Answer:
The circumference of Pool B is greater than the circumference of Pool A by about 0.56 meters
Step-by-step explanation:
Identify the diameter of Pool A.
d = 2r
d = 2(18) Substitute 18 for r.
d = 36 ft
Convert from feet to meters. Use the ratio of 1 foot to 0.305 meters.
36 × 0.305 = 10.98
The diameter of Pool A is about 10.98 meters.
Use the formula to find the circumference of Pool A.
C = πd
C = π(10.98) Substitute 10.98 for d.
C ≈ 3.14(10.98) Substitute 3.14 for π.
C ≈ 34.48 Multiply. Round to the nearest hundredth.
The circumference of Pool A is about 34.48 meters.
Identify the diameter of Pool B.
d = 11.16 m
The diameter of Pool B is 11.16 meters.
Use the formula to find the circumference of Pool B.
C = πd
C = π(11.16) Substitute 11.16 for d.
C ≈ 3.14(11.16) Substitute 3.14 for π.
C ≈ 35.04 Multiply. Round to the nearest hundredth.
The circumference of Pool B is about 35.04 meters.
The circumference of Pool B is greater than the circumference of Pool A.
Find how much greater the circumference of Pool B is compared to the circumference of Pool A.
35.04 − 34.48 = 0.56
The circumference of Pool B is greater than the circumference of Pool A by about 0.56 meters.
n music, a quaver is one-eighth of a semibreve (whole note). What fraction of a semibreve is a hemidemisemiquaver? (Hint: hemi-, demi-, and semi- are prefixes each of which represents a multiplication by one-half).
Answer:
[tex]\dfrac{1}{64}[/tex]
Step-by-step explanation:
Hemi-, demi- and semi- are prefixes which mean half.
When applied to musical notation, each time a prefix is added it means the note's value is halved.
Therefore, if a quaver is one-eighth of a semibreve, then a semiquaver is half of a quaver, which means it's one-sixteenth of a semibreve.
[tex]\large \begin{aligned}\sf quaver & = \sf\dfrac{1}{8}\:of\:a\:semibreve\\\\\implies \sf hemisemidemiquaver & = \sf \dfrac{1}{2} \times \dfrac{1}{2} \times \dfrac{1}{2} \times quaver\\\\& = \sf \dfrac{1}{2} \times \dfrac{1}{2} \times \dfrac{1}{2} \times \dfrac{1}{8}\\\\& = \sf \dfrac{1}{64}\:of\:a\:semibreve\end{aligned}[/tex]
Therefore, a hemisemidemiquaver is one-sixty-fourth of a semibreve.
64^2 -7y+9 what is the answer
Answer:
y=586.4
Step-by-step explanation:
64^2= 64x64 = 4096
4096-7y+9=0
4105-7y=0 1. +7y on both sides
4105=7y 2. /7 on both sides
y=586.4
Year(x) 1971
Percent(y) 42.4
1978
37.4
1980
37.1
1984
34.1
1989
32.1
1993
28.8
1997
25.7
2000
25.5
Answer:
25.5
Step-by-step explanation:
I did the same assignment
I NEED A.S.A.P PLEASE I WILL GIVE BRAINLIEST
Simplify: 5.9 (9 - 5) + 4^3 + 3.86 A. 63.06 B. 72.83 C. 91.46 D. 98.32
Answer:
C. 91.46
Step-by-step explanation:
Use BODMAS!
Answer:
C. 91.46
Step-by-step explanation:
Using Pemdas to solve:
5.9 (9 - 5) + 4^3 + 3.86
First you have to solve in the parenthesis
5.9 (9 - 5) + 4^3 + 3.86
= 4
New equation:
5.9 x 4 + 4^3 + 3.86
Now solve the exponent:
5.9 x 4 + 4^3 + 3.86
= 64
New equation:
5.9 x 4 + 64 + 3.86
Now we have to do multiplication:
5.9 x 4 + 64 + 3.86
= 23.6
New equation:
23.6 + 64 + 3.86
Now all you have to do is add all that together and you have your answer:
23.6 + 64 + 3.86
= 91.46
Hope this helps.
