Use a calculator to find the lengths x and y of the legs of the right triangle shown
Answers
Answer:
y = 0.47
x = 0.91
Step-by-step explanation:
From the right angled triangle Given :
Applying trigonometry :
To Obtain y :
We use :
Tan θ = opposite / hypotenus
Tan 25 = y / 1
y = 1 * tan 25
y = 0.4663076 * 1
y = 0.47
For x :
We use :
Cosθ = adjacent / hypotenus
Cos 25 = x / 1
0.9063077 = x / 1
x = 0.9063077 * 1
x = 0.9063077
Hence, x = 0.91
Related Questions
need help will give brainiest
Answers
Answer:
1. Triangles HIJ and KML
2. Triangles RST and YXZ
3. Reflexive property and Congruent Property
Step-by-step explanation:
Step-by-step explanation:
for 1 and 2 to find which ones are congruent you have to look at the lines on the angles which show congruence
Which set of angle meausres would determine a triangle
Answers
Answer:
180 degrees
Step-by-step explanation:
HELP ASAP
I NEED HELP
Answers
Answer:
1;27
Step-by-step explanation:
Which is a chord of circle P?
Answers
Answer:
QR
Step-by-step explanation:
A chord is a line that joins two points on the outside of the circle
QR and KL are chords
A triangle has sides 12, 35, and 37. Identify whether the triangle is right, acute, or obtuse.
Answers
Answer:
Right triangle
Step-by-step explanation:
Using pythagorean theorem,
[tex]c^2 = a^2 + b^2\\37^2 = 12^2 + 35^2 \\1369 = 144 + 1225\\1369 = 1369[/tex]
Hence satisfied. So it is right triangle.
Jim wants to buy an electric saw marked $98.00. If the salesperson offers him a discount of 15%, how much will he have to pay for the saw?
Answers
Answer:
$83.30
Step-by-step explanation:
Find how much he will have to pay by multiplying the price by 0.85, since this will calculate what 85% of the price is (with the 15% discount):
98(0.85)
= 83.3
So, he will have to pay $83.30 for the saw
write an equivalent expression: −12(−2x+4y)
Answers
Answer:
24x-48y
hope this helps
have a good day :)
Step-by-step explanation:
Step-by-step explanation:
−12(−2x+4y) = 24x - 48y
______
Help me please I am not sure about the answer
Answers
Answer:
(a)
[tex] {x}^{2} + 2x \\ = x(x + 2)[/tex]
(b)
[tex]2 {x}^{2} - 6x \\ = 2x(x - 3)[/tex]
(c)
[tex]15x - 10 {x}^{3} \\ = 5x(3 - 2 {x}^{2} )[/tex]
(d)
[tex]9 {x}^{2} + 3 {x}^{3} \\ 3 {x}^{2} (3 + x)[/tex]
The number of Internet users in Latin America grew from 25.8 million in 2009 to 70.6 million in 2016. Use the geometric mean to find the annual growth rate. (Round your answer to 2 decimal places.)
Answers
Answer:
the annual growth rate is 15.47 %
Step-by-step explanation:
Given the data in the question;
Internet users grew from 25.8 million to 70.6 million,
from the year 2009 to the year 2016.
Using geometric mean, Annual growth rate = ?
To determine the average growth rate of a time series using geometric mean, we use the following formula;
[tex]r_{geo[/tex] = [ [tex]([/tex] Xₙ / X₀ [tex])^{\frac{1}{n}[/tex] ] - 1
where Xₙ is the data value of the last year { 70.6 million }
X₀ is the data value for the first year { 25.8 million }
n is the sample size or the time difference, ( 2016 - 2009 = 7 )
so we substitute;
[tex]r_{geo[/tex] = [ [tex]([/tex] 70.6 / 25.8 [tex])^{\frac{1}{7}[/tex] ] - 1
[tex]r_{geo[/tex] = [ [tex]([/tex] 2.736434 [tex])^{\frac{1}{7}[/tex] ] - 1
[tex]r_{geo[/tex] = [ 1.15466 ] - 1
[tex]r_{geo[/tex] = 0.15466
[tex]r_{geo[/tex] = ( 0.15466 × 100 )%
[tex]r_{geo[/tex] = 15.47 %
Therefore, the annual growth rate is 15.47 %
Area of the circle 42 m round nearest hundred
Answers
Answer:
Using the formula
A
=
π
r
2
Solving for
r
r
=
A
π
=
42
π
≈
3.65637
If you reject a joint null hypothesis using the F-test in a multiple hypothesis setting, then: A) a series of t-tests may or may not give you the same conclusion. B) the regression is always significant. C) all of the hypotheses are always simultaneously rejected. D) the F-statistic must be negative. Answer: A
Answers
Answer:
A) a series of t-tests may or may not give you the same conclusion
Step-by-step explanation:
F test is a statistical test, used for testing overall significance in a regression model. It denotes, how well - multiple explanatory (or independent) variables in a regression model effect the variation in dependent variable.
