Answer: [tex]\frac{25}{2}\ \text{miles}[/tex]
Step-by-step explanation:
Given
A piece of land is 3 miles wide
It is [tex]4\ \frac{1}{6}[/tex] times as long as it is wide
Suppose width be b
So, length becomes [tex]\frac{24+1}{6}b[/tex]
Also, [tex]b=3\ \text{miles}[/tex]
[tex]\therefore \text{Length is }l=\dfrac{25}{6}\times 3\\\\\Rightarrow l=\dfrac{25}{2}\ \text{miles}[/tex]
suppose you want to pave the driveway below and blacktop costs $28 per square yard. how much would you spend to cover the driveway?
Answer:
$2576
Step-by-step explanation:
You need to get the areas of the squares, the little square the area is 8 yd since you multiply 4 times 2. The big rectangle we need our length times our width we get our width by subtracting 4 from 10 which means w=6, then we need our length, for that we add 12 and then 2 to account for the rest which means l=14, we multiply 14 times 6 which gives you 84 and add the area of the little square (8) so 84 plus 8= 92 multiply that times the cost per yard so (92)(28) and you get $2576
The only time the word 'incorrectly' isn't spelled incorrectly is when it's spelled incorrectly. (⊙_ ⊙)
ahaha good one
Step-by-step explanation:
...........
Calculate the population
data set;
mean for the following
40, 50, 55, 78,58,60,73, 35, 43, 48.
Answer:
I think it’s 11.8
Step-by-step explanation:
Which angles are vertical angles?
Answer:
It would be Angles GFC and EFH.
Think of it like I'm drawing a capital X. Would you consider the top and bottom parts of the X to be the same? Or would you consider the top and left parts to be the same?
The correct answer for this would be that the top and bottom parts of X are the same size. Now, remember that whenever two lines are making an X. this is because the two angles only touch each other in the center point and don't share a side.
A cylinder has a base radius of 3m and a height of 17m. What is its volume in cubic m, to the nearest tenths place?
Answer:
V= 480.7 m cubed
The volume of the cylinder nearest to tenths place is 480 m^3.
What is cylinder?A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface.
For the given situation,
The formula for volume of the cylinder is [tex]V=\pi r^{2} h[/tex]
Radius of the cylinder,r = 3 m
Height of the cylinder, h = 17 m
The value of π = 3.14
On substituting the above values,
[tex]V=(3.14) (3^{2})(17)[/tex]
⇒ [tex]V=480.42[/tex] ≈ 480
Hence we can conclude that the volume of the cylinder is 480 m^3.
Learn more about volume of cylinders here
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The length of the hypotenuse of a 30°-60°-90° triangle is 11. What is the perimeter?
O
A. 11 33
- + 3
2 2
B. 33 11
+
2 2
C. 11 + 33 3
D. 33 + 11 5
Answer:
B
Step-by-step explanation:
Using pythagoras theorem
10
05
15
20
25
60
30
35
40
55
45
50
Which of the following represents the Inter-Quartile Range of data?
A. 26
B. 50
C. 56
D. 10
E. 16
The value that represents the Inter-Quartile Range of data is 26.
Option A is the correct answer.
What is the interquartile range?An interquartile range is a measure of the difference between the upper and lower quartiles of a dataset.
W can find the values of the upper and lower quartile and median from a box plot.
The middle line is the median and the first line is the lower quartile and the last line is the upper quartile.
The formula used is Upper quartile - Lower quartile.
We have,
From the boxplot, we can see that,
Third quartile = 46
First quartile = 20
Now,
Interquartile range
= Third quartile - First quartile
= 46 - 20
= 26
Thus,
The value that represents the Inter-Quartile Range of data is 26.
Learn more about the interquartile range here:
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Which table has a constant of proportionality between y and x of 12?
