Answers
Answer:
θ ≈ 50.1°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cosθ = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{61}{95}[/tex] , then
θ = [tex]cos^{-1}[/tex] ( [tex]\frac{61}{95}[/tex] ) ≈ 50.1° ( to the nearest tenth )
Related Questions
Find the slope of the table.
Answers
Answer:
Slope= -4
Step-by-step explanation:
Slope is rise over run (y over x)
So, looking at the table, you can see that every time the y values went down by 8, the x values went up by 2.
So, the slope can be written as:
-8/2
Simplified to -4/1 or just -4
This is not urgent, so thank you even if you don’t help.
Answers
Answer:
(1/2) and 9/10
Step-by-step explanation:
[tex]\dfrac{1}{2}+\dfrac{9}{10}=\dfrac{1*5}{2*5}+\dfrac{9}{10}\\\\\\=\dfrac{5}{10}+\dfrac{9}{10}\\\\=\dfrac{14}{10}\\\\=\dfrac{7}{5}\\\\=1\dfrac{2}{5}[/tex]
Jacob was out at a restaurant for dinner when the bill came. His dinner came to $18. After adding in a tip, before tax, he paid $20.70. Find the percent tip.
Answers
Answer:
The answer is 2.70
Step-by-step explanation:
18+2.70= 20.70
20.70-2.70=18
Last week, Pauline worked 35 hours and made $280. The boss at Pauline’s company makes $600 a week. How many hours would Pauline need to work to make $600?
Answers
Pauline needs to work for 75 hours to make $600
Given that Pauline worked 35 hours and made $280, this can be written as:
35 hours = $280
If Pauline’s company makes $600 a week, this can be expressed as:
x = $600
35/x = 280/600
35/x = 28/60
28x = 35 * 60
28x = 2100
x = 2100/28
x = 75
This means that Pauline needs to work for 75 hours to make $600
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Answer:
Step-by-step explanation:
Paul and Kelly are throwing darts at the hexagonal dartboard shown below. Paul told Kelly that if they throw darts at the board 100 times, of them should hit a 5.
If the prediction holds true, approximately how many times would their darts hit a 5?
Answers
Shown & Given:
The dartboard holds 5 in the maximum space.
Known:
Out of 100, it is know that they will hit 5 more than 50 times.
Possible Answers:
55, 66, or 77.
The most likely one is:
66
The base of a triangle is 13 cm rounded to the nearest integer.
The perpendicular height of the triangle is 4.7 cm rounded to 1 dp.
Write the error interval for the area, a, of the triangle in the form m ≤ a < n.
Answers
Answer:
30.55 <_ a < 30.55
Step-by-step explanation:
a = 1/2 × b × h
a = 1/2 × 13 × 4.7
a = 30.55 cm^2
30.55 <_ a < 30.55
Please help asap and please no links or answering just for points!! I’m already stressed :(
Answers
Answer:
let the number be x
wo a/q we have,
4x + 5 = 7
hope this answer helps you dear! take care
What is a standard form equation of the line through (0,-3) with slope 2/5?
Answers
Answer:
-1 = -1
Step-by-step explanation:
y = mx + b
y=-3 x=0 and m=2/5
-3 = (2/5)0 + b
Since 2/5(0) is 0, b must be -3.
So the equation is y = (2/5)x - 3
Add the slope to the given point and you get (5, -1)
-1 = (2/5) 5 - 3
-1 = 2 - 3
-1 = -1
An infant drinks about 30 ounces of milk per day. About how many quarts of milk does the baby drink in 4 weeks
Answers
Answer:
840 Ounces
Step-by-step explanation:
4 weeks has 28 days. { 4 * 7 = 28 }
because an infant eats about 30 ounces of milk per day.
So 30 * 28 = 840 ounces
The baby drank about 840 ounces in 4 weeks.
The number of quarts of milk drank by baby in 4 weeks is 26.25 quarts.
Given that, an infant drinks about 30 ounces of milk per day.
What is metric conversion?Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.
Here, number of days in 4 weeks = 4×7
= 28 days
Number of ounces of milk drank by infant
= 28×30
= 840 ounces
We know that, 32 ounces = 1 quarts
So, 840 ounces = 840/32
= 26.25 quarts
Therefore, the number of quarts of milk drank by baby in 4 weeks is 26.25 quarts.
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Differentiate y = csc(x)cot(x).
