Answers
Answer:
[tex] x = 6\sqrt{2}[/tex]
Step-by-step explanation:
Reference angle = 45°
Adjacent side = 6
Hypotenuse = x
Applying trigonometric ratio, we have:
[tex] cos(45) = \frac{6}{x} [/tex]
Multiply both sides by x
[tex] x*cos(45) = 6 [/tex]
Divide both sides by cos(45)
[tex] x = \frac{6}{cos(45)} [/tex]
[tex] x = \frac{6}{\frac{\sqrt{2}}{2} [/tex] (cos 45 = √2/2)
[tex] x = \frac{6}*{\frac{2}{\sqrt{2}} [/tex]
[tex] x = \frac{12}{\sqrt{2}} [/tex]
Rationalize
[tex] x = \frac{12*\sqrt{2}}{\sqrt{2}*\sqrt{2} [/tex]
[tex] x = \frac{12*\sqrt{2}}{2} [/tex]
[tex] x = \frac{6*\sqrt{2}}{1} [/tex]
[tex] x = 6\sqrt{2}[/tex]
Related Questions
The graph below represents how much money Marcia charges for babysitting a certain number of hours.
Explain the meaning of the point (1,15) and why the point (0,0) appears on the graph.
Answers
Answer:
the 1/15 means the she gets 15.00 for working 1 hour. and the 0,0 means she gets 0 price because she worked 0 hours.
The United States government wanted to determine what proportion of Americans approve of the current President so they conducted a survey of 2,000 randomly chosen Americans. Assume that the true proportion of Americans who approve of the president is 0.46. Determine what the mean and the standard deviation of the sampling distribution of the sample proportion would be. Round to 2 decimal places when necessary. The mean of the sampling distribution is .43 and the standard deviation of the sampling distribution is .05 .
Answers
Answer:
The mean of the sampling distribution is 0.46
The standard deviation of the sampling distribution is 0.01
Step-by-step explanation:
We use the central limit theorem to solve this question:
Central Limit Theorem
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
In this question:
[tex]p = 0.46, n = 2000[/tex]
So
Mean: [tex]\mu = p = 0.46[/tex]
Standard deviation: [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.46*0.54}{2000}} = 0.01[/tex]
The mean of the sampling distribution is 0.46
The standard deviation of the sampling distribution is 0.01
The mean and the standard deviation of the sampling distribution of the sample proportion are 0.46 and 0.01 respectively
Proportion and standard deviation
The formula for calculating the standard deviation for a sample proportion is given as:
[tex]\sigma =\sqrt{\frac{p(1-p)}{n} }[/tex]
p is the proportionn is the sample sizeNote that p = mean = 0.46
To get the standard deviation:
[tex]\sigma =\sqrt{\frac{0.46(1-0.46)}{2000} }\\\sigma =\sqrt{\frac{0.46(0.54)}{2000} }\\\sigma = 0.01[/tex]
Hence the mean and the standard deviation of the sampling distribution of the sample proportion are 0.46 and 0.01 respectively.
Learn more on sample proportion here https://brainly.com/question/22985943
Help please!! Cofunctions of complimentary angles
cos(34°) = sin(?)
Answers
9514 1404 393
Answer:
56°
Step-by-step explanation:
Cofunctions of complementary angles have the same value.
cos(34°) = sin(90°-34°) = sin(56°)
Q1)
Find each portion when you share $12 in the ratio:
1:2
Answers
Answer:
Step-by-step explanation:
1+2 = 3
12/3 = 4
so for the "1" you get 4
for the "2" you get 8
Add parentheses to make this equation true 7 + 8 - 2 x 3 = 25
Answers
5. Mason's mom bought g games online. The games cost $12 each plus a $7 shipping fee. Write an expression to represent how much Mason's mom spent for the games
Answers
Plz help me guys I need help
Answers
Answer:
Option D- 11
Step-by-step explanation:
Replace x with 2 and you will get
f(2)=3(2)+5
f(2)=6+5
f(2)=11--> Option D
Hope this helps you.
If a man is driving at a rate of 80 km per hour, how many kilometers will he travel in 30 minutes? A. 30 km B. 40 km C. 60 km D. 240 km
Answers
Explanation
i guss d is the answer of it
Jim can paint 5 chairs with 11.3 gallons of paint.
How many chairs can he paint with 24.86 gallons?
Answers
Answer: Jim can paint 11 chairs.
