Four thousand runners began the marathon. Eighty-nine percent of them completed the run. What percentage of the runner finished the marathon?
Answer:
3560 people.
Step-by-step explanation:
You have to do 89% × 4000.
Or 0.89×4000=3560.
So 3560 is the answer.
-8n+34=6(5+4n) help please
Answer:
n=1/8
Step-by-step explanation:
-8n+34=6(5+4n)
We move all terms to the left:
-8n+34-(6(5+4n))=0
We add all the numbers together, and all the variables
-8n-(6(4n+5))+34=0
We calculate terms in parentheses: -(6(4n+5)), so:
6(4n+5)
We multiply parentheses
24n+30
Back to the equation:
-(24n+30)
We get rid of parentheses
-8n-24n-30+34=0
We add all the numbers together, and all the variables
-32n+4=0
We move all terms containing n to the left, all other terms to the right
-32n=-4
n=-4/-32
n=1/8
Answer:
n= 0.125 or 1/8
Step-by-step explanation:
Distrubute 6 into (5+4n). It should give you 30+24n.
The equation should now look like this: -8n+34=30+24n.
Swap -8n with 30, giving -30+34=8n+24n. Add the numbers and the pronumerals together.
Now it will look like 4=32n. Divide the numbers, but unfortunately the number is small so the answer will have to be a decimal or a fraction. So it's 0.125 or 1/8.
If I didn't explain everything or something is wrong, please comment. I just signed up, so it's my first time using this.
A student was conducting a study to determine how many pagos he would need for the book he is writing. So, he found that the following number of words fit on each type of the following papers using an 11 point font:
The student looks up the word count on his favorite book, if the book has pages that are 5.5 in. x 6.5 in. and 67,062 words how many pages is the book?
Answer:
224 pages
Step-by-step explanation:
The book has pages that are 5.5in x 6.5 in (which holds 300 words)
There are a total of 67,062 words
Equation:
67,062 / 300 = total number of pages
67,062 = 223.54
That means 224 pages, because the last page is partially filled.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
en el coliseo de una ciudad, se jugo la final de un campeonato de voley . En total , 1200 personas asistieron al coliseo . esta cantidad de personas representa a los 3/4 de su capacidad. ¿Cual es la capacidad que tiene este coliseo?
a)900
b)1200
c)1600
d)4800
c. 1600
1200 : 3 * 4
= 400 * 4
= 1600
The capacity of this coliseum is 1600
The correct option is (C)
What is fraction?A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator.
Given:
Total people attended the Coliseum= 1200
let he capacity be x
3/4*x= 1200
x= 1200*4/3
x= 1600
Learn more about fraction here:
https://brainly.com/question/10354322
#SPJ6
Your question is incomplete/other language, probably the traslated question/missing part is:
In a city coliseum, the final of a volleyball championship was played. In total, 1,200 people attended the Coliseum. this number of people represents 3/4 of its capacity. What is the capacity of this coliseum?
Prove:1/sin²A-1/tan²A=1
Step-by-step explanation:
1/sin^2A -cos^2A/sin^2 A. ~tan = sin/cos
(1-cos^2)/sin^2A. ~ take lcm
sin^2A/sin^ A. ~ 1-cos^2A = sin^2A
1
for more free ans check bio
Answer:
[tex]\displaystyle \frac{1}{\sin^2x}-\frac{1}{\tan^2x}=1[/tex]
Step-by-step explanation:
Prove that:
[tex]\displaystyle \frac{1}{\sin^2x}-\frac{1}{\tan^2x}=1[/tex]
Recall that by definition:
[tex]\displaystyle \tan x=\frac{\sin x}{\cos x}[/tex]
Therefore,
[tex]\displaystyle \tan^2x=\left (\frac{\sin^2x}{\cos^2x}\right)^2=\frac{\sin^2x}{\cos^2x}[/tex]
Substitute [tex]\displaystyle \tan^2x=\frac{\sin^2x}{\cos^2x}[/tex] into [tex]\displaystyle \frac{1}{\sin^2x}-\frac{1}{\tan^2x}=1[/tex]:
[tex]\displaystyle \frac{1}{\sin^2x}-\frac{1}{\frac{\sin^2x}{\cos^2x}}=1[/tex]
Simplify:
[tex]\displaystyle \frac{1}{\sin^2x}-\frac{\cos^2x}{\sin^2x}=1[/tex]
Combine like terms:
[tex]\displaystyle \frac{1-\cos^2x}{\sin^2x}=1[/tex]
Recall the following Pythagorean Identity:
[tex]\sin^2x+\cos^2x=1[/tex] (derived from the Pythagorean Theorem)
Subtract [tex]\cos^2x[/tex] from both sides:
[tex]\sin^2=1-\cos^2x[/tex]
Finish by substituting [tex]\sin^2=1-\cos^2x[/tex] into [tex]\displaystyle \frac{1-\cos^2x}{\sin^2x}=1[/tex]:
[tex]\displaystyle \frac{\sin^2x}{\sin^2x}=1,\\\\1=1\:\boxed{\checkmark\text{ True}}[/tex]
I need help ASAP!! Please explain how to solve the problem
Answer:
B=.5*8*6=.5*48=24
h = 8
P=10+6+8=24
Surface area =2*24+24*8=48+192=240
Step-by-step explanation:
The base is a triangle, and the area of a triangle is 1/2 base (or width) times height (or length). In this case, base is 8 and height is 6, so the area can be found either by multiplying .5*8*6 or by dividing 8*6 by 2, either of which will give you the same answer of B=24.