Will give brainliest if correct
Answer:
Table A
Step-by-step explanation:
If you do delta method (Change in y and x)
For example, 120-24
______ = 96/8
10-2
Then you divide both the numerator and denominator by the denominator (which is 8) and that gets us to 12 as our answer. Do the same method for all of the numbers in table A.
Ps: I hope that I was helpful, and you are welcome.
Find the interquartile range (IQR) of the data in the dot plot below. goals luis's lacrosse
Answer:
3.5
Step-by-step explanation:
The interquartile range is the difference between the third and first quartile
IQR = Q3 - Q1
From the dot plot given :
The data, X could be culled :
X = 43, 44, 44, 44, 45, 45, 47, 48, 48
n = 9
Q3 = 3/4(n + 1)th term
Q3 = 3/4(10) = 7.5th term = (47 + 48) / 2 = 47.5
Q1 = 1/4(n + 1)th term
Q1 = 1/4(10) = 2.5th term = (44 + 44) / 2 = 44
Q3 - Q1 = 47.5 - 44 = 3.5
Answer:
3.5
Step-by-step explanation:
smart
Help please with this math ;-; I beg of you
Answer:
49 - 9π
Step-by-step explanation:
Area of white portion = area of triangle - area of circle
To find the area of the triangle:
The area of a triangle can be calculated using this formula
[tex]A=\frac{bh}{2}[/tex] where b = base length and h = height
The height given is 7m and the base length given is 14m
That being said we plug in the given values into the formula
[tex]\frac{14*7}{2} \\14*7=98\\\frac{98}{2} =49[/tex]
Hence, the area of the triangle is 49 sq meters.
To find the area of circle
( note that the area is in terms of pi; shown by the answer choices. )
Formula for area of a circle = [tex]A=\pi r^2[/tex]
We are given the diameter ( 6m )
However, we need the radius
To convert diameter to radius we divide by 2
6/2 = 3 so the radius = 3m
Now we plug in 3 into the formula
[tex]A=\pi 3^2\\3^2=9\\A=9\pi[/tex]
Remember we do not apply pi because the answer should be in terms of pi.
Now we subtract the two
Area of white portion = 49 - 9π
Hence, the answer is A
Answer:
49 - 9π
Step-by-step explanation:
Hope this helps
I AM GIVING OUT BRAINLIST
Step-by-step explanation:
18.706 → 19
18.706 → 18.71
18.706 = 19
18.706 = 18.71
Two groups went bowling. Here are the scores from each group.
Group A: 80, 100, 190, 110, 70, 90, 130
Group B: 50, 110, 100, 120, 107, 140, 150
70
80
190
50 60
90 100 110 120 130 140 150 160 170 180
score in points
1. Construct two box plots, one for the data in each group.
2. Which group shows greater variability? Explain how you know.
Answer:
Group A has greater variability
Step-by-step explanation:
Group A: 80, 100, 190, 110, 70, 90, 130
The variability of group A data :
Taking the range :
Maximum = 190 ; Minimum = 70
Range = Maximum - Minimum ; 190 - 70 = 120
Group B : 50, 110, 100, 120, 107, 140, 150
The variability of group B data :
Taking the range :
Maximum = 150 ; Minimum = 50
Range = Maximum - Minimum ; 150 - 50 = 100
Hence, Group A has greater variability
BRAINLEST TO THE PERSON WHO CAN ANSWER BOTH !
Answer:
Question 7: False, False, true
Question 8: B
Step-by-step explanation:
A right square pyramid has a slant height of 25 feet, and the length of a side of the base is 14 feet. What is the height of the pyramid?