Step-by-step explanation: if 5 chairs is 11.3 then 10 chairs are 22.6 and if you want to know how much is on 24.86 you divide 11.3 with 5 because then you can add with 1 chair at a time which is 2.26 and then you add 2.26 which is exactly 24.86. 5+5+1 is 12. 5 chairs=11.3 10 chairs=22.6 11 chairs=24.86One side of triangle is 5 more than 3 times the shortest side. The third side is 24 feet more than the shortest side. The perimeter is 114 . Find all three sides.
Answers
Answer:
17, 56, 41,
Step-by-step explanation:
"third side is 24 more than shortest side"
Let a be the shortest side.
c = a+24
"perimeter is 114"
a+b+c = 114
a+b+(a+24) = 114
2a + b = 90
"one side is 5 more than 3 times the shortest side"
That side must be b; c is an extraneous solution.
b = 3a+5
2a+(3a+5) = 90
a = 17
b = 56
c = 41
(a,b,c) = (17,56,41)
A 30\,\text {kg}30kg30, start text, k, g, end text dog runs at a speed of 15\, \dfrac{\text m}{\text s}15
s
m
15, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction.
What is the dog’s kinetic energy?
Round answer to two significant digits.
Answers
Answer:
3,400 J
Step-by-step explanation:
Got it off Kahn Academy, please just trust me on this.
A 30 kg dog runs at a speed of 15 m/s.
What is the dog’s kinetic energy?
Answer: 3,400 J
Evaluate the expression when b=2.
12−b =
Answer:
Answers
Substitute in so
12 - 2 = 10
Answer is 10
QUCIK!!!!
Find the equation of the line with Slope = 5 and passing through (7,43). Write your equation in slope
intercept form
Answers
Answer:
Y=5x+8
Step-by-step explanation:
43=5(7)+b Substitute in the ordered pair and solve in parathensis
43=35+b Subtract 35 from both sides
43-35=-35+b Did you subtract?
8=b The variable is 8.
y= 5x+8 Rewrite the equation in slope intercept form
what is 5% of 20= pls I really need some help on this will mark brainly if correct
Answers
Answer:
1
Step-by-step explanation:
5% of 20 = 1. hope this helps :)
Karley is an architect building the city pool. The larger rectangle represents the entire pool area. The smaller rectangle represents the pool. The shaded area represents the 4-foot walkway border around the pool. What is the area of the walkway border, or the shaded region, of this figure in square feet
Two rectangles, one lying completely within the other. The area between the rectangles is shaded. Two adjacent sides of the larger rectangle are labeled sixty feet and forty feet. The shaded area is labeled four foot border.
Answers
Answer:
Area of the walkway border is 736 ft²
Step-by-step explanation:
A rectangle is a quadrilateral (has four sides and four angles) with two pairs of opposite and parallel sides. All angles in a rectangle are 90 degrees each. Also, opposite sides are equal.
The entire pool area has a length of 60 feet and width of 40 feet. The area of the entire pool area is:
Area of entire pool = length * width = 60 feet * 40 feet = 2400 ft²
The area of entire pool
A walkaway border of 4 ft is made around the pool area. There is a decrease of 4 ft round the sides of the pool area.
Therefore length of pool = length of entire pool area - 4 feet border at left - 4 feet border at right = 60 ft - 4 ft - 4 ft = 52 ft
width of pool = width of entire pool area - 4 feet border at top - 4 feet border at bottom = 40 ft - 4 ft - 4 ft = 32 ft
Therefore the pool is 52 ft × 32 ft
Area of pool = length * width = 52 ft * 32 ft = 1664 ft²
Area of the walkway border = Entire pool area - Area of pool = 2400 ft² - 1664 ft² = 736 ft²
Answer: The answer is 736ft
Step-by-step explanation:
I took the test and it was 736
Sansa solved the equation 1/2(8x-6)=x+9
Answers
Answer:
x=4
Step-by-step explanation:
;)
Where is the point (5. - 1) located in the coordinate plane?
A. In quadrant II
B. On the yaxis
C. In quadrant IV
o D. In quadrant III
Answers
Answer: A.
Step-by-step explanation: 5 is in one of the first 2 quadrants, and since the second number is a negative, it goes in the 2nd quadrants.
Rewrite using a single positive exponent.
