Answer:
a. About 263.08 m²
Step-by-step explanation:
First find the radius (r):
Area of sector = central angle/360 ×πr²
Area of sector = 85.5 m²
Central angle = 117°
Plug in the values into the equation
85.5 = 117/360 × π*r²
85.5 = 1.02 × r²
85.5 - 1.02 = r²
84.48 = r²
r = √84.48
r = 9.19 m
✔️Find the area of the circle
Area of the circle = πr²
Where,
r = 9.19
Plug in the value
Area = π*9.2²
Area = 265.326663 (this is close to 263.08 cm²)
Area therefore is about 263.08 cm².
Which of the following sets represents the range of the diagram.
Answer:
{3, 5, 7}
Step-by-step explanation:
From our knowledge of mapping, the domain is mapped to a range as given in the diagram above, the first set given is the domain while the seet which the arrow points to is the range, therefore, in simple terms, the range of the diagram given is the set {3 5, 7}
4 + 9x + 8 + 3x + 5 + 2
Simplify the expression by combining the like terms
Answer:
12x+19
Step-by-step explanation:
First you would find the like terms. There is 9x and 3x, and 5, 2, 4, and 8. If you combine 9x and 3x, you get 12x, and if you combine 5, 2, 4, and 8, you get 19. You then combine your two answers to get 12x+19.
Answer:
12x + 19
Step-by-step explanation:
Add the exponents and then add the numbers.
Find the area of the triangle.
18 in.
25 in.
Answer:
225in
Step-by-step explanation:
Find the distance between the two points in simplest radical form HELP
Given:
The two points on the graph.
To find:
The distance between the two points in simplest radical form.
Solution:
From the given graph, it is clear that the two points on the graph are (-9,3) and (-3,-2).
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using the distance formula, the distance between two points (-9,3) and (-3,-2) is:
[tex]d=\sqrt{(-3-(-9))^2+(-2-3)^2}[/tex]
[tex]d=\sqrt{(-3+9)^2+(-5)^2}[/tex]
[tex]d=\sqrt{(6)^2+(-5)^2}[/tex]
On further simplification, we get
[tex]d=\sqrt{36+25}[/tex]
[tex]d=\sqrt{61}[/tex]
Therefore, the distance between the given points is [tex]\sqrt{61}[/tex] units.
2. My wife and I are racing around a 400m track going opposite directions. I am
running at 8 m/s and she has a head start of 50 meters running at 5m/s, how long
does it take for us to reach the same point.
Roulette is a casino game that involves spinning a ball on a wheel that is marked with numbered squares that are red, black, or green. Half of the numbers 1 - 36 are colored red and half are black and the numbers 0 and 00 are green. Each number occurs only once on the wheel. What is the probability of landing on an number greater than 12?
Answer:
.6315 or 63.15%
Step-by-step explanation:
not sure if the question is trying to be tricky, but there are 0 and 00 which makes a total of 38 numbers on the wheel (and they are less than 12)
24/38 = .6315
What is the true meaning of absolute value?
Answer:
Change the value from negative to positive
Or
Change the value from positive to positive
Step-by-step explanation:
It is very simple
Any number's absolute value should be positive
Let's say absolute value of 3 - >answer is 3
But absolute value of - 3 - > is also 3
Hope you understood it.
Answer:
In math students think that the function just removes negative signs, and actually that is basically what happens...
BUT !!! the definition that you want is that absolute value is a measure of how far (distance) you are from ZERO.... and note that distances are not negative...
If you run out of gas one mile in front of behind a gas station, you have to travel "one mile" you don't walk "negative one mile"...
forward one mile or backward one mile are both "one mile" just in different directions
Step-by-step explanation:
Excel Assignment
Samsung manufactures cellphone with an average standby time of 10 hours between charges. The standby time of the cellphone is normally distributed. During the design stage, the quality engineering staff recorded 18 observations of the standby time of the cellphone. Using the observations below, is there evidence that the average standby time of a Samsung cellphones is not 10 hours? Use a level of significance of .05
Observation
Observations
Time
1
10.85
2
11.4
3
10.81
4
10.24
5
10.23
6
9.49
7
9.89
8
10.11
9
10.57
10
11.21
11
10.1
12
11.22
13
10.31
14
11.24
15
9.51
16
10.52
17
9.92
18
8.33
Answer the following questions:
What is the null and alternative hypothesis to the case above?
