Answer:
75 degrees
Step-by-step explanation:
Complementary angles equal 90 degrees together. That is the case with angle X and Y. Set an equation to describe the situation.
Y=1/5X
X=5Y
Now, set another equation:
X+Y=90
Substitute the first equation into the second one.
5Y+Y=90
6Y=90
Y=15
Substitute this once again:
X+15=90
X=75
Determine which equation has the same solutions as the given equation.
x – 10k- 11=0
O A. (x-10)2 = 36
B. (x - 10)2 = 21
OC. (x - 5)2 = 21
OD. (x - 5)2 = 36
Answer:
D
Step-by-step explanation:
Find the lateral surface 14ft area of the 2ft cylinder. Round your answer to the nearest tenth if necessary.
Answer:
616 square feet
Step-by-step explanation:
Lateral surface area of a cylinder can be determined by;
Lateral surface area = 2[tex]\pi[/tex]rh
where: r is its radius, and h is its height.
Given in the question that the height of the cylinder is 14 feet and of radius 2 feet, then;
Lateral surface area = 2[tex]\pi[/tex]rh
= 2 x [tex]\frac{22}{7}[/tex] x 2 x 14
= 2 x 22 x 2 x 7
= 616
Lateral surface area = 616 square feet
Thus, the lateral surface area of the cylinder is 616 square feet.
Write the equation in slope-intercept form.
8y - 3x = 16
A.Supplementary
B.None
C.Complementary
D.Vertical
Answer:
A. the answer is supplementary
Find the area of the following shapes.
Area of small rectange = 7 cm × 4 cm = 28 cm sq
Area of bigger rectangle = 4cm×10 cm = 40 cm sq
Area of traingle = 1/2 × 8*3 cm sq = 12 cm sq
total area of polygon = ( 28 + 40 + 12 ) cm sq
area of polygon = 80 cm sq
A graph of is shown on the grid.
What are the zeros of f?
Answer:
no graph is provided, the zeros of f cannot be found without a graph
Step-by-step explanation:
Please i need help ASAP
What is the range?
Answer:
your range is -9 to positive 5
Step-by-step explanation:
range is how many numbers are in a squence for example i have 1 2 3 so my range is 1-3
What is the arc length of the shaded region of the circle to the newest centimeter?
Please help me i dont understand this
Answer:
209.3
Step-by-step explanation:
V=πr^2h / 3
= 3.14 x 25 x 8 /3
= 209.3
If you can help, u r much appreciated : )))
I'm so sorry i wud help you but unfortunately I can't see the question fully!
Answer:
Is that all it tells you because I see no information to help answer the question
I see "month" and I see "Number of movie"
Pls pls pls answer I need this done before 10;50
Answer:
1/12
Step-by-step explanation:
The radius of a circle is 6 m. Find its area in terms of π.
Answer:
A=πr^2
22/7×6×6
=113 1/7
write an equation of the line in slope-intercept form of each line given slope and y intercept m=2;b2
Answer:
[tex]y = 2x + 2[/tex]
Step-by-step explanation:
Given
[tex]m = 2[/tex]
[tex]b = 2[/tex]
Required
Write equation in slope intercept form
An equation in slope intercept form is:
[tex]y = mx + b[/tex]
Substitute values for m and b
[tex]y = 2x + 2[/tex]
Does anyone wanna play iMessage games
yessss
lets
play
rn!!!!!!
Find the mean of 9,5,10 graphically will mark Brainliest if correct ( no files or links)
Answer:
the answer to the question is 8
BRAINLIEST TO CORRECT
Answer:
4519.5
Step-by-step explanation:
so sorry if that's not correct.
Caden earn a total of $10 for two hours of yardwork. After join a total of three hours of yard work, how much money will Kayden have earned? Assume the relationship is directly proportional.
Answer:
$25
Step-by-step explanation:
Its $5 dollars for each hour so, the two hours together are $10. With the 3 hours Caden did, he earned $25.
Answer: 25
then Step-by-step explanation: if 10 divided by 2 is five, ( 5$ an hour) then just add three more fives i think
write 20.5×10^-5 in standard form. please help
Answer:
the answer is 2.05×10^-4
27 is 72% of what number?
Answer:
37.5
Step-by-step explanation:
37.5 · 0.72 = 27
Answer:
37.5
Step-by-step explanation:
72%=0.72
0.72x=27
x=27/0.72
x=37.5
The sum of the measures
of the interior angles of
polygon is 2,880. How
many sides does the
polygon have?