[tex] \frac{2}{3} n (4p + \sqrt{36} - 2 {n}^{2} [/tex])
n= -3
p=5
need urgent help
Answer:
-16.
Step-by-step explanation:
2/3 * (-3) * (4*5 + 6 - 2(-3)^2)
= -2(20 + 6 - 18)
= -2 * 8
= -16.
Question 9 of 10
Which pairs of angles in the figure below are vertical angles?
Check all that apply.
Answer:
B and C
Step-by-step explanation:
vertical angles are angles that are opposite of each other when two lines cross. Vertical angles are congruent = they are equally large.
the angles listed in B and C are mirrored across either an imaginary or a directly visible line. and that makes them vertical angles.
The heights of 150 oak trees are normally
distributed with a mean of 84 feet and a
standard deviation of 3 feet. about how
many trees fall within two standard
deviations of the mean?
Using the Empirical Rule, it is found that about 143 trees fall within two standard deviations of the mean.
What does the Empirical Rule state?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.95% of the measures are within 2 standard deviations of the mean, hence, out of 150 trees, the amount is:
A = 0.95 x 150 = 142.5, rounded to 143.
More can be learned about the Empirical Rule at https://brainly.com/question/24537145
#SPJ1
If LogN= 3.8609, find the value of N, to the nearest integer
[tex]~~~~~~~\log_{10} N = 3.8609\\\\\\\implies N = 10^{3.8609} ~~~~~~~~~;[\log_b c =d \implies b^d = c]\\\\\\\implies N \approx 7259[/tex]
Simplify the expression.
(x6y-6)
————
(x8y-8)
Question in the Picture
Step-by-step explanation:
the picture is not representing the real angle sizes. so, don't let yourself get confused by that.
the right neighbor angle of 90° at E is also 90°.
it has to be, because it is the supplementary angle to the left 90° (that means together they are 180°).
remember, all angles around a single point on one side of a line have to sum up to 180° (because the line can be seen as the diameter of a circle, with the point being the center of the circle, and so one side of the line is representing a half-circle and therefore 180°).
for the same reason angle 1 (the lower neighbor of the 90° angle at A) is also 90°.
for the same reason the lower neighbor angle of the 60° angle at E is 180 - 60 = 120°.
for the same reason the angle ABC is 180 - 40 = 140°.
for the angle BCD we need to remember :
the sum of interior angles of a polygon with n sides is
(n − 2) × 180°.
in our case ABCDE has 5 sides, so the sum of all interior angles is
(5 - 2) × 180 = 3×180 = 540°
we know 4 of the interior angles already, so
angle BCD = 540 - 90 - 90 - 120 - 140 = 100°
x is now the supplementary angle to the angle BCD.
so,
x = 180 - 100 = 80°
If the coordinate of A is (0, -2) and the coordinate of B is (10, -6), the then midpoint of \overline{AB} AB is: Part A The X portion of the midpoint is __________________. Part B The Y portion of the midpoint is _________________.
Step-by-step explanation:
it is very simple :
the midpoint coordinates are created as the midpoint of the x coordinates, and the midpoint of the y coordinates.
the x coordinate of the midpoint is
(0 + 10)/2 = 10/2 = 5
the y coordinate of the midpoint is
(-2 + -6)/2 = -8/2 = -4
Alex wants to cover his wall
with a circular clock that has a
diameter of 16 in. How much
space will the clock cover on
his wall?
Answer: A = π r2
r=8 and 8 squared is 64 and 64×3.14=200.96 or rounded to the nearest whole number it would be 201
Step-by-step explanation: brainliest please?