Copy the data into excel and do an analysis to test the hypothesis
What is the conclusion of your analysis?
Develop the 95% confidence interval.
18
Step-by-step explanation:
hduduxjajahxhuddixisuduvic
help me pls? asap? <3
Answer:
{A, B, C, D}
domain = {A, B, C, D}
Happy learning!
--Applepi101
When adding two numbers, the number of significant figures in the sum is equal to the number of significant figures in the least accurate of the numbers being added. Group of answer choices True False
Answer: The given statement is true.
Step-by-step explanation:
Significant figures are defined as the figures that are present in a number. It expresses the magnitude of a quantity to a specific degree of accuracy.
There are some rules to detect the significant figures in a number:
All digits ranging from 1 to 9 are always considered significant.Every non-zero number is always considered significant. For example, 274, 2.74, and 27.4 all have three significant figures.All zero’s that are present between the integers is always considered significant. For example, 5007, 5.007, and 50.07 all have four significant figures.All zero’s preceding the first integer is never considered significant. For example, 0.0089 has two significant figures.All zeros that are present after the decimal point are always significant. For example, 4.800, 48.00, and 480.0 all have four significant figures.Rule applied when numbers are added or subtracted:
The number having less number of significant figures after the decimal point will determine the number of significant figures in the final answer.
Hence, the given statement is true.
the small intestine is about 23 feet long while the large intestine is only 5 feet long what is the ratio of the large intestine to small intestine write in 3 ways
Answer:
it's answer is 4:1
Because length of small intestine is 6 m and length of large intestine is 1•5m
So 6/1•5 =4:1
d. The equation of a line is y+6=-9(x - 1). The slope of the line is and the y-intercept is A point on the line is
Answer: The equation of a line is y+6=-9(x-1). The slope of the line is -9 and the y-intercept is 3. A point on the line is (0, 3)
Step-by-step explanation:
Let's start by putting it in slope intercept form.
First use the distributive property
[tex]y+6=-9(x-1)\\y+6=(-9)(x)+(-9)(-1)\\y+6=-9x+9[/tex]
Now subtract 6 from both sides
[tex]y+6-6=-9x+9-6\\y=-9x+3[/tex]
Now it is in slope intercept form (y=mx+b)
In slope intercept form the slope of the line is the value m. In our equation the value m is -9 making that our slope.
In slope intercept form the y-intercept of the line is b. In our equation the value of b is 3 making that our y-intercept.
To find a point on the line we can sub x with any number to find the y so that we can find the coordinate.
[tex]y=-9(0)+3\\y=0+3\\y=3[/tex]
A point on the line is (0, 3)
On a coordinate plane, line A B goes through (negative 2, 4) and (2, negative 8). Point C is at (6, 4).
Which point on the y-axis lies on the line that passes through point C and is perpendicular to line AB?
(–6, 0)
(0, –6)
(0, 2)
Answer:
A. (-6,0)
Step-by-step explanation:
The point on the y-axis lies on the line that passes through point C and is perpendicular to line AB is (-6, 0). Therefore, option C is the correct answer.
Given that, on a coordinate plane, line AB goes through (-2, 4) and (2, -8). Point C is at (6, 4).
What is the slope of a line?The slope of a line is defined as the change in y-coordinate with respect to the change in x-coordinate of that line.
The slope is represented by the letter m, and is given by, m = tan θ = (y2 - y1)/(x2 - x1)
Now, slope of line AB with (x1, y1) = (-2, 4) and (x2, y2) = (2, -8) is
Slope = m = (-8-4)/(2(-2)
= -12/4
= -3
Slope perpendicular to AB = -1/m = -1/(-3)
=1/3
Put m=1/3 and C(6, 4) in y=mx+c, we get
4 = 1/3 (6) + c
⇒ c = 4-2
⇒ c = 2
Substitute m=1/3 and c = 2 in y = mx+c
That is, y = x/3 + 2
⇒ 3y = x+6
Point on the y-axis lies is 3(0) = x+6
⇒ x=-6
So, the coordinate is (-6, 0)
The point on the y-axis lies on the line that passes through point C and is perpendicular to line AB is (-6, 0). Therefore, option C is the correct answer.
To learn more about the slope of a line visit:
https://brainly.com/question/16180119.