Rejecting a f test implies that - the set of multiple explanatory (or independent) variables 'jointly' effect the dependent variable significantly. However the individual independent variables might or might not effect dependent variable (independently) significantly.
So, the individual t tests might or might not give same conclusion.
Move the values to the boxes to complete the inequality statement.
5<____<7<____<9____<11
Helppp
Answers
Answers:
first blank = not sure (see explanation below)second blank = 3*sqrt(6)third blank = 3pi============================================================
Explanation:
Use your calculator to compute 3*sqrt(6) = 7.348469 which is approximate.
We can see that 3*sqrt(6), aka 7.348469, is between 7 and 9
Do the same for 3pi to get 3pi = 9.424778 approximately. So this goes between 9 and 11
As for the first blank, between 5 and 7, it seems like an answer choice is missing. So I would ask your teacher about that. If your teacher meant it to be left blank, then just ignore it.
NO LINKS PLS HELP MMEEE
Answers
Answer:
4. 84.82 6. 7238.23 5. 1415.81 7. 1570.8
Step-by-step explanation:
Answer:
4. 254.47ft^3
5. 4247.43yd^3
6. 21714.69 in^3
7. 4712.39 ft^3
hope this helps
have a good day :)
Step-by-step explanation:
Evaluate the expression when x=7 and y=-3. x2+2y
Answers
Answer:
Step-by-step explanation:
x = 7, y = -3 2x + 2y
2 (7) + 2 (-3) = 14 - 6 = 8
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\boxed{\mathsf{x^2 + 2y}}\\\large\boxed{\mathsf{= 7^2 + 2(-3)}}\\\large\boxed{\mathsf{= 7\times7 + 2(-3)}}\\\large\boxed{\mathsf{= 49 + 2(-3)}}\\\large\boxed{\mathsf{= 49 - 6}}\\\large\boxed{= 43}\\\\\\\huge\boxed{\text{Therefore, your answer: \boxed{\mathsf{43}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
A class of 36 students is going on a field trip. They will take 4 buses. Each bus will have the same number of students. How many students will be on each bus?
Answers
Answer:
144
I hope that helped!
QUICK GIVING BRAINLIEST TO CORRECT ANSWER
Answers
Answer:
Step-by-step explanation:
Top and bottom
Area = L*W
L = 4
W = 2
Area = 4 * 2 = 8
But there are two of them (2 * 8) 16
Left and right
Area = L * W
L = 3
W = 2
Area = 2 *3 = 6
But there are two of them 12
From back
L*W = 4*3
But there are two of them 24
Total 52
1.
a. Find the lengths of the unlabeled sides.
Answers
Answer:
The first one-6.324 (This number actually goes on forever), The second one-10
Step-by-step explanation:
1- (6*6)+(2*2), 36+4, 40, 40 unsquared=6.324
2- (8*8)+(6*6), 64+36, 100, 100 unsquared=10
Can somebody tell me the answer for this one
Answers
From your position at (0,0), you measure a vehicle at (8,5). The vehicle is driving an equal
amount both North and East away from you. After some time, you measure the vehicle's
position and notice that the angle the vehicle made with you has increased by 8 degrees. Let x
be the distance traveled away from you in both the North and the East direction. Solve for the
value of x.
a) X = 5.5
b) X = 10.6
c) X = 12
d) X = 7.6
Answers
Answer:
Line goes 11.2583303 meters in the x direction (east) and 7.5 meters in the y direction (north) .
Step-by-step explanation:
i hope i help have a great day :))
You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately 73%. You would like to be 95% confident that your estimate is within 4% of the true population proportion. How large of a sample size is required
Answers
Answer:
A sample size of 474 is required.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
Based on previous evidence, you believe the population proportion is approximately 73%.
