Answers
Answer:
[tex]a =\frac{\sqrt 2}{2}[/tex] m
[tex]b=\frac{\sqrt 2}{2}[/tex] m
Step-by-step explanation:
Given
The attached triangle
Required
Find a and b
To do this, we make use of the following trigonometry ratio
[tex]\sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]
So, we have:
[tex]\sin(45) = \frac{a}{c}[/tex]
[tex]\sin(45) = \frac{b}{c}[/tex]
Where
[tex]c = 1[/tex]
So, we have:
[tex]\sin(45) = \frac{a}{1}[/tex]
[tex]\sin(45) = a[/tex]
Rewrite as:
[tex]a =\sin(45)[/tex]
In radical form:
[tex]\sin(45) =\frac{\sqrt 2}{2}[/tex]
So:
[tex]a =\frac{\sqrt 2}{2}[/tex]
Similarly:
[tex]\sin(45) = \frac{b}{c}[/tex]
[tex]\sin(45) = \frac{b}{1}[/tex]
[tex]\sin(45) = b[/tex]
Rewrite as:
[tex]b = \sin(45)[/tex]
In radical form:
[tex]\sin(45) =\frac{\sqrt 2}{2}[/tex]
So:
[tex]b=\frac{\sqrt 2}{2}[/tex]
Related Questions
First USA, a major credit card company, is planning a new offer for their current cardholders. The offer will give double airline miles on purchases for the next 6 months if the cardholder goes online and registers for the offer. To test the effectiveness of the campaign, First USA recently sent out offers to a random sample of 50,000 cardholders. Of those, 1184 registered. Give a 95% confidence interval for the true proportion of those cardholders who will register for the offer.
Answers
Answer:
The answer is "[tex]0.02235 \ and \ 0.02501[/tex]".
Step-by-step explanation:
Given:
[tex]x= 1184\\\\n = 50000\\\\c = 95\% = 0.95[/tex]
The sample proportion is computed by subtracting that sample size by both the successes:
[tex]\hat{p}=\frac{x}{n} =\frac{1184}{50000}= 0.02368[/tex]
Determine [tex]z_{\frac{\alpha}{2}} = Z_{0.025}[/tex] using table Z in Table Z for trust level [tex]1 -\alpha = 0.95[/tex]
add using appendix F ((0.025) inside the table, therefore the z-score is the found z-score with negative sign):
So, the boundaries of the confidence interval:
[tex]\to \hat{p}-z_{\frac{\alpha}{2}} \cdot \sqrt{\frac{\hat{p} (1-\hat{p})}{n}} = 0.02368 - 1.96 \cdot \sqrt{\frac{0.02368(1-0.02368)}{50000}}\approx 0.02235 \\\\\to \hat{p}-z_{\frac{\alpha}{2}} \cdot \sqrt{\frac{\hat{p} (1-\hat{p})}{n}} = 0.02368 + 1.96 \cdot \sqrt{\frac{0.02368(1-0.02368)}{50000}}\approx 0.02501\\\\[/tex]
Please solve using the tangent formula(real answers only no links)
Answers
Answer:
x = 21.06 units
Step-by-step explanation:
Given that,
Base, b = 20
Height, h = x
Angle = 36
We need to find the value of x. Trigonometric formulas are used to solve such problems such that,
[tex]\tan(36)=\dfrac{x}{29}\\\\x=29\times \tan(36)\\\\x=21.06[/tex]
So, the value of x is equal to 21.06 units.
someone help pls and thanks
Answers
Please help me with this ASAP ASAP please please help
Answers
Answer:
4ㅈr² is formula
so
4 × ㅈ× (16)²
= 1024ㅈ cm²
twice the sum of a number and 8 is equal to 3 times the difference of the number and 7 find the number
Answers
2(x+8) = 3(x-7)
distribute
2x+16 = 3x-21
Subtract 2x from both sides
2x+16-2x = 3x-21-2x
16 = x-21
Add 21 to both sides
16+21 = x-21+21
add brackets to make this statement correct:
7-5-3+4=9
Answers
Answer:
7-5+3+4=9
7-5=2+3=5+4=9
Clark made four of his truck payments late and was fined four late fees. The total change to his savings from late fees was −$48. How much was one late fee??
