Answers
Answer:
[tex]\sqrt{2000}\phantom{a}yards[/tex]
Step-by-step explanation:
For a right triangle, [tex]a^{2} =b^{2} +c^{2}[/tex], if a is the hypotenuse. So, [tex]60^{2} =40^{2} +c^{2}[/tex], and c is the the distance we are trying to find:
[tex]60^{2} =40^{2} +c^{2}[/tex]
[tex]3600=1600+c^{2}[/tex]
[tex]c^{2} =2000[/tex]
[tex]c=\sqrt{2000}\phantom{a} yards[/tex]
Related Questions
Determine the seating capacity of an auditorium with 30 rows of seats if there are 20 seats in the first row, 24 seats in the second row, 28 seats in the third row, and so on
Answers
Answer:
The seating capacity of the auditorium is 2,340.
Step-by-step explanation:
This question relates to an Arithmetic Progression (AP).
An Arithmetic Progression (AP) is a sequence of numbers in which the differences of every two consecutive numbers or terms are constant or the same.
Therefore, the seating capacity can be calculated using the an arithmetic progression (AP) formula as follows:
Seating capacity = (n / 2) * (2a_1 + (n - 1)d) ...................... (1)
Where;
n = number of rows = 30
a_1 = Number seats in the first row = 20
d = Common difference = 24 - 20 = 28 - 24 = 4
Substituting the values into equation (1), we have:
Seating capacity = (30 / 2) * ((2 * 20) + ((30 - 1) * 4))
Seating capacity = 15 * (40 + (29 * 4))
Seating capacity = 15 * (40 + 116)
Seating capacity = 15 * 156
Seating capacity = 2,340
Therefore, the seating capacity of the auditorium is 2,340.
will give BRAINLIEST
Find the area of each circle
. Round to the nearest tenth.
Answers
Answer:
13: 312yd squared
14: 907.5 rounded up but not rounded is 907.46
Step-by-step explanation:
this is because the formula is pi*r^2 so you'd
Step by step:
1. 20yd/2= 10 to get the radius for 13
2. substitute r in the formula pi*r^2 for 10 making it pi*10^2
3. multiply 10 by itself, 10*10=100
4. multiply pi by 100, 3.14*100= 314
314yd^2 is the answer for 13
14:
1. 34ft/2=17 to get the radius for 14
2. substitute r on the formula pi*r^2 for 17 making it pi*17^2
3. multiply 17 by itself, 17*17=289
4. multiply pi by 289, 3.14*289=907.46
5. round 907.46 to the nearest tenth, 907.5
907.5ft^2 is your answer
hope this helps :)
What is 2.53 Times 57.62
Answers
Answer:
145.7786
simplified to 145.78
Step-by-step explanation:
Answer:
The answer is 145
La mitad de la edad que tenia anahí hace 27 años equivale a la cuarta parte de la edad que tendrá dentro de 5 años. ¿ qué edad tiene actualmente anahí?
Answers
Responder:
59 años
Explicación paso a paso:
Asumir que:
Edad actual = x
Edad 27 años atrás = x - 27
Edad dentro de 5 años = x + 5
La mitad de la edad de hace 27 años = 1/2 (x - 27)
Cuarto de edad dentro de cinco años = 1/4 (x +5)
0,5 (x - 27) = 0,25 (x + 5)
0.5x - 13.5 = 0.25x + 1.25
0.5x - 0.25x = 1.25 + 13.5
0,25 veces = 14,75
Dividir por 0,25
0,25x / 0,25 = 14,75 / 0,25
x = 59
Por lo tanto, la edad de Anahí ahora es de 59 años.
La edad actual de Anahí es de 59 años.
Sabemos por la pregunta que la mitad de la edad que tenía Anahí hace 27 años equivale a la cuarta parte de la edad que tendrá dentro de 5 años.
Para escribir esto como una ecuación, sea y la edad actual;
1/2(s - 27) = 1/4(y + 5)
El MCM de 2 y 4 es 4 por lo tanto;
4/2(y - 27) = 4/4(y + 5)
2(s - 27) =(y + 5)
2y - 54 = y + 5
2y -y = 5 + 54
y = 59
La edad actual de Anahí es de 59 años.
Más información sobre ecuaciones: https://brainly.com/question/2263981
Can someone please help me? I can't find the h(x) for 0. I also need help with the last question. Please I need it very soon.
Answers
9514 1404 393
Answer:
see attachments for a table and graph
Step-by-step explanation:
I find it convenient to use a graphing calculator or spreadsheet to do repetitive computations reliably.
__
Your specific question asks for h(0):
h(0) = -|0 +2| +1 = -2 +1
h(0) = -1
You may want to check your other table values.
What is the distance between the points (2, 3) and (5, -4)?
Answers
Answer:
7.6158
Step-by-step explanation:
What is the solution to the system of equations?
y= 1/3x-10
2x + y = 4
Answers
34756Step-by-step explanation:
how much time will it take for the plane to land?
Answers
Answer:
Again assuming we're cleared for immediate take off, it takes around 20 minutes to climb to cruise altitude, at an average ground speed of (say) 200 knots. This means we've covered about 70 miles, which the cruising aircraft would have covered in just over 10 minutes. So this final phase has cost us another 10 minutes
At the candy shop, Ameenah sells chocolate covered raisins, c, for $1.50 per pound, and peanuts, p, for $1.20 per pound. Ameenah wants to make 20 pounds of a mixture of raisins and peanuts that sells for $1.35 a pound. How many pounds of each should she use?
Thanks! :)
Answers
Answer:
10 pounds of raisins and 10 pounds of peanuts.
Step-by-step explanation:
Let c represent the pounds of chocolate covered raisins.
Let p represent the pounds of peanuts.
We know that the raisins cost $1.50 per pound and the peanuts cost $1.20 per pound.
Ameenah wants to make 20 pounds of a mixture of the raisins and peanuts that sells for 1.35 a pound. So, we can write the following expression:
[tex]1.5c+1.2p[/tex]
This represents the cost given c pounds of raisins and p pounds of peanuts.
Ameenah wants to combine c and p to make them 1.35 per pound. In other words, the expression must equal:
[tex]1.5c+1.2p=1.35(c+p)[/tex]
We also know that she wants to make 20 pounds. So, c plus p must total 20. Therefore:
[tex]c+p=20[/tex]
We now have the system of equations:
[tex]\left\{ \begin{array}{ll} 1.5c+1.2p=1.35(c+p) \\ c+p=20\end{array}[/tex]
First, since we know that c+p is 20, we can substitute that into the first equation.
Second, let's subtract p from both side for the second equation to isolate a variable. So:
[tex]c=20-p[/tex]
Let's now substitute this into the first equation:
[tex]1.5(20-p)+1.2p=1.35(20)[/tex]
Distribute:
[tex]30-1.5p+1.2p=27[/tex]
Combine like terms:
[tex]-0.3p+30=27[/tex]
Subtract 30 from both sides:
[tex]-0.3p=-3[/tex]
Divide both sides by -0.3. So, the amount of peanuts needed is:
[tex]p=10[/tex]
10 pounds of peanuts is needed.
This means that 20-10 or 10 pounds of raisins is needed.
Answer:
10 pounds of both raisins and peanuts.
Step-by-step explanation:
¿Cuál es el volumen de un prisma octagonal cuyo lado de la base es de 2 cm
, apotema de 2.41 cm
y altura de 17 cm
?
Answers
Answer:
yes
Step-by-step explanation:
yes yes yes yes yes teehee
A student builds a model of her bathroom. The scale is 1:25. In the scale model, the students bed is 3 inches long.
HOW LONG IS THE STUDENTS ACTUAL BED?
PLS HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
75
Step-by-step explanation:
The answer is 75 because you have to cross mutiply:
1 3
25 x
3 x 25 is 75
please help this is due tomorrow!! (SQUARE ROOTS)
Ill give brainliest!! find the value
√b^6
3√-x^6
3√-y^9
Answers
Example: √12 is simpler as 2√3
Get your calculator and check if you want: they are both the same value!