(7^2)^-7
Answers
Answer:
Step-by-step explanation:
we have to remember the power rules, power raised to the power-we use the multiplication
(7^2)^-7=7^-14= 1/7^14
Plz help this is due in 39 minutes
Answers
Answer:
x=50
y=50
Step-by-step explanation:
its right because sas
Answer:
40 and 40
Step-by-step explanation:
180-100= 80
80/2=40
Elizabeth raises chickens and sells the eggs to a local supermarket. The supermarket pays $0.85 for every dozen eggs. How much money could Elizabeth expect to earn in a week if her chickens lay, on average, 51 dozen eggs per week?
Answers
Answer:
On average, Elizabeth will earn $43.35 per week if her chickens lay 51 dozen per week.
Step-by-step explanation:
0.85x
x represents how many dozens
0.85(51) = 43.35
WHAT INFORMATION DOES THE CORRELATION COEFFICIENT TELL YOU ABOUT A SCATTERPLOT
Answers
Answer:
How close the correlation is. the closer the correlation coefficient is to ±1, the stronger the correlation
Step-by-step explanation:
Please help!! Thank you so much! (I hate school) :,)
Answers
(7x2)=14+5=19
(28/2)=14+5=19
Have a nice day!:)
GIVING BRAINLIEST! AND 20 POINTS!
The two triangles below are similar. To the nearest tenth, what is the measurement of the missing side?
Answers
Answer:
4.1
Step-by-step explanation:
Divide 1.2 and 2.3
Y-9=26
Can anyone help me with this question
Answers
Answer:
Y = 35
Step-by-step explanation:
Solving one step equations
X-7 = 21
Answers
Hope this helps :)
Answer:
x=28 X-7=21. 28-7=21
+7. +7
x=28
A bag comtains 2 red marbles, 3 blue marbles, and 4 green marbles. What is the probability of choosing a blue marble, and without replacing it, drawing a green marble, and without replacing it, drawing another green marble.
A) 1/12
B) 5/12
C) 1/14
D) None of the above
Answers
Answer:
1 /14
Step-by-step explanation:
P(B, G, G) = [tex]\frac{3}{9}[/tex] · [tex]\frac{4}{8}[/tex] · [tex]\frac{3}{7}[/tex]
= [tex]\frac{1}{3}[/tex] · [tex]\frac{1}{2}[/tex] · [tex]\frac{3}{7}[/tex]
= [tex]\frac{1}{14}[/tex]
Select the correct answer.
Which expression is equivalent to the given expression? Assume the denominator does not equal zero.
Answers
So, in this case, 16/8 is 2 (eliminating C and D). Then, you subtract the exponents on r and s. For r, that’s 6-2 so the answer will be r^4. For s, that’s 3-6 so the answer will be s^-3, or 1/s^3. Put it all together and you get 2r^4/s^3, or B.
The expression (16r⁶s³) / (8r²s⁶) in the simplified form will be 2r⁴ / s³. Then the correct option is B.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The expression is given below.
⇒ (16r⁶s³) / (8r²s⁶)
Simplify the expression, then we have
⇒ (16r⁶s³) / (8r²s⁶)
⇒ 2r⁴ / s³
The expression (16r⁶s³) / (8r²s⁶) in the simplified form will be 2r⁴ / s³. Then the correct option is B.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ6
please help! 10 points
Answers
Answer:
2ddksdfkladfkjkafadfasf
Which is the lower rate?
(a) 2,133 km in 6 hours
(b) 1,498 km in 7 hours
Answers
Answer:
2133 km in 6 hours is lower than 1498 km in 7 hours
Step-by-step explanation:
Albert moved 1/4 of lawn and son mowed 3/7 of how much is left to mow
Answers
Answer: 5/28 left to mow
Step-by-step explanation:
How much is left means we have to subtract the fractions. The easiest to do is subtract using the larger fraction first which is 3/7.
3/7 - 1/4
Since you have unlike terms in your denominator, look for that one common factor that can divide into 7 and 4, the numbers in your denominator. In this case there is no common factor, so you have to multiply the 2 numbers in your denominator to get the common factor that would be 7 x 4=28. 28 is new the common factor you will use for each denominator. Now we have to make adjustments to the numerator:
3/7 becomes 12/28 because you have to say to yourself how many times 7 in your oringinal denominator go into 28, your new denominator, which=4. Now you multiply that 4 by the numerator 3 and that would =12 now you have 12/28. For the 1/4, it becomes 7/28 because you have to say to yourself how many times 4 go into 28 which =7. Now multiply 7 by the numerator 1 which =7. Now you have 7/28. Now you can subtract and solve for your answer:
3/7 -1/4 converted to:
12/28 - 7/28 subtract numerators 12-7 and keep the same denominator
Ans: 5/28 left to mow