This means that [tex]\pi = 0.73[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
How large of a sample size is required?
A sample size of n is required, and n is found when M = 0.04. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.04 = 1.96\sqrt{\frac{0.73*0.27}{n}}[/tex]
[tex]0.04\sqrt{n} = 1.96\sqrt{0.73*0.27}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.73*0.27}}{0.04}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.73*0.27}}{0.04})^2[/tex]
[tex]n = 473.24[/tex]
Rounding up:
A sample size of 474 is required.
mark wants to fence 4 rectangular gardens with a length of 9 1/4 amd a width of 4 1/2 what is the total length of fenceing mark needs to surround all four gardens
Answers
Step-by-step explanation:
length of each rectangle= 9 1/14=127/14
breadth of each rectangle=5=4 1/2= 9/2
so perimeter of 1 rectangle= 2(l+r)
=2(127/14+ 9/2)
=2(127+63)/14
=2×190/14
=190/7
=27.14 feet
so total length of fencing= 4×27.14
=108.57 feet
hope you understand the solution and good luck!!
i need help ive been stuck on these questions
Answers
An investment of $8500 increases in value by 4.5% every year. How long until the investment
reaches about $17,323. Round to the nearest whole year
Answers
Answer:
16 years
Step-by-step explanation:
Given data
Principal= $8500
Rate= 4.5%
Final amount= $17,323
The expression to find time in compound interest is given as
t= ln(A/P)/r
substitute
t= ln(17323/8500)/0.045
t= ln(2.038)/0.045
t=0.711/0.045
t= 15.8 years
Hence the total time is about 16 years
I need to know this question asap
Answers
Answer:
.
Step-by-step explanation:
(1.2 x 10^4)+(2.5 x 10^3)
Answers
2) 2.5 x 10^3= 2500
3) 12000+2500
= 14500
Select the correct answer.
Which function is the inverse of function
f(x) = -2
Answers
Answer:
B
Step-by-step explanation:
let f(x) = y and rearrange making x the subject
y = [tex]\frac{x+2}{7}[/tex] ( multiply both sides by 7 to clear the fraction )
7y = x + 2 ( subtract 2 from both sides )
7y - 2 = x
Change y back into terms of x with x the inverse function, that is
p(x) = 7x - 2
PLEASE TELL ME THE VALUE
Answers
Answer:
Hello! answer: there are 7 quarters which are worth 25 cents each 6 dimes which are worth 10 cents each
there are 5 nickels which are worth 5 cents each and there are 8 pennies which are worth 1 cent each
the total value off all of these together is $2.68
Jamie had some money in her wallet. She bought french fries for $1.40. She then bought a hamburger for $2.25. Now she has $0.35 left.
How much money did she have to start
Answers
Answer:
4 Dallas
Step-by-step explanation:
you add how much for the fries and the hamburger the add how much she add left then you will get the amount of money she start with
Give the exact value of the trigonometric function below:
sin (45)
Answers
firstable its not 45
its sin(-240)=sin(60)
sin(60)=√3/2
sin45=√2/2
For the following set of data, find the population standard deviation, to
the nearest thousandth.
45, 30, 35, 20, 21, 46, 16, 37
Answers
=====================================================
Explanation:
Before we can find the standard deviation, we need to find the sample mean which is xbar.
Xbar is found by adding up the values and dividing by n = 8 since there are 8 values in this data set
xbar = (sum of values)/n
xbar = (45+30+35+20+21+46+16+37)/8
xbar = 31.25
Refer to the spreadsheet table below in the attached image. The first column is the column of x values, which is the data set given to us. The next column over is the expression x-xbar, which will have us subtract xbar from each data value.
Example: x-xbar = 30-31.25 = -1.25 in row 2
From there, we square everything in that second column to form the third column. Adding everything in that third column results in the yellow highlighted value 919.5
---------------
The next step is to divide that over n = 8 to get 919.5/n = 919.5/8 = 114.9375
This is the population variance. Apply the square root to get the population standard deviation
sqrt(variance) = sqrt(114.9375) = 10.7208908
which is approximate. This rounds to 10.721
---------------
Note: if you wanted the sample standard deviation, then you'd divide by n-1 = 8-1 = 7. However, the other steps mentioned are identical.