Answers
Answer:
$12
Step-by-step explanation:
His 4 late fees took -48 so I just divided the amount to the number of fees
What is 5350 in scientific notation?? (Thank you so much for the help!)
Answers
Answer:
5.35x10^3
Step-by-step explanation:
write the following rational numbers in their lowest terms:
1. 24/192
2. 12/168
3. 21/49
Answers
Answer:
The Answer is gonna be 1. 24/192
Answer:
24/192 = 1/8
12/168 = 1/14
21/49 = 3/7
Step-by-step explanation:
find the hypotenuse if the base is 300 and altitude is 400
Answers
Answer:
okAy
Step-by-step explanation:
hypo(square) = altitude(square)+base,(square)
so hypo(square) =300(square)+400(square)
Answer:
500
Step-by-step explanation:
300² + 400² = 500²
pythagorean theorem
The data below are the gestation periods, in months, of randomly selected animals and their corresponding life spans, in years. Use the regression equation to predict the life span, y, for a gestation period of 6 months, x. Assume the variables x and y have a significant correlation. Gestation, x 8 2.1 1.3 1 11.5 5.3 3.8 24.3 Life span, y 30 12 6 3 25 12 10 40
Answers
Answer:
For a gestation period of 6 months, the life span is 15.
Step-by-step explanation:
Gestation(months) x 8 2.1 1.3 1 11.5 5.3 3.8 24.3
Life span (years) y 30 12 6 3 25 12 10 40
y =? x= 6 months
Assuming the variables x and y have a significant correlation
Graphing the data on a spreadsheet
Using the linear equation obtained
y = 1.5229*x + 6.3425
x=6
y = 1.5229*6 + 6.3425
y = 15. 5
HELP HELP HELP ME OUT PLEASE WHATS THE ANSWER TO THIS YOU'LL GET 50+ BRAINLIEST POINTS PLEASE ANSWER CORRECTLY
Answers
(MATH) (6) ((PHOTO))
label is yd
Answers
Answer:
L = 8yd
Step-by-step explanation:
Volume of a rectangular prism = L × W × H
L×5¾yd×2½yd = 115 yd³
14⅜L = 115
L = 115 ÷ 14⅜
L= 8
Someone help need this to pass last question for today!
Answers
Answer: Reflection=simply flipping an object across a line without changing its size or shape. While Translation just slide a figure in any direction without changing its size, shape or orientation.
Hopes that helps have a blessing day/night :)
kim is paid £9.40 per hour for the first 35 hours she worked each week
after 35 hours she is paid at one and a quater times the hourly rate
calculate how much she is paid for that week
Answers
Answer:
after 35 hours she makes 11.75 an hour
Step-by-step explanation:
Wesley walked 11 miles in 4
hours.
If he walked the same distance every hour,
how far did he walk in one hour?
Write your answer:
Using a whole number of miles and a whole number of feet
Answers
Answer:
3 miles
58080 feet
Step-by-step explanation:
Is (1,2) (1,3) (1,4) a function?
Answers
Answer:
yes
Step-by-step explanation:
Sunny Horizon Cellular’s phone plan has a monthly fee of $10.00 and charges $0.10 for every minute used. Stephan’s bill for the month was $23.80. If the equation that models this situation is (0.10)m + 10.00 = 23.80, use inverse operations and properties of equality to find the number of minutes Stephan talked during the month.
Answers
0.10m = 13.80
m=13.80/0.10
m = 138 minutes
Answer:
She talked for 138 minutes
Step-by-step explanation:
PLEASE PLEASE PLEASE
Answers
Answer:
C
Step-by-step explanation:
30 x 60 x 70 = 126,000
90 x 60 x 30 = 288,000
288,000 + 126,000 = 288,000cm^3
Answer: 288,000 [tex]cm^{3}[/tex]
Step-by-step explanation:
first, break down the shape thingy into two different shapes. there's more than one way to do it, but i'll be cutting the shape horizontally at the corner of the L shape (where the 40 cm and 90 cm lines connect)
small prism dimensions: 60 x 30 x 40 = 72,000
large prism dimensions: (30+90) x (70-40) x 60 / 120 x 30 x 60 = 216,000
add them to get 288,000 [tex]cm^{3}[/tex]
please helppp with this questions
Answers
Answer:
Sorry for the wait.