Answer: [tex]24\ ft[/tex]
Step-by-step explanation:
Given
The slant height of the square pyramid is [tex]l=25\ ft[/tex]
The length of the side of the base is [tex]a=14\ ft[/tex]
for the square pyramid, height is given by
[tex]\Rightarrow h=\sqrt{l^2-r^2}\quad \quad [\text{where r=}\frac{a}{2}]\\\Rightarrow h=\sqrt{25^2-7^2}\\\Rightarrow h=\sqrt{625-49}\\\Rightarrow h=\sqrt{576}\\\Rightarrow h=24\ ft[/tex]
Thus, the height of the prism is [tex]24\ ft[/tex]
which expression below has a value in between 0 and 1?
a) 5(^-2)*1
b) (3^2)^3
c) 1/2*2^3
3(^-2)*3^3
Rosa says 4x and -6x are like terms, so they can be combined. Tiffany says 5a and 5b are like terms, so they can be combined. Is Rosa correct? Is Tiffany correct? Why or why not?
please help =)
Answer:
Rosa is correct, it's the variable that determines if something has like terms, not the coefficients.
Step-by-step explanation:
. A sequence starts with 180, 120, …. If the sequence is arithmetic, create a recursive and explicit formula for the sequence. If the sequence is geometric, create a recursive and explicit formula for the sequence.
Answer:
Arithmetic Sequence
[tex]T_n = 240-60n[/tex] ---- Explicit
[tex]T_n = T_{n-1} - 60[/tex] --- Recursive
Geometric Sequence
[tex]T_n = 270* (\frac{2}{3})^n[/tex] ---- Explicit
[tex]T_n = T_{n-1} * \frac{2}{3}[/tex] ---- Recursive
Step-by-step explanation:
Given
[tex]180, 120,....[/tex]
(a) Assume it is an arithmetic sequence
The explicit formula is calculated using:
[tex]T_n = a + (n - 1)d[/tex]
Where
[tex]a = 180[/tex]
[tex]d = 120 - 180[/tex]
[tex]d = -60[/tex]
So, we have:
[tex]T_n = 180 + (n - 1)*-60[/tex]
[tex]T_n = 180 -60n + 60[/tex]
Rewrite
[tex]T_n = 180 + 60-60n[/tex]
[tex]T_n = 240-60n[/tex]
The recursive function is calculated using:
[tex]T_1 = 180[/tex]
[tex]T_2 = 120 = 180 - 60 = T_1 - 60[/tex]
[tex]T_3 = 60 = 120 - 60 = T_2 -60[/tex]
-
[tex]T_n = T_{n-1} - 60[/tex]
(b) Assume it is a geometric sequence
The explicit formula is calculated using:
[tex]T_n = ar^{n-1}[/tex]
Where
[tex]a = 180[/tex]
[tex]r = \frac{120}{180}[/tex]
[tex]r = \frac{2}{3}[/tex]
So, we have:
[tex]T_n = 180 * (\frac{2}{3})^{n-1}[/tex]
Split
[tex]T_n = 180 * (\frac{2}{3})^n \div (\frac{2}{3})^1[/tex]
[tex]T_n = 180 * (\frac{2}{3})^n \div (\frac{2}{3})[/tex]
Rewrite as:
[tex]T_n = 180 * (\frac{2}{3})^n * (\frac{3}{2})[/tex]
[tex]T_n = 180 * (\frac{3}{2})* (\frac{2}{3})^n[/tex]
[tex]T_n = 180 * \frac{3}{2}* (\frac{2}{3})^n[/tex]
[tex]T_n = 90 * 3* (\frac{2}{3})^n[/tex]
[tex]T_n = 270* (\frac{2}{3})^n[/tex]
The recursive function is calculated using:
[tex]T_1 = 180[/tex]
[tex]T_2 = 120 = 180 * \frac{2}{3} = T_1 * \frac{2}{3}[/tex]
[tex]T_3 = 80 = 120 * \frac{2}{3} = T_2 * \frac{2}{3}[/tex]
-
[tex]T_n = T_{n-1} * \frac{2}{3}[/tex]
Find the area of this triangle
Answer:
6km² sounds like a reasonable answer
What is the slope of a line parallel to the line whose equation is 15x+9y=-16215x+9y=−162. Fully simplify your answer.