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Evaluate 3/2y - 14/3x when y=6 and x=3
Answer: -47/36
Step-by-step explanation:
3/2y-14/3x
as x=3 and y=6
3/2(6)-14/3(3)
3/12-14/9
1/4-14/9
9-56/36
-47/36
Answer:
- 5
Step-by-step explanation:
[tex]\frac{3}{2}y-\frac{14}{3}x[/tex]
[tex]\frac{3}{2}(6)-\frac{14}{3}(3)[/tex]
9 - 14
- 5
Marty decided he wants to run a 5K race. He is starting by running 1 3/4km and adding 1/2km each day. How many days will it take him to reach his goal?
Answer:
2day I think might not be right
The number of days it will take him to reach his goal is 6.5 days.
Given that, Marty decided he wants to run a 5 km race.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the number of days be x.
He is starting by running [tex]1\frac{3}{4} =\frac{7}{4}[/tex] km and adding 1/2km each day.
Now, 7/4 +1/2 x= 5
⇒ 1/2 x= 5-7/4
⇒ 1/2 x=13/4
⇒ x=6.5 days
Therefore, the number of days it will take him to reach his goal is 6.5 days.
To learn more about an equation visit:
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SOMEONE PLEASE HELP! I don’t know how to do this !
9514 1404 393
Answer:
136
Step-by-step explanation:
The x-value at one end of the beam will be where f(x) = 0.
0 = -x²/272 +17
x² = 17(272) = 4624
x = ±√4624 = ±68
The beam extends from x=-68 to x=68, so has a width of ...
68 -(-68) = 136
__
Note that the x in the equation for f(x) is not the same as the x in the picture corresponding to width.
Solve the equation using the distributive property and properties of equality
3(x+6) = 18
What is the value of x?
6
7 1/2
14 1/2
30
Answer:
0
Step-by-step explanation:
3(x+6)=18
3x+18=18
3x=18-18
3x=0
3x/3=0/3
x =0
i don't understand how to add the fractions
Answer:
5/4 or
1 and 1/4
Step-by-step explanation:
1/2 + 3/4 =
1 × 2
2 × 2 + 3/4
=
2/4 + 3/4
=
2 + 3
----------
4
so
5/4 or
1 and 1/4
Which statement about 'square root X - 5 minus square root X = 5'' is true?
x = –3 is a true solution.
x = –3 is an extraneous solution.
x = 9 is a true solution.
x = 9 is an extraneous solution.
Answer: x=9 is an extraneous solution
Step-by-step explanation:
Given
Function is [tex]f(x)=\sqrt{x-5}[/tex]
for function to exist
[tex]\Rightarrow x-5\geq 0\\\Rightarrow x\geq 5[/tex]
Therefore, 9 satisfies the above equation. It is it's extraneous solution.
Write each as the sum of two terms, each
in the form tn,r.
a) t19,11
b) t25,16
c) t14,7
9514 1404 393
Answer:
a) t18,10 + t18,11
b) t24,15 + t24,16
c) t13,6 +t13,7
Step-by-step explanation:
Each term of Pascal's triangle is the sum of the two terms above it in the triangle:
tn,r = t(n-1),(r-1) +t(n-1),r
__
a) t19, 11 = t18,10 + t18,11
b) t25,16 = t24,15 + t24,16
c) t14,7 = t13,6 +t13,7
Type the correct answer in the box. Use numerals instead of words.
What is the solution to this equation?
7 - 32
- I = 12
The solution is r =
Answer:
Step-by-step explanation:
[tex]7- \sqrt[3]{2-x} =12[/tex]
we have to just keep in mind to do the same operation to both sides of the equal sign
[tex]7-7- \sqrt[3]{2-x} =12-7[/tex] ; subtract 7 from both sides
[tex]- \sqrt[3]{2-x} = 5[/tex] ; multiply both sides by -1
[tex]\sqrt[3]{2-x} = -5[/tex] ; raise both sides to the power 3
2-x = (-5)³
2-x = -125 ; subtract 2 from both sides
-x = -125-2
-x =-127; multiply both sides by -1
x= 127
I need help ASAP anyone
Answer:
90
Step-by-step explanation:
there is 6 sides of box
2 bigger and 4 smaller
area of bigger side is 5×5 = 25 this is the area of one side as we have 2 sides so are of both sides is 25 + 25 = 50
now come to the smaller sides ( we have 4 here)
are of one side is 2× 5 = 10
so are of all 4 sides is 10× 4 = 40
now we get area of 4 smaller sides and 2 bigger sides
total area of box is 40+ 50 = 90
hope you understand
ILL GIVE YOU BRAINLIEST IF YOU GET IT RIGHT AND EXPLAIN A circular walkway surrounds a fountain.The fountain alone has a diameter of 16 feet.The walkway adds an additional 4 feet to each side. What is the area of the walkway minus the area of the fountain. Use 3.14 for Pi.