Step-by-step explanation:
5. the two bottom angles are the same btw
[tex]2x+2x+x-15=180\\5x-15=180\\5x-15+15=180+15\\5x=195\\5x/5=195/5\\x=39[/tex]
6. straight lines are 180
[tex]3x+17+x-9=180\\4x+8=180\\4x+8-8=180-8\\4x=172\\4x/4=172/4\\x=43[/tex]
7. another 180
[tex]2x-4+3x+5+2x+11=180\\7x-10=180\\7x-10+10=180+10\\7x=190\\7x/7=190/7\\x=27.14\\[/tex]
8. 90 degree angle
[tex]x+x+4+3x-9=90\\5x-5=90\\5x-5+5=90+5\\5x=95\\5x/5=95/5\\x=19[/tex]
helppp meee plssssss
Answers
Answer:
[tex]y\leq -6[/tex]
Step-by-step explanation:
[tex]\frac{1}{2}y \leq -3[/tex]
Our inequality requires first to solve for y.
To solve for a variable, we must isolate it.
In this case, first, we can multiple by the inverse of the fraction which is 2.
[tex]\frac{1}{2}y\leq -3\\[/tex]
[tex]2(\frac{1}{2}y)\leq -3(2) \\[/tex]
1*y=y and -3*2=-6
So our inequality stands like this -
[tex]y\leq -6[/tex]
When graphing, it must look like this:
How many 3/4 cup servings are in 1/2 cup of yougurt? Simplest fraction form
Answers
Answer:
2/3 serving
Step-by-step explanation:
(1/2)/(3/4) = 1/2 x 4/3 = 4/6 = 2/3 serving
Please help I’ll mark you as brainliest if correct!
Answers
Answer:
D. 50.24
Step-by-step explanation:
The circumference based on the diameter of 16 is 50.27. Since its asking for the closest I would believe its D. :) hope this helps
Jessica records the number of winners at a Dunga teacher booth at the town fair as shown in the table if there is 750 contestants on Monday how many should Jessica expect to a Dunka teacher
Answers
Please explain step by step I dont get it.
Answers
Answer:
Step-by-step explanation:
What's the question?
This is a linear function that shows the longer the pipe the more it weighs.
(156 - 130) pounds / (24 - 20) inches = 26 ponds / 4 inches
or 4.5 pounds/inch
Is 35.336 an irrational number?
yes or no
Answers
Answer:
No
Step-by-step explanation:
Hello, 35.336 is would not be an irrational number because irrational numbers are messy numbers that go on forever like 3.14159..... A rational number is a number with clean numbers like 1.222222....., 35.336, ect. I hope this helped you!
The mark up on an item is $3.75. If the mark up is 35%, what was the original price? Round
your answer to the nearest hundredth. (Show all work)
Answers
Answer:
$10.71
Step-by-step explanation:
[tex]\frac{3.75}{y} =\frac{35}{100}[/tex]
y × 35 = 3.75 × 100
35y = 375
35y ÷ 35 = 375 ÷ 35
[tex]y=10\frac{5}{7}[/tex]
y = 10.7142857143
10.7142857143 round to 10.71
Can someone please help me with my homework its due in two hours!!!!!! Please i need it done soon.
Answers
Answer:
see explanation
Step-by-step explanation:
so, when a=-3, c is -20. now, to find b when a is -3, plug a (which is -3) into the equation b=4a-5 to get b=-17. so b=-17, c=-20. b is obviously larger (remember the negative sign)
when c is 21, a is 5. plug numbers in to get b=15.
when a is 6, there is no clear value for c, so i'd guess undefined. b however is 19
we can plot the line and the points, for problem 4 and all points above the line means that c is greater than b, and when below it's less than. doing this we get when a is 12, when a is 0, and when a is 5. hope this was clear
1
1 unit
Area of the rectangle:
Area of the triangle:
Area of the figure:
O square
units
square units
square units
Answers
what is the difference between Whole numbers and Natural numbers
Answers
Answer:
Whole no includes positive as well as negative integer but Natural numbers includes positive integer .