Answers
Answer:
[tex]\displaystyle y' = - \csc (x) \big[ \cot^2 (x) + \csc^2 (x) \big][/tex]
General Formulas and Concepts:
Algebra I
Terms/Coefficients
FactoringFunctions
Calculus
Differentiation
DerivativesDerivative NotationDerivative Rule [Product Rule]: [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]
Step-by-step explanation:
Step 1: Define
Identify.
[tex]\displaystyle y = \csc (x) \cot (x)[/tex]
Step 2: Differentiate
Derivative Rule [Product Rule]: [tex]\displaystyle y' = \frac{d}{dx}[\csc (x)] \cot (x) + \csc (x) \frac{d}{dx}[\cot (x)][/tex]Trigonometric Differentiation: [tex]\displaystyle y' = - \csc (x) \cot (x) \cot (x) + \csc (x) \big[ - \csc ^2 (x) \big][/tex]Simplify: [tex]\displaystyle y' = - \csc (x) \cot^2 (x) - \csc^3 (x)[/tex]Factor: [tex]\displaystyle y' = - \csc (x) \big[ \cot^2 (x) + \csc^2 (x) \big][/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
If the confidence interval and hypothesis test both used the same data, how did they come up with different standard errors
Answers
Confidence intervals and hypothesis testing share the characteristic that they are both inferential techniques
Confidence intervals and hypothesis tests are similar in that they are both inferential methods that rely on an approximated sampling distribution.
What is confidence interval?
Data from a sample is used to estimate a population parameter using confidence intervals. Data from a sample is used in hypothesis testing to examine a given hypothesis. It is possible that occasionally, when the hypothesis produces a non-significant result, the confidence interval will exclude the value specified under the null hypothesis because the standard error used to calculate the confidence interval is different from the standard error used in hypothesis testing.
We use the standard error of the mean to show the degree of uncertainty surrounding the estimation of the mean measurement. Most helpful for calculating a confidence interval is the standard error.
Hence , Confidence intervals and hypothesis tests are similar in that they are both inferential methods that rely on an approximated sampling distribution.
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need help with homework please help asp
Answers
Answer:
The answer for this particular question is (5,-8)
7x-15y=2 , x+2y=3 By subtition method
Answers
Answer:
([tex]\frac{49}{29},\frac{19}{29}[/tex])
Explanation:
7x - 15y = 2 (1)
x + 2y = 3 (2)
x + 2y = 3
x + 2y - 2y = 3 - 2y
x = 3 - 2y (3)
Substitute (3) to (1)
7x - 15y = 2
7(3 - 2y) - 15y = 2
21 - 14y -15y = 2
21 - 21 - 29y = 2 - 21
-29y = -19
y = [tex]\frac{19}{29}[/tex] (4)
Plug (4) into (2)
x + 2y = 3
x + 2[tex]\frac{19}{29}[/tex] = 3
x + [tex]\frac{38}{29}[/tex] = 3
x = 3 - [tex]\frac{38}{29}[/tex]
[tex]x = \frac{87}{29}-\frac{38}{29} =\frac{49}{29}[/tex]
([tex]\frac{49}{29},\frac{19}{29}[/tex])
answer this question. (5.6)(1.8)
Answers
I need help with this pls
Answers
Answer:
what is the imaginary part of 84-25i
Step-by-step explanation:
the result is -25i
I hope I've helped
Frank wants to be an astronaut when he grows up. Last weekend, the science center had an interactive space station exhibit. Frank bought a 3-day pass so he could go every day. Since he bought a multiday pass, he saved $10. Frank paid $56 in all. How much does a day at the science center normally cost?
Answers
what is 5/11 closest too
Answers
Answer:
__
0.45
__
__ means it's on-going, so 0.45454545
helpppppp plzzzzzz is fue today
Answers
Answer:
a) 3
Step-by-step explanation:
that's the correct answer
Lucy deposits $200 into an account that pays simple interest at a rate of 3% per year. How much Interest will she be paid in the first 3 years?
Answers
Answer:
$16.48
Step-by-step explanation:
Split this up into the four years.
For the first year, multiply 200 x .02 to get 4
Add 4 onto your total. ($204.00)
For the second year multiply 204 x .02 to get 4.08
Add 4.08 onto your total. ($208.08)
For the third year multiply 208.08 x .02 to get 4.1616 but round to 4.16
Add 4.16 onto your total ($212.24)
For the fourth year multiply 212.24 x .02 to get 4.2448 but round to 4.24
Add 4.24 onto your total (216.48)
Now subtract 200 from your total
216.48-200 = 16.48
She will be payed $16.48 in interest.
