Answer:
31
Step-by-step explanation:
31
i need help on this problem
please help with question
A ladder leans against the side of a house. The angle of elevation of the ladder is 73°, and the top of the ladder is 14 ft above the ground. Find the distance from the bottom of the ladder to the side of the house. Round your answer to the nearest tenth.
Answer:
4.3 feets
Step-by-step explanation:
Given that:
Angle of elevation = 73°
Horizontal distance from foot of ladder to bottom of wall = x feets
Height of ladder = 14 feets
The horizontal distance, x :
Using trigonometry :
Tan θ = opposite / Adjacent
Tan θ = 14 / x
Tan 73 = 14 / x
3.2708526 * x = 14
x = 14 / 3.2708526
x = 4.2802295
x = 4.3 feets
Forty people were randomly sampled and surveyed as to the number of pets in their household. The results are listed below.
1
1
0
4
1
0
1
2
3
5
2
0
2
0
3
1
2
0
0
1
0
4
0
0
3
1
0
0
2
1
0
0
4
0
1
3
5
0
2
1
What is the BEST frequency table for these data?
a.
A 3-column table with 6 rows titled Pet Survey. Column 1 is labeled Number of pets with entries 0, 1, 2, 3, 4, 5. Column 2 is labeled Tally with entries 15, 10, 6, 4, 3, 2. Column 3 is labeled Frequency with entries 15, 10, 6, 4, 3, 2.
c.
A 3-column table with 6 rows titled Pet Survey. Column 1 is labeled Number of pets with entries 0, 1, 2, 3, 4, 5. Column 2 is labeled Tally with entries 10, 15, 4, 6, 2, 3. Column 3 is labeled Frequency with entries 10, 15, 4, 6, 2, 3.
b.
A 3-column table with 6 rows titled Pet Survey. Column 1 is labeled Number of pets with entries 15, 10, 6, 4, 3, 2. Column 2 is labeled Tally with entries 15, 10, 6, 4, 3, 2. Column 3 is labeled Frequency with entries 0, 1, 2, 3, 4, 5.
d.
A 3-column table with 6 rows titled Pet Survey. Column 1 is labeled Number of pets with entries 10, 15, 4, 6, 2, 3. Column 2 is labeled Tally with entries 10, 15, 4, 6, 2, 3. Column 3 is labeled Frequency with entries 0, 1, 2, 3, 4, 5.
Answer:
a
Step-by-step explanation:
edge
PLSSS HELP ME, THANKSSS
Step-by-step explanation:
What do you need help with?
A florist just received a shipment of 1308 roses. How many bouquets of a dozen roses can the florist make using the shipment of roses?
Answer: 109
Step-by-step explanation:
1308 divided by 12 = 109
Answer:
109
Step-by-step explanation:
1,308 divided by 12 equals 109
Evaluate the expression For x = 2 and y = 4
Answer:
ga is a counting number of times in
Step-by-step explanation:
k I have been working on this project for a year now so it will not care if we can get
expand the following 3x
k bye and sorry I have been thinking about traingle
10,000 times 100,00 help please
Answer:1,000,000
Step-by-step explanation:THERE U GO :)
A certain population increases at a rate proportional to the square root of the population. If the population goes from 2500 to 3600 in five years, what is the population at the end of t years
Answer:
[tex]P(t) = (2t + 50)^2[/tex]
Step-by-step explanation:
A certain population increases at a rate proportional to the square root of the population.
This means that the population can be described by the following differential equation:
[tex]\frac{dP}{dt} = r\sqrt{P}[/tex]
In which r is the growth rate.
Solving by separation of variables, we have that:
[tex]\frac{dP}{\sqrt{P}} = r dt[/tex]
Integrating both sides:
[tex]2\sqrt{P} = rt + K[/tex]
In which K is a random constant
[tex]\sqrt{P} = 0.5rt + K[/tex]
Finding the squares of both sides:
[tex]P(t) = (0.5rt + K)^2[/tex]
Finding the value of K
The initial population is of 2500. That is, when [tex]t = 0, P = 2500[/tex]. So
[tex]P(t) = (0.5rt + K)^2[/tex]
[tex]2500 = (0.5r(0) + K)^2[/tex]
[tex]K^2 = 2500[/tex]
[tex]K = \sqrt{2500}[/tex]
[tex]K = 50[/tex]
So
[tex]P(t) = (0.5rt + 50)^2[/tex]
Finding the value of r
Population of 3600 in 5 years(when t = 5). So
[tex]P(t) = (0.5rt + 50)^2[/tex]
[tex]3600 = (0.5r(5) + 50)^2[/tex]
[tex](2.5r + 50)^2 = 3600[/tex]
Taking the square root of both sides
[tex]\sqrt{(2.5r + 50)^2} = \sqrt{3600}[/tex]
[tex]2.5r + 50 = 60[/tex]
[tex]2.5r = 10[/tex]
[tex]r = 4[/tex]
So, the equation for the population at the end of t years is given by:
[tex]P(t) = (0.5rt + 50)^2[/tex]
[tex]P(t) = (0.5(4)t + 50)^2[/tex]
[tex]P(t) = (2t + 50)^2[/tex]
You have a box of chocolates (30 chocolates in the box). 15 are filled with caramel, 10 are filled with chocolate, and 5 are filled with cream. You and a friend pick a chocolate at random. What is the probability that you both pick chocolate
Answer:
10.34% probability that you both pick chocolate
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, it is not important if you or your friends picks first. So we use the combinations formula to find the number of desired and total outcomes.
Combinations Formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Desired outcomes:
10 are filled with chocolate, and we want to pick 2. So
[tex]D = C_{10,2} = \frac{10!}{2!(10-2)!} = 45[/tex]
Total outcomes:
The box has 30 chocolates, and 2 are picked, so:
[tex]T = C_{30,2} = \frac{30!}{2!(30-2)!} = 435[/tex]
Probability:
[tex]P = \frac{D}{T} = \frac{45}{435} = 0.1034[/tex]
10.34% probability that you both pick chocolate
HELP I M IN BIG TROUBLE PLZ HELP
SURFACE AREA HOW TO DO SURFACE AREA
Answer:
You can watch khan academy and it will show you also
Step-by-step explanation:
Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.
Factor 49z + 28. Write your answer as a product with a whole number greater than 1.
Answer:
87z
Step-by-step explanation:
a second truck arrives whose ladder, when extended,is 30 meters long. the base of this ladder is also 4 metres above the ground. for safety reasons, the max angle of elevation that the ladder can make is 70%
Answer: The maximum height of the wall that can be reached by the ladder on the second truck = 58.19 meters
Step-by-step explanation:
A diagram for the given situation is attached.
To find: AC
In right triangle ABF,
[tex]\dfrac{AB}{AE}=\sin 70^{\circ}\\\\\Rightarrow\ \dfrac{AB}{30}=0.9397\\\\\Rightarrow\ AB=30\times0.9397\approx 28.19[/tex]
Now AC = AB + BC = 28.19 + 30 meters = 58.19 meters
Therefore, the maximum height of the wall that can be reached by the ladder on the second truck = 58.19 meters
4 of 8
?
Find the LCM of 9 and 3
Answer:
the lcm of 4 and 8 is 8 and the lcm of 9 and 3 is 9
Step-by-step explanation:
hope this helpes you out
which expression is equivalent to 5b + 30?
A: b+6
B: 5b+6
C: 5(b+6)
D: 5(bx6)
Answer: C
Step-by-step explanation:
This circle has a radius of 5 cm. What is the area of the circle?
Use = 3.14.
A.
157 cm2
B.
31.4 cm2
C.
15.7 cm2
D.
78.5 cm2
Answer:
D
Step-by-step explanation:
Answer:
A=πr²
3.14×5²
3.14×25
=78.5cm²
Help me with this please.
Answer:
JL = 78
Step-by-step explanation:
MN is a midsegment. Based on the midsegment theorem,
MN = ½(JL)
MN = 5x - 16
JL = 4x + 34
Plug in the value
5x - 16 = ½(4x + 34)
5x - 16 = ½*4x + ½*34
5x - 16 = 2x + 17
Collect like terms
5x - 2x = 16 + 17
3x = 33
Divide both sides by 3
x = 11
✔️JL = 4x + 34
Plug in the value of x
JL = 4(11) + 34
JL = 44 + 34
JL = 78
Factorise:
4x^2+4xy+y^2-2^2
Answer:
Step-by-step explanation:
4x^2 + 4xy + y^2 = (2x + y)^2
and if we assume that 2x + y = A and because 4 = 2^2
A^2 - 2^2 = (A-2)*(A+2) .
The temperature at 6:00 a.m. was -6°F. By 12 noon, the temperature had increased by 15°F. What was the temperature at
12 noon?
Answer:
9°
Step-by-step explanation:
-6 + 15 = 9
Like terms are terms with the same
А.
constant.
B
variables and different exponents.
С
variable and exponent.
D
multiple.
Answer:
like terms have the same variables and powers. hope this helps
pleaseeee helppppppppp meeeeee
Answer:
x = 10 yd
Explanation:
These triangles are based on proportions. 12 yd is proportional to 18 yd, and x yd to 15 yd. We want to find x. We'll use the rule of three to calculate the unknown number.
12/18 = x/15
x = (12 · 15)/18
x = 10 yd (10 yards from the hut to the gold coins)
One day your parents will die then you will then your children will then your grand children and so on thats how it feels to be dead do you want to be with your family or not
Answer:
Yes that is truth that you have wrote
Answer:
ya but am always with them so i dont worryStep-by-step explanation:
9. If you borrow $200 at 10% for seven years, how much will you pay back by the end of the term?
Answer:
You will have to pay 140 dollars.
Step-by-step explanation:
Go onto calculator soup and look up simple interest calculator. :)
Can someone help with this mapping function I need help !
Answer:
A
Step-by-step explanation:
X's cannot have multiple outputs (y's) but y's can. The only one that prove thia is the case is A
Jada went to the mall yesterday with $30.
• She spent 2/5 of her money on a new purse.
She spent / of what was left at the food court.
• She gave $5 to her friend.
How much did she have left?
How does Einstein expect us to do math?
Answer:
aaa
Step-by-step explanation:
Pls help urgently extra points and mark brainlist
I NEED HELP! Reflections! Please and thank you.
When reflecting across the x axis, the x values remain the same and the y values become the opposite of the original.
P' = (0,-3)
F' = (4,-2)
M' = (2,3)
Q' = (-2,2)
what would you have if you had only 3 wishes
Answer:
I would ask for being rich with my first wish and then ask to stop discrimination in the world and for number 3 i would ask being famous
Step-by-step explanation:
While watching a football game, Jordan decided to list yardage gained as positive integers and yardage lost as negative integers. After these plays, Jordan recorded 14, -7, and -9. What was the overall gain or loss?
Answer:
There is a loss of 2 yards.
Step-by-step explanation:
To find the overall gain or loss, we add or subtract there values.
Initially, we have 0 yards.
Records 14, so 0 + 14 = 14, that is, for now a gain of 14
Then loses 7, so 14 - 7 = 7, for now a gain of 7.
Then, 7 - 9 = - 2, so in all, there is a loss of 2 yards.