Here is the rule: when a and b are not negative
√(ab) = √a × √b
And here is how to use it:
Example: simplify √12
12 is 4 times 3:
√12 = √(4 × 3)
Use the rule:
√(4 × 3) = √4 × √3
And the square root of 4 is 2:
√4 × √3 = 2√3
So √12 is simpler as 2√3
Another example:
Example: simplify √8
√8 = √(4×2) = √4 × √2 = 2√2
(Because the square root of 4 is 2)
And another:
Example: simplify √18
√18 = √(9 × 2) = √9 × √2 = 3√2
It often helps to factor the numbers (into prime numbers is best):
Example: simplify √6 × √15
First we can combine the two numbers:
√6 × √15 = √(6 × 15)
Then we factor them:
√(6 × 15) = √(2 × 3 × 3 × 5)
Then we see two 3s, and decide to "pull them out":
√(2 × 3 × 3 × 5) = √(3 × 3) × √(2 × 5) = 3√10
Fractions
There is a similar rule for fractions:
root a / root b = root (a / b)
Example: simplify √30 / √10
First we can combine the two numbers:
√30 / √10 = √(30 / 10)
Then simplify:
√(30 / 10) = √3
Some Harder Examples
Example: simplify √20 × √5√2
See if you can follow the steps:
√20 × √5√2
√(2 × 2 × 5) × √5√2
√2 × √2 × √5 × √5√2
√2 × √5 × √5
√2 × 5
5√2
Example: simplify 2√12 + 9√3
First simplify 2√12:
2√12 = 2 × 2√3 = 4√3
Now both terms have √3, we can add them:
4√3 + 9√3 = (4+9)√3 = 13√3.
What is the first step of the following division problem?
Answers
Answer:
There is no picture
Step-by-step explanation:
But... if i were to answer to any problem first thing u do is set it up with the numbers when doing long division
Write the equation of a line in slope intercept form that has a slope of -3 and passes through the point (0,7)
Answers
Customers of a certain credit card earn points for using the card. The table below shows the number of points earned for the amount spent. ( Photo Attached )
Predicted number of points for spending $10 :
___
Will give Brainliest (:
Answers
Answer:
Just hit continue.
Step-by-step explanation:
The predicted amount is for the second button only.
Each dollar spent does not always earn the same number of points.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Customers of a certain credit card earn points for using the card.
The table shows the number of points earned for the amount spent.
Now, By the given table which shows the number of points earned for the amount spent.
⇒ Number of points in 4 dollars = 36
Hence, Number of points in 1 dollars = 36/4 = 9
⇒ Number of points in 7 dollars = 56
Hence, Number of points in 1 dollars = 56/7 = 8
⇒ Number of points in 9 dollars = 72
Hence, Number of points in 1 dollars = 72/9 = 8
Thus, We get;
⇒ Each dollar spent does not always earn the same number of points.
Learn more about the mathematical expression visit:
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Time (seconds)
2
3
4
5
6
Height (cm)
14
21
28
35
42
Answers
Answer:
What do you need done?
Step-by-step explanation:
hi can someone help me with this
Answers
3y-9y+6+5.7
6y+11.7
You can’t do anything further bc y doesn’t equal anything
Answer:
=−12y+11.7 I believe it's that but I am not completely sure
I believe it is
Circle A has a diameter of approximately 20 inches and an area of approximately an area of 300 in² Circle B has a diameter of approximately 60 inches Which of these could be the area of circle B? A. About 100 in^2 B. About 300 in^2 C. About 900 in^2 D. About 2700 in^2
Answers
Answer:
D. About 2700 in^2
Step-by-step explanation:
The area of a circle A = πd²/4 where d = diameter of circle.
A/d² = π/4 = k the proportionality constant.
So, A₁/d₁² = A₂/d₂² Now for circle A, Area = A₁ = 300 in² and diameter = d₁ = 20 inches. For circle B, Area = A₂ = unknown and diameter = d₂ = 60 inches.
So, we have
A₁/d₁² = A₂/d₂²
A₂ = A₁d₂²/d₁²
A₂ = A₁(d₂/d₁)²
substituting the values of the variables, we have
A₂ = 300 in²(60 in/20 in)²
A₂ = 300 in²(3)²
A₂ = 300 in²(9)
A₂ = 2700 in²
So, the area of circle B is about 2700 in²
Find the slope of the line passing through the points (6, 1) and (6,-6).
Answers
Answer:
Slope = undefined
Step-by-step explanation:
Slope = (y2 - y1)/(x2 - x1)
(6, 1)
(6, -6)
1 - (-6)/6 - 6= 7/0
Slope = undefined
For reference:
0/x = 0
x/0 = undefined
Hope this helps!
3(x + 3) – 2 < 4 or 1 – x ≤ –1
Answers
Answer:
eu singer nuştiu
terog scuză
If x varies directly as y. Find x when y = 1 if x= 12 when y= 4
Answers
Step-by-step explanation:
x/y=constant
12/4=3
x/1=3
x=3
Here, if x varies directly as y. When y=1, then x=3.
Given that, x varies directly as y.
What are proportions?Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
If x= 12 when y= 4
Here, x varies directly as y is x∝y
⇒ x=ky
⇒ 12=k(4)
⇒ k=3
So, x=3y
When y=1, we have
x=3(1)
⇒ x=3
Here, if x varies directly as y. When y=1, then x=3.
To learn more about the proportions visit:
https://brainly.com/question/7096655.
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Which of the following is equivalent to 4x-3y=15
A.4/3x-5
B.-4/3x+5
C.4/3x+15
D.3/4x-5
Answers
Answer:
the answer is A
Step-by-step explanation:
A = 4/3x-5
Answer:
Step-by-step explanation:
B
(6th grade math)
adrian has 50$ she spent 12.45 at the movies and 10.19 at the bowling alley. how much money does she have left?
Answers
Answer:
$27.36
Step-by-step explanation:
To find how much she spent you add the costs of the movie and bowling alley: 22.64
Now you subtract that from the amount of money you had to get: 27.36
Hope this helps!
Answer:
Adrian has $27.36 left.
Step-by-step explanation:
First add up the total Adrian spent!
12.45 + 10.19 = 22.64
Now subtract that amount from $50
50.00 - 22.64 = 27.36
Therefore, Adrian has $27.36 left
Find the center and radius of the circle with the equation:
Answers
Answer:
where is the equation? And I will help.
Step-by-step explanation:
Answer:
i cant answer if there is no problome
Step-by-step explanation:
What is the answer to this question?
will get awarded with brainliest!
(6x-7)(2x+5)
Answers
hope it helps
NEED HELP ASAP. WILL GIVE BRAINLIEST
Which statement describes the equivalent vectors?
The magnitudes are 10, and the direction angles are about 18º
The magnitudes are 10, and the direction angles are about 162°
The magnitudes are 100, and the direction angles are about 18°
The magnitudes are 100, and the direction angles are about 162º.
Answers
Answer:
A) The magnitudes are 10, and the direction angles are about 18º
Step-by-step explanation:
got it right on edge :)
The statement describes the equivalent vector is A) The magnitudes are 10, and the direction angles are about 18º.
How to find the cross product of two vectors?Suppose that two vectors in consideration are u and v, then their cross product is evaluated as:
[tex]u \times v = |u|.|v|.sin(\theta)\hat{n}[/tex]
where
the normal unit vector whose direction is decided by right hand thumb rule, and theta is the angle between u and v vector.
The two bars around a vector represents the magnitude of that vector.
Cross product returns the result as a vector itself.
From the given graph we can conclude that the magnitudes are 10, and the direction angles are about 18º.
The statement describes the equivalent vector is A) The magnitudes are 10, and the direction angles are about 18º.
Learn more about vectors here;
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Store M sells 5 DVDs for $49. Store S sells 8 DVDs for $59.50. Which store offers the best deal
on DVDs?
Answers
hi
5 for 49 means : 49/5 = 9+4/5 = 9.80 each
8 for 59.50 means 59.50/8 ≈ 7.44
second offer is the best deal
F(x) = x^2 - 5x+8, g(x) = x^2-4
Find g(x)-f(x)
Answer Choices:
-5x-4
5x+12
5x-12
-5x-12
Answers
Answer:
-5x -12
Step-by-step explanation:
BRAINLIEST PLEASE
work out the inverse function
y=x-2
Answers
Answer:
x + 2
Step-by-step explanation:
Replace the x with y.
Making is x = y -2
Solve for x=y-2
and you get x+2
Answer:
x+2
Step-by-step explanation:
When doing inverse functions, you switch the x and y.
x = y-2
Then you solve for y (add the 2 to the other side to get "y" by itself)
y = x+2
What is the value of x
Answers
Answer:
x=39
Step-by-step explanation:
First I try to find the angle measurements for the rest of the angles inside the triangle. I saw that the 68 degrees and I notice that it was vertical angles, meaning that the inside is also 68. I then notice that the 107 and the other unknown angle besides x must be 180 when adding up, so I can do 180-107=73. Now I know that that angle is 73 degrees I can find x by solving this equation 180=73+68+x, which the answer comes out to be 39. so x=39.
Hope this helps you