Answer:
pretty sure its 18
Step-by-step explanation:
help me please. Very much appreciated
Answer:
A = 23.2 mm²
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here b = 8 and h = 5.8 , then
A = 0.5 × 8 × 5.8 = 4 × 5.8 = 23.2 mm²
Two people start biking from the same point. One heads east at 13 mph, the other south at 18 mph. What is the rate at which the distance between the two people is changing after 25 minutes and after 35 minutes? What is the rate at which the distance between the two people is changing after 25 minutes?
Answer:
[tex]22.21\ \text{mph}[/tex]
[tex]22.2\ \text{mph}[/tex]
Step-by-step explanation:
[tex]\dfrac{da}{dt}=13\ \text{mph}[/tex]
[tex]\dfrac{db}{dt}=18\ \text{mph}[/tex]
[tex]\dfrac{dc}{dt}[/tex] = Rate at which the distance between the two people is changing
At 25 minutes
[tex]a=13\times \dfrac{25}{60}=5.417\ \text{miles}[/tex]
[tex]b=18\times \dfrac{25}{60}=7.5\ \text{miles}[/tex]
[tex]c=\sqrt{5.417^2+7.5^2}\\\Rightarrow c=9.25\ \text{miles}[/tex]
Distance between the two people is
[tex]c^2=a^2+b^2[/tex]
Differentiating with respect to time we get
[tex]c\dfrac{dc}{dt}=a\dfrac{da}{dt}+b\dfrac{db}{dt}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{a\dfrac{da}{dt}+b\dfrac{db}{dt}}{c}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{5.417\times 13+7.5\times 18}{9.25}\\\Rightarrow \dfrac{dc}{dt}=22.21\ \text{mph}[/tex]
Distance between the two people is changing at a rate of [tex]22.21\ \text{mph}[/tex].
At 35 minutes
[tex]a=13\times \dfrac{35}{60}=7.583\ \text{miles}[/tex]
[tex]b=18\times \dfrac{35}{60}=10.5\ \text{miles}[/tex]
[tex]c=\sqrt{7.583^2+10.5^2}\\\Rightarrow c=12.95\ \text{miles}[/tex]
Distance between the two people is
[tex]c^2=a^2+b^2[/tex]
Differentiating with respect to time we get
[tex]c\dfrac{dc}{dt}=a\dfrac{da}{dt}+b\dfrac{db}{dt}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{a\dfrac{da}{dt}+b\dfrac{db}{dt}}{c}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{7.583\times 13+10.5\times 18}{12.95}\\\Rightarrow \dfrac{dc}{dt}=22.2\ \text{mph}[/tex]
Distance between the two people is changing at a rate of [tex]22.2\ \text{mph}[/tex].
. Government Waste In a Gallup poll 513 national adults aged 18 years or older who consider themselves to be Republican were asked, "Of every tax dollar that goes to the federal government in Washington, D.C., how many cents of each dollar would you say are wasted?" The mean wasted was found to be 54 cents with a standard deviation of 2.9 cents. The same question was asked of 513 national adults aged 18 years or older who consider themselves to be Democrat. The mean wasted was found to be 41 cents with a standard deviation of 2.6 cents. Construct a 95% confidence interval for the mean difference in government waste, mR - mD. Interpret the interval.
Answer:
Part A
The 95% confidence interval is approximately 12.66 ≤ [tex]m_R[/tex] - [tex]m_D[/tex] ≤ 13.34
Part B
We are 95% confident that the true difference in the mean amount of waste per dollar stated by the two categories of adults is larger than zero and it is approximately between 12.66 and 13.34
Step-by-step explanation:
Part A
The given parameters are;
The mean amount adults that consider themselves Republican say is wasted for every dollar, [tex]m_R[/tex] = 54 cents
The standard deviation of the statistics, s₁ = 2.9 cents
The number of respondents in the group, n₁ = 513
The mean amount adults that consider themselves Democrats say is wasted for every dollar, [tex]m_D[/tex] = 41 cents
The standard deviation of the statistics, s₂ = 2.6 cents
The number of respondents in the group, n₂ = 513
The F-test, F = s₁²/s₂² = 2.9²/2.6² = 1.244
The critical-t, t* = 1.962
F ≤ t*, therefore, we pool the data
[tex]s_p =\sqrt{\dfrac{\left ( n_{1}-1 \right )\cdot s_{1}^{2} +\left ( n_{2}-1 \right )\cdot s_{2}^{2}}{n_{1}+n_{2}-2}}[/tex]
[tex]s_p =\sqrt{\dfrac{\left ( 513-1 \right )\cdot 2.9^{2} +\left ( 513-1 \right )\cdot 2.6^{2}}{513+513-2}} = \sqrt{7.585}[/tex]
The 95% confidence interval is given by the following formula;