Solve 2x^2 + 5x – 3 = 0
Answers
Answer:
Step-by-step explanation:
9 (4x - 6) = 2(-3 - 2x)
Answers
[tex]9(4x-6) = 2(-3-2x)\\\\\implies 36x - 54 = -6-4x \\\\\implies 36x +4x = 54 -6 \\\\\implies 40x = 48\\\\\implies x = \dfrac{48}{40} = \dfrac{6}5[/tex]
Which coordinate pair is outside the circle and inside the rectangle as shown below? 10 9 8 o in N 6 5 2 0 1 2 3 4 5 6 7 8 9 10 O (5,3) O (6,3) O (6,6) O (5,5)
Answers
Mike has $84 less than three times as much as Dave. Together they have $132. How much money does Mike have? I have to use either the strategy of elimination or substitution to solve this. I realize that the first equation is m + d = 132. But I don’t get what the second equation should be!
Answers
Answer:
D+M=132?
Sorry if this is not helpful. I tried my best
3/4+4y÷3;y=1 1/22 please help
Answers
Answer:3
4
+
4
(
y
3
)
.
3
4
+
4
(
y
3
)
=
4
y
3
+
3
4
y
=
11
22
=
=
1
2
Step-by-step explanation: :)
Can some one help me
Answers
Answer:
16.95
Step-by-step explanation:
because when you add 14.95 and 2 together you get 16.95
Answer:
Step-by-step explanation:
Area of Big circle = πr² = 3.14 * 6.5*6.5 = 132.67 cm²
Area of small circle = 3.14 * 2.3*2.3 = 16.61 cm²
Area of shaded region = area of big circle - area of small circle
= 132.67 - 16.61 = 116.06 cm²
A box has 11 marbles, 3 of which are white and 8 of which are red. A sample of 4 marbles are selected randomly from the box without replacement. What is the probability that exactly 2 are white and 2 are red
Answers
14/99
Select 1 marble; the chance that it is white is 4/12. Select a 2nd marble; the chance that it is white is 3/11. Select a 3rd; the chance it is white is 2/10. Select a 4th; the chance it is red is 8/9. Select a 5th; the chance it is red is 7/8. The chance of getting this specific set of 5 marbles in this order is (4/12)×(3/11)×(2/10)×(8/9)×(7/8)=(2×7)/(11×10×9).
This specific set could occur in the permutation of 5 things taken 5 at a time where 3 are identical (white), and the other 2 are also identical (red). The formula for this is 5!/(3!2!)=10.
Combining the chance of getting white, white, white, red, red with the number of ways 3 white and 2 red could have been distributed in the draw of 5 marbles gives the answer:
{(2×7)/(11×10×9)}×10=14/99
A similar process will show that the chance of getting 5 red marbles is 7/99; 4 white and 1 red is 1/99; 2 white and 3 red is 42/99; and 1 white and 4 red is 35/99.
20% tip on a bill of $22.41
Answers
Answer:
5 people - Tip per person = $0.90
Total per person = $5.39
10 people - Tip per person = Tip per person $0.45
Total per person = $2.70
Answer: the answer is $4.49 because if your bill is 22.41 and you divide that by 20 its 4.482 so then you add the 2 to the 8 which is 9 so 4.49
Rewrite the equation by completing the square.
x? - 8x + 7 = 0
(x + __)^2 = 0
Answers
Answer:
(x - 4)² - 9 = 0
Step-by-step explanation:
x² - 8x + 7 = 0
To complete the square
add/subtract ( half the coefficient of the x- term)² to x² - 8x
x² + 2(- 4)x + 16 - 16 + 7 = 0
(x - 4)² - 9 = 0
Mr smith’s Pizza parlor
Answers
The questions are not readable. try uploading a better picture.
The slope of the line that passes through the points (0,3) and (5,13) is
Answers
Answer: The slope is 2
Step-by-step explanation:
The slope is the Rise (the change in y) over the Run (the change in x).
We can calculate the Rise and Run from the two given points:
(0.3) and (5,13)
Rise = (13 - 3) = 10
Run = (5 - 0) = 5
Rise/Run = 10/5 = 2: the slope is 2.
The equation for this line is y = 2x + b. The y-intercept, b [from the general form y=mx+b (where m is the slope)] is the value of y when x=0. The point (0,3) says y=3 when x=0, so b = 3.
y = 2x + 3.