Answer:
[tex]12\:\mathrm{ft}[/tex]
Step-by-step explanation:
When the ladder is leaning against the wall, a 30-60-90 triangle is formed. The ladder acts as a 24-foot hypotenuse. Because the height is facing the [tex]30^{\circ}[/tex] angle, the height is half the hypotenuse (30-60-90 rules). If you forget the side rules for a 30-60-90 triangle, simply use basic trig on the right triangle:
[tex]\sin 30^{\circ}=\frac{h}{24},\\h=24\sin 30^{\circ},\\h=24\cdot \frac{1}{2},\\h=\fbox{$12\:\mathrm{ft}$}[/tex].
Please help me ASAP........
Answer:
More on supplies than she earned in sales.
Answer:
She spent 25 dollars from her pocket. No profit
Step-by-step explanation:
What is the equation in point-slope form of a line that passes through the points (3, −5) and (−8, 4) ?
y+4=−911(x−8)
y+4=−15(x−8)
y−4=−15(x+8)
y−4=−911(x+8)
Answer:
y-4=–911(x+8)
please mark as brainliest
Answer:y-4=–911(x+8)
Step-by-step explanation:
This is the correct answer i do k12
Natalie has 16 close friends. How many ways can she choose 5 to E
bridesmaids in her wedding?
Answer:
80 ways
Step-by-step explanation:
You just miltiply 16 by 5 and you get your answer. Hope this helps!!!!!
Please help me....................
Answer:
B = 43°
a = 44.7
c = 53.3
Step-by-step explanation:
✔️B = 180° - (90° + 47°) (sum of interior angles of a ∆)
B = 180 - 137
B = 43°
✔️Use trigonometric ratio formula to find a:
reference angle = 47°
Opposite = a
Adjacent = 29
Thus,
tan 47 = a/29
Multiply both sides by 29
29*tan 57 = a
44.7 = a
a = 44.7 (nearest tenth)
✔️Use trigonometric ratio formula to find a:
reference angle = 47°
Opposite = a = 44.7
Hypotenuse = c
Thus,
Sin 47 = 44.7/c
Multiply both sides by c
c*sin 57 = 44.7
Divide both sides by sin 57
c = 44.7/sin 57
c = 53.3 (nearest tenth)
Which regression equation best fits these data ?
Answer:
C. [tex]y = -0.30\cdot x^{2}-0.48\cdot x+15.83[/tex]
Step-by-step explanation:
The best fit curve for the given set of points is the quadratic form, which is defined by:
[tex]y = A\cdot x^{2}+B\cdot x + C[/tex] (1)
Where:
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
[tex]A[/tex], [tex]B[/tex], [tex]C[/tex] - Coefficient.
The coefficient associated with the second-power component determines whether vertex is an absolute maximum or not. The vertex is an absolute maximum if and only if [tex]A < 0[/tex], otherwise it is an absolute minimum. From image we notice that resulting fit curve will have an absolute maximum, then [tex]A < 0[/tex]. Hence, the correct answer is C.
Answer: C
Step-by-step explanation:
What interval notation represents the data graphed below?
A. [1, 4]
B. [1, 4)
C. (1, 4)
D. (1, 4]
Arthur has a box which contains 6 black balls and n (n ≥ 2) white balls, then at random, he takes 3 balls from the box. If the probability of taking any ball is the same and Pₙ is the probability of taking 1 black ball and 2 white balls, what is the largest possible value for Pₙ?
Answer:
11/68 or 0.1618Step-by-step explanation:
Balls
Black - 6White - nOptions of getting 3 balls
1. White, black, black2. Black, white, black3. Black, black, whiteProbability P(n) in each option
1. WBB
P(w) = 6/(n + 6)P(b1) = n/(n + 6 - 1) = n/(n + 5)P(b2) = (n - 1)/(n + 5 - 1) = (n - 1)/(n + 1)P(n) =
P(w)P(b1)(P(b2) = 6/(n+6) × n/(n + 5) × (n - 1)/(n + 4) =6n(n - 1)/(n + 6)(n + 5)(n + 4)2. BWB
P(b1) = n/(n + 6)P(w) = 6/(n + 6 - 1) = 6/(n + 5)P(b2) = (n - 1)/(n + 5 - 1) = (n - 1)/(n + 4)P(n) =
P(b1)P(w)(P(b2) = n/(n+6) × 6/(n + 5) × (n - 1)/(n + 4) =6n(n - 1)/(n + 6)(n + 5)(n + 4)3. BBW
P(b1) = n/(n + 6)P(b2) = (n - 1)/(n + 6 - 1) = (n - 1)/(n + 5)P(w) = 6/(n + 5 - 1) = 6/(n + 4)P(n) =
P(b1)P(b2)(P(w) = n/(n+6) × (n - 1)/(n + 5) × 6/(n + 4) =6n(n - 1)/(n + 6)(n + 5)(n + 4)Final equation is same for each case:
P(n) = 6n(n - 1) / (n + 6)(n + 5)(n + 4)The easy way to find the maximum is to try the numbers or graph.
