is excavating the foundation of a house. If the hole will be
40 feet long, 24 feet wide, and 4 feet deep, how many cubic feet
of dirt must be removed from the site?
Answers
Answer:
3,840 cubic feet
Step-by-step explanation:
V=LWH
V= 40X24X4
V=3,840 cubic feet
find a counterexample for the conjecture: If n is a real number, then -n is a negative
Answers
Answer:
Step-by-step explanation:
-5 is a real number, right ?
- (-5) = 5 is not negative
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Answer plzzz I don’t understand
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Answer:
Step-by-step explanation:
in a triangle, the sum of all angles is 180 (angle sum theorem). so use the equation 180=50+80+10x. then solve
1. combine like terms
it becomes 180=130+10x
2. subtract 130 from both sides
it becomes 50=10x
3. divide both sides by 10
it becomes 5=x
so, x=5
hope this helped :)
Write an equation in slope-intercept form for the line that passes through (0, 1) and is perpendicular to the line whose equation is y = 2x? Ay= -2x + 1 B y = 2x + 1 C y = x + 1 Dy=-%2x + 1
Answers
Answer:
y= -1/2 x + 1
Step-by-step explanation:
The line passes through point (0, 1) and is perpendicular to line with equation :
y=2x
Perpendicular lines are those that give -1 when the product of their slopes is calculated.
This means m₁ *m₂= -1
In this case, m₁=2, finding m₂ as;
m₁ * m₂ = -1
2 * m₂ = -1
m₂ = -1/2
Using point (0, 1),m₂ = -1/2, and imaginary line (x, y) then the equation of the line in slope-intercept form y= mx + b will be;
-1/2 = y-1/x-0
-1/2 x = y-1
1-1/2x = y
The equation will be ;
y= -1/2 x + 1
a seed company has a test plot in which it is testing the germination of a hybrid seed, They plant 50 rows of 40 seeds per row. After a two week period, the researchers count how many seed per row have sprouted. They noted that least number of seeds to germinate was 33 and some rows had all 40 germinate. The germination data is given below in the table. The random variable x represents the number of seed in a row th
Answers
Answer:
Mean =[tex]\sum x P(x) = 36.86[/tex]
Standard deviation =[tex]\sum x^2P(X)=1360.9[/tex]
Step-by-step explanation:
x P(x) [tex]x \times P(x)[/tex] [tex]x^2 \times P(x)[/tex]
33 0.02 0.66 21.78
34 0.06 2.04 69.36
35 0.1 3.5 122.5
36 0.2 7.2 259.2
37 0.24 8.88 328.56
38 0.26 9.88 375.44
39 0.1 3.9 152.1
40 0.02 0.8 32
1 36.86 1360.9
We are supposed to find mean and standard deviation
Mean =[tex]\sum x P(x) = 36.86[/tex]
Standard deviation =[tex]\sum x^2P(X)=1360.9[/tex]
20 points
plz answer soon!
A square on a coordinate plane is translated 9 units down and 1 unit to the right. Which function rule describes
the translation?
O T 1,-9 (x,y)
O T -1,-9 (x,y)
O T -9, 1 (x, y)
O T -9, -1 (x, y)
Answers
Answer: it should be the first one!! :)
Step-by-step explanation:
Answer:its the first one
Step-by-step explanation:did the test
WHAT 10 x 10 ÷ 5 x 1000 ?
PLS SOMEONE HELP ME!!!!!!!!!!!
Answers
Answer:
20000
Step-by-step explanation:
10 * 10 = 100
100 / 5 = 20
20 * 1000 = 2000
Macie Andersen earns $9.75 an hour working at the local bookstore. Last week she worked 17 hours. This week she worked 25 hours. What was her straight time pay for the two weeks?
Answers
Answer:
$407.50
Step-by-step explanation:
take 9.75 × 17=165.75
take 9.75 × 25=243.75
add 165.75 and 243.75=407.50
turn into dollars $407.50
Put these numbers in order from least to greatest.
Answers
Answer:
[tex]\sqrt{1}[/tex], 1.23, 5/4, [tex]\sqrt{3}[/tex], 1.9, 11/3
Step-by-step explanation:
5/4 = 1.25
11/3 = 3.67
[tex]\sqrt{3} =1.73[/tex]
[tex]\sqrt{1} =1[/tex]
1.23
1.9
Numbers from least to greatest:
[tex]\sqrt{1}[/tex], 1.23, 5/4, [tex]\sqrt{3}[/tex], 1.9, 11/3
Of the three elevation, -2 feet, -12 feet, and 30 feet, which represents the least number? Which represents the farthest from sea level?
Answers
Answer:
-12 feet represents the least feet and the farthest from sea level.
Step-by-step explanation:
4+ (-3) - 2*(-6)
What is the answer to
Answers
Answer:
13
Step-by-step explanation:
4+(-3)-2*(-6)
4-3-2*-6
1-(-12)
1+12
13
Answer: 13
Step-by-step explanation:
I Had The Same Problem So Try And Its Gonna Be Right.
Please help. This doesnt make sense.
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Answer:
Reflection about the y axis followed by a translation left by 2 units.
Step-by-step explanation:
There is the answer. ^
EXTRA POINTS AND BRAINLIEST
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Answer:
8+y
Step-by-step explanation:
Sum means that you are adding the constant 8 and the variable y.
Hope this helps!!
Answer:
8 + y
Step-by-step explanation:
"sum" means you are performing addition or adding two quantities/values together
Therefore, the "sum" of "8 and y" is just adding 8 and y together
You just put a plus sign between 8 and y to add them together, so you get 8 + y.
Hope this helps!
:)
Sean is comparing dog food prices.At pet foods store,the total weight of a bag of dog food varies directly with the number of bags.Each bag costs $46.04.another store Healthy Pets sells dog food in 50 lb bags. Each bag costs $88.45. How much would Sean save by buying a 150 lb of dog food from Pet Foods instead of Healthy pets?
Answers
Answer:
Step-by-step explained :
How could you describe the maximum the LCM between two numbers could be?
Answers
Answer:
the product of the two numbers
Step-by-step explanation:
The LCM of two numbers is their product, divided by their GCF. If their GCF is 1, then the LCM will be their product. That is the most it can be.
__
We assume you're concerned with whole numbers. For rational numbers, the GCF may be a fraction, so the LCM may be larger than the product of the numbers.
LCM(5, 6) = 5·6/GCF(5, 6) = 5·6/1 = 30
LCM(1/2, 3/4) = (1/2)(3/4)/GCF(1/2, 3/4) = (3/8)/(1/4) = 3/2