Answer and explanation:
The connection of the rope from the stake to the pole will form a triangle so that one side is the hypotenuse(the rope), another is the opposite side(the pole) and the other is the adjacent side(the distance from the stake to the pole).
The unknown side is the adjacent side which is the distance from the stake to the pole. To find an unknown side in a triangle in this form, we use the Pythagorean theorem.
Therefore c²=a²+b²
c=20ft
a= 7ft
b= unknown
So we use the formula to find unknown side(distance from stake to base of pole)
20²=7²+b²
400=49+b²
b²=400-49
b²= 351
b=√351
b= 18.735ft
Therefore distance from stake to base of pole = 18.735 feet
One inch is about 2.54 centimeters. About how many centimeters is 4.5 inches?
A. 11.4 B. 114 C. 1.8 D. 13.7
Answer:
11.43
Step-by-step explanation:
cause im smart.........
Answer:
the answer is A
Step-by-step explanation:
If 1 inch is 2.54 cm then 4.5 inches is equal to 2.54 X 4.5
HELP PLEASE IS IT A OR B
Answer:
its b as the variables have no values
3x^2 + 9x + 4x + 12
Answer:
steps below
Step-by-step explanation:
3x² + 9x + 4x + 12 = 3x² + 13x +12 = (x+3)(3x+4)
if 3x² + 9x + 4x + 12 = 0 x = -3 or x = - 4/3
1. In 1980, approximately 6 million women enrolled in college in the United States. The number of women who enroll in college has increased at a rate of 0.14 million women per year. There were about 5.4 million men enrolled in college in 1980, and that number has increased at a rate of 0.08 million men per year. In what year (prior to 1980) were an equal number of men and women enrolled in college?
Answer:
Step-by-step explanation:
First, you can plot this using a table. One side can be 'Women' and the other 'Men'. One the vertical side of it, write '1980', '1981', '1982', etc., for maybe fifteen years to be on the safe side. Then, your starting value is 6 million and 5.4 million, respectively.
Finally, start adding up, It will be, 6.14 million, 6.28 million, etc., and 5.4 million, 5.48 million, etc.
Once you're done, you can circle the year both were the same, and you can even plot this on a graph
Answer:
What he said above me and he is correct
Step-by-step explanation:
Mr. Smith wants to order some pizza and cheese pizza cost $11 and pepperoni pizza cost $12.50 if you bought 13 pieces total and paid $153.50 how many pepperoni pizza did he buy
Answer: Mr Smith bought 7 pepperoni pizza
Step-by-step explanation:
Step 1
cost of cheese pizza =$11
pepperoni pizza cost =$12.50
let number cheese pizza be represented as c
and number of pepperoni pizza be represented as p
such that the total number of pizza bought which equals 13 can be represented as
c+ p= 13
and total cost of both pizza can be expressed as
11c+ 12.50p =153.50
Step 2 Solving
c+ p= 13
11c+ 12.50p =153.50
By elimination method, Multiply equation 1 by 11 and subtract the new equation from equation 2
11c+ 12.50p =153.50
11c+ 11p=143.
1.5p =10.5
p= 10.5/ 1.5 =7
c+ p= 13
c= 13-p =13-7=6
Therefore Mr Smith bought 6 cheese pizza and 7 pepperoni pizza
someone please help me
Answer:
104 I think
Step-by-step explanation:
8 x 14 divided by 2 is 56 so 6 x 8 = 48 and 48 + 56 = 104
Answer:
The volume of this triangular prism is equal to 336 [tex]feet^{3}[/tex]
Step-by-step explanation:
In order to solve this question, we need to know that the volume of a triangular prisim is equal to the area of the triangular base time the distance between the two triangular bases. And so we get...
[tex]V = (\frac{bh}{2})(d) = (\frac{(8)(14)}{2})(6) = (56)(6) = 336[/tex]
Therefore the area of this triangular prism is equal to 336 [tex]feet^{3}[/tex]
Please help i will give brainly FIRST PERSON TO GET IT RIGHT EVERY TIME I POST A QUESTION YOU WILL ALWAYS GET BRAINLY
Enter the number that belongs in the green box.
x = 90°
that's the answer
Answer:
90
Explanation
vertical angles and right angles in a quadrilateral
There are some Chicken and rabbits in a cage. There are 20 heads and 62 feet in total, the question is: how many chicken and rabbits in the cage?
Answer:There are 72 heads (chicken and rabbit) and 200 legs. How many chickens and rabbits are present totally?
Step-by-step explanation
There are 72 heads (chicken and rabbit) and 200 legs. How many chickens and rabbits are present totally?
Legs of a chicken = 2
Legs of a rabbit = 4
Total heads = 72
Total legs= 200
Let's assume that each of them has minimum 2 legs.
So 72*2 = 144 legs
Remaining legs: 200-144= 56
These remaining legs belong to rabbit because rabbit has 4 legs each.
2*Rabbits= 56
Rabbits= 56/2 = 28
Out of 72, 28 are rabbits. So there are 72-28= 44 chicken.
Write the ratio of 24 cats to 16 dogs in simplest form in 3 ways explain or show your work
Answer:
3:2
3 to 2
3/2
Step-by-step explanation:
24/16 reduces to 3/2.
Answer:
3/2 5/3 12/8
Step-by-step explanation:
8.12
Given the diagram below, what is cos(45") ?
450
Triangle not drawn to scale
A. 2-3
B. 4/2
C.
D. JE
The value of cos 45° in the given triangle is 1/√2, Option C is correct.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
In the given right triangle the hypotenuse is 8√2
In the given triangle the two legs are equal.
Let x be the length of the two legs
By Pythagoras theorem, let us find the length of a leg.
x²+x²=(8√2)²
2x²=64(2)
2x²=128
Divide both sides by 2
x²=64
Take square root on both sides
x=8
Now let us find the cosine function, the ratio of adjacent side and hypotenuse
cos45 = 8/8√2
=1/√2
Hence, the value of cos 45° in the given triangle is 1/√2, Option C is correct.
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expand and simplify (3X+1)(2X+4)
Answer:
6x square +14x+4
Step-by-step explanation:
hope this helps................
Answer:
6x^2+14x+4
Step-by-step explanation:
6x^2+12x+2x+4
6x^2+14x+4
Ranbir bought a rectangular field of area 24000 square metres and width 120 m. He wants to fence it with two rounds of wire. Find the length of wire that will be required to fence the field.
Answer:
640 metres
Step-by-step explanation:
Area of a rectangular field = 24000 square metres
Width of a rectangular field = 120 metre
Also,
Area of a rectangular field = Length × Breadth
24000 = Length × 120
Length = [tex]\frac{24000}{120}=200[/tex] metre
Length of wire required to fence the field = Perimeter of the rectangular field
= 2 (length + width)
= 2 (200 + 120)
= 2 (320)
= 640 metres
35% of 15% of x is equivalent to which of the following?
A. 0.0525x
B. 0.125x
C. 0.25x
D. 0.525x
E. 5.25x
Answer:
a
Step-by-step explanation:
.35x.15=0.0525
What is the measure of N
Answer:
No picture sorry
Janie ordered boxed lunches for a student advisory committee meeting. Each lunch costs $4. The total cost of the lunches is $47, including a $7 delivery fee. Write and solve an equation to find x, the number of boxed lunches Janie ordered.
Answer:
10 lunches
Step-by-step explanation:
$47-$7=$40
40/4=10
Hello, 928747!
So we are trying to find how many boxed lunches Janie ordered.
Each box is $4.00 and the total cost is $47.00 + delivery fee of $7.00
So to find this, we will first subtract the delivery fee because that does not count towards the lunches.
47 - 7 = 40
So the boxed lunches cost $40.00
To find how many Janie ordered, we will divide 4 by 40
40 ÷ 4 = 10
So Janie bought 10 boxed lunches.
The equation would be (47 - 7) ÷ 4
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A man is 32 years older than his daughter and the product of their ages is 320..
(a) Find the ages of the man and the daughter.
(b) In how many years' time will the daughter's age be one- third of her father's age?
Pls help me
The age of the man is 40 years and that of his daughter is 8 years respectively.
How to solve a linear equation?A linear equation can be solved by equating the LHS and RHS of the equation following some basic rules such as by adding or subtracting the same numbers on both sides and similarly, doing division and multiplication with the same numbers.
Suppose the age of man be x.
Then, age of his daughter is x - 32.
As per the question the following equation can be formed for the product of ages as ,
x(x - 32) = 320
⇒ x² - 32x - 320 = 0
⇒ x = 40, -8
Since, age of a person cannot be a negative value, it is taken as positive.
Thus, the age of daughter is 40 - 32 = 8
Hence, the age of the man and his daughter is obtained as 40 and 8 years respectively.
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Calculate the vapor pressure (in torr) of a solution containing 0.2 moles of solute dissolved in 10 moles of water at 25°C. Vapor pressure of pure water at 25°C is 23.8 torr. Enter text here Enter 2021 Acellus Corporation. All Rights Reserved. C
Answer:
the vapor pressure of a solution at 25°C that contains 76.6 g of glucose (180.2 g/mole) in 250.0 mL of water. The vapor pressure of pure water at 25°C
Step-by-step explanation:
your answer is: 22.9 torr at 25°C
Explanation:
When a non volatile solute is added to a pure solvent, the vapour pressure of the mixture decrease regard to the pure solvent following the equation
Where vapour pressure of the pure solvent (Water) is 23.8torr at 25°C.
Mole fraction of water is the ratio between moles of water and total moles in solution. The solution has a mole fraction of water of:
Replacing in Raoult's law:
Vapor pressure of the solution is 22.9 torr at 25°C
hope this helps!
At one time the aircraft is 150 m above the surface, the submarine is 25 m below the surface, and the underwater robotic vehicle is 186 m below the surface. What is the difference in height between the submarine and the aircraft
Answer:
[tex]175[/tex] meter is difference in height between the submarine and the aircraft
Step-by-step explanation:
The height of aircraft above the surface [tex]= 150[/tex] meter
Depth at which the submarine lies below the surface [tex]= 25[/tex] meter
Depth at which the underwater robotic vehicle below the surface [tex]= 186[/tex] meter
Difference in height between the submarine and aircraft is equal to
[tex]25 +150 = 175[/tex] meter
Complete the statement with , or =.
5/5 ___ 1
Answer:
=
Step-by-step explanation:
Answer:
5/5=1
Step-by-step explanation:
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Complete the following proof.
Given: AB is diameter of circle O.
AC and BD are tangents
Prove: AC parallel to BD.
Answer:
The statements are in regular print, the reasons are bolded
Step-by-step explanation:
1st:AB is the diameter of circle o. Both 1 and 2 are Given
2nd: AC and BD are tangents.
3rd:Ab is perpendicular to AC , AB is perpendicular to BD. Radius is perpendicular to tangent
4th: AC is parallel to BD Lines parallel to same line are congruent.
10(-9 +(-16)) =
??????
Answer:
-250
Step-by-step explanation:
10(-9-16)
10(-25)
-250
Answer:
10(-9-16)=10(-25)
=10-25
=-15
Please Help Me!!!
Andre is making paper cranes to decorate for a party. He plans to make one large paper crane for a centerpiece and several smaller paper cranes to put around the table. It takes Andre 10 minutes to make the centerpiece and 3 minutes to make each small crane. He will only have 30 minutes to make the paper cranes once he gets home.
Andre wrote the inequality 3x + 10 ≤ 30 to plan his time. Describe what x, 3x, 10, and 30 represent in this inequality.
Solve Andre’s inequality and explain what the solution means.
Answer:
6 small cranes
Step-by-step explanation:
3x + 10 is less than or equal to 30
3 is the minutes for the small cranes
X is the amount of small cranes
10 is the minutes for the large crane
30 is the total time limit
first, subtract 10 from 30, which gives you 20 so
3x is less than or equal to 20.
to figure this out, divide 20 by 3, which gives you 6 with a remainder of two minutes.
Andre can make 6 small cranes.
When liquid silver nitrate and liquid sodium chloride are combined, solid silver chloride forms along with a new liquid, sodium nitrate. Which substance represents the precipitate?
Answer:
sodium chloride
Step-by-step explanation:
It is the chemical element (symbol Na) with an atomic number of 11 and atomic weight of 22.98977. It is a soft, waxy, silvery, reactive alkali metal that is never found unbound in nature.
solve the equation (3x-5)=16
with working
=
Answer:
x=7
Step-by-step explanation:You can plug in the value for x and solve to see if true.
what is x + 7 equals 10 + 2
Answer:
x=5
Step-by-step explanation:
x+7=10+2
x+7-7=12-7
x=5
please help me with this problem
Answer:
6.75
Step-by-step explanation:
We are given that function
[tex]f(x)=\frac{9x-18}{4}[/tex]
5 is an element in the domain of f(x)
i.e
x=5
We have to find the corresponding element of 5 in the range of f(x).
Substitute x=5 in the given function
[tex]f(5)=\frac{9\times 5-18}{4}[/tex]
[tex]f(5)=6.75[/tex]
Hence, the corresponding element of 5 is 6.75 in the range.
Solve the formula 5x + y = 18 for y.
Answer:
y=18-5x
Step-by-step explanation:
please help im timed
how would you solve 17=w/4?
Answer:
Solution for 17=w-4 equation:
17=w-4
We simplify the equation to the form, which is simple to understand
17=w-4
We move all terms containing w to the left and all other terms to the right.
-1w=-4-17
We simplify the left and right sides of the equation.
-1w=-21
We divide both sides of the equation by -01 to get w.
w=21
Step-by-step explanation:
Answer:
68
Step-by-step explanation:
17/1 = w/4
w.1=17.4
w= 68
GUYS HELP
-5 = -11 + 2m