Answer:
Step-by-step explanation:
[tex]A_{circle}=\pi r^2\\\\A=\pi r_{walkway}^2-\pi r_{fountain}^2\\\\A=\pi(20^2-16^2)=244\pi[/tex]
use a calculator fo find the value
Answer:
a = 452.16 ft² area of walkway
a = -351.68 ft² area of the walkway minus the area of the fountain
Step-by-step explanation:
Area fountain
a = π16²
a = 256π
Area fountain and walkway
a = π(16 + 4)²
a = π20²
a = 400π
Area Walkway
a =400π - 256π
a = 144π
a = 144 * 3.14
a = 452.16 ft²
------------------------------
I think the Area of the Walkway is what the question should be asking for, but it asked for
"the area of the walkway minus the area of the fountain"
a = 144π - 256π
a = -112π
a = -112 * 3.14
a = -351.68
simplify 2 X + 1
whole cube
Answer:
So, After simplify : [tex](2x+1)^3=8x^3+12x^2+6x+1[/tex]
Step-by-step explanation:
Given question :
[tex](2x+1)^3[/tex]
Now,
Applying this formula
[tex](a+b)^3=a^3+b^3+3ab(a+b)[/tex]
So,
[tex](2x+1)^3=(2x)^3+1^3+3(2x)(1)(2x+1)\\\\ (2x+1)^3 =8x^3+1+6x(2x+1)\\\\ ( 2x+1)^3 =8x^3+1+12x^2+6x\\ (2x+1)^3 =8x^3+12x^2+6x+1[/tex]
Answer:
3x 0r 2x1
Step-by-step explanation:
using a 21 sided polygon as a base,complete the following table:
POLYHEDRON:. PYRAMID. PRISM
# OF FACES:. _____. 23
Answer: i dont understand
Step-by-step explanation:
Simplify the expression below
Answer:
[tex]3\sqrt{10}[/tex]
Step-by-step explanation:
Complete the input-output table for the function y = 3x.
Input-Output table
Answer:
Y: 0, x:0
Y:1, x: 3
Y: 2, x: 6
Y: 3, x:9
Step-by-step explanation:
Plug in the x to get the y
Lynn multiplies 7/8 Times a number the product is less than 7/8 which could be Lynn's number
Answer: 6/8 <;3..?
Step-by-step explanation:
A study indicates that teenagers spend an average of 112 minutes watching videos on their smartphones per week. Assume the distribution is normal, with a standard deviation of 12 minutes. What is the probability that a teenager spends less than 90 minutes watching videos on their phone per week
Answer:
0.0336 = 3.36% probability that a teenager spends less than 90 minutes watching videos on their phone per week.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
A study indicates that teenagers spend an average of 112 minutes watching videos on their smartphones per week. Assume the distribution is normal, with a standard deviation of 12 minutes.
This means that [tex]\mu = 112, \sigma = 12[/tex]
What is the probability that a teenager spends less than 90 minutes watching videos on their phone per week?
This is the p-value of Z when X = 90. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{90 - 112}{12}[/tex]
[tex]Z = -1.83[/tex]
[tex]Z = -1.83[/tex] has a p-value of 0.0336
0.0336 = 3.36% probability that a teenager spends less than 90 minutes watching videos on their phone per week.
A three-layer chocolate cake costs $24 and serves 16 . What is the cost per slice?
Hi there!
»»————- ★ ————-««
I believe your answer is:
$1.50
»»————- ★ ————-««
Here’s why:
Assuming that the cake has one slice per person (16 slices):
⸻⸻⸻⸻
[tex]\frac{\text{price}}{\text{slice}}\\\\\rightarrow \frac{24}{16}\\\\\rightarrow \boxed{1.50}[/tex]
⸻⸻⸻⸻
Each slice should cost $1.50.
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.