If a baseball player hits 10 home runs in the first 45 game, at the same rate how many home runs can he expect to hit during the 162 game season
Using proportions, it is found that he can be expected to hit 36 home runs during the 162 game season.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, the player hits 10 home runs in 45 games, hence the proportion is:
p = 10/45.
Then, in 162 games, the amount is:
HR = 10/45 x 162 = 36.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
One force of 700 pounds and one force of 490 pounds act on a body at the same point so that the resultant force is 1120 pounds. find the angle between the resultant and the smaller force, to the nearest degree.
Answer:
angle 700 < angle 1120 pounds
To which quadrants is tan^-1 x restricted?
A. Quadrants I and IV
B. Quadrants III and IV
C. Quadrants II and III
The quadrants is tan⁻¹x restricted is A. Quadrants I and IV
To answer the question, we need to know what tan⁻¹x is.
What is tan⁻¹x?tan⁻¹x is the inverse trigonometric function of tanx, which is the value of the angle for tanx.
Quadrant in which tan⁻¹x is restrictedTo find the quadrants in which tan⁻¹x is restricted, we know that tanx lies in the range
-∞ ≤ tanx ≤ +∞ for -90° ≤ x ≤ 90°.
Since the inverse function of tanx is x.tan⁻¹x lies between -90° and 90°. That is -90° ≤ tan⁻¹x ≤ 90°.Since 90° lies in first quadrant and -90° lies in the fourth quadranttan⁻¹x lies between quadrant I and IV
So, the quadrants is tan⁻¹x restricted is A. Quadrants I and IV
Learn more about tan⁻¹x here:
https://brainly.com/question/20334292
#SPJ1
Elijah made 14 quarts of punch for a party. How many gallons of punch did he make?
Answer:
3.5 gallons of punch
Step-by-step explanation:
There are 4 quarts in 1 gallon.
Set up equation to convert 14 quarts to gallons: 14÷4 = 3.5.
Elijah made 3.5 gallons of punch.
proving trigonometric identities
2(cosx sinx-sinx cos2x)/sin2x =secx
This is not an identity.
[tex]\dfrac{2(\cos(x)\sin(x) - \sin(x)\cos(2x))}{\sin(2x)} \neq \sec(x)[/tex]
Check x = π/4, for which we have cos(π/4) = sin(π/4) = 1/√2. Together with sin(2•π/4) = sin(π/2) = 1 and cos(2•π/4) = cos(π/2) = 0, the left side becomes 1, while sec(π/4) = 1/cos(π/4) = √2.
Keeping the left side unchanged, the correct identity would be
[tex]\dfrac{2(\cos(x)\sin(x) - \sin(x)\cos(2x))}{\sin(2x)} = -2\cos(x) + 1 + \sec(x)[/tex]
To show this, recall
• sin(2x) = 2 sin(x) cos(x)
• cos(2x) = cos²(x) - sin²(x)
• cos²(x) + sin²(x) = 1
Then we have
[tex]\dfrac{2(\cos(x)\sin(x) - \sin(x)\cos(2x))}{\sin(2x)} = \dfrac{2\cos(x)\sin(x) - 2\sin(x)\cos(2x)}{\sin(2x)} \\\\ = \dfrac{\sin(2x) - 2\sin(x)\cos(2x)}{\sin(2x)} \\\\ = 1 - \dfrac{2\sin(x)\cos(2x)}{\sin(2x)} \\\\ = 1 - \dfrac{2\sin(x)(\cos^2(x) - \sin^2(x))}{2 \sin(x)\cos(x)} \\\\ = 1 - \dfrac{\cos^2(x) - \sin^2(x)}{\cos(x)} \\\\ = 1 - \cos(x) + \dfrac{\sin^2(x)}{\cos(x)} \\\\ = 1 - \cos(x) + \dfrac{1 - \cos^2(x)}{\cos(x)} \\\\ = 1 - \cos(x) + \sec(x) - \cos(x) \\\\ = -2\cos(x) + 1 + \sec(x)[/tex]
If sin Q = 4/5, cos P + cos Q
The value of the cos P + cos Q is 7/5 if sin Q = 4/5 after applying the identities of trigonometric.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We know that:
P + Q are complementary, which means that
P+Q = 90°
Then R is a right angle, i.e. it measures 90°.