Both of the methods give the maximum integer n = 11 or n = 12
See attached graph
At both values n we get P(n):
P(11) = 6*11*10 / 15*16*17 = 11/68 = 0.1618 (rounded)P(12) = 6*12*11 / 16*17*18 = 11/68 = 0.1618 (rounded)A new car is purchased for 20000 dollars.The value of the cat depreciates at 12.5% per year.What will the value of the car be, to the nearest cent, after 11 years?
Answer:
$460.38
Step-by-step explanation:
Use the exponential decay formula, y = C(1 - r)^t
Plug in the original price, depreciation rate, and amount of time:
y = 20000(0.875)^11
y = 460.38
So, the car's value after 11 years will be $460.38
Suppose you saved $300 dollars from a summer job. If school starts September 1, can you afford a cell phone data plan of $29.95 per month for the next year(until next September 1)?
Answer:
No
Step-by-step explanation:
Given that:
Amount saved = $300
Monthly data cost = $29.95
Number of monthly data that can be done from saving :
= amount saved / monthly data cost
= $300 / $29.95
= 10.016694
Hence, saving can only last for 10 months of data subscription.
Hence it can't last till September 1, if the following year, which is about 12 months
EASY WORK!!! Please look at the picture and yes it’s easy for other people but not for me .
Answer:
#8 ---> 1/4 2/5 1/2 3/5
#9 ---> 6 3/8 6 1/2 6 3/4 6 5/6
#10 ---> 1.75 feet is the longest
the other lengths are 1.58 ft. and 1.67 ft.
Step-by-step explanation:
good luck!
it's easy if you turn them into decimals.
to do that, you just divide the numerator (top number) by the denominator (bottom number).
e.i. 1/4= .25 (25%)
1/2= .5 (50%)
3/5= .6 (60%)
Answer:
8. 1/4, 2/5, 1/2, 3/5
9. 6 3/8, 6 1/2, 6 3/4, 6 5/6
10. the length of the longest bar is 1.75 feet
Step-by-step explanation:
(just convert all the fractions to decimal, it will be easier for you to do!)
8.
3/5 = 0.6
1/4 = 0.25
1/2 = 0.5
2/5 = 0.4
9.
6 3/4 = 6.75
6 1/2 = 6.5
6 5/6 = 6.83
6 3/8 = 6.375
10.
1 7/12 = 1.583
1 2/3 = 1.6 or 1.7
integers between -9 and -2
Answer:
Step-by-step explanation:
the integers are -8,-7,-6,-5,-4,-3,
if I was 15 ft tall and I grew 17 yards how much have I grown
Answer:
66 ft or 22 yards
Step-by-step explanation:
1 yard = 3 ft.
Convert 15 ft to yards (multiply by 3) and add 17.
Solve -2a - 5 > 3
Which graph shows solutions
I-Ready diagnostic
Answer:
Step-by-step explanation:
Here you go mate
Step 1
-2a-5>3 Equation/Question
Step 2
-2a-5>3 Simplify
-2a-5>3
Step 3
-2a-5>3 Divide
answer
a<-4
Hope this helps
How are the hypotenuse and legs of a right triangle related?
Answer:
The sum of the legs is equal to the hypotenuse.
Step-by-step explanation:
I hope that this helps u..
Answer:
The relation between the sides and angles of a right triangle is the basis for trigonometry. The side opposite the right angle is called the hypotenuse (side c in the figure). The sides and the adjacent to the right angle are called legs (or catheti, singular: cathetus).
2 people work together take 5 hours to lay floors. How many hours does it take for 6 people to lay floors
Answer:
It takes ( hours for 6 people to lay floors
Step-by-step explanation:
2=5 divide it and for one person it would take 1 1/2 so then times 1 1/2 by 6.
Simplify: 14 + 3k = 6k - 7k
4k = 14
14 = -k
k = 14
4k = -14
a. y = 3x + 1 and x + y = 5
How do you solve this?
Answer:
Step-by-step explanation:
x + y = 5
y = 3x + 1
x + 3x + 1 = 5
4x + 1 = 5
4x = 4
x = 1
1 + y = 5
y = 4
(1, 4)
I will give brainiest to whoever answers correctly !!
When plotting points on the coordinate plane
below, which point would lie on the x-axis?
(6,0)
(0, 2)
(3.8)
(5,5)
Answer:
(6,0)
Step-by-step explanation:
If a pound of turkey costs $0.82, how much will n pounds cost?
Ryan has two jobs. He earns $9 per hour for x hours babysitting his cousins and he earns $18 per hour for y hours working at the coffee shop. Ryan will work both jobs. He is able to work no more than 10 hours a week, due to school commitments. Ryan wants to earn at least $72 a week, working a combination of both jobs.
Answer:
Umm I don't think you wrote out the whole question...
Step-by-step explanation:
$18 nine hours, $9 one hour = $177
$18 eight hours, $9 two hours = $162
$18 seven hours, $9 three hours = $153
$18 six hours, $9 four hours = $144
$18 five hours, $9 five hours = $135
$18 four hours, $9 six hours = $126
$18 three hours, $9 seven hours = $117
$18 two hours, $9 eight hours = $108
$18 one hour, $9 nine hours = $99
The population of a community of foxes is observed to fluctuate on a 10-year cycle due to variations in the availability of prey. When population measurements began (t=0, the population was 35 foxes. The growth rate in units of foxes>>year was observed to be P′(t)=5+10sinπt/5
a. What is the population 15 years later? 35 years later?
b. Find the population P(t) at any time t≥0.
Answer:
Population 15 years later P(15) = 100 + 50/π
Population 35 years later P(35) = 200 + 50/π
Population any t ≥ 0 P(t) = 35 + 50 /π + 5*t + 10*cos(π*t/5)
Step-by-step explanation:
P´(t) = 5 + 10*sinπt/5 ⇒ dP/dt = 5 + 10*sinπt/5
dP = ( 5 + 10*sinπt/5 ) *dt
P(t) = ∫ ( 5 + 10*sinπt/5 ) dt
P(t) = 5*t + 10 * ∫ sinπ*t/5* dt
P(t) = 5*t - 10*5/π *cos πt/5 + k
To determine k t = 0 P(t) = 35
P(0) = 5*0 - 50/π (1) + k
35 = - 50/π + k
k = 35 + 50/π and
P(t) = 5*t + 10*cos(π*t/5) + 35 + 50/π
b)P(t) = 35 + 50 /π + 5*t + 10*cos(π*t/5) (1)
a) Population 15 years later
P(15) = 35 + 50/π + 5*15 - 10
P(15) = 100 + 50/π
Again from equation (1)
P(35) = 35 + 50 /π + 5*35 + 10*cos(35*π/5)
P(35) = 35 + 50/π + 175 + 10*cos (7*π )
P(35) = 210 + 50/π - 10
P(35) = 200 + 50/π
If s= 6 inches, and the altitude, h, is 21 inches, what is the volume of the pyramid?
Answer: 42 inches
Step-by-step explanation:
To find the volume you multiply 1/3 of the base which is 6 then with 1/3 is 2 them multiply the altitude which is 21. So 2 times 21 is 42 inches
Answer:
The volume of the pyramid is 42 inches³.
Step-by-step explanation:
The formula is V = ⅓ A H. 6x21=126, 126x1/3=42.
PLZ HALP!!!!! the length of a rectange is 1 7/9 inches, and its width is 3/4 of its length. find the area of this rectangle.
9514 1404 393
Answer:
2 10/27 square inches
Step-by-step explanation:
The length is 1 7/9 = 16/9 inches. The width is 3/4 of that, so is ...
(3/4)(16/9) = 4/3 inches
The area is the product of length and width, so is ...
A = (16/9 in)(4/3 in) = 64/27 in²
The area of the rectangle is 2 10/27 square inches.
Bebe's Bakery can bake 175 loaves of bread in 5 hours as shown on the double number line diagram below. 5 Number of Hours Loaves of Bread 175 At that rate, how many loaves of bread can Bebe's Bakery bake in 8 hours? A. 35 loaves B. 240 loaves C. 280 loaves D. 350 loaves
Answer:
double number line diagram below. 5 Number of Hours Loaves of Bread 175 At Bakery bake in 8 hours? A. 35 loaves B. 240 loaves
Step-by-step explanation:
PLZZZZ HELPP ASAP!!! In a board game, you must roll two 6-sided number cubes. You can only start the game if you roll a 3 on at least one of the number cubes. Make a list of all the different possible outcomes when two number cubes are rolled. What fraction of the possible outcomes is favorable? Suppose you rolled the two number cubes 100 times, would you expect at least one 3 more or less than 34 times? Explain. Answer:
Hey there!
You should not expect more than 34 times to be favorable, because favorable outcomes are about 28% of outcomes, and 28% of 100 is 28, which is less than 34.
6/21 outcomes will be favorable.
Here is a list of all possible out comes:
1 - 1
1 - 2
1 - 3
1 - 4
1 - 5
1 - 6
2 - 2
2 - 3
2 - 4
2 - 5
2 - 6
3 - 3
3 - 4
3 - 5
3 - 6
4 - 4
4 - 5
4 - 6
5 - 5
5 - 6
6 - 6
The underlined ones have one or two 3's in their outcome. There are 21 outcomes total, and 6 of them have 3's in them. We will find the percentage by doing 6/21 = .286, or 28.6%. This means that for every 100 outcomes, you should expect about 29 of them to be favorable.
I hope it helps and have an amazing day! You've got this!
10 is what % of 50?
5 is what % of 50?
1 is what % of 50?
17 is what % of 50?
Answer:
10/50 X 100 = 20%
5/50 X 100 = 10%
1/50 X 100= 2%
17/50 X 100= 34%
Answer:
To calculate 10 percent of a number, simply divide it by 10 or move the decimal point one place to the left. To calculate 5 percent of a number, simply divide 10 percent of the number by 2. To find 1% of something (1/100 of something), divide by 100. For 17 is what % of 50 is hard. So maybe this is right? We need to multiply the decimal by the number we are finding the percentage of.
Step-by-step explanation:
10% is what % of 50?
Answer: 5%
5 is what % of 50?
Answer: 10
1 is what % of 50?
Answer: 2
17 is what % of 50?
Answer: 34
Hope this helps!
Hello please help me through 11-13 .
Answer:
Step-by-step explanation:
Points to remember while solving a system of linear equations,
1). If the equations have same slope, solution of the system will have no solution.
2). If both the equations are same, system will have infinitely many solutions.
3). If both the equations have different coefficients of variables, system of equations will have exactly one solution.
Question 11,
ax + 4y = 10 ------ (1)
-9x - 6y = -15
-3x - 2y = -5
-6x - 4y = -10
6x + 4y = 10 -------(2)
For infinitely many solutions,
Coefficients of variables will be same.
a = 6 will be the answer.
Option B is the correct option.
Question 12,
[tex]y=-\frac{3}{2}x+4[/tex] ---------(1)
[tex]y=-\frac{3}{2}x-4[/tex] ----------(2)
Since, slopes of both the equations are same as [tex]-\frac{3}{2}[/tex], lines will be parallel.
System will have NO SOLUTION.
Question 13,
x + 3y = 6 ------- (1)
6x + 18y = 36
x + 3y = 6 -------- (2)
Both the equations are same.
Therefore, system of the equations will have infinitely many solutions.
2x - 3y = -3 ------(1)
4x + 6y = 18
2x + 3y = 9 -------(2)
Coefficients of the variables are different, therefore, one solution.
3x + 2y = 6 -------(1)
6x - 4y = 24
3x - 2y = 12 -------(2)
One solution.
8x - 10y = 6
4x - 5y = 3 -------(1)
-4x + 5y = 3
4x - 5y = -3 ------(2)
One solution.
4x + 10y = 16
2x + 5y = 8 --------(1)
10x + 25y = 40
2x + 5y = 8 --------(2)
Infinitely many solutions.
12x-20=n(3x-5) plzzzz help fast
Answer:
n=4 x=4
Step-by-step explanation:
3-5 = -2
12-20 = -8
find their what they have in common = 4
12·4= 48
3·4= 12
rearrange = 48-20 = n (12-5)
we should end up with 28 = n · 7
now we just need to figure out what ? · 7 = 28 which is 4
n = 4
I'm not sure if I did this correctly but I hope it helps
If MN is a midsegment of ∆ABC, find the values of x and y.
Answer:
Step-by-step explanation:h
Answer:
d
Step-by-step explanation: