Answer:
4sqrt(3) = 6.928
Step-by-step explanation:
Ratio of the lengths of the sides of a 36-60-90 triangle:
short leg : long leg : hypotenuse
1 : sqrt(3) : 2
The short leg is sqrt(3) times shorter than the long leg.
The hypotenuse is twice the short leg.
long leg = 6
short leg = 6/sqrt(3)
hypotenuse = 12/sqrt(3)
12/sqrt(3) * sqrt(3)/sqrt(3) = 12sqrt(3)/3 = 4sqrt(3)
Convert the following:
22 tons is equivalent to
kilograms
Answer:
19958.1
step-by-step explanation:
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
You are hiking and are trying to determine how far away the nearest cabin is, which happens to be due north from your current position. Your friend walks 245 yards due west from your position and takes a bearing on the cabin of N 22.6°
e. How far are you from the cabin?
Answer:
589 yards
Step-by-step explanation:
This is a question that requires the use of trigonometric functions.
The trigonometric function to be used here is the tangent function.
tan θ = Opposite side/ Adjacent side
In the question, we are told
Your friend walks 245 yards due west from your position = Opposite side
Your friend's takes a bearing on the cabin of N 22.6° = θ
Your distance from the cabin = Adjacent side
Hence,
tan 22.6 ° = 245/ Adjacent side
Cross Multiply
Adjacent side = 245/ tan 22.6°
Adjacent side = 588.57469726 yards.
Therefore, your distance from the cabin approximately to the nearest yard(whole number) = 589 yards
If f(x) = 2(x − 5), find f(8). 4 6 8 16
Answer:
f(8) = 6
Step-by-step explanation:
Plug in 8 as x in the function:
f(x) = 2(x − 5)
f(8) = 2(8 - 5)
f(8) = 2(3)
f(8) = 6
Answer:
[tex]\large \boxed{\mathrm{6}}[/tex]
Step-by-step explanation:
[tex]f(x)=2(x-5)[/tex]
Replace x with 8 to find f(8).
[tex]f(8)=2(8-5)[/tex]
Evaluate.
[tex]f(8)=2(3)[/tex]
[tex]f(8)=6[/tex]
HELPP NEEDED ASAP PLEASE.
There are 20n members in the Trumpington marching band, and when they line up in rows of 26, there are 4 band members left over. If n is an integer and there are fewer than 1000 band members, what is the maximum number of people that could be in the Trumpington marching band?
Answer:
The maximum number of people that can be in the Trumpington marching band is 940 people
Step-by-step explanation:
The number of members = 20·n
The number per row = 26
The number left = 4
Therefore, we have;
If there are x rows of 26, we have;
26 × x = 20·n - 4
We have;
26 × x < 996
26 × x < 20·n
20·n < 996 therefore, 20·n ≤ 980
We check that 980/26 = 37 and some fractions
26 × 37 = 962 which will leave a remainder of 2
Therefore, we note that for 26 to have a remainder of 4, the last digit of the factor x must be 6 so has to get the last digit of the product 26 × x to be 6 while the digit of the product 20×n is 0 which will live 4 members out to get to the next 10 as follows;
26 × 36 = 936 while 20 × 47 = 940
We get 940 - 936 = 4 members
Therefore, the maximum number of people that can be in the Trumpington marching band = 940.
Compute the value of each expression |-1||-||5|
Answer:
5
Step-by-step explanation:
The absolute value is the distance between a number and zero. The distance between − 1 and 0 is 1
1 |-5|
Multiply | − 5 | by 1
The absolute value is the distance between a number and zero. The distance between − 5 and 0 is 5
Hope this can help
Factor 8(9) + 18
8(9+18)
9(8+2)
18(4+1)
18(1+4)
[tex]8(9)+18[/tex]
$=8\cdot9+2\cdot9$
$=(8+2)\cdot9$
Sketch the graphs y=1/3x+2
Answer:
mark a dot 2 on the y axis and from there go up one right 3 until you can anymore then go back to the two and go down one left 2
Step-by-step explanation:
A triangle has sides of lengths 16, 63, and 65. Is it a right triangle? Explain.
Answer:
Yes
Step-by-step explanation:
If a triangle is a right triangle, the 3 side lengths will check out in the Pythagorean Theorem.
[tex]a^2+b^2=c^2[/tex]
where a and b are the legs and c is the hypotenuse.
The legs are the 2 shorter lengths and the hypotenuse is the longest length. The 3 side lengths are: 16,63 and 65. Therefore, 16 and 63 are the legs and 65 is the hypotenuse.
a=16
b=63
c=65
[tex]16^2+63^2=65^2[/tex]
Evaluate each exponent.
16^2=16*16=256
[tex]256+63^3=65^2[/tex]
63^2=63*63=3969
[tex]256+3969=65^2[/tex]
65^2=65*65=4225
[tex]256+3969= 4225[/tex]
Add 256 and 3969
[tex]4225=4225[/tex]
The statement above is true; 4225 is equal to 4225. Therefore, this is a right triangle because the side lengths check out when plugged into the Pythagorean Theorem.
Match the graph with the correct equation. Please help!
Answer:
y = -x -2
Step-by-step explanation:
The graph has a slope of -1 and a y-intercept of -2.
The equation is therefore
y = -x -2
a man bought a set of furniture listed 2350. he received a discount of 5% and then paid 3 % sales tax on the selling price. the sales tax was
Answer:
Sales tax on selling price: $2232.50(0.03) = $66.98
Step-by-step explanation:
List price: $2350
5% discount: 0.05($2350) = $117.50
Sale (selling) price: List price less discount: $2350 - $117.50 = $2232.50
Sales tax on selling price: $2232.50(0.03) = $66.98
Roselyn is driving to visit her family, which lives 150150150 kilometers away. Her average speed is 606060 kilometers per hour. The car's tank has 202020 liters of fuel at the beginning of the drive, and its fuel efficiency is 666 kilometers per liter. Fuel costs 0.600.600, point, 60 dollars per liter.
Answer:
see explanation (please confirm if I read you problem correctly)
Step-by-step explanation:
150 kilometers
60 kph
tank is 20 liters
6 km/l
150/6 = 25 liters needed
$60/l
you will need to get 5 more liters of fuel
total cost 25 x .60 = $15
Answer:
AHHHHH I think its two hours
Step-by-step explanation:
she...? can drive 120 Kilometers before she runs out of fuel since the car's tank has 20 liters of fuel at the beginning of the drive, and its fuel efficiency is 6 kilometers per liter. and that means she can drive 2 hours
Simplify 7^ -5/6 x 7^-7/6
Answer:
1/49
Step-by-step explanation:
If you add this is the calculator, I think it will come out.
━━━━━━━☆☆━━━━━━━
▹ Answer
1/49
▹ Step-by-Step Explanation
7^-5/6 * 7^-7/6
= 1/7²
= 1/49
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Please help solve this, I solved it on my own but I think my calculations are wrong. here is the problem,
b-(b+a×4c÷4); use; a=-6, b=1, and c=2?
Hi there! Hopefully this helps!
----------------------------------------------------------------------------------------------------------
Answer: 12~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~First we need to substitute the value of the variable into the expression and simplify.
b-(b+a×4c÷4) = 1 - (1 + -6 × 4(2) ÷ 4).
Now we need to solve 1 - (1 + -6 × 4(2) ÷ 4).
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
1 - (1 + -6 × 4(2) ÷ 4)
|
| First, we cancel out 4 and 4.
\/
1 - (1 - 6 × 2)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Next, we multiply -6 and 2 to get -12.
1 - (1 - 12)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Then we subtract 12 from 1 to get -11.
1 - (-11)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The opposite of -11 is 11.
1 + 11.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Add 1 and 11 to get, you guessed it, 12!Answer:
Answer: 12
Hope this helps
What is the greatest common factor of 30, 90 and 75?
how do i solve this ?(x+3)(x-5)=
[tex](x+3)(x-5)=x^2-5x+3x-15=x^2-2x-15[/tex]
Answer:
Step-by-step explanation:
Use FOIL method
(x + 3)(x - 5) = x*x + x *(-5) + 3*x + 3*(-5)
= x² - 5x +3x - 15 {add like terms}
= x² - 2x -15
plz help ASAP! last question thank u
Answer:
The correct Option is Option A
Step-by-step explanation:
Does coordinate p or coordinate q represent a greater number?
PLEASE HELP!!
Answer: the answer is P
Step-by-step explanation:
If the function 5x + y = 1 has the domain {-2, 1, 6}, then what is the corresponding range?
Answer:
{ 11, -4, -29}
Step-by-step explanation:
5(-2) + y = 1
-10 + y = 1
y = 11
5(1) + y = 1
y = -4
5(6) + y = 1
30 + y = 1
y = -29
Answer:
The Range is the set: { -29, -4, 11 }
Step-by-step explanation:
You need to apply the given function to the x-values of the Domain, to find what values of the Range they are associated with. So let's start by isolating y on one side of the expression:
y = 1 - 5 x
Now let's find what values they result when x = -2, 1, and 6:
y = 1 - 5 (-2) = 1 + 10 = 11
y = 1 - 5 (1) = 1 - 5 = -4
y = 1 - 5 (6) = 1 - 30 = -29
Therefore the Range is the set: { -29, -4, 11 }
You want to borrow three rock CDs from your friend. She loves math puzzles and she always makes you solve one before you can borrow her stuff. Here's the puzzle: Before you borrow three CDs, she will have 39 CDs. She will have half as many country CDs as rock CDs, and one-fourth as many soundtracks as country CDs. How many of each type of CD does she have after you borrow three rock CDs?
Answer:
Rock CD's=21
Country CD's=12
Soundtrack CD's=3
Step-by-step explanation:
let
r= rock CD's
c = country CD's
s = soundtrack CD's
Total CD's=r + c + s =39
2c=r
c/4=s
2c+c+c/4=39
8c+4c+c=156
13c=156
c=12
Substitute c=12 into 2c=r
2c=r
3(12)=r
24=r
r=24
Substitute c=12 into c/4=s
c/4=s
12/4=s
3=s
s=3
Therefore, she has
c=12
s=3
r=24
before she borrowed you 3 rock CD's
Sha has
r=21
s=3
c=12
after you borrowed 3 rock CD's
Identify the sample as biased or unbiased and describe its type. John wanted to know about the popularity of a particular movie. He surveyed 20% of the people in 5 different theaters.
Answer: unbiased; simple random sampling
Step-by-step explanation:
From the question, we are informed that John wanted to know about the popularity of a particular movie and that he surveyed 20% of the people in 5 different theaters.
This is an unbiased sample. This is because everybody at the theaters have an equal chance of being chosen by John.
Also, it's a simple random sampling. This is because a subset of the entire population is randomly selected.
[tex] \frac{15x - 8 }{3} + \frac{9x - 3}{2} [/tex]
Greetings from Brasil...
Here is the problem:
[(15X - 8)/3] + [(9X - 3)/2]
Let's multiply everything by 6
[6.(15X - 8)/3] + [6.(9X - 3)/2]
[2.(15X - 8)] + [3.(9X - 3)]
30X - 16 + 27X - 9
57X - 25Solve for b. -11b+7 = 40 b=
Answer:
B= -3
Step-by-step explanation:
Move the terms that do not contain b to the right then solve. Hope this helps!
Answer:
[tex]\large \boxed{{b=-3}}[/tex]
Step-by-step explanation:
[tex]-11b +7=40[/tex]
Subtract 7 from both sides.
[tex]-11b +7-7=40-7[/tex]
[tex]-11b=33[/tex]
Divide both sides by -11.
[tex]\displaystyle \frac{-11b}{-11} =\frac{33}{-11}[/tex]
[tex]b=-3[/tex]
Answer the question below. Type your response in the space provided. Then compare your answer to the sample answer.
Point B(-2,4) lies on a circle centered at A(1, 3). Write a paragraph proof to determine whether C(4, 2) also lies on the circle.
В І О
x x
Font Sizes
A- A
DEE
Characters used: 0/15000
Submit
Answer: see proof below
Step-by-step explanation:
The standard equation of a circle is (x - h)² + (y - k)² = r² where (h. k) is the center of the circle and r is the radius. It is given that A (h, k) = (1, 3) and point B (x, y) = (-2,4) is on the circle. Substitute the center (h, k) and point B(x, y) = (-2,4) into the standard equation of a circle to get r² = 10. To prove that C(x, y) = (4, 2) is also a point on the circle, substitute the center (h, k) and the point C(x, y) = (4, 2) into the standard equation of a circle to get r² = 10. Since the radius is the same for both point B and point C and it is given that point B is on the circle, then we must conclude that point C is also on the circle.
Answer:
I am given that the center of a circle is at A(1, 3) and that point B(-2, 4) lies on the circle. Applying the distance formula to A and B, I get the following:
AB=Square Root ( (-2 - 1 )^2 + (4 - 3 )^2 ) = Square root ( 9 + 1 )
AB = Square root (10)
Since B lies on the circle, this length is the length of the radius of the circle. Applying the distance formula to A and C(4, 2), I get the following:
AC = Square Root ( ( 4 - 1 )^2 + (2 - 3 )^2 ) = Square root ( 9 + 1 )
AC = Square root (10)
Thus, the distance to C from the center A is equal to the length of the radius of the circle. Any point whose distance from the center is equal to the length of the radius lies on the circle. Therefore, point C lies on the circle.
Step-by-step explanation:
Ja'Von kicks a soccer ball into the air. The function f(x) = –16(x – 2)2 + 64 represents the height of the ball, in feet, as a function of time, x, in seconds. What is the maximum height the ball reaches?
Answer:
The maximum height the ball reaches is 64 feet
Step-by-step explanation:
The given function is f(x) = -16·(x - 2)² + 64
From the equation, the path described by the ball is an inverted n-shaped parabola
The maximum height is therefore, the tip of the parabola
At the maximum height, the slope = 0 because the tip is momentarily flat
Since the slope (y₂ - y₁)/(x₂ - x₁) = The derivative Δy/Δx, we find the derivative of the function and equate it to zero to find the coordinates at the maximum height
Δy/Δx = dy/dx = d(-16·(x - 2)² + 64)/dx = -32·(x - 2) = -32·x + 64
To check if it is a maximum, we have;
d²y/dx² = d(-32·x + 64)/dx = -32 which is negative, indicating that the slope is reducing and we at the maximum point of the slope
Therefore for the maximum height Δy/Δx = dy/dx = -32·x + 64 = 0
64 = 32·x
x = 64/32 = 2 seconds
We now have the x-value at the slope, the f(x) value, is therefore;
f(2) = -16·(2 - 2)² + 64 = 64 feet
Therefore, the maximum height the ball reaches is 64 feet.
Answer:
D: 6
Step-by-step explanation:
I got it right on the test Edge nuity
The graph below shows the solution to which system of inequalities ?
Answer:
A
Step-by-step explanation:
A dotted line means its either greater than or less than. A undotted line means its also equal to the number aswell.
To find the right answer all you need is the first part because y has to be greater than or equal to 2 as shown from the graph. So the answer has to be A. As it is the only one that shows this.
What is the prime factorization of 270?
Answer:
[tex]\boxed{3^3 * 2 * 5}[/tex]
Step-by-step explanation:
Look at the image below ↓
Answer:
16 factors of 270
Step-by-step explanation:
1*270
2*135
3*90
5*54
6*45
9*30
10*27
15*18
33. Simplify:
[tex]a ^{2} \times a ^{4} [/tex]
HELP! answer if you can!!!
Answer:
a^2 × a^4
= a^2+4
= a^6
Remember:
a^n × a^m= a^n+m
Hope it helps
if u have any question let me know in comments ^_^
Answer:
[tex]a^2 * a^4 = \\a^{(2 + 4)} = \\a^6[/tex]
Step-by-step explanation:
Hope it helps!
What’s is the formula for the fill arithmetic sequence? -9,-2,5,12
Answer:
a +d = a2
Step-by-step explanation:
-2 - (-9) =
-2+9=7
a + d = a2
-2(8 - 1)= complete the following statement
We simplify the expression by subtracting 1 from 8, resulting in 7. We then multiply 7 by -2 to obtain the final answer of -14.
To simplify the given expression, -2(8 - 1), we can start by evaluating the expression inside the parentheses,
8 - 1 = 7
Now, we substitute this value back into the original expression:
-2(7)
Multiplying -2 by 7, we get:
-2 * 7 = -14
Therefore, -2(8 - 1) simplifies to -14.
In this case, we simplified the expression inside the parentheses first and then applied the multiplication operation. It's important to remember that when there is a negative sign in front of parentheses, it distributes to each term inside the parentheses. So, -2 multiplied by 8 gives -16, and -2 multiplied by -1 gives +2. The sum of -16 and +2 is -14.
In summary, when we evaluate the expression -2(8 - 1), the result is -14. This means that if we follow the order of operations (parentheses first, then multiplication), we simplify the expression by subtracting 1 from 8, resulting in 7. We then multiply 7 by -2 to obtain the final answer of -14.
For more such questions on expression
https://brainly.com/question/29070527
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Question 1 (
Multiple Choice Worth 3 points)
(07.04)
The cost of 3 slices of pizza is $4.89. What is the cost of each slice of pizza?
O $1.63
$1.89
O $2.45
O $2.88
Answer:
Each slice of pizza cost:
$1.63
Step-by-step explanation:
4.89/3 = 1.63
Answer:
$1.63
Step-by-step explanation:
We want to find the cost per slice of pizza. Therefore, we must divide the total cost by the number of slices of pizza.
cost / slices
It costs $4.89 for 3 slices.
$4.89 / 3 slices
Divide 4.89 by 3 (4.89/3=1.63)
$1.63 / slice
The cost of each slice of pizza is $1.63