sin(90-x) = cos (x)
cos(90-x) = sin (x)
Then sinQ = 4/5
cos(90-Q) = cosP = 4/5
Now sin²(P) + cos²(P) = 1
sin²(P) = 1 - cos²(P)
sin²(P) = 1 -[4/5]² =9/25
sin(P) = 3/5
cos(Q) = sin(P) = 3/5
cos(P) + cos(Q) = 4/5 + 3/5 = 7/5
Thus, the value of the cos P + cos Q is 7/5 if sin Q = 4/5 after applying the identities of trigonometric.
Learn more about trigonometry here:
brainly.com/question/26719838
#SPJ1
Where is the other endpoint located if the midpoint is at (0,-5) and one of the endpoints is (-3,-2)?
Answer:
3,-8
Step-by-step explanation:
x: from -3 to 0 is +3 add +3 more 3
y: from -2 to -5 is -3 add -3 more -8
A six-sided die is rolled seven times. What is the probability that the die will show an even number at least six times?
Answer:
Step-by-step explanation:
Explanation
On a 6 sided die, there are three even numbers (2,4,6)
That's 1/2 the number on the die.
So getting 6 even numbers is
P(6) = 1/2 * 1/2 * 1/2 * 1/2 * 1/2 * 1/2 * 1/2 = 0.00781
Where did that extra 1/2 come from? Well one of the numbers thrown was an odd number, and it has to be counted.
P(7) = the same answer. 0.00781
Total 0.0156
A farmer has 6 pumpkins that are the same size. the mass of each pumpkin is 3 kilograms. what is the total mass of the farmer's pumpkins?
Answer: 18 kilograms
Step-by-step explanation:
If each pumpkin weighs 3 kilograms and the farmer has 6 pumpkins the equation would be 6x3=18 in order to find the mass of the farmer's pumpkins.
Compare the equations represented in the table, equation, and graph over
the interval
[-5, 3]. Which function is increasing the fastest?
Answer:
Tabled Function
Step-by-step explanation:
To determine which function is increasing the fastest over the interval [-5, 3], we need to calculate and compare each function's average rate of change over the given interval.
The average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:
[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]
Given interval: -5 ≤ x ≤ 3
Therefore, a = -5 and b = 3
Tabled function[tex]f(3)=7[/tex]
[tex]f(-5)=-17[/tex]
[tex]\implies \textsf{Average rate of change}=\dfrac{f(3)-f(-5)}{3-(-5)}=\dfrac{7-(-17)}{3+5}=3[/tex]
Equation: y = x² - 2[tex]f(3)=(3)^2-2=7[/tex]
[tex]f(-5)=(-5)^2-2=23[/tex]
[tex]\implies \textsf{Average rate of change}=\dfrac{f(3)-f(-5)}{3-(-5)}=\dfrac{7-23}{3-(-5)}=-2[/tex]
Graphed functionFrom inspection of the graph:
[tex]f(3)\approx8[/tex]
[tex]f(-5) \approx 0[/tex]
[tex]\implies \textsf{Average rate of change}=\dfrac{f(3)-f(-5)}{3-(-5)} \approx \dfrac{8-0}{3-(-5)}=1[/tex]
Therefore, the Tabled Function has the greatest average rate of change in the interval [-5, 3] and so it is increasing the fastest.
Regress smoker on cubic polynomials of age, using a linear probability model. What is the p-value for testing the hypothesis that the probability model is linear in age? (two decimal places)
The statement " only the estimate intercept is statistically significant at the 5% level is wrong" is wrong about the estimate.
What is probit regression?A probit model is a type of regression in statistics where the dependant variable can only take two values.
We have:
Regress smoker on cubic polynomials of age
If we use linear probability model.
Here the data are missing, but we can say about the estimate that:
Only the estimate intercept is statistically significant at the 5% level is wrong,
Thus, the statement " only the estimate intercept is statistically significant at the 5% level is wrong" is wrong about the estimate.
Learn more about the probit regression here:
brainly.com/question/23389011
#SPJ4
Solve the system of equations using substitution.
y=x+2,5x-4y=-3
Answer:
x=5 and y=7
Step-by-step explanation:
Just substitute in y=x+2 into the equation 5x-4y=-3 to get 5x-4(x+2)=-3 which simplifies to x=5. Substitute x into y=x+2 to find y=7
please help... Find the volume of pyramid that has a square base.
Answer:
V = 324 cm³
Step-by-step explanation:
the volume (V) of the pyramid is calculated as
V = [tex]\frac{1}{3}[/tex] Ah ( A is the area of the base and h the height )
here A = 9² = 81 cm² and h = 12 , then
V = [tex]\frac{1}{3}[/tex] × 81 × 12 = 27 × 12 = 324 cm³
Pls solve this for me
Answer:
141/1.95 km/hr, or 72.308 km/hr
Step-by-step explanation:
To find the average speed, we need to know the total distance traveled / time (hours).
The total distance is 72 km + 69 km = 141 km.
The total time is 48 minutes / 60 (because we want this in hours, not minutes) + 69/60 = 1.95 hours
141/1.95 = 72.3 km/hr
f(x) =2x^2+4x-6. g(x)=4x^3-6x^2+3 find (f+g)(x)
Answer:
=4x³-4x²+4x-3
Step-by-step explanation:
(f+g)(x)=4x³+2x²-6x²+4x-6+3
=4x³-4x²+4x-3
Can you do it on paper and photos? the answer!
help me
The value of x in all case is
1. The value of x is 2
2. The value of x is 1
3.The value of x is 57
4.The value of x is 93
What is complementary and supplementary angle?If the sum of two angles is 180 degrees then they are said to be b angles, which form a linear angle together. Whereas if the sum of two angles is 90 degrees, then they are said to be complementary angles, and they form a right angle together.
1. As the given angle is 90 degree i.e., complementary angle.
So,
54+10x+16=90
20=10x
x=2
2. 65x-12=43x+10 (Vertically opposite angle)
22x= 22
x=1
3. 72= x+15 (Vertically opposite angle)
x= 57
4.x+244+23=360 (Complete angle)
x=93
Learn more about complementary and supplementary angle here:
brainly.com/question/3027144
#SPJ1
Select the correct answer from each drop-down menu. policy is the actions taken by the to influence the real gdp and the inflation rate in the economy.
Monetary policy is the actions taken by the reserve banks to influence the real GDP and the inflation rate in the economy.
What is Monetary policy?These are actions done by the central bank of a country and involves adjusting money supply so as to achieve economic growth.
This influences the real gross domestic product and inflation rate of the country .
Read more about Monetary policy here https://brainly.com/question/13926715
#SPJ1
Answer: Monetary and Reserve Bank
Step-by-step explanation:
;)
1.
Solve the equation below.
a.
x = 1
x = -2
x = 3
x = -4
b.
C.
d.
2x + 3 = 5
Answer:
a) x = 1
Step-by-step explanation:
Given: 2x + 3 = 5
1. Subtract 3 from both sides:
2x + 3 - 3 = 5 - 3
⟹ 2x = 2
2. Divide both sides by 2:
2x ÷ 2 = 2 ÷ 2
⟹ x = 1
3. Check your work:
2(1) + 3 = 5
2 + 3 = 5
⟹ 5 = 5 ✔
Learn more about solving algebraic equations here:
brainly.com/question/27597890
brainly.com/question/25229258