Height is given, h=8.
Perimeter is simply the sum of the sides, which are given, so the perimeter is 8+6+10=24.
The formula for surface area is given, so all you need to do is plug in your previous answers and you've got it!
A pile of sand has been stored in the shape of a cone. Mr. Terwilliker knows that the pile is 20 feet tall and 102 feet in circumference at the base. What is the area of the conical tarpaulin needed to cover the pile?
Answer:
The area of tarpaulin is 1315.63 ft^2.
Step-by-step explanation:
height, h = 20 feet
circumference, C = 102 feet
Let the radius is r.
Circumference, C = 2 x 3.14 x r = 102
r = 16.24 feet
Let the slant height is L.
[tex]L = \sqrt{h^2 + r^2}\\\\L = \sqrt{20^2 + 16.24^2}\\\\L = 25.8 ft[/tex]
The curved surface area is
S = 3.14 x r x L
S = 3.14 x 16.24 x 25.8 = 1315.63 ft^2
Answer:
400pi square feet
Step-by-step explanation:
Find the radius
Find the slant height
Put it in the formula for a cone but take the circumference part out
Divide your answer by pi
The question asks for the closest answer
400pi square feet is the closest option to 418.17pi square feet.
Rewrite as a simplified fraction.
3.2 = ?
(Repeating)
Answer:
Step-by-step explanation:
29/9 or 3 2/9
Given that the two triangles are similar, solve for x if AU = 20x + 108, UB = 273, BC = 703, UV = 444, AV = 372 and AC = 589. You must show all of your work to receive credit.
PLSSS SHOW WORK <3
Answer:
x = 18
Step-by-step explanation:
First, let's find the ratios between the two triangles
We'll use AV and AC
372 ÷ 589 = 12/19
All of the sides of the smaller triangle are 12/19 of the bigger triangle
Now let's find x
We know that AU + UB = AB
So it's 20x + 108 + 273 = AB
12/19 of a bigger triangle side equals a small triangle side
(12/19)AB = AU
For this equation multiply both sides by 19/12 to isolate AB
(12/19)AB x 19/12 = AU x 19/12
AB = (19/12)AU
Now we have this
20x + 108 + 273 = (19/12)(20x + 108)
20x + 381 = (19/12)(20x + 108)
Distribute the 19/12
20x + 381 = 95/3x + 171
Move all like terms to one side
20x + 381 = 95/3x + 171
- 171 - 171
20x + 210 = 95/3x
- 20x - 20x
Don't forget about common denominators
210 = 95/3x - 60/3x
210 = 35/3x
Multiply both sides by 3
210 x 3 = 35/3x x 3
630 = 35x
Divide both sides by 35
630/35 = 35x/35
x = 18
Answer:
Step-by-step explanation:
[tex]\frac{20x+108}{20x+381}[/tex] = [tex]\frac{372}{589}[/tex]
589( 20x + 108 ) = 372( 20x + 381 )
11780x + 63612 = 7440x + 141732
4340x = 78120
x = 18
Draw graphs of the following inequalities.
a.) X>3
Answer:
Step-by-step explanation:
You are standing 186 feet away from the base of a building and your clinometer
measures 23° when it's looking at the top of the building. (This angle is the one between
the ground and the top of the building). Please calculate the height of the building.
9514 1404 393
Answer:
about 79 ft
Step-by-step explanation:
The relevant trig relation is ...
Tan = Opposite/Adjacent
In this scenario, the angle is 23°, the adjacent side is the distance to the building, and the opposite side is the building height. Then we have ...
height = tan(23°)·(186 ft) ≈ 78.95 ft ≈ 79 ft
HELP PLEASE ITS URGENT PLEASE
Answer: 17
Step-by-step explanation:
Using Pemdas, simplify the exponents, and then solve the multiplication and division inside the parentheses before subtracting. 10-9 = 1 so 1*7 =7
10 +7 is 17.
also i hope this helps and i hope this is not a test...
What is the slope of the line that
passes through these two points?
(0, 2)
(3, 8)
Remember, given two points,
(x1, yı)
Slope
rise (y2-yı)
(X2,92) run (x2-x1)
Simplify your answer completely.
Enter
Answer:
2
Step-by-step explanation:
We can use the slope formula
m = ( y2-y1)/(x2-x1)
m = ( 8-2)/(3-0)
= 6/3
= 2
Answer:
2
Brainliest, please!
Step-by-step explanation:
(0, 2)(3, 8)
y = +6
x = +3
y/x = 6/3 = 2
How do you solve part c
the unit are ???
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I need help on this A box contains 3 red, 4 green, and 3 yellow balls. If a ball is drawn at random, find the probability that the ball is red.
Answer:
3/10
Step-by-step explanation:
3 red, 4 green, and 3 yellow balls = 10 balls
P(red) = number of red balls / total balls
= 3/10
Please help explanation if possible
Your neighbor pays $40 to have her lawn mowed and always adds a 15% tip. You and your friend decide to mow the lawn together and split the earnings evenly.
How much will each of you make?
Answer:
$23
Step-by-step explanation:
A 15% tip on $40 is $6. The total you and your friend will receive is $46. When you split that evenly, you will each receive $23.
Cost of Mowing = $40
Tip = 15%
= 15/100×40
= $6
So you get $40 + $6
= $46
When you divide it in 2 people
= 46/2
= $23
Therefore each of you will make $23
Must click thanks and mark brainliest
Proportion problems
8 chickens would lay 20 eggs in 3 days.
If chickens always lay eggs at the same rate,
a) how many days would it take to chickens to lay 100 eggs?
= 10 days
b) how many chickens would be required if a farmer needed 30 eggs each day?
i need help how to do question b. i know answer bu,.t i need explaining.
:]
Write 128 as a product of its prime factors
Answer:
The prime factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2.
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
1. The position of a particle moving along a coordinate axis is given by: s(t) = t^2 - 5t + 1. a) Find the speed of the particle b) Find the acceleration of the particle c) Find the velocity of the particle
Answer: [tex]\left | 2t-5\right |,\ 2,\ 2t-5[/tex]
Step-by-step explanation:
Given
Position of the particle moving along the coordinate axis is given by
[tex]s(t)=t^2-5t+1[/tex]
Speed of the particle is given by
[tex]\Rightarrow v=\dfrac{ds}{dt}\\\\\Rightarrow v=\dfrac{d(t^2-5t+1)}{dt}\\\\\Rightarrow v=\left | 2t-5\right |[/tex]
Acceleration of the particle is
[tex]\Rightarrow a=\dfrac{dv}{dt}\\\\\Rightarrow a=2[/tex]
velocity can be negative, but speed cannot
[tex]\Rightarrow v=\dfrac{ds}{dt}\\\\\Rightarrow v=\dfrac{d(t^2-5t+1)}{dt}\\\\\Rightarrow v=2t-5[/tex]
Solve d−85=p for d .
Answer:
d = p + 85
Step-by-step explanation:
We don't have a lot to go on for this problem. We have two undefined variables.
In order to solve for d, we need to isolate it:
d - 85 = p
Add 85 to both sides
d = p + 85
PLEASE HELP!!! very confused
Answer:
Step-by-step explanation:
The vertices lie on the x-axis, as is determined by their coordinates. This makes the center of this hyperbola (0, 0) because the center is directly between the vertices. The fact that the foci also lie on the x-axis tells us that this is the main axis. What this also tells us is which way the hyperbola "opens". This one opens to the left and the right as opposed to up and down. The standard form for this hyperbola is:
[tex]\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1[/tex] and so far we have that h = 0 and k = 0.
By definition, a is the distance between the center and the vertices. So a = 5, and a-squared is 25. So we're getting there. Now here's the tricky part.
The expressions for the foci are (h-c, k) and (h+c, k). Since we know the foci lie at +/-13, we can use that to solve for c:
If h+c = 13 and h = 0, then
0 + c = 13 and c = 13.
We need that c value to help us find b:
[tex]c^2=a^2+b^2[/tex] and
[tex]13^2=5^2+b^2[/tex] and
[tex]169=25+b^2[/tex] and
[tex]144=b^2[/tex] so
b = 12. Now we're ready to fill in the equation:
[tex]\frac{x^2}{25}-\frac{y^2}{144}=1[/tex] and there you go!
What is the approximate radius of a sphere with a volume of 34 cm3?
A. 6 cm
O O
B. 2 cm
C. 8 cm
D. 4 cm
SUBMIT
Answer:
the answer is B.
Step-by-step explanation:
it is not A is because if the radius is 6 then the volume will be 904.32
the answer is B.
because is the radius is 2 cm then the area I calculate with this radius is 33.4933333333 and the question want the approximate radius and out of all the numbers this one is the closest so the answer is B
What is the value of a in the equation 3 a plus b equals 54, when b equals 9?
15
18
21
27
Answer:
a=15
Step-by-step explanation:
3a+b = 54
Let b=9
3a+9 = 54
Subtract 9 from each side
3a+9-9= 54-9
3a = 45
Divide each side by 3
3a/3 = 45/3
a = 15
Answer:
[tex]3a+b=54[/tex]
[tex]3a+9=54\:[b=9][/tex]
[tex]3a=54-9[/tex]
Subtract 9 from both sides
[tex]3a=45[/tex]
Divide both sides by 3
[tex]\frac{3a}{3}=\frac{45}{3}[/tex]
[tex]a=15[/tex]
OAmalOHopeO
the sides of this right triangle are 18 inches and 24 inches in length.
how long would the hypotenuse of this triangle be?
Answer:
30
Step-by-step explanation:
[tex]c^{2} = b^{2} + a^{2} \\[/tex] = formula
a = 24
b = 18
576+324 = 900
do [tex]\sqrt{900} \\[/tex]
= 30
Help with this question please!
Answer:
Step-by-step explanation:
6cos^2(x) + 7cos(x) +2 = 0
Call cos(x) = y to change this to something a little bit more familiar.
6y^2 + 7y + 2 =0
This equation is a quadratic. Solve it first. Then we'll go back to solving for cos(x)
This equation factors into 2 possible answers
(3y + 2)(2y + 1) = 0
3y + 2 = 0
3y = - 2
y = - 2/3
2y + 1 = 0
2y = - 1
y = - 1/2
Now let's start with
cos(x) = - 1/2
That means that x is in quadrant two or three.
cos-1(1/2) = 60 degrees.
Quad 2: x = 180 - 60 = 120
Quad 3: x = 180 + 60 = 240
Now cos(x) = - 2/3
cos-1(2/3) = 48.19
Quad 2: x = 180 - 48.19 = 131.81
Quad 3: x = 180 + 48.19 = 228.19
We are planning a reception for our daughter. The hall that we are renting charges a $50 cleanup fee. In
addition to the cleanup fee, they charge $20 per guest for food and drinks.
If we have $3,700.00 available, what is the maximum number of guest we can invite without going over ou
budget?
Answer:
The answer is 235
Step-by-step explanation:
it's just basic long divistion.
Find the area of the triangle
Answer:
Step-by-step explanation:11/2x(8-4)=22
An investor has an account with stock from two different companies. Last year, his
stock in Company A was worth $6600 and his stock in Company B was worth $3500.
The stock in Company A has increased 7% since last year and the stock in Company B
has increased 1%. What was the total percentage increase in the investor's stock
account? Round your answer to the nearest tenth (if necessary).
which choice is equivalent to the expression √20 + √80
Answer:
13.41
Step-by-step explanation:
Hope it helps!
Answer:
6[tex]\sqrt{5}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Simplifying the radicals
[tex]\sqrt{20}[/tex]
= [tex]\sqrt{4(5)}[/tex]
= [tex]\sqrt{4}[/tex] × [tex]\sqrt{5}[/tex] = 2[tex]\sqrt{5}[/tex]
[tex]\sqrt{80}[/tex]
= [tex]\sqrt{16(5)}[/tex]
= [tex]\sqrt{16}[/tex] × [tex]\sqrt{5}[/tex] = 4[tex]\sqrt{5}[/tex]
Then
[tex]\sqrt{20}[/tex] + [tex]\sqrt{80}[/tex]
= 2[tex]\sqrt{5}[/tex] + 4[tex]\sqrt{5}[/tex]
= 6[tex]\sqrt{5}[/tex]