[tex]\left (m_R- m_D \right )\pm t^* \cdot s_p \cdot\sqrt{\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}}}[/tex]
The test statistic, is given as follows;
[tex]t = \dfrac{m_R - m_D}{s_p \times\sqrt{ \dfrac{1}{n_1} + \dfrac{1}{n_2}} }[/tex]
Therefore;
[tex]t = \dfrac{54 - 41}{\sqrt{7.585} \times\sqrt{ \dfrac{1}{513} + \dfrac{1}{513}} } \approx 75.598[/tex]
Given that the test statistic, t = 75.598 > The critical-t, t* = 1.962, we reject the null hypothesis, therefore, there is significant statistical evidence to suggest that there is a difference in the mean stated by the two sets
[tex]s_p =\sqrt{\dfrac{\left ( 513-1 \right )\cdot 2.9^{2} +\left ( 513-1 \right )\cdot 2.6^{2}}{513+513-2}} = \sqrt{7.585}[/tex]
[tex]C. I. = \left (54- 41 \right )\pm 1.962 \times \sqrt{7.585} \times \sqrt{\dfrac{1}{513}+\dfrac{1}{513}}[/tex]
The 95% confidence interval, C.I. ≈ 12.66 ≤ [tex]m_R[/tex] - [tex]m_D[/tex] ≤ 13.34
Part B
From the 95% confidence interval, we are 95% confident that the true difference in the mean amount adult who consider themselves Republicans say politicians waste and the true difference in the mean amount adult who consider themselves Democrats say politicians waste is between 12.66 and 13.34
Given that there is no '0' in the range of values in the 95% confidence for the difference in mean from the two groups, difference in the mean amount of waste per dollar observed by the two categories of adults.
please help ASAPPPPPPPPP
Answer:
++hhhhhhhhhhhhhhhhhh
(PLEASE HELP)
Given are the lengths of two sides of a triangle.Find the range of lengths for the third side.7 ft,13 ft
A.less than 6 but more than 20
B.more than 20 but less than 6
C.more than 6 but less than 20
Answer:
A.less than 6 but more than 20
PLEASE DONT WASTE MY POINTS ITS THE 5TH TIME POSTING
An economist calculates that the cost of living in Westminster is currently $44,000 per year and is increasing by 5% per year. What will the cost of living be in 20 years? Round to the nearest cent.
Given:
Initial cost of living = $44,000
Rate of increase = 5% = 0.05
To find:
The cost of living in 20 years.
Solution:
The exponential growth model is:
[tex]y=a(1+r)^t[/tex]
Where, a is the initial value, r is the growth rate and t is the number of years.
Putting [tex]a=44000,r=0.05, t=20[/tex] in the above model, we get
[tex]y=44000(1+0.05)^{20}[/tex]
[tex]y=44000(1.05)^{20}[/tex]
[tex]y=116745.099026 [/tex]
[tex]y\approx 116745.10 [/tex]
Therefore, the cost of living in 20 years is about $116745.10.
What are the solutions to the quadratic equation 2x2 - 8x-24 = 0?
A. X = -2 and x = 6
B. X=-3 and x = 8
C. X= -6 and x = 4
D. x= -4 and x = 6
Answer:
it is A . I hope its helpful
The square root of 17 is between the what two whole numbers? (just list them with a comma in between them.)
Answer:
17 lies between 16 and 25. So√17 lies between √16 and √25. The prime factorization method is used to write a square root of a non-perfect square number in the simplest radical form.
Answer:
The answer is 16,25
thx in advance for the help
Answer: [tex]x\geq 13[/tex]
Step-by-step explanation:
Given
The inequality is [tex]2x-7\geq 19[/tex]
adding both side 7
[tex]2x-7+7\geq 19+7\\2x\geq 26[/tex]
Multiply both sides by [tex]\frac{1}{2}[/tex]
[tex]\dfrac{1}{2}\times 2x\geq 26\times \dfrac{1}{2}\\\\x\geq 13[/tex]
the shaded region in the figure indicates the solution set.
Estimate the values to complete the table.
Answer:
Step-by-step explanation:
For angle C,
cos(∠C) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex] = 0.97
sin(∠C) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex] = 0.26
tan(∠C) = [tex]\frac{\text{Adjacent side}}{\text{Adjacent side}}[/tex] = 0.27
Therefore, from the triangle ABC,
cos(∠A) = cos(90° - ∠C)
= sin(∠C)
= 0.26
sin(∠A) = sin(90 - ∠A)
= cos(∠A)
= 0.97
tan(∠A) = [tex]\frac{\text{sinA}}{\text{cosA}}=\frac{0.97}{0.26}[/tex]
= 3.73
Angle [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex] [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex] [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
A 0.26 0.97 3.73