Answer:
-5/3
Step-by-step explanation:
Any line parallel to the given line will have the same slope as the given equation;
Given the equation 15x+9y=-162
Rewrite in standard from y = mx+b
15x+9y=-162
9y = -15x - 162
y = -15/9 x - 162/9
y = -5/3 x - 18
This gives the required equation;
Since mx = -5/3 x
m = -5/3
Hence the slope of the line parallel to the given line is -5/3
Find the magnitude and directon of F +ū.
Answer:
Step-by-step explanation:
Find the area of a circle with diameter 8 in.
Use the value 3.14 for n, and do not round your answer.
Be sure to include the correct unit in your answer.
Answer:
Step-by-step explanation:
50.27 should be the area of a circle that has a radius of 4 in.
RIGHT ANSWER WILL BE MARK BRAINLIEST
PLease answer!!! 30 points!!!
Answer:
a
Step-by-step explanation:
They make a right angle. A right angle adds up to 90.
Answer:
C.Step-by-step explanation:
Hopes this helps. Mark as brainlest plz!A color wheel is divided into 6 equal pieces. Select all of the true statements about the pieces of the color wheelA color wheel is divided into 6 equal pieces. Select all of the true statements about the pieces of the color wheel
Answer:
sidekick egocentric Jayco
Which is equivalent to 3 X 3 X 3 X 3 X 3 A 3x5 B 3^3 C 5^3 D 3^5
Answer:
2x+5x-6
Step-by-step explanation:
How to find the central angle
Answer:
x = 50
Step-by-step explanation:
Note that the 3 interior angles must sum up to 180 degrees:
50 + x + 80 =180, or
50 + x = 100, or
x = 50
What is sec 0 when cot 0 = -4V2? 0 (1,0) [?] [ ] Rationalize the denominator if necessary. sec 0 =
Answer:
[tex]Sec~ 0=\frac{\sqrt{66} }{8}[/tex]
Step-by-step explanation:
[tex]Cot~0=-4\sqrt{2}[/tex]
[tex]Sec~0=\sqrt{33}/4\sqrt{2}[/tex]
[tex]=\sqrt{33}/4\sqrt{2} *4\sqrt{2} /4\sqrt{2}[/tex]
[tex]=4\sqrt{66} /32[/tex]
[tex]= \sqrt{66}/8[/tex]
᪥༄᪥༄᪥༄᪥༄᪥༄᪥༄
hope it helps...
have a great day!!!
Read the excerpt from Martin Luther King Jr.’s "I Have a Dream” speech.
We can never be satisfied as long as the Negro is the victim of the unspeakable horrors of police brutality. We can never be satisfied as long as our bodies, heavy with the fatigue of travel, cannot gain lodging in the motels of the highways and the hotels of the cities. We cannot be satisfied as long as the Negro's basic mobility is from a smaller ghetto to a larger one.
Why does King repeat the phrase "we can never be satisfied”? Select 3 options.
to inspire listeners
to demand action
to explain racial differences
to show negativity
to rally emotional support
to accept current treatment
PLZZ HELP I HAVE A TIMER
Answer:
1. To Inspire Listeners
2. To Demand Action
5. To Rally Emotional Support
Step-by-step explanation:
I just took the test:)
A king bed measures 76 inches wide by 80 inches long. How much does the length exceed the width?
A) 4 inches
B) 7 inches
C) 11 inches
D) 14 inches
Answer:
A) 4 inches
Step-by-step explanation:
The length is 80 inches and the width is 76 inches. To find the difference subtract 80 minus 76 and you get 4... the amount that is exceeding the width!
Have a wonderful day!
Answer:
A. 4 inches
Step-by-step explanation:
In order to find by how much the length exceeds the width we have to subtract width from the length in order to get the difference between the two lengths, and so we get...
80 - 76 = 4
Therefore the answer is A. 4 inches
It takes Jada 20 minutes to walk to school. It takes Andre 80% as long to walk to
school.
How long does it take Andre to walk to school?
Answer:
16
Step-by-step explanation: