Step-by-step explanation:
1 week = 7 days
Therefore 1 week = 60,000 letters
=> 7 days = 60,000 letters
=> 1 day = 60,000 / 7 = 8571.4... letters
Hence Obama receives around 8,571 letters per day.
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Answer:
Shredder A shreds about 3.67 pounds of paper per minute.
Step-by-step explanation:
1100 pounds/(5 * 60 minutes)
1100 pounds/300 minutes
3.6666...7 pounds/minute
3.67 lb/min
7/10 × 4/9 as a fraction
Answer: 14/45
Step-by-step explanation:
1. Write out the law of cosines and find the hypotenuse of triangle with 2 sides lengths equal to three and the included angle measuring 75 degrees.
2. What happens in law of cosines formula if the angle from the above question is changed to 90 degrees.
Answer:
1.) [tex]\sqrt{13.341}[/tex] ≈ 3.652
2.) I would say something about how the A in front of cos in the equation would change to 90, rather than stay 75 (in the equation for the step by step), but it would be easier to just use the Pythagorean theorem.
Step-by-step explanation:
I think we may have the same class so hopefully this helps:
1.) [tex]a^2 = b^2 + c^2 - 2bccosA[/tex] --> law of cosines formula.
[tex]a^2 = 3^2 + 3^2 - 2(3)(3)cos(75)[/tex] --> plugged in numbers; when you draw the triangle, the included angle would be A, and the opposite side would be a. B and b, and C and c are opposite each other. In this case, a is the hypotenuse.
[tex]a^2 = 18 - 18cos75[/tex] --> in between steps.
[tex]a^2 = 13.341[/tex] --> more simplifying.
[tex]a(hypotenuse) = \sqrt{13.341} or 3.652[/tex] --> answer
2.) This one is just an explanation: The 75 in the equation is the given angle, which is a. If this changes, it would just change in the equation too. And obviously, if it's 90 degrees, you can just use Pythagorean theorem a^2+b^2=c^2.
Good luck! :)
Give an example of a real-world cost that depends on an unknown amount of something. Try to create an expression to represent the total cost.
Answer:
Ok, let's suppose that the unknown amount is the number of books you buy in a library. (let's represent this unknown quantity with the variable X)
We know that each book costs $9.75, and we know that in total cost for the X books is $68.25
Then, how many books do you get?
We know that if one book costs $9.75, then X books will cost X times $9.75
Then the total cost is:
C(X) = X* $9.75
And we know that the total cost was $68.25
Then to solve this, we need to solve the equation:
X* $9.75 = $68.25
X = $68.25/$9.75 = 7
The equation that can be used to represent the information is the cost of a book is $3, find the number of books when a customer pays $21.
To represent the scenario, the cost of a book is $3, find the number of books when a customer pays $21.
Therefore, the number of books will be:
3x = 21
x = 21/3
x = 7
In conclusion, the correct option is $7.
Learn more about equations on:
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The rectangular pool is 45 feet x 18 feet. The fence needs to be 5 ft away from the edges of the pool or a 5 ft border. How many feet of fencing would you need? The area is 810ft
Answer:
The length of fencing is 146 feet.
Step-by-step explanation:
The length of fencing is equal to the perimeter of the rectangle plus 8 times the width of the border between the edge of the pool and the fence. By Geometry, we find that the perimeter ([tex]p[/tex]), measured in feet, is equal to:
[tex]p = 2\cdot (w+f)+2\cdot (l+f)[/tex] (1)
Where:
[tex]w[/tex] - Width of the pool, measured in feet.
[tex]l[/tex] - Length of the pool, measured in feet.
[tex]f[/tex] - Width of the border, measured in feet.
If we know that [tex]w = 45\,ft[/tex], [tex]l = 18\,ft[/tex] and [tex]f = 5\,ft[/tex], then the length needed of fencing is:
[tex]p = 2\cdot (45\,ft+5\,ft)+2\cdot (18\,ft+5\,ft)[/tex]
[tex]p = 146\,ft[/tex]
The length of fencing is 146 feet.
The circumference of a circle is 39.25 mm. What is the length of its diameter?
Answer:
d≈12.49mm
Step-by-step explanation:
Answer:
12.5
Step-by-step explanation:
C = 2pir
39.25 = 2pir
(divide both sides by 2pi)
12.49366 = r
15s-100=350 what is the value of s
Answer:
30
Step-by-step explanation:
15s-100=350
15s=350+100
15s=450
s=450/15
s=30
What symmetries have a parallelogram
Answer:
Rotational Symmetry
Step-by-step explanation:
Parallelograms have no lines of symmetry. But they do have rotational symmetry at 180°.
3(-2a-4)+3a I need to answer for this for khan academy, the answer options are
-6a-12+3a
3a+12
none of the above
Answer:
1+1 = 1111111111111111111111
A line and a point _______ intersect
1. Always
2. Sometimes
3. Never
Hi please help me thank you!
THe correct option is the 3rd option
I WILL GIVE BRAINLY! PLEASE HELP! PLEASEEEEE!!
Bob walks up to a tank of water that can hold 75 gallons. When it is active, a drain empties water from the tank at a constant rate. When Bob first sees the tank, it contains 15 gallons of water. 4 minutes later, the tank contains 12 gallons of water.
A. At what rate is the amount of water in the tank changing? answers: 3/4, -3, -3/4, 3
B. How many more minutes will it take for the tank to drain completely?
C. How many minutes before Bob arrived was the tank completely full?
Answer:
A) -3/4
B) 15 more minutes
C) 80 minutes
Step-by-step explanation:
A. rate of change = -3/4
B. 16 minutes
C. 1 hour 20 minutes
What is slope?The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run.
Given:
A) At first the tank contain 15 gallons of water.
After 4 minutes the tank contain 12 gallons of water.
So, rate of change
=12-15/4-0
=-3/4
=-3/4
B) now, Let x be the number of minutes will it take for the tank to drain completely.
So,
(3/4 gallons per minute) *x = 12 gallons
x = 12*4/3
x = 16 minutes
C) As, the tank has capacity of 75 gallons.
So, the tank of water is full when there is 10 gallons of water which is 60 gallons more.
Let 'y' be the number of minutes before Bob arrived when the water tank was completely full.
(3/4) (y) = 60
y = 60*4/3
y= 80 minutes
y= 1 hour 20 minutes
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What animal has the most bones
Answer:
Pythons is the answer
25 . Which of the terms given can you write in the blank box so that the equation will have infinitely many solutions?
4x - 36 = ☐ (x-9)
26. Which equation has infinitely many solutions?
A) 12 + 4a = 6a + 1- - 2a
B) 5a + 14 - 4a = 23 + a - 9
C) a + 9 - 8a = 2a + 17 - 8
D) 4a - 2a = 20
27. Which equation has no solution?
A) 6c - 2c - 5 = 2 (3c - c) - 5
B) 3 (c + 4) = 2 (c + 6) + c
C) 4 (c - 8) = 24
D) 12 (c - 4) = 6 (2c + 4)
28. Solve the equation: -6x - 8 = 2x - 4
Answer:
25: 4
Step-by-step explanation:
4 times x equals 4x and 4 times 9 equals 36 so that means that the equation is 4x-36=4x+36 which -36 + 36 is nothing to it would be left off with 4x=4x so it would be infinite
12 batteries cost $30 = ? dollars per battery
Answer:
2.50
Step-by-step explanation:
You just divide 30 by 12... and that will give you the cost of one battery.
Find the value of x in the given
right triangle.
10
37°
x = [?]
Enter your answer as a decimal rounded to the
nearest tenth.
Enter
Answer:
x = 6.0
Step-by-step explanation:
As the given triangle is a right-angled triangle, we can use the trigonometric ratios to find the required length.
In the given triangle
Hypotenuse = 10
Perpendicular = x
Angle = 37°
As we know the value for perpendicular and hypotenuse, sine will be used.
[tex]sin\ 37 = \frac{Perpendicular}{Hypotenuse}\\sin\ 37 = \frac{x}{10}\\0.6018 = \frac{x}{10}\\x = 0.6018*10\\x = 6.018[/tex]
Rounding off to nearest tenth
x = 6.0
Hence,
x = 6.0
PLEASE HELP ME ASAP!!! i need help!!!
Answer:
fourth option
Step-by-step explanation:
Using the sine and cosine ratios in the right triangle and exact values
sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , cos60° = [tex]\frac{1}{2}[/tex] , then
sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{4\sqrt{2} }[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2x = 4[tex]\sqrt{6}[/tex] ( divide both sides by 2 )
x = 2[tex]\sqrt{6}[/tex]
---------------------------------------------------------
cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{y}{4\sqrt{2} }[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2y = 4[tex]\sqrt{2}[/tex] ( divide both sides by 2 )
y = 2[tex]\sqrt{2}[/tex]
what would the angle be! asap answer
Answer:
x = 111°
Step-by-step explanation:
Angles in a triangle add up to 180
180 - (29+82) = 69
Angles on a straight line add up to 180
180 - 69 = 111
Answer:
111°
Step-by-step explanation:
the sum of the outer angles of a triangle is alway 180
so 180-82-29= 69°
180-69= 111°
Please help me with this
Answer: 1/7
Step-by-step explanation:
slope = y2-y1/x2-x1
(10 - 9) / (8-1) = 1/7
21. BRAINLIEST! URGENT!
Answer:
100
Step-by-step explanation:
here we are solving for x
first plug in 100 for the ys in the equation
0.10x + 0.10(100) = 0.18(x + 100)
simplify
0.10x + 10 = 0.18x + 18
get x by itself
-8 = 0.08x
-100 = x
so the reasonable answer here would be 100
hope this helps <3
Casi drove 135 miles in 3 hours. Use a proportion to find how long it would take her to drive 360 miles at the same speed.
Answer:
8 hours
Step-by-step explanation:
We are given that
Casi traveled distance in 3 hours=135 miles
We have to find the time taken by Casi to drive 360 miles at the same speed using proportion .
Let time taken by Casi to drive 360 miles=x
We know that
Speed=[tex]\frac{Distance}{time}[/tex]
Using proportion
[tex]\frac{a}{b}=\frac{c}{d}[/tex]
[tex]\frac{135}{3}=\frac{36}{x}[/tex]
[tex]x=\frac{360\times 3}{135}[/tex]
[tex]x=8[/tex]
Hence, the time taken by Casi to drive 360 miles=8 hours
An artist mixes 25 ounce of blue paint with 115 ounce of green paint. Using the same ratio, how many ounces of green paint should she mix with 3 ounces of blue paint?
Answer:
Ounces of green paint needed = 13.8
Step-by-step explanation:
Blue paint : green paint = 25 : 115
how many ounces of green paint should she mix with 3 ounces of blue paint?
Let
Ounces of green paint needed = x
Blue paint : green paint = 3 : x
Equate both ratios
25 : 115 = 3 : x
25/115 = 3/x
25 * x = 115 * 3
25x = 345
x = 345/25
x = 13.8 ounces
Ounces of green paint needed = 13.8
The sum of outer angles of a polygon is twice the sum of inner angles. How many sides does it have?
Answer:
3 sides
Step-by-step explanation:
sum of exterior angles for all polygons is 360°
sum of interior angles for a polygon can be found by using the formula:
(n - 2) · 180° where 'n' is the number of sides
'sum of outer angles' = 360
'twice the sum of inner angles' = 2n
360 = 2n
n = 180
a three-sided polygon (triangle) has 180 degrees
Solve for x!!
1) x + 2(1.5x - 6) = 16
A) 4.25
B) 6
C) 6.5
D) 7
Which of the following tables represent a proportional relationship?
Select all that apply.
Answer:
A, B, and D
Step-by-step explanation:
No time to explain
Answer:
Step-by-step explanation:
a b c d
please answer immediately.
1. Angle L
2. A
3. Side PL
4. Side AR
5. A and K
6. B
7. Side Br
8. A
9. T
10. TA
find the sum of the first 40 multiples of 7
Answer:
The number series 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, . . . . , 280. Therefore, 5740 is the sum of first 40 positive integers which are divisible by 7
Step-by-step explanation:
Aaron travels a total of 60 miles to school each week. Aarushi travels 75% of the miles Sharon travels to school each week. how many miles does Aarushi travel to school each week?
Answer:
45 miles
Step-by-step explanation:
Answer: 45 miles
HOPE THIS HELPS
1. A candy bowl in Blake’s kitchen has 12 red candies, 15 blue candies, 6 green candies, 11 yellow candies, and 16 orange candies. Blake randomly chooses one candy from the bowl without looking. What is the probability that he will choose a red, green, or orange candy? Express your probability answer as a fraction, decimal, and percent
plzzz help
Answer:
ask someone other
Step-by-step explanation:
30 Points!
f(x) = 2x -4; Find f(x + 3)
Answer:
[tex]f(x) = 2x - 4 \\ f(x + 3) = 2(x + 3) - 4 \\ = 2x + 6 - 4 \\ = 2x + 2 \\ = 2(x + 1)[/tex]
(2x+